%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRA174-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 06:34:23 PM UTC 2026
% Result : Unsatisfiable 2.73s 2.93s
% Output : Proof 5.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA174-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:08:42 EDT 2026
% 0.15/0.33 % CPUTime :
% 2.73/2.93 % SZS status Unsatisfiable
% 2.73/2.93 % SZS output start Proof
% 2.73/2.93 tff(r_type, type, (
% 2.73/2.93 r: ( $i * $i ) > $o)).
% 2.73/2.93 tff(s_type, type, (
% 2.73/2.93 s: $i > $i)).
% 2.73/2.93 tff(z_type, type, (
% 2.73/2.93 z: $i)).
% 2.73/2.93 tff(b_type, type, (
% 2.73/2.93 b: ( $i * $i ) > $o)).
% 2.73/2.93 tff(elem_1_type, type, (
% 2.73/2.93 elem_1: $i)).
% 2.73/2.93 tff(inj_0_type, type, (
% 2.73/2.93 inj_0: $i > $i)).
% 2.73/2.93 tff(1,assumption,(~b(s(z), z)), introduced(assumption)).
% 2.73/2.93 tff(2,assumption,(~r(s(z), z)), introduced(assumption)).
% 2.73/2.93 tff(3,plain,
% 2.73/2.93 (^[X: $i] : refl((~(s(X) = z)) <=> (~(s(X) = z)))),
% 2.73/2.93 inference(bind,[status(th)],[])).
% 2.73/2.93 tff(4,plain,
% 2.73/2.93 (![X: $i] : (~(s(X) = z)) <=> ![X: $i] : (~(s(X) = z))),
% 2.73/2.93 inference(quant_intro,[status(thm)],[3])).
% 2.73/2.93 tff(5,plain,
% 2.73/2.93 (![X: $i] : (~(s(X) = z)) <=> ![X: $i] : (~(s(X) = z))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(6,axiom,(![X: $i] : (~(s(X) = z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','snz')).
% 2.73/2.93 tff(7,plain,
% 2.73/2.93 (![X: $i] : (~(s(X) = z))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[6, 5])).
% 2.73/2.93 tff(8,plain,(
% 2.73/2.93 ![X: $i] : (~(s(X) = z))),
% 2.73/2.93 inference(skolemize,[status(sab)],[7])).
% 2.73/2.93 tff(9,plain,
% 2.73/2.93 (![X: $i] : (~(s(X) = z))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[8, 4])).
% 2.73/2.93 tff(10,plain,
% 2.73/2.93 ((~![X: $i] : (~(s(X) = z))) | (~(s(z) = z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(11,plain,
% 2.73/2.93 (~(s(z) = z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[10, 9])).
% 2.73/2.93 tff(12,plain,
% 2.73/2.93 (^[Y: $i, X: $i] : refl(((X = Y) | b(X, Y) | r(X, Y)) <=> ((X = Y) | b(X, Y) | r(X, Y)))),
% 2.73/2.93 inference(bind,[status(th)],[])).
% 2.73/2.93 tff(13,plain,
% 2.73/2.93 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.73/2.93 inference(quant_intro,[status(thm)],[12])).
% 2.73/2.93 tff(14,plain,
% 2.73/2.93 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(15,plain,
% 2.73/2.93 (^[Y: $i, X: $i] : rewrite((((X = Y) | r(X, Y)) | b(X, Y)) <=> ((X = Y) | b(X, Y) | r(X, Y)))),
% 2.73/2.93 inference(bind,[status(th)],[])).
% 2.73/2.93 tff(16,plain,
% 2.73/2.93 (![Y: $i, X: $i] : (((X = Y) | r(X, Y)) | b(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.73/2.93 inference(quant_intro,[status(thm)],[15])).
% 2.73/2.93 tff(17,axiom,(![Y: $i, X: $i] : (((X = Y) | r(X, Y)) | b(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','rb')).
% 2.73/2.93 tff(18,plain,
% 2.73/2.93 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[17, 16])).
% 2.73/2.93 tff(19,plain,
% 2.73/2.93 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[18, 14])).
% 2.73/2.93 tff(20,plain,(
% 2.73/2.93 ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.73/2.93 inference(skolemize,[status(sab)],[19])).
% 2.73/2.93 tff(21,plain,
% 2.73/2.93 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[20, 13])).
% 2.73/2.93 tff(22,plain,
% 2.73/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = z) | b(s(z), z) | r(s(z), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = z) | b(s(z), z) | r(s(z), z))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(23,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = z) | b(s(z), z) | r(s(z), z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(24,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = z) | b(s(z), z) | r(s(z), z)),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[23, 22])).
% 2.73/2.93 tff(25,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[24, 21, 11, 1, 2])).
% 2.73/2.93 tff(26,plain,(b(s(z), z) | r(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(27,plain,
% 2.73/2.93 (r(s(z), z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[26, 1])).
% 2.73/2.93 tff(28,plain,
% 2.73/2.93 ((s(s(z)) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(z)))),
% 2.73/2.93 inference(commutativity,[status(thm)],[])).
% 2.73/2.93 tff(29,plain,
% 2.73/2.93 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(z)) = s(s(s(s(z)))))),
% 2.73/2.93 inference(symmetry,[status(thm)],[28])).
% 2.73/2.93 tff(30,plain,
% 2.73/2.93 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(z)) = s(s(s(s(z))))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[29])).
% 2.73/2.93 tff(31,plain,
% 2.73/2.93 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0) <=> ![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(32,plain,
% 2.73/2.93 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y)) <=> ![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(33,plain,
% 2.73/2.93 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(34,axiom,(![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sinj')).
% 2.73/2.93 tff(35,plain,
% 2.73/2.93 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[34, 33])).
% 2.73/2.93 tff(36,plain,(
% 2.73/2.93 ![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.73/2.93 inference(skolemize,[status(sab)],[35])).
% 2.73/2.93 tff(37,plain,
% 2.73/2.93 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[36, 32])).
% 2.73/2.93 tff(38,plain,
% 2.73/2.93 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[37, 31])).
% 2.73/2.93 tff(39,plain,
% 2.73/2.93 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(z))) = s(z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(40,plain,
% 2.73/2.93 (inj_0(s(s(z))) = s(z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[39, 38])).
% 2.73/2.93 tff(41,assumption,(s(s(s(s(z)))) = s(s(z))), introduced(assumption)).
% 2.73/2.93 tff(42,plain,
% 2.73/2.93 (inj_0(s(s(s(s(z))))) = inj_0(s(s(z)))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[41])).
% 2.73/2.93 tff(43,plain,
% 2.73/2.93 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(z))))) = s(s(s(z))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(44,plain,
% 2.73/2.93 (inj_0(s(s(s(s(z))))) = s(s(s(z)))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[43, 38])).
% 2.73/2.93 tff(45,plain,
% 2.73/2.93 (s(s(s(z))) = inj_0(s(s(s(s(z)))))),
% 2.73/2.93 inference(symmetry,[status(thm)],[44])).
% 2.73/2.93 tff(46,plain,
% 2.73/2.93 (s(s(s(z))) = s(z)),
% 2.73/2.93 inference(transitivity,[status(thm)],[45, 42, 40])).
% 2.73/2.93 tff(47,plain,
% 2.73/2.93 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(z)) = z)),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(48,plain,
% 2.73/2.93 (inj_0(s(z)) = z),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[47, 38])).
% 2.73/2.93 tff(49,assumption,(s(s(s(z))) = s(z)), introduced(assumption)).
% 2.73/2.93 tff(50,plain,
% 2.73/2.93 (inj_0(s(s(s(z)))) = inj_0(s(z))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[49])).
% 2.73/2.93 tff(51,plain,
% 2.73/2.93 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(z)))) = s(s(z)))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(52,plain,
% 2.73/2.93 (inj_0(s(s(s(z)))) = s(s(z))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[51, 38])).
% 2.73/2.93 tff(53,plain,
% 2.73/2.93 (s(s(z)) = inj_0(s(s(s(z))))),
% 2.73/2.93 inference(symmetry,[status(thm)],[52])).
% 2.73/2.93 tff(54,plain,
% 2.73/2.93 (s(s(z)) = z),
% 2.73/2.93 inference(transitivity,[status(thm)],[53, 50, 48])).
% 2.73/2.93 tff(55,plain,
% 2.73/2.93 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(z)) = z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(56,plain,
% 2.73/2.93 (~(s(s(z)) = z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[55, 9])).
% 2.73/2.93 tff(57,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[56, 54])).
% 2.73/2.93 tff(58,plain,(~(s(s(s(z))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(59,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[58, 46])).
% 2.73/2.93 tff(60,plain,(~(s(s(s(s(z)))) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(61,plain,
% 2.73/2.93 (~(s(s(z)) = s(s(s(s(z)))))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[60, 30])).
% 2.73/2.93 tff(62,assumption,(~b(s(s(elem!1)), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.93 tff(63,assumption,(~b(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 2.73/2.93 tff(64,plain,
% 2.73/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(z))) | b(s(s(s(s(z)))), s(s(z))) | r(s(s(s(s(z)))), s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(z))) | b(s(s(s(s(z)))), s(s(z))) | r(s(s(s(s(z)))), s(s(z))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(65,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(z))) | b(s(s(s(s(z)))), s(s(z))) | r(s(s(s(s(z)))), s(s(z))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(66,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(z))) | b(s(s(s(s(z)))), s(s(z))) | r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[65, 64])).
% 2.73/2.93 tff(67,plain,
% 2.73/2.93 ((s(s(s(s(z)))) = s(s(z))) | b(s(s(s(s(z)))), s(s(z))) | r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[66, 21])).
% 2.73/2.93 tff(68,plain,
% 2.73/2.93 (b(s(s(s(s(z)))), s(s(z))) | r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[67, 60])).
% 2.73/2.93 tff(69,plain,
% 2.73/2.93 (r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[68, 63])).
% 2.73/2.93 tff(70,assumption,(r(s(z), s(s(z)))), introduced(assumption)).
% 2.73/2.93 tff(71,assumption,(r(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 2.73/2.93 tff(72,assumption,(r(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.93 tff(73,plain,
% 2.73/2.93 (^[X0: $i, X2: $i, X1: $i] : refl(((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))))),
% 2.73/2.93 inference(bind,[status(th)],[])).
% 2.73/2.93 tff(74,plain,
% 2.73/2.93 (![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.73/2.93 inference(quant_intro,[status(thm)],[73])).
% 2.73/2.93 tff(75,plain,
% 2.73/2.93 (![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(76,plain,
% 2.73/2.93 (^[X0: $i, X2: $i, X1: $i] : rewrite((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) <=> ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))))),
% 2.73/2.93 inference(bind,[status(th)],[])).
% 2.73/2.93 tff(77,plain,
% 2.73/2.93 (![X0: $i, X2: $i, X1: $i] : (((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) <=> ![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.73/2.93 inference(quant_intro,[status(thm)],[76])).
% 2.73/2.93 tff(78,axiom,(![X0: $i, X2: $i, X1: $i] : (((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axr')).
% 2.73/2.93 tff(79,plain,
% 2.73/2.93 (![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[78, 77])).
% 2.73/2.93 tff(80,plain,
% 2.73/2.93 (![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[79, 75])).
% 2.73/2.93 tff(81,plain,(
% 2.73/2.93 ![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.73/2.93 inference(skolemize,[status(sab)],[80])).
% 2.73/2.93 tff(82,plain,
% 2.73/2.93 (![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[81, 74])).
% 2.73/2.93 tff(83,plain,
% 2.73/2.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(84,plain,
% 2.73/2.93 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(85,plain,
% 2.73/2.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[84])).
% 2.73/2.93 tff(86,plain,
% 2.73/2.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.73/2.93 inference(transitivity,[status(thm)],[85, 83])).
% 2.73/2.93 tff(87,plain,
% 2.73/2.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(88,plain,
% 2.73/2.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[87, 86])).
% 2.73/2.93 tff(89,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[88, 82, 72, 70, 71])).
% 2.73/2.93 tff(90,plain,((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(91,plain,
% 2.73/2.93 (~r(s(z), s(s(s(s(z)))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[90, 70, 69])).
% 2.73/2.93 tff(92,plain,
% 2.73/2.93 ((s(s(s(s(z)))) = s(z)) <=> (s(z) = s(s(s(s(z)))))),
% 2.73/2.93 inference(commutativity,[status(thm)],[])).
% 2.73/2.93 tff(93,plain,
% 2.73/2.93 ((~(s(s(s(s(z)))) = s(z))) <=> (~(s(z) = s(s(s(s(z))))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[92])).
% 2.73/2.93 tff(94,assumption,(s(s(s(s(z)))) = s(z)), introduced(assumption)).
% 2.73/2.93 tff(95,plain,
% 2.73/2.93 (inj_0(s(s(s(s(z))))) = inj_0(s(z))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[94])).
% 2.73/2.93 tff(96,plain,
% 2.73/2.93 (s(s(s(z))) = z),
% 2.73/2.93 inference(transitivity,[status(thm)],[45, 95, 48])).
% 2.73/2.93 tff(97,plain,
% 2.73/2.93 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(z))) = z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(98,plain,
% 2.73/2.93 (~(s(s(s(z))) = z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[97, 9])).
% 2.73/2.93 tff(99,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[98, 96])).
% 2.73/2.93 tff(100,plain,(~(s(s(s(s(z)))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(101,plain,
% 2.73/2.93 (~(s(z) = s(s(s(s(z)))))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[100, 93])).
% 2.73/2.93 tff(102,plain,
% 2.73/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z))))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(103,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z))))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(104,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z)))))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[103, 102])).
% 2.73/2.93 tff(105,plain,
% 2.73/2.93 ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z)))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[104, 21])).
% 2.73/2.93 tff(106,plain,
% 2.73/2.93 (b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z)))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[105, 101])).
% 2.73/2.93 tff(107,plain,
% 2.73/2.93 (b(s(z), s(s(s(s(z)))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[106, 91])).
% 2.73/2.93 tff(108,assumption,(r(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 2.73/2.93 tff(109,plain,
% 2.73/2.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(110,plain,
% 2.73/2.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(111,plain,
% 2.73/2.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[110, 109])).
% 2.73/2.93 tff(112,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[111, 82, 70, 108, 71])).
% 2.73/2.93 tff(113,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(114,plain,
% 2.73/2.93 (~r(s(s(s(s(z)))), s(z))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[113, 70, 69])).
% 2.73/2.93 tff(115,plain,
% 2.73/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z)))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(116,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z)))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(117,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[116, 115])).
% 2.73/2.93 tff(118,plain,
% 2.73/2.93 ((s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[117, 21])).
% 2.73/2.93 tff(119,plain,
% 2.73/2.93 (b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[118, 100])).
% 2.73/2.93 tff(120,plain,
% 2.73/2.93 (b(s(s(s(s(z)))), s(z))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[119, 114])).
% 2.73/2.93 tff(121,assumption,(~r(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.73/2.93 tff(122,plain,
% 2.73/2.93 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(z)))) = z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(123,plain,
% 2.73/2.93 (~(s(s(s(s(z)))) = z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[122, 9])).
% 2.73/2.93 tff(124,plain,
% 2.73/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(125,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(126,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z)),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[125, 124])).
% 2.73/2.93 tff(127,plain,
% 2.73/2.93 (b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[126, 21, 123])).
% 2.73/2.93 tff(128,plain,
% 2.73/2.93 (b(s(s(s(s(z)))), z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[127, 121])).
% 2.73/2.93 tff(129,assumption,(~b(s(s(s(z))), z)), introduced(assumption)).
% 2.73/2.93 tff(130,assumption,(~r(s(s(s(z))), z)), introduced(assumption)).
% 2.73/2.93 tff(131,plain,
% 2.73/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = z) | b(s(s(s(z))), z) | r(s(s(s(z))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = z) | b(s(s(s(z))), z) | r(s(s(s(z))), z))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(132,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = z) | b(s(s(s(z))), z) | r(s(s(s(z))), z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(133,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = z) | b(s(s(s(z))), z) | r(s(s(s(z))), z)),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[132, 131])).
% 2.73/2.93 tff(134,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[133, 21, 98, 129, 130])).
% 2.73/2.93 tff(135,plain,(b(s(s(s(z))), z) | r(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(136,plain,
% 2.73/2.93 (r(s(s(s(z))), z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[135, 129])).
% 2.73/2.93 tff(137,assumption,(~(elem!1 = s(s(elem!1)))), introduced(assumption)).
% 2.73/2.93 tff(138,assumption,(~b(z, s(s(s(z))))), introduced(assumption)).
% 2.73/2.93 tff(139,plain,
% 2.73/2.93 ((s(s(s(s(z)))) = elem!1) <=> (elem!1 = s(s(s(s(z)))))),
% 2.73/2.93 inference(commutativity,[status(thm)],[])).
% 2.73/2.93 tff(140,assumption,(~b(z, s(s(elem!1)))), introduced(assumption)).
% 2.73/2.93 tff(141,plain,
% 2.73/2.93 ((z = s(s(s(z)))) <=> (s(s(s(z))) = z)),
% 2.73/2.93 inference(commutativity,[status(thm)],[])).
% 2.73/2.93 tff(142,plain,
% 2.73/2.93 ((s(s(s(z))) = z) <=> (z = s(s(s(z))))),
% 2.73/2.93 inference(symmetry,[status(thm)],[141])).
% 2.73/2.93 tff(143,plain,
% 2.73/2.93 ((~(s(s(s(z))) = z)) <=> (~(z = s(s(s(z)))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[142])).
% 2.73/2.93 tff(144,plain,
% 2.73/2.93 (~(z = s(s(s(z))))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[98, 143])).
% 2.73/2.93 tff(145,plain,
% 2.73/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(z)))) | b(z, s(s(s(z)))) | r(z, s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(z)))) | b(z, s(s(s(z)))) | r(z, s(s(s(z)))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(146,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(z)))) | b(z, s(s(s(z)))) | r(z, s(s(s(z)))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(147,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(z)))) | b(z, s(s(s(z)))) | r(z, s(s(s(z))))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[146, 145])).
% 2.73/2.93 tff(148,plain,
% 2.73/2.93 ((z = s(s(s(z)))) | b(z, s(s(s(z)))) | r(z, s(s(s(z))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[147, 21])).
% 2.73/2.93 tff(149,plain,
% 2.73/2.93 (b(z, s(s(s(z)))) | r(z, s(s(s(z))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[148, 144])).
% 2.73/2.93 tff(150,plain,
% 2.73/2.93 (r(z, s(s(s(z))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[149, 138])).
% 2.73/2.93 tff(151,plain,
% 2.73/2.93 ((z = s(s(elem!1))) <=> (s(s(elem!1)) = z)),
% 2.73/2.93 inference(commutativity,[status(thm)],[])).
% 2.73/2.93 tff(152,plain,
% 2.73/2.93 ((s(s(elem!1)) = z) <=> (z = s(s(elem!1)))),
% 2.73/2.93 inference(symmetry,[status(thm)],[151])).
% 2.73/2.93 tff(153,plain,
% 2.73/2.93 ((~(s(s(elem!1)) = z)) <=> (~(z = s(s(elem!1))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[152])).
% 2.73/2.93 tff(154,plain,
% 2.73/2.93 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(elem!1)) = z))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(155,plain,
% 2.73/2.93 (~(s(s(elem!1)) = z)),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[154, 9])).
% 2.73/2.93 tff(156,plain,
% 2.73/2.93 (~(z = s(s(elem!1)))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[155, 153])).
% 2.73/2.93 tff(157,plain,
% 2.73/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(elem!1))) | b(z, s(s(elem!1))) | r(z, s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(elem!1))) | b(z, s(s(elem!1))) | r(z, s(s(elem!1))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(158,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(elem!1))) | b(z, s(s(elem!1))) | r(z, s(s(elem!1))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(159,plain,
% 2.73/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(elem!1))) | b(z, s(s(elem!1))) | r(z, s(s(elem!1)))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[158, 157])).
% 2.73/2.93 tff(160,plain,
% 2.73/2.93 ((z = s(s(elem!1))) | b(z, s(s(elem!1))) | r(z, s(s(elem!1)))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[159, 21])).
% 2.73/2.93 tff(161,plain,
% 2.73/2.93 (b(z, s(s(elem!1))) | r(z, s(s(elem!1)))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[160, 156])).
% 2.73/2.93 tff(162,plain,
% 2.73/2.93 (r(z, s(s(elem!1)))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[161, 140])).
% 2.73/2.93 tff(163,assumption,(r(s(s(s(z))), s(s(elem!1)))), introduced(assumption)).
% 2.73/2.93 tff(164,assumption,(r(z, s(s(s(z))))), introduced(assumption)).
% 2.73/2.93 tff(165,assumption,(r(z, s(s(elem!1)))), introduced(assumption)).
% 2.73/2.93 tff(166,plain,
% 2.73/2.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(167,plain,
% 2.73/2.93 (((~r(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(168,plain,
% 2.73/2.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1))))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[167])).
% 2.73/2.93 tff(169,plain,
% 2.73/2.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 2.73/2.93 inference(transitivity,[status(thm)],[168, 166])).
% 2.73/2.93 tff(170,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(171,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1))))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[170, 169])).
% 2.73/2.94 tff(172,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[171, 82, 165, 164, 163])).
% 2.73/2.94 tff(173,plain,((~r(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(174,plain,
% 2.73/2.94 (~r(s(s(s(z))), s(s(elem!1)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[173, 162, 150])).
% 2.73/2.94 tff(175,assumption,(b(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.73/2.94 tff(176,assumption,(~r(s(z), elem!1)), introduced(assumption)).
% 2.73/2.94 tff(177,assumption,(~b(z, elem!1)), introduced(assumption)).
% 2.73/2.94 tff(178,assumption,(s(s(elem!1)) = s(s(s(s(z))))), introduced(assumption)).
% 2.73/2.94 tff(179,plain,
% 2.73/2.94 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[178])).
% 2.73/2.94 tff(180,plain,
% 2.73/2.94 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(elem!1))) = s(elem!1))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(181,plain,
% 2.73/2.94 (inj_0(s(s(elem!1))) = s(elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[180, 38])).
% 2.73/2.94 tff(182,plain,
% 2.73/2.94 (s(elem!1) = inj_0(s(s(elem!1)))),
% 2.73/2.94 inference(symmetry,[status(thm)],[181])).
% 2.73/2.94 tff(183,plain,
% 2.73/2.94 (s(elem!1) = s(s(s(z)))),
% 2.73/2.94 inference(transitivity,[status(thm)],[182, 179, 44])).
% 2.73/2.94 tff(184,plain,
% 2.73/2.94 (r(z, s(elem!1)) <=> r(z, s(s(s(z))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[183])).
% 2.73/2.94 tff(185,plain,
% 2.73/2.94 (r(z, s(s(s(z)))) <=> r(z, s(elem!1))),
% 2.73/2.94 inference(symmetry,[status(thm)],[184])).
% 2.73/2.94 tff(186,plain,
% 2.73/2.94 (r(z, s(elem!1))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[164, 185])).
% 2.73/2.94 tff(187,assumption,(~r(z, s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(188,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[187, 186])).
% 2.73/2.94 tff(189,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | r(z, s(elem!1)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(190,plain,
% 2.73/2.94 (r(z, s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[189, 178, 164])).
% 2.73/2.94 tff(191,plain,
% 2.73/2.94 ((elem!1 = s(s(elem!1))) <=> (s(s(elem!1)) = elem!1)),
% 2.73/2.94 inference(commutativity,[status(thm)],[])).
% 2.73/2.94 tff(192,plain,
% 2.73/2.94 ((s(s(elem!1)) = elem!1) <=> (elem!1 = s(s(elem!1)))),
% 2.73/2.94 inference(symmetry,[status(thm)],[191])).
% 2.73/2.94 tff(193,assumption,(s(s(elem!1)) = elem!1), introduced(assumption)).
% 2.73/2.94 tff(194,plain,
% 2.73/2.94 (elem!1 = s(s(elem!1))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[193, 192])).
% 2.73/2.94 tff(195,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[137, 194])).
% 2.73/2.94 tff(196,plain,((~(s(s(elem!1)) = elem!1)) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(197,plain,
% 2.73/2.94 (~(s(s(elem!1)) = elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[196, 137])).
% 2.73/2.94 tff(198,plain,
% 2.73/2.94 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(elem!1)) = elem!1)),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(199,plain,
% 2.73/2.94 (inj_0(s(elem!1)) = elem!1),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[198, 38])).
% 2.73/2.94 tff(200,assumption,(s(elem!1) = s(s(s(elem!1)))), introduced(assumption)).
% 2.73/2.94 tff(201,plain,
% 2.73/2.94 (inj_0(s(elem!1)) = inj_0(s(s(s(elem!1))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[200])).
% 2.73/2.94 tff(202,plain,
% 2.73/2.94 (inj_0(s(s(s(elem!1)))) = inj_0(s(elem!1))),
% 2.73/2.94 inference(symmetry,[status(thm)],[201])).
% 2.73/2.94 tff(203,plain,
% 2.73/2.94 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(elem!1)))) = s(s(elem!1)))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(204,plain,
% 2.73/2.94 (inj_0(s(s(s(elem!1)))) = s(s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[203, 38])).
% 2.73/2.94 tff(205,plain,
% 2.73/2.94 (s(s(elem!1)) = inj_0(s(s(s(elem!1))))),
% 2.73/2.94 inference(symmetry,[status(thm)],[204])).
% 2.73/2.94 tff(206,plain,
% 2.73/2.94 (s(s(elem!1)) = elem!1),
% 2.73/2.94 inference(transitivity,[status(thm)],[205, 202, 199])).
% 2.73/2.94 tff(207,assumption,(~(s(s(elem!1)) = elem!1)), introduced(assumption)).
% 2.73/2.94 tff(208,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[207, 206])).
% 2.73/2.94 tff(209,plain,((~(s(elem!1) = s(s(s(elem!1))))) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(210,plain,
% 2.73/2.94 (~(s(elem!1) = s(s(s(elem!1))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[209, 197])).
% 2.73/2.94 tff(211,plain,
% 2.73/2.94 ((s(elem!1) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(elem!1))),
% 2.73/2.94 inference(commutativity,[status(thm)],[])).
% 2.73/2.94 tff(212,plain,
% 2.73/2.94 ((s(s(s(elem!1))) = s(elem!1)) <=> (s(elem!1) = s(s(s(elem!1))))),
% 2.73/2.94 inference(symmetry,[status(thm)],[211])).
% 2.73/2.94 tff(213,assumption,(s(s(s(elem!1))) = s(elem!1)), introduced(assumption)).
% 2.73/2.94 tff(214,plain,
% 2.73/2.94 (s(elem!1) = s(s(s(elem!1)))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[213, 212])).
% 2.73/2.94 tff(215,assumption,(~(s(elem!1) = s(s(s(elem!1))))), introduced(assumption)).
% 2.73/2.94 tff(216,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[215, 214])).
% 2.73/2.94 tff(217,plain,((~(s(s(s(elem!1))) = s(elem!1))) | (s(elem!1) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(218,plain,
% 2.73/2.94 (~(s(s(s(elem!1))) = s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[217, 210])).
% 2.73/2.94 tff(219,assumption,(s(s(elem!1)) = s(elem!1)), introduced(assumption)).
% 2.73/2.94 tff(220,plain,
% 2.73/2.94 (s(s(s(elem!1))) = s(s(elem!1))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[219])).
% 2.73/2.94 tff(221,plain,
% 2.73/2.94 (s(s(s(elem!1))) = s(elem!1)),
% 2.73/2.94 inference(transitivity,[status(thm)],[220, 219])).
% 2.73/2.94 tff(222,assumption,(~(s(s(s(elem!1))) = s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(223,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[222, 221])).
% 2.73/2.94 tff(224,plain,((~(s(s(elem!1)) = s(elem!1))) | (s(s(s(elem!1))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(225,plain,
% 2.73/2.94 (~(s(s(elem!1)) = s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[224, 218])).
% 2.73/2.94 tff(226,assumption,(elem!1 = s(elem!1)), introduced(assumption)).
% 2.73/2.94 tff(227,plain,
% 2.73/2.94 (s(elem!1) = elem!1),
% 2.73/2.94 inference(symmetry,[status(thm)],[226])).
% 2.73/2.94 tff(228,plain,
% 2.73/2.94 (s(s(elem!1)) = s(elem!1)),
% 2.73/2.94 inference(monotonicity,[status(thm)],[227])).
% 2.73/2.94 tff(229,assumption,(~(s(s(elem!1)) = s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(230,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[229, 228])).
% 2.73/2.94 tff(231,plain,((~(elem!1 = s(elem!1))) | (s(s(elem!1)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(232,plain,
% 2.73/2.94 (~(elem!1 = s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[231, 225])).
% 2.73/2.94 tff(233,assumption,(r(z, s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(234,assumption,(r(z, elem!1)), introduced(assumption)).
% 2.73/2.94 tff(235,assumption,(r(elem!1, s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(236,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(elem!1, s(elem!1))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(237,plain,
% 2.73/2.94 (((~r(elem!1, s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, elem!1))) <=> ((~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(elem!1, s(elem!1))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(238,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(elem!1, s(elem!1)))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[237])).
% 2.73/2.94 tff(239,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(elem!1, s(elem!1))))),
% 2.73/2.94 inference(transitivity,[status(thm)],[238, 236])).
% 2.73/2.94 tff(240,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, elem!1)))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(241,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(elem!1, s(elem!1)))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[240, 239])).
% 2.73/2.94 tff(242,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[241, 82, 234, 233, 235])).
% 2.73/2.94 tff(243,plain,((~r(z, s(elem!1))) | (~r(z, elem!1)) | (~r(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(244,plain,
% 2.73/2.94 (~r(elem!1, s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[243, 234, 233])).
% 2.73/2.94 tff(245,assumption,(~b(elem!1, s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(246,assumption,(~(elem!1 = s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(247,assumption,(~r(elem!1, s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(248,plain,
% 2.73/2.94 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(elem!1)) | b(elem!1, s(elem!1)) | r(elem!1, s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(elem!1)) | b(elem!1, s(elem!1)) | r(elem!1, s(elem!1)))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(249,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(elem!1)) | b(elem!1, s(elem!1)) | r(elem!1, s(elem!1)))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(250,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(elem!1)) | b(elem!1, s(elem!1)) | r(elem!1, s(elem!1))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[249, 248])).
% 2.73/2.94 tff(251,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[250, 21, 247, 246, 245])).
% 2.73/2.94 tff(252,plain,(r(elem!1, s(elem!1)) | (elem!1 = s(elem!1)) | b(elem!1, s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(253,plain,
% 2.73/2.94 (b(elem!1, s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[252, 244, 232])).
% 2.73/2.94 tff(254,assumption,(r(s(s(elem!1)), elem!1)), introduced(assumption)).
% 2.73/2.94 tff(255,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(256,plain,
% 2.73/2.94 (((~r(s(s(elem!1)), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(elem!1))))) <=> ((~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(257,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1))))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[256])).
% 2.73/2.94 tff(258,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(transitivity,[status(thm)],[257, 255])).
% 2.73/2.94 tff(259,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(260,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1))))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[259, 258])).
% 2.73/2.94 tff(261,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[260, 82, 234, 254, 165])).
% 2.73/2.94 tff(262,plain,((~r(s(s(elem!1)), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(263,plain,
% 2.73/2.94 (~r(s(s(elem!1)), elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[262, 234, 165])).
% 2.73/2.94 tff(264,assumption,(r(s(s(elem!1)), s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(265,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(266,plain,
% 2.73/2.94 (((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(elem!1))))) <=> ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(267,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1))))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[266])).
% 2.73/2.94 tff(268,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(transitivity,[status(thm)],[267, 265])).
% 2.73/2.94 tff(269,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(270,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1))))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[269, 268])).
% 2.73/2.94 tff(271,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[270, 82, 233, 165, 264])).
% 2.73/2.94 tff(272,plain,((~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(273,plain,
% 2.73/2.94 (~r(s(s(elem!1)), s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[272, 233, 165])).
% 2.73/2.94 tff(274,plain,
% 2.73/2.94 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(elem!1)) | b(s(s(elem!1)), s(elem!1)) | r(s(s(elem!1)), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(elem!1)) | b(s(s(elem!1)), s(elem!1)) | r(s(s(elem!1)), s(elem!1)))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(275,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(elem!1)) | b(s(s(elem!1)), s(elem!1)) | r(s(s(elem!1)), s(elem!1)))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(276,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(elem!1)) | b(s(s(elem!1)), s(elem!1)) | r(s(s(elem!1)), s(elem!1))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[275, 274])).
% 2.73/2.94 tff(277,plain,
% 2.73/2.94 ((s(s(elem!1)) = s(elem!1)) | b(s(s(elem!1)), s(elem!1)) | r(s(s(elem!1)), s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[276, 21])).
% 2.73/2.94 tff(278,plain,
% 2.73/2.94 (b(s(s(elem!1)), s(elem!1))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[277, 273, 225])).
% 2.73/2.94 tff(279,assumption,(r(elem!1, s(s(elem!1)))), introduced(assumption)).
% 2.73/2.94 tff(280,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(281,plain,
% 2.73/2.94 (((~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1))) <=> ((~r(z, elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(282,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1))))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[281])).
% 2.73/2.94 tff(283,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/2.94 inference(transitivity,[status(thm)],[282, 280])).
% 2.73/2.94 tff(284,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(285,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1))))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[284, 283])).
% 2.73/2.94 tff(286,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[285, 82, 234, 279, 165])).
% 2.73/2.94 tff(287,plain,((~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~r(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(288,plain,
% 2.73/2.94 (~r(elem!1, s(s(elem!1)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[287, 234, 165])).
% 2.73/2.94 tff(289,assumption,(s(elem!1) = elem!1), introduced(assumption)).
% 2.73/2.94 tff(290,plain,
% 2.73/2.94 (s(s(elem!1)) = s(elem!1)),
% 2.73/2.94 inference(monotonicity,[status(thm)],[289])).
% 2.73/2.94 tff(291,plain,
% 2.73/2.94 (s(s(elem!1)) = elem!1),
% 2.73/2.94 inference(transitivity,[status(thm)],[290, 289])).
% 2.73/2.94 tff(292,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[207, 291])).
% 2.73/2.94 tff(293,plain,((~(s(elem!1) = elem!1)) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(294,plain,
% 2.73/2.94 (~(s(elem!1) = elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[293, 197])).
% 2.73/2.94 tff(295,assumption,(r(s(elem!1), elem!1)), introduced(assumption)).
% 2.73/2.94 tff(296,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(s(elem!1), elem!1)))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(297,plain,
% 2.73/2.94 (((~r(s(elem!1), elem!1)) | (~r(z, elem!1)) | (~r(z, s(elem!1)))) <=> ((~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(s(elem!1), elem!1)))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(298,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(z, elem!1)) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(s(elem!1), elem!1))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[297])).
% 2.73/2.94 tff(299,plain,
% 2.73/2.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(z, elem!1)) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(s(elem!1), elem!1)))),
% 2.73/2.94 inference(transitivity,[status(thm)],[298, 296])).
% 2.73/2.94 tff(300,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(z, elem!1)) | (~r(z, s(elem!1))))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(301,plain,
% 2.73/2.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(elem!1))) | (~r(s(elem!1), elem!1))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[300, 299])).
% 2.73/2.94 tff(302,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[301, 82, 234, 233, 295])).
% 2.73/2.94 tff(303,plain,((~r(s(elem!1), elem!1)) | (~r(z, elem!1)) | (~r(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(304,plain,
% 2.73/2.94 (~r(s(elem!1), elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[303, 234, 233])).
% 2.73/2.94 tff(305,assumption,(~b(s(elem!1), elem!1)), introduced(assumption)).
% 2.73/2.94 tff(306,assumption,(~(s(elem!1) = elem!1)), introduced(assumption)).
% 2.73/2.94 tff(307,assumption,(~r(s(elem!1), elem!1)), introduced(assumption)).
% 2.73/2.94 tff(308,plain,
% 2.73/2.94 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = elem!1) | b(s(elem!1), elem!1) | r(s(elem!1), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = elem!1) | b(s(elem!1), elem!1) | r(s(elem!1), elem!1))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(309,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = elem!1) | b(s(elem!1), elem!1) | r(s(elem!1), elem!1))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(310,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = elem!1) | b(s(elem!1), elem!1) | r(s(elem!1), elem!1)),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[309, 308])).
% 2.73/2.94 tff(311,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[310, 21, 307, 306, 305])).
% 2.73/2.94 tff(312,plain,(r(s(elem!1), elem!1) | (s(elem!1) = elem!1) | b(s(elem!1), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(313,plain,
% 2.73/2.94 (b(s(elem!1), elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[312, 304, 294])).
% 2.73/2.94 tff(314,assumption,(b(s(elem!1), elem!1)), introduced(assumption)).
% 2.73/2.94 tff(315,assumption,(b(elem!1, s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(316,assumption,(b(s(s(elem!1)), s(elem!1))), introduced(assumption)).
% 2.73/2.94 tff(317,assumption,(~r(elem!1, s(s(elem!1)))), introduced(assumption)).
% 2.73/2.94 tff(318,plain,
% 2.73/2.94 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(elem!1))) | b(elem!1, s(s(elem!1))) | r(elem!1, s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(elem!1))) | b(elem!1, s(s(elem!1))) | r(elem!1, s(s(elem!1))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(319,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(elem!1))) | b(elem!1, s(s(elem!1))) | r(elem!1, s(s(elem!1))))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(320,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(elem!1))) | b(elem!1, s(s(elem!1))) | r(elem!1, s(s(elem!1)))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[319, 318])).
% 2.73/2.94 tff(321,plain,
% 2.73/2.94 ((elem!1 = s(s(elem!1))) | b(elem!1, s(s(elem!1))) | r(elem!1, s(s(elem!1)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[320, 21])).
% 2.73/2.94 tff(322,plain,
% 2.73/2.94 (b(elem!1, s(s(elem!1)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[321, 137, 317])).
% 2.73/2.94 tff(323,assumption,(~r(s(s(elem!1)), elem!1)), introduced(assumption)).
% 2.73/2.94 tff(324,plain,
% 2.73/2.94 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = elem!1) | b(s(s(elem!1)), elem!1) | r(s(s(elem!1)), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = elem!1) | b(s(s(elem!1)), elem!1) | r(s(s(elem!1)), elem!1))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(325,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = elem!1) | b(s(s(elem!1)), elem!1) | r(s(s(elem!1)), elem!1))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(326,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = elem!1) | b(s(s(elem!1)), elem!1) | r(s(s(elem!1)), elem!1)),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[325, 324])).
% 2.73/2.94 tff(327,plain,
% 2.73/2.94 ((s(s(elem!1)) = elem!1) | b(s(s(elem!1)), elem!1) | r(s(s(elem!1)), elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[326, 21])).
% 2.73/2.94 tff(328,plain,
% 2.73/2.94 (b(s(s(elem!1)), elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[327, 197, 323])).
% 2.73/2.94 tff(329,plain,
% 2.73/2.94 (^[X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) <=> ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))))),
% 2.73/2.94 inference(bind,[status(th)],[])).
% 2.73/2.94 tff(330,plain,
% 2.73/2.94 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.73/2.94 inference(quant_intro,[status(thm)],[329])).
% 2.73/2.94 tff(331,plain,
% 2.73/2.94 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(332,plain,
% 2.73/2.94 (^[X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) <=> ((~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))), (((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) <=> (((~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X2, X3))))), rewrite((((~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X2, X3))) <=> ((~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))), (((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) <=> ((~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))))), ((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X2, X4))) <=> (((~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X2, X4))))), rewrite((((~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X2, X4))) <=> ((~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))), ((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X2, X4))) <=> ((~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))))), (((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X2, X4))) | (~b(X3, X4))) <=> (((~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X3, X4))))), rewrite((((~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X3, X4))) <=> ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))), (((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X2, X4))) | (~b(X3, X4))) <=> ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))))),
% 2.73/2.94 inference(bind,[status(th)],[])).
% 2.73/2.94 tff(333,plain,
% 2.73/2.94 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X2, X4))) | (~b(X3, X4))) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.73/2.94 inference(quant_intro,[status(thm)],[332])).
% 2.73/2.94 tff(334,axiom,(![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X2, X4))) | (~b(X3, X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axb')).
% 2.73/2.94 tff(335,plain,
% 2.73/2.94 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[334, 333])).
% 2.73/2.94 tff(336,plain,
% 2.73/2.94 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[335, 331])).
% 2.73/2.94 tff(337,plain,(
% 2.73/2.94 ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.73/2.94 inference(skolemize,[status(sab)],[336])).
% 2.73/2.94 tff(338,plain,
% 2.73/2.94 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[337, 330])).
% 2.73/2.94 tff(339,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(340,plain,
% 2.73/2.94 (((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1)))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(341,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[340])).
% 2.73/2.94 tff(342,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 2.73/2.94 inference(transitivity,[status(thm)],[341, 339])).
% 2.73/2.94 tff(343,plain,
% 2.73/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(344,plain,
% 2.73/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[343, 342])).
% 2.73/2.94 tff(345,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[344, 338, 328, 322, 316, 315, 314])).
% 2.73/2.94 tff(346,plain,((elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(347,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[346, 313, 288, 278, 137, 263, 253])).
% 2.73/2.94 tff(348,plain,((~r(z, elem!1)) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(349,plain,
% 2.73/2.94 (~r(z, elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[348, 190, 165, 137])).
% 2.73/2.94 tff(350,plain,
% 2.73/2.94 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = elem!1) | b(z, elem!1) | r(z, elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = elem!1) | b(z, elem!1) | r(z, elem!1))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(351,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = elem!1) | b(z, elem!1) | r(z, elem!1))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(352,plain,
% 2.73/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = elem!1) | b(z, elem!1) | r(z, elem!1)),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[351, 350])).
% 2.73/2.94 tff(353,plain,
% 2.73/2.94 ((z = elem!1) | b(z, elem!1) | r(z, elem!1)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[352, 21])).
% 2.73/2.94 tff(354,plain,
% 2.73/2.94 (z = elem!1),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[353, 349, 177])).
% 2.73/2.94 tff(355,plain,
% 2.73/2.94 (s(z) = s(elem!1)),
% 2.73/2.95 inference(monotonicity,[status(thm)],[354])).
% 2.73/2.95 tff(356,plain,
% 2.73/2.95 (s(elem!1) = s(z)),
% 2.73/2.95 inference(symmetry,[status(thm)],[355])).
% 2.73/2.95 tff(357,plain,
% 2.73/2.95 (inj_0(s(s(s(s(z))))) = inj_0(s(s(elem!1)))),
% 2.73/2.95 inference(symmetry,[status(thm)],[179])).
% 2.73/2.95 tff(358,plain,
% 2.73/2.95 (s(s(s(z))) = s(z)),
% 2.73/2.95 inference(transitivity,[status(thm)],[45, 357, 181, 356])).
% 2.73/2.95 tff(359,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[58, 358])).
% 2.73/2.95 tff(360,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | b(z, elem!1) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(361,plain,
% 2.73/2.95 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[360, 177, 162, 137, 150])).
% 2.73/2.95 tff(362,assumption,(~r(s(s(elem!1)), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.95 tff(363,assumption,(~(s(s(elem!1)) = s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.95 tff(364,plain,
% 2.73/2.95 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | r(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | r(s(s(elem!1)), s(s(s(s(z))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(365,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | r(s(s(elem!1)), s(s(s(s(z))))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(366,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[365, 364])).
% 2.73/2.95 tff(367,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[366, 21, 62, 363, 362])).
% 2.73/2.95 tff(368,plain,(r(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (s(s(elem!1)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(369,plain,
% 2.73/2.95 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[368, 361, 62])).
% 2.73/2.95 tff(370,assumption,(r(s(s(elem!1)), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.95 tff(371,assumption,(r(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.95 tff(372,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(373,plain,
% 2.73/2.95 (((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1))))) <=> ((~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(374,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[373])).
% 2.73/2.95 tff(375,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.95 inference(transitivity,[status(thm)],[374, 372])).
% 2.73/2.95 tff(376,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(377,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[376, 375])).
% 2.73/2.95 tff(378,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[377, 82, 165, 371, 370])).
% 2.73/2.95 tff(379,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(380,plain,
% 2.73/2.95 (~r(z, s(s(s(s(z)))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[379, 369, 162])).
% 2.73/2.95 tff(381,assumption,(z = s(s(s(s(z))))), introduced(assumption)).
% 2.73/2.95 tff(382,plain,
% 2.73/2.95 (s(s(s(s(z)))) = z),
% 2.73/2.95 inference(symmetry,[status(thm)],[381])).
% 2.73/2.95 tff(383,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[123, 382])).
% 2.73/2.95 tff(384,plain,(~(z = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(385,assumption,(~r(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.95 tff(386,assumption,(~b(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.95 tff(387,plain,
% 2.73/2.95 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(388,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z))))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(389,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[388, 387])).
% 2.73/2.95 tff(390,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[389, 21, 386, 385, 384])).
% 2.73/2.95 tff(391,plain,(b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(392,plain,
% 2.73/2.95 (b(z, s(s(s(s(z)))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[391, 380])).
% 2.73/2.95 tff(393,assumption,(~r(z, s(z))), introduced(assumption)).
% 2.73/2.95 tff(394,assumption,(z = s(z)), introduced(assumption)).
% 2.73/2.95 tff(395,plain,
% 2.73/2.95 (s(z) = z),
% 2.73/2.95 inference(symmetry,[status(thm)],[394])).
% 2.73/2.95 tff(396,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[11, 395])).
% 2.73/2.95 tff(397,plain,(~(z = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(398,assumption,(~b(z, s(z))), introduced(assumption)).
% 2.73/2.95 tff(399,plain,
% 2.73/2.95 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(z)) | b(z, s(z)) | r(z, s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(z)) | b(z, s(z)) | r(z, s(z)))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(400,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(z)) | b(z, s(z)) | r(z, s(z)))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(401,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(z)) | b(z, s(z)) | r(z, s(z))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[400, 399])).
% 2.73/2.95 tff(402,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[401, 21, 398, 393, 397])).
% 2.73/2.95 tff(403,plain,(r(z, s(z)) | b(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(404,plain,
% 2.73/2.95 (b(z, s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[403, 393])).
% 2.73/2.95 tff(405,assumption,(r(s(z), z)), introduced(assumption)).
% 2.73/2.95 tff(406,assumption,(r(s(z), s(s(s(z))))), introduced(assumption)).
% 2.73/2.95 tff(407,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(408,plain,
% 2.73/2.95 (((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z))) <=> ((~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(409,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[408])).
% 2.73/2.95 tff(410,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.73/2.95 inference(transitivity,[status(thm)],[409, 407])).
% 2.73/2.95 tff(411,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(412,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[411, 410])).
% 2.73/2.95 tff(413,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[412, 82, 406, 405, 164])).
% 2.73/2.95 tff(414,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(415,plain,
% 2.73/2.95 (~r(s(z), s(s(s(z))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[414, 27, 150])).
% 2.73/2.95 tff(416,plain,
% 2.73/2.95 ((s(z) = s(s(s(z)))) <=> (s(s(s(z))) = s(z))),
% 2.73/2.95 inference(commutativity,[status(thm)],[])).
% 2.73/2.95 tff(417,plain,
% 2.73/2.95 ((s(s(s(z))) = s(z)) <=> (s(z) = s(s(s(z))))),
% 2.73/2.95 inference(symmetry,[status(thm)],[416])).
% 2.73/2.95 tff(418,plain,
% 2.73/2.95 ((~(s(s(s(z))) = s(z))) <=> (~(s(z) = s(s(s(z)))))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[417])).
% 2.73/2.95 tff(419,plain,
% 2.73/2.95 (~(s(z) = s(s(s(z))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[58, 418])).
% 2.73/2.95 tff(420,plain,
% 2.73/2.95 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z)))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(421,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z)))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(422,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[421, 420])).
% 2.73/2.95 tff(423,plain,
% 2.73/2.95 ((s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[422, 21])).
% 2.73/2.95 tff(424,plain,
% 2.73/2.95 (b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[423, 419])).
% 2.73/2.95 tff(425,plain,
% 2.73/2.95 (b(s(z), s(s(s(z))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[424, 415])).
% 2.73/2.95 tff(426,assumption,(r(s(s(s(z))), z)), introduced(assumption)).
% 2.73/2.95 tff(427,assumption,(r(s(s(s(z))), s(z))), introduced(assumption)).
% 2.73/2.95 tff(428,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(429,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(430,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[429, 428])).
% 2.73/2.95 tff(431,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[430, 82, 405, 427, 426])).
% 2.73/2.95 tff(432,plain,((~r(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(433,plain,
% 2.73/2.95 (~r(s(s(s(z))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[432, 27, 136])).
% 2.73/2.95 tff(434,plain,
% 2.73/2.95 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z)))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(435,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z)))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(436,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[435, 434])).
% 2.73/2.95 tff(437,plain,
% 2.73/2.95 (b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[436, 21, 58])).
% 2.73/2.95 tff(438,plain,
% 2.73/2.95 (b(s(s(s(z))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[437, 433])).
% 2.73/2.95 tff(439,plain,
% 2.73/2.95 (~r(s(z), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[113, 71, 108])).
% 2.73/2.95 tff(440,plain,
% 2.73/2.95 ((s(s(z)) = s(z)) <=> (s(z) = s(s(z)))),
% 2.73/2.95 inference(commutativity,[status(thm)],[])).
% 2.73/2.95 tff(441,plain,
% 2.73/2.95 ((~(s(s(z)) = s(z))) <=> (~(s(z) = s(s(z))))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[440])).
% 2.73/2.95 tff(442,assumption,(s(s(z)) = s(z)), introduced(assumption)).
% 2.73/2.95 tff(443,plain,
% 2.73/2.95 (s(z) = s(s(z))),
% 2.73/2.95 inference(symmetry,[status(thm)],[442])).
% 2.73/2.95 tff(444,plain,
% 2.73/2.95 (inj_0(s(z)) = inj_0(s(s(z)))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[443])).
% 2.73/2.95 tff(445,plain,
% 2.73/2.95 (inj_0(s(s(z))) = inj_0(s(z))),
% 2.73/2.95 inference(symmetry,[status(thm)],[444])).
% 2.73/2.95 tff(446,plain,
% 2.73/2.95 (s(z) = inj_0(s(s(z)))),
% 2.73/2.95 inference(symmetry,[status(thm)],[40])).
% 2.73/2.95 tff(447,plain,
% 2.73/2.95 (s(z) = z),
% 2.73/2.95 inference(transitivity,[status(thm)],[446, 445, 48])).
% 2.73/2.95 tff(448,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[11, 447])).
% 2.73/2.95 tff(449,plain,(~(s(s(z)) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(450,plain,
% 2.73/2.95 (~(s(z) = s(s(z)))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[449, 441])).
% 2.73/2.95 tff(451,plain,
% 2.73/2.95 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(z))) | b(s(z), s(s(z))) | r(s(z), s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(z))) | b(s(z), s(s(z))) | r(s(z), s(s(z))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(452,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(z))) | b(s(z), s(s(z))) | r(s(z), s(s(z))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(453,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(z))) | b(s(z), s(s(z))) | r(s(z), s(s(z)))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[452, 451])).
% 2.73/2.95 tff(454,plain,
% 2.73/2.95 ((s(z) = s(s(z))) | b(s(z), s(s(z))) | r(s(z), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[453, 21])).
% 2.73/2.95 tff(455,plain,
% 2.73/2.95 (b(s(z), s(s(z))) | r(s(z), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[454, 450])).
% 2.73/2.95 tff(456,plain,
% 2.73/2.95 (b(s(z), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[455, 439])).
% 2.73/2.95 tff(457,assumption,(b(s(z), s(s(s(z))))), introduced(assumption)).
% 2.73/2.95 tff(458,assumption,(b(s(s(s(z))), s(z))), introduced(assumption)).
% 2.73/2.95 tff(459,assumption,(r(s(s(z)), s(z))), introduced(assumption)).
% 2.73/2.95 tff(460,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(461,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(462,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[461, 460])).
% 2.73/2.95 tff(463,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[462, 82, 108, 71, 459])).
% 2.73/2.95 tff(464,plain,((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(465,plain,
% 2.73/2.95 (~r(s(s(z)), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[464, 71, 108])).
% 2.73/2.95 tff(466,assumption,(~r(s(s(z)), s(z))), introduced(assumption)).
% 2.73/2.95 tff(467,assumption,(~b(s(s(z)), s(z))), introduced(assumption)).
% 2.73/2.95 tff(468,plain,
% 2.73/2.95 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(z)) | b(s(s(z)), s(z)) | r(s(s(z)), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(z)) | b(s(s(z)), s(z)) | r(s(s(z)), s(z)))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(469,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(z)) | b(s(s(z)), s(z)) | r(s(s(z)), s(z)))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(470,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(z)) | b(s(s(z)), s(z)) | r(s(s(z)), s(z))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[469, 468])).
% 2.73/2.95 tff(471,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[470, 21, 467, 449, 466])).
% 2.73/2.95 tff(472,plain,(r(s(s(z)), s(z)) | b(s(s(z)), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(473,plain,
% 2.73/2.95 (b(s(s(z)), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[472, 465])).
% 2.73/2.95 tff(474,assumption,(b(s(z), s(s(z)))), introduced(assumption)).
% 2.73/2.95 tff(475,assumption,(b(s(s(z)), s(z))), introduced(assumption)).
% 2.73/2.95 tff(476,assumption,(b(s(s(z)), s(s(s(z))))), introduced(assumption)).
% 2.73/2.95 tff(477,plain,
% 2.73/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(478,plain,
% 2.73/2.95 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(479,plain,
% 2.73/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[478])).
% 2.73/2.95 tff(480,plain,
% 2.73/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.95 inference(transitivity,[status(thm)],[479, 477])).
% 2.73/2.95 tff(481,plain,
% 2.73/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(482,plain,
% 2.73/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[481, 480])).
% 2.73/2.95 tff(483,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[482, 338, 476, 457, 475, 458, 474])).
% 2.73/2.95 tff(484,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(485,plain,
% 2.73/2.95 (~b(s(s(z)), s(s(s(z))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[484, 473, 458, 457, 456])).
% 2.73/2.95 tff(486,assumption,(b(z, s(z))), introduced(assumption)).
% 2.73/2.95 tff(487,assumption,(r(s(s(z)), s(s(s(z))))), introduced(assumption)).
% 2.73/2.95 tff(488,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(489,plain,
% 2.73/2.95 (((~r(z, s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), z))) <=> ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(490,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[489])).
% 2.73/2.95 tff(491,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.73/2.95 inference(transitivity,[status(thm)],[490, 488])).
% 2.73/2.95 tff(492,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), z)))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(493,plain,
% 2.73/2.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[492, 491])).
% 2.73/2.95 tff(494,plain,
% 2.73/2.95 (~r(s(s(z)), z)),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[493, 82, 487, 164])).
% 2.73/2.95 tff(495,plain,
% 2.73/2.95 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = z) | b(s(s(z)), z) | r(s(s(z)), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = z) | b(s(s(z)), z) | r(s(s(z)), z))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(496,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = z) | b(s(s(z)), z) | r(s(s(z)), z))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(497,plain,
% 2.73/2.95 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = z) | b(s(s(z)), z) | r(s(s(z)), z)),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[496, 495])).
% 2.73/2.95 tff(498,plain,
% 2.73/2.95 (b(s(s(z)), z)),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[497, 21, 56, 494])).
% 2.73/2.95 tff(499,assumption,(z = s(s(z))), introduced(assumption)).
% 2.73/2.95 tff(500,plain,
% 2.73/2.95 (s(s(z)) = z),
% 2.73/2.95 inference(symmetry,[status(thm)],[499])).
% 2.73/2.95 tff(501,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[56, 500])).
% 2.73/2.95 tff(502,plain,(~(z = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(503,plain,
% 2.73/2.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(z))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(504,plain,
% 2.73/2.95 (((~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(z))))) <=> ((~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(z))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(505,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(z)))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[504])).
% 2.73/2.96 tff(506,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(z))))))),
% 2.73/2.96 inference(transitivity,[status(thm)],[505, 503])).
% 2.73/2.96 tff(507,plain,
% 2.73/2.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(z)))))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(508,plain,
% 2.73/2.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(z)))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[507, 506])).
% 2.73/2.96 tff(509,plain,
% 2.73/2.96 (~r(z, s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[508, 82, 487, 164])).
% 2.73/2.96 tff(510,plain,
% 2.73/2.96 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(z))) | b(z, s(s(z))) | r(z, s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(z))) | b(z, s(s(z))) | r(z, s(s(z))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(511,plain,
% 2.73/2.96 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(z))) | b(z, s(s(z))) | r(z, s(s(z))))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(512,plain,
% 2.73/2.96 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(z))) | b(z, s(s(z))) | r(z, s(s(z)))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[511, 510])).
% 2.73/2.96 tff(513,plain,
% 2.73/2.96 (b(z, s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[512, 21, 509, 502])).
% 2.73/2.96 tff(514,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(515,plain,
% 2.73/2.96 (((~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(516,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[515])).
% 2.73/2.96 tff(517,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.96 inference(transitivity,[status(thm)],[516, 514])).
% 2.73/2.96 tff(518,plain,
% 2.73/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(519,plain,
% 2.73/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[518, 517])).
% 2.73/2.96 tff(520,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[519, 338, 486, 513, 475, 498, 474])).
% 2.73/2.96 tff(521,plain,((~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(522,plain,
% 2.73/2.96 (~r(s(s(z)), s(s(s(z))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[521, 473, 164, 486, 456])).
% 2.73/2.96 tff(523,assumption,(s(s(z)) = s(s(s(z)))), introduced(assumption)).
% 2.73/2.96 tff(524,plain,
% 2.73/2.96 (inj_0(s(s(z))) = inj_0(s(s(s(z))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[523])).
% 2.73/2.96 tff(525,plain,
% 2.73/2.96 (inj_0(s(s(s(z)))) = inj_0(s(s(z)))),
% 2.73/2.96 inference(symmetry,[status(thm)],[524])).
% 2.73/2.96 tff(526,plain,
% 2.73/2.96 (s(s(s(z))) = s(s(z))),
% 2.73/2.96 inference(symmetry,[status(thm)],[523])).
% 2.73/2.96 tff(527,plain,
% 2.73/2.96 (s(s(s(z))) = s(z)),
% 2.73/2.96 inference(transitivity,[status(thm)],[526, 53, 525, 40])).
% 2.73/2.96 tff(528,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[58, 527])).
% 2.73/2.96 tff(529,plain,(~(s(s(z)) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(530,plain,
% 2.73/2.96 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(s(z)))) | b(s(s(z)), s(s(s(z)))) | r(s(s(z)), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(z)))) | b(s(s(z)), s(s(s(z)))) | r(s(s(z)), s(s(s(z)))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(531,plain,
% 2.73/2.96 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(s(z)))) | b(s(s(z)), s(s(s(z)))) | r(s(s(z)), s(s(s(z)))))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(532,plain,
% 2.73/2.96 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(z)))) | b(s(s(z)), s(s(s(z)))) | r(s(s(z)), s(s(s(z))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[531, 530])).
% 2.73/2.96 tff(533,plain,
% 2.73/2.96 ((s(s(z)) = s(s(s(z)))) | b(s(s(z)), s(s(s(z)))) | r(s(s(z)), s(s(s(z))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[532, 21])).
% 2.73/2.96 tff(534,plain,
% 2.73/2.96 (b(s(s(z)), s(s(s(z)))) | r(s(s(z)), s(s(s(z))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[533, 529])).
% 2.73/2.96 tff(535,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[534, 522, 485])).
% 2.73/2.96 tff(536,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(537,plain,
% 2.73/2.96 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[536, 404, 150, 438, 425, 108])).
% 2.73/2.96 tff(538,plain,
% 2.73/2.96 (b(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[68, 537])).
% 2.73/2.96 tff(539,assumption,(b(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.96 tff(540,assumption,(b(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 2.73/2.96 tff(541,plain,
% 2.73/2.96 (~r(s(s(s(z))), s(z))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[432, 405, 426])).
% 2.73/2.96 tff(542,plain,
% 2.73/2.96 (b(s(s(s(z))), s(z))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[437, 541])).
% 2.73/2.96 tff(543,plain,
% 2.73/2.96 (~r(s(z), s(s(s(z))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[414, 405, 164])).
% 2.73/2.96 tff(544,plain,
% 2.73/2.96 (b(s(z), s(s(s(z))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[424, 543])).
% 2.73/2.96 tff(545,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(546,plain,
% 2.73/2.96 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))) <=> ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(547,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[546])).
% 2.73/2.96 tff(548,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.96 inference(transitivity,[status(thm)],[547, 545])).
% 2.73/2.96 tff(549,plain,
% 2.73/2.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(550,plain,
% 2.73/2.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[549, 548])).
% 2.73/2.96 tff(551,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[550, 82, 405, 72, 371])).
% 2.73/2.96 tff(552,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(553,plain,
% 2.73/2.96 (~r(z, s(s(s(s(z)))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[552, 72, 405])).
% 2.73/2.96 tff(554,plain,
% 2.73/2.96 (b(z, s(s(s(s(z)))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[391, 553])).
% 2.73/2.96 tff(555,assumption,(b(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.96 tff(556,assumption,(r(z, s(s(z)))), introduced(assumption)).
% 2.73/2.96 tff(557,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[508, 82, 487, 164, 556])).
% 2.73/2.96 tff(558,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(559,plain,
% 2.73/2.96 (~r(z, s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[558, 487, 164])).
% 2.73/2.96 tff(560,assumption,(~r(z, s(s(z)))), introduced(assumption)).
% 2.73/2.96 tff(561,assumption,(~b(z, s(s(z)))), introduced(assumption)).
% 2.73/2.96 tff(562,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[512, 21, 561, 560, 502])).
% 2.73/2.96 tff(563,plain,(r(z, s(s(z))) | b(z, s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(564,plain,
% 2.73/2.96 (b(z, s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[563, 559])).
% 2.73/2.96 tff(565,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(566,plain,
% 2.73/2.96 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(567,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[566])).
% 2.73/2.96 tff(568,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.96 inference(transitivity,[status(thm)],[567, 565])).
% 2.73/2.96 tff(569,plain,
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% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(570,plain,
% 2.73/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[569, 568])).
% 2.73/2.96 tff(571,plain,
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% 2.73/2.96 inference(unit_resolution,[status(thm)],[570, 338, 564, 498, 540, 175, 555])).
% 2.73/2.96 tff(572,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(573,plain,
% 2.73/2.96 (~r(s(s(z)), s(s(s(z))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[572, 554, 175, 540, 164])).
% 2.73/2.96 tff(574,plain,
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% 2.73/2.96 inference(unit_resolution,[status(thm)],[534, 573])).
% 2.73/2.96 tff(575,assumption,(r(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
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% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(577,plain,
% 2.73/2.96 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(578,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[577])).
% 2.73/2.96 tff(579,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(transitivity,[status(thm)],[578, 576])).
% 2.73/2.96 tff(580,plain,
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% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(581,plain,
% 2.73/2.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[580, 579])).
% 2.73/2.96 tff(582,plain,
% 2.73/2.96 (~r(s(s(z)), s(z))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[581, 82, 72, 575])).
% 2.73/2.96 tff(583,plain,
% 2.73/2.96 (b(s(s(z)), s(z))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[472, 582])).
% 2.73/2.96 tff(584,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(585,plain,
% 2.73/2.96 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))) <=> ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(586,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[585])).
% 2.73/2.96 tff(587,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(transitivity,[status(thm)],[586, 584])).
% 2.73/2.96 tff(588,plain,
% 2.73/2.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(589,plain,
% 2.73/2.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[588, 587])).
% 2.73/2.96 tff(590,plain,
% 2.73/2.96 (~r(s(z), s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[589, 82, 72, 575])).
% 2.73/2.96 tff(591,plain,
% 2.73/2.96 (b(s(z), s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[455, 590])).
% 2.73/2.96 tff(592,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[484, 591, 583, 458, 457, 476])).
% 2.73/2.96 tff(593,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(594,plain,
% 2.73/2.96 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[593, 574, 544, 542, 72])).
% 2.73/2.96 tff(595,plain,
% 2.73/2.96 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(s(s(z))))) | b(s(s(z)), s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(s(z))))) | b(s(s(z)), s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(596,plain,
% 2.73/2.96 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(s(s(z))))) | b(s(s(z)), s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(597,plain,
% 2.73/2.96 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(s(z))))) | b(s(s(z)), s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[596, 595])).
% 2.73/2.96 tff(598,plain,
% 2.73/2.96 ((s(s(z)) = s(s(s(s(z))))) | b(s(s(z)), s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[597, 21])).
% 2.73/2.96 tff(599,plain,
% 2.73/2.96 (b(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[598, 594, 61])).
% 2.73/2.96 tff(600,assumption,(b(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.96 tff(601,assumption,(b(z, s(s(z)))), introduced(assumption)).
% 2.73/2.96 tff(602,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(603,plain,
% 2.73/2.96 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(604,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[603])).
% 2.73/2.96 tff(605,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.96 inference(transitivity,[status(thm)],[604, 602])).
% 2.73/2.96 tff(606,plain,
% 2.73/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(607,plain,
% 2.73/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[606, 605])).
% 2.73/2.96 tff(608,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[607, 338, 476, 601, 539, 540, 600, 555])).
% 2.73/2.96 tff(609,plain,((~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(610,plain,
% 2.73/2.96 (~b(z, s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[609, 599, 539, 554, 574, 540])).
% 2.73/2.96 tff(611,plain,
% 2.73/2.96 (r(z, s(s(z)))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[563, 610])).
% 2.73/2.96 tff(612,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(613,plain,
% 2.73/2.96 (((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z))) <=> ((~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(614,plain,
% 2.73/2.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[613])).
% 2.73/2.97 tff(615,plain,
% 2.73/2.97 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[614, 612])).
% 2.73/2.97 tff(616,plain,
% 2.73/2.97 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(617,plain,
% 2.73/2.97 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[616, 615])).
% 2.73/2.97 tff(618,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[617, 82, 405, 70, 556])).
% 2.73/2.97 tff(619,plain,((~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(620,plain,
% 2.73/2.97 (~r(s(z), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[619, 611, 405])).
% 2.73/2.97 tff(621,plain,
% 2.73/2.97 (b(s(z), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[455, 620])).
% 2.73/2.97 tff(622,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(623,plain,
% 2.73/2.97 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(624,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[623])).
% 2.73/2.97 tff(625,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[624, 622])).
% 2.73/2.97 tff(626,plain,
% 2.73/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(627,plain,
% 2.73/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[626, 625])).
% 2.73/2.97 tff(628,plain,
% 2.73/2.97 (~b(s(s(s(z))), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[627, 338, 574, 544, 621, 539, 599])).
% 2.73/2.97 tff(629,assumption,(~r(s(s(s(z))), s(s(z)))), introduced(assumption)).
% 2.73/2.97 tff(630,assumption,(s(s(s(z))) = s(s(z))), introduced(assumption)).
% 2.73/2.97 tff(631,plain,
% 2.73/2.97 (s(s(z)) = s(s(s(z)))),
% 2.73/2.97 inference(symmetry,[status(thm)],[630])).
% 2.73/2.97 tff(632,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[529, 631])).
% 2.73/2.97 tff(633,plain,(~(s(s(s(z))) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(634,assumption,(~b(s(s(s(z))), s(s(z)))), introduced(assumption)).
% 2.73/2.97 tff(635,plain,
% 2.73/2.97 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(z))) | b(s(s(s(z))), s(s(z))) | r(s(s(s(z))), s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(z))) | b(s(s(s(z))), s(s(z))) | r(s(s(s(z))), s(s(z))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(636,plain,
% 2.73/2.97 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(z))) | b(s(s(s(z))), s(s(z))) | r(s(s(s(z))), s(s(z))))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(637,plain,
% 2.73/2.97 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(z))) | b(s(s(s(z))), s(s(z))) | r(s(s(s(z))), s(s(z)))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[636, 635])).
% 2.73/2.97 tff(638,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[637, 21, 634, 633, 629])).
% 2.73/2.97 tff(639,plain,(b(s(s(s(z))), s(s(z))) | r(s(s(s(z))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(640,plain,
% 2.73/2.97 (r(s(s(s(z))), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[639, 628])).
% 2.73/2.97 tff(641,plain,
% 2.73/2.97 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z)))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(642,plain,
% 2.73/2.97 (((~r(z, s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z)))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(643,plain,
% 2.73/2.97 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[642])).
% 2.73/2.97 tff(644,plain,
% 2.73/2.97 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z)))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[643, 641])).
% 2.73/2.97 tff(645,plain,
% 2.73/2.97 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), z)))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(646,plain,
% 2.73/2.97 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[645, 644])).
% 2.73/2.97 tff(647,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[646, 82, 426, 611, 640])).
% 2.73/2.97 tff(648,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(649,plain,
% 2.73/2.97 (~r(s(z), s(s(s(s(z)))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[648, 539, 426, 405, 540, 175, 164])).
% 2.73/2.97 tff(650,plain,
% 2.73/2.97 (b(s(z), s(s(s(s(z)))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[106, 649])).
% 2.73/2.97 tff(651,assumption,(b(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.97 tff(652,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(653,plain,
% 2.73/2.97 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(654,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[653])).
% 2.73/2.97 tff(655,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[654, 652])).
% 2.73/2.97 tff(656,plain,
% 2.73/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(657,plain,
% 2.73/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[656, 655])).
% 2.73/2.97 tff(658,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[657, 338, 601, 458, 651, 539, 540, 175])).
% 2.73/2.97 tff(659,plain,((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(660,plain,
% 2.73/2.97 (~b(z, s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[659, 650, 542, 539, 540, 175])).
% 2.73/2.97 tff(661,plain,
% 2.73/2.97 (r(z, s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[563, 660])).
% 2.73/2.97 tff(662,plain,
% 2.73/2.97 (~r(s(z), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[619, 661, 405])).
% 2.73/2.97 tff(663,plain,
% 2.73/2.97 (b(s(z), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[455, 662])).
% 2.73/2.97 tff(664,plain,
% 2.73/2.97 (~r(s(s(z)), s(s(s(z))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[558, 661, 164])).
% 2.73/2.97 tff(665,plain,
% 2.73/2.97 (b(s(s(z)), s(s(s(z))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[534, 664])).
% 2.73/2.97 tff(666,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(667,plain,
% 2.73/2.97 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(668,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[667])).
% 2.73/2.97 tff(669,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[668, 666])).
% 2.73/2.97 tff(670,plain,
% 2.73/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(671,plain,
% 2.73/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[670, 669])).
% 2.73/2.97 tff(672,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[671, 338, 665, 544, 542, 650, 663, 539])).
% 2.73/2.97 tff(673,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(674,plain,
% 2.73/2.97 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[673, 538, 150, 27, 175, 136])).
% 2.73/2.97 tff(675,plain,
% 2.73/2.97 ((s(s(s(z))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(z))))),
% 2.73/2.97 inference(commutativity,[status(thm)],[])).
% 2.73/2.97 tff(676,plain,
% 2.73/2.97 ((s(s(s(s(z)))) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(s(s(z)))))),
% 2.73/2.97 inference(symmetry,[status(thm)],[675])).
% 2.73/2.97 tff(677,plain,
% 2.73/2.97 ((~(s(s(s(s(z)))) = s(s(s(z))))) <=> (~(s(s(s(z))) = s(s(s(s(z))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[676])).
% 2.73/2.97 tff(678,assumption,(s(s(s(s(z)))) = s(s(s(z)))), introduced(assumption)).
% 2.73/2.97 tff(679,plain,
% 2.73/2.97 (s(s(s(z))) = s(s(s(s(z))))),
% 2.73/2.97 inference(symmetry,[status(thm)],[678])).
% 2.73/2.97 tff(680,plain,
% 2.73/2.97 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(z)))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[679])).
% 2.73/2.97 tff(681,plain,
% 2.73/2.97 (s(s(z)) = s(s(s(z)))),
% 2.73/2.97 inference(transitivity,[status(thm)],[53, 680, 44])).
% 2.73/2.97 tff(682,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[529, 681])).
% 2.73/2.97 tff(683,plain,(~(s(s(s(s(z)))) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(684,plain,
% 2.73/2.97 (~(s(s(s(z))) = s(s(s(s(z)))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[683, 677])).
% 2.73/2.97 tff(685,plain,
% 2.73/2.97 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z))))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(686,plain,
% 2.73/2.97 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z))))))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(687,plain,
% 2.73/2.97 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z)))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[686, 685])).
% 2.73/2.97 tff(688,plain,
% 2.73/2.97 ((s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z)))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[687, 21])).
% 2.73/2.97 tff(689,plain,
% 2.73/2.97 (b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z)))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[688, 684])).
% 2.73/2.97 tff(690,plain,
% 2.73/2.97 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[689, 674])).
% 2.73/2.97 tff(691,assumption,(~(s(z) = elem!1)), introduced(assumption)).
% 2.73/2.97 tff(692,plain,
% 2.73/2.97 ((elem!1 = s(z)) <=> (s(z) = elem!1)),
% 2.73/2.97 inference(commutativity,[status(thm)],[])).
% 2.73/2.97 tff(693,assumption,(elem!1 = s(z)), introduced(assumption)).
% 2.73/2.97 tff(694,plain,
% 2.73/2.97 (s(z) = elem!1),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[693, 692])).
% 2.73/2.97 tff(695,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[691, 694])).
% 2.73/2.97 tff(696,plain,((~(elem!1 = s(z))) | (s(z) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(697,plain,
% 2.73/2.97 (~(elem!1 = s(z))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[696, 691])).
% 2.73/2.97 tff(698,plain,
% 2.73/2.97 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = elem!1) | b(s(z), elem!1) | r(s(z), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = elem!1) | b(s(z), elem!1) | r(s(z), elem!1))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(699,plain,
% 2.73/2.97 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = elem!1) | b(s(z), elem!1) | r(s(z), elem!1))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(700,plain,
% 2.73/2.97 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = elem!1) | b(s(z), elem!1) | r(s(z), elem!1)),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[699, 698])).
% 2.73/2.97 tff(701,plain,
% 2.73/2.97 ((s(z) = elem!1) | b(s(z), elem!1) | r(s(z), elem!1)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[700, 21])).
% 2.73/2.97 tff(702,plain,
% 2.73/2.97 (b(s(z), elem!1)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[701, 691, 176])).
% 2.73/2.97 tff(703,assumption,(z = elem!1), introduced(assumption)).
% 2.73/2.97 tff(704,plain,
% 2.73/2.97 (b(s(z), z) <=> b(s(z), elem!1)),
% 2.73/2.97 inference(monotonicity,[status(thm)],[703])).
% 2.73/2.97 tff(705,plain,
% 2.73/2.97 (b(s(z), elem!1) <=> b(s(z), z)),
% 2.73/2.97 inference(symmetry,[status(thm)],[704])).
% 2.73/2.97 tff(706,assumption,(b(s(z), elem!1)), introduced(assumption)).
% 2.73/2.97 tff(707,plain,
% 2.73/2.97 (b(s(z), z)),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[706, 705])).
% 2.73/2.97 tff(708,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[1, 707])).
% 2.73/2.97 tff(709,plain,((~(z = elem!1)) | b(s(z), z) | (~b(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(710,plain,
% 2.73/2.97 (~(z = elem!1)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[709, 702, 1])).
% 2.73/2.97 tff(711,plain,
% 2.73/2.97 ((elem!1 = z) <=> (z = elem!1)),
% 2.73/2.97 inference(commutativity,[status(thm)],[])).
% 2.73/2.97 tff(712,assumption,(elem!1 = z), introduced(assumption)).
% 2.73/2.97 tff(713,plain,
% 2.73/2.97 (z = elem!1),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[712, 711])).
% 2.73/2.97 tff(714,assumption,(~(z = elem!1)), introduced(assumption)).
% 2.73/2.97 tff(715,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[714, 713])).
% 2.73/2.97 tff(716,plain,((~(elem!1 = z)) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(717,plain,
% 2.73/2.97 (~(elem!1 = z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[716, 710])).
% 2.73/2.97 tff(718,plain,
% 2.73/2.97 (r(z, elem!1)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[353, 710, 177])).
% 2.73/2.97 tff(719,assumption,(~(elem!1 = z)), introduced(assumption)).
% 2.73/2.97 tff(720,assumption,(~(elem!1 = s(z))), introduced(assumption)).
% 2.73/2.97 tff(721,assumption,(r(s(z), s(s(elem!1)))), introduced(assumption)).
% 2.73/2.97 tff(722,plain,
% 2.73/2.97 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(723,plain,
% 2.73/2.97 (((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z))) <=> ((~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(724,plain,
% 2.73/2.97 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[723])).
% 2.73/2.97 tff(725,plain,
% 2.73/2.97 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[724, 722])).
% 2.73/2.97 tff(726,plain,
% 2.73/2.97 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z)))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(727,plain,
% 2.73/2.97 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[726, 725])).
% 2.73/2.97 tff(728,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[727, 82, 165, 721, 405])).
% 2.73/2.97 tff(729,plain,((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(730,plain,
% 2.73/2.97 (~r(s(z), s(s(elem!1)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[729, 405, 165])).
% 2.73/2.97 tff(731,assumption,(s(z) = s(s(elem!1))), introduced(assumption)).
% 2.73/2.97 tff(732,plain,
% 2.73/2.97 (inj_0(s(z)) = inj_0(s(s(elem!1)))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[731])).
% 2.73/2.97 tff(733,plain,
% 2.73/2.97 (inj_0(s(s(elem!1))) = inj_0(s(z))),
% 2.73/2.97 inference(symmetry,[status(thm)],[732])).
% 2.73/2.97 tff(734,plain,
% 2.73/2.97 (s(elem!1) = z),
% 2.73/2.97 inference(transitivity,[status(thm)],[182, 733, 48])).
% 2.73/2.97 tff(735,plain,
% 2.73/2.97 ((~![X: $i] : (~(s(X) = z))) | (~(s(elem!1) = z))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(736,plain,
% 2.73/2.97 (~(s(elem!1) = z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[735, 9])).
% 2.73/2.97 tff(737,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[736, 734])).
% 2.73/2.97 tff(738,plain,(~(s(z) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(739,plain,
% 2.73/2.97 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(elem!1))) | b(s(z), s(s(elem!1))) | r(s(z), s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(elem!1))) | b(s(z), s(s(elem!1))) | r(s(z), s(s(elem!1))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(740,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(elem!1))) | b(s(z), s(s(elem!1))) | r(s(z), s(s(elem!1))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(741,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(elem!1))) | b(s(z), s(s(elem!1))) | r(s(z), s(s(elem!1)))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[740, 739])).
% 2.73/2.98 tff(742,plain,
% 2.73/2.98 ((s(z) = s(s(elem!1))) | b(s(z), s(s(elem!1))) | r(s(z), s(s(elem!1)))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[741, 21])).
% 2.73/2.98 tff(743,plain,
% 2.73/2.98 (b(s(z), s(s(elem!1))) | r(s(z), s(s(elem!1)))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[742, 738])).
% 2.73/2.98 tff(744,plain,
% 2.73/2.98 (b(s(z), s(s(elem!1)))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[743, 730])).
% 2.73/2.98 tff(745,plain,
% 2.73/2.98 (b(s(s(elem!1)), elem!1)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[327, 263, 197])).
% 2.73/2.98 tff(746,plain,
% 2.73/2.98 (b(elem!1, s(s(elem!1)))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[321, 288, 137])).
% 2.73/2.98 tff(747,assumption,(b(s(z), s(s(elem!1)))), introduced(assumption)).
% 2.73/2.98 tff(748,plain,
% 2.73/2.98 ((s(z) = elem!1) <=> (elem!1 = s(z))),
% 2.73/2.98 inference(symmetry,[status(thm)],[692])).
% 2.73/2.98 tff(749,assumption,(s(z) = elem!1), introduced(assumption)).
% 2.73/2.98 tff(750,plain,
% 2.73/2.98 (elem!1 = s(z)),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[749, 748])).
% 2.73/2.98 tff(751,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[720, 750])).
% 2.73/2.98 tff(752,plain,((~(s(z) = elem!1)) | (elem!1 = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(753,plain,
% 2.73/2.98 (~(s(z) = elem!1)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[752, 720])).
% 2.73/2.98 tff(754,assumption,(r(s(z), elem!1)), introduced(assumption)).
% 2.73/2.98 tff(755,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), z)))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(756,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), z)))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(757,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), z))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[756, 755])).
% 2.73/2.98 tff(758,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[757, 82, 234, 754, 405])).
% 2.73/2.98 tff(759,plain,((~r(s(z), elem!1)) | (~r(z, elem!1)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(760,plain,
% 2.73/2.98 (~r(s(z), elem!1)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[759, 405, 234])).
% 2.73/2.98 tff(761,plain,
% 2.73/2.98 (b(s(z), elem!1)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[701, 760, 753])).
% 2.73/2.98 tff(762,assumption,(b(elem!1, s(s(elem!1)))), introduced(assumption)).
% 2.73/2.98 tff(763,assumption,(b(s(s(elem!1)), elem!1)), introduced(assumption)).
% 2.73/2.98 tff(764,assumption,(b(s(s(elem!1)), s(z))), introduced(assumption)).
% 2.73/2.98 tff(765,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(766,plain,
% 2.73/2.98 (((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(767,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[766])).
% 2.73/2.98 tff(768,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(transitivity,[status(thm)],[767, 765])).
% 2.73/2.98 tff(769,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(770,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[769, 768])).
% 2.73/2.98 tff(771,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[770, 338, 763, 762, 706, 747, 764])).
% 2.73/2.98 tff(772,plain,((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(773,plain,
% 2.73/2.98 (~b(s(s(elem!1)), s(z))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[772, 761, 747, 763, 762])).
% 2.73/2.98 tff(774,assumption,(s(s(elem!1)) = s(z)), introduced(assumption)).
% 2.73/2.98 tff(775,plain,
% 2.73/2.98 (s(z) = s(s(elem!1))),
% 2.73/2.98 inference(symmetry,[status(thm)],[774])).
% 2.73/2.98 tff(776,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[738, 775])).
% 2.73/2.98 tff(777,plain,(~(s(s(elem!1)) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(778,assumption,(~b(s(s(elem!1)), s(z))), introduced(assumption)).
% 2.73/2.98 tff(779,assumption,(~r(s(s(elem!1)), s(z))), introduced(assumption)).
% 2.73/2.98 tff(780,plain,
% 2.73/2.98 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(z)) | b(s(s(elem!1)), s(z)) | r(s(s(elem!1)), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(z)) | b(s(s(elem!1)), s(z)) | r(s(s(elem!1)), s(z)))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(781,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(z)) | b(s(s(elem!1)), s(z)) | r(s(s(elem!1)), s(z)))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(782,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(z)) | b(s(s(elem!1)), s(z)) | r(s(s(elem!1)), s(z))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[781, 780])).
% 2.73/2.98 tff(783,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[782, 21, 779, 778, 777])).
% 2.73/2.98 tff(784,plain,(b(s(s(elem!1)), s(z)) | r(s(s(elem!1)), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(785,plain,
% 2.73/2.98 (r(s(s(elem!1)), s(z))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[784, 773])).
% 2.73/2.98 tff(786,assumption,(r(s(s(elem!1)), s(z))), introduced(assumption)).
% 2.73/2.98 tff(787,assumption,(r(s(s(elem!1)), z)), introduced(assumption)).
% 2.73/2.98 tff(788,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(789,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(790,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z)))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[789, 788])).
% 2.73/2.98 tff(791,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[790, 82, 787, 405, 786])).
% 2.73/2.98 tff(792,plain,((~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(793,plain,
% 2.73/2.98 (~r(s(s(elem!1)), z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[792, 785, 405])).
% 2.73/2.98 tff(794,assumption,(~r(s(s(elem!1)), z)), introduced(assumption)).
% 2.73/2.98 tff(795,assumption,(~b(s(s(elem!1)), z)), introduced(assumption)).
% 2.73/2.98 tff(796,plain,
% 2.73/2.98 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = z) | b(s(s(elem!1)), z) | r(s(s(elem!1)), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = z) | b(s(s(elem!1)), z) | r(s(s(elem!1)), z))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(797,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = z) | b(s(s(elem!1)), z) | r(s(s(elem!1)), z))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(798,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = z) | b(s(s(elem!1)), z) | r(s(s(elem!1)), z)),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[797, 796])).
% 2.73/2.98 tff(799,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[798, 21, 155, 795, 794])).
% 2.73/2.98 tff(800,plain,(b(s(s(elem!1)), z) | r(s(s(elem!1)), z)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(801,plain,
% 2.73/2.98 (b(s(s(elem!1)), z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[800, 793])).
% 2.73/2.98 tff(802,assumption,(r(elem!1, z)), introduced(assumption)).
% 2.73/2.98 tff(803,assumption,(r(elem!1, s(z))), introduced(assumption)).
% 2.73/2.98 tff(804,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(z), z)) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(z), z)) | (~r(elem!1, s(z))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(805,plain,
% 2.73/2.98 (((~r(s(z), z)) | (~r(elem!1, z)) | (~r(elem!1, s(z)))) <=> ((~r(elem!1, z)) | (~r(s(z), z)) | (~r(elem!1, s(z))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(806,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(elem!1, z)) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(z), z)) | (~r(elem!1, s(z)))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[805])).
% 2.73/2.98 tff(807,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(elem!1, z)) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(z), z)) | (~r(elem!1, s(z))))),
% 2.73/2.98 inference(transitivity,[status(thm)],[806, 804])).
% 2.73/2.98 tff(808,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(elem!1, z)) | (~r(elem!1, s(z))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(809,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(z), z)) | (~r(elem!1, s(z)))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[808, 807])).
% 2.73/2.98 tff(810,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[809, 82, 802, 405, 803])).
% 2.73/2.98 tff(811,plain,((~r(elem!1, z)) | (~r(s(z), z)) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(812,plain,
% 2.73/2.98 (~r(elem!1, s(z))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[811, 802, 405])).
% 2.73/2.98 tff(813,assumption,(~r(elem!1, s(z))), introduced(assumption)).
% 2.73/2.98 tff(814,assumption,(~b(elem!1, s(z))), introduced(assumption)).
% 2.73/2.98 tff(815,plain,
% 2.73/2.98 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(z)) | b(elem!1, s(z)) | r(elem!1, s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(z)) | b(elem!1, s(z)) | r(elem!1, s(z)))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(816,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(z)) | b(elem!1, s(z)) | r(elem!1, s(z)))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(817,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(z)) | b(elem!1, s(z)) | r(elem!1, s(z))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[816, 815])).
% 2.73/2.98 tff(818,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[817, 21, 814, 720, 813])).
% 2.73/2.98 tff(819,plain,(b(elem!1, s(z)) | (elem!1 = s(z)) | r(elem!1, s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(820,plain,
% 2.73/2.98 (b(elem!1, s(z))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[819, 812, 720])).
% 2.73/2.98 tff(821,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(z), elem!1)) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(z), elem!1)) | (~r(s(z), z)))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(822,plain,
% 2.73/2.98 (((~r(elem!1, z)) | (~r(s(z), z)) | (~r(s(z), elem!1))) <=> ((~r(elem!1, z)) | (~r(s(z), elem!1)) | (~r(s(z), z)))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(823,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(z), z)) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(z), elem!1)) | (~r(s(z), z))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[822])).
% 2.73/2.98 tff(824,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(z), z)) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(z), elem!1)) | (~r(s(z), z)))),
% 2.73/2.98 inference(transitivity,[status(thm)],[823, 821])).
% 2.73/2.98 tff(825,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(z), z)) | (~r(s(z), elem!1)))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(826,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(z), elem!1)) | (~r(s(z), z))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[825, 824])).
% 2.73/2.98 tff(827,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[826, 82, 802, 754, 405])).
% 2.73/2.98 tff(828,plain,((~r(elem!1, z)) | (~r(s(z), elem!1)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(829,plain,
% 2.73/2.98 (~r(s(z), elem!1)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[828, 802, 405])).
% 2.73/2.98 tff(830,plain,
% 2.73/2.98 (b(s(z), elem!1)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[701, 829, 691])).
% 2.73/2.98 tff(831,assumption,(b(elem!1, s(z))), introduced(assumption)).
% 2.73/2.98 tff(832,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(833,plain,
% 2.73/2.98 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(834,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[833])).
% 2.73/2.98 tff(835,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(transitivity,[status(thm)],[834, 832])).
% 2.73/2.98 tff(836,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(837,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[836, 835])).
% 2.73/2.98 tff(838,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[837, 338, 763, 762, 706, 747, 831])).
% 2.73/2.98 tff(839,plain,((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(840,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[839, 830, 820, 762, 763, 747])).
% 2.73/2.98 tff(841,plain,((~r(elem!1, z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (elem!1 = s(z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(842,plain,
% 2.73/2.98 (~r(elem!1, z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[841, 405, 753, 763, 747, 762, 720])).
% 2.73/2.98 tff(843,plain,
% 2.73/2.98 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = z) | b(elem!1, z) | r(elem!1, z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = z) | b(elem!1, z) | r(elem!1, z))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(844,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = z) | b(elem!1, z) | r(elem!1, z))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(845,plain,
% 2.73/2.98 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = z) | b(elem!1, z) | r(elem!1, z)),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[844, 843])).
% 2.73/2.98 tff(846,plain,
% 2.73/2.98 ((elem!1 = z) | b(elem!1, z) | r(elem!1, z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[845, 21])).
% 2.73/2.98 tff(847,plain,
% 2.73/2.98 (b(elem!1, z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[846, 842, 719])).
% 2.73/2.98 tff(848,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(849,plain,
% 2.73/2.98 (((~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))) <=> ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(850,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[849])).
% 2.73/2.98 tff(851,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(transitivity,[status(thm)],[850, 848])).
% 2.73/2.98 tff(852,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(853,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[852, 851])).
% 2.73/2.98 tff(854,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[853, 338, 847, 763, 762, 801, 761, 747])).
% 2.73/2.98 tff(855,plain,((~r(s(z), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (elem!1 = z) | (elem!1 = s(z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(856,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[855, 746, 745, 744, 405, 720, 719, 234])).
% 2.73/2.98 tff(857,plain,((~r(z, elem!1)) | (~r(s(z), z)) | (elem!1 = s(z)) | (elem!1 = z) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(858,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[857, 718, 717, 27, 697, 137, 165])).
% 2.73/2.98 tff(859,plain,((s(z) = elem!1) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | b(z, elem!1) | b(s(z), z) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(860,plain,
% 2.73/2.98 (s(z) = elem!1),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[859, 177, 165, 137, 1, 176])).
% 2.73/2.98 tff(861,plain,
% 2.73/2.98 (r(s(z), z) <=> r(elem!1, z)),
% 2.73/2.98 inference(monotonicity,[status(thm)],[749])).
% 2.73/2.98 tff(862,plain,
% 2.73/2.98 (r(elem!1, z) <=> r(s(z), z)),
% 2.73/2.98 inference(symmetry,[status(thm)],[861])).
% 2.73/2.98 tff(863,plain,
% 2.73/2.98 ((~r(elem!1, z)) <=> (~r(s(z), z))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[862])).
% 2.73/2.98 tff(864,assumption,(~r(elem!1, z)), introduced(assumption)).
% 2.73/2.98 tff(865,plain,
% 2.73/2.98 (~r(s(z), z)),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[864, 863])).
% 2.73/2.98 tff(866,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[405, 865])).
% 2.73/2.98 tff(867,plain,((~(s(z) = elem!1)) | (~r(s(z), z)) | r(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(868,plain,
% 2.73/2.98 (r(elem!1, z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[867, 860, 27])).
% 2.73/2.98 tff(869,plain,
% 2.73/2.98 (s(s(z)) = s(elem!1)),
% 2.73/2.98 inference(monotonicity,[status(thm)],[749])).
% 2.73/2.98 tff(870,plain,
% 2.73/2.98 (s(s(s(z))) = s(s(elem!1))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[869])).
% 2.73/2.98 tff(871,assumption,(~(s(s(s(z))) = s(s(elem!1)))), introduced(assumption)).
% 2.73/2.98 tff(872,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[871, 870])).
% 2.73/2.98 tff(873,plain,((~(s(z) = elem!1)) | (s(s(s(z))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(874,plain,
% 2.73/2.98 (s(s(s(z))) = s(s(elem!1))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[873, 860])).
% 2.73/2.98 tff(875,assumption,(s(s(s(z))) = s(s(elem!1))), introduced(assumption)).
% 2.73/2.98 tff(876,plain,
% 2.73/2.98 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 2.73/2.98 inference(monotonicity,[status(thm)],[875])).
% 2.73/2.98 tff(877,plain,
% 2.73/2.98 (b(s(s(elem!1)), z) <=> b(s(s(s(z))), z)),
% 2.73/2.98 inference(symmetry,[status(thm)],[876])).
% 2.73/2.98 tff(878,assumption,(b(s(s(elem!1)), z)), introduced(assumption)).
% 2.73/2.98 tff(879,plain,
% 2.73/2.98 (b(s(s(s(z))), z)),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[878, 877])).
% 2.73/2.98 tff(880,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[129, 879])).
% 2.73/2.98 tff(881,plain,((~(s(s(s(z))) = s(s(elem!1)))) | b(s(s(s(z))), z) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(882,plain,
% 2.73/2.98 (~b(s(s(elem!1)), z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[881, 874, 129])).
% 2.73/2.98 tff(883,plain,
% 2.73/2.98 (r(s(s(elem!1)), z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[800, 882])).
% 2.73/2.98 tff(884,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z)))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(885,plain,
% 2.73/2.98 (((~r(elem!1, z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), elem!1))) <=> ((~r(elem!1, z)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z)))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(886,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[885])).
% 2.73/2.98 tff(887,plain,
% 2.73/2.98 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z)))),
% 2.73/2.98 inference(transitivity,[status(thm)],[886, 884])).
% 2.73/2.98 tff(888,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), elem!1)))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(889,plain,
% 2.73/2.98 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[888, 887])).
% 2.73/2.98 tff(890,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[889, 82, 802, 254, 787])).
% 2.73/2.98 tff(891,plain,((~r(s(s(elem!1)), z)) | (~r(elem!1, z)) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(892,plain,
% 2.73/2.98 (~r(s(s(elem!1)), elem!1)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[891, 883, 868])).
% 2.73/2.98 tff(893,plain,
% 2.73/2.98 (elem!1 = s(z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[752, 860])).
% 2.73/2.98 tff(894,plain,
% 2.73/2.98 (r(z, elem!1) <=> r(z, s(z))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[693])).
% 2.73/2.98 tff(895,plain,
% 2.73/2.98 (r(z, s(z)) <=> r(z, elem!1)),
% 2.73/2.99 inference(symmetry,[status(thm)],[894])).
% 2.73/2.99 tff(896,plain,
% 2.73/2.99 ((~r(z, s(z))) <=> (~r(z, elem!1))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[895])).
% 2.73/2.99 tff(897,plain,
% 2.73/2.99 (~r(z, elem!1)),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[393, 896])).
% 2.73/2.99 tff(898,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[234, 897])).
% 2.73/2.99 tff(899,plain,((~(elem!1 = s(z))) | (~r(z, elem!1)) | r(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(900,plain,
% 2.73/2.99 (~r(z, elem!1)),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[899, 893, 393])).
% 2.73/2.99 tff(901,plain,
% 2.73/2.99 (z = elem!1),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[353, 900, 177])).
% 2.73/2.99 tff(902,plain,
% 2.73/2.99 (b(s(s(elem!1)), z) <=> b(s(s(elem!1)), elem!1)),
% 2.73/2.99 inference(monotonicity,[status(thm)],[703])).
% 2.73/2.99 tff(903,plain,
% 2.73/2.99 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), z)),
% 2.73/2.99 inference(symmetry,[status(thm)],[902])).
% 2.73/2.99 tff(904,plain,
% 2.73/2.99 (b(s(s(elem!1)), z)),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[763, 903])).
% 2.73/2.99 tff(905,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[795, 904])).
% 2.73/2.99 tff(906,plain,((~b(s(s(elem!1)), elem!1)) | b(s(s(elem!1)), z) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(907,plain,
% 2.73/2.99 (~b(s(s(elem!1)), elem!1)),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[906, 901, 882])).
% 2.73/2.99 tff(908,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[327, 907, 892, 197])).
% 2.73/2.99 tff(909,plain,(b(z, elem!1) | r(z, s(z)) | b(s(s(s(z))), z) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(z), z) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(910,plain,
% 2.73/2.99 (b(z, elem!1)),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[909, 393, 129, 162, 137, 1, 176])).
% 2.73/2.99 tff(911,assumption,(r(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.99 tff(912,plain,
% 2.73/2.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(913,plain,
% 2.73/2.99 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(914,plain,
% 2.73/2.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[913])).
% 2.73/2.99 tff(915,plain,
% 2.73/2.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[914, 912])).
% 2.73/2.99 tff(916,plain,
% 2.73/2.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(917,plain,
% 2.73/2.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[916, 915])).
% 2.73/2.99 tff(918,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[917, 82, 164, 911, 371])).
% 2.73/2.99 tff(919,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(920,plain,
% 2.73/2.99 (~r(z, s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[919, 690, 150])).
% 2.73/2.99 tff(921,plain,
% 2.73/2.99 (b(z, s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[391, 920])).
% 2.73/2.99 tff(922,plain,
% 2.73/2.99 (~r(s(s(z)), s(s(s(z))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[572, 921, 175, 538, 150])).
% 2.73/2.99 tff(923,plain,
% 2.73/2.99 (b(s(s(z)), s(s(s(z))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[534, 922])).
% 2.73/2.99 tff(924,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(925,plain,
% 2.73/2.99 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(926,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[925])).
% 2.73/2.99 tff(927,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[926, 924])).
% 2.73/2.99 tff(928,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(929,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[928, 927])).
% 2.73/2.99 tff(930,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[929, 338, 486, 601, 651, 540, 175, 555])).
% 2.73/2.99 tff(931,plain,((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(932,plain,
% 2.73/2.99 (~b(z, s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[931, 651, 486, 540, 175, 555])).
% 2.73/2.99 tff(933,plain,
% 2.73/2.99 (r(z, s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[563, 932])).
% 2.73/2.99 tff(934,plain,
% 2.73/2.99 (~r(s(z), s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[619, 933, 405])).
% 2.73/2.99 tff(935,plain,
% 2.73/2.99 (b(s(z), s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[455, 934])).
% 2.73/2.99 tff(936,plain,
% 2.73/2.99 (~b(s(s(z)), s(z))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[484, 935, 542, 457, 476])).
% 2.73/2.99 tff(937,plain,
% 2.73/2.99 (r(s(s(z)), s(z))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[472, 936])).
% 2.73/2.99 tff(938,plain,
% 2.73/2.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(939,plain,
% 2.73/2.99 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(940,plain,
% 2.73/2.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[939])).
% 2.73/2.99 tff(941,plain,
% 2.73/2.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[940, 938])).
% 2.73/2.99 tff(942,plain,
% 2.73/2.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(943,plain,
% 2.73/2.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[942, 941])).
% 2.73/2.99 tff(944,plain,
% 2.73/2.99 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[943, 82, 108, 937])).
% 2.73/2.99 tff(945,plain,
% 2.73/2.99 (b(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[598, 944, 61])).
% 2.73/2.99 tff(946,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(947,plain,
% 2.73/2.99 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(948,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[947])).
% 2.73/2.99 tff(949,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[948, 946])).
% 2.73/2.99 tff(950,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(951,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[950, 949])).
% 2.73/2.99 tff(952,plain,
% 2.73/2.99 (~b(s(s(z)), z)),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[951, 338, 651, 935, 540, 945, 555])).
% 2.73/2.99 tff(953,assumption,(~r(s(s(z)), z)), introduced(assumption)).
% 2.73/2.99 tff(954,assumption,(~b(s(s(z)), z)), introduced(assumption)).
% 2.73/2.99 tff(955,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[497, 21, 56, 954, 953])).
% 2.73/2.99 tff(956,plain,(b(s(s(z)), z) | r(s(s(z)), z)), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(957,plain,
% 2.73/2.99 (r(s(s(z)), z)),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[956, 952])).
% 2.73/2.99 tff(958,plain,
% 2.73/2.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z)))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(959,plain,
% 2.73/2.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z)))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(960,plain,
% 2.73/2.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[959, 958])).
% 2.73/2.99 tff(961,plain,
% 2.73/2.99 (~r(s(s(s(z))), s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[960, 82, 426, 957])).
% 2.73/2.99 tff(962,plain,
% 2.73/2.99 (b(s(s(s(z))), s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[639, 961])).
% 2.73/2.99 tff(963,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(964,plain,
% 2.73/2.99 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(965,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[964])).
% 2.73/2.99 tff(966,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[965, 963])).
% 2.73/2.99 tff(967,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(968,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[967, 966])).
% 2.73/2.99 tff(969,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[968, 338, 476, 457, 542, 962, 935])).
% 2.73/2.99 tff(970,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(971,plain,
% 2.73/2.99 (~b(s(z), s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[970, 923, 425, 136, 538, 921, 108, 27, 404, 175])).
% 2.73/2.99 tff(972,plain,
% 2.73/2.99 (r(s(z), s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[106, 971])).
% 2.73/2.99 tff(973,plain,
% 2.73/2.99 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[593, 972, 425, 438, 923])).
% 2.73/2.99 tff(974,plain,
% 2.73/2.99 (b(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[598, 973, 61])).
% 2.73/2.99 tff(975,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(976,plain,
% 2.73/2.99 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(977,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[976])).
% 2.73/2.99 tff(978,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[977, 975])).
% 2.73/2.99 tff(979,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(980,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[979, 978])).
% 2.73/2.99 tff(981,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[980, 338, 601, 540, 175, 600, 555])).
% 2.73/2.99 tff(982,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(983,plain,
% 2.73/2.99 (~b(z, s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[982, 538, 175, 974, 921])).
% 2.73/2.99 tff(984,plain,
% 2.73/2.99 (r(z, s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[563, 983])).
% 2.73/2.99 tff(985,plain,
% 2.73/2.99 (~r(s(z), s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[619, 984, 27])).
% 2.73/2.99 tff(986,plain,
% 2.73/2.99 (b(s(z), s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[455, 985])).
% 2.73/2.99 tff(987,assumption,(b(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 2.73/2.99 tff(988,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(989,plain,
% 2.73/2.99 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(990,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[989])).
% 2.73/2.99 tff(991,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[990, 988])).
% 2.73/3.00 tff(992,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(993,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[992, 991])).
% 2.73/3.00 tff(994,plain,
% 2.73/3.00 (~b(s(s(z)), z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[993, 338, 476, 987, 540, 600, 555])).
% 2.73/3.00 tff(995,plain,
% 2.73/3.00 (r(s(s(z)), z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[956, 994])).
% 2.73/3.00 tff(996,plain,
% 2.73/3.00 (~r(s(s(s(z))), s(s(z)))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[960, 82, 426, 995])).
% 2.73/3.00 tff(997,plain,
% 2.73/3.00 (b(s(s(s(z))), s(s(z)))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[639, 996])).
% 2.73/3.00 tff(998,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(999,plain,
% 2.73/3.00 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1000,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[999])).
% 2.73/3.00 tff(1001,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[1000, 998])).
% 2.73/3.00 tff(1002,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1003,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 2.73/3.00 tff(1004,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1003, 338, 476, 458, 997, 987, 474, 600])).
% 2.73/3.00 tff(1005,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(1006,plain,
% 2.73/3.00 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1005, 923, 438, 986, 974, 136, 538, 921])).
% 2.73/3.00 tff(1007,plain,
% 2.73/3.00 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z)))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1008,plain,
% 2.73/3.00 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z)))))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1009,plain,
% 2.73/3.00 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1008, 1007])).
% 2.73/3.00 tff(1010,plain,
% 2.73/3.00 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1009, 21])).
% 2.73/3.00 tff(1011,plain,
% 2.73/3.00 (b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1010, 683])).
% 2.73/3.00 tff(1012,plain,
% 2.73/3.00 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1011, 1006])).
% 2.73/3.00 tff(1013,assumption,(s(s(s(s(z)))) = elem!1), introduced(assumption)).
% 2.73/3.00 tff(1014,plain,
% 2.73/3.00 (r(s(z), s(s(s(s(z))))) <=> r(s(z), elem!1)),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1013])).
% 2.73/3.00 tff(1015,plain,
% 2.73/3.00 (r(s(z), elem!1) <=> r(s(z), s(s(s(s(z)))))),
% 2.73/3.00 inference(symmetry,[status(thm)],[1014])).
% 2.73/3.00 tff(1016,plain,
% 2.73/3.00 ((~r(s(z), elem!1)) <=> (~r(s(z), s(s(s(s(z))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1015])).
% 2.73/3.00 tff(1017,plain,
% 2.73/3.00 (~r(s(z), s(s(s(s(z)))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[176, 1016])).
% 2.73/3.00 tff(1018,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[72, 1017])).
% 2.73/3.00 tff(1019,plain,((~(s(s(s(s(z)))) = elem!1)) | (~r(s(z), s(s(s(s(z)))))) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(1020,plain,
% 2.73/3.00 (~(s(s(s(s(z)))) = elem!1)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1019, 972, 176])).
% 2.73/3.00 tff(1021,assumption,(b(z, elem!1)), introduced(assumption)).
% 2.73/3.00 tff(1022,plain,
% 2.73/3.00 (b(z, elem!1) <=> b(z, z)),
% 2.73/3.00 inference(monotonicity,[status(thm)],[712])).
% 2.73/3.00 tff(1023,plain,
% 2.73/3.00 (b(z, z) <=> b(z, elem!1)),
% 2.73/3.00 inference(symmetry,[status(thm)],[1022])).
% 2.73/3.00 tff(1024,plain,
% 2.73/3.00 ((~b(z, z)) <=> (~b(z, elem!1))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1023])).
% 2.73/3.00 tff(1025,plain,
% 2.73/3.00 (^[X: $i] : refl((~b(X, X)) <=> (~b(X, X)))),
% 2.73/3.00 inference(bind,[status(th)],[])).
% 2.73/3.00 tff(1026,plain,
% 2.73/3.00 (![X: $i] : (~b(X, X)) <=> ![X: $i] : (~b(X, X))),
% 2.73/3.00 inference(quant_intro,[status(thm)],[1025])).
% 2.73/3.00 tff(1027,plain,
% 2.73/3.00 (![X: $i] : (~b(X, X)) <=> ![X: $i] : (~b(X, X))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1028,axiom,(![X: $i] : (~b(X, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bi')).
% 2.73/3.00 tff(1029,plain,
% 2.73/3.00 (![X: $i] : (~b(X, X))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 2.73/3.00 tff(1030,plain,(
% 2.73/3.00 ![X: $i] : (~b(X, X))),
% 2.73/3.00 inference(skolemize,[status(sab)],[1029])).
% 2.73/3.00 tff(1031,plain,
% 2.73/3.00 (![X: $i] : (~b(X, X))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1030, 1026])).
% 2.73/3.00 tff(1032,plain,
% 2.73/3.00 ((~![X: $i] : (~b(X, X))) | (~b(z, z))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1033,plain,
% 2.73/3.00 (~b(z, z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1032, 1031])).
% 2.73/3.00 tff(1034,plain,
% 2.73/3.00 (~b(z, elem!1)),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1033, 1024])).
% 2.73/3.00 tff(1035,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1021, 1034])).
% 2.73/3.00 tff(1036,plain,((~(elem!1 = z)) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(1037,plain,
% 2.73/3.00 (~(elem!1 = z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1036, 1021])).
% 2.73/3.00 tff(1038,assumption,(r(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 2.73/3.00 tff(1039,assumption,(~(s(s(s(s(z)))) = elem!1)), introduced(assumption)).
% 2.73/3.00 tff(1040,assumption,(elem!1 = s(s(s(z)))), introduced(assumption)).
% 2.73/3.00 tff(1041,plain,
% 2.73/3.00 (b(z, elem!1) <=> b(z, s(s(s(z))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1040])).
% 2.73/3.00 tff(1042,plain,
% 2.73/3.00 (b(z, s(s(s(z)))) <=> b(z, elem!1)),
% 2.73/3.00 inference(symmetry,[status(thm)],[1041])).
% 2.73/3.00 tff(1043,plain,
% 2.73/3.00 ((~b(z, s(s(s(z))))) <=> (~b(z, elem!1))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1042])).
% 2.73/3.00 tff(1044,plain,
% 2.73/3.00 (~b(z, elem!1)),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[138, 1043])).
% 2.73/3.00 tff(1045,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1021, 1044])).
% 2.73/3.00 tff(1046,plain,((~(elem!1 = s(s(s(z))))) | (~b(z, elem!1)) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(1047,plain,
% 2.73/3.00 (~(elem!1 = s(s(s(z))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1046, 1021, 138])).
% 2.73/3.00 tff(1048,plain,
% 2.73/3.00 (~r(s(z), s(s(s(z))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[414, 405, 150])).
% 2.73/3.00 tff(1049,plain,
% 2.73/3.00 (b(s(z), s(s(s(z))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[424, 1048])).
% 2.73/3.00 tff(1050,assumption,(~(elem!1 = s(s(s(z))))), introduced(assumption)).
% 2.73/3.00 tff(1051,plain,
% 2.73/3.00 ((elem!1 = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 2.73/3.00 inference(commutativity,[status(thm)],[])).
% 2.73/3.00 tff(1052,plain,
% 2.73/3.00 ((s(s(s(z))) = elem!1) <=> (elem!1 = s(s(s(z))))),
% 2.73/3.00 inference(symmetry,[status(thm)],[1051])).
% 2.73/3.00 tff(1053,assumption,(s(s(s(z))) = elem!1), introduced(assumption)).
% 2.73/3.00 tff(1054,plain,
% 2.73/3.00 (elem!1 = s(s(s(z)))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 2.73/3.00 tff(1055,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1050, 1054])).
% 2.73/3.00 tff(1056,plain,((~(s(s(s(z))) = elem!1)) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(1057,plain,
% 2.73/3.00 (~(s(s(s(z))) = elem!1)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1056, 1050])).
% 2.73/3.00 tff(1058,plain,
% 2.73/3.00 ((elem!1 = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 2.73/3.00 inference(symmetry,[status(thm)],[139])).
% 2.73/3.00 tff(1059,assumption,(elem!1 = s(s(s(s(z))))), introduced(assumption)).
% 2.73/3.00 tff(1060,plain,
% 2.73/3.00 (s(s(s(s(z)))) = elem!1),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 2.73/3.00 tff(1061,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1039, 1060])).
% 2.73/3.00 tff(1062,plain,((~(elem!1 = s(s(s(s(z)))))) | (s(s(s(s(z)))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(1063,plain,
% 2.73/3.00 (~(elem!1 = s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1062, 1039])).
% 2.73/3.00 tff(1064,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1065,plain,
% 2.73/3.00 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z)))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1066,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1065])).
% 2.73/3.00 tff(1067,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[1066, 1064])).
% 2.73/3.00 tff(1068,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1069,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 2.73/3.00 tff(1070,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1069, 338, 1021, 762, 706, 747, 486, 831])).
% 2.73/3.00 tff(1071,plain,((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(1072,plain,
% 2.73/3.00 (~b(elem!1, s(s(elem!1)))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1071, 831, 706, 747, 486, 1021])).
% 2.73/3.00 tff(1073,plain,
% 2.73/3.00 (r(elem!1, s(s(elem!1)))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[321, 1072, 137])).
% 2.73/3.00 tff(1074,plain,
% 2.73/3.00 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1075,plain,
% 2.73/3.00 (((~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z))) <=> ((~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1076,plain,
% 2.73/3.00 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1075])).
% 2.73/3.00 tff(1077,plain,
% 2.73/3.00 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[1076, 1074])).
% 2.73/3.00 tff(1078,plain,
% 2.73/3.00 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z)))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1079,plain,
% 2.73/3.00 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 2.73/3.00 tff(1080,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1079, 82, 802, 279, 165])).
% 2.73/3.00 tff(1081,plain,((~r(z, s(s(elem!1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(1082,plain,
% 2.73/3.00 (~r(elem!1, z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1081, 1073, 165])).
% 2.73/3.00 tff(1083,plain,
% 2.73/3.00 (b(elem!1, z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[846, 1082, 719])).
% 2.73/3.00 tff(1084,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1085,plain,
% 2.73/3.00 (((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z))))))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1086,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z))))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1085])).
% 2.73/3.00 tff(1087,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[1086, 1084])).
% 2.73/3.00 tff(1088,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1089,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z))))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 2.73/3.00 tff(1090,plain,
% 2.73/3.00 (~b(elem!1, s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1089, 338, 1021, 1083, 706, 486, 175])).
% 2.73/3.00 tff(1091,plain,
% 2.73/3.00 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(z))))) | b(elem!1, s(s(s(s(z))))) | r(elem!1, s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(z))))) | b(elem!1, s(s(s(s(z))))) | r(elem!1, s(s(s(s(z))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1092,plain,
% 2.73/3.00 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(z))))) | b(elem!1, s(s(s(s(z))))) | r(elem!1, s(s(s(s(z))))))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1093,plain,
% 2.73/3.00 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(z))))) | b(elem!1, s(s(s(s(z))))) | r(elem!1, s(s(s(s(z)))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1092, 1091])).
% 2.73/3.00 tff(1094,plain,
% 2.73/3.00 ((elem!1 = s(s(s(s(z))))) | b(elem!1, s(s(s(s(z))))) | r(elem!1, s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1093, 21])).
% 2.73/3.00 tff(1095,plain,
% 2.73/3.00 (r(elem!1, s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1094, 1090, 1063])).
% 2.73/3.00 tff(1096,plain,
% 2.73/3.00 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1097,plain,
% 2.73/3.00 (((~r(elem!1, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), elem!1))) <=> ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1098,plain,
% 2.73/3.00 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[1097])).
% 2.73/3.00 tff(1099,plain,
% 2.73/3.00 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[1098, 1096])).
% 2.73/3.00 tff(1100,plain,
% 2.73/3.00 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), elem!1)))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1101,plain,
% 2.73/3.00 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1100, 1099])).
% 2.73/3.00 tff(1102,plain,
% 2.73/3.00 (~r(s(s(s(z))), elem!1)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1101, 82, 1095, 911])).
% 2.73/3.00 tff(1103,assumption,(~(s(s(s(z))) = elem!1)), introduced(assumption)).
% 2.73/3.00 tff(1104,assumption,(~r(s(s(s(z))), elem!1)), introduced(assumption)).
% 2.73/3.00 tff(1105,assumption,(~b(s(s(s(z))), elem!1)), introduced(assumption)).
% 2.73/3.00 tff(1106,plain,
% 2.73/3.00 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = elem!1) | b(s(s(s(z))), elem!1) | r(s(s(s(z))), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = elem!1) | b(s(s(s(z))), elem!1) | r(s(s(s(z))), elem!1))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(1107,plain,
% 2.73/3.00 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = elem!1) | b(s(s(s(z))), elem!1) | r(s(s(s(z))), elem!1))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(1108,plain,
% 2.73/3.00 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = elem!1) | b(s(s(s(z))), elem!1) | r(s(s(s(z))), elem!1)),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 2.73/3.00 tff(1109,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1108, 21, 1105, 1104, 1103])).
% 2.73/3.00 tff(1110,plain,(b(s(s(s(z))), elem!1) | r(s(s(s(z))), elem!1) | (s(s(s(z))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1111,plain,
% 2.73/3.01 (b(s(s(s(z))), elem!1)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1110, 1102, 1057])).
% 2.73/3.01 tff(1112,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1113,plain,
% 2.73/3.01 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1114,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z))))))))),
% 2.73/3.01 inference(monotonicity,[status(thm)],[1113])).
% 2.73/3.01 tff(1115,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/3.01 inference(transitivity,[status(thm)],[1114, 1112])).
% 2.73/3.01 tff(1116,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1117,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z))))))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 2.73/3.01 tff(1118,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1117, 82, 164, 1038, 371])).
% 2.73/3.01 tff(1119,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1120,plain,
% 2.73/3.01 (~r(z, s(s(s(s(z)))))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1119, 1038, 164])).
% 2.73/3.01 tff(1121,plain,
% 2.73/3.01 (b(z, s(s(s(s(z)))))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[391, 1120])).
% 2.73/3.01 tff(1122,assumption,(r(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.73/3.01 tff(1123,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1124,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1125,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1124, 1123])).
% 2.73/3.01 tff(1126,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1125, 82, 164, 1038, 1122])).
% 2.73/3.01 tff(1127,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1128,plain,
% 2.73/3.01 (~r(s(s(s(s(z)))), z)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1127, 1038, 164])).
% 2.73/3.01 tff(1129,plain,
% 2.73/3.01 (b(s(s(s(s(z)))), z)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[127, 1128])).
% 2.73/3.01 tff(1130,assumption,(b(s(s(s(s(z)))), elem!1)), introduced(assumption)).
% 2.73/3.01 tff(1131,assumption,(b(elem!1, z)), introduced(assumption)).
% 2.73/3.01 tff(1132,plain,
% 2.73/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1133,plain,
% 2.73/3.01 (((~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1134,plain,
% 2.73/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 2.73/3.01 inference(monotonicity,[status(thm)],[1133])).
% 2.73/3.01 tff(1135,plain,
% 2.73/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.73/3.01 inference(transitivity,[status(thm)],[1134, 1132])).
% 2.73/3.01 tff(1136,plain,
% 2.73/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1137,plain,
% 2.73/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 2.73/3.01 tff(1138,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1137, 338, 1021, 1131, 1130, 1129, 1121])).
% 2.73/3.01 tff(1139,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), elem!1)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1140,plain,
% 2.73/3.01 (~b(s(s(s(s(z)))), elem!1)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1139, 1083, 164, 1038, 1021])).
% 2.73/3.01 tff(1141,plain,
% 2.73/3.01 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = elem!1) | b(s(s(s(s(z)))), elem!1) | r(s(s(s(s(z)))), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = elem!1) | b(s(s(s(s(z)))), elem!1) | r(s(s(s(s(z)))), elem!1))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1142,plain,
% 2.73/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = elem!1) | b(s(s(s(s(z)))), elem!1) | r(s(s(s(s(z)))), elem!1))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1143,plain,
% 2.73/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = elem!1) | b(s(s(s(s(z)))), elem!1) | r(s(s(s(s(z)))), elem!1)),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 2.73/3.01 tff(1144,plain,
% 2.73/3.01 ((s(s(s(s(z)))) = elem!1) | b(s(s(s(s(z)))), elem!1) | r(s(s(s(s(z)))), elem!1)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1143, 21])).
% 2.73/3.01 tff(1145,plain,
% 2.73/3.01 (r(s(s(s(s(z)))), elem!1)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1144, 1140, 1039])).
% 2.73/3.01 tff(1146,assumption,(r(elem!1, s(s(s(z))))), introduced(assumption)).
% 2.73/3.01 tff(1147,assumption,(r(s(s(s(s(z)))), elem!1)), introduced(assumption)).
% 2.73/3.01 tff(1148,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1149,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1150,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), elem!1))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 2.73/3.01 tff(1151,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1150, 82, 1038, 1147, 1146])).
% 2.73/3.01 tff(1152,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1153,plain,
% 2.73/3.01 (~r(elem!1, s(s(s(z))))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1152, 1145, 1038])).
% 2.73/3.01 tff(1154,assumption,(~r(elem!1, s(s(s(z))))), introduced(assumption)).
% 2.73/3.01 tff(1155,assumption,(~b(elem!1, s(s(s(z))))), introduced(assumption)).
% 2.73/3.01 tff(1156,plain,
% 2.73/3.01 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(z)))) | b(elem!1, s(s(s(z)))) | r(elem!1, s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(z)))) | b(elem!1, s(s(s(z)))) | r(elem!1, s(s(s(z)))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1157,plain,
% 2.73/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(z)))) | b(elem!1, s(s(s(z)))) | r(elem!1, s(s(s(z)))))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1158,plain,
% 2.73/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(z)))) | b(elem!1, s(s(s(z)))) | r(elem!1, s(s(s(z))))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 2.73/3.01 tff(1159,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1158, 21, 1155, 1154, 1050])).
% 2.73/3.01 tff(1160,plain,(b(elem!1, s(s(s(z)))) | r(elem!1, s(s(s(z)))) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1161,plain,
% 2.73/3.01 (b(elem!1, s(s(s(z))))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1160, 1153, 1050])).
% 2.73/3.01 tff(1162,plain,
% 2.73/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1163,plain,
% 2.73/3.01 (((~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1164,plain,
% 2.73/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z)))))),
% 2.73/3.01 inference(monotonicity,[status(thm)],[1163])).
% 2.73/3.01 tff(1165,plain,
% 2.73/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 2.73/3.01 inference(transitivity,[status(thm)],[1164, 1162])).
% 2.73/3.01 tff(1166,plain,
% 2.73/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1167,plain,
% 2.73/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z)))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 2.73/3.01 tff(1168,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1167, 338, 706, 457, 458, 1161, 1111, 831])).
% 2.73/3.01 tff(1169,plain,((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (s(s(s(s(z)))) = elem!1) | (~r(z, s(s(s(z))))) | (elem!1 = z) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1170,plain,
% 2.73/3.01 (~b(elem!1, s(z))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1169, 1021, 1049, 458, 911, 706, 486, 175, 1047, 1038, 1039, 150, 719, 165, 137, 744])).
% 2.73/3.01 tff(1171,plain,
% 2.73/3.01 (r(elem!1, s(z))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[819, 1170, 720])).
% 2.73/3.01 tff(1172,plain,
% 2.73/3.01 (~r(elem!1, z)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[811, 1171, 405])).
% 2.73/3.01 tff(1173,plain,
% 2.73/3.01 (b(elem!1, z)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[846, 1172, 719])).
% 2.73/3.01 tff(1174,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1175,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1176,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), elem!1))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1175, 1174])).
% 2.73/3.01 tff(1177,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1176, 82, 108, 1147, 803])).
% 2.73/3.01 tff(1178,plain,((~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1179,plain,
% 2.73/3.01 (~r(s(s(s(s(z)))), elem!1)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1178, 1171, 108])).
% 2.73/3.01 tff(1180,plain,
% 2.73/3.01 (b(s(s(s(s(z)))), elem!1)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1144, 1179, 1039])).
% 2.73/3.01 tff(1181,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1139, 1180, 1173, 150, 1038, 1021])).
% 2.73/3.01 tff(1182,plain,((~b(z, elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (s(s(s(s(z)))) = elem!1) | (elem!1 = z) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (elem!1 = s(z)) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1183,plain,
% 2.73/3.01 (~b(s(z), elem!1)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1182, 720, 1039, 1038, 108, 405, 1021, 458, 911, 1037, 486, 175, 165, 137, 138])).
% 2.73/3.01 tff(1184,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[701, 1183, 753, 176])).
% 2.73/3.01 tff(1185,plain,((elem!1 = s(z)) | r(s(z), elem!1) | (s(s(s(s(z)))) = elem!1) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1186,plain,
% 2.73/3.01 (elem!1 = s(z)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1185, 1020, 176, 1012, 108, 27, 910, 438, 690, 404, 175, 162, 137, 138])).
% 2.73/3.01 tff(1187,plain,
% 2.73/3.01 (s(z) = elem!1),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[696, 1186])).
% 2.73/3.01 tff(1188,plain,
% 2.73/3.01 (s(s(z)) = s(elem!1)),
% 2.73/3.01 inference(monotonicity,[status(thm)],[1187])).
% 2.73/3.01 tff(1189,plain,
% 2.73/3.01 (s(s(s(z))) = s(s(elem!1))),
% 2.73/3.01 inference(monotonicity,[status(thm)],[1188])).
% 2.73/3.01 tff(1190,plain,
% 2.73/3.01 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.73/3.01 inference(monotonicity,[status(thm)],[1189])).
% 2.73/3.01 tff(1191,plain,
% 2.73/3.01 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 2.73/3.01 inference(symmetry,[status(thm)],[1190])).
% 2.73/3.01 tff(1192,plain,
% 2.73/3.01 (s(s(s(z))) = s(s(elem!1))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[873, 1187])).
% 2.73/3.01 tff(1193,plain,
% 2.73/3.01 (~b(s(s(elem!1)), z)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[881, 1192, 129])).
% 2.73/3.01 tff(1194,plain,
% 2.73/3.01 (r(s(s(elem!1)), z)),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[800, 1193])).
% 2.73/3.01 tff(1195,plain,
% 2.73/3.01 (~r(s(z), s(s(elem!1)))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[729, 405, 162])).
% 2.73/3.01 tff(1196,plain,
% 2.73/3.01 (b(s(z), s(s(elem!1)))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[743, 1195])).
% 2.73/3.01 tff(1197,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1198,plain,
% 2.73/3.01 (((~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(z)))))) <=> ((~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1199,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(z)))))))),
% 2.73/3.01 inference(monotonicity,[status(thm)],[1198])).
% 2.73/3.01 tff(1200,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 2.73/3.01 inference(transitivity,[status(thm)],[1199, 1197])).
% 2.73/3.01 tff(1201,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1202,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(z)))))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 2.73/3.01 tff(1203,plain,
% 2.73/3.01 (~r(s(s(elem!1)), s(s(s(z))))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1202, 82, 787, 426])).
% 2.73/3.01 tff(1204,assumption,(s(s(elem!1)) = s(s(s(z)))), introduced(assumption)).
% 2.73/3.01 tff(1205,plain,
% 2.73/3.01 (s(s(s(z))) = s(s(elem!1))),
% 2.73/3.01 inference(symmetry,[status(thm)],[1204])).
% 2.73/3.01 tff(1206,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[871, 1205])).
% 2.73/3.01 tff(1207,plain,((~(s(s(elem!1)) = s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1208,plain,
% 2.73/3.01 (~(s(s(elem!1)) = s(s(s(z))))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1207, 871])).
% 2.73/3.01 tff(1209,plain,
% 2.73/3.01 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(z)))) | b(s(s(elem!1)), s(s(s(z)))) | r(s(s(elem!1)), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(z)))) | b(s(s(elem!1)), s(s(s(z)))) | r(s(s(elem!1)), s(s(s(z)))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1210,plain,
% 2.73/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(z)))) | b(s(s(elem!1)), s(s(s(z)))) | r(s(s(elem!1)), s(s(s(z)))))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1211,plain,
% 2.73/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(z)))) | b(s(s(elem!1)), s(s(s(z)))) | r(s(s(elem!1)), s(s(s(z))))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 2.73/3.01 tff(1212,plain,
% 2.73/3.01 (b(s(s(elem!1)), s(s(s(z))))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1211, 21, 1208, 1203])).
% 2.73/3.01 tff(1213,plain,
% 2.73/3.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1214,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1215,plain,
% 2.73/3.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1))))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 2.73/3.01 tff(1216,plain,
% 2.73/3.01 ($false),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1215, 82, 787, 426, 163])).
% 2.73/3.01 tff(1217,plain,((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.01 tff(1218,plain,
% 2.73/3.01 (~r(s(s(s(z))), s(s(elem!1)))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1217, 426, 787])).
% 2.73/3.01 tff(1219,plain,
% 2.73/3.01 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(elem!1))) | b(s(s(s(z))), s(s(elem!1))) | r(s(s(s(z))), s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(elem!1))) | b(s(s(s(z))), s(s(elem!1))) | r(s(s(s(z))), s(s(elem!1))))),
% 2.73/3.01 inference(rewrite,[status(thm)],[])).
% 2.73/3.01 tff(1220,plain,
% 2.73/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(elem!1))) | b(s(s(s(z))), s(s(elem!1))) | r(s(s(s(z))), s(s(elem!1))))),
% 2.73/3.01 inference(quant_inst,[status(thm)],[])).
% 2.73/3.01 tff(1221,plain,
% 2.73/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(elem!1))) | b(s(s(s(z))), s(s(elem!1))) | r(s(s(s(z))), s(s(elem!1)))),
% 2.73/3.01 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 2.73/3.01 tff(1222,plain,
% 2.73/3.01 (b(s(s(s(z))), s(s(elem!1)))),
% 2.73/3.01 inference(unit_resolution,[status(thm)],[1221, 21, 871, 1218])).
% 2.73/3.01 tff(1223,plain,
% 2.73/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1224,plain,
% 2.73/3.02 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1225,plain,
% 2.73/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1224])).
% 2.73/3.02 tff(1226,plain,
% 2.73/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 2.73/3.02 inference(transitivity,[status(thm)],[1225, 1223])).
% 2.73/3.02 tff(1227,plain,
% 2.73/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1228,plain,
% 2.73/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 2.73/3.02 tff(1229,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1228, 338, 747, 457, 458, 1222, 1212])).
% 2.73/3.02 tff(1230,plain,((~r(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1231,plain,
% 2.73/3.02 (s(s(s(z))) = s(s(elem!1))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1230, 787, 426, 1196, 542, 457])).
% 2.73/3.02 tff(1232,plain,
% 2.73/3.02 (inj_0(s(s(s(z)))) = inj_0(s(s(elem!1)))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[875])).
% 2.73/3.02 tff(1233,plain,
% 2.73/3.02 (s(s(z)) = s(elem!1)),
% 2.73/3.02 inference(transitivity,[status(thm)],[53, 1232, 181])).
% 2.73/3.02 tff(1234,plain,
% 2.73/3.02 (inj_0(s(s(z))) = inj_0(s(elem!1))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1233])).
% 2.73/3.02 tff(1235,plain,
% 2.73/3.02 (s(z) = elem!1),
% 2.73/3.02 inference(transitivity,[status(thm)],[446, 1234, 199])).
% 2.73/3.02 tff(1236,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[691, 1235])).
% 2.73/3.02 tff(1237,plain,((~(s(s(s(z))) = s(s(elem!1)))) | (s(z) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1238,plain,
% 2.73/3.02 (s(z) = elem!1),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1237, 1231])).
% 2.73/3.02 tff(1239,plain,
% 2.73/3.02 (s(s(z)) = s(elem!1)),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1238])).
% 2.73/3.02 tff(1240,plain,
% 2.73/3.02 (s(s(s(z))) = s(s(elem!1))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1239])).
% 2.73/3.02 tff(1241,plain,
% 2.73/3.02 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1240])).
% 2.73/3.02 tff(1242,plain,
% 2.73/3.02 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1241])).
% 2.73/3.02 tff(1243,plain,
% 2.73/3.02 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1238])).
% 2.73/3.02 tff(1244,plain,
% 2.73/3.02 (r(s(s(s(s(z)))), elem!1)),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[108, 1243])).
% 2.73/3.02 tff(1245,plain,
% 2.73/3.02 (r(s(s(s(elem!1))), elem!1)),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1244, 1242])).
% 2.73/3.02 tff(1246,plain,
% 2.73/3.02 (r(elem!1, z)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[867, 1238, 405])).
% 2.73/3.02 tff(1247,plain,
% 2.73/3.02 (~r(elem!1, s(s(elem!1)))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1081, 1246, 162])).
% 2.73/3.02 tff(1248,plain,
% 2.73/3.02 (b(elem!1, s(s(elem!1)))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[321, 1247, 137])).
% 2.73/3.02 tff(1249,plain,
% 2.73/3.02 (~r(s(s(elem!1)), s(z))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[792, 787, 405])).
% 2.73/3.02 tff(1250,plain,
% 2.73/3.02 (b(s(s(elem!1)), s(z))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[784, 1249])).
% 2.73/3.02 tff(1251,plain,
% 2.73/3.02 (~r(s(s(elem!1)), elem!1)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[891, 1246, 787])).
% 2.73/3.02 tff(1252,plain,
% 2.73/3.02 (b(s(s(elem!1)), elem!1)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[327, 1251, 197])).
% 2.73/3.02 tff(1253,plain,
% 2.73/3.02 (~b(s(z), elem!1)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[772, 1252, 1196, 1250, 1248])).
% 2.73/3.02 tff(1254,plain,
% 2.73/3.02 ((elem!1 = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 2.73/3.02 inference(commutativity,[status(thm)],[])).
% 2.73/3.02 tff(1255,plain,
% 2.73/3.02 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1238])).
% 2.73/3.02 tff(1256,plain,
% 2.73/3.02 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 2.73/3.02 inference(transitivity,[status(thm)],[1255, 1254])).
% 2.73/3.02 tff(1257,plain,
% 2.73/3.02 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1256])).
% 2.73/3.02 tff(1258,assumption,(s(z) = s(s(s(elem!1)))), introduced(assumption)).
% 2.73/3.02 tff(1259,plain,
% 2.73/3.02 (inj_0(s(z)) = inj_0(s(s(s(elem!1))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1258])).
% 2.73/3.02 tff(1260,plain,
% 2.73/3.02 (inj_0(s(s(s(elem!1)))) = inj_0(s(z))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1259])).
% 2.73/3.02 tff(1261,plain,
% 2.73/3.02 (s(s(elem!1)) = z),
% 2.73/3.02 inference(transitivity,[status(thm)],[205, 1260, 48])).
% 2.73/3.02 tff(1262,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[155, 1261])).
% 2.73/3.02 tff(1263,plain,(~(s(z) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1264,plain,
% 2.73/3.02 (~(s(s(s(elem!1))) = elem!1)),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1263, 1257])).
% 2.73/3.02 tff(1265,plain,
% 2.73/3.02 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1241])).
% 2.73/3.02 tff(1266,plain,
% 2.73/3.02 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(s(elem!1))), s(s(elem!1))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1265])).
% 2.73/3.02 tff(1267,assumption,(~b(s(s(s(s(z)))), s(s(elem!1)))), introduced(assumption)).
% 2.73/3.02 tff(1268,plain,
% 2.73/3.02 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1267, 1266])).
% 2.73/3.02 tff(1269,assumption,(r(s(s(s(elem!1))), elem!1)), introduced(assumption)).
% 2.73/3.02 tff(1270,assumption,(~b(s(s(s(elem!1))), s(s(elem!1)))), introduced(assumption)).
% 2.73/3.02 tff(1271,assumption,(~(s(s(s(elem!1))) = elem!1)), introduced(assumption)).
% 2.73/3.02 tff(1272,assumption,(s(s(s(elem!1))) = s(s(elem!1))), introduced(assumption)).
% 2.73/3.02 tff(1273,plain,
% 2.73/3.02 ((s(s(s(elem!1))) = elem!1) <=> (s(s(elem!1)) = elem!1)),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1272])).
% 2.73/3.02 tff(1274,plain,
% 2.73/3.02 ((s(s(elem!1)) = elem!1) <=> (s(s(s(elem!1))) = elem!1)),
% 2.73/3.02 inference(symmetry,[status(thm)],[1273])).
% 2.73/3.02 tff(1275,plain,
% 2.73/3.02 (s(s(elem!1)) = s(s(s(elem!1)))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1272])).
% 2.73/3.02 tff(1276,plain,
% 2.73/3.02 (inj_0(s(s(elem!1))) = inj_0(s(s(s(elem!1))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1275])).
% 2.73/3.02 tff(1277,plain,
% 2.73/3.02 (inj_0(s(s(s(elem!1)))) = inj_0(s(s(elem!1)))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1276])).
% 2.73/3.02 tff(1278,plain,
% 2.73/3.02 (s(s(elem!1)) = s(elem!1)),
% 2.73/3.02 inference(transitivity,[status(thm)],[205, 1277, 181])).
% 2.73/3.02 tff(1279,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[229, 1278])).
% 2.73/3.02 tff(1280,plain,((~(s(s(s(elem!1))) = s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1281,plain,
% 2.73/3.02 (s(s(elem!1)) = s(elem!1)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1280, 1272])).
% 2.73/3.02 tff(1282,plain,
% 2.73/3.02 (s(s(s(elem!1))) = s(elem!1)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[224, 1281])).
% 2.73/3.02 tff(1283,plain,
% 2.73/3.02 (s(elem!1) = s(s(s(elem!1)))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[217, 1282])).
% 2.73/3.02 tff(1284,plain,
% 2.73/3.02 (s(s(elem!1)) = elem!1),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[209, 1283])).
% 2.73/3.02 tff(1285,plain,
% 2.73/3.02 (s(s(s(elem!1))) = elem!1),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1284, 1274])).
% 2.73/3.02 tff(1286,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1271, 1285])).
% 2.73/3.02 tff(1287,plain,((~(s(s(s(elem!1))) = s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1288,plain,
% 2.73/3.02 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1287, 1271])).
% 2.73/3.02 tff(1289,plain,
% 2.73/3.02 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(s(elem!1))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(s(elem!1))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1290,plain,
% 2.73/3.02 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(s(elem!1))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1291,plain,
% 2.73/3.02 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(s(elem!1))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1)))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 2.73/3.02 tff(1292,plain,
% 2.73/3.02 ((s(s(s(elem!1))) = s(s(elem!1))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1)))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1291, 21])).
% 2.73/3.02 tff(1293,plain,
% 2.73/3.02 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1292, 1288, 1270])).
% 2.73/3.02 tff(1294,assumption,(r(s(s(s(elem!1))), s(s(elem!1)))), introduced(assumption)).
% 2.73/3.02 tff(1295,plain,
% 2.73/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1296,plain,
% 2.73/3.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1297,plain,
% 2.73/3.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1))))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1296, 1295])).
% 2.73/3.02 tff(1298,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1297, 82, 254, 1294, 1269])).
% 2.73/3.02 tff(1299,plain,((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1300,plain,
% 2.73/3.02 (~r(s(s(elem!1)), elem!1)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1299, 1293, 1269])).
% 2.73/3.02 tff(1301,assumption,(r(s(s(s(elem!1))), z)), introduced(assumption)).
% 2.73/3.02 tff(1302,plain,
% 2.73/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1303,plain,
% 2.73/3.02 (((~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), z))) <=> ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1304,plain,
% 2.73/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1303])).
% 2.73/3.02 tff(1305,plain,
% 2.73/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.02 inference(transitivity,[status(thm)],[1304, 1302])).
% 2.73/3.02 tff(1306,plain,
% 2.73/3.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), z)))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1307,plain,
% 2.73/3.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 2.73/3.02 tff(1308,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1307, 82, 1301, 1294, 165])).
% 2.73/3.02 tff(1309,plain,((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1310,plain,
% 2.73/3.02 (~r(s(s(s(elem!1))), z)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1309, 1293, 162])).
% 2.73/3.02 tff(1311,plain,
% 2.73/3.02 (r(s(s(s(elem!1))), z) <=> r(s(s(s(elem!1))), elem!1)),
% 2.73/3.02 inference(monotonicity,[status(thm)],[703])).
% 2.73/3.02 tff(1312,plain,
% 2.73/3.02 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(elem!1))), z)),
% 2.73/3.02 inference(symmetry,[status(thm)],[1311])).
% 2.73/3.02 tff(1313,plain,
% 2.73/3.02 (r(s(s(s(elem!1))), z)),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1269, 1312])).
% 2.73/3.02 tff(1314,assumption,(~r(s(s(s(elem!1))), z)), introduced(assumption)).
% 2.73/3.02 tff(1315,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1314, 1313])).
% 2.73/3.02 tff(1316,plain,((~(z = elem!1)) | r(s(s(s(elem!1))), z) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1317,plain,
% 2.73/3.02 (~(z = elem!1)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1316, 1310, 1269])).
% 2.73/3.02 tff(1318,assumption,(~b(s(z), elem!1)), introduced(assumption)).
% 2.73/3.02 tff(1319,assumption,(s(s(s(s(elem!1)))) = s(s(s(elem!1)))), introduced(assumption)).
% 2.73/3.02 tff(1320,plain,
% 2.73/3.02 (s(s(s(elem!1))) = s(s(s(s(elem!1))))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1319])).
% 2.73/3.02 tff(1321,plain,
% 2.73/3.02 (inj_0(s(s(s(elem!1)))) = inj_0(s(s(s(s(elem!1)))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1320])).
% 2.73/3.02 tff(1322,plain,
% 2.73/3.02 (inj_0(s(s(s(s(elem!1))))) = inj_0(s(s(s(elem!1))))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1321])).
% 2.73/3.02 tff(1323,plain,
% 2.73/3.02 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(elem!1))))) = s(s(s(elem!1))))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1324,plain,
% 2.73/3.02 (inj_0(s(s(s(s(elem!1))))) = s(s(s(elem!1)))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1323, 38])).
% 2.73/3.02 tff(1325,plain,
% 2.73/3.02 (s(s(s(elem!1))) = inj_0(s(s(s(s(elem!1)))))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1324])).
% 2.73/3.02 tff(1326,plain,
% 2.73/3.02 (s(s(s(elem!1))) = s(s(elem!1))),
% 2.73/3.02 inference(transitivity,[status(thm)],[1325, 1322, 204])).
% 2.73/3.02 tff(1327,assumption,(~(s(s(s(elem!1))) = s(s(elem!1)))), introduced(assumption)).
% 2.73/3.02 tff(1328,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1327, 1326])).
% 2.73/3.02 tff(1329,plain,((~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1330,plain,
% 2.73/3.02 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1329, 1288])).
% 2.73/3.02 tff(1331,assumption,(s(elem!1) = s(s(s(s(elem!1))))), introduced(assumption)).
% 2.73/3.02 tff(1332,plain,
% 2.73/3.02 (inj_0(s(elem!1)) = inj_0(s(s(s(s(elem!1)))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1331])).
% 2.73/3.02 tff(1333,plain,
% 2.73/3.02 (inj_0(s(s(s(s(elem!1))))) = inj_0(s(elem!1))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1332])).
% 2.73/3.02 tff(1334,plain,
% 2.73/3.02 (s(s(s(elem!1))) = elem!1),
% 2.73/3.02 inference(transitivity,[status(thm)],[1325, 1333, 199])).
% 2.73/3.02 tff(1335,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1271, 1334])).
% 2.73/3.02 tff(1336,plain,((~(s(elem!1) = s(s(s(s(elem!1)))))) | (s(s(s(elem!1))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1337,plain,
% 2.73/3.02 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1336, 1271])).
% 2.73/3.02 tff(1338,plain,
% 2.73/3.02 ((s(s(s(elem!1))) = s(s(elem!1))) <=> (s(s(s(elem!1))) = s(elem!1))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[219])).
% 2.73/3.02 tff(1339,plain,
% 2.73/3.02 ((s(s(s(elem!1))) = s(elem!1)) <=> (s(s(s(elem!1))) = s(s(elem!1)))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1338])).
% 2.73/3.02 tff(1340,plain,
% 2.73/3.02 (s(s(s(elem!1))) = s(elem!1)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[224, 219])).
% 2.73/3.02 tff(1341,plain,
% 2.73/3.02 (s(s(s(elem!1))) = s(s(elem!1))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 2.73/3.02 tff(1342,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1327, 1341])).
% 2.73/3.02 tff(1343,plain,((~(s(s(elem!1)) = s(elem!1))) | (s(s(s(elem!1))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1344,plain,
% 2.73/3.02 (~(s(s(elem!1)) = s(elem!1))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1343, 1288])).
% 2.73/3.02 tff(1345,plain,
% 2.73/3.02 (s(s(elem!1)) = s(s(s(z)))),
% 2.73/3.02 inference(symmetry,[status(thm)],[870])).
% 2.73/3.02 tff(1346,plain,
% 2.73/3.02 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), s(s(s(z))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1345])).
% 2.73/3.02 tff(1347,plain,
% 2.73/3.02 (b(s(elem!1), s(s(s(z)))) <=> b(s(elem!1), s(s(elem!1)))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1346])).
% 2.73/3.02 tff(1348,plain,
% 2.73/3.02 (b(s(s(z)), s(s(s(z)))) <=> b(s(elem!1), s(s(s(z))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[869])).
% 2.73/3.02 tff(1349,plain,
% 2.73/3.02 (b(s(s(z)), s(s(s(z)))) <=> b(s(elem!1), s(s(elem!1)))),
% 2.73/3.02 inference(transitivity,[status(thm)],[1348, 1347])).
% 2.73/3.02 tff(1350,plain,
% 2.73/3.02 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[870])).
% 2.73/3.02 tff(1351,plain,
% 2.73/3.02 (b(z, s(s(s(s(z))))) <=> b(z, s(s(s(elem!1))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1350])).
% 2.73/3.02 tff(1352,plain,
% 2.73/3.02 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(s(s(z)))))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1351])).
% 2.73/3.02 tff(1353,assumption,(r(z, s(s(s(elem!1))))), introduced(assumption)).
% 2.73/3.02 tff(1354,plain,
% 2.73/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1355,plain,
% 2.73/3.02 (((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))) <=> ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1356,plain,
% 2.73/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1))))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1355])).
% 2.73/3.02 tff(1357,plain,
% 2.73/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))))),
% 2.73/3.02 inference(transitivity,[status(thm)],[1356, 1354])).
% 2.73/3.02 tff(1358,plain,
% 2.73/3.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1359,plain,
% 2.73/3.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1))))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 2.73/3.02 tff(1360,plain,
% 2.73/3.02 ($false),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1359, 82, 1294, 165, 1353])).
% 2.73/3.02 tff(1361,plain,((~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.02 tff(1362,plain,
% 2.73/3.02 (~r(z, s(s(s(elem!1))))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1361, 1294, 165])).
% 2.73/3.02 tff(1363,plain,
% 2.73/3.02 ((z = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = z)),
% 2.73/3.02 inference(commutativity,[status(thm)],[])).
% 2.73/3.02 tff(1364,plain,
% 2.73/3.02 ((s(s(s(elem!1))) = z) <=> (z = s(s(s(elem!1))))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1363])).
% 2.73/3.02 tff(1365,plain,
% 2.73/3.02 ((~(s(s(s(elem!1))) = z)) <=> (~(z = s(s(s(elem!1)))))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1364])).
% 2.73/3.02 tff(1366,plain,
% 2.73/3.02 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(elem!1))) = z))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1367,plain,
% 2.73/3.02 (~(s(s(s(elem!1))) = z)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1366, 9])).
% 2.73/3.02 tff(1368,plain,
% 2.73/3.02 (~(z = s(s(s(elem!1))))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1367, 1365])).
% 2.73/3.02 tff(1369,plain,
% 2.73/3.02 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(elem!1)))) | b(z, s(s(s(elem!1)))) | r(z, s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(elem!1)))) | b(z, s(s(s(elem!1)))) | r(z, s(s(s(elem!1)))))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1370,plain,
% 2.73/3.02 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(elem!1)))) | b(z, s(s(s(elem!1)))) | r(z, s(s(s(elem!1)))))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1371,plain,
% 2.73/3.02 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(elem!1)))) | b(z, s(s(s(elem!1)))) | r(z, s(s(s(elem!1))))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1370, 1369])).
% 2.73/3.02 tff(1372,plain,
% 2.73/3.02 ((z = s(s(s(elem!1)))) | b(z, s(s(s(elem!1)))) | r(z, s(s(s(elem!1))))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1371, 21])).
% 2.73/3.02 tff(1373,plain,
% 2.73/3.02 (b(z, s(s(s(elem!1)))) | r(z, s(s(s(elem!1))))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1372, 1368])).
% 2.73/3.02 tff(1374,plain,
% 2.73/3.02 (b(z, s(s(s(elem!1))))),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1373, 1362])).
% 2.73/3.02 tff(1375,plain,
% 2.73/3.02 (b(z, s(s(s(s(z)))))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[1374, 1352])).
% 2.73/3.02 tff(1376,plain,
% 2.73/3.02 (r(z, s(s(s(z)))) <=> r(z, s(s(elem!1)))),
% 2.73/3.02 inference(monotonicity,[status(thm)],[870])).
% 2.73/3.02 tff(1377,plain,
% 2.73/3.02 (r(z, s(s(elem!1))) <=> r(z, s(s(s(z))))),
% 2.73/3.02 inference(symmetry,[status(thm)],[1376])).
% 2.73/3.02 tff(1378,plain,
% 2.73/3.02 (r(z, s(s(s(z))))),
% 2.73/3.02 inference(modus_ponens,[status(thm)],[165, 1377])).
% 2.73/3.02 tff(1379,plain,
% 2.73/3.02 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 2.73/3.02 inference(monotonicity,[status(thm)],[1350])).
% 2.73/3.02 tff(1380,plain,
% 2.73/3.02 (b(s(s(s(elem!1))), z) <=> b(s(s(s(s(z)))), z)),
% 2.73/3.02 inference(symmetry,[status(thm)],[1379])).
% 2.73/3.02 tff(1381,plain,
% 2.73/3.02 (~r(s(s(s(elem!1))), z)),
% 2.73/3.02 inference(unit_resolution,[status(thm)],[1309, 1294, 165])).
% 2.73/3.02 tff(1382,assumption,(~b(s(s(s(elem!1))), z)), introduced(assumption)).
% 2.73/3.02 tff(1383,plain,
% 2.73/3.02 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = z) | b(s(s(s(elem!1))), z) | r(s(s(s(elem!1))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = z) | b(s(s(s(elem!1))), z) | r(s(s(s(elem!1))), z))),
% 2.73/3.02 inference(rewrite,[status(thm)],[])).
% 2.73/3.02 tff(1384,plain,
% 2.73/3.02 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = z) | b(s(s(s(elem!1))), z) | r(s(s(s(elem!1))), z))),
% 2.73/3.02 inference(quant_inst,[status(thm)],[])).
% 2.73/3.02 tff(1385,plain,
% 2.73/3.02 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = z) | b(s(s(s(elem!1))), z) | r(s(s(s(elem!1))), z)),
% 2.86/3.02 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 2.86/3.02 tff(1386,plain,
% 2.86/3.02 ($false),
% 2.86/3.02 inference(unit_resolution,[status(thm)],[1385, 21, 1367, 1314, 1382])).
% 2.86/3.02 tff(1387,plain,(r(s(s(s(elem!1))), z) | b(s(s(s(elem!1))), z)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.02 tff(1388,plain,
% 2.86/3.02 (b(s(s(s(elem!1))), z)),
% 2.86/3.02 inference(unit_resolution,[status(thm)],[1387, 1381])).
% 2.86/3.02 tff(1389,plain,
% 2.86/3.02 (b(s(s(s(s(z)))), z)),
% 2.86/3.02 inference(modus_ponens,[status(thm)],[1388, 1380])).
% 2.86/3.02 tff(1390,plain,
% 2.86/3.02 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.02 inference(monotonicity,[status(thm)],[870])).
% 2.86/3.02 tff(1391,plain,
% 2.86/3.02 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 2.86/3.02 inference(symmetry,[status(thm)],[1390])).
% 2.86/3.02 tff(1392,plain,
% 2.86/3.02 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 2.86/3.02 inference(monotonicity,[status(thm)],[1350])).
% 2.86/3.02 tff(1393,plain,
% 2.86/3.02 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.02 inference(symmetry,[status(thm)],[1392])).
% 2.86/3.02 tff(1394,plain,
% 2.86/3.02 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 2.86/3.02 inference(transitivity,[status(thm)],[1393, 1391])).
% 2.86/3.02 tff(1395,plain,
% 2.86/3.02 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.86/3.02 inference(modus_ponens,[status(thm)],[1294, 1394])).
% 2.86/3.02 tff(1396,plain,
% 2.86/3.02 (b(s(z), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 2.86/3.02 inference(monotonicity,[status(thm)],[749])).
% 2.86/3.02 tff(1397,plain,
% 2.86/3.02 (b(elem!1, s(s(s(z)))) <=> b(s(z), s(s(s(z))))),
% 2.86/3.02 inference(symmetry,[status(thm)],[1396])).
% 2.86/3.02 tff(1398,plain,
% 2.86/3.02 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 2.86/3.02 inference(monotonicity,[status(thm)],[870])).
% 2.86/3.02 tff(1399,plain,
% 2.86/3.02 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(z))))),
% 2.86/3.02 inference(symmetry,[status(thm)],[1398])).
% 2.86/3.02 tff(1400,plain,
% 2.86/3.02 (b(elem!1, s(s(elem!1))) <=> b(s(z), s(s(s(z))))),
% 2.86/3.02 inference(transitivity,[status(thm)],[1399, 1397])).
% 2.86/3.02 tff(1401,plain,
% 2.86/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(elem!1, s(s(elem!1)))))),
% 2.86/3.02 inference(rewrite,[status(thm)],[])).
% 2.86/3.02 tff(1402,plain,
% 2.86/3.02 (((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1))) <=> ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(elem!1, s(s(elem!1)))))),
% 2.86/3.02 inference(rewrite,[status(thm)],[])).
% 2.86/3.02 tff(1403,plain,
% 2.86/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(elem!1, s(s(elem!1))))))),
% 2.86/3.02 inference(monotonicity,[status(thm)],[1402])).
% 2.86/3.02 tff(1404,plain,
% 2.86/3.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(elem!1, s(s(elem!1)))))),
% 2.86/3.02 inference(transitivity,[status(thm)],[1403, 1401])).
% 2.86/3.02 tff(1405,plain,
% 2.86/3.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)))),
% 2.86/3.02 inference(quant_inst,[status(thm)],[])).
% 2.86/3.02 tff(1406,plain,
% 2.86/3.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(elem!1, s(s(elem!1))))),
% 2.86/3.02 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 2.86/3.02 tff(1407,plain,
% 2.86/3.02 ($false),
% 2.86/3.02 inference(unit_resolution,[status(thm)],[1406, 82, 279, 1294, 1269])).
% 2.86/3.02 tff(1408,plain,((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.02 tff(1409,plain,
% 2.86/3.02 (~r(elem!1, s(s(elem!1)))),
% 2.86/3.02 inference(unit_resolution,[status(thm)],[1408, 1294, 1269])).
% 2.86/3.02 tff(1410,assumption,(~(s(s(s(s(z)))) = s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.02 tff(1411,plain,
% 2.86/3.02 ($false),
% 2.86/3.02 inference(unit_resolution,[status(thm)],[1410, 1350])).
% 2.86/3.02 tff(1412,plain,((~(s(z) = elem!1)) | (s(s(s(s(z)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.02 tff(1413,plain,
% 2.86/3.02 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 2.86/3.02 inference(unit_resolution,[status(thm)],[1412, 749])).
% 2.86/3.02 tff(1414,assumption,(elem!1 = s(s(elem!1))), introduced(assumption)).
% 2.86/3.02 tff(1415,plain,
% 2.86/3.02 (s(elem!1) = s(s(s(elem!1)))),
% 2.86/3.02 inference(monotonicity,[status(thm)],[1414])).
% 2.86/3.02 tff(1416,plain,
% 2.86/3.02 (s(s(s(elem!1))) = s(elem!1)),
% 2.86/3.02 inference(symmetry,[status(thm)],[1415])).
% 2.86/3.02 tff(1417,plain,
% 2.86/3.02 ($false),
% 2.86/3.02 inference(unit_resolution,[status(thm)],[222, 1416])).
% 2.86/3.02 tff(1418,plain,((~(elem!1 = s(s(elem!1)))) | (s(s(s(elem!1))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1419,plain,
% 2.86/3.03 (s(s(s(elem!1))) = s(elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1418, 1414])).
% 2.86/3.03 tff(1420,assumption,(s(s(s(s(z)))) = s(s(s(elem!1)))), introduced(assumption)).
% 2.86/3.03 tff(1421,plain,
% 2.86/3.03 (s(s(s(s(z)))) = s(elem!1)),
% 2.86/3.03 inference(transitivity,[status(thm)],[1420, 1419])).
% 2.86/3.03 tff(1422,plain,
% 2.86/3.03 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1421])).
% 2.86/3.03 tff(1423,plain,
% 2.86/3.03 (s(s(s(z))) = s(s(elem!1))),
% 2.86/3.03 inference(transitivity,[status(thm)],[45, 1422, 199, 1414])).
% 2.86/3.03 tff(1424,plain,
% 2.86/3.03 (inj_0(s(s(elem!1))) = inj_0(s(s(s(z))))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1232])).
% 2.86/3.03 tff(1425,plain,
% 2.86/3.03 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[875])).
% 2.86/3.03 tff(1426,plain,
% 2.86/3.03 (s(s(s(s(z)))) = s(s(z))),
% 2.86/3.03 inference(transitivity,[status(thm)],[1425, 213, 182, 1424, 52])).
% 2.86/3.03 tff(1427,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[60, 1426])).
% 2.86/3.03 tff(1428,plain,((~(s(s(s(z))) = s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1429,plain,
% 2.86/3.03 (~(s(s(s(z))) = s(s(elem!1)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1428, 1419])).
% 2.86/3.03 tff(1430,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1429, 1423])).
% 2.86/3.03 tff(1431,plain,((~(s(s(s(s(z)))) = s(s(s(elem!1))))) | (~(elem!1 = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1432,plain,
% 2.86/3.03 (~(elem!1 = s(s(elem!1)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1431, 1413])).
% 2.86/3.03 tff(1433,plain,
% 2.86/3.03 (b(elem!1, s(s(elem!1)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[321, 1432, 1409])).
% 2.86/3.03 tff(1434,plain,
% 2.86/3.03 (b(s(z), s(s(s(z))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1433, 1400])).
% 2.86/3.03 tff(1435,plain,
% 2.86/3.03 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 2.86/3.03 inference(monotonicity,[status(thm)],[749])).
% 2.86/3.03 tff(1436,plain,
% 2.86/3.03 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(z))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1435])).
% 2.86/3.03 tff(1437,plain,
% 2.86/3.03 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1350])).
% 2.86/3.03 tff(1438,plain,
% 2.86/3.03 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 2.86/3.03 inference(symmetry,[status(thm)],[1437])).
% 2.86/3.03 tff(1439,plain,
% 2.86/3.03 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), s(z))),
% 2.86/3.03 inference(transitivity,[status(thm)],[1438, 1436])).
% 2.86/3.03 tff(1440,plain,
% 2.86/3.03 (r(s(s(s(s(z)))), s(z))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1269, 1439])).
% 2.86/3.03 tff(1441,plain,
% 2.86/3.03 (b(s(s(s(z))), s(z)) <=> b(s(s(s(z))), elem!1)),
% 2.86/3.03 inference(monotonicity,[status(thm)],[749])).
% 2.86/3.03 tff(1442,plain,
% 2.86/3.03 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(z))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1441])).
% 2.86/3.03 tff(1443,plain,
% 2.86/3.03 (b(s(s(s(z))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 2.86/3.03 inference(monotonicity,[status(thm)],[870])).
% 2.86/3.03 tff(1444,plain,
% 2.86/3.03 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(z))), elem!1)),
% 2.86/3.03 inference(symmetry,[status(thm)],[1443])).
% 2.86/3.03 tff(1445,plain,
% 2.86/3.03 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(z))), s(z))),
% 2.86/3.03 inference(transitivity,[status(thm)],[1444, 1442])).
% 2.86/3.03 tff(1446,plain,
% 2.86/3.03 (~r(s(s(elem!1)), elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1299, 1294, 1269])).
% 2.86/3.03 tff(1447,plain,
% 2.86/3.03 (~(s(s(elem!1)) = elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[196, 1432])).
% 2.86/3.03 tff(1448,plain,
% 2.86/3.03 (b(s(s(elem!1)), elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[327, 1447, 1446])).
% 2.86/3.03 tff(1449,plain,
% 2.86/3.03 (b(s(s(s(z))), s(z))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1448, 1445])).
% 2.86/3.03 tff(1450,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1451,plain,
% 2.86/3.03 (((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1452,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z)))))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1451])).
% 2.86/3.03 tff(1453,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.86/3.03 inference(transitivity,[status(thm)],[1452, 1450])).
% 2.86/3.03 tff(1454,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1455,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 2.86/3.03 tff(1456,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1455, 82, 487, 1038, 71])).
% 2.86/3.03 tff(1457,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1458,plain,
% 2.86/3.03 (~r(s(s(z)), s(s(s(z))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1457, 71, 1038])).
% 2.86/3.03 tff(1459,plain,
% 2.86/3.03 (b(s(s(z)), s(s(s(z))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[534, 1458])).
% 2.86/3.03 tff(1460,plain,
% 2.86/3.03 (~b(s(s(z)), s(z))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[484, 456, 457, 458, 1459])).
% 2.86/3.03 tff(1461,plain,
% 2.86/3.03 (r(s(s(z)), s(z))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[472, 1460])).
% 2.86/3.03 tff(1462,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[462, 82, 108, 71, 1461])).
% 2.86/3.03 tff(1463,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1464,plain,
% 2.86/3.03 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1463, 1449, 1440, 1434, 1395])).
% 2.86/3.03 tff(1465,plain,
% 2.86/3.03 (b(s(s(s(s(z)))), s(s(z)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[68, 1464])).
% 2.86/3.03 tff(1466,plain,
% 2.86/3.03 (~r(s(s(z)), s(s(s(z))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[572, 1465, 1389, 1378, 1375])).
% 2.86/3.03 tff(1467,plain,
% 2.86/3.03 (b(s(s(z)), s(s(s(z))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[534, 1466])).
% 2.86/3.03 tff(1468,plain,
% 2.86/3.03 (b(s(elem!1), s(s(elem!1)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1467, 1349])).
% 2.86/3.03 tff(1469,plain,
% 2.86/3.03 (~(elem!1 = s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[231, 229])).
% 2.86/3.03 tff(1470,plain,
% 2.86/3.03 ((s(elem!1) = elem!1) <=> (elem!1 = s(elem!1))),
% 2.86/3.03 inference(commutativity,[status(thm)],[])).
% 2.86/3.03 tff(1471,plain,
% 2.86/3.03 (elem!1 = s(elem!1)),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[289, 1470])).
% 2.86/3.03 tff(1472,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[246, 1471])).
% 2.86/3.03 tff(1473,plain,((~(s(elem!1) = elem!1)) | (elem!1 = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1474,plain,
% 2.86/3.03 (~(s(elem!1) = elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1473, 1469])).
% 2.86/3.03 tff(1475,assumption,(~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.03 tff(1476,plain,
% 2.86/3.03 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1350])).
% 2.86/3.03 tff(1477,plain,
% 2.86/3.03 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1476])).
% 2.86/3.03 tff(1478,plain,
% 2.86/3.03 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1477])).
% 2.86/3.03 tff(1479,plain,
% 2.86/3.03 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[869])).
% 2.86/3.03 tff(1480,plain,
% 2.86/3.03 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.03 inference(transitivity,[status(thm)],[1479, 1478])).
% 2.86/3.03 tff(1481,plain,
% 2.86/3.03 (b(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1465, 1480])).
% 2.86/3.03 tff(1482,assumption,(~(s(elem!1) = s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.03 tff(1483,plain,
% 2.86/3.03 (~(z = elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1316, 1381, 1269])).
% 2.86/3.03 tff(1484,plain,
% 2.86/3.03 (s(s(s(z))) = s(s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[873, 749])).
% 2.86/3.03 tff(1485,plain,
% 2.86/3.03 (~(s(s(s(elem!1))) = s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1428, 1484])).
% 2.86/3.03 tff(1486,assumption,(s(s(s(s(elem!1)))) = s(s(elem!1))), introduced(assumption)).
% 2.86/3.03 tff(1487,plain,
% 2.86/3.03 (inj_0(s(s(s(s(elem!1))))) = inj_0(s(s(elem!1)))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1486])).
% 2.86/3.03 tff(1488,plain,
% 2.86/3.03 (s(s(s(elem!1))) = s(elem!1)),
% 2.86/3.03 inference(transitivity,[status(thm)],[1325, 1487, 181])).
% 2.86/3.03 tff(1489,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[222, 1488])).
% 2.86/3.03 tff(1490,plain,((~(s(s(s(s(elem!1)))) = s(s(elem!1)))) | (s(s(s(elem!1))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1491,plain,
% 2.86/3.03 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1490, 1485])).
% 2.86/3.03 tff(1492,plain,
% 2.86/3.03 ((s(s(s(s(elem!1)))) = s(s(elem!1))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 2.86/3.03 inference(commutativity,[status(thm)],[])).
% 2.86/3.03 tff(1493,plain,
% 2.86/3.03 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1492])).
% 2.86/3.03 tff(1494,assumption,(s(s(elem!1)) = s(s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.03 tff(1495,plain,
% 2.86/3.03 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 2.86/3.03 tff(1496,assumption,(~(s(s(s(s(elem!1)))) = s(s(elem!1)))), introduced(assumption)).
% 2.86/3.03 tff(1497,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1496, 1495])).
% 2.86/3.03 tff(1498,plain,((~(s(s(elem!1)) = s(s(s(s(elem!1)))))) | (s(s(s(s(elem!1)))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1499,plain,
% 2.86/3.03 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1498, 1491])).
% 2.86/3.03 tff(1500,assumption,(b(s(s(s(elem!1))), s(elem!1))), introduced(assumption)).
% 2.86/3.03 tff(1501,plain,
% 2.86/3.03 (~(s(elem!1) = s(s(s(elem!1))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[209, 1447])).
% 2.86/3.03 tff(1502,assumption,(r(s(elem!1), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.03 tff(1503,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1504,plain,
% 2.86/3.03 (((~r(s(s(s(elem!1))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1)))))) <=> ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1505,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1504])).
% 2.86/3.03 tff(1506,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)))),
% 2.86/3.03 inference(transitivity,[status(thm)],[1505, 1503])).
% 2.86/3.03 tff(1507,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1508,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 2.86/3.03 tff(1509,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1508, 82, 295, 1269, 1502])).
% 2.86/3.03 tff(1510,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1511,plain,
% 2.86/3.03 (~r(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1510, 295, 1269])).
% 2.86/3.03 tff(1512,plain,
% 2.86/3.03 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(elem!1)))) | b(s(elem!1), s(s(s(elem!1)))) | r(s(elem!1), s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(elem!1)))) | b(s(elem!1), s(s(s(elem!1)))) | r(s(elem!1), s(s(s(elem!1)))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1513,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(elem!1)))) | b(s(elem!1), s(s(s(elem!1)))) | r(s(elem!1), s(s(s(elem!1)))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1514,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(elem!1)))) | b(s(elem!1), s(s(s(elem!1)))) | r(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 2.86/3.03 tff(1515,plain,
% 2.86/3.03 ((s(elem!1) = s(s(s(elem!1)))) | b(s(elem!1), s(s(s(elem!1)))) | r(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1514, 21])).
% 2.86/3.03 tff(1516,plain,
% 2.86/3.03 (b(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1515, 1511, 1501])).
% 2.86/3.03 tff(1517,plain,
% 2.86/3.03 (elem!1 = s(z)),
% 2.86/3.03 inference(symmetry,[status(thm)],[749])).
% 2.86/3.03 tff(1518,plain,
% 2.86/3.03 (r(s(s(s(s(elem!1)))), elem!1) <=> r(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1517])).
% 2.86/3.03 tff(1519,plain,
% 2.86/3.03 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.03 inference(symmetry,[status(thm)],[1518])).
% 2.86/3.03 tff(1520,assumption,(r(s(s(s(s(elem!1)))), s(z))), introduced(assumption)).
% 2.86/3.03 tff(1521,plain,
% 2.86/3.03 (r(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1520, 1519])).
% 2.86/3.03 tff(1522,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1523,plain,
% 2.86/3.03 (((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1))))))) <=> ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1524,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1523])).
% 2.86/3.03 tff(1525,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.03 inference(transitivity,[status(thm)],[1524, 1522])).
% 2.86/3.03 tff(1526,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1527,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 2.86/3.03 tff(1528,plain,
% 2.86/3.03 ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1527, 82, 295])).
% 2.86/3.03 tff(1529,plain,
% 2.86/3.03 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1528, 1521])).
% 2.86/3.03 tff(1530,plain,
% 2.86/3.03 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(elem!1))))) | b(s(elem!1), s(s(s(s(elem!1))))) | r(s(elem!1), s(s(s(s(elem!1))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(elem!1))))) | b(s(elem!1), s(s(s(s(elem!1))))) | r(s(elem!1), s(s(s(s(elem!1))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1531,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(elem!1))))) | b(s(elem!1), s(s(s(s(elem!1))))) | r(s(elem!1), s(s(s(s(elem!1))))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1532,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(elem!1))))) | b(s(elem!1), s(s(s(s(elem!1))))) | r(s(elem!1), s(s(s(s(elem!1)))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 2.86/3.03 tff(1533,plain,
% 2.86/3.03 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1532, 21, 1482, 1529])).
% 2.86/3.03 tff(1534,plain,
% 2.86/3.03 ((s(s(s(s(elem!1)))) = s(elem!1)) <=> (s(elem!1) = s(s(s(s(elem!1)))))),
% 2.86/3.03 inference(commutativity,[status(thm)],[])).
% 2.86/3.03 tff(1535,plain,
% 2.86/3.03 ((s(elem!1) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = s(elem!1))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1534])).
% 2.86/3.03 tff(1536,plain,
% 2.86/3.03 ((~(s(elem!1) = s(s(s(s(elem!1)))))) <=> (~(s(s(s(s(elem!1)))) = s(elem!1)))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1535])).
% 2.86/3.03 tff(1537,plain,
% 2.86/3.03 (~(s(s(s(s(elem!1)))) = s(elem!1))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1482, 1536])).
% 2.86/3.03 tff(1538,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1539,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1540,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(elem!1)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 2.86/3.03 tff(1541,plain,
% 2.86/3.03 ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(elem!1)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1540, 82, 295])).
% 2.86/3.03 tff(1542,plain,
% 2.86/3.03 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1541, 1521])).
% 2.86/3.03 tff(1543,plain,
% 2.86/3.03 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(elem!1)) | b(s(s(s(s(elem!1)))), s(elem!1)) | r(s(s(s(s(elem!1)))), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(elem!1)) | b(s(s(s(s(elem!1)))), s(elem!1)) | r(s(s(s(s(elem!1)))), s(elem!1)))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1544,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(elem!1)) | b(s(s(s(s(elem!1)))), s(elem!1)) | r(s(s(s(s(elem!1)))), s(elem!1)))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1545,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(elem!1)) | b(s(s(s(s(elem!1)))), s(elem!1)) | r(s(s(s(s(elem!1)))), s(elem!1))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1544, 1543])).
% 2.86/3.03 tff(1546,plain,
% 2.86/3.03 ((s(s(s(s(elem!1)))) = s(elem!1)) | b(s(s(s(s(elem!1)))), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1545, 21, 1542])).
% 2.86/3.03 tff(1547,plain,
% 2.86/3.03 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1546, 1537])).
% 2.86/3.03 tff(1548,assumption,(r(s(s(s(s(elem!1)))), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.03 tff(1549,plain,
% 2.86/3.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1550,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1551,plain,
% 2.86/3.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 2.86/3.03 tff(1552,plain,
% 2.86/3.03 (~r(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1551, 82, 1269, 1548])).
% 2.86/3.03 tff(1553,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1552, 1521])).
% 2.86/3.03 tff(1554,plain,((~r(s(s(s(s(elem!1)))), s(z))) | (~(s(z) = elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1555,plain,
% 2.86/3.03 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1554, 1520, 1269, 749])).
% 2.86/3.03 tff(1556,assumption,(~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.03 tff(1557,assumption,(~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.03 tff(1558,plain,
% 2.86/3.03 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) | r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) | r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1559,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) | r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1560,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) | r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 2.86/3.03 tff(1561,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1560, 21, 1557, 1475, 1556])).
% 2.86/3.03 tff(1562,plain,(r(s(s(s(s(elem!1)))), s(s(s(elem!1)))) | b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1563,plain,
% 2.86/3.03 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1562, 1555, 1475])).
% 2.86/3.03 tff(1564,assumption,(b(s(elem!1), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.03 tff(1565,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1566,plain,
% 2.86/3.03 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1567,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1))))))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1566])).
% 2.86/3.03 tff(1568,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 2.86/3.03 inference(transitivity,[status(thm)],[1567, 1565])).
% 2.86/3.03 tff(1569,plain,
% 2.86/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(1570,plain,
% 2.86/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1))))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 2.86/3.03 tff(1571,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1570, 338, 1500, 1564, 1563, 1547, 1533])).
% 2.86/3.03 tff(1572,plain,((~r(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~(s(z) = elem!1)) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1573,plain,
% 2.86/3.03 (~r(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1572, 1516, 749, 1482, 1500, 295, 1475, 1269])).
% 2.86/3.03 tff(1574,assumption,(s(s(s(s(elem!1)))) = s(z)), introduced(assumption)).
% 2.86/3.03 tff(1575,plain,
% 2.86/3.03 (s(z) = s(s(s(s(elem!1))))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1574])).
% 2.86/3.03 tff(1576,plain,
% 2.86/3.03 (inj_0(s(z)) = inj_0(s(s(s(s(elem!1)))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[1575])).
% 2.86/3.03 tff(1577,plain,
% 2.86/3.03 (inj_0(s(s(s(s(elem!1))))) = inj_0(s(z))),
% 2.86/3.03 inference(symmetry,[status(thm)],[1576])).
% 2.86/3.03 tff(1578,plain,
% 2.86/3.03 (s(s(s(elem!1))) = z),
% 2.86/3.03 inference(transitivity,[status(thm)],[1325, 1577, 48])).
% 2.86/3.03 tff(1579,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1367, 1578])).
% 2.86/3.03 tff(1580,plain,(~(s(s(s(s(elem!1)))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(1581,plain,
% 2.86/3.03 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(z)) | b(s(s(s(s(elem!1)))), s(z)) | r(s(s(s(s(elem!1)))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(z)) | b(s(s(s(s(elem!1)))), s(z)) | r(s(s(s(s(elem!1)))), s(z)))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(1582,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(z)) | b(s(s(s(s(elem!1)))), s(z)) | r(s(s(s(s(elem!1)))), s(z)))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1583,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(z)) | b(s(s(s(s(elem!1)))), s(z)) | r(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 2.86/3.04 tff(1584,plain,
% 2.86/3.04 ((s(s(s(s(elem!1)))) = s(z)) | b(s(s(s(s(elem!1)))), s(z)) | r(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1583, 21])).
% 2.86/3.04 tff(1585,plain,
% 2.86/3.04 (b(s(s(s(s(elem!1)))), s(z)) | r(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1584, 1580])).
% 2.86/3.04 tff(1586,plain,
% 2.86/3.04 (b(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1585, 1573])).
% 2.86/3.04 tff(1587,plain,
% 2.86/3.04 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[1517])).
% 2.86/3.04 tff(1588,plain,
% 2.86/3.04 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.04 inference(symmetry,[status(thm)],[1587])).
% 2.86/3.04 tff(1589,assumption,(b(s(s(s(s(elem!1)))), s(z))), introduced(assumption)).
% 2.86/3.04 tff(1590,plain,
% 2.86/3.04 (b(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 2.86/3.04 tff(1591,assumption,(~b(s(s(s(s(elem!1)))), elem!1)), introduced(assumption)).
% 2.86/3.04 tff(1592,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1591, 1590])).
% 2.86/3.04 tff(1593,plain,(b(s(s(s(s(elem!1)))), elem!1) | (~b(s(s(s(s(elem!1)))), s(z))) | (~(s(z) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(1594,plain,
% 2.86/3.04 (b(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1593, 1586, 749])).
% 2.86/3.04 tff(1595,assumption,(b(z, s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.04 tff(1596,assumption,(b(s(s(s(elem!1))), z)), introduced(assumption)).
% 2.86/3.04 tff(1597,assumption,(b(z, s(elem!1))), introduced(assumption)).
% 2.86/3.04 tff(1598,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1599,plain,
% 2.86/3.04 (((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1600,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1)))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[1599])).
% 2.86/3.04 tff(1601,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[1600, 1598])).
% 2.86/3.04 tff(1602,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1603,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1)))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 2.86/3.04 tff(1604,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1603, 338, 1500, 1595, 1596, 1597, 1564])).
% 2.86/3.04 tff(1605,plain,((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(1606,plain,
% 2.86/3.04 (~b(z, s(elem!1))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1605, 1516, 1596, 1595, 1500])).
% 2.86/3.04 tff(1607,plain,
% 2.86/3.04 ((z = s(elem!1)) <=> (s(elem!1) = z)),
% 2.86/3.04 inference(commutativity,[status(thm)],[])).
% 2.86/3.04 tff(1608,plain,
% 2.86/3.04 ((s(elem!1) = z) <=> (z = s(elem!1))),
% 2.86/3.04 inference(symmetry,[status(thm)],[1607])).
% 2.86/3.04 tff(1609,plain,
% 2.86/3.04 ((~(s(elem!1) = z)) <=> (~(z = s(elem!1)))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[1608])).
% 2.86/3.04 tff(1610,plain,
% 2.86/3.04 (~(z = s(elem!1))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[736, 1609])).
% 2.86/3.04 tff(1611,plain,
% 2.86/3.04 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(elem!1)) | b(z, s(elem!1)) | r(z, s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(elem!1)) | b(z, s(elem!1)) | r(z, s(elem!1)))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1612,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(elem!1)) | b(z, s(elem!1)) | r(z, s(elem!1)))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1613,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(elem!1)) | b(z, s(elem!1)) | r(z, s(elem!1))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 2.86/3.04 tff(1614,plain,
% 2.86/3.04 ((z = s(elem!1)) | b(z, s(elem!1)) | r(z, s(elem!1))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1613, 21])).
% 2.86/3.04 tff(1615,plain,
% 2.86/3.04 (b(z, s(elem!1)) | r(z, s(elem!1))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1614, 1610])).
% 2.86/3.04 tff(1616,plain,
% 2.86/3.04 (r(z, s(elem!1))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1615, 1606])).
% 2.86/3.04 tff(1617,plain,
% 2.86/3.04 (~r(z, elem!1)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[303, 1616, 295])).
% 2.86/3.04 tff(1618,plain,
% 2.86/3.04 (b(z, elem!1)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[353, 1617, 714])).
% 2.86/3.04 tff(1619,plain,
% 2.86/3.04 (~(elem!1 = z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[716, 714])).
% 2.86/3.04 tff(1620,assumption,(b(s(elem!1), s(s(elem!1)))), introduced(assumption)).
% 2.86/3.04 tff(1621,assumption,(b(s(s(s(s(elem!1)))), elem!1)), introduced(assumption)).
% 2.86/3.04 tff(1622,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1623,plain,
% 2.86/3.04 (((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1624,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[1623])).
% 2.86/3.04 tff(1625,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.04 inference(transitivity,[status(thm)],[1624, 1622])).
% 2.86/3.04 tff(1626,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1627,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1626, 1625])).
% 2.86/3.04 tff(1628,plain,
% 2.86/3.04 ((~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1627, 338, 1021, 762, 1620, 1621])).
% 2.86/3.04 tff(1629,plain,
% 2.86/3.04 (~b(s(s(s(s(elem!1)))), z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1628, 315])).
% 2.86/3.04 tff(1630,assumption,(~r(s(s(s(s(elem!1)))), z)), introduced(assumption)).
% 2.86/3.04 tff(1631,assumption,(~b(s(s(s(s(elem!1)))), z)), introduced(assumption)).
% 2.86/3.04 tff(1632,plain,
% 2.86/3.04 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(elem!1)))) = z))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1633,plain,
% 2.86/3.04 (~(s(s(s(s(elem!1)))) = z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1632, 9])).
% 2.86/3.04 tff(1634,plain,
% 2.86/3.04 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = z) | b(s(s(s(s(elem!1)))), z) | r(s(s(s(s(elem!1)))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = z) | b(s(s(s(s(elem!1)))), z) | r(s(s(s(s(elem!1)))), z))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1635,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = z) | b(s(s(s(s(elem!1)))), z) | r(s(s(s(s(elem!1)))), z))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1636,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = z) | b(s(s(s(s(elem!1)))), z) | r(s(s(s(s(elem!1)))), z)),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1635, 1634])).
% 2.86/3.04 tff(1637,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1636, 21, 1633, 1631, 1630])).
% 2.86/3.04 tff(1638,plain,(r(s(s(s(s(elem!1)))), z) | b(s(s(s(s(elem!1)))), z)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(1639,plain,
% 2.86/3.04 (r(s(s(s(s(elem!1)))), z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1638, 1629])).
% 2.86/3.04 tff(1640,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1641,plain,
% 2.86/3.04 (((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1642,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[1641])).
% 2.86/3.04 tff(1643,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.04 inference(transitivity,[status(thm)],[1642, 1640])).
% 2.86/3.04 tff(1644,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1645,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 2.86/3.04 tff(1646,plain,
% 2.86/3.04 ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1645, 338, 763, 762, 1620, 1621])).
% 2.86/3.04 tff(1647,plain,
% 2.86/3.04 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1646, 315])).
% 2.86/3.04 tff(1648,plain,
% 2.86/3.04 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(elem!1))) | b(s(s(s(s(elem!1)))), s(s(elem!1))) | r(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | b(s(s(s(s(elem!1)))), s(s(elem!1))) | r(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1649,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(elem!1))) | b(s(s(s(s(elem!1)))), s(s(elem!1))) | r(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1650,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | b(s(s(s(s(elem!1)))), s(s(elem!1))) | r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 2.86/3.04 tff(1651,plain,
% 2.86/3.04 ((s(s(s(s(elem!1)))) = s(s(elem!1))) | b(s(s(s(s(elem!1)))), s(s(elem!1))) | r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1650, 21])).
% 2.86/3.04 tff(1652,plain,
% 2.86/3.04 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1651, 1647, 1496])).
% 2.86/3.04 tff(1653,assumption,(r(s(s(s(s(elem!1)))), s(s(elem!1)))), introduced(assumption)).
% 2.86/3.04 tff(1654,assumption,(r(s(s(s(s(elem!1)))), z)), introduced(assumption)).
% 2.86/3.04 tff(1655,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(s(elem!1)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1656,plain,
% 2.86/3.04 (((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z))) <=> ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(s(elem!1)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1657,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(s(elem!1))))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[1656])).
% 2.86/3.04 tff(1658,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(s(elem!1)))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[1657, 1655])).
% 2.86/3.04 tff(1659,plain,
% 2.86/3.04 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1660,plain,
% 2.86/3.04 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(s(elem!1))))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 2.86/3.04 tff(1661,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1660, 82, 165, 1654, 1653])).
% 2.86/3.04 tff(1662,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(1663,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1662, 1652, 1639, 165])).
% 2.86/3.04 tff(1664,plain,((~b(elem!1, s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(1665,plain,
% 2.86/3.04 (~b(elem!1, s(elem!1))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1664, 1594, 1491, 763, 762, 1620, 165, 1618])).
% 2.86/3.04 tff(1666,plain,
% 2.86/3.04 (r(elem!1, s(elem!1))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[252, 1665, 246])).
% 2.86/3.04 tff(1667,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1668,plain,
% 2.86/3.04 (((~r(z, s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, z))) <=> ((~r(z, s(elem!1))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1669,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1)))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[1668])).
% 2.86/3.04 tff(1670,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[1669, 1667])).
% 2.86/3.04 tff(1671,plain,
% 2.86/3.04 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, z)))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1672,plain,
% 2.86/3.04 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1)))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 2.86/3.04 tff(1673,plain,
% 2.86/3.04 ((~r(z, s(elem!1))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1672, 82])).
% 2.86/3.04 tff(1674,plain,
% 2.86/3.04 (~r(elem!1, z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1673, 1666, 1616])).
% 2.86/3.04 tff(1675,plain,
% 2.86/3.04 (b(elem!1, z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[846, 1674, 1619])).
% 2.86/3.04 tff(1676,plain,
% 2.86/3.04 (~r(s(s(s(s(elem!1)))), z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1662, 1653, 165])).
% 2.86/3.04 tff(1677,plain,
% 2.86/3.04 (b(s(s(s(s(elem!1)))), z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1638, 1676])).
% 2.86/3.04 tff(1678,assumption,(r(z, s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.04 tff(1679,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1680,plain,
% 2.86/3.04 (((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(elem!1))))))) <=> ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1681,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[1680])).
% 2.86/3.04 tff(1682,plain,
% 2.86/3.04 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[1681, 1679])).
% 2.86/3.04 tff(1683,plain,
% 2.86/3.04 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(elem!1)))))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1684,plain,
% 2.86/3.04 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 2.86/3.04 tff(1685,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1684, 82, 165, 1653, 1678])).
% 2.86/3.04 tff(1686,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(1687,plain,
% 2.86/3.04 (~r(z, s(s(s(s(elem!1)))))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1686, 1653, 165])).
% 2.86/3.04 tff(1688,assumption,(z = s(s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.04 tff(1689,plain,
% 2.86/3.04 (s(s(s(s(elem!1)))) = z),
% 2.86/3.04 inference(symmetry,[status(thm)],[1688])).
% 2.86/3.04 tff(1690,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1633, 1689])).
% 2.86/3.04 tff(1691,plain,(~(z = s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(1692,assumption,(~r(z, s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.04 tff(1693,assumption,(~b(z, s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.04 tff(1694,plain,
% 2.86/3.04 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(elem!1))))) | b(z, s(s(s(s(elem!1))))) | r(z, s(s(s(s(elem!1))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(elem!1))))) | b(z, s(s(s(s(elem!1))))) | r(z, s(s(s(s(elem!1))))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(1695,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(elem!1))))) | b(z, s(s(s(s(elem!1))))) | r(z, s(s(s(s(elem!1))))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(1696,plain,
% 2.86/3.04 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(elem!1))))) | b(z, s(s(s(s(elem!1))))) | r(z, s(s(s(s(elem!1)))))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[1695, 1694])).
% 2.86/3.04 tff(1697,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1696, 21, 1693, 1692, 1691])).
% 2.86/3.04 tff(1698,plain,(b(z, s(s(s(s(elem!1))))) | r(z, s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(1699,plain,
% 2.86/3.04 (b(z, s(s(s(s(elem!1)))))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[1698, 1687])).
% 2.86/3.04 tff(1700,assumption,(b(s(s(s(s(elem!1)))), z)), introduced(assumption)).
% 2.86/3.04 tff(1701,assumption,(b(z, s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.05 tff(1702,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1703,plain,
% 2.86/3.05 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1704,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1703])).
% 2.86/3.05 tff(1705,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(transitivity,[status(thm)],[1704, 1702])).
% 2.86/3.05 tff(1706,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(1707,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1706, 1705])).
% 2.86/3.05 tff(1708,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1707, 338, 1021, 1131, 1701, 1700, 1621])).
% 2.86/3.05 tff(1709,plain,((~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(1710,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1709, 1699, 1677, 1131, 1021, 1621])).
% 2.86/3.05 tff(1711,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(1712,plain,
% 2.86/3.05 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1711, 1675, 1618, 1594, 165])).
% 2.86/3.05 tff(1713,plain,
% 2.86/3.05 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1651, 1712, 1491])).
% 2.86/3.05 tff(1714,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1715,plain,
% 2.86/3.05 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1716,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1715])).
% 2.86/3.05 tff(1717,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(transitivity,[status(thm)],[1716, 1714])).
% 2.86/3.05 tff(1718,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(1719,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 2.86/3.05 tff(1720,plain,
% 2.86/3.05 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1719, 338, 763, 762, 1713, 1594])).
% 2.86/3.05 tff(1721,plain,
% 2.86/3.05 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(s(elem!1))))) | b(s(s(elem!1)), s(s(s(s(elem!1))))) | r(s(s(elem!1)), s(s(s(s(elem!1))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(s(elem!1))))) | b(s(s(elem!1)), s(s(s(s(elem!1))))) | r(s(s(elem!1)), s(s(s(s(elem!1))))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1722,plain,
% 2.86/3.05 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(s(elem!1))))) | b(s(s(elem!1)), s(s(s(s(elem!1))))) | r(s(s(elem!1)), s(s(s(s(elem!1))))))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(1723,plain,
% 2.86/3.05 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(s(elem!1))))) | b(s(s(elem!1)), s(s(s(s(elem!1))))) | r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 2.86/3.05 tff(1724,plain,
% 2.86/3.05 ((s(s(elem!1)) = s(s(s(s(elem!1))))) | b(s(s(elem!1)), s(s(s(s(elem!1))))) | r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1723, 21])).
% 2.86/3.05 tff(1725,plain,
% 2.86/3.05 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1724, 1720, 1499])).
% 2.86/3.05 tff(1726,plain,
% 2.86/3.05 (r(z, s(z)) <=> r(z, elem!1)),
% 2.86/3.05 inference(monotonicity,[status(thm)],[749])).
% 2.86/3.05 tff(1727,plain,
% 2.86/3.05 (r(z, elem!1) <=> r(z, s(z))),
% 2.86/3.05 inference(symmetry,[status(thm)],[1726])).
% 2.86/3.05 tff(1728,plain,
% 2.86/3.05 ((~r(z, elem!1)) <=> (~r(z, s(z)))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1727])).
% 2.86/3.05 tff(1729,assumption,(~r(z, elem!1)), introduced(assumption)).
% 2.86/3.05 tff(1730,plain,
% 2.86/3.05 (~r(z, s(z))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1729, 1728])).
% 2.86/3.05 tff(1731,assumption,(r(z, s(z))), introduced(assumption)).
% 2.86/3.05 tff(1732,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1731, 1730])).
% 2.86/3.05 tff(1733,plain,((~(s(z) = elem!1)) | (~r(z, s(z))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(1734,plain,
% 2.86/3.05 (~r(z, s(z))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1733, 1617, 749])).
% 2.86/3.05 tff(1735,plain,
% 2.86/3.05 (b(z, s(z))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[403, 1734])).
% 2.86/3.05 tff(1736,plain,
% 2.86/3.05 (b(s(z), s(s(s(z))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[762, 1400])).
% 2.86/3.05 tff(1737,plain,
% 2.86/3.05 (b(s(s(s(z))), s(z))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[763, 1445])).
% 2.86/3.05 tff(1738,plain,
% 2.86/3.05 (~r(s(z), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[867, 1674, 749])).
% 2.86/3.05 tff(1739,plain,
% 2.86/3.05 (b(s(z), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[26, 1738])).
% 2.86/3.05 tff(1740,assumption,(b(s(z), z)), introduced(assumption)).
% 2.86/3.05 tff(1741,assumption,(b(s(s(s(z))), z)), introduced(assumption)).
% 2.86/3.05 tff(1742,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1743,plain,
% 2.86/3.05 (((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1744,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z)))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1743])).
% 2.86/3.05 tff(1745,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))))),
% 2.86/3.05 inference(transitivity,[status(thm)],[1744, 1742])).
% 2.86/3.05 tff(1746,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(1747,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z)))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 2.86/3.05 tff(1748,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1747, 338, 486, 457, 1741, 1740, 458])).
% 2.86/3.05 tff(1749,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(1750,plain,
% 2.86/3.05 (~b(s(s(s(z))), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1749, 1739, 1737, 1736, 1735])).
% 2.86/3.05 tff(1751,plain,
% 2.86/3.05 (r(s(s(s(z))), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[135, 1750])).
% 2.86/3.05 tff(1752,plain,
% 2.86/3.05 (r(s(s(s(z))), s(s(s(s(elem!1))))) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[870])).
% 2.86/3.05 tff(1753,plain,
% 2.86/3.05 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(symmetry,[status(thm)],[1752])).
% 2.86/3.05 tff(1754,plain,
% 2.86/3.05 (r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1725, 1753])).
% 2.86/3.05 tff(1755,assumption,(r(s(s(s(z))), s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.05 tff(1756,plain,
% 2.86/3.05 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), z)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1757,plain,
% 2.86/3.05 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), z)))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(1758,plain,
% 2.86/3.05 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), z))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 2.86/3.05 tff(1759,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1758, 82, 1678, 426, 1755])).
% 2.86/3.05 tff(1760,plain,((~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(1761,plain,
% 2.86/3.05 (~r(z, s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1760, 1754, 1751])).
% 2.86/3.05 tff(1762,plain,
% 2.86/3.05 (b(z, s(s(s(s(elem!1)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1698, 1761])).
% 2.86/3.05 tff(1763,plain,
% 2.86/3.05 (~b(s(s(s(s(elem!1)))), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1709, 1762, 1675, 1618, 1594])).
% 2.86/3.05 tff(1764,plain,
% 2.86/3.05 (r(s(s(s(s(elem!1)))), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1638, 1763])).
% 2.86/3.05 tff(1765,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1766,plain,
% 2.86/3.05 (((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1767,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1766])).
% 2.86/3.05 tff(1768,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(transitivity,[status(thm)],[1767, 1765])).
% 2.86/3.05 tff(1769,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(1770,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 2.86/3.05 tff(1771,plain,
% 2.86/3.05 (~b(s(s(elem!1)), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1770, 338, 1618, 763, 762, 1713, 1594])).
% 2.86/3.05 tff(1772,plain,
% 2.86/3.05 (r(s(s(elem!1)), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[800, 1771])).
% 2.86/3.05 tff(1773,plain,
% 2.86/3.05 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1774,plain,
% 2.86/3.05 (((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(elem!1))))))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1775,plain,
% 2.86/3.05 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1774])).
% 2.86/3.05 tff(1776,plain,
% 2.86/3.05 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z)))),
% 2.86/3.05 inference(transitivity,[status(thm)],[1775, 1773])).
% 2.86/3.05 tff(1777,plain,
% 2.86/3.05 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(1778,plain,
% 2.86/3.05 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(elem!1)), z))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 2.86/3.05 tff(1779,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1778, 82, 1772, 1764, 1725])).
% 2.86/3.05 tff(1780,plain,((~r(s(elem!1), elem!1)) | (~(s(z) = elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (z = elem!1) | (s(elem!1) = s(s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(1781,plain,
% 2.86/3.05 (~r(s(elem!1), elem!1)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1780, 749, 1448, 1433, 165, 1469, 1468, 1483, 1482, 1481, 1475, 1269, 1388, 1374])).
% 2.86/3.05 tff(1782,plain,
% 2.86/3.05 (b(s(elem!1), elem!1)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[312, 1781, 1474])).
% 2.86/3.05 tff(1783,assumption,(s(elem!1) = s(s(elem!1))), introduced(assumption)).
% 2.86/3.05 tff(1784,plain,
% 2.86/3.05 (s(s(elem!1)) = s(elem!1)),
% 2.86/3.05 inference(symmetry,[status(thm)],[1783])).
% 2.86/3.05 tff(1785,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[229, 1784])).
% 2.86/3.05 tff(1786,plain,((~(s(elem!1) = s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(1787,plain,
% 2.86/3.05 (~(s(elem!1) = s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1786, 229])).
% 2.86/3.05 tff(1788,assumption,(~(s(elem!1) = s(s(elem!1)))), introduced(assumption)).
% 2.86/3.05 tff(1789,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1790,plain,
% 2.86/3.05 (((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(1791,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1790])).
% 2.86/3.05 tff(1792,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 2.86/3.06 inference(transitivity,[status(thm)],[1791, 1789])).
% 2.86/3.06 tff(1793,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1794,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 2.86/3.06 tff(1795,plain,
% 2.86/3.06 (~b(s(elem!1), s(s(elem!1)))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1794, 338, 1500, 763, 1596, 1597, 314])).
% 2.86/3.06 tff(1796,assumption,(b(s(elem!1), z)), introduced(assumption)).
% 2.86/3.06 tff(1797,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1798,plain,
% 2.86/3.06 (((~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1799,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1798])).
% 2.86/3.06 tff(1800,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 2.86/3.06 inference(transitivity,[status(thm)],[1799, 1797])).
% 2.86/3.06 tff(1801,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1802,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 2.86/3.06 tff(1803,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1802, 338, 1500, 1595, 1596, 1597, 1796])).
% 2.86/3.06 tff(1804,plain,((~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1805,plain,
% 2.86/3.06 (~b(s(elem!1), z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1804, 1500, 1595, 1596, 1597])).
% 2.86/3.06 tff(1806,assumption,(~b(s(elem!1), z)), introduced(assumption)).
% 2.86/3.06 tff(1807,assumption,(~r(s(elem!1), z)), introduced(assumption)).
% 2.86/3.06 tff(1808,plain,
% 2.86/3.06 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = z) | b(s(elem!1), z) | r(s(elem!1), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = z) | b(s(elem!1), z) | r(s(elem!1), z))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1809,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = z) | b(s(elem!1), z) | r(s(elem!1), z))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1810,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = z) | b(s(elem!1), z) | r(s(elem!1), z)),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 2.86/3.06 tff(1811,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1810, 21, 736, 1807, 1806])).
% 2.86/3.06 tff(1812,plain,(b(s(elem!1), z) | r(s(elem!1), z)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1813,plain,
% 2.86/3.06 (r(s(elem!1), z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1812, 1805])).
% 2.86/3.06 tff(1814,assumption,(r(s(elem!1), s(s(elem!1)))), introduced(assumption)).
% 2.86/3.06 tff(1815,assumption,(r(s(elem!1), z)), introduced(assumption)).
% 2.86/3.06 tff(1816,plain,
% 2.86/3.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1817,plain,
% 2.86/3.06 (((~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z))) <=> ((~r(s(elem!1), z)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1818,plain,
% 2.86/3.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1817])).
% 2.86/3.06 tff(1819,plain,
% 2.86/3.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 2.86/3.06 inference(transitivity,[status(thm)],[1818, 1816])).
% 2.86/3.06 tff(1820,plain,
% 2.86/3.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1821,plain,
% 2.86/3.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 2.86/3.06 tff(1822,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1821, 82, 1815, 165, 1814])).
% 2.86/3.06 tff(1823,plain,((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1824,plain,
% 2.86/3.06 (~r(s(elem!1), s(s(elem!1)))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1823, 1813, 165])).
% 2.86/3.06 tff(1825,plain,
% 2.86/3.06 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(elem!1))) | b(s(elem!1), s(s(elem!1))) | r(s(elem!1), s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(elem!1))) | b(s(elem!1), s(s(elem!1))) | r(s(elem!1), s(s(elem!1))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1826,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(elem!1))) | b(s(elem!1), s(s(elem!1))) | r(s(elem!1), s(s(elem!1))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1827,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(elem!1))) | b(s(elem!1), s(s(elem!1))) | r(s(elem!1), s(s(elem!1)))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 2.86/3.06 tff(1828,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1827, 21, 1824, 1795, 1788])).
% 2.86/3.06 tff(1829,plain,((~b(s(s(s(elem!1))), s(elem!1))) | (s(elem!1) = s(s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~r(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1830,plain,
% 2.86/3.06 (~b(z, s(elem!1))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1829, 1782, 165, 1481, 1787, 1388, 1448, 1374])).
% 2.86/3.06 tff(1831,plain,
% 2.86/3.06 (r(z, s(elem!1))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1615, 1830])).
% 2.86/3.06 tff(1832,plain,
% 2.86/3.06 (~r(s(s(elem!1)), s(elem!1))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[272, 1831, 165])).
% 2.86/3.06 tff(1833,plain,
% 2.86/3.06 (b(s(s(elem!1)), s(elem!1))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[277, 1832, 229])).
% 2.86/3.06 tff(1834,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1835,plain,
% 2.86/3.06 (((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1836,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1835])).
% 2.86/3.06 tff(1837,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 2.86/3.06 inference(transitivity,[status(thm)],[1836, 1834])).
% 2.86/3.06 tff(1838,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1839,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 2.86/3.06 tff(1840,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1839, 338, 1448, 1433, 1833, 1782, 1468])).
% 2.86/3.06 tff(1841,plain,((~(s(z) = elem!1)) | (s(s(elem!1)) = s(elem!1)) | (~r(z, s(s(elem!1)))) | (s(elem!1) = s(s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1842,plain,
% 2.86/3.06 (~(s(z) = elem!1)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1841, 1344, 162, 1337, 1330, 1269, 1293])).
% 2.86/3.06 tff(1843,plain,
% 2.86/3.06 (r(s(z), elem!1)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[701, 1842, 1318])).
% 2.86/3.06 tff(1844,plain,
% 2.86/3.06 (b(s(s(s(elem!1))), z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1387, 1310])).
% 2.86/3.06 tff(1845,plain,
% 2.86/3.06 (~r(z, s(s(s(elem!1))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1361, 1293, 162])).
% 2.86/3.06 tff(1846,plain,
% 2.86/3.06 (b(z, s(s(s(elem!1))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1373, 1845])).
% 2.86/3.06 tff(1847,plain,
% 2.86/3.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(z))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1848,plain,
% 2.86/3.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(z))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1849,plain,
% 2.86/3.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(z)))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 2.86/3.06 tff(1850,plain,
% 2.86/3.06 (~r(s(s(s(elem!1))), s(z))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1849, 82, 1269, 1843])).
% 2.86/3.06 tff(1851,assumption,(~r(s(s(s(elem!1))), s(z))), introduced(assumption)).
% 2.86/3.06 tff(1852,plain,
% 2.86/3.06 (~r(s(z), z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[759, 754, 234])).
% 2.86/3.06 tff(1853,plain,
% 2.86/3.06 (b(s(z), z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[26, 1852])).
% 2.86/3.06 tff(1854,assumption,(r(s(z), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.06 tff(1855,plain,
% 2.86/3.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), s(s(s(elem!1))))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1856,plain,
% 2.86/3.06 (((~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(elem!1)))))) <=> ((~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), s(s(s(elem!1))))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1857,plain,
% 2.86/3.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), s(s(s(elem!1)))))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1856])).
% 2.86/3.06 tff(1858,plain,
% 2.86/3.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), s(s(s(elem!1))))))),
% 2.86/3.06 inference(transitivity,[status(thm)],[1857, 1855])).
% 2.86/3.06 tff(1859,plain,
% 2.86/3.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(elem!1))))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1860,plain,
% 2.86/3.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), s(s(s(elem!1)))))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 2.86/3.06 tff(1861,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1860, 82, 1269, 754, 1854])).
% 2.86/3.06 tff(1862,plain,((~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1863,plain,
% 2.86/3.06 (~r(s(z), s(s(s(elem!1))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1862, 754, 1269])).
% 2.86/3.06 tff(1864,assumption,(~b(s(z), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.06 tff(1865,assumption,(~r(s(z), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.06 tff(1866,plain,
% 2.86/3.06 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(elem!1)))) | b(s(z), s(s(s(elem!1)))) | r(s(z), s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(elem!1)))) | b(s(z), s(s(s(elem!1)))) | r(s(z), s(s(s(elem!1)))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1867,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(elem!1)))) | b(s(z), s(s(s(elem!1)))) | r(s(z), s(s(s(elem!1)))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1868,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(elem!1)))) | b(s(z), s(s(s(elem!1)))) | r(s(z), s(s(s(elem!1))))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1867, 1866])).
% 2.86/3.06 tff(1869,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1868, 21, 1263, 1865, 1864])).
% 2.86/3.06 tff(1870,plain,(r(s(z), s(s(s(elem!1)))) | b(s(z), s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1871,plain,
% 2.86/3.06 (b(s(z), s(s(s(elem!1))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1870, 1863])).
% 2.86/3.06 tff(1872,plain,
% 2.86/3.06 ((s(s(s(elem!1))) = s(z)) <=> (s(z) = s(s(s(elem!1))))),
% 2.86/3.06 inference(commutativity,[status(thm)],[])).
% 2.86/3.06 tff(1873,plain,
% 2.86/3.06 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(z))),
% 2.86/3.06 inference(symmetry,[status(thm)],[1872])).
% 2.86/3.06 tff(1874,plain,
% 2.86/3.06 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = s(z)))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1873])).
% 2.86/3.06 tff(1875,plain,
% 2.86/3.06 (~(s(s(s(elem!1))) = s(z))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1263, 1874])).
% 2.86/3.06 tff(1876,plain,
% 2.86/3.06 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(z)) | b(s(s(s(elem!1))), s(z)) | r(s(s(s(elem!1))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(z)) | b(s(s(s(elem!1))), s(z)) | r(s(s(s(elem!1))), s(z)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1877,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(z)) | b(s(s(s(elem!1))), s(z)) | r(s(s(s(elem!1))), s(z)))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1878,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(z)) | b(s(s(s(elem!1))), s(z)) | r(s(s(s(elem!1))), s(z))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 2.86/3.06 tff(1879,plain,
% 2.86/3.06 (b(s(s(s(elem!1))), s(z))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1878, 21, 1875, 1851])).
% 2.86/3.06 tff(1880,assumption,(b(s(z), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.06 tff(1881,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1882,plain,
% 2.86/3.06 (((~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1883,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z)))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1882])).
% 2.86/3.06 tff(1884,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 2.86/3.06 inference(transitivity,[status(thm)],[1883, 1881])).
% 2.86/3.06 tff(1885,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(1886,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z)))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 2.86/3.06 tff(1887,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1886, 338, 1595, 1596, 1740, 1880, 1879])).
% 2.86/3.06 tff(1888,plain,((~b(s(z), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | r(s(s(s(elem!1))), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1889,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1888, 1871, 1853, 1596, 1595, 1851])).
% 2.86/3.06 tff(1890,plain,((~r(s(z), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(z)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1891,plain,
% 2.86/3.06 (~r(z, elem!1)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1890, 1850, 1269, 1846, 1844, 1843])).
% 2.86/3.06 tff(1892,plain,
% 2.86/3.06 (b(z, elem!1)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[353, 1891, 1317])).
% 2.86/3.06 tff(1893,plain,
% 2.86/3.06 (b(z, s(s(elem!1))) <=> b(z, elem!1)),
% 2.86/3.06 inference(monotonicity,[status(thm)],[193])).
% 2.86/3.06 tff(1894,plain,
% 2.86/3.06 (b(z, elem!1) <=> b(z, s(s(elem!1)))),
% 2.86/3.06 inference(symmetry,[status(thm)],[1893])).
% 2.86/3.06 tff(1895,plain,
% 2.86/3.06 (b(z, s(s(elem!1)))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1021, 1894])).
% 2.86/3.06 tff(1896,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[140, 1895])).
% 2.86/3.06 tff(1897,plain,((~(s(s(elem!1)) = elem!1)) | b(z, s(s(elem!1))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1898,plain,
% 2.86/3.06 (~(s(s(elem!1)) = elem!1)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1897, 1892, 140])).
% 2.86/3.06 tff(1899,plain,
% 2.86/3.06 (b(s(s(elem!1)), elem!1)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[327, 1898, 1300])).
% 2.86/3.06 tff(1900,plain,
% 2.86/3.06 (~(s(elem!1) = s(s(s(elem!1))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[209, 1898])).
% 2.86/3.06 tff(1901,plain,
% 2.86/3.06 (~(s(s(s(elem!1))) = s(elem!1))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[217, 1900])).
% 2.86/3.06 tff(1902,plain,
% 2.86/3.06 (~r(s(z), s(s(s(elem!1))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1862, 1843, 1269])).
% 2.86/3.06 tff(1903,plain,
% 2.86/3.06 (b(s(z), s(s(s(elem!1))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1870, 1902])).
% 2.86/3.06 tff(1904,plain,
% 2.86/3.06 (~b(s(z), z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1888, 1850, 1903, 1846, 1844])).
% 2.86/3.06 tff(1905,plain,
% 2.86/3.06 (r(s(z), z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[26, 1904])).
% 2.86/3.06 tff(1906,assumption,(s(elem!1) = s(z)), introduced(assumption)).
% 2.86/3.06 tff(1907,plain,
% 2.86/3.06 (inj_0(s(elem!1)) = inj_0(s(z))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1906])).
% 2.86/3.06 tff(1908,plain,
% 2.86/3.06 (inj_0(s(z)) = inj_0(s(elem!1))),
% 2.86/3.06 inference(symmetry,[status(thm)],[1907])).
% 2.86/3.06 tff(1909,plain,
% 2.86/3.06 (z = inj_0(s(z))),
% 2.86/3.06 inference(symmetry,[status(thm)],[48])).
% 2.86/3.06 tff(1910,plain,
% 2.86/3.06 (z = elem!1),
% 2.86/3.06 inference(transitivity,[status(thm)],[1909, 1908, 199])).
% 2.86/3.06 tff(1911,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[714, 1910])).
% 2.86/3.06 tff(1912,plain,((~(s(elem!1) = s(z))) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1913,plain,
% 2.86/3.06 (~(s(elem!1) = s(z))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1912, 1317])).
% 2.86/3.06 tff(1914,plain,
% 2.86/3.06 (~(elem!1 = s(elem!1))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[231, 1344])).
% 2.86/3.06 tff(1915,assumption,(s(z) = s(elem!1)), introduced(assumption)).
% 2.86/3.06 tff(1916,plain,
% 2.86/3.06 (s(elem!1) = s(z)),
% 2.86/3.06 inference(symmetry,[status(thm)],[1915])).
% 2.86/3.06 tff(1917,assumption,(~(s(elem!1) = s(z))), introduced(assumption)).
% 2.86/3.06 tff(1918,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1917, 1916])).
% 2.86/3.06 tff(1919,plain,((~(s(z) = s(elem!1))) | (s(elem!1) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1920,plain,
% 2.86/3.06 (~(s(z) = s(elem!1))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1919, 1913])).
% 2.86/3.06 tff(1921,assumption,(elem!1 = s(s(s(elem!1)))), introduced(assumption)).
% 2.86/3.06 tff(1922,plain,
% 2.86/3.06 (s(s(s(elem!1))) = elem!1),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1921, 1254])).
% 2.86/3.06 tff(1923,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1271, 1922])).
% 2.86/3.06 tff(1924,plain,((~(elem!1 = s(s(s(elem!1))))) | (s(s(s(elem!1))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(1925,plain,
% 2.86/3.06 (~(elem!1 = s(s(s(elem!1))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1924, 1271])).
% 2.86/3.06 tff(1926,plain,
% 2.86/3.06 (~(elem!1 = z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[716, 1317])).
% 2.86/3.06 tff(1927,plain,
% 2.86/3.06 (~r(elem!1, z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[828, 1843, 1905])).
% 2.86/3.06 tff(1928,plain,
% 2.86/3.06 (b(elem!1, z)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[846, 1927, 1926])).
% 2.86/3.06 tff(1929,assumption,(b(elem!1, s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.06 tff(1930,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1931,plain,
% 2.86/3.06 (((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(1932,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[1931])).
% 2.86/3.07 tff(1933,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1)))),
% 2.86/3.07 inference(transitivity,[status(thm)],[1932, 1930])).
% 2.86/3.07 tff(1934,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(elem!1))))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(1935,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1934, 1933])).
% 2.86/3.07 tff(1936,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1935, 338, 1021, 1131, 1595, 1596, 1929])).
% 2.86/3.07 tff(1937,plain,((~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(1938,plain,
% 2.86/3.07 (~b(elem!1, s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1937, 1892, 1928, 1846, 1844])).
% 2.86/3.07 tff(1939,assumption,(~(elem!1 = s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.07 tff(1940,assumption,(~b(elem!1, s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.07 tff(1941,assumption,(~r(elem!1, s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.07 tff(1942,plain,
% 2.86/3.07 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | r(elem!1, s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | r(elem!1, s(s(s(elem!1)))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1943,plain,
% 2.86/3.07 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | r(elem!1, s(s(s(elem!1)))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(1944,plain,
% 2.86/3.07 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | r(elem!1, s(s(s(elem!1))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1943, 1942])).
% 2.86/3.07 tff(1945,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1944, 21, 1941, 1940, 1939])).
% 2.86/3.07 tff(1946,plain,(r(elem!1, s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | (elem!1 = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(1947,plain,
% 2.86/3.07 (r(elem!1, s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1946, 1938, 1925])).
% 2.86/3.07 tff(1948,plain,
% 2.86/3.07 (r(s(z), elem!1)),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[701, 1318, 691])).
% 2.86/3.07 tff(1949,assumption,(~(s(z) = s(elem!1))), introduced(assumption)).
% 2.86/3.07 tff(1950,assumption,(r(elem!1, s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.07 tff(1951,plain,
% 2.86/3.07 (b(s(z), s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1870, 1865])).
% 2.86/3.07 tff(1952,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1953,plain,
% 2.86/3.07 (((~r(s(elem!1), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(elem!1)))) <=> ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1954,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1)))))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[1953])).
% 2.86/3.07 tff(1955,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[1954, 1952])).
% 2.86/3.07 tff(1956,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(elem!1))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(1957,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1)))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 2.86/3.07 tff(1958,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1957, 82, 235, 1950, 1502])).
% 2.86/3.07 tff(1959,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(1960,plain,
% 2.86/3.07 (~r(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1959, 1950, 235])).
% 2.86/3.07 tff(1961,plain,
% 2.86/3.07 (b(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1515, 1960, 215])).
% 2.86/3.07 tff(1962,plain,
% 2.86/3.07 (~(s(s(s(elem!1))) = s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[217, 215])).
% 2.86/3.07 tff(1963,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1964,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(1965,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1)))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 2.86/3.07 tff(1966,plain,
% 2.86/3.07 ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1)))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1965, 82])).
% 2.86/3.07 tff(1967,plain,
% 2.86/3.07 (~r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1966, 1950, 235])).
% 2.86/3.07 tff(1968,plain,
% 2.86/3.07 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(elem!1)) | b(s(s(s(elem!1))), s(elem!1)) | r(s(s(s(elem!1))), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(elem!1)) | b(s(s(s(elem!1))), s(elem!1)) | r(s(s(s(elem!1))), s(elem!1)))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1969,plain,
% 2.86/3.07 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(elem!1)) | b(s(s(s(elem!1))), s(elem!1)) | r(s(s(s(elem!1))), s(elem!1)))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(1970,plain,
% 2.86/3.07 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(elem!1)) | b(s(s(s(elem!1))), s(elem!1)) | r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1969, 1968])).
% 2.86/3.07 tff(1971,plain,
% 2.86/3.07 ((s(s(s(elem!1))) = s(elem!1)) | b(s(s(s(elem!1))), s(elem!1)) | r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1970, 21])).
% 2.86/3.07 tff(1972,plain,
% 2.86/3.07 (b(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1971, 1967, 1962])).
% 2.86/3.07 tff(1973,assumption,(r(s(z), s(elem!1))), introduced(assumption)).
% 2.86/3.07 tff(1974,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1975,plain,
% 2.86/3.07 (((~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), elem!1))) <=> ((~r(elem!1, s(elem!1))) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1976,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1)))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[1975])).
% 2.86/3.07 tff(1977,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[1976, 1974])).
% 2.86/3.07 tff(1978,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), elem!1)))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(1979,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1)))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1978, 1977])).
% 2.86/3.07 tff(1980,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1979, 82, 235, 754, 1973])).
% 2.86/3.07 tff(1981,plain,((~r(s(z), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(1982,plain,
% 2.86/3.07 (~r(s(z), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1981, 754, 235])).
% 2.86/3.07 tff(1983,plain,
% 2.86/3.07 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(elem!1)) | b(s(z), s(elem!1)) | r(s(z), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(elem!1)) | b(s(z), s(elem!1)) | r(s(z), s(elem!1)))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1984,plain,
% 2.86/3.07 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(elem!1)) | b(s(z), s(elem!1)) | r(s(z), s(elem!1)))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(1985,plain,
% 2.86/3.07 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(elem!1)) | b(s(z), s(elem!1)) | r(s(z), s(elem!1))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 2.86/3.07 tff(1986,plain,
% 2.86/3.07 (b(s(z), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1985, 21, 1949, 1982])).
% 2.86/3.07 tff(1987,plain,
% 2.86/3.07 (~r(s(s(s(elem!1))), s(z))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1849, 82, 1269, 754])).
% 2.86/3.07 tff(1988,assumption,(~b(s(s(s(elem!1))), s(z))), introduced(assumption)).
% 2.86/3.07 tff(1989,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1878, 21, 1875, 1851, 1988])).
% 2.86/3.07 tff(1990,plain,(b(s(s(s(elem!1))), s(z)) | r(s(s(s(elem!1))), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(1991,plain,
% 2.86/3.07 (b(s(s(s(elem!1))), s(z))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1990, 1987])).
% 2.86/3.07 tff(1992,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1993,plain,
% 2.86/3.07 (((~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1)))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(1994,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z)))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[1993])).
% 2.86/3.07 tff(1995,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[1994, 1992])).
% 2.86/3.07 tff(1996,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(1997,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z)))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 2.86/3.07 tff(1998,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1997, 338, 1500, 1564, 1880, 1991, 1986])).
% 2.86/3.07 tff(1999,plain,((~r(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (s(z) = s(elem!1)) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(2000,plain,
% 2.86/3.07 (~r(s(z), elem!1)),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1999, 1972, 1961, 1951, 1949, 235, 1269])).
% 2.86/3.07 tff(2001,plain,
% 2.86/3.07 (s(z) = elem!1),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[701, 2000, 1318])).
% 2.86/3.07 tff(2002,plain,
% 2.86/3.07 (r(s(z), s(s(s(elem!1)))) <=> r(elem!1, s(s(s(elem!1))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[2001])).
% 2.86/3.07 tff(2003,plain,
% 2.86/3.07 (r(elem!1, s(s(s(elem!1)))) <=> r(s(z), s(s(s(elem!1))))),
% 2.86/3.07 inference(symmetry,[status(thm)],[2002])).
% 2.86/3.07 tff(2004,plain,
% 2.86/3.07 (r(s(z), s(s(s(elem!1))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1950, 2003])).
% 2.86/3.07 tff(2005,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1865, 2004])).
% 2.86/3.07 tff(2006,plain,((~r(elem!1, s(s(s(elem!1))))) | r(s(z), s(s(s(elem!1)))) | b(s(z), elem!1) | (s(z) = s(elem!1)) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(2007,plain,
% 2.86/3.07 (r(s(z), s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2006, 1318, 215, 1950, 1949, 1269, 235])).
% 2.86/3.07 tff(2008,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1862, 2007, 1948, 1269])).
% 2.86/3.07 tff(2009,plain,(b(s(z), elem!1) | (~r(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (s(z) = s(elem!1)) | (~r(elem!1, s(elem!1))) | (s(z) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(2010,plain,
% 2.86/3.07 (~r(elem!1, s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2009, 1947, 1269, 1318, 1920, 1842, 1900])).
% 2.86/3.07 tff(2011,plain,
% 2.86/3.07 (b(elem!1, s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[252, 2010, 1914])).
% 2.86/3.07 tff(2012,plain,
% 2.86/3.07 (~r(elem!1, s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1408, 1293, 1269])).
% 2.86/3.07 tff(2013,plain,
% 2.86/3.07 (s(s(elem!1)) = elem!1),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1414, 191])).
% 2.86/3.07 tff(2014,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[207, 2013])).
% 2.86/3.07 tff(2015,plain,((~(elem!1 = s(s(elem!1)))) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(2016,plain,
% 2.86/3.07 (~(elem!1 = s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2015, 1898])).
% 2.86/3.07 tff(2017,plain,
% 2.86/3.07 (b(elem!1, s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[321, 2016, 2012])).
% 2.86/3.07 tff(2018,plain,
% 2.86/3.07 (~(s(elem!1) = elem!1)),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1473, 1914])).
% 2.86/3.07 tff(2019,plain,
% 2.86/3.07 (~r(z, s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1361, 165, 1294])).
% 2.86/3.07 tff(2020,plain,
% 2.86/3.07 (b(z, s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1373, 2019])).
% 2.86/3.07 tff(2021,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(2022,plain,
% 2.86/3.07 (((~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), elem!1))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(2023,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1)))))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[2022])).
% 2.86/3.07 tff(2024,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[2023, 2021])).
% 2.86/3.07 tff(2025,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(2026,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(elem!1)))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 2.86/3.07 tff(2027,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2026, 82, 295, 1950, 1502])).
% 2.86/3.07 tff(2028,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(2029,plain,
% 2.86/3.07 (~r(s(elem!1), elem!1)),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2028, 1502, 1950])).
% 2.86/3.07 tff(2030,plain,
% 2.86/3.07 (b(s(elem!1), elem!1)),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[312, 2029, 306])).
% 2.86/3.07 tff(2031,plain,
% 2.86/3.07 (~r(s(s(s(elem!1))), z)),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1309, 165, 1294])).
% 2.86/3.07 tff(2032,plain,
% 2.86/3.07 (b(s(s(s(elem!1))), z)),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1387, 2031])).
% 2.86/3.07 tff(2033,plain,
% 2.86/3.07 (~(s(s(elem!1)) = s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[224, 222])).
% 2.86/3.07 tff(2034,plain,
% 2.86/3.07 (~(s(elem!1) = s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1786, 2033])).
% 2.86/3.07 tff(2035,plain,
% 2.86/3.07 ((~(s(elem!1) = elem!1)) <=> (~(elem!1 = s(elem!1)))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[1470])).
% 2.86/3.07 tff(2036,plain,
% 2.86/3.07 (~(elem!1 = s(elem!1))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[306, 2035])).
% 2.86/3.07 tff(2037,plain,
% 2.86/3.07 (~r(elem!1, s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1959, 1502, 1950])).
% 2.86/3.07 tff(2038,plain,
% 2.86/3.07 (b(elem!1, s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[252, 2037, 2036])).
% 2.86/3.07 tff(2039,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[344, 338, 763, 762, 316, 2038, 2030])).
% 2.86/3.07 tff(2040,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (s(elem!1) = elem!1) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(2041,plain,
% 2.86/3.07 (~b(s(s(elem!1)), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2040, 1502, 1950, 763, 306, 762])).
% 2.86/3.07 tff(2042,plain,
% 2.86/3.07 (r(s(s(elem!1)), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[277, 2041, 2033])).
% 2.86/3.07 tff(2043,assumption,(r(s(s(s(elem!1))), s(elem!1))), introduced(assumption)).
% 2.86/3.07 tff(2044,plain,
% 2.86/3.07 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(2045,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(2046,plain,
% 2.86/3.07 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[2045, 2044])).
% 2.86/3.07 tff(2047,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2046, 82, 2043, 1294, 264])).
% 2.86/3.07 tff(2048,plain,((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(2049,plain,
% 2.86/3.07 (~r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2048, 2042, 1294])).
% 2.86/3.07 tff(2050,plain,
% 2.86/3.07 (b(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1971, 2049, 222])).
% 2.86/3.07 tff(2051,plain,
% 2.86/3.07 (~r(z, s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[272, 2042, 165])).
% 2.86/3.07 tff(2052,plain,
% 2.86/3.07 (b(z, s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1615, 2051])).
% 2.86/3.07 tff(2053,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1829, 2052, 2050, 2034, 165, 763, 2032, 2030, 2020])).
% 2.86/3.07 tff(2054,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (s(s(s(elem!1))) = s(elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(2055,plain,
% 2.86/3.07 (~r(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2054, 1947, 162, 1901, 1293, 2018, 1899, 2017])).
% 2.86/3.07 tff(2056,plain,
% 2.86/3.07 (b(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1515, 2055, 1900])).
% 2.86/3.07 tff(2057,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(2058,plain,
% 2.86/3.07 (((~b(s(z), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(2059,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z)))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[2058])).
% 2.86/3.07 tff(2060,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[2059, 2057])).
% 2.86/3.07 tff(2061,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(2062,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z)))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 2.86/3.07 tff(2063,plain,
% 2.86/3.07 (~b(s(elem!1), s(z))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2062, 338, 763, 1564, 316, 315, 1880])).
% 2.86/3.07 tff(2064,assumption,(~r(s(elem!1), s(z))), introduced(assumption)).
% 2.86/3.07 tff(2065,assumption,(~b(s(elem!1), s(z))), introduced(assumption)).
% 2.86/3.07 tff(2066,plain,
% 2.86/3.07 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(z)) | b(s(elem!1), s(z)) | r(s(elem!1), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(z)) | b(s(elem!1), s(z)) | r(s(elem!1), s(z)))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2067,plain,
% 2.86/3.08 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(z)) | b(s(elem!1), s(z)) | r(s(elem!1), s(z)))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2068,plain,
% 2.86/3.08 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(z)) | b(s(elem!1), s(z)) | r(s(elem!1), s(z))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 2.86/3.08 tff(2069,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2068, 21, 1917, 2065, 2064])).
% 2.86/3.08 tff(2070,plain,(r(s(elem!1), s(z)) | (s(elem!1) = s(z)) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2071,plain,
% 2.86/3.08 (r(s(elem!1), s(z))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2070, 2063, 1917])).
% 2.86/3.08 tff(2072,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2073,plain,
% 2.86/3.08 (((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2074,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2073])).
% 2.86/3.08 tff(2075,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 2.86/3.08 inference(transitivity,[status(thm)],[2074, 2072])).
% 2.86/3.08 tff(2076,plain,
% 2.86/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2077,plain,
% 2.86/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 2.86/3.08 tff(2078,plain,
% 2.86/3.08 (~b(s(elem!1), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2077, 338, 763, 1595, 1564, 316, 315])).
% 2.86/3.08 tff(2079,plain,
% 2.86/3.08 (r(s(elem!1), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1812, 2078])).
% 2.86/3.08 tff(2080,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(z))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2081,plain,
% 2.86/3.08 (((~r(s(z), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(z)))) <=> ((~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(z))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2082,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(z)))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2081])).
% 2.86/3.08 tff(2083,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(z))))),
% 2.86/3.08 inference(transitivity,[status(thm)],[2082, 2080])).
% 2.86/3.08 tff(2084,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(z))))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2085,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(z)))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 2.86/3.08 tff(2086,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2085, 82, 2079, 405, 2071])).
% 2.86/3.08 tff(2087,plain,((~b(s(s(elem!1)), s(elem!1))) | (~r(s(z), z)) | (s(elem!1) = s(z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2088,plain,
% 2.86/3.08 (~b(s(s(elem!1)), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2087, 1564, 1917, 763, 405, 315, 1880, 2020])).
% 2.86/3.08 tff(2089,plain,
% 2.86/3.08 (r(s(s(elem!1)), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[277, 2088, 2033])).
% 2.86/3.08 tff(2090,plain,
% 2.86/3.08 (~r(z, s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[272, 2089, 165])).
% 2.86/3.08 tff(2091,plain,
% 2.86/3.08 (b(z, s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1615, 2090])).
% 2.86/3.08 tff(2092,plain,
% 2.86/3.08 (~r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2048, 2089, 1294])).
% 2.86/3.08 tff(2093,plain,
% 2.86/3.08 (b(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1971, 2092, 222])).
% 2.86/3.08 tff(2094,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1603, 338, 2093, 2020, 2032, 2091, 1564])).
% 2.86/3.08 tff(2095,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(elem!1)) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(z)) | (~b(s(s(elem!1)), elem!1)) | (~r(s(z), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2096,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2095, 2056, 2011, 162, 1913, 1293, 1903, 1905, 1901, 1899])).
% 2.86/3.08 tff(2097,plain,((s(s(s(elem!1))) = elem!1) | (~r(s(s(s(elem!1))), elem!1)) | b(s(z), elem!1) | b(z, s(s(elem!1))) | b(s(s(s(elem!1))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2098,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2097, 1268, 1264, 140, 1253, 1245])).
% 2.86/3.08 tff(2099,plain,((~r(s(s(elem!1)), z)) | b(z, s(s(elem!1))) | b(s(s(s(s(z)))), s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2100,plain,
% 2.86/3.08 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2099, 1194, 140, 108, 137, 27, 136, 425])).
% 2.86/3.08 tff(2101,plain,
% 2.86/3.08 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2100, 1191])).
% 2.86/3.08 tff(2102,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1006, 2101])).
% 2.86/3.08 tff(2103,plain,(r(z, s(z)) | b(z, s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z) | r(s(z), elem!1) | (~b(s(s(s(s(z)))), z)) | b(z, s(s(s(z)))) | b(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2104,plain,
% 2.86/3.08 (r(z, s(z))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2103, 108, 140, 137, 129, 176, 175, 138, 1])).
% 2.86/3.08 tff(2105,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2106,plain,
% 2.86/3.08 (((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2107,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z))))))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2106])).
% 2.86/3.08 tff(2108,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))))),
% 2.86/3.08 inference(transitivity,[status(thm)],[2107, 2105])).
% 2.86/3.08 tff(2109,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2110,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z))))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2109, 2108])).
% 2.86/3.08 tff(2111,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2110, 82, 1731, 108, 371])).
% 2.86/3.08 tff(2112,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2113,plain,
% 2.86/3.08 (~r(z, s(s(s(s(z)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2112, 2104, 108])).
% 2.86/3.08 tff(2114,plain,
% 2.86/3.08 (b(z, s(s(s(s(z)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[391, 2113])).
% 2.86/3.08 tff(2115,plain,
% 2.86/3.08 (s(s(z)) = s(elem!1)),
% 2.86/3.08 inference(monotonicity,[status(thm)],[860])).
% 2.86/3.08 tff(2116,plain,
% 2.86/3.08 (s(s(s(z))) = s(s(elem!1))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2115])).
% 2.86/3.08 tff(2117,plain,
% 2.86/3.08 (r(s(s(s(z))), s(s(s(s(elem!1))))) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2116])).
% 2.86/3.08 tff(2118,plain,
% 2.86/3.08 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(symmetry,[status(thm)],[2117])).
% 2.86/3.08 tff(2119,plain,
% 2.86/3.08 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1490, 218])).
% 2.86/3.08 tff(2120,plain,
% 2.86/3.08 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1498, 2119])).
% 2.86/3.08 tff(2121,plain,
% 2.86/3.08 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[860])).
% 2.86/3.08 tff(2122,plain,
% 2.86/3.08 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2121])).
% 2.86/3.08 tff(2123,plain,
% 2.86/3.08 ((s(s(s(s(elem!1)))) = s(z)) <=> (s(z) = s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(commutativity,[status(thm)],[])).
% 2.86/3.08 tff(2124,plain,
% 2.86/3.08 ((~(s(s(s(s(elem!1)))) = s(z))) <=> (~(s(z) = s(s(s(s(elem!1))))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2123])).
% 2.86/3.08 tff(2125,plain,
% 2.86/3.08 (~(s(z) = s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[1580, 2124])).
% 2.86/3.08 tff(2126,plain,
% 2.86/3.08 (~(elem!1 = s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2125, 2122])).
% 2.86/3.08 tff(2127,plain,
% 2.86/3.08 (r(z, elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1733, 860, 1731])).
% 2.86/3.08 tff(2128,plain,
% 2.86/3.08 (~r(s(s(elem!1)), elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[262, 2127, 165])).
% 2.86/3.08 tff(2129,plain,
% 2.86/3.08 (b(s(s(elem!1)), elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[327, 2128, 197])).
% 2.86/3.08 tff(2130,plain,
% 2.86/3.08 (~r(elem!1, s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[287, 2127, 165])).
% 2.86/3.08 tff(2131,plain,
% 2.86/3.08 (b(elem!1, s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[321, 2130, 137])).
% 2.86/3.08 tff(2132,plain,
% 2.86/3.08 (~r(z, s(s(s(s(z)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2112, 1731, 108])).
% 2.86/3.08 tff(2133,plain,
% 2.86/3.08 (b(z, s(s(s(s(z)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[391, 2132])).
% 2.86/3.08 tff(2134,plain,
% 2.86/3.08 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1412, 860])).
% 2.86/3.08 tff(2135,plain,
% 2.86/3.08 (b(z, s(s(s(s(z))))) <=> b(z, s(s(s(elem!1))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[1420])).
% 2.86/3.08 tff(2136,plain,
% 2.86/3.08 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(s(s(z)))))),
% 2.86/3.08 inference(symmetry,[status(thm)],[2135])).
% 2.86/3.08 tff(2137,plain,
% 2.86/3.08 ((~b(z, s(s(s(elem!1))))) <=> (~b(z, s(s(s(s(z))))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2136])).
% 2.86/3.08 tff(2138,assumption,(~b(z, s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.08 tff(2139,plain,
% 2.86/3.08 (~b(z, s(s(s(s(z)))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 2.86/3.08 tff(2140,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[555, 2139])).
% 2.86/3.08 tff(2141,plain,((~(s(s(s(s(z)))) = s(s(s(elem!1))))) | (~b(z, s(s(s(s(z)))))) | b(z, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2142,plain,
% 2.86/3.08 (b(z, s(s(s(elem!1))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2141, 2134, 2133])).
% 2.86/3.08 tff(2143,assumption,(s(s(s(elem!1))) = elem!1), introduced(assumption)).
% 2.86/3.08 tff(2144,plain,
% 2.86/3.08 (b(z, s(s(s(elem!1)))) <=> b(z, elem!1)),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2143])).
% 2.86/3.08 tff(2145,plain,
% 2.86/3.08 (b(z, elem!1) <=> b(z, s(s(s(elem!1))))),
% 2.86/3.08 inference(symmetry,[status(thm)],[2144])).
% 2.86/3.08 tff(2146,plain,
% 2.86/3.08 ((~b(z, elem!1)) <=> (~b(z, s(s(s(elem!1)))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2145])).
% 2.86/3.08 tff(2147,plain,
% 2.86/3.08 (~b(z, s(s(s(elem!1))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[177, 2146])).
% 2.86/3.08 tff(2148,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1595, 2147])).
% 2.86/3.08 tff(2149,plain,((~(s(s(s(elem!1))) = elem!1)) | (~b(z, s(s(s(elem!1))))) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2150,plain,
% 2.86/3.08 (~(s(s(s(elem!1))) = elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2149, 2142, 177])).
% 2.86/3.08 tff(2151,plain,
% 2.86/3.08 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1309, 1301, 165])).
% 2.86/3.08 tff(2152,plain,
% 2.86/3.08 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1292, 2151, 1288])).
% 2.86/3.08 tff(2153,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), z)))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2154,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), z)))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2155,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), z))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 2.86/3.08 tff(2156,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2155, 82, 234, 1301, 1269])).
% 2.86/3.08 tff(2157,plain,((~r(s(s(s(elem!1))), elem!1)) | (~r(z, elem!1)) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2158,plain,
% 2.86/3.08 (~r(s(s(s(elem!1))), elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2157, 1301, 234])).
% 2.86/3.08 tff(2159,plain,
% 2.86/3.08 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = elem!1) | b(s(s(s(elem!1))), elem!1) | r(s(s(s(elem!1))), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = elem!1) | b(s(s(s(elem!1))), elem!1) | r(s(s(s(elem!1))), elem!1))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2160,plain,
% 2.86/3.08 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = elem!1) | b(s(s(s(elem!1))), elem!1) | r(s(s(s(elem!1))), elem!1))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2161,plain,
% 2.86/3.08 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = elem!1) | b(s(s(s(elem!1))), elem!1) | r(s(s(s(elem!1))), elem!1)),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2160, 2159])).
% 2.86/3.08 tff(2162,plain,
% 2.86/3.08 ((s(s(s(elem!1))) = elem!1) | b(s(s(s(elem!1))), elem!1) | r(s(s(s(elem!1))), elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2161, 21])).
% 2.86/3.08 tff(2163,plain,
% 2.86/3.08 (b(s(s(s(elem!1))), elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2162, 2158, 1271])).
% 2.86/3.08 tff(2164,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2165,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2166,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1)))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2165, 2164])).
% 2.86/3.08 tff(2167,plain,
% 2.86/3.08 ((~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2166, 82])).
% 2.86/3.08 tff(2168,plain,
% 2.86/3.08 (~r(elem!1, s(s(s(elem!1))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2167, 1301, 802])).
% 2.86/3.08 tff(2169,plain,
% 2.86/3.08 (b(elem!1, s(s(s(elem!1))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1946, 2168, 1925])).
% 2.86/3.08 tff(2170,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2171,plain,
% 2.86/3.08 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2172,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2171])).
% 2.86/3.08 tff(2173,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 2.86/3.08 inference(transitivity,[status(thm)],[2172, 2170])).
% 2.86/3.08 tff(2174,plain,
% 2.86/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2175,plain,
% 2.86/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2174, 2173])).
% 2.86/3.08 tff(2176,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2175, 338, 763, 2169, 2163, 762, 2152])).
% 2.86/3.08 tff(2177,plain,((~r(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | (~r(elem!1, z)) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2178,plain,
% 2.86/3.08 (~r(s(s(s(elem!1))), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2177, 2150, 165, 868, 2129, 2131, 2127])).
% 2.86/3.08 tff(2179,plain,
% 2.86/3.08 (b(s(s(s(elem!1))), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1387, 2178])).
% 2.86/3.08 tff(2180,plain,
% 2.86/3.08 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1280, 225])).
% 2.86/3.08 tff(2181,plain,
% 2.86/3.08 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1329, 2180])).
% 2.86/3.08 tff(2182,plain,
% 2.86/3.08 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2116])).
% 2.86/3.08 tff(2183,plain,
% 2.86/3.08 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2182])).
% 2.86/3.08 tff(2184,plain,
% 2.86/3.08 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 2.86/3.08 inference(monotonicity,[status(thm)],[860])).
% 2.86/3.08 tff(2185,plain,
% 2.86/3.08 (r(s(s(s(s(z)))), elem!1)),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[108, 2184])).
% 2.86/3.08 tff(2186,plain,
% 2.86/3.08 (r(s(s(s(elem!1))), elem!1)),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2185, 2183])).
% 2.86/3.08 tff(2187,plain,
% 2.86/3.08 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1554, 1520, 749, 1269])).
% 2.86/3.08 tff(2188,plain,
% 2.86/3.08 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1562, 2187, 1475])).
% 2.86/3.08 tff(2189,plain,
% 2.86/3.08 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.08 inference(monotonicity,[status(thm)],[749])).
% 2.86/3.08 tff(2190,plain,
% 2.86/3.08 (r(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[1520, 2189])).
% 2.86/3.08 tff(2191,assumption,(~r(s(s(s(s(elem!1)))), elem!1)), introduced(assumption)).
% 2.86/3.08 tff(2192,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2191, 2190])).
% 2.86/3.08 tff(2193,plain,((~r(s(s(s(s(elem!1)))), s(z))) | r(s(s(s(s(elem!1)))), elem!1) | (~(s(z) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(2194,plain,
% 2.86/3.08 (r(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2193, 1520, 749])).
% 2.86/3.08 tff(2195,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), z)))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2196,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), z)))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2197,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), z))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 2.86/3.08 tff(2198,plain,
% 2.86/3.08 (~r(s(s(s(s(elem!1)))), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2197, 82, 234, 2194])).
% 2.86/3.08 tff(2199,plain,
% 2.86/3.08 (b(s(s(s(s(elem!1)))), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1638, 2198])).
% 2.86/3.08 tff(2200,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2201,plain,
% 2.86/3.08 (((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1))))))) <=> ((~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2202,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2201])).
% 2.86/3.08 tff(2203,plain,
% 2.86/3.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.08 inference(transitivity,[status(thm)],[2202, 2200])).
% 2.86/3.08 tff(2204,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(2205,plain,
% 2.86/3.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[2204, 2203])).
% 2.86/3.08 tff(2206,plain,
% 2.86/3.08 (~r(z, s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2205, 82, 234, 2194])).
% 2.86/3.08 tff(2207,plain,
% 2.86/3.08 (b(z, s(s(s(s(elem!1)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1698, 2206])).
% 2.86/3.08 tff(2208,assumption,(b(s(s(s(s(elem!1)))), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.08 tff(2209,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(2210,plain,
% 2.86/3.08 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2211,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2210])).
% 2.86/3.09 tff(2212,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[2211, 2209])).
% 2.86/3.09 tff(2213,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2214,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 2.86/3.09 tff(2215,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2214, 338, 1595, 1596, 1701, 2208, 1700])).
% 2.86/3.09 tff(2216,plain,((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2217,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2216, 2207, 2199, 1595, 2188, 1596])).
% 2.86/3.09 tff(2218,plain,((~r(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~r(z, elem!1)) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~(s(z) = elem!1)) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2219,plain,
% 2.86/3.09 (~r(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2218, 2186, 2127, 860, 2181, 2179, 2142])).
% 2.86/3.09 tff(2220,plain,
% 2.86/3.09 (b(s(s(s(s(elem!1)))), s(z))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1585, 2219])).
% 2.86/3.09 tff(2221,plain,
% 2.86/3.09 (b(s(s(s(s(elem!1)))), elem!1)),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1593, 2220, 860])).
% 2.86/3.09 tff(2222,plain,
% 2.86/3.09 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1662, 1654, 165])).
% 2.86/3.09 tff(2223,plain,
% 2.86/3.09 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1651, 2222, 1491])).
% 2.86/3.09 tff(2224,plain,
% 2.86/3.09 (b(s(z), s(s(s(s(elem!1))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[749])).
% 2.86/3.09 tff(2225,assumption,(r(s(z), s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.09 tff(2226,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z)))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2227,plain,
% 2.86/3.09 (((~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(elem!1))))))) <=> ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z)))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2228,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2227])).
% 2.86/3.09 tff(2229,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z)))),
% 2.86/3.09 inference(transitivity,[status(thm)],[2228, 2226])).
% 2.86/3.09 tff(2230,plain,
% 2.86/3.09 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(elem!1)))))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2231,plain,
% 2.86/3.09 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), z))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 2.86/3.09 tff(2232,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2231, 82, 1654, 2225, 405])).
% 2.86/3.09 tff(2233,plain,((~r(s(s(s(s(elem!1)))), z)) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2234,plain,
% 2.86/3.09 (~r(s(z), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2233, 1654, 405])).
% 2.86/3.09 tff(2235,plain,
% 2.86/3.09 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(elem!1))))) | b(s(z), s(s(s(s(elem!1))))) | r(s(z), s(s(s(s(elem!1))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(elem!1))))) | b(s(z), s(s(s(s(elem!1))))) | r(s(z), s(s(s(s(elem!1))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2236,plain,
% 2.86/3.09 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(elem!1))))) | b(s(z), s(s(s(s(elem!1))))) | r(s(z), s(s(s(s(elem!1))))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2237,plain,
% 2.86/3.09 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(elem!1))))) | b(s(z), s(s(s(s(elem!1))))) | r(s(z), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 2.86/3.09 tff(2238,plain,
% 2.86/3.09 ((s(z) = s(s(s(s(elem!1))))) | b(s(z), s(s(s(s(elem!1))))) | r(s(z), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2237, 21])).
% 2.86/3.09 tff(2239,plain,
% 2.86/3.09 (b(s(z), s(s(s(s(elem!1))))) | r(s(z), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2238, 2125])).
% 2.86/3.09 tff(2240,plain,
% 2.86/3.09 (b(s(z), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2239, 2234])).
% 2.86/3.09 tff(2241,plain,
% 2.86/3.09 (b(elem!1, s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2240, 2224])).
% 2.86/3.09 tff(2242,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2243,plain,
% 2.86/3.09 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2244,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2243])).
% 2.86/3.09 tff(2245,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.09 inference(transitivity,[status(thm)],[2244, 2242])).
% 2.86/3.09 tff(2246,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2247,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 2.86/3.09 tff(2248,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2247, 338, 2241, 763, 762, 2223, 1621])).
% 2.86/3.09 tff(2249,plain,((~r(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~(s(z) = elem!1)) | (~r(s(z), z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2250,plain,
% 2.86/3.09 (~r(s(s(s(s(elem!1)))), z)),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2249, 2221, 165, 27, 2131, 2129, 860])).
% 2.86/3.09 tff(2251,plain,
% 2.86/3.09 (b(s(s(s(s(elem!1)))), z)),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1638, 2250])).
% 2.86/3.09 tff(2252,plain,
% 2.86/3.09 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2182])).
% 2.86/3.09 tff(2253,plain,
% 2.86/3.09 (~r(z, s(elem!1))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[348, 2127, 165, 137])).
% 2.86/3.09 tff(2254,plain,
% 2.86/3.09 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[189, 2253, 164])).
% 2.86/3.09 tff(2255,plain,
% 2.86/3.09 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[368, 2254, 62])).
% 2.86/3.09 tff(2256,plain,
% 2.86/3.09 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2255, 2252])).
% 2.86/3.09 tff(2257,assumption,(r(s(s(elem!1)), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.09 tff(2258,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2259,plain,
% 2.86/3.09 (((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2260,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2259])).
% 2.86/3.09 tff(2261,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[2260, 2258])).
% 2.86/3.09 tff(2262,plain,
% 2.86/3.09 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2263,plain,
% 2.86/3.09 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 2.86/3.09 tff(2264,plain,
% 2.86/3.09 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2263, 82, 2257, 1548])).
% 2.86/3.09 tff(2265,plain,
% 2.86/3.09 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1651, 2264, 1496])).
% 2.86/3.09 tff(2266,plain,
% 2.86/3.09 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1498, 1496])).
% 2.86/3.09 tff(2267,assumption,(r(s(s(elem!1)), s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.09 tff(2268,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2269,plain,
% 2.86/3.09 (((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1))))))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2270,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2269])).
% 2.86/3.09 tff(2271,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[2270, 2268])).
% 2.86/3.09 tff(2272,plain,
% 2.86/3.09 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2273,plain,
% 2.86/3.09 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2272, 2271])).
% 2.86/3.09 tff(2274,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2273, 82, 2257, 2267, 1548])).
% 2.86/3.09 tff(2275,plain,((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2276,plain,
% 2.86/3.09 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2275, 1548, 2257])).
% 2.86/3.09 tff(2277,plain,
% 2.86/3.09 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1724, 2276, 2266])).
% 2.86/3.09 tff(2278,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1719, 338, 763, 762, 2277, 2265, 1621])).
% 2.86/3.09 tff(2279,plain,((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2280,plain,
% 2.86/3.09 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2279, 2221, 2129, 2256, 2119, 2131])).
% 2.86/3.09 tff(2281,plain,
% 2.86/3.09 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1562, 2280, 2181])).
% 2.86/3.09 tff(2282,plain,
% 2.86/3.09 (~b(z, s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2216, 2281, 2179, 2142, 2251])).
% 2.86/3.09 tff(2283,plain,
% 2.86/3.09 (r(z, s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1698, 2282])).
% 2.86/3.09 tff(2284,assumption,(r(elem!1, s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.09 tff(2285,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2286,plain,
% 2.86/3.09 (((~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, z))) <=> ((~r(elem!1, z)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2287,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1))))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2286])).
% 2.86/3.09 tff(2288,plain,
% 2.86/3.09 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[2287, 2285])).
% 2.86/3.09 tff(2289,plain,
% 2.86/3.09 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, z)))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2290,plain,
% 2.86/3.09 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1))))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 2.86/3.09 tff(2291,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2290, 82, 802, 2284, 1678])).
% 2.86/3.09 tff(2292,plain,((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, z)) | (~r(z, s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2293,plain,
% 2.86/3.09 (~r(elem!1, s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2292, 2283, 868])).
% 2.86/3.09 tff(2294,plain,
% 2.86/3.09 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(elem!1))))) | b(elem!1, s(s(s(s(elem!1))))) | r(elem!1, s(s(s(s(elem!1))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(elem!1))))) | b(elem!1, s(s(s(s(elem!1))))) | r(elem!1, s(s(s(s(elem!1))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2295,plain,
% 2.86/3.09 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(elem!1))))) | b(elem!1, s(s(s(s(elem!1))))) | r(elem!1, s(s(s(s(elem!1))))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2296,plain,
% 2.86/3.09 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(elem!1))))) | b(elem!1, s(s(s(s(elem!1))))) | r(elem!1, s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 2.86/3.09 tff(2297,plain,
% 2.86/3.09 ((elem!1 = s(s(s(s(elem!1))))) | b(elem!1, s(s(s(s(elem!1))))) | r(elem!1, s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2296, 21])).
% 2.86/3.09 tff(2298,plain,
% 2.86/3.09 (b(elem!1, s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2297, 2293, 2126])).
% 2.86/3.09 tff(2299,plain,
% 2.86/3.09 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1686, 2283, 165])).
% 2.86/3.09 tff(2300,plain,
% 2.86/3.09 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1651, 2299, 2119])).
% 2.86/3.09 tff(2301,assumption,(b(s(s(s(s(elem!1)))), s(s(elem!1)))), introduced(assumption)).
% 2.86/3.09 tff(2302,assumption,(b(s(s(elem!1)), s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.09 tff(2303,assumption,(b(elem!1, s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.86/3.09 tff(2304,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2305,plain,
% 2.86/3.09 (((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(2306,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2305])).
% 2.86/3.09 tff(2307,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.86/3.09 inference(transitivity,[status(thm)],[2306, 2304])).
% 2.86/3.09 tff(2308,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(2309,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 2.86/3.09 tff(2310,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2309, 338, 2303, 763, 2302, 2301, 1621])).
% 2.86/3.09 tff(2311,plain,((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2312,plain,
% 2.86/3.09 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2311, 2300, 2129, 2221, 2298])).
% 2.86/3.09 tff(2313,plain,
% 2.86/3.09 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1724, 2312, 2120])).
% 2.86/3.09 tff(2314,plain,
% 2.86/3.09 (r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[2313, 2118])).
% 2.86/3.09 tff(2315,plain,
% 2.86/3.09 (~r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1760, 2283, 426])).
% 2.86/3.09 tff(2316,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2315, 2314])).
% 2.86/3.09 tff(2317,plain,(b(z, elem!1) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(z))))) | (elem!1 = s(s(elem!1))) | (~r(z, s(z))) | b(s(z), z) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(2318,plain,
% 2.86/3.09 (b(z, elem!1)),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2317, 108, 136, 162, 62, 150, 137, 2104, 1, 176])).
% 2.86/3.09 tff(2319,plain,
% 2.86/3.09 (~(elem!1 = s(s(s(z))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1046, 2318, 138])).
% 2.86/3.10 tff(2320,plain,
% 2.86/3.10 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(z)))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[178])).
% 2.86/3.10 tff(2321,plain,
% 2.86/3.10 (b(z, s(s(s(s(z))))) <=> b(z, s(s(elem!1)))),
% 2.86/3.10 inference(symmetry,[status(thm)],[2320])).
% 2.86/3.10 tff(2322,plain,
% 2.86/3.10 (b(z, s(s(elem!1)))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[555, 2321])).
% 2.86/3.10 tff(2323,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[140, 2322])).
% 2.86/3.10 tff(2324,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | b(z, s(s(elem!1))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2325,plain,
% 2.86/3.10 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2324, 2114, 140])).
% 2.86/3.10 tff(2326,plain,
% 2.86/3.10 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[368, 2325, 62])).
% 2.86/3.10 tff(2327,plain,
% 2.86/3.10 (~r(s(z), s(s(elem!1)))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[729, 27, 162])).
% 2.86/3.10 tff(2328,plain,
% 2.86/3.10 (b(s(z), s(s(elem!1)))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[743, 2327])).
% 2.86/3.10 tff(2329,assumption,(elem!1 = s(s(z))), introduced(assumption)).
% 2.86/3.10 tff(2330,plain,
% 2.86/3.10 (s(elem!1) = s(s(s(z)))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2329])).
% 2.86/3.10 tff(2331,plain,
% 2.86/3.10 (s(s(elem!1)) = s(s(s(s(z))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2330])).
% 2.86/3.10 tff(2332,plain,
% 2.86/3.10 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(z)))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2331])).
% 2.86/3.10 tff(2333,plain,
% 2.86/3.10 (b(z, s(s(s(s(z))))) <=> b(z, s(s(elem!1)))),
% 2.86/3.10 inference(symmetry,[status(thm)],[2332])).
% 2.86/3.10 tff(2334,plain,
% 2.86/3.10 (b(z, s(s(elem!1)))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[555, 2333])).
% 2.86/3.10 tff(2335,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[140, 2334])).
% 2.86/3.10 tff(2336,plain,((~(elem!1 = s(s(z)))) | b(z, s(s(elem!1))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2337,plain,
% 2.86/3.10 (~(elem!1 = s(s(z)))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2336, 2114, 140])).
% 2.86/3.10 tff(2338,plain,
% 2.86/3.10 (~b(z, s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[536, 71, 164, 458, 457, 108])).
% 2.86/3.10 tff(2339,plain,
% 2.86/3.10 (b(z, s(z)) <=> b(z, elem!1)),
% 2.86/3.10 inference(monotonicity,[status(thm)],[749])).
% 2.86/3.10 tff(2340,plain,
% 2.86/3.10 (b(z, elem!1) <=> b(z, s(z))),
% 2.86/3.10 inference(symmetry,[status(thm)],[2339])).
% 2.86/3.10 tff(2341,plain,
% 2.86/3.10 (b(z, s(z))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[1021, 2340])).
% 2.86/3.10 tff(2342,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[398, 2341])).
% 2.86/3.10 tff(2343,plain,((~(s(z) = elem!1)) | b(z, s(z)) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2344,plain,
% 2.86/3.10 (~(s(z) = elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2343, 2338, 1021])).
% 2.86/3.10 tff(2345,plain,
% 2.86/3.10 (b(s(z), elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[701, 2344, 176])).
% 2.86/3.10 tff(2346,assumption,(~(elem!1 = s(s(z)))), introduced(assumption)).
% 2.86/3.10 tff(2347,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2348,plain,
% 2.86/3.10 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2349,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2348])).
% 2.86/3.10 tff(2350,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.86/3.10 inference(transitivity,[status(thm)],[2349, 2347])).
% 2.86/3.10 tff(2351,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(2352,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[2351, 2350])).
% 2.86/3.10 tff(2353,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2352, 82, 786, 108, 370])).
% 2.86/3.10 tff(2354,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2355,plain,
% 2.86/3.10 (~r(s(s(elem!1)), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2354, 370, 108])).
% 2.86/3.10 tff(2356,plain,
% 2.86/3.10 (b(s(s(elem!1)), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[784, 2355])).
% 2.86/3.10 tff(2357,plain,
% 2.86/3.10 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1463, 71, 458, 457, 108])).
% 2.86/3.10 tff(2358,plain,
% 2.86/3.10 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1011, 2357])).
% 2.86/3.10 tff(2359,plain,
% 2.86/3.10 (~r(z, s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2112, 108, 1731])).
% 2.86/3.10 tff(2360,plain,
% 2.86/3.10 (b(z, s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[391, 2359])).
% 2.86/3.10 tff(2361,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2362,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(2363,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 2.86/3.10 tff(2364,plain,
% 2.86/3.10 (~r(s(s(s(s(z)))), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2363, 82, 1731, 108])).
% 2.86/3.10 tff(2365,plain,
% 2.86/3.10 (b(s(s(s(s(z)))), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[127, 2364])).
% 2.86/3.10 tff(2366,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1137, 338, 1021, 1131, 1130, 2365, 2360])).
% 2.86/3.10 tff(2367,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), elem!1)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2368,plain,
% 2.86/3.10 (~b(elem!1, z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2367, 1130, 108, 1731, 1021])).
% 2.86/3.10 tff(2369,plain,
% 2.86/3.10 (r(elem!1, z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[846, 2368, 1037])).
% 2.86/3.10 tff(2370,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2371,plain,
% 2.86/3.10 (((~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))) | (~r(elem!1, z))) <=> ((~r(elem!1, z)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2372,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z)))))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2371])).
% 2.86/3.10 tff(2373,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.86/3.10 inference(transitivity,[status(thm)],[2372, 2370])).
% 2.86/3.10 tff(2374,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))) | (~r(elem!1, z)))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(2375,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z)))))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 2.86/3.10 tff(2376,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2375, 82, 802, 164, 1146])).
% 2.86/3.10 tff(2377,plain,((~r(elem!1, s(s(s(z))))) | (~r(elem!1, z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2378,plain,
% 2.86/3.10 (~r(elem!1, s(s(s(z))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2377, 2369, 164])).
% 2.86/3.10 tff(2379,plain,
% 2.86/3.10 (b(elem!1, s(s(s(z))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1160, 2378, 1050])).
% 2.86/3.10 tff(2380,assumption,(b(s(s(s(z))), elem!1)), introduced(assumption)).
% 2.86/3.10 tff(2381,assumption,(b(elem!1, s(s(s(z))))), introduced(assumption)).
% 2.86/3.10 tff(2382,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2383,plain,
% 2.86/3.10 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2384,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2383])).
% 2.86/3.10 tff(2385,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.86/3.10 inference(transitivity,[status(thm)],[2384, 2382])).
% 2.86/3.10 tff(2386,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(2387,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[2386, 2385])).
% 2.86/3.10 tff(2388,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2387, 338, 2381, 2380, 987, 539, 1130])).
% 2.86/3.10 tff(2389,plain,((~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2390,plain,
% 2.86/3.10 (~b(s(s(s(z))), elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2389, 2379, 539, 1130, 987])).
% 2.86/3.10 tff(2391,plain,
% 2.86/3.10 (r(s(s(s(z))), elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1110, 2390, 1057])).
% 2.86/3.10 tff(2392,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), elem!1)))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2393,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), elem!1)))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(2394,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), elem!1))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 2.86/3.10 tff(2395,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2394, 82, 2369, 2391, 426])).
% 2.86/3.10 tff(2396,plain,((~b(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (elem!1 = s(s(s(z)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2397,plain,
% 2.86/3.10 (~b(s(s(s(s(z)))), elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2396, 539, 426, 2358, 1050, 164, 108, 1731, 1021])).
% 2.86/3.10 tff(2398,plain,
% 2.86/3.10 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(z))), elem!1)),
% 2.86/3.10 inference(monotonicity,[status(thm)],[1013])).
% 2.86/3.10 tff(2399,plain,
% 2.86/3.10 (b(s(s(s(z))), elem!1)),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[539, 2398])).
% 2.86/3.10 tff(2400,plain,
% 2.86/3.10 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[1013])).
% 2.86/3.10 tff(2401,plain,
% 2.86/3.10 (b(elem!1, s(s(s(z))))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[987, 2400])).
% 2.86/3.10 tff(2402,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2403,plain,
% 2.86/3.10 (((~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1))) <=> ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2404,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z)))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2403])).
% 2.86/3.10 tff(2405,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 2.86/3.10 inference(transitivity,[status(thm)],[2404, 2402])).
% 2.86/3.10 tff(2406,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1)))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(2407,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z)))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 2.86/3.10 tff(2408,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2407, 338, 706, 457, 458, 2401, 2399])).
% 2.86/3.10 tff(2409,plain,((~(s(s(s(s(z)))) = elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2410,plain,
% 2.86/3.10 (~(s(s(s(s(z)))) = elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2409, 539, 457, 458, 706, 2358])).
% 2.86/3.10 tff(2411,plain,
% 2.86/3.10 (r(s(s(s(s(z)))), elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1144, 2410, 2397])).
% 2.86/3.10 tff(2412,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2413,plain,
% 2.86/3.10 (((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2414,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2413])).
% 2.86/3.10 tff(2415,plain,
% 2.86/3.10 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.86/3.10 inference(transitivity,[status(thm)],[2414, 2412])).
% 2.86/3.10 tff(2416,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(2417,plain,
% 2.86/3.10 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[2416, 2415])).
% 2.86/3.10 tff(2418,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2417, 82, 254, 1147, 370])).
% 2.86/3.10 tff(2419,plain,((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(2420,plain,
% 2.86/3.10 (~r(s(s(elem!1)), elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2419, 2411, 370])).
% 2.86/3.10 tff(2421,plain,
% 2.86/3.10 (b(s(s(elem!1)), elem!1)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[327, 2420, 197])).
% 2.86/3.10 tff(2422,plain,
% 2.86/3.10 (~b(elem!1, s(s(elem!1)))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[772, 2421, 747, 2356, 706])).
% 2.86/3.10 tff(2423,plain,
% 2.86/3.10 (r(elem!1, s(s(elem!1)))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[321, 2422, 137])).
% 2.86/3.10 tff(2424,plain,
% 2.86/3.10 (r(s(s(z)), s(s(s(z))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[534, 485])).
% 2.86/3.10 tff(2425,plain,
% 2.86/3.10 (~r(s(s(z)), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[493, 82, 2424, 164])).
% 2.86/3.10 tff(2426,plain,
% 2.86/3.10 (b(s(s(z)), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[956, 2425])).
% 2.86/3.10 tff(2427,plain,
% 2.86/3.10 (~(elem!1 = s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1062, 2410])).
% 2.86/3.10 tff(2428,plain,
% 2.86/3.10 (~(s(s(s(z))) = s(s(elem!1)))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1237, 2344])).
% 2.86/3.10 tff(2429,plain,
% 2.86/3.10 (~r(s(s(elem!1)), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1230, 2428, 426, 747, 458, 457])).
% 2.86/3.10 tff(2430,plain,
% 2.86/3.10 (b(s(s(elem!1)), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[800, 2429])).
% 2.86/3.10 tff(2431,assumption,(b(s(s(z)), z)), introduced(assumption)).
% 2.86/3.10 tff(2432,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z)))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2433,plain,
% 2.86/3.10 (((~b(s(s(z)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(z)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z)))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2434,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(z)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z))))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[2433])).
% 2.86/3.10 tff(2435,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(z)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z)))))),
% 2.86/3.10 inference(transitivity,[status(thm)],[2434, 2432])).
% 2.86/3.10 tff(2436,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(z)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(2437,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z))))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[2436, 2435])).
% 2.86/3.10 tff(2438,plain,
% 2.86/3.10 (~b(elem!1, s(s(z)))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[2437, 338, 1021, 1131, 763, 878, 2431])).
% 2.86/3.10 tff(2439,plain,
% 2.86/3.10 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(z))) | b(elem!1, s(s(z))) | r(elem!1, s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(z))) | b(elem!1, s(s(z))) | r(elem!1, s(s(z))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(2440,plain,
% 2.86/3.10 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(z))) | b(elem!1, s(s(z))) | r(elem!1, s(s(z))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2441,plain,
% 2.86/3.11 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(z))) | b(elem!1, s(s(z))) | r(elem!1, s(s(z)))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2440, 2439])).
% 2.86/3.11 tff(2442,plain,
% 2.86/3.11 ((elem!1 = s(s(z))) | b(elem!1, s(s(z))) | r(elem!1, s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2441, 21])).
% 2.86/3.11 tff(2443,plain,
% 2.86/3.11 (r(elem!1, s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2442, 2438, 2346])).
% 2.86/3.11 tff(2444,assumption,(~(elem!1 = s(s(s(s(z)))))), introduced(assumption)).
% 2.86/3.11 tff(2445,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2446,plain,
% 2.86/3.11 (((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2447,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z))))))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[2446])).
% 2.86/3.11 tff(2448,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.86/3.11 inference(transitivity,[status(thm)],[2447, 2445])).
% 2.86/3.11 tff(2449,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2450,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z))))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 2.86/3.11 tff(2451,plain,
% 2.86/3.11 (~b(elem!1, s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2450, 338, 1021, 1131, 763, 878, 175])).
% 2.86/3.11 tff(2452,plain,
% 2.86/3.11 (r(elem!1, s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[1094, 2451, 2444])).
% 2.86/3.11 tff(2453,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2454,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2455,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(elem!1, s(s(s(s(z))))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 2.86/3.11 tff(2456,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2455, 82, 2452, 2443, 71])).
% 2.86/3.11 tff(2457,plain,((~b(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(z)))), s(s(z)))) | (elem!1 = s(s(s(s(z))))) | (elem!1 = s(s(z))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2458,plain,
% 2.86/3.11 (~b(elem!1, z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2457, 2421, 2430, 2346, 1021, 71, 2427, 175, 2426])).
% 2.86/3.11 tff(2459,plain,
% 2.86/3.11 (r(elem!1, z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[846, 2458, 1037])).
% 2.86/3.11 tff(2460,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[1081, 2459, 2423, 165])).
% 2.86/3.11 tff(2461,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (elem!1 = s(s(z))) | (~b(z, elem!1)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (elem!1 = s(s(s(z)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2462,plain,
% 2.86/3.11 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2461, 71, 137, 2346, 1021, 165, 175, 747, 2345, 370, 457, 458, 426, 1050, 164, 108, 1731])).
% 2.86/3.11 tff(2463,plain,
% 2.86/3.11 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[689, 2462])).
% 2.86/3.11 tff(2464,assumption,(r(s(s(s(z))), s(s(z)))), introduced(assumption)).
% 2.86/3.11 tff(2465,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2466,plain,
% 2.86/3.11 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2467,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z))))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[2466])).
% 2.86/3.11 tff(2468,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))),
% 2.86/3.11 inference(transitivity,[status(thm)],[2467, 2465])).
% 2.86/3.11 tff(2469,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2470,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2469, 2468])).
% 2.86/3.11 tff(2471,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2470, 82, 911, 71, 2464])).
% 2.86/3.11 tff(2472,plain,((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2473,plain,
% 2.86/3.11 (~r(s(s(s(z))), s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2472, 2463, 71])).
% 2.86/3.11 tff(2474,plain,
% 2.86/3.11 (b(s(s(s(z))), s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[639, 2473])).
% 2.86/3.11 tff(2475,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2476,plain,
% 2.86/3.11 (((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2477,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[2476])).
% 2.86/3.11 tff(2478,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 2.86/3.11 inference(transitivity,[status(thm)],[2477, 2475])).
% 2.86/3.11 tff(2479,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2480,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2479, 2478])).
% 2.86/3.11 tff(2481,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2480, 338, 457, 473, 458, 2474, 456])).
% 2.86/3.11 tff(2482,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (elem!1 = s(s(elem!1))) | (elem!1 = s(s(z))) | (~b(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (elem!1 = s(s(s(z)))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2483,plain,
% 2.86/3.11 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2482, 2337, 438, 137, 425, 2318, 162, 175, 2328, 2326, 136, 2319, 150, 108, 2104, 176])).
% 2.86/3.11 tff(2484,plain,
% 2.86/3.11 (b(s(s(s(s(z)))), s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[68, 2483])).
% 2.86/3.11 tff(2485,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2486,plain,
% 2.86/3.11 (((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z)))) <=> ((~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2487,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z))))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[2486])).
% 2.86/3.11 tff(2488,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))))),
% 2.86/3.11 inference(transitivity,[status(thm)],[2487, 2485])).
% 2.86/3.11 tff(2489,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2490,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2489, 2488])).
% 2.86/3.11 tff(2491,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2490, 82, 1731, 70, 556])).
% 2.86/3.11 tff(2492,plain,((~r(z, s(s(z)))) | (~r(z, s(z))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2493,plain,
% 2.86/3.11 (~r(z, s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2492, 70, 1731])).
% 2.86/3.11 tff(2494,plain,
% 2.86/3.11 (b(z, s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[563, 2493])).
% 2.86/3.11 tff(2495,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[570, 338, 601, 2431, 540, 175, 555])).
% 2.86/3.11 tff(2496,plain,((~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2497,plain,
% 2.86/3.11 (~b(s(s(z)), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2496, 2494, 175, 540, 555])).
% 2.86/3.11 tff(2498,plain,
% 2.86/3.11 (r(s(s(z)), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[956, 2497])).
% 2.86/3.11 tff(2499,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2500,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2501,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 2.86/3.11 tff(2502,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2501, 82, 405, 70, 2498])).
% 2.86/3.11 tff(2503,plain,((~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2504,plain,
% 2.86/3.11 (~r(s(z), s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2503, 2484, 175, 27, 2104, 2114])).
% 2.86/3.11 tff(2505,plain,
% 2.86/3.11 (b(s(z), s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[455, 2504])).
% 2.86/3.11 tff(2506,plain,
% 2.86/3.11 (~r(s(s(z)), s(s(s(z))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[572, 2484, 175, 2114, 150])).
% 2.86/3.11 tff(2507,plain,
% 2.86/3.11 (b(s(s(z)), s(s(s(z))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[534, 2506])).
% 2.86/3.11 tff(2508,plain,
% 2.86/3.11 (~b(s(s(z)), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[484, 2507, 438, 425, 2505])).
% 2.86/3.11 tff(2509,plain,
% 2.86/3.11 (r(s(s(z)), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[472, 2508])).
% 2.86/3.11 tff(2510,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2511,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2512,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 2.86/3.11 tff(2513,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2512, 82, 1731, 556, 459])).
% 2.86/3.11 tff(2514,plain,((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2515,plain,
% 2.86/3.11 (~r(z, s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2514, 2509, 2104])).
% 2.86/3.11 tff(2516,plain,
% 2.86/3.11 (b(z, s(s(z)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[563, 2515])).
% 2.86/3.11 tff(2517,plain,
% 2.86/3.11 (~b(s(s(z)), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2496, 2516, 175, 2484, 2114])).
% 2.86/3.11 tff(2518,plain,
% 2.86/3.11 (r(s(s(z)), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[956, 2517])).
% 2.86/3.11 tff(2519,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2520,plain,
% 2.86/3.11 (((~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z))) <=> ((~r(s(s(z)), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2521,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z)))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[2520])).
% 2.86/3.11 tff(2522,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z))))),
% 2.86/3.11 inference(transitivity,[status(thm)],[2521, 2519])).
% 2.86/3.11 tff(2523,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2524,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z)))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2523, 2522])).
% 2.86/3.11 tff(2525,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2524, 82, 2104, 2518, 2509])).
% 2.86/3.11 tff(2526,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | r(s(z), elem!1) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1))) | b(z, s(s(s(z)))) | b(s(z), z) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2527,plain,
% 2.86/3.11 (~r(s(s(s(s(z)))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2526, 1, 137, 176, 62, 140, 138, 175, 129])).
% 2.86/3.11 tff(2528,plain,
% 2.86/3.11 (b(s(s(s(s(z)))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[119, 2527])).
% 2.86/3.11 tff(2529,plain,
% 2.86/3.11 (r(z, s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[909, 177, 129, 162, 137, 1, 176])).
% 2.86/3.11 tff(2530,plain,
% 2.86/3.11 (s(z) = elem!1),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[859, 177, 162, 137, 1, 176])).
% 2.86/3.11 tff(2531,plain,
% 2.86/3.11 (r(z, elem!1)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[1733, 2530, 2529])).
% 2.86/3.11 tff(2532,plain,
% 2.86/3.11 (s(s(s(z))) = s(s(elem!1))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[873, 2530])).
% 2.86/3.11 tff(2533,plain,
% 2.86/3.11 (~b(s(s(elem!1)), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[881, 2532, 129])).
% 2.86/3.11 tff(2534,plain,
% 2.86/3.11 (r(s(s(elem!1)), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[800, 2533])).
% 2.86/3.11 tff(2535,plain,
% 2.86/3.11 ((s(s(elem!1)) = s(z)) <=> (s(z) = s(s(elem!1)))),
% 2.86/3.11 inference(commutativity,[status(thm)],[])).
% 2.86/3.11 tff(2536,plain,
% 2.86/3.11 ((s(z) = s(s(elem!1))) <=> (s(s(elem!1)) = s(z))),
% 2.86/3.11 inference(symmetry,[status(thm)],[2535])).
% 2.86/3.11 tff(2537,plain,
% 2.86/3.11 ((~(s(z) = s(s(elem!1)))) <=> (~(s(s(elem!1)) = s(z)))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[2536])).
% 2.86/3.11 tff(2538,plain,
% 2.86/3.11 (~(s(s(elem!1)) = s(z))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[738, 2537])).
% 2.86/3.11 tff(2539,plain,
% 2.86/3.11 ((s(s(elem!1)) = s(z)) | b(s(s(elem!1)), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[782, 21, 1249])).
% 2.86/3.11 tff(2540,plain,
% 2.86/3.11 (b(s(s(elem!1)), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2539, 2538])).
% 2.86/3.11 tff(2541,plain,
% 2.86/3.11 (~r(s(s(s(z))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[430, 82, 405, 426])).
% 2.86/3.11 tff(2542,plain,
% 2.86/3.11 (b(s(s(s(z))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[437, 2541])).
% 2.86/3.11 tff(2543,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2544,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2545,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 2.86/3.11 tff(2546,plain,
% 2.86/3.11 (~r(s(z), s(s(elem!1)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2545, 82, 787, 405])).
% 2.86/3.11 tff(2547,plain,
% 2.86/3.11 (b(s(z), s(s(elem!1)))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[743, 2546])).
% 2.86/3.11 tff(2548,plain,
% 2.86/3.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z)))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(2549,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z)))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(2550,plain,
% 2.86/3.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 2.86/3.11 tff(2551,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2550, 82, 234, 254, 787])).
% 2.86/3.11 tff(2552,plain,((~r(s(s(elem!1)), elem!1)) | (~r(z, elem!1)) | (~r(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(2553,plain,
% 2.86/3.11 (~r(s(s(elem!1)), elem!1)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[2552, 787, 234])).
% 2.86/3.11 tff(2554,plain,
% 2.86/3.11 (b(s(s(elem!1)), elem!1)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[327, 2553, 197])).
% 2.86/3.11 tff(2555,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(2556,plain,
% 2.86/3.12 (((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z)))))) <=> ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(2557,plain,
% 2.86/3.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2556])).
% 2.86/3.12 tff(2558,plain,
% 2.86/3.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 2.86/3.12 inference(transitivity,[status(thm)],[2557, 2555])).
% 2.86/3.12 tff(2559,plain,
% 2.86/3.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 2.86/3.12 inference(quant_inst,[status(thm)],[])).
% 2.86/3.12 tff(2560,plain,
% 2.86/3.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 2.86/3.12 tff(2561,plain,
% 2.86/3.12 (~b(s(s(elem!1)), s(s(s(z))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2560, 338, 2554, 706, 2547, 2542, 2540])).
% 2.86/3.12 tff(2562,plain,
% 2.86/3.12 ((s(s(elem!1)) = s(s(s(z)))) | b(s(s(elem!1)), s(s(s(z))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1211, 21, 1203])).
% 2.86/3.12 tff(2563,plain,
% 2.86/3.12 (s(s(elem!1)) = s(s(s(z)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2562, 2561])).
% 2.86/3.12 tff(2564,plain,
% 2.86/3.12 (s(s(s(z))) = s(s(elem!1))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2563])).
% 2.86/3.12 tff(2565,plain,
% 2.86/3.12 (b(z, s(s(s(z)))) <=> b(z, s(s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2564])).
% 2.86/3.12 tff(2566,plain,
% 2.86/3.12 (b(z, s(s(elem!1))) <=> b(z, s(s(s(z))))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2565])).
% 2.86/3.12 tff(2567,plain,
% 2.86/3.12 (~b(elem!1, s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[772, 2540, 706, 2554, 2547])).
% 2.86/3.12 tff(2568,plain,
% 2.86/3.12 (r(elem!1, s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[321, 2567, 137])).
% 2.86/3.12 tff(2569,plain,
% 2.86/3.12 (~r(z, s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[287, 2568, 234])).
% 2.86/3.12 tff(2570,plain,
% 2.86/3.12 (b(z, s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[161, 2569])).
% 2.86/3.12 tff(2571,plain,
% 2.86/3.12 (b(z, s(s(s(z))))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2570, 2566])).
% 2.86/3.12 tff(2572,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[138, 2571])).
% 2.86/3.12 tff(2573,plain,((~r(s(s(elem!1)), z)) | b(z, s(s(s(z)))) | (~b(s(z), elem!1)) | (~r(z, elem!1)) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2574,plain,
% 2.86/3.12 (~b(s(z), elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2573, 2534, 136, 137, 138, 27, 2531])).
% 2.86/3.12 tff(2575,plain,
% 2.86/3.12 (s(s(z)) = s(elem!1)),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2530])).
% 2.86/3.12 tff(2576,plain,
% 2.86/3.12 (s(s(s(z))) = s(s(elem!1))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2575])).
% 2.86/3.12 tff(2577,plain,
% 2.86/3.12 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2576])).
% 2.86/3.12 tff(2578,plain,
% 2.86/3.12 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2577])).
% 2.86/3.12 tff(2579,plain,
% 2.86/3.12 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2578])).
% 2.86/3.12 tff(2580,plain,
% 2.86/3.12 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[62, 2579])).
% 2.86/3.12 tff(2581,assumption,(~b(s(s(elem!1)), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.12 tff(2582,assumption,(~r(s(s(s(elem!1))), elem!1)), introduced(assumption)).
% 2.86/3.12 tff(2583,plain,
% 2.86/3.12 (r(s(s(s(elem!1))), s(z))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1990, 1988])).
% 2.86/3.12 tff(2584,plain,
% 2.86/3.12 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), elem!1)),
% 2.86/3.12 inference(monotonicity,[status(thm)],[749])).
% 2.86/3.12 tff(2585,plain,
% 2.86/3.12 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(elem!1))), s(z))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2584])).
% 2.86/3.12 tff(2586,plain,
% 2.86/3.12 ((~r(s(s(s(elem!1))), elem!1)) <=> (~r(s(s(s(elem!1))), s(z)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2585])).
% 2.86/3.12 tff(2587,plain,
% 2.86/3.12 (~r(s(s(s(elem!1))), s(z))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2582, 2586])).
% 2.86/3.12 tff(2588,assumption,(r(s(s(s(elem!1))), s(z))), introduced(assumption)).
% 2.86/3.12 tff(2589,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2588, 2587])).
% 2.86/3.12 tff(2590,plain,((~(s(z) = elem!1)) | (~r(s(s(s(elem!1))), s(z))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2591,plain,
% 2.86/3.12 (~(s(z) = elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2590, 2583, 2582])).
% 2.86/3.12 tff(2592,plain,
% 2.86/3.12 (r(s(z), elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[701, 2591, 1318])).
% 2.86/3.12 tff(2593,plain,
% 2.86/3.12 (~(s(z) = elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2590, 2588, 2582])).
% 2.86/3.12 tff(2594,plain,
% 2.86/3.12 (r(s(z), elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[701, 2593, 1318])).
% 2.86/3.12 tff(2595,plain,
% 2.86/3.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(z))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(2596,plain,
% 2.86/3.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(z))))),
% 2.86/3.12 inference(quant_inst,[status(thm)],[])).
% 2.86/3.12 tff(2597,plain,
% 2.86/3.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(z)))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 2.86/3.12 tff(2598,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2597, 82, 1301, 2588, 405])).
% 2.86/3.12 tff(2599,plain,((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2600,plain,
% 2.86/3.12 (~r(s(s(s(elem!1))), z)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2599, 405, 2588])).
% 2.86/3.12 tff(2601,plain,
% 2.86/3.12 (b(s(s(s(elem!1))), z)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1387, 2600])).
% 2.86/3.12 tff(2602,plain,
% 2.86/3.12 (~(elem!1 = s(z))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[696, 2593])).
% 2.86/3.12 tff(2603,plain,
% 2.86/3.12 (r(elem!1, s(z))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[819, 814, 2602])).
% 2.86/3.12 tff(2604,plain,
% 2.86/3.12 (~r(z, elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[759, 405, 754])).
% 2.86/3.12 tff(2605,assumption,(~b(s(s(elem!1)), s(elem!1))), introduced(assumption)).
% 2.86/3.12 tff(2606,assumption,(~b(s(elem!1), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.12 tff(2607,plain,
% 2.86/3.12 ((s(s(elem!1)) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(s(elem!1)))),
% 2.86/3.12 inference(commutativity,[status(thm)],[])).
% 2.86/3.12 tff(2608,assumption,(s(s(elem!1)) = s(s(s(elem!1)))), introduced(assumption)).
% 2.86/3.12 tff(2609,plain,
% 2.86/3.12 (s(s(s(elem!1))) = s(s(elem!1))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 2.86/3.12 tff(2610,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1327, 2609])).
% 2.86/3.12 tff(2611,plain,((~(s(s(elem!1)) = s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2612,plain,
% 2.86/3.12 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2611, 1288])).
% 2.86/3.12 tff(2613,assumption,(~r(s(s(elem!1)), s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.12 tff(2614,assumption,(~(s(s(elem!1)) = s(s(s(elem!1))))), introduced(assumption)).
% 2.86/3.12 tff(2615,plain,
% 2.86/3.12 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(elem!1)))) | r(s(s(elem!1)), s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(elem!1)))) | r(s(s(elem!1)), s(s(s(elem!1)))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(2616,plain,
% 2.86/3.12 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(elem!1)))) | r(s(s(elem!1)), s(s(s(elem!1)))))),
% 2.86/3.12 inference(quant_inst,[status(thm)],[])).
% 2.86/3.12 tff(2617,plain,
% 2.86/3.12 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(elem!1)))) | r(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2616, 2615])).
% 2.86/3.12 tff(2618,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2617, 21, 2614, 2581, 2613])).
% 2.86/3.12 tff(2619,plain,(b(s(s(elem!1)), s(s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | r(s(s(elem!1)), s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2620,plain,
% 2.86/3.12 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2619, 2612, 2581])).
% 2.86/3.12 tff(2621,plain,
% 2.86/3.12 (r(s(s(elem!1)), s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[277, 1344, 2605])).
% 2.86/3.12 tff(2622,plain,
% 2.86/3.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(2623,plain,
% 2.86/3.12 (((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1)))) <=> ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(2624,plain,
% 2.86/3.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2623])).
% 2.86/3.12 tff(2625,plain,
% 2.86/3.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 2.86/3.12 inference(transitivity,[status(thm)],[2624, 2622])).
% 2.86/3.12 tff(2626,plain,
% 2.86/3.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))))),
% 2.86/3.12 inference(quant_inst,[status(thm)],[])).
% 2.86/3.12 tff(2627,plain,
% 2.86/3.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2626, 2625])).
% 2.86/3.12 tff(2628,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2627, 82, 1502, 264, 2257])).
% 2.86/3.12 tff(2629,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2630,plain,
% 2.86/3.12 (~r(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2629, 2621, 2620])).
% 2.86/3.12 tff(2631,plain,
% 2.86/3.12 (b(s(s(s(elem!1))), elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2162, 1271, 2582])).
% 2.86/3.12 tff(2632,plain,
% 2.86/3.12 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[1414])).
% 2.86/3.12 tff(2633,plain,
% 2.86/3.12 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(elem!1))), elem!1)),
% 2.86/3.12 inference(symmetry,[status(thm)],[2632])).
% 2.86/3.12 tff(2634,plain,
% 2.86/3.12 ((~b(s(s(s(elem!1))), s(s(elem!1)))) <=> (~b(s(s(s(elem!1))), elem!1))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2633])).
% 2.86/3.12 tff(2635,plain,
% 2.86/3.12 (~b(s(s(s(elem!1))), elem!1)),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[1270, 2634])).
% 2.86/3.12 tff(2636,assumption,(b(s(s(s(elem!1))), elem!1)), introduced(assumption)).
% 2.86/3.12 tff(2637,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2636, 2635])).
% 2.86/3.12 tff(2638,plain,((~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | b(s(s(s(elem!1))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2639,plain,
% 2.86/3.12 (~(elem!1 = s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2638, 2631, 1270])).
% 2.86/3.12 tff(2640,plain,
% 2.86/3.12 (~(s(s(elem!1)) = elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[196, 2639])).
% 2.86/3.12 tff(2641,plain,
% 2.86/3.12 (~(s(elem!1) = s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[209, 2640])).
% 2.86/3.12 tff(2642,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1515, 2641, 2630, 2606])).
% 2.86/3.12 tff(2643,plain,((s(s(s(elem!1))) = elem!1) | b(s(elem!1), s(s(s(elem!1)))) | b(s(s(elem!1)), s(elem!1)) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2644,plain,
% 2.86/3.12 (s(s(s(elem!1))) = elem!1),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2643, 2606, 2605, 2581, 1270, 2582])).
% 2.86/3.12 tff(2645,plain,
% 2.86/3.12 (b(z, s(s(s(elem!1))))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[1021, 2145])).
% 2.86/3.12 tff(2646,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2138, 2645])).
% 2.86/3.12 tff(2647,plain,((~(s(s(s(elem!1))) = elem!1)) | b(z, s(s(s(elem!1)))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2648,plain,
% 2.86/3.12 (b(z, s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2647, 2644, 1021])).
% 2.86/3.12 tff(2649,plain,
% 2.86/3.12 (b(z, s(s(elem!1))) <=> b(z, s(s(s(elem!1))))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[1275])).
% 2.86/3.12 tff(2650,plain,
% 2.86/3.12 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(elem!1)))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2649])).
% 2.86/3.12 tff(2651,plain,
% 2.86/3.12 (b(z, s(s(elem!1)))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[1595, 2650])).
% 2.86/3.12 tff(2652,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[140, 2651])).
% 2.86/3.12 tff(2653,plain,((~(s(s(s(elem!1))) = s(s(elem!1)))) | b(z, s(s(elem!1))) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2654,plain,
% 2.86/3.12 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2653, 2648, 140])).
% 2.86/3.12 tff(2655,plain,
% 2.86/3.12 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2611, 2654])).
% 2.86/3.12 tff(2656,plain,
% 2.86/3.12 ((s(s(s(elem!1))) = s(s(elem!1))) <=> (s(s(elem!1)) = s(s(s(elem!1))))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2607])).
% 2.86/3.12 tff(2657,plain,
% 2.86/3.12 ((s(s(s(elem!1))) = s(s(elem!1))) <=> (elem!1 = s(s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2143])).
% 2.86/3.12 tff(2658,plain,
% 2.86/3.12 ((s(s(s(elem!1))) = s(s(elem!1))) <=> (s(s(elem!1)) = elem!1)),
% 2.86/3.12 inference(transitivity,[status(thm)],[2657, 191])).
% 2.86/3.12 tff(2659,plain,
% 2.86/3.12 ((s(s(elem!1)) = elem!1) <=> (s(s(s(elem!1))) = s(s(elem!1)))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2658])).
% 2.86/3.12 tff(2660,plain,
% 2.86/3.12 ((s(s(elem!1)) = elem!1) <=> (s(s(elem!1)) = s(s(s(elem!1))))),
% 2.86/3.12 inference(transitivity,[status(thm)],[2659, 2656])).
% 2.86/3.12 tff(2661,plain,
% 2.86/3.12 (s(s(elem!1)) = s(s(s(elem!1)))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[193, 2660])).
% 2.86/3.12 tff(2662,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2614, 2661])).
% 2.86/3.12 tff(2663,plain,((~(s(s(elem!1)) = elem!1)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2664,plain,
% 2.86/3.12 (~(s(s(elem!1)) = elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2663, 2655, 2644])).
% 2.86/3.12 tff(2665,plain,
% 2.86/3.12 (~(s(elem!1) = s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[209, 2664])).
% 2.86/3.12 tff(2666,plain,
% 2.86/3.12 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2619, 2655, 2581])).
% 2.86/3.12 tff(2667,plain,
% 2.86/3.12 (~(s(s(elem!1)) = s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1343, 2654])).
% 2.86/3.12 tff(2668,plain,
% 2.86/3.12 (r(s(s(elem!1)), s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[277, 2667, 2605])).
% 2.86/3.12 tff(2669,plain,
% 2.86/3.12 (~r(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2629, 2668, 2666])).
% 2.86/3.12 tff(2670,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1515, 2669, 2665, 2606])).
% 2.86/3.12 tff(2671,plain,(b(s(elem!1), s(s(s(elem!1)))) | b(s(s(elem!1)), s(elem!1)) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(elem!1))) | (~b(z, elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2672,plain,
% 2.86/3.12 (b(s(elem!1), s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2671, 2605, 2581, 140, 1021, 1270, 2582])).
% 2.86/3.12 tff(2673,plain,
% 2.86/3.12 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(elem!1), elem!1)),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2143])).
% 2.86/3.12 tff(2674,plain,
% 2.86/3.12 (b(s(elem!1), elem!1)),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[1564, 2673])).
% 2.86/3.12 tff(2675,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[305, 2674])).
% 2.86/3.12 tff(2676,plain,((~b(s(elem!1), s(s(s(elem!1))))) | b(s(elem!1), elem!1) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2677,plain,
% 2.86/3.12 (~(s(s(s(elem!1))) = elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2676, 2672, 305])).
% 2.86/3.12 tff(2678,plain,
% 2.86/3.12 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1287, 2677])).
% 2.86/3.12 tff(2679,plain,
% 2.86/3.12 (~(s(s(elem!1)) = s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1343, 2678])).
% 2.86/3.12 tff(2680,plain,
% 2.86/3.12 (r(s(s(elem!1)), s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[277, 2679, 2605])).
% 2.86/3.12 tff(2681,plain,
% 2.86/3.12 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1292, 2678, 1270])).
% 2.86/3.12 tff(2682,plain,
% 2.86/3.12 (~r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2048, 2681, 2680])).
% 2.86/3.12 tff(2683,plain,
% 2.86/3.12 (b(s(s(s(elem!1))), elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2162, 2677, 2582])).
% 2.86/3.12 tff(2684,plain,
% 2.86/3.12 (~(elem!1 = s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2638, 2683, 1270])).
% 2.86/3.12 tff(2685,plain,
% 2.86/3.12 (~(s(s(elem!1)) = elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[196, 2684])).
% 2.86/3.12 tff(2686,plain,
% 2.86/3.12 (~(s(elem!1) = s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[209, 2685])).
% 2.86/3.12 tff(2687,plain,
% 2.86/3.12 (~(s(s(s(elem!1))) = s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[217, 2686])).
% 2.86/3.12 tff(2688,plain,
% 2.86/3.12 (~r(z, s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1361, 2681, 162])).
% 2.86/3.12 tff(2689,plain,
% 2.86/3.12 (b(z, s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1373, 2688])).
% 2.86/3.12 tff(2690,plain,
% 2.86/3.12 (~r(z, s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[272, 2680, 162])).
% 2.86/3.12 tff(2691,plain,
% 2.86/3.12 (b(z, s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1615, 2690])).
% 2.86/3.12 tff(2692,plain,
% 2.86/3.12 (~b(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1605, 2691, 1596, 2689, 2672])).
% 2.86/3.12 tff(2693,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1971, 2692, 2687, 2682])).
% 2.86/3.12 tff(2694,plain,(b(s(s(elem!1)), s(elem!1)) | (~b(s(s(s(elem!1))), z)) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(s(elem!1), elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(elem!1))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2695,plain,
% 2.86/3.12 (~b(z, elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2694, 2605, 1270, 2582, 305, 2581, 140, 1596])).
% 2.86/3.12 tff(2696,plain,
% 2.86/3.12 (z = elem!1),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[353, 2695, 1729])).
% 2.86/3.12 tff(2697,plain,
% 2.86/3.12 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2696])).
% 2.86/3.12 tff(2698,plain,
% 2.86/3.12 (r(elem!1, s(s(elem!1)))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[162, 2697])).
% 2.86/3.12 tff(2699,plain,
% 2.86/3.12 (s(z) = s(elem!1)),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2696])).
% 2.86/3.12 tff(2700,plain,
% 2.86/3.12 (r(elem!1, s(z)) <=> r(elem!1, s(elem!1))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2699])).
% 2.86/3.12 tff(2701,plain,
% 2.86/3.12 (r(elem!1, s(elem!1))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[803, 2700])).
% 2.86/3.12 tff(2702,plain,
% 2.86/3.12 ((s(elem!1) = s(s(elem!1))) <=> (s(s(elem!1)) = s(elem!1))),
% 2.86/3.12 inference(commutativity,[status(thm)],[])).
% 2.86/3.12 tff(2703,plain,
% 2.86/3.12 ((s(z) = s(s(elem!1))) <=> (s(elem!1) = s(s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2699])).
% 2.86/3.12 tff(2704,plain,
% 2.86/3.12 ((s(z) = s(s(elem!1))) <=> (s(s(elem!1)) = s(elem!1))),
% 2.86/3.12 inference(transitivity,[status(thm)],[2703, 2702])).
% 2.86/3.12 tff(2705,plain,
% 2.86/3.12 ((~(s(z) = s(s(elem!1)))) <=> (~(s(s(elem!1)) = s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2704])).
% 2.86/3.12 tff(2706,plain,
% 2.86/3.12 (~(s(s(elem!1)) = s(elem!1))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[738, 2705])).
% 2.86/3.12 tff(2707,plain,
% 2.86/3.12 (r(s(s(elem!1)), s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[277, 2706, 2605])).
% 2.86/3.12 tff(2708,plain,
% 2.86/3.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(s(elem!1)))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(2709,plain,
% 2.86/3.12 (((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1))))) <=> ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(s(elem!1)))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(2710,plain,
% 2.86/3.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(s(elem!1))))))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2709])).
% 2.86/3.12 tff(2711,plain,
% 2.86/3.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(s(elem!1)))))),
% 2.86/3.12 inference(transitivity,[status(thm)],[2710, 2708])).
% 2.86/3.12 tff(2712,plain,
% 2.86/3.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))))),
% 2.86/3.12 inference(quant_inst,[status(thm)],[])).
% 2.86/3.12 tff(2713,plain,
% 2.86/3.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(s(elem!1))))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 2.86/3.12 tff(2714,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2713, 82, 235, 279, 264])).
% 2.86/3.12 tff(2715,plain,((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2716,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2715, 2707, 2701, 2698])).
% 2.86/3.12 tff(2717,plain,(b(s(s(elem!1)), s(elem!1)) | (~r(elem!1, s(z))) | r(z, elem!1) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(s(elem!1), elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(elem!1))) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2718,plain,
% 2.86/3.12 (b(s(s(elem!1)), s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2717, 2604, 2603, 1270, 2582, 305, 2581, 140, 2601])).
% 2.86/3.12 tff(2719,plain,
% 2.86/3.12 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(elem!1))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[213])).
% 2.86/3.12 tff(2720,plain,
% 2.86/3.12 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2719])).
% 2.86/3.12 tff(2721,plain,
% 2.86/3.12 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[316, 2720])).
% 2.86/3.12 tff(2722,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2581, 2721])).
% 2.86/3.12 tff(2723,plain,((~b(s(s(elem!1)), s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(2724,plain,
% 2.86/3.12 (~(s(s(s(elem!1))) = s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2723, 2718, 2581])).
% 2.86/3.12 tff(2725,plain,
% 2.86/3.12 (~(elem!1 = s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1418, 2724])).
% 2.86/3.12 tff(2726,plain,
% 2.86/3.12 (~(s(s(elem!1)) = elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[196, 2725])).
% 2.86/3.12 tff(2727,plain,
% 2.86/3.12 (~(s(elem!1) = s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[209, 2726])).
% 2.86/3.12 tff(2728,plain,
% 2.86/3.12 (~(s(s(elem!1)) = s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[224, 2724])).
% 2.86/3.12 tff(2729,plain,
% 2.86/3.12 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1280, 2728])).
% 2.86/3.12 tff(2730,plain,
% 2.86/3.12 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1292, 2729, 1270])).
% 2.86/3.12 tff(2731,plain,
% 2.86/3.12 (~r(z, s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1361, 2730, 162])).
% 2.86/3.12 tff(2732,plain,
% 2.86/3.12 (~(elem!1 = s(elem!1))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[231, 2728])).
% 2.86/3.12 tff(2733,plain,
% 2.86/3.12 (~(s(elem!1) = elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1473, 2732])).
% 2.86/3.12 tff(2734,plain,
% 2.86/3.12 (r(s(elem!1), elem!1)),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[312, 2733, 305])).
% 2.86/3.12 tff(2735,plain,
% 2.86/3.12 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2611, 2729])).
% 2.86/3.12 tff(2736,plain,
% 2.86/3.12 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[2619, 2735, 2581])).
% 2.86/3.12 tff(2737,plain,
% 2.86/3.12 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[1490, 2724])).
% 2.86/3.12 tff(2738,plain,
% 2.86/3.12 (z = elem!1),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[353, 177, 2604])).
% 2.86/3.12 tff(2739,plain,
% 2.86/3.12 (s(z) = s(elem!1)),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2738])).
% 2.86/3.12 tff(2740,plain,
% 2.86/3.12 (s(s(z)) = s(s(elem!1))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2739])).
% 2.86/3.12 tff(2741,plain,
% 2.86/3.12 (s(s(s(z))) = s(s(s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2740])).
% 2.86/3.12 tff(2742,plain,
% 2.86/3.12 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2741, 2739])).
% 2.86/3.12 tff(2743,plain,
% 2.86/3.12 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(z))), s(z))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2742])).
% 2.86/3.12 tff(2744,plain,
% 2.86/3.12 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2739])).
% 2.86/3.12 tff(2745,plain,
% 2.86/3.12 (r(s(s(s(elem!1))), s(elem!1))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2588, 2744])).
% 2.86/3.12 tff(2746,plain,
% 2.86/3.12 (r(s(s(s(z))), s(z))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[2745, 2743])).
% 2.86/3.12 tff(2747,plain,
% 2.86/3.12 (b(s(z), s(s(z))) <=> b(s(elem!1), s(s(elem!1)))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[2739, 2740])).
% 2.86/3.12 tff(2748,plain,
% 2.86/3.12 (b(s(elem!1), s(s(elem!1))) <=> b(s(z), s(s(z)))),
% 2.86/3.12 inference(symmetry,[status(thm)],[2747])).
% 2.96/3.12 tff(2749,plain,
% 2.96/3.12 ((z = elem!1) <=> (elem!1 = z)),
% 2.96/3.12 inference(symmetry,[status(thm)],[711])).
% 2.96/3.12 tff(2750,plain,
% 2.96/3.12 (elem!1 = z),
% 2.96/3.12 inference(modus_ponens,[status(thm)],[703, 2749])).
% 2.96/3.12 tff(2751,plain,
% 2.96/3.12 ($false),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[719, 2750])).
% 2.96/3.12 tff(2752,plain,((~(z = elem!1)) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 2.96/3.12 tff(2753,plain,
% 2.96/3.12 (elem!1 = z),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[2752, 2738])).
% 2.96/3.12 tff(2754,plain,
% 2.96/3.12 (r(s(elem!1), elem!1) <=> r(s(elem!1), z)),
% 2.96/3.12 inference(monotonicity,[status(thm)],[712])).
% 2.96/3.12 tff(2755,plain,
% 2.96/3.12 (r(s(elem!1), z) <=> r(s(elem!1), elem!1)),
% 2.96/3.12 inference(symmetry,[status(thm)],[2754])).
% 2.96/3.12 tff(2756,plain,
% 2.96/3.12 ((~r(s(elem!1), z)) <=> (~r(s(elem!1), elem!1))),
% 2.96/3.12 inference(monotonicity,[status(thm)],[2755])).
% 2.96/3.12 tff(2757,plain,
% 2.96/3.12 (~r(s(elem!1), elem!1)),
% 2.96/3.12 inference(modus_ponens,[status(thm)],[1807, 2756])).
% 2.96/3.12 tff(2758,plain,
% 2.96/3.12 ($false),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[295, 2757])).
% 2.96/3.12 tff(2759,plain,((~(elem!1 = z)) | (~r(s(elem!1), elem!1)) | r(s(elem!1), z)), inference(lemma,lemma(discharge,[]))).
% 2.96/3.12 tff(2760,plain,
% 2.96/3.12 (r(s(elem!1), z)),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[2759, 2753, 295])).
% 2.96/3.12 tff(2761,plain,
% 2.96/3.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z)))),
% 2.96/3.12 inference(rewrite,[status(thm)],[])).
% 2.96/3.12 tff(2762,plain,
% 2.96/3.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z)))),
% 2.96/3.12 inference(quant_inst,[status(thm)],[])).
% 2.96/3.12 tff(2763,plain,
% 2.96/3.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z))),
% 2.96/3.12 inference(modus_ponens,[status(thm)],[2762, 2761])).
% 2.96/3.12 tff(2764,plain,
% 2.96/3.12 ((~r(z, elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z))),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[2763, 82])).
% 2.96/3.12 tff(2765,plain,
% 2.96/3.12 (~r(z, elem!1)),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[2764, 1815, 295])).
% 2.96/3.12 tff(2766,plain,
% 2.96/3.12 (z = elem!1),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[353, 2765, 177])).
% 2.96/3.12 tff(2767,plain,
% 2.96/3.12 (s(z) = s(elem!1)),
% 2.96/3.12 inference(monotonicity,[status(thm)],[2766])).
% 2.96/3.12 tff(2768,plain,
% 2.96/3.12 (b(s(z), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 2.96/3.12 inference(monotonicity,[status(thm)],[2767])).
% 2.96/3.12 tff(2769,plain,
% 2.96/3.12 (b(s(elem!1), s(s(elem!1))) <=> b(s(z), s(s(elem!1)))),
% 2.96/3.12 inference(symmetry,[status(thm)],[2768])).
% 2.96/3.12 tff(2770,plain,
% 2.96/3.12 ((~b(s(elem!1), s(s(elem!1)))) <=> (~b(s(z), s(s(elem!1))))),
% 2.96/3.12 inference(monotonicity,[status(thm)],[2769])).
% 2.96/3.12 tff(2771,assumption,(~b(s(elem!1), s(s(elem!1)))), introduced(assumption)).
% 2.96/3.12 tff(2772,plain,
% 2.96/3.12 (~b(s(z), s(s(elem!1)))),
% 2.96/3.12 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 2.96/3.12 tff(2773,plain,
% 2.96/3.12 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 2.96/3.12 inference(monotonicity,[status(thm)],[2767])).
% 2.96/3.12 tff(2774,plain,
% 2.96/3.12 (r(s(elem!1), s(s(elem!1))) <=> r(s(z), s(s(elem!1)))),
% 2.96/3.12 inference(symmetry,[status(thm)],[2773])).
% 2.96/3.12 tff(2775,plain,
% 2.96/3.12 ((~r(s(elem!1), s(s(elem!1)))) <=> (~r(s(z), s(s(elem!1))))),
% 2.96/3.12 inference(monotonicity,[status(thm)],[2774])).
% 2.96/3.12 tff(2776,plain,
% 2.96/3.12 (~r(s(elem!1), s(s(elem!1)))),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[1823, 1815, 165])).
% 2.96/3.12 tff(2777,plain,
% 2.96/3.12 (~r(s(z), s(s(elem!1)))),
% 2.96/3.12 inference(modus_ponens,[status(thm)],[2776, 2775])).
% 2.96/3.12 tff(2778,plain,
% 2.96/3.12 ($false),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[743, 2777, 2772])).
% 2.96/3.12 tff(2779,plain,((~r(s(elem!1), z)) | b(s(elem!1), s(s(elem!1))) | b(z, elem!1) | (~r(s(elem!1), elem!1)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.12 tff(2780,plain,
% 2.96/3.12 (b(s(elem!1), s(s(elem!1)))),
% 2.96/3.12 inference(unit_resolution,[status(thm)],[2779, 2760, 165, 177, 295])).
% 2.96/3.12 tff(2781,plain,
% 2.96/3.12 (b(s(z), s(s(z)))),
% 2.96/3.12 inference(modus_ponens,[status(thm)],[2780, 2748])).
% 2.96/3.13 tff(2782,plain,
% 2.96/3.13 (b(z, s(z)) <=> b(elem!1, s(z))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[703])).
% 2.96/3.13 tff(2783,plain,
% 2.96/3.13 (b(elem!1, s(z)) <=> b(z, s(z))),
% 2.96/3.13 inference(symmetry,[status(thm)],[2782])).
% 2.96/3.13 tff(2784,plain,
% 2.96/3.13 ((~b(elem!1, s(z))) <=> (~b(z, s(z)))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2783])).
% 2.96/3.13 tff(2785,plain,
% 2.96/3.13 (~b(z, s(z))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[814, 2784])).
% 2.96/3.13 tff(2786,plain,
% 2.96/3.13 ($false),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[486, 2785])).
% 2.96/3.13 tff(2787,plain,((~(z = elem!1)) | (~b(z, s(z))) | b(elem!1, s(z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.13 tff(2788,plain,
% 2.96/3.13 (~b(z, s(z))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2787, 2738, 814])).
% 2.96/3.13 tff(2789,plain,
% 2.96/3.13 (r(z, s(z))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[403, 2788])).
% 2.96/3.13 tff(2790,plain,
% 2.96/3.13 (r(s(s(z)), s(s(s(z)))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2740, 2741])).
% 2.96/3.13 tff(2791,plain,
% 2.96/3.13 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(z)), s(s(s(z))))),
% 2.96/3.13 inference(symmetry,[status(thm)],[2790])).
% 2.96/3.13 tff(2792,plain,
% 2.96/3.13 (r(s(s(z)), s(s(s(z))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2257, 2791])).
% 2.96/3.13 tff(2793,assumption,(~r(z, s(s(s(elem!1))))), introduced(assumption)).
% 2.96/3.13 tff(2794,plain,
% 2.96/3.13 (b(z, s(s(s(elem!1))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[1373, 2793])).
% 2.96/3.13 tff(2795,plain,
% 2.96/3.13 (~(s(s(s(elem!1))) = elem!1)),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2149, 177, 2794])).
% 2.96/3.13 tff(2796,plain,
% 2.96/3.13 (~(elem!1 = s(s(s(elem!1))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[1924, 2795])).
% 2.96/3.13 tff(2797,plain,
% 2.96/3.13 (r(elem!1, s(s(s(elem!1)))) <=> r(z, s(s(s(elem!1))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[712])).
% 2.96/3.13 tff(2798,plain,
% 2.96/3.13 (r(z, s(s(s(elem!1)))) <=> r(elem!1, s(s(s(elem!1))))),
% 2.96/3.13 inference(symmetry,[status(thm)],[2797])).
% 2.96/3.13 tff(2799,plain,
% 2.96/3.13 ((~r(z, s(s(s(elem!1))))) <=> (~r(elem!1, s(s(s(elem!1)))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2798])).
% 2.96/3.13 tff(2800,plain,
% 2.96/3.13 (~r(elem!1, s(s(s(elem!1))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2793, 2799])).
% 2.96/3.13 tff(2801,plain,
% 2.96/3.13 ($false),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[1950, 2800])).
% 2.96/3.13 tff(2802,plain,((~(elem!1 = z)) | (~r(elem!1, s(s(s(elem!1))))) | r(z, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.13 tff(2803,plain,
% 2.96/3.13 (~r(elem!1, s(s(s(elem!1))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2802, 2753, 2793])).
% 2.96/3.13 tff(2804,plain,
% 2.96/3.13 (b(elem!1, s(s(s(elem!1))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[1946, 2803, 2796])).
% 2.96/3.13 tff(2805,plain,
% 2.96/3.13 (b(s(s(s(elem!1))), elem!1)),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2162, 2795, 2582])).
% 2.96/3.13 tff(2806,plain,
% 2.96/3.13 (s(z) = s(elem!1)),
% 2.96/3.13 inference(monotonicity,[status(thm)],[703])).
% 2.96/3.13 tff(2807,plain,
% 2.96/3.13 (s(s(z)) = s(s(elem!1))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2806])).
% 2.96/3.13 tff(2808,plain,
% 2.96/3.13 (s(s(s(z))) = s(s(s(elem!1)))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2807])).
% 2.96/3.13 tff(2809,plain,
% 2.96/3.13 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(s(elem!1))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2808])).
% 2.96/3.13 tff(2810,plain,
% 2.96/3.13 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(z))))),
% 2.96/3.13 inference(symmetry,[status(thm)],[2809])).
% 2.96/3.13 tff(2811,plain,
% 2.96/3.13 (b(elem!1, s(s(s(z))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[1929, 2810])).
% 2.96/3.13 tff(2812,plain,
% 2.96/3.13 (b(s(s(s(z))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2808])).
% 2.96/3.13 tff(2813,plain,
% 2.96/3.13 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(z))), elem!1)),
% 2.96/3.13 inference(symmetry,[status(thm)],[2812])).
% 2.96/3.13 tff(2814,plain,
% 2.96/3.13 (b(s(s(s(z))), elem!1)),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2636, 2813])).
% 2.96/3.13 tff(2815,plain,
% 2.96/3.13 ((s(s(s(s(z)))) = z) <=> (s(s(s(s(z)))) = elem!1)),
% 2.96/3.13 inference(monotonicity,[status(thm)],[703])).
% 2.96/3.13 tff(2816,plain,
% 2.96/3.13 ((s(s(s(s(z)))) = z) <=> (elem!1 = s(s(s(s(z)))))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2815, 139])).
% 2.96/3.13 tff(2817,plain,
% 2.96/3.13 ((s(s(s(s(z)))) = z) <=> (s(s(s(s(z)))) = elem!1)),
% 2.96/3.13 inference(transitivity,[status(thm)],[2816, 1058])).
% 2.96/3.13 tff(2818,plain,
% 2.96/3.13 ((~(s(s(s(s(z)))) = z)) <=> (~(s(s(s(s(z)))) = elem!1))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2817])).
% 2.96/3.13 tff(2819,plain,
% 2.96/3.13 (~(s(s(s(s(z)))) = elem!1)),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[123, 2818])).
% 2.96/3.13 tff(2820,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2807])).
% 2.96/3.13 tff(2821,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 2.96/3.13 inference(symmetry,[status(thm)],[2820])).
% 2.96/3.13 tff(2822,plain,
% 2.96/3.13 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2808])).
% 2.96/3.13 tff(2823,plain,
% 2.96/3.13 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 2.96/3.13 inference(symmetry,[status(thm)],[2822])).
% 2.96/3.13 tff(2824,plain,
% 2.96/3.13 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2823])).
% 2.96/3.13 tff(2825,plain,
% 2.96/3.13 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2824, 2821])).
% 2.96/3.13 tff(2826,plain,
% 2.96/3.13 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2823])).
% 2.96/3.13 tff(2827,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.96/3.13 inference(symmetry,[status(thm)],[2826])).
% 2.96/3.13 tff(2828,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2808])).
% 2.96/3.13 tff(2829,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2828, 2827])).
% 2.96/3.13 tff(2830,plain,
% 2.96/3.13 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[987, 2829])).
% 2.96/3.13 tff(2831,plain,
% 2.96/3.13 ((s(s(s(s(elem!1)))) = elem!1) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 2.96/3.13 inference(commutativity,[status(thm)],[])).
% 2.96/3.13 tff(2832,plain,
% 2.96/3.13 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 2.96/3.13 inference(monotonicity,[status(thm)],[703])).
% 2.96/3.13 tff(2833,plain,
% 2.96/3.13 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2832, 2831])).
% 2.96/3.13 tff(2834,plain,
% 2.96/3.13 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2833])).
% 2.96/3.13 tff(2835,plain,
% 2.96/3.13 (~(elem!1 = s(s(s(s(elem!1)))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[1633, 2834])).
% 2.96/3.13 tff(2836,plain,
% 2.96/3.13 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[703])).
% 2.96/3.13 tff(2837,plain,
% 2.96/3.13 (r(elem!1, s(s(elem!1)))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[165, 2836])).
% 2.96/3.13 tff(2838,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2839,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 2.96/3.13 inference(quant_inst,[status(thm)],[])).
% 2.96/3.13 tff(2840,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(elem!1))))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 2.96/3.13 tff(2841,plain,
% 2.96/3.13 (~r(elem!1, s(s(s(s(elem!1)))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2840, 82, 2837, 1653])).
% 2.96/3.13 tff(2842,plain,
% 2.96/3.13 (r(s(s(s(s(elem!1)))), z) <=> r(s(s(s(s(z)))), elem!1)),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2823, 703])).
% 2.96/3.13 tff(2843,plain,
% 2.96/3.13 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(elem!1)))), z)),
% 2.96/3.13 inference(symmetry,[status(thm)],[2842])).
% 2.96/3.13 tff(2844,plain,
% 2.96/3.13 (r(s(s(s(s(z)))), z) <=> r(s(s(s(s(z)))), elem!1)),
% 2.96/3.13 inference(monotonicity,[status(thm)],[703])).
% 2.96/3.13 tff(2845,plain,
% 2.96/3.13 (r(s(s(s(s(z)))), z) <=> r(s(s(s(s(elem!1)))), z)),
% 2.96/3.13 inference(transitivity,[status(thm)],[2844, 2843])).
% 2.96/3.13 tff(2846,plain,
% 2.96/3.13 (r(s(s(s(s(elem!1)))), z)),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[1122, 2845])).
% 2.96/3.13 tff(2847,plain,
% 2.96/3.13 ($false),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[1630, 2846])).
% 2.96/3.13 tff(2848,plain,((~r(s(s(s(s(z)))), z)) | r(s(s(s(s(elem!1)))), z) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.13 tff(2849,plain,
% 2.96/3.13 (~r(s(s(s(s(z)))), z)),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2848, 1676, 703])).
% 2.96/3.13 tff(2850,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), z)),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[127, 2849])).
% 2.96/3.13 tff(2851,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2822])).
% 2.96/3.13 tff(2852,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), z) <=> b(s(s(s(s(z)))), elem!1)),
% 2.96/3.13 inference(monotonicity,[status(thm)],[703])).
% 2.96/3.13 tff(2853,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), z) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 2.96/3.13 inference(transitivity,[status(thm)],[2852, 2851])).
% 2.96/3.13 tff(2854,plain,
% 2.96/3.13 (b(s(s(s(s(elem!1)))), elem!1)),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[175, 2853])).
% 2.96/3.13 tff(2855,plain,
% 2.96/3.13 ($false),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[1591, 2854])).
% 2.96/3.13 tff(2856,plain,((~b(s(s(s(s(z)))), z)) | b(s(s(s(s(elem!1)))), elem!1) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.13 tff(2857,plain,
% 2.96/3.13 (b(s(s(s(s(elem!1)))), elem!1)),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2856, 2850, 703])).
% 2.96/3.13 tff(2858,plain,
% 2.96/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2859,plain,
% 2.96/3.13 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2860,plain,
% 2.96/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2859])).
% 2.96/3.13 tff(2861,plain,
% 2.96/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2860, 2858])).
% 2.96/3.13 tff(2862,plain,
% 2.96/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 2.96/3.13 inference(quant_inst,[status(thm)],[])).
% 2.96/3.13 tff(2863,plain,
% 2.96/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2862, 2861])).
% 2.96/3.13 tff(2864,plain,
% 2.96/3.13 (~b(elem!1, s(s(s(s(elem!1)))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2863, 338, 1929, 2636, 2208, 2857])).
% 2.96/3.13 tff(2865,plain,
% 2.96/3.13 ($false),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2297, 2864, 2841, 2835])).
% 2.96/3.13 tff(2866,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~(z = elem!1)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.13 tff(2867,plain,
% 2.96/3.13 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2866, 2830, 2636, 1929, 703, 165])).
% 2.96/3.13 tff(2868,plain,
% 2.96/3.13 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[1651, 2867, 1496])).
% 2.96/3.13 tff(2869,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), s(s(z)))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2868, 2825])).
% 2.96/3.13 tff(2870,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2871,plain,
% 2.96/3.13 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2872,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2871])).
% 2.96/3.13 tff(2873,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2872, 2870])).
% 2.96/3.13 tff(2874,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.13 inference(quant_inst,[status(thm)],[])).
% 2.96/3.13 tff(2875,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 2.96/3.13 tff(2876,plain,
% 2.96/3.13 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2875, 82, 108, 427])).
% 2.96/3.13 tff(2877,plain,
% 2.96/3.13 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[689, 2876])).
% 2.96/3.13 tff(2878,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2879,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.96/3.13 inference(quant_inst,[status(thm)],[])).
% 2.96/3.13 tff(2880,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2879, 2878])).
% 2.96/3.13 tff(2881,plain,
% 2.96/3.13 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2880, 82, 108, 427])).
% 2.96/3.13 tff(2882,plain,
% 2.96/3.13 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[1011, 2881])).
% 2.96/3.13 tff(2883,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2884,plain,
% 2.96/3.13 (((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2885,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2884])).
% 2.96/3.13 tff(2886,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2885, 2883])).
% 2.96/3.13 tff(2887,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))),
% 2.96/3.13 inference(quant_inst,[status(thm)],[])).
% 2.96/3.13 tff(2888,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2887, 2886])).
% 2.96/3.13 tff(2889,plain,
% 2.96/3.13 ($false),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2888, 82, 1731, 164, 427])).
% 2.96/3.13 tff(2890,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.13 tff(2891,plain,
% 2.96/3.13 (~r(z, s(s(s(z))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2890, 427, 1731])).
% 2.96/3.13 tff(2892,plain,
% 2.96/3.13 (b(z, s(s(s(z))))),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[149, 2891])).
% 2.96/3.13 tff(2893,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2894,plain,
% 2.96/3.13 (((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z))) <=> ((~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2895,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2894])).
% 2.96/3.13 tff(2896,plain,
% 2.96/3.13 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2895, 2893])).
% 2.96/3.13 tff(2897,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)))),
% 2.96/3.13 inference(quant_inst,[status(thm)],[])).
% 2.96/3.13 tff(2898,plain,
% 2.96/3.13 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 2.96/3.13 tff(2899,plain,
% 2.96/3.13 (~r(s(s(s(z))), z)),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2898, 82, 1731, 427])).
% 2.96/3.13 tff(2900,plain,
% 2.96/3.13 (b(s(s(s(z))), z)),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[135, 2899])).
% 2.96/3.13 tff(2901,plain,
% 2.96/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2902,plain,
% 2.96/3.13 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.13 inference(rewrite,[status(thm)],[])).
% 2.96/3.13 tff(2903,plain,
% 2.96/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 2.96/3.13 inference(monotonicity,[status(thm)],[2902])).
% 2.96/3.13 tff(2904,plain,
% 2.96/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.13 inference(transitivity,[status(thm)],[2903, 2901])).
% 2.96/3.13 tff(2905,plain,
% 2.96/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 2.96/3.13 inference(quant_inst,[status(thm)],[])).
% 2.96/3.13 tff(2906,plain,
% 2.96/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 2.96/3.13 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 2.96/3.13 tff(2907,plain,
% 2.96/3.13 ($false),
% 2.96/3.13 inference(unit_resolution,[status(thm)],[2906, 338, 2900, 2892, 2882, 2877, 2365])).
% 2.96/3.13 tff(2908,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(2909,plain,
% 2.96/3.14 (~r(s(s(s(s(z)))), s(z))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2908, 427, 1731])).
% 2.96/3.14 tff(2910,plain,
% 2.96/3.14 (b(s(s(s(s(z)))), s(z))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[118, 2909, 100])).
% 2.96/3.14 tff(2911,assumption,(b(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 2.96/3.14 tff(2912,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2913,plain,
% 2.96/3.14 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2914,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2913])).
% 2.96/3.14 tff(2915,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 2.96/3.14 inference(transitivity,[status(thm)],[2914, 2912])).
% 2.96/3.14 tff(2916,plain,
% 2.96/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.96/3.14 inference(quant_inst,[status(thm)],[])).
% 2.96/3.14 tff(2917,plain,
% 2.96/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[2916, 2915])).
% 2.96/3.14 tff(2918,plain,
% 2.96/3.14 ($false),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2917, 338, 475, 651, 474, 2911, 540])).
% 2.96/3.14 tff(2919,plain,((~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(2920,plain,
% 2.96/3.14 (~b(s(s(z)), s(z))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2919, 474, 651, 2910, 540])).
% 2.96/3.14 tff(2921,plain,
% 2.96/3.14 (r(s(s(z)), s(z))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[470, 21, 2920, 449])).
% 2.96/3.14 tff(2922,plain,
% 2.96/3.14 (~r(s(s(z)), z)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2524, 82, 1731, 2921])).
% 2.96/3.14 tff(2923,plain,
% 2.96/3.14 (b(s(s(z)), z)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[497, 21, 56, 2922])).
% 2.96/3.14 tff(2924,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2925,plain,
% 2.96/3.14 (((~r(s(s(s(z))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z)))))) <=> ((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2926,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2925])).
% 2.96/3.14 tff(2927,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.14 inference(transitivity,[status(thm)],[2926, 2924])).
% 2.96/3.14 tff(2928,plain,
% 2.96/3.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))))),
% 2.96/3.14 inference(quant_inst,[status(thm)],[])).
% 2.96/3.14 tff(2929,plain,
% 2.96/3.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 2.96/3.14 tff(2930,plain,
% 2.96/3.14 (~r(s(s(z)), s(s(s(z))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2929, 82, 427, 2921])).
% 2.96/3.14 tff(2931,plain,
% 2.96/3.14 (b(s(s(z)), s(s(s(z))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[534, 2930])).
% 2.96/3.14 tff(2932,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2933,plain,
% 2.96/3.14 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2934,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2933])).
% 2.96/3.14 tff(2935,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 2.96/3.14 inference(transitivity,[status(thm)],[2934, 2932])).
% 2.96/3.14 tff(2936,plain,
% 2.96/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.96/3.14 inference(quant_inst,[status(thm)],[])).
% 2.96/3.14 tff(2937,plain,
% 2.96/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 2.96/3.14 tff(2938,plain,
% 2.96/3.14 ($false),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2937, 338, 2931, 2892, 2923, 474, 2910, 540])).
% 2.96/3.14 tff(2939,plain,((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(2940,plain,
% 2.96/3.14 (~b(s(z), s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2939, 2869, 1731, 474, 427])).
% 2.96/3.14 tff(2941,plain,
% 2.96/3.14 (r(s(z), s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[106, 2940])).
% 2.96/3.14 tff(2942,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2943,plain,
% 2.96/3.14 (((~r(s(s(s(s(z)))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2944,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2943])).
% 2.96/3.14 tff(2945,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.96/3.14 inference(transitivity,[status(thm)],[2944, 2942])).
% 2.96/3.14 tff(2946,plain,
% 2.96/3.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.96/3.14 inference(quant_inst,[status(thm)],[])).
% 2.96/3.14 tff(2947,plain,
% 2.96/3.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[2946, 2945])).
% 2.96/3.14 tff(2948,plain,
% 2.96/3.14 ($false),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2947, 82, 754, 72, 1147])).
% 2.96/3.14 tff(2949,plain,((~r(s(s(s(s(z)))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(2950,plain,
% 2.96/3.14 (~r(s(s(s(s(z)))), elem!1)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2949, 2941, 754])).
% 2.96/3.14 tff(2951,plain,
% 2.96/3.14 (b(s(s(s(s(z)))), elem!1)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[1144, 2950, 2819])).
% 2.96/3.14 tff(2952,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2953,plain,
% 2.96/3.14 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2954,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2953])).
% 2.96/3.14 tff(2955,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.14 inference(transitivity,[status(thm)],[2954, 2952])).
% 2.96/3.14 tff(2956,plain,
% 2.96/3.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.14 inference(quant_inst,[status(thm)],[])).
% 2.96/3.14 tff(2957,plain,
% 2.96/3.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 2.96/3.14 tff(2958,plain,
% 2.96/3.14 ($false),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2957, 82, 72, 911, 427])).
% 2.96/3.14 tff(2959,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(2960,plain,
% 2.96/3.14 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2959, 2941, 427])).
% 2.96/3.14 tff(2961,plain,
% 2.96/3.14 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[689, 2960])).
% 2.96/3.14 tff(2962,plain,
% 2.96/3.14 ($false),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2389, 2961, 2951, 2814, 987, 2811])).
% 2.96/3.14 tff(2963,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), elem!1)) | (~r(z, s(z))) | (~b(s(z), s(s(z)))) | (~(z = elem!1)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(2964,plain,
% 2.96/3.14 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2963, 2746, 754, 2789, 2781, 2738, 1496, 2805, 2804, 165])).
% 2.96/3.14 tff(2965,plain,
% 2.96/3.14 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[1011, 2964])).
% 2.96/3.14 tff(2966,plain,
% 2.96/3.14 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[1457, 2965, 2792])).
% 2.96/3.14 tff(2967,plain,
% 2.96/3.14 (b(s(s(s(s(z)))), s(s(z)))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[68, 2966])).
% 2.96/3.14 tff(2968,plain,
% 2.96/3.14 (~b(s(z), s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2939, 2967, 2789, 2781, 2746])).
% 2.96/3.14 tff(2969,plain,
% 2.96/3.14 (r(s(z), s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[106, 2968])).
% 2.96/3.14 tff(2970,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2971,plain,
% 2.96/3.14 (((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(2972,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2971])).
% 2.96/3.14 tff(2973,plain,
% 2.96/3.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 2.96/3.14 inference(transitivity,[status(thm)],[2972, 2970])).
% 2.96/3.14 tff(2974,plain,
% 2.96/3.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.96/3.14 inference(quant_inst,[status(thm)],[])).
% 2.96/3.14 tff(2975,plain,
% 2.96/3.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[2974, 2973])).
% 2.96/3.14 tff(2976,plain,
% 2.96/3.14 ($false),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2975, 82, 405, 72, 1122])).
% 2.96/3.14 tff(2977,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(2978,plain,
% 2.96/3.14 (~r(s(s(s(s(z)))), z)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2977, 2969, 405])).
% 2.96/3.14 tff(2979,plain,
% 2.96/3.14 (b(s(s(s(s(z)))), z)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[127, 2978])).
% 2.96/3.14 tff(2980,plain,
% 2.96/3.14 (b(s(s(s(s(elem!1)))), elem!1)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2856, 2979, 2738])).
% 2.96/3.14 tff(2981,plain,
% 2.96/3.14 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2741])).
% 2.96/3.14 tff(2982,plain,
% 2.96/3.14 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 2.96/3.14 inference(symmetry,[status(thm)],[2981])).
% 2.96/3.14 tff(2983,plain,
% 2.96/3.14 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2982])).
% 2.96/3.14 tff(2984,plain,
% 2.96/3.14 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 2.96/3.14 inference(symmetry,[status(thm)],[2983])).
% 2.96/3.14 tff(2985,plain,
% 2.96/3.14 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2741])).
% 2.96/3.14 tff(2986,plain,
% 2.96/3.14 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 2.96/3.14 inference(transitivity,[status(thm)],[2985, 2984])).
% 2.96/3.14 tff(2987,plain,
% 2.96/3.14 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2959, 2969, 2746])).
% 2.96/3.14 tff(2988,plain,
% 2.96/3.14 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[689, 2987])).
% 2.96/3.14 tff(2989,plain,
% 2.96/3.14 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[2988, 2986])).
% 2.96/3.14 tff(2990,plain,
% 2.96/3.14 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2738])).
% 2.96/3.14 tff(2991,plain,
% 2.96/3.14 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 2.96/3.14 inference(transitivity,[status(thm)],[2990, 2831])).
% 2.96/3.14 tff(2992,plain,
% 2.96/3.14 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2991])).
% 2.96/3.14 tff(2993,plain,
% 2.96/3.14 (~(elem!1 = s(s(s(s(elem!1)))))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[1633, 2992])).
% 2.96/3.14 tff(2994,plain,
% 2.96/3.14 (~r(z, s(s(s(s(z)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[552, 2969, 405])).
% 2.96/3.14 tff(2995,plain,
% 2.96/3.14 (s(elem!1) = s(z)),
% 2.96/3.14 inference(monotonicity,[status(thm)],[712])).
% 2.96/3.14 tff(2996,plain,
% 2.96/3.14 (s(s(elem!1)) = s(s(z))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2995])).
% 2.96/3.14 tff(2997,plain,
% 2.96/3.14 (s(s(s(elem!1))) = s(s(s(z)))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2996])).
% 2.96/3.14 tff(2998,plain,
% 2.96/3.14 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2997])).
% 2.96/3.14 tff(2999,plain,
% 2.96/3.14 (r(z, s(s(s(s(elem!1))))) <=> r(z, s(s(s(s(z)))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[2998])).
% 2.96/3.14 tff(3000,plain,
% 2.96/3.14 (r(elem!1, s(s(s(s(elem!1))))) <=> r(z, s(s(s(s(elem!1)))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[712])).
% 2.96/3.14 tff(3001,plain,
% 2.96/3.14 (r(elem!1, s(s(s(s(elem!1))))) <=> r(z, s(s(s(s(z)))))),
% 2.96/3.14 inference(transitivity,[status(thm)],[3000, 2999])).
% 2.96/3.14 tff(3002,plain,
% 2.96/3.14 (r(z, s(s(s(s(z)))))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[2284, 3001])).
% 2.96/3.14 tff(3003,plain,
% 2.96/3.14 ($false),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[385, 3002])).
% 2.96/3.14 tff(3004,plain,((~r(elem!1, s(s(s(s(elem!1)))))) | r(z, s(s(s(s(z))))) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(3005,plain,
% 2.96/3.14 (~r(elem!1, s(s(s(s(elem!1)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[3004, 2994, 2753])).
% 2.96/3.14 tff(3006,plain,
% 2.96/3.14 (b(elem!1, s(s(s(s(elem!1)))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[2297, 3005, 2993])).
% 2.96/3.14 tff(3007,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(3008,plain,
% 2.96/3.14 (((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1))))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(3009,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 2.96/3.14 inference(monotonicity,[status(thm)],[3008])).
% 2.96/3.14 tff(3010,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 2.96/3.14 inference(transitivity,[status(thm)],[3009, 3007])).
% 2.96/3.14 tff(3011,plain,
% 2.96/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 2.96/3.14 inference(quant_inst,[status(thm)],[])).
% 2.96/3.14 tff(3012,plain,
% 2.96/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 2.96/3.14 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 2.96/3.14 tff(3013,plain,
% 2.96/3.14 ($false),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[3012, 338, 3006, 2804, 2805, 2989, 2980])).
% 2.96/3.14 tff(3014,plain,(b(z, elem!1) | (~r(s(z), z)) | (~r(s(z), elem!1)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(elem!1), elem!1)) | r(z, s(s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1) | b(elem!1, s(z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.14 tff(3015,plain,
% 2.96/3.14 (b(z, elem!1)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[3014, 405, 754, 2737, 162, 2736, 2588, 2734, 2731, 2582, 814])).
% 2.96/3.14 tff(3016,plain,
% 2.96/3.14 (b(z, s(s(s(elem!1))))),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[1373, 2731])).
% 2.96/3.14 tff(3017,plain,
% 2.96/3.14 (~r(elem!1, z)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[811, 405, 2603])).
% 2.96/3.14 tff(3018,plain,
% 2.96/3.14 (~(elem!1 = z)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[1036, 3015])).
% 2.96/3.14 tff(3019,plain,
% 2.96/3.14 (b(elem!1, z)),
% 2.96/3.14 inference(unit_resolution,[status(thm)],[846, 3018, 3017])).
% 2.96/3.14 tff(3020,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(3021,plain,
% 2.96/3.14 (((~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 2.96/3.14 inference(rewrite,[status(thm)],[])).
% 2.96/3.14 tff(3022,plain,
% 2.96/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3021])).
% 2.96/3.15 tff(3023,plain,
% 2.96/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 2.96/3.15 inference(transitivity,[status(thm)],[3022, 3020])).
% 2.96/3.15 tff(3024,plain,
% 2.96/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3025,plain,
% 2.96/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3024, 3023])).
% 2.96/3.15 tff(3026,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3025, 338, 1021, 1131, 1595, 1596, 2636])).
% 2.96/3.15 tff(3027,plain,((~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3028,plain,
% 2.96/3.15 (~b(s(s(s(elem!1))), elem!1)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3027, 3019, 3016, 3015, 2601])).
% 2.96/3.15 tff(3029,plain,
% 2.96/3.15 (s(s(s(elem!1))) = elem!1),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[2162, 3028, 2582])).
% 2.96/3.15 tff(3030,plain,
% 2.96/3.15 (~b(s(elem!1), s(s(s(elem!1))))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[2676, 3029, 305])).
% 2.96/3.15 tff(3031,plain,
% 2.96/3.15 (~(z = elem!1)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[2752, 3018])).
% 2.96/3.15 tff(3032,plain,
% 2.96/3.15 (~(s(elem!1) = s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1912, 3031])).
% 2.96/3.15 tff(3033,plain,
% 2.96/3.15 (~(s(elem!1) = s(s(elem!1)))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1786, 2728])).
% 2.96/3.15 tff(3034,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3035,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3036,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(elem!1))))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 2.96/3.15 tff(3037,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3036, 82, 1294, 2588, 786])).
% 2.96/3.15 tff(3038,plain,((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3039,plain,
% 2.96/3.15 (~r(s(s(elem!1)), s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3038, 2730, 2588])).
% 2.96/3.15 tff(3040,plain,
% 2.96/3.15 (b(s(s(elem!1)), s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[784, 3039])).
% 2.96/3.15 tff(3041,plain,
% 2.96/3.15 (r(s(z), s(s(s(elem!1)))) <=> r(s(z), elem!1)),
% 2.96/3.15 inference(monotonicity,[status(thm)],[2143])).
% 2.96/3.15 tff(3042,plain,
% 2.96/3.15 (r(s(z), elem!1) <=> r(s(z), s(s(s(elem!1))))),
% 2.96/3.15 inference(symmetry,[status(thm)],[3041])).
% 2.96/3.15 tff(3043,plain,
% 2.96/3.15 (r(s(z), s(s(s(elem!1))))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[754, 3042])).
% 2.96/3.15 tff(3044,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1865, 3043])).
% 2.96/3.15 tff(3045,plain,((~r(s(z), elem!1)) | r(s(z), s(s(s(elem!1)))) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3046,plain,
% 2.96/3.15 (r(s(z), s(s(s(elem!1))))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3045, 2143, 754])).
% 2.96/3.15 tff(3047,assumption,(r(s(elem!1), s(z))), introduced(assumption)).
% 2.96/3.15 tff(3048,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3049,plain,
% 2.96/3.15 (((~r(s(z), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z)))) <=> ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3050,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(s(elem!1)))))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3049])).
% 2.96/3.15 tff(3051,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 2.96/3.15 inference(transitivity,[status(thm)],[3050, 3048])).
% 2.96/3.15 tff(3052,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3053,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(s(elem!1)))))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3052, 3051])).
% 2.96/3.15 tff(3054,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3053, 82, 1502, 1854, 3047])).
% 2.96/3.15 tff(3055,plain,((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3056,plain,
% 2.96/3.15 (~r(s(elem!1), s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3055, 3046, 1502])).
% 2.96/3.15 tff(3057,plain,
% 2.96/3.15 (b(s(elem!1), s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[2070, 3056, 1917])).
% 2.96/3.15 tff(3058,plain,
% 2.96/3.15 (~(s(z) = s(elem!1))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1919, 1917])).
% 2.96/3.15 tff(3059,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3060,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1))))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3061,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(elem!1)))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3060, 3059])).
% 2.96/3.15 tff(3062,plain,
% 2.96/3.15 (~r(s(z), s(elem!1))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3061, 82, 295, 754])).
% 2.96/3.15 tff(3063,assumption,(~r(s(z), s(elem!1))), introduced(assumption)).
% 2.96/3.15 tff(3064,assumption,(~b(s(z), s(elem!1))), introduced(assumption)).
% 2.96/3.15 tff(3065,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1985, 21, 3064, 1949, 3063])).
% 2.96/3.15 tff(3066,plain,(r(s(z), s(elem!1)) | b(s(z), s(elem!1)) | (s(z) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3067,plain,
% 2.96/3.15 (b(s(z), s(elem!1))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3066, 3062, 3058])).
% 2.96/3.15 tff(3068,plain,
% 2.96/3.15 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[2143])).
% 2.96/3.15 tff(3069,plain,
% 2.96/3.15 (r(elem!1, s(s(elem!1)))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[1294, 3068])).
% 2.96/3.15 tff(3070,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3071,plain,
% 2.96/3.15 (((~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), elem!1))) <=> ((~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3072,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3071])).
% 2.96/3.15 tff(3073,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 2.96/3.15 inference(transitivity,[status(thm)],[3072, 3070])).
% 2.96/3.15 tff(3074,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), elem!1)))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3075,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 2.96/3.15 tff(3076,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3075, 82, 295, 279, 1814])).
% 2.96/3.15 tff(3077,plain,((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3078,plain,
% 2.96/3.15 (~r(s(elem!1), s(s(elem!1)))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3077, 3069, 295])).
% 2.96/3.15 tff(3079,assumption,(~r(s(elem!1), s(s(elem!1)))), introduced(assumption)).
% 2.96/3.15 tff(3080,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1827, 21, 3079, 2771, 1788])).
% 2.96/3.15 tff(3081,plain,(b(s(elem!1), s(s(elem!1))) | r(s(elem!1), s(s(elem!1))) | (s(elem!1) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3082,plain,
% 2.96/3.15 (b(s(elem!1), s(s(elem!1)))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3081, 3078, 1788])).
% 2.96/3.15 tff(3083,assumption,(b(s(z), s(elem!1))), introduced(assumption)).
% 2.96/3.15 tff(3084,assumption,(b(s(elem!1), s(z))), introduced(assumption)).
% 2.96/3.15 tff(3085,plain,
% 2.96/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3086,plain,
% 2.96/3.15 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3087,plain,
% 2.96/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3086])).
% 2.96/3.15 tff(3088,plain,
% 2.96/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.96/3.15 inference(transitivity,[status(thm)],[3087, 3085])).
% 2.96/3.15 tff(3089,plain,
% 2.96/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(elem!1)))))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3090,plain,
% 2.96/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1))))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 2.96/3.15 tff(3091,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3090, 338, 747, 764, 1620, 3084, 3083])).
% 2.96/3.15 tff(3092,plain,((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3093,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3092, 3082, 3067, 747, 764, 3057])).
% 2.96/3.15 tff(3094,plain,((~(s(s(s(elem!1))) = elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (s(elem!1) = s(s(elem!1))) | (~r(s(elem!1), elem!1)) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(z)) | (~r(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3095,plain,
% 2.96/3.15 (~r(s(elem!1), s(s(s(elem!1))))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3094, 3029, 3040, 3033, 2734, 754, 2730, 3032, 1196])).
% 2.96/3.15 tff(3096,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1515, 3095, 3030, 2727])).
% 2.96/3.15 tff(3097,plain,((~r(s(z), z)) | (~r(s(z), elem!1)) | b(s(elem!1), elem!1) | r(s(s(s(elem!1))), elem!1) | (~r(s(s(s(elem!1))), s(z))) | b(elem!1, s(z)) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3098,plain,
% 2.96/3.15 (~r(s(z), z)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3097, 814, 305, 2582, 2588, 2594, 2581, 1270, 140])).
% 2.96/3.15 tff(3099,plain,
% 2.96/3.15 (b(s(z), z)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[26, 3098])).
% 2.96/3.15 tff(3100,plain,
% 2.96/3.15 (b(s(z), elem!1) <=> b(s(z), z)),
% 2.96/3.15 inference(monotonicity,[status(thm)],[712])).
% 2.96/3.15 tff(3101,plain,
% 2.96/3.15 (b(s(z), z) <=> b(s(z), elem!1)),
% 2.96/3.15 inference(symmetry,[status(thm)],[3100])).
% 2.96/3.15 tff(3102,plain,
% 2.96/3.15 (b(s(z), elem!1)),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[1740, 3101])).
% 2.96/3.15 tff(3103,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1318, 3102])).
% 2.96/3.15 tff(3104,plain,((~(elem!1 = z)) | b(s(z), elem!1) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3105,plain,
% 2.96/3.15 (~(elem!1 = z)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3104, 3099, 1318])).
% 2.96/3.15 tff(3106,plain,
% 2.96/3.15 (~(z = elem!1)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[2752, 3105])).
% 2.96/3.15 tff(3107,plain,
% 2.96/3.15 (~(s(elem!1) = s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1912, 3106])).
% 2.96/3.15 tff(3108,plain,
% 2.96/3.15 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), elem!1)),
% 2.96/3.15 inference(monotonicity,[status(thm)],[2143])).
% 2.96/3.15 tff(3109,plain,
% 2.96/3.15 ((~b(s(s(elem!1)), s(s(s(elem!1))))) <=> (~b(s(s(elem!1)), elem!1))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3108])).
% 2.96/3.15 tff(3110,plain,
% 2.96/3.15 (~b(s(s(elem!1)), elem!1)),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[2581, 3109])).
% 2.96/3.15 tff(3111,plain,
% 2.96/3.15 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[2143])).
% 2.96/3.15 tff(3112,plain,
% 2.96/3.15 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 2.96/3.15 inference(transitivity,[status(thm)],[3111, 1051])).
% 2.96/3.15 tff(3113,plain,
% 2.96/3.15 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3112])).
% 2.96/3.15 tff(3114,plain,
% 2.96/3.15 (~(s(elem!1) = s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1912, 714])).
% 2.96/3.15 tff(3115,assumption,(s(s(s(elem!1))) = s(s(s(z)))), introduced(assumption)).
% 2.96/3.15 tff(3116,plain,
% 2.96/3.15 (inj_0(s(s(s(elem!1)))) = inj_0(s(s(s(z))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3115])).
% 2.96/3.15 tff(3117,plain,
% 2.96/3.15 (s(s(elem!1)) = s(s(z))),
% 2.96/3.15 inference(transitivity,[status(thm)],[205, 3116, 52])).
% 2.96/3.15 tff(3118,plain,
% 2.96/3.15 (inj_0(s(s(elem!1))) = inj_0(s(s(z)))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3117])).
% 2.96/3.15 tff(3119,plain,
% 2.96/3.15 (s(elem!1) = s(z)),
% 2.96/3.15 inference(transitivity,[status(thm)],[182, 3118, 40])).
% 2.96/3.15 tff(3120,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[1917, 3119])).
% 2.96/3.15 tff(3121,plain,((~(s(s(s(elem!1))) = s(s(s(z))))) | (s(elem!1) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3122,plain,
% 2.96/3.15 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3121, 3114])).
% 2.96/3.15 tff(3123,plain,
% 2.96/3.15 (~(s(s(s(z))) = elem!1)),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3122, 3113])).
% 2.96/3.15 tff(3124,plain,
% 2.96/3.15 (r(z, elem!1)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[353, 177, 714])).
% 2.96/3.15 tff(3125,assumption,(r(s(s(s(z))), elem!1)), introduced(assumption)).
% 2.96/3.15 tff(3126,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3127,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3128,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(z)))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3127, 3126])).
% 2.96/3.15 tff(3129,plain,
% 2.96/3.15 (~r(s(s(s(z))), s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3128, 82, 754, 3125])).
% 2.96/3.15 tff(3130,plain,
% 2.96/3.15 (b(s(s(s(z))), s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[436, 21, 58, 3129])).
% 2.96/3.15 tff(3131,plain,
% 2.96/3.15 (~r(s(z), z)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[757, 82, 234, 754])).
% 2.96/3.15 tff(3132,plain,
% 2.96/3.15 (b(s(z), z)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[26, 3131])).
% 2.96/3.15 tff(3133,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), z)))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3134,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), z)))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3135,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), z))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 2.96/3.15 tff(3136,plain,
% 2.96/3.15 (~r(s(s(s(z))), z)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3135, 82, 234, 3125])).
% 2.96/3.15 tff(3137,plain,
% 2.96/3.15 (b(s(s(s(z))), z)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[133, 21, 98, 3136])).
% 2.96/3.15 tff(3138,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(z, s(z))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3139,plain,
% 2.96/3.15 (((~r(s(z), elem!1)) | (~r(z, elem!1)) | (~r(z, s(z)))) <=> ((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(z, s(z))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3140,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(z, elem!1)) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(z, s(z)))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3139])).
% 2.96/3.15 tff(3141,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(z, elem!1)) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(z, s(z))))),
% 2.96/3.15 inference(transitivity,[status(thm)],[3140, 3138])).
% 2.96/3.15 tff(3142,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(z, elem!1)) | (~r(z, s(z))))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3143,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(z, s(z)))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 2.96/3.15 tff(3144,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3143, 82, 234, 754, 1731])).
% 2.96/3.15 tff(3145,plain,((~r(s(z), elem!1)) | (~r(z, elem!1)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3146,plain,
% 2.96/3.15 (~r(z, s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3145, 234, 754])).
% 2.96/3.15 tff(3147,plain,
% 2.96/3.15 (b(z, s(z))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[401, 21, 3146, 397])).
% 2.96/3.15 tff(3148,plain,
% 2.96/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3149,plain,
% 2.96/3.15 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3150,plain,
% 2.96/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3149])).
% 2.96/3.15 tff(3151,plain,
% 2.96/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.96/3.15 inference(transitivity,[status(thm)],[3150, 3148])).
% 2.96/3.15 tff(3152,plain,
% 2.96/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3153,plain,
% 2.96/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3152, 3151])).
% 2.96/3.15 tff(3154,plain,
% 2.96/3.15 (~b(z, s(s(s(z))))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3153, 338, 3147, 3137, 3132, 3130])).
% 2.96/3.15 tff(3155,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), elem!1)))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3156,plain,
% 2.96/3.15 (((~r(s(s(s(z))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(z)))))) <=> ((~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), elem!1)))),
% 2.96/3.15 inference(rewrite,[status(thm)],[])).
% 2.96/3.15 tff(3157,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), elem!1))))),
% 2.96/3.15 inference(monotonicity,[status(thm)],[3156])).
% 2.96/3.15 tff(3158,plain,
% 2.96/3.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), elem!1)))),
% 2.96/3.15 inference(transitivity,[status(thm)],[3157, 3155])).
% 2.96/3.15 tff(3159,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))))),
% 2.96/3.15 inference(quant_inst,[status(thm)],[])).
% 2.96/3.15 tff(3160,plain,
% 2.96/3.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), elem!1))),
% 2.96/3.15 inference(modus_ponens,[status(thm)],[3159, 3158])).
% 2.96/3.15 tff(3161,plain,
% 2.96/3.15 (~r(z, s(s(s(z))))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3160, 82, 234, 3125])).
% 2.96/3.15 tff(3162,plain,
% 2.96/3.15 ((z = s(s(s(z)))) | b(z, s(s(s(z))))),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[147, 21, 3161])).
% 2.96/3.15 tff(3163,plain,
% 2.96/3.15 ($false),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3162, 3154, 144])).
% 2.96/3.15 tff(3164,plain,((~r(s(s(s(z))), elem!1)) | (~r(z, elem!1)) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.15 tff(3165,plain,
% 2.96/3.15 (~r(s(s(s(z))), elem!1)),
% 2.96/3.15 inference(unit_resolution,[status(thm)],[3164, 3124, 754])).
% 2.96/3.16 tff(3166,plain,
% 2.96/3.16 (b(s(s(s(z))), elem!1)),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[1110, 3165, 3123])).
% 2.96/3.16 tff(3167,plain,
% 2.96/3.16 (s(s(s(s(elem!1)))) = s(elem!1)),
% 2.96/3.16 inference(monotonicity,[status(thm)],[2143])).
% 2.96/3.16 tff(3168,plain,
% 2.96/3.16 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3167])).
% 2.96/3.16 tff(3169,plain,
% 2.96/3.16 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3168])).
% 2.96/3.16 tff(3170,plain,
% 2.96/3.16 (s(s(s(s(s(s(elem!1)))))) = elem!1),
% 2.96/3.16 inference(transitivity,[status(thm)],[3169, 2143])).
% 2.96/3.16 tff(3171,plain,
% 2.96/3.16 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3170])).
% 2.96/3.16 tff(3172,plain,
% 2.96/3.16 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 2.96/3.16 inference(transitivity,[status(thm)],[3171, 1058])).
% 2.96/3.16 tff(3173,plain,
% 2.96/3.16 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3172])).
% 2.96/3.16 tff(3174,plain,
% 2.96/3.16 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 2.96/3.16 inference(quant_inst,[status(thm)],[])).
% 2.96/3.16 tff(3175,plain,
% 2.96/3.16 (inj_0(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3174, 38])).
% 2.96/3.16 tff(3176,plain,
% 2.96/3.16 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(elem!1))))))) = s(s(s(s(s(elem!1))))))),
% 2.96/3.16 inference(quant_inst,[status(thm)],[])).
% 2.96/3.16 tff(3177,plain,
% 2.96/3.16 (inj_0(s(s(s(s(s(s(elem!1))))))) = s(s(s(s(s(elem!1)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3176, 38])).
% 2.96/3.16 tff(3178,assumption,(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))), introduced(assumption)).
% 2.96/3.16 tff(3179,plain,
% 2.96/3.16 (s(s(s(s(z)))) = s(s(s(s(s(s(elem!1))))))),
% 2.96/3.16 inference(symmetry,[status(thm)],[3178])).
% 2.96/3.16 tff(3180,plain,
% 2.96/3.16 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(elem!1)))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3179])).
% 2.96/3.16 tff(3181,plain,
% 2.96/3.16 (s(s(s(z))) = s(s(s(s(s(elem!1)))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[45, 3180, 3177])).
% 2.96/3.16 tff(3182,plain,
% 2.96/3.16 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(elem!1))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3181])).
% 2.96/3.16 tff(3183,plain,
% 2.96/3.16 (s(s(z)) = s(s(s(s(elem!1))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[53, 3182, 3175])).
% 2.96/3.16 tff(3184,plain,
% 2.96/3.16 (inj_0(s(s(z))) = inj_0(s(s(s(s(elem!1)))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3183])).
% 2.96/3.16 tff(3185,plain,
% 2.96/3.16 (s(z) = s(s(s(elem!1)))),
% 2.96/3.16 inference(transitivity,[status(thm)],[446, 3184, 1324])).
% 2.96/3.16 tff(3186,plain,
% 2.96/3.16 ($false),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[1263, 3185])).
% 2.96/3.16 tff(3187,plain,(~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.16 tff(3188,plain,
% 2.96/3.16 (~(s(s(s(s(z)))) = elem!1)),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3187, 3173])).
% 2.96/3.16 tff(3189,plain,
% 2.96/3.16 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[2143])).
% 2.96/3.16 tff(3190,plain,
% 2.96/3.16 ((~b(s(s(s(elem!1))), s(s(elem!1)))) <=> (~b(elem!1, s(s(elem!1))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3189])).
% 2.96/3.16 tff(3191,plain,
% 2.96/3.16 (~b(elem!1, s(s(elem!1)))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[1270, 3190])).
% 2.96/3.16 tff(3192,plain,
% 2.96/3.16 (~r(elem!1, s(s(elem!1)))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[287, 3124, 165])).
% 2.96/3.16 tff(3193,plain,
% 2.96/3.16 (elem!1 = s(s(elem!1))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[321, 3192, 3191])).
% 2.96/3.16 tff(3194,plain,
% 2.96/3.16 (b(z, s(z))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[403, 3146])).
% 2.96/3.16 tff(3195,plain,
% 2.96/3.16 (~r(s(s(s(s(z)))), s(z))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[1178, 1147, 803])).
% 2.96/3.16 tff(3196,plain,
% 2.96/3.16 (b(s(s(s(s(z)))), s(z))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[119, 3195])).
% 2.96/3.16 tff(3197,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3198,plain,
% 2.96/3.16 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3199,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3198])).
% 2.96/3.16 tff(3200,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[3199, 3197])).
% 2.96/3.16 tff(3201,plain,
% 2.96/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 2.96/3.16 inference(quant_inst,[status(thm)],[])).
% 2.96/3.16 tff(3202,plain,
% 2.96/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3201, 3200])).
% 2.96/3.16 tff(3203,plain,
% 2.96/3.16 ($false),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3202, 338, 486, 1740, 651, 2911, 175])).
% 2.96/3.16 tff(3204,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.16 tff(3205,plain,
% 2.96/3.16 (~b(s(z), s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3204, 175, 1740, 486, 2911])).
% 2.96/3.16 tff(3206,plain,
% 2.96/3.16 (r(s(z), s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[106, 3205])).
% 2.96/3.16 tff(3207,plain,
% 2.96/3.16 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[1414])).
% 2.96/3.16 tff(3208,plain,
% 2.96/3.16 (s(s(elem!1)) = elem!1),
% 2.96/3.16 inference(symmetry,[status(thm)],[1414])).
% 2.96/3.16 tff(3209,plain,
% 2.96/3.16 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3208])).
% 2.96/3.16 tff(3210,plain,
% 2.96/3.16 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3209])).
% 2.96/3.16 tff(3211,plain,
% 2.96/3.16 (elem!1 = s(s(s(s(z))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[1414, 178])).
% 2.96/3.16 tff(3212,plain,
% 2.96/3.16 (s(elem!1) = s(s(s(elem!1)))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[217, 1419])).
% 2.96/3.16 tff(3213,plain,
% 2.96/3.16 (s(s(elem!1)) = elem!1),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[209, 200])).
% 2.96/3.16 tff(3214,plain,
% 2.96/3.16 (elem!1 = s(s(elem!1))),
% 2.96/3.16 inference(symmetry,[status(thm)],[3213])).
% 2.96/3.16 tff(3215,plain,
% 2.96/3.16 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3214])).
% 2.96/3.16 tff(3216,plain,
% 2.96/3.16 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 2.96/3.16 inference(symmetry,[status(thm)],[3215])).
% 2.96/3.16 tff(3217,plain,
% 2.96/3.16 ((~(s(s(elem!1)) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3216])).
% 2.96/3.16 tff(3218,assumption,(~(s(s(elem!1)) = s(s(s(s(elem!1)))))), introduced(assumption)).
% 2.96/3.16 tff(3219,plain,
% 2.96/3.16 (~(elem!1 = s(s(s(s(elem!1)))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 2.96/3.16 tff(3220,plain,
% 2.96/3.16 (s(s(s(elem!1))) = s(elem!1)),
% 2.96/3.16 inference(symmetry,[status(thm)],[200])).
% 2.96/3.16 tff(3221,plain,
% 2.96/3.16 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3220])).
% 2.96/3.16 tff(3222,plain,
% 2.96/3.16 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 2.96/3.16 inference(symmetry,[status(thm)],[3221])).
% 2.96/3.16 tff(3223,plain,
% 2.96/3.16 (elem!1 = s(s(s(s(elem!1))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[3214, 3222])).
% 2.96/3.16 tff(3224,plain,
% 2.96/3.16 ($false),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3223, 3219])).
% 2.96/3.16 tff(3225,plain,((~(s(elem!1) = s(s(s(elem!1))))) | (s(s(elem!1)) = s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.16 tff(3226,plain,
% 2.96/3.16 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3225, 3212])).
% 2.96/3.16 tff(3227,plain,
% 2.96/3.16 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 2.96/3.16 inference(symmetry,[status(thm)],[3226])).
% 2.96/3.16 tff(3228,plain,
% 2.96/3.16 (s(s(s(s(s(elem!1))))) = s(s(s(elem!1)))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3227])).
% 2.96/3.16 tff(3229,plain,
% 2.96/3.16 (s(s(s(s(s(elem!1))))) = s(elem!1)),
% 2.96/3.16 inference(transitivity,[status(thm)],[3228, 1419])).
% 2.96/3.16 tff(3230,plain,
% 2.96/3.16 (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3229])).
% 2.96/3.16 tff(3231,plain,
% 2.96/3.16 (s(s(s(s(s(s(elem!1)))))) = elem!1),
% 2.96/3.16 inference(transitivity,[status(thm)],[3230, 3208])).
% 2.96/3.16 tff(3232,plain,
% 2.96/3.16 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3231])).
% 2.96/3.16 tff(3233,plain,
% 2.96/3.16 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3232])).
% 2.96/3.16 tff(3234,plain,
% 2.96/3.16 (~(elem!1 = s(s(s(s(z)))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3187, 3233])).
% 2.96/3.16 tff(3235,plain,
% 2.96/3.16 ($false),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3234, 3211])).
% 2.96/3.16 tff(3236,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~(elem!1 = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.16 tff(3237,plain,
% 2.96/3.16 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3236, 1414])).
% 2.96/3.16 tff(3238,plain,
% 2.96/3.16 (~(elem!1 = s(s(s(s(z)))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3237, 3210])).
% 2.96/3.16 tff(3239,assumption,(r(elem!1, s(s(s(s(z)))))), introduced(assumption)).
% 2.96/3.16 tff(3240,plain,
% 2.96/3.16 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3241,plain,
% 2.96/3.16 (((~r(elem!1, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), elem!1))) <=> ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3242,plain,
% 2.96/3.16 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3241])).
% 2.96/3.16 tff(3243,plain,
% 2.96/3.16 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[3242, 3240])).
% 2.96/3.16 tff(3244,plain,
% 2.96/3.16 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), elem!1)))),
% 2.96/3.16 inference(quant_inst,[status(thm)],[])).
% 2.96/3.16 tff(3245,plain,
% 2.96/3.16 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3244, 3243])).
% 2.96/3.16 tff(3246,plain,
% 2.96/3.16 ($false),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3245, 82, 754, 3239, 72])).
% 2.96/3.16 tff(3247,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), elem!1)) | (~r(elem!1, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.16 tff(3248,plain,
% 2.96/3.16 (~r(elem!1, s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3247, 3206, 754])).
% 2.96/3.16 tff(3249,plain,
% 2.96/3.16 (b(elem!1, s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[1094, 3248, 3238])).
% 2.96/3.16 tff(3250,plain,
% 2.96/3.16 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3249, 3207])).
% 2.96/3.16 tff(3251,plain,
% 2.96/3.16 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(s(elem!1)))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[1414])).
% 2.96/3.16 tff(3252,plain,
% 2.96/3.16 (b(s(s(s(z))), s(s(elem!1)))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[2380, 3251])).
% 2.96/3.16 tff(3253,assumption,(b(s(s(elem!1)), s(s(s(s(z)))))), introduced(assumption)).
% 2.96/3.16 tff(3254,assumption,(b(s(s(s(z))), s(s(elem!1)))), introduced(assumption)).
% 2.96/3.16 tff(3255,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3256,plain,
% 2.96/3.16 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3257,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3256])).
% 2.96/3.16 tff(3258,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[3257, 3255])).
% 2.96/3.16 tff(3259,plain,
% 2.96/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 2.96/3.16 inference(quant_inst,[status(thm)],[])).
% 2.96/3.16 tff(3260,plain,
% 2.96/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3259, 3258])).
% 2.96/3.16 tff(3261,plain,
% 2.96/3.16 ($false),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3260, 338, 486, 2911, 539, 175, 3254, 3253])).
% 2.96/3.16 tff(3262,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.16 tff(3263,plain,
% 2.96/3.16 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3262, 175, 2911, 486, 3252, 3250])).
% 2.96/3.16 tff(3264,plain,
% 2.96/3.16 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[689, 3263])).
% 2.96/3.16 tff(3265,plain,
% 2.96/3.16 (~r(s(s(s(z))), s(z))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[2959, 3264, 3206])).
% 2.96/3.16 tff(3266,plain,
% 2.96/3.16 (b(s(s(s(z))), s(z))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[437, 3265])).
% 2.96/3.16 tff(3267,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3268,plain,
% 2.96/3.16 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3269,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3268])).
% 2.96/3.16 tff(3270,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[3269, 3267])).
% 2.96/3.16 tff(3271,plain,
% 2.96/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.96/3.16 inference(quant_inst,[status(thm)],[])).
% 2.96/3.16 tff(3272,plain,
% 2.96/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3271, 3270])).
% 2.96/3.16 tff(3273,plain,
% 2.96/3.16 (~b(z, s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3272, 338, 486, 1740, 2911, 175])).
% 2.96/3.16 tff(3274,plain,
% 2.96/3.16 (r(z, s(s(s(s(z)))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[391, 3273])).
% 2.96/3.16 tff(3275,plain,
% 2.96/3.16 (~r(z, s(s(s(z))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[919, 3264, 3274])).
% 2.96/3.16 tff(3276,plain,
% 2.96/3.16 (b(z, s(s(s(z))))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[149, 3275])).
% 2.96/3.16 tff(3277,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3278,plain,
% 2.96/3.16 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3279,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3278])).
% 2.96/3.16 tff(3280,plain,
% 2.96/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[3279, 3277])).
% 2.96/3.16 tff(3281,plain,
% 2.96/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.96/3.16 inference(quant_inst,[status(thm)],[])).
% 2.96/3.16 tff(3282,plain,
% 2.96/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 2.96/3.16 tff(3283,plain,
% 2.96/3.16 ($false),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3282, 338, 486, 1740, 3276, 3266, 2911, 175])).
% 2.96/3.16 tff(3284,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~(elem!1 = s(s(elem!1)))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.16 tff(3285,plain,
% 2.96/3.16 (~b(s(s(s(s(z)))), z)),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3284, 3196, 1740, 3194, 1414, 2380, 754])).
% 2.96/3.16 tff(3286,plain,
% 2.96/3.16 (r(s(s(s(s(z)))), z)),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[127, 3285])).
% 2.96/3.16 tff(3287,plain,
% 2.96/3.16 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), z)))),
% 2.96/3.16 inference(rewrite,[status(thm)],[])).
% 2.96/3.16 tff(3288,plain,
% 2.96/3.16 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), z)))),
% 2.96/3.16 inference(quant_inst,[status(thm)],[])).
% 2.96/3.16 tff(3289,plain,
% 2.96/3.16 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), z))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 2.96/3.16 tff(3290,plain,
% 2.96/3.16 ($false),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3289, 82, 234, 1147, 3286])).
% 2.96/3.16 tff(3291,plain,((~r(s(s(s(s(z)))), elem!1)) | (~r(z, elem!1)) | (~b(s(z), z)) | (~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(z))), elem!1)) | (~r(s(z), elem!1)) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.16 tff(3292,plain,
% 2.96/3.16 (~r(s(s(s(s(z)))), elem!1)),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3291, 3124, 1740, 3193, 3166, 754, 803])).
% 2.96/3.16 tff(3293,plain,
% 2.96/3.16 (b(s(s(s(s(z)))), elem!1)),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[1144, 3292, 3188])).
% 2.96/3.16 tff(3294,plain,
% 2.96/3.16 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 2.96/3.16 inference(transitivity,[status(thm)],[3112, 1052])).
% 2.96/3.16 tff(3295,plain,
% 2.96/3.16 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(z)))))),
% 2.96/3.16 inference(monotonicity,[status(thm)],[3294])).
% 2.96/3.16 tff(3296,plain,
% 2.96/3.16 (~(elem!1 = s(s(s(z))))),
% 2.96/3.16 inference(modus_ponens,[status(thm)],[3122, 3295])).
% 2.96/3.16 tff(3297,plain,
% 2.96/3.16 (~r(z, s(z))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[3145, 3124, 754])).
% 2.96/3.16 tff(3298,plain,
% 2.96/3.16 (b(z, s(z))),
% 2.96/3.16 inference(unit_resolution,[status(thm)],[403, 3297])).
% 2.96/3.16 tff(3299,assumption,(s(s(s(z))) = s(s(s(elem!1)))), introduced(assumption)).
% 2.96/3.16 tff(3300,plain,
% 2.96/3.16 (s(s(s(elem!1))) = s(s(s(z)))),
% 2.96/3.16 inference(symmetry,[status(thm)],[3299])).
% 2.96/3.16 tff(3301,assumption,(~(s(s(s(elem!1))) = s(s(s(z))))), introduced(assumption)).
% 2.96/3.17 tff(3302,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3301, 3300])).
% 2.96/3.17 tff(3303,plain,((~(s(s(s(z))) = s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3304,plain,
% 2.96/3.17 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3303, 3122])).
% 2.96/3.17 tff(3305,plain,
% 2.96/3.17 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(elem!1), s(z))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3167])).
% 2.96/3.17 tff(3306,assumption,(~b(s(s(elem!1)), elem!1)), introduced(assumption)).
% 2.96/3.17 tff(3307,plain,
% 2.96/3.17 (~r(s(s(elem!1)), elem!1)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[262, 3124, 165])).
% 2.96/3.17 tff(3308,plain,
% 2.96/3.17 (s(s(elem!1)) = elem!1),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[327, 3307, 3306])).
% 2.96/3.17 tff(3309,plain,
% 2.96/3.17 (s(s(s(elem!1))) = s(elem!1)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1418, 3193])).
% 2.96/3.17 tff(3310,plain,
% 2.96/3.17 (s(elem!1) = s(s(s(elem!1)))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[217, 3309])).
% 2.96/3.17 tff(3311,plain,
% 2.96/3.17 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3225, 3310])).
% 2.96/3.17 tff(3312,plain,
% 2.96/3.17 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 2.96/3.17 inference(symmetry,[status(thm)],[1494])).
% 2.96/3.17 tff(3313,plain,
% 2.96/3.17 (s(s(s(s(elem!1)))) = elem!1),
% 2.96/3.17 inference(transitivity,[status(thm)],[3312, 193])).
% 2.96/3.17 tff(3314,plain,
% 2.96/3.17 (b(s(s(s(s(elem!1)))), s(z)) <=> b(elem!1, s(z))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3313])).
% 2.96/3.17 tff(3315,plain,
% 2.96/3.17 (b(elem!1, s(z))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[1589, 3314])).
% 2.96/3.17 tff(3316,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[814, 3315])).
% 2.96/3.17 tff(3317,plain,((~b(s(s(s(s(elem!1)))), s(z))) | b(elem!1, s(z)) | (~(s(s(elem!1)) = s(s(s(s(elem!1)))))) | (~(s(s(elem!1)) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3318,plain,
% 2.96/3.17 (~b(s(s(s(s(elem!1)))), s(z))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3317, 3311, 814, 3308])).
% 2.96/3.17 tff(3319,plain,
% 2.96/3.17 (r(s(s(s(s(elem!1)))), s(z))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1585, 3318])).
% 2.96/3.17 tff(3320,plain,
% 2.96/3.17 (r(s(elem!1), s(z))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3319, 3305])).
% 2.96/3.17 tff(3321,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3322,plain,
% 2.96/3.17 (((~r(elem!1, s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, elem!1))) <=> ((~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3323,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z)))))))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3322])).
% 2.96/3.17 tff(3324,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(transitivity,[status(thm)],[3323, 3321])).
% 2.96/3.17 tff(3325,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, elem!1)))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3326,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (~r(elem!1, s(s(s(z)))))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 2.96/3.17 tff(3327,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3326, 82, 234, 164, 1146])).
% 2.96/3.17 tff(3328,plain,((~r(z, s(s(s(z))))) | (~r(z, elem!1)) | (~r(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3329,plain,
% 2.96/3.17 (~r(z, s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3328, 1146, 234])).
% 2.96/3.17 tff(3330,plain,
% 2.96/3.17 (b(z, s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[149, 3329])).
% 2.96/3.17 tff(3331,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3332,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3333,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(z)))))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 2.96/3.17 tff(3334,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3333, 82, 427, 1146, 803])).
% 2.96/3.17 tff(3335,plain,((~r(elem!1, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3336,plain,
% 2.96/3.17 (~r(s(s(s(z))), s(z))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3335, 1146, 803])).
% 2.96/3.17 tff(3337,plain,
% 2.96/3.17 (b(s(s(s(z))), s(z))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[437, 3336])).
% 2.96/3.17 tff(3338,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3339,plain,
% 2.96/3.17 (((~r(elem!1, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), elem!1))) <=> ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3340,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(elem!1, s(s(s(z)))))))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3339])).
% 2.96/3.17 tff(3341,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(transitivity,[status(thm)],[3340, 3338])).
% 2.96/3.17 tff(3342,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), elem!1)))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3343,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(elem!1, s(s(s(z)))))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3342, 3341])).
% 2.96/3.17 tff(3344,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3343, 82, 406, 754, 1146])).
% 2.96/3.17 tff(3345,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), elem!1)) | (~r(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3346,plain,
% 2.96/3.17 (~r(s(z), s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3345, 1146, 754])).
% 2.96/3.17 tff(3347,plain,
% 2.96/3.17 (b(s(z), s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[424, 3346])).
% 2.96/3.17 tff(3348,assumption,(b(z, s(s(s(z))))), introduced(assumption)).
% 2.96/3.17 tff(3349,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3350,plain,
% 2.96/3.17 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3351,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3350])).
% 2.96/3.17 tff(3352,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.96/3.17 inference(transitivity,[status(thm)],[3351, 3349])).
% 2.96/3.17 tff(3353,plain,
% 2.96/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3354,plain,
% 2.96/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 2.96/3.17 tff(3355,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3354, 338, 486, 457, 1740, 3348, 458])).
% 2.96/3.17 tff(3356,plain,((~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3357,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3356, 3347, 3337, 3194, 1740, 3330])).
% 2.96/3.17 tff(3358,plain,((~r(elem!1, s(s(s(z))))) | (~b(s(z), z)) | (~r(s(z), elem!1)) | (~r(elem!1, s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3359,plain,
% 2.96/3.17 (~r(elem!1, s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3358, 3124, 754, 803, 1740])).
% 2.96/3.17 tff(3360,plain,
% 2.96/3.17 (~b(z, s(s(s(elem!1))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[2149, 177, 2143])).
% 2.96/3.17 tff(3361,plain,
% 2.96/3.17 (r(z, s(s(s(elem!1))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1373, 3360])).
% 2.96/3.17 tff(3362,plain,
% 2.96/3.17 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1361, 3361, 165])).
% 2.96/3.17 tff(3363,plain,
% 2.96/3.17 (s(s(s(elem!1))) = s(s(elem!1))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1292, 3362, 1270])).
% 2.96/3.17 tff(3364,plain,
% 2.96/3.17 (s(elem!1) = s(s(s(elem!1)))),
% 2.96/3.17 inference(symmetry,[status(thm)],[1419])).
% 2.96/3.17 tff(3365,plain,
% 2.96/3.17 (s(s(z)) = elem!1),
% 2.96/3.17 inference(symmetry,[status(thm)],[2329])).
% 2.96/3.17 tff(3366,plain,
% 2.96/3.17 (s(s(z)) = s(s(elem!1))),
% 2.96/3.17 inference(transitivity,[status(thm)],[3365, 1414])).
% 2.96/3.17 tff(3367,plain,
% 2.96/3.17 (inj_0(s(s(z))) = inj_0(s(s(elem!1)))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3366])).
% 2.96/3.17 tff(3368,plain,
% 2.96/3.17 (s(z) = s(s(elem!1))),
% 2.96/3.17 inference(transitivity,[status(thm)],[446, 3367, 181, 3364, 1272])).
% 2.96/3.17 tff(3369,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[738, 3368])).
% 2.96/3.17 tff(3370,plain,((~(elem!1 = s(s(z)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~(elem!1 = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3371,plain,
% 2.96/3.17 (~(elem!1 = s(s(z)))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3370, 3363, 3193])).
% 2.96/3.17 tff(3372,plain,
% 2.96/3.17 (~(s(s(s(z))) = elem!1)),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3301, 3113])).
% 2.96/3.17 tff(3373,plain,
% 2.96/3.17 (~r(s(s(s(z))), elem!1)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3164, 234, 754])).
% 2.96/3.17 tff(3374,plain,
% 2.96/3.17 (b(s(s(s(z))), elem!1)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1110, 3373, 3372])).
% 2.96/3.17 tff(3375,plain,
% 2.96/3.17 (~(elem!1 = s(s(s(z))))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3301, 3295])).
% 2.96/3.17 tff(3376,plain,
% 2.96/3.17 ((s(s(s(elem!1))) = elem!1) <=> (elem!1 = s(s(s(elem!1))))),
% 2.96/3.17 inference(symmetry,[status(thm)],[1254])).
% 2.96/3.17 tff(3377,plain,
% 2.96/3.17 (elem!1 = s(s(s(elem!1)))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[2143, 3376])).
% 2.96/3.17 tff(3378,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1939, 3377])).
% 2.96/3.17 tff(3379,plain,((~(s(s(s(elem!1))) = elem!1)) | (elem!1 = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3380,plain,
% 2.96/3.17 (elem!1 = s(s(s(elem!1)))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3379, 2143])).
% 2.96/3.17 tff(3381,plain,
% 2.96/3.17 (r(elem!1, z) <=> r(s(s(s(elem!1))), z)),
% 2.96/3.17 inference(monotonicity,[status(thm)],[1921])).
% 2.96/3.17 tff(3382,plain,
% 2.96/3.17 (r(s(s(s(elem!1))), z) <=> r(elem!1, z)),
% 2.96/3.17 inference(symmetry,[status(thm)],[3381])).
% 2.96/3.17 tff(3383,plain,
% 2.96/3.17 (r(elem!1, z)),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[1301, 3382])).
% 2.96/3.17 tff(3384,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[864, 3383])).
% 2.96/3.17 tff(3385,plain,((~(elem!1 = s(s(s(elem!1))))) | r(elem!1, z) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3386,plain,
% 2.96/3.17 (r(elem!1, z)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3385, 1301, 3380])).
% 2.96/3.17 tff(3387,plain,
% 2.96/3.17 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3171])).
% 2.96/3.17 tff(3388,plain,
% 2.96/3.17 (~(elem!1 = s(s(s(s(z)))))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3187, 3387])).
% 2.96/3.17 tff(3389,plain,
% 2.96/3.17 (b(z, s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[148, 3329, 144])).
% 2.96/3.17 tff(3390,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3391,plain,
% 2.96/3.17 (((~r(s(s(s(z))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(z)))))) <=> ((~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3392,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(elem!1, s(s(s(z)))))))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3391])).
% 2.96/3.17 tff(3393,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(transitivity,[status(thm)],[3392, 3390])).
% 2.96/3.17 tff(3394,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(z))))))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3395,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (~r(elem!1, s(s(s(z)))))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3394, 3393])).
% 2.96/3.17 tff(3396,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3395, 82, 802, 426, 1146])).
% 2.96/3.17 tff(3397,plain,((~r(s(s(s(z))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3398,plain,
% 2.96/3.17 (~r(s(s(s(z))), z)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3397, 1146, 802])).
% 2.96/3.17 tff(3399,plain,
% 2.96/3.17 (b(s(s(s(z))), z)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[133, 21, 98, 3398])).
% 2.96/3.17 tff(3400,plain,
% 2.96/3.17 (b(s(z), s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[423, 3346, 419])).
% 2.96/3.17 tff(3401,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3402,plain,
% 2.96/3.17 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3403,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z)))))))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3402])).
% 2.96/3.17 tff(3404,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))))),
% 2.96/3.17 inference(transitivity,[status(thm)],[3403, 3401])).
% 2.96/3.17 tff(3405,plain,
% 2.96/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3406,plain,
% 2.96/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z)))))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3405, 3404])).
% 2.96/3.17 tff(3407,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3406, 338, 3147, 3400, 3399, 1740, 3389])).
% 2.96/3.17 tff(3408,plain,((~r(elem!1, s(s(s(z))))) | (~b(s(z), z)) | (~r(z, elem!1)) | (~r(elem!1, z)) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3409,plain,
% 2.96/3.17 (~r(elem!1, s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3408, 3386, 754, 234, 1740])).
% 2.96/3.17 tff(3410,plain,
% 2.96/3.17 (b(elem!1, s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1160, 3409, 3375])).
% 2.96/3.17 tff(3411,plain,
% 2.96/3.17 (~b(s(s(s(s(z)))), s(z))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3284, 175, 1740, 486, 1414, 2380, 754])).
% 2.96/3.17 tff(3412,plain,
% 2.96/3.17 (r(s(s(s(s(z)))), s(z))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[119, 3411])).
% 2.96/3.17 tff(3413,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(z))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3414,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(z))))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3415,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(z)))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3414, 3413])).
% 2.96/3.17 tff(3416,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3415, 82, 754, 108, 1147])).
% 2.96/3.17 tff(3417,plain,((~r(s(z), elem!1)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3418,plain,
% 2.96/3.17 (~r(s(s(s(s(z)))), elem!1)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3417, 3412, 754])).
% 2.96/3.17 tff(3419,plain,
% 2.96/3.17 (b(s(s(s(s(z)))), elem!1)),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1144, 3418, 1039])).
% 2.96/3.17 tff(3420,plain,
% 2.96/3.17 (~b(s(z), s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3356, 3348, 486, 1740, 458])).
% 2.96/3.17 tff(3421,plain,
% 2.96/3.17 (r(s(z), s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[424, 3420])).
% 2.96/3.17 tff(3422,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3423,plain,
% 2.96/3.17 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3424,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 2.96/3.17 inference(monotonicity,[status(thm)],[3423])).
% 2.96/3.17 tff(3425,plain,
% 2.96/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.17 inference(transitivity,[status(thm)],[3424, 3422])).
% 2.96/3.17 tff(3426,plain,
% 2.96/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3427,plain,
% 2.96/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 2.96/3.17 tff(3428,plain,
% 2.96/3.17 ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3427, 338, 486, 1740, 458, 175])).
% 2.96/3.17 tff(3429,plain,
% 2.96/3.17 (~b(s(z), s(s(s(s(z)))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3428, 3348])).
% 2.96/3.17 tff(3430,plain,
% 2.96/3.17 (r(s(z), s(s(s(s(z)))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[106, 3429])).
% 2.96/3.17 tff(3431,plain,
% 2.96/3.17 (~r(elem!1, s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3345, 406, 754])).
% 2.96/3.17 tff(3432,plain,
% 2.96/3.17 (b(elem!1, s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1160, 3431, 1050])).
% 2.96/3.17 tff(3433,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3434,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.96/3.17 inference(quant_inst,[status(thm)],[])).
% 2.96/3.17 tff(3435,plain,
% 2.96/3.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.96/3.17 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 2.96/3.17 tff(3436,plain,
% 2.96/3.17 ($false),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3435, 82, 406, 1038, 108])).
% 2.96/3.17 tff(3437,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.17 tff(3438,plain,
% 2.96/3.17 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[3437, 406, 108])).
% 2.96/3.17 tff(3439,plain,
% 2.96/3.17 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[1011, 3438])).
% 2.96/3.17 tff(3440,plain,
% 2.96/3.17 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[2389, 3439, 2380, 3432, 1130])).
% 2.96/3.17 tff(3441,plain,
% 2.96/3.17 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.17 inference(unit_resolution,[status(thm)],[689, 3440])).
% 2.96/3.17 tff(3442,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3443,plain,
% 2.96/3.17 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.17 inference(rewrite,[status(thm)],[])).
% 2.96/3.17 tff(3444,plain,
% 2.96/3.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3443])).
% 2.96/3.18 tff(3445,plain,
% 2.96/3.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.18 inference(transitivity,[status(thm)],[3444, 3442])).
% 2.96/3.18 tff(3446,plain,
% 2.96/3.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))),
% 2.96/3.18 inference(quant_inst,[status(thm)],[])).
% 2.96/3.18 tff(3447,plain,
% 2.96/3.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 2.96/3.18 tff(3448,plain,
% 2.96/3.18 ($false),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3447, 82, 406, 72, 3441])).
% 2.96/3.18 tff(3449,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(s(z)))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.18 tff(3450,plain,
% 2.96/3.18 ($false),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3449, 3430, 3421, 2380, 108, 1130, 1050, 754])).
% 2.96/3.18 tff(3451,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (elem!1 = s(s(s(z)))) | (~r(s(z), elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.18 tff(3452,plain,
% 2.96/3.18 (~b(z, s(s(s(z))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3451, 3419, 486, 754, 1050, 2380, 458, 1740, 175, 3412])).
% 2.96/3.18 tff(3453,plain,
% 2.96/3.18 (r(z, s(s(s(z))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[149, 3452])).
% 2.96/3.18 tff(3454,plain,
% 2.96/3.18 (b(elem!1, s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[1414])).
% 2.96/3.18 tff(3455,plain,
% 2.96/3.18 (b(s(s(elem!1)), s(s(s(z))))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[2381, 3454])).
% 2.96/3.18 tff(3456,assumption,(~b(s(s(elem!1)), s(s(s(z))))), introduced(assumption)).
% 2.96/3.18 tff(3457,plain,
% 2.96/3.18 ($false),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3456, 3455])).
% 2.96/3.18 tff(3458,plain,(b(s(s(elem!1)), s(s(s(z)))) | (~b(elem!1, s(s(s(z))))) | (~(elem!1 = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.18 tff(3459,plain,
% 2.96/3.18 (b(s(s(elem!1)), s(s(s(z))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3458, 2381, 1414])).
% 2.96/3.18 tff(3460,plain,
% 2.96/3.18 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), elem!1)),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3208])).
% 2.96/3.18 tff(3461,plain,
% 2.96/3.18 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.96/3.18 inference(symmetry,[status(thm)],[3460])).
% 2.96/3.18 tff(3462,plain,
% 2.96/3.18 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[1130, 3461])).
% 2.96/3.18 tff(3463,plain,
% 2.96/3.18 ($false),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[1267, 3462])).
% 2.96/3.18 tff(3464,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)) | (~(elem!1 = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.18 tff(3465,plain,
% 2.96/3.18 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3464, 3419, 1414])).
% 2.96/3.18 tff(3466,plain,
% 2.96/3.18 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), elem!1)),
% 2.96/3.18 inference(symmetry,[status(thm)],[3251])).
% 2.96/3.18 tff(3467,plain,
% 2.96/3.18 ((~b(s(s(s(z))), s(s(elem!1)))) <=> (~b(s(s(s(z))), elem!1))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3466])).
% 2.96/3.18 tff(3468,assumption,(~b(s(s(s(z))), s(s(elem!1)))), introduced(assumption)).
% 2.96/3.18 tff(3469,plain,
% 2.96/3.18 (~b(s(s(s(z))), elem!1)),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3468, 3467])).
% 2.96/3.18 tff(3470,plain,
% 2.96/3.18 ($false),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[2380, 3469])).
% 2.96/3.18 tff(3471,plain,(b(s(s(s(z))), s(s(elem!1))) | (~b(s(s(s(z))), elem!1)) | (~(elem!1 = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.18 tff(3472,plain,
% 2.96/3.18 (b(s(s(s(z))), s(s(elem!1)))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3471, 2380, 1414])).
% 2.96/3.18 tff(3473,plain,
% 2.96/3.18 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[193])).
% 2.96/3.18 tff(3474,plain,
% 2.96/3.18 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 2.96/3.18 inference(symmetry,[status(thm)],[3473])).
% 2.96/3.18 tff(3475,plain,
% 2.96/3.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3476,plain,
% 2.96/3.18 (((~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(s(z))))))) <=> ((~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3477,plain,
% 2.96/3.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(s(s(s(z))))))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3476])).
% 2.96/3.18 tff(3478,plain,
% 2.96/3.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.18 inference(transitivity,[status(thm)],[3477, 3475])).
% 2.96/3.18 tff(3479,plain,
% 2.96/3.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.18 inference(quant_inst,[status(thm)],[])).
% 2.96/3.18 tff(3480,plain,
% 2.96/3.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(s(s(s(z))))))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 2.96/3.18 tff(3481,plain,
% 2.96/3.18 (~r(elem!1, s(s(s(s(z)))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3480, 82, 3412, 803])).
% 2.96/3.18 tff(3482,plain,
% 2.96/3.18 (b(elem!1, s(s(s(s(z)))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[1094, 3481, 2444])).
% 2.96/3.18 tff(3483,plain,
% 2.96/3.18 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3482, 3474])).
% 2.96/3.18 tff(3484,assumption,(b(s(s(s(s(z)))), s(s(elem!1)))), introduced(assumption)).
% 2.96/3.18 tff(3485,assumption,(b(s(s(elem!1)), s(s(s(z))))), introduced(assumption)).
% 2.96/3.18 tff(3486,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3487,plain,
% 2.96/3.18 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3488,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3487])).
% 2.96/3.18 tff(3489,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.96/3.18 inference(transitivity,[status(thm)],[3488, 3486])).
% 2.96/3.18 tff(3490,plain,
% 2.96/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.18 inference(quant_inst,[status(thm)],[])).
% 2.96/3.18 tff(3491,plain,
% 2.96/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 2.96/3.18 tff(3492,plain,
% 2.96/3.18 ($false),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3491, 338, 539, 3254, 3485, 3484, 3253])).
% 2.96/3.18 tff(3493,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.18 tff(3494,plain,
% 2.96/3.18 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3493, 3483, 3472, 3465, 3459])).
% 2.96/3.18 tff(3495,plain,
% 2.96/3.18 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[689, 3494])).
% 2.96/3.18 tff(3496,plain,
% 2.96/3.18 (~r(z, s(s(s(s(z)))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[919, 3495, 3453])).
% 2.96/3.18 tff(3497,plain,
% 2.96/3.18 (b(z, s(s(s(s(z)))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[391, 3496])).
% 2.96/3.18 tff(3498,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3499,plain,
% 2.96/3.18 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3500,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3499])).
% 2.96/3.18 tff(3501,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.18 inference(transitivity,[status(thm)],[3500, 3498])).
% 2.96/3.18 tff(3502,plain,
% 2.96/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.96/3.18 inference(quant_inst,[status(thm)],[])).
% 2.96/3.18 tff(3503,plain,
% 2.96/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 2.96/3.18 tff(3504,plain,
% 2.96/3.18 ($false),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3503, 338, 486, 1740, 651, 175, 555])).
% 2.96/3.18 tff(3505,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.18 tff(3506,plain,
% 2.96/3.18 (~b(s(z), s(s(s(s(z)))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3505, 175, 1740, 486, 3497])).
% 2.96/3.18 tff(3507,plain,
% 2.96/3.18 (r(s(z), s(s(s(s(z)))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[106, 3506])).
% 2.96/3.18 tff(3508,plain,
% 2.96/3.18 (~r(s(z), s(s(s(z))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3449, 3507, 1050, 754, 3412, 3419, 2380])).
% 2.96/3.18 tff(3509,plain,
% 2.96/3.18 (b(s(z), s(s(s(z))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[424, 3508])).
% 2.96/3.18 tff(3510,plain,
% 2.96/3.18 (~r(s(s(z)), s(s(s(z))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[572, 540, 175, 555, 164])).
% 2.96/3.18 tff(3511,plain,
% 2.96/3.18 (b(s(s(z)), s(s(s(z))))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[534, 3510])).
% 2.96/3.18 tff(3512,plain,
% 2.96/3.18 ((s(s(z)) = elem!1) <=> (elem!1 = s(s(z)))),
% 2.96/3.18 inference(commutativity,[status(thm)],[])).
% 2.96/3.18 tff(3513,plain,
% 2.96/3.18 ((elem!1 = s(s(z))) <=> (s(s(z)) = elem!1)),
% 2.96/3.18 inference(symmetry,[status(thm)],[3512])).
% 2.96/3.18 tff(3514,plain,
% 2.96/3.18 ((~(elem!1 = s(s(z)))) <=> (~(s(s(z)) = elem!1))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3513])).
% 2.96/3.18 tff(3515,plain,
% 2.96/3.18 (~(s(s(z)) = elem!1)),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[2346, 3514])).
% 2.96/3.18 tff(3516,assumption,(b(elem!1, s(s(z)))), introduced(assumption)).
% 2.96/3.18 tff(3517,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3518,plain,
% 2.96/3.18 (((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3519,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z))))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3518])).
% 2.96/3.18 tff(3520,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 2.96/3.18 inference(transitivity,[status(thm)],[3519, 3517])).
% 2.96/3.18 tff(3521,plain,
% 2.96/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.96/3.18 inference(quant_inst,[status(thm)],[])).
% 2.96/3.18 tff(3522,plain,
% 2.96/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z))))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3521, 3520])).
% 2.96/3.18 tff(3523,plain,
% 2.96/3.18 (~b(s(s(z)), s(z))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3522, 338, 476, 457, 3516, 1130, 540])).
% 2.96/3.18 tff(3524,plain,
% 2.96/3.18 (r(s(s(z)), s(z))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[472, 3523])).
% 2.96/3.18 tff(3525,plain,
% 2.96/3.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(z)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(z)), elem!1)))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3526,plain,
% 2.96/3.18 (((~r(elem!1, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), elem!1))) <=> ((~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(z)), elem!1)))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3527,plain,
% 2.96/3.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(z)), elem!1))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3526])).
% 2.96/3.18 tff(3528,plain,
% 2.96/3.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(z)), elem!1)))),
% 2.96/3.18 inference(transitivity,[status(thm)],[3527, 3525])).
% 2.96/3.18 tff(3529,plain,
% 2.96/3.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), elem!1)))),
% 2.96/3.18 inference(quant_inst,[status(thm)],[])).
% 2.96/3.18 tff(3530,plain,
% 2.96/3.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(z)), elem!1))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 2.96/3.18 tff(3531,plain,
% 2.96/3.18 (~r(s(s(z)), elem!1)),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3530, 82, 803, 3524])).
% 2.96/3.18 tff(3532,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3533,plain,
% 2.96/3.18 (((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3534,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z))))))),
% 2.96/3.18 inference(monotonicity,[status(thm)],[3533])).
% 2.96/3.18 tff(3535,plain,
% 2.96/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 2.96/3.18 inference(transitivity,[status(thm)],[3534, 3532])).
% 2.96/3.18 tff(3536,plain,
% 2.96/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.96/3.18 inference(quant_inst,[status(thm)],[])).
% 2.96/3.18 tff(3537,plain,
% 2.96/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z))))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3536, 3535])).
% 2.96/3.18 tff(3538,plain,
% 2.96/3.18 (~b(s(s(z)), elem!1)),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3537, 338, 476, 2381, 3516, 1130, 540])).
% 2.96/3.18 tff(3539,plain,
% 2.96/3.18 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = elem!1) | b(s(s(z)), elem!1) | r(s(s(z)), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = elem!1) | b(s(s(z)), elem!1) | r(s(s(z)), elem!1))),
% 2.96/3.18 inference(rewrite,[status(thm)],[])).
% 2.96/3.18 tff(3540,plain,
% 2.96/3.18 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = elem!1) | b(s(s(z)), elem!1) | r(s(s(z)), elem!1))),
% 2.96/3.18 inference(quant_inst,[status(thm)],[])).
% 2.96/3.18 tff(3541,plain,
% 2.96/3.18 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = elem!1) | b(s(s(z)), elem!1) | r(s(s(z)), elem!1)),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[3540, 3539])).
% 2.96/3.18 tff(3542,plain,
% 2.96/3.18 ((s(s(z)) = elem!1) | r(s(s(z)), elem!1)),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3541, 21, 3538])).
% 2.96/3.18 tff(3543,plain,
% 2.96/3.18 ($false),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3542, 3531, 3515])).
% 2.96/3.18 tff(3544,plain,((~b(s(s(z)), s(s(s(z))))) | (~r(elem!1, s(z))) | (elem!1 = s(s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.18 tff(3545,plain,
% 2.96/3.18 (~b(elem!1, s(s(z)))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[3544, 3511, 2346, 2381, 803, 1130, 540, 457])).
% 2.96/3.18 tff(3546,plain,
% 2.96/3.18 (r(elem!1, s(s(z)))),
% 2.96/3.18 inference(unit_resolution,[status(thm)],[2442, 3545, 2346])).
% 2.96/3.18 tff(3547,assumption,(r(elem!1, s(s(z)))), introduced(assumption)).
% 2.96/3.18 tff(3548,plain,
% 2.96/3.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z)))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3549,plain,
% 2.96/3.19 (((~r(s(z), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(elem!1, s(z)))) <=> ((~r(s(z), s(s(z)))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z)))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3550,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3549])).
% 2.96/3.19 tff(3551,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z)))))),
% 2.96/3.19 inference(transitivity,[status(thm)],[3550, 3548])).
% 2.96/3.19 tff(3552,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(elem!1, s(z))))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3553,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3552, 3551])).
% 2.96/3.19 tff(3554,plain,
% 2.96/3.19 ($false),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3553, 82, 3547, 70, 803])).
% 2.96/3.19 tff(3555,plain,((~r(elem!1, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.19 tff(3556,plain,
% 2.96/3.19 (~r(s(z), s(s(z)))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3555, 3546, 803])).
% 2.96/3.19 tff(3557,plain,
% 2.96/3.19 (b(s(z), s(s(z)))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[455, 3556])).
% 2.96/3.19 tff(3558,plain,
% 2.96/3.19 (~b(s(s(z)), s(z))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[484, 3557, 457, 458, 3511])).
% 2.96/3.19 tff(3559,plain,
% 2.96/3.19 (r(s(s(z)), s(z))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[472, 3558])).
% 2.96/3.19 tff(3560,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z)))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3561,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z)))))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3562,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(z))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3561, 3560])).
% 2.96/3.19 tff(3563,plain,
% 2.96/3.19 ($false),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3562, 82, 3546, 803, 3559])).
% 2.96/3.19 tff(3564,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (elem!1 = s(s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.19 tff(3565,plain,
% 2.96/3.19 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3564, 3509, 803, 458, 2346, 2381, 3419, 175, 3497, 3453])).
% 2.96/3.19 tff(3566,plain,
% 2.96/3.19 (r(s(s(s(s(z)))), s(s(z)))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[68, 3565])).
% 2.96/3.19 tff(3567,plain,
% 2.96/3.19 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[1463, 3566, 3509, 458, 3412])).
% 2.96/3.19 tff(3568,plain,
% 2.96/3.19 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[1011, 3567])).
% 2.96/3.19 tff(3569,plain,
% 2.96/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3570,plain,
% 2.96/3.19 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3571,plain,
% 2.96/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3570])).
% 2.96/3.19 tff(3572,plain,
% 2.96/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.96/3.19 inference(transitivity,[status(thm)],[3571, 3569])).
% 2.96/3.19 tff(3573,plain,
% 2.96/3.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3574,plain,
% 2.96/3.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 2.96/3.19 tff(3575,plain,
% 2.96/3.19 ($false),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3574, 338, 3482, 2381, 2380, 3568, 3419])).
% 2.96/3.19 tff(3576,plain,((~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (elem!1 = s(s(z))) | (elem!1 = s(s(s(z)))) | (~r(s(z), elem!1)) | (~b(s(z), z)) | (~b(z, s(z))) | (~(s(s(elem!1)) = elem!1)) | (elem!1 = s(s(s(s(z))))) | (~(elem!1 = s(s(elem!1)))) | (s(s(s(s(z)))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.96/3.19 tff(3577,plain,
% 2.96/3.19 (~b(s(s(s(s(z)))), z)),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3576, 458, 2380, 2381, 803, 2346, 1050, 754, 1740, 486, 193, 2444, 1414, 1039])).
% 2.96/3.19 tff(3578,plain,
% 2.96/3.19 (r(s(s(s(s(z)))), z)),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[127, 3577])).
% 2.96/3.19 tff(3579,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3580,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), elem!1)))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3581,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), elem!1))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 2.96/3.19 tff(3582,plain,
% 2.96/3.19 (~r(s(s(s(s(z)))), elem!1)),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3581, 82, 802, 3578])).
% 2.96/3.19 tff(3583,plain,
% 2.96/3.19 (b(s(s(s(s(z)))), elem!1)),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[1144, 3582, 1039])).
% 2.96/3.19 tff(3584,plain,
% 2.96/3.19 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3464, 3583, 1414])).
% 2.96/3.19 tff(3585,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3586,plain,
% 2.96/3.19 (((~r(s(s(s(s(z)))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(s(z))))))) <=> ((~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3587,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, s(s(s(s(z))))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3586])).
% 2.96/3.19 tff(3588,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.19 inference(transitivity,[status(thm)],[3587, 3585])).
% 2.96/3.19 tff(3589,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(s(z)))))))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3590,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, s(s(s(s(z))))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 2.96/3.19 tff(3591,plain,
% 2.96/3.19 (~r(elem!1, s(s(s(s(z)))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3590, 82, 802, 3578])).
% 2.96/3.19 tff(3592,plain,
% 2.96/3.19 (b(elem!1, s(s(s(s(z)))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[1094, 3591, 2444])).
% 2.96/3.19 tff(3593,plain,
% 2.96/3.19 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3592, 3474])).
% 2.96/3.19 tff(3594,plain,
% 2.96/3.19 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3493, 3593, 3472, 3584, 3459])).
% 2.96/3.19 tff(3595,plain,
% 2.96/3.19 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[689, 3594])).
% 2.96/3.19 tff(3596,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3597,plain,
% 2.96/3.19 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3598,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3597])).
% 2.96/3.19 tff(3599,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.19 inference(transitivity,[status(thm)],[3598, 3596])).
% 2.96/3.19 tff(3600,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3601,plain,
% 2.96/3.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3600, 3599])).
% 2.96/3.19 tff(3602,plain,
% 2.96/3.19 ($false),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3601, 82, 911, 1122, 426])).
% 2.96/3.19 tff(3603,plain,((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.19 tff(3604,plain,
% 2.96/3.19 (~r(s(s(s(z))), z)),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3603, 3595, 3578])).
% 2.96/3.19 tff(3605,plain,
% 2.96/3.19 (b(s(s(s(z))), z)),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[135, 3604])).
% 2.96/3.19 tff(3606,plain,
% 2.96/3.19 ($false),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3153, 338, 486, 1741, 1740, 3348, 458])).
% 2.96/3.19 tff(3607,plain,((~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.19 tff(3608,plain,
% 2.96/3.19 (~b(z, s(s(s(z))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3607, 3605, 1740, 458, 486])).
% 2.96/3.19 tff(3609,plain,
% 2.96/3.19 (r(z, s(s(s(z))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[149, 3608])).
% 2.96/3.19 tff(3610,plain,
% 2.96/3.19 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[1127, 3609, 3578])).
% 2.96/3.19 tff(3611,plain,
% 2.96/3.19 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[1011, 3610])).
% 2.96/3.19 tff(3612,plain,
% 2.96/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3613,plain,
% 2.96/3.19 (((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3614,plain,
% 2.96/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3613])).
% 2.96/3.19 tff(3615,plain,
% 2.96/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.96/3.19 inference(transitivity,[status(thm)],[3614, 3612])).
% 2.96/3.19 tff(3616,plain,
% 2.96/3.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3617,plain,
% 2.96/3.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3616, 3615])).
% 2.96/3.19 tff(3618,plain,
% 2.96/3.19 ($false),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3617, 338, 486, 3605, 458, 2381, 3611, 3583])).
% 2.96/3.19 tff(3619,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), z)) | (~(s(s(elem!1)) = elem!1)) | (~(elem!1 = s(s(elem!1)))) | (elem!1 = s(s(s(s(z))))) | (s(s(s(s(z)))) = elem!1) | (~r(elem!1, z)) | (~b(s(s(s(z))), elem!1)) | (~r(elem!1, s(z))) | (elem!1 = s(s(z))) | (elem!1 = s(s(s(z)))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.19 tff(3620,plain,
% 2.96/3.19 (~b(s(s(s(z))), s(z))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3619, 3410, 3194, 1740, 193, 1414, 3388, 3188, 3386, 3374, 803, 2346, 3375, 754])).
% 2.96/3.19 tff(3621,plain,
% 2.96/3.19 (r(s(s(s(z))), s(z))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[437, 3620])).
% 2.96/3.19 tff(3622,plain,
% 2.96/3.19 (s(elem!1) = s(s(s(elem!1)))),
% 2.96/3.19 inference(symmetry,[status(thm)],[213])).
% 2.96/3.19 tff(3623,plain,
% 2.96/3.19 (s(elem!1) = elem!1),
% 2.96/3.19 inference(transitivity,[status(thm)],[3622, 2143])).
% 2.96/3.19 tff(3624,plain,
% 2.96/3.19 (r(s(elem!1), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3623])).
% 2.96/3.19 tff(3625,plain,
% 2.96/3.19 (r(elem!1, s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 2.96/3.19 inference(symmetry,[status(thm)],[3624])).
% 2.96/3.19 tff(3626,plain,
% 2.96/3.19 ((~r(elem!1, s(s(s(s(z)))))) <=> (~r(s(elem!1), s(s(s(s(z))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3625])).
% 2.96/3.19 tff(3627,plain,
% 2.96/3.19 (~r(elem!1, s(s(s(s(z)))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3590, 82, 3386, 1122])).
% 2.96/3.19 tff(3628,plain,
% 2.96/3.19 (~r(s(elem!1), s(s(s(s(z)))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3627, 3626])).
% 2.96/3.19 tff(3629,plain,
% 2.96/3.19 ((s(elem!1) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 2.96/3.19 inference(commutativity,[status(thm)],[])).
% 2.96/3.19 tff(3630,plain,
% 2.96/3.19 ((s(s(s(s(z)))) = s(elem!1)) <=> (s(elem!1) = s(s(s(s(z)))))),
% 2.96/3.19 inference(symmetry,[status(thm)],[3629])).
% 2.96/3.19 tff(3631,plain,
% 2.96/3.19 (s(s(s(s(s(s(s(elem!1))))))) = s(elem!1)),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3170])).
% 2.96/3.19 tff(3632,plain,
% 2.96/3.19 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3631])).
% 2.96/3.19 tff(3633,plain,
% 2.96/3.19 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 2.96/3.19 inference(transitivity,[status(thm)],[3632, 3630])).
% 2.96/3.19 tff(3634,plain,
% 2.96/3.19 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3633])).
% 2.96/3.19 tff(3635,plain,
% 2.96/3.19 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(s(elem!1)))))))) = s(s(s(s(s(s(elem!1)))))))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3636,plain,
% 2.96/3.19 (inj_0(s(s(s(s(s(s(s(elem!1)))))))) = s(s(s(s(s(s(elem!1))))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3635, 38])).
% 2.96/3.19 tff(3637,assumption,(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 2.96/3.19 tff(3638,plain,
% 2.96/3.19 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(s(elem!1))))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3637])).
% 2.96/3.19 tff(3639,plain,
% 2.96/3.19 (s(s(s(z))) = s(s(s(s(s(s(elem!1))))))),
% 2.96/3.19 inference(transitivity,[status(thm)],[45, 3638, 3636])).
% 2.96/3.19 tff(3640,plain,
% 2.96/3.19 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(s(elem!1)))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3639])).
% 2.96/3.19 tff(3641,plain,
% 2.96/3.19 (s(s(z)) = s(s(s(s(s(elem!1)))))),
% 2.96/3.19 inference(transitivity,[status(thm)],[53, 3640, 3177])).
% 2.96/3.19 tff(3642,plain,
% 2.96/3.19 (inj_0(s(s(z))) = inj_0(s(s(s(s(s(elem!1))))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3641])).
% 2.96/3.19 tff(3643,plain,
% 2.96/3.19 (s(z) = s(s(s(s(elem!1))))),
% 2.96/3.19 inference(transitivity,[status(thm)],[446, 3642, 3175])).
% 2.96/3.19 tff(3644,plain,
% 2.96/3.19 ($false),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[2125, 3643])).
% 2.96/3.19 tff(3645,plain,(~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.19 tff(3646,plain,
% 2.96/3.19 (~(s(elem!1) = s(s(s(s(z)))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3645, 3634])).
% 2.96/3.19 tff(3647,plain,
% 2.96/3.19 (elem!1 = s(s(s(elem!1)))),
% 2.96/3.19 inference(symmetry,[status(thm)],[2143])).
% 2.96/3.19 tff(3648,assumption,(s(elem!1) = s(s(s(z)))), introduced(assumption)).
% 2.96/3.19 tff(3649,plain,
% 2.96/3.19 (s(s(s(z))) = s(elem!1)),
% 2.96/3.19 inference(symmetry,[status(thm)],[3648])).
% 2.96/3.19 tff(3650,plain,
% 2.96/3.19 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3649])).
% 2.96/3.19 tff(3651,plain,
% 2.96/3.19 (s(s(z)) = s(s(s(elem!1)))),
% 2.96/3.19 inference(transitivity,[status(thm)],[53, 3650, 199, 3647])).
% 2.96/3.19 tff(3652,plain,
% 2.96/3.19 (inj_0(s(s(z))) = inj_0(s(s(s(elem!1))))),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3651])).
% 2.96/3.19 tff(3653,plain,
% 2.96/3.19 (s(z) = s(s(elem!1))),
% 2.96/3.19 inference(transitivity,[status(thm)],[446, 3652, 204])).
% 2.96/3.19 tff(3654,plain,
% 2.96/3.19 ($false),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[738, 3653])).
% 2.96/3.19 tff(3655,plain,((~(s(elem!1) = s(s(s(z))))) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.19 tff(3656,plain,
% 2.96/3.19 (~(s(elem!1) = s(s(s(z))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3655, 2143])).
% 2.96/3.19 tff(3657,plain,
% 2.96/3.19 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), elem!1)),
% 2.96/3.19 inference(monotonicity,[status(thm)],[3623])).
% 2.96/3.19 tff(3658,plain,
% 2.96/3.19 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(elem!1))),
% 2.96/3.19 inference(symmetry,[status(thm)],[3657])).
% 2.96/3.19 tff(3659,plain,
% 2.96/3.19 (~r(s(s(s(s(z)))), elem!1)),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3581, 82, 3386, 1122])).
% 2.96/3.19 tff(3660,plain,
% 2.96/3.19 (b(s(s(s(s(z)))), elem!1)),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[1144, 3659, 3188])).
% 2.96/3.19 tff(3661,plain,
% 2.96/3.19 (b(s(s(s(s(z)))), s(elem!1))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3660, 3658])).
% 2.96/3.19 tff(3662,assumption,(~(s(elem!1) = s(s(s(z))))), introduced(assumption)).
% 2.96/3.19 tff(3663,assumption,(b(s(s(s(s(z)))), s(elem!1))), introduced(assumption)).
% 2.96/3.19 tff(3664,assumption,(~(s(elem!1) = s(s(s(s(z)))))), introduced(assumption)).
% 2.96/3.19 tff(3665,assumption,(~r(s(elem!1), s(s(s(s(z)))))), introduced(assumption)).
% 2.96/3.19 tff(3666,plain,
% 2.96/3.19 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(z))))) | b(s(elem!1), s(s(s(s(z))))) | r(s(elem!1), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(z))))) | b(s(elem!1), s(s(s(s(z))))) | r(s(elem!1), s(s(s(s(z))))))),
% 2.96/3.19 inference(rewrite,[status(thm)],[])).
% 2.96/3.19 tff(3667,plain,
% 2.96/3.19 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(z))))) | b(s(elem!1), s(s(s(s(z))))) | r(s(elem!1), s(s(s(s(z))))))),
% 2.96/3.19 inference(quant_inst,[status(thm)],[])).
% 2.96/3.19 tff(3668,plain,
% 2.96/3.19 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(z))))) | b(s(elem!1), s(s(s(s(z))))) | r(s(elem!1), s(s(s(s(z)))))),
% 2.96/3.19 inference(modus_ponens,[status(thm)],[3667, 3666])).
% 2.96/3.19 tff(3669,plain,
% 2.96/3.19 (b(s(elem!1), s(s(s(s(z)))))),
% 2.96/3.19 inference(unit_resolution,[status(thm)],[3668, 21, 3665, 3664])).
% 2.96/3.19 tff(3670,plain,
% 2.96/3.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.20 inference(rewrite,[status(thm)],[])).
% 2.96/3.20 tff(3671,plain,
% 2.96/3.20 (((~r(s(s(s(z))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z)))))) <=> ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.20 inference(rewrite,[status(thm)],[])).
% 2.96/3.20 tff(3672,plain,
% 2.96/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))))),
% 2.96/3.20 inference(monotonicity,[status(thm)],[3671])).
% 2.96/3.20 tff(3673,plain,
% 2.96/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.96/3.20 inference(transitivity,[status(thm)],[3672, 3670])).
% 2.96/3.20 tff(3674,plain,
% 2.96/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))))),
% 2.96/3.20 inference(quant_inst,[status(thm)],[])).
% 2.96/3.20 tff(3675,plain,
% 2.96/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))),
% 2.96/3.20 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 2.96/3.20 tff(3676,plain,
% 2.96/3.20 (~r(s(elem!1), s(s(s(z))))),
% 2.96/3.20 inference(unit_resolution,[status(thm)],[3675, 82, 427, 3047])).
% 2.96/3.20 tff(3677,plain,
% 2.96/3.20 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(z)))) | b(s(elem!1), s(s(s(z)))) | r(s(elem!1), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(z)))) | b(s(elem!1), s(s(s(z)))) | r(s(elem!1), s(s(s(z)))))),
% 2.96/3.20 inference(rewrite,[status(thm)],[])).
% 2.96/3.20 tff(3678,plain,
% 2.96/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(z)))) | b(s(elem!1), s(s(s(z)))) | r(s(elem!1), s(s(s(z)))))),
% 2.96/3.20 inference(quant_inst,[status(thm)],[])).
% 2.96/3.20 tff(3679,plain,
% 2.96/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(z)))) | b(s(elem!1), s(s(s(z)))) | r(s(elem!1), s(s(s(z))))),
% 2.96/3.20 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 2.96/3.20 tff(3680,plain,
% 2.96/3.20 (b(s(elem!1), s(s(s(z))))),
% 2.96/3.20 inference(unit_resolution,[status(thm)],[3679, 21, 3676, 3662])).
% 2.96/3.20 tff(3681,assumption,(b(s(elem!1), s(s(s(s(z)))))), introduced(assumption)).
% 2.96/3.20 tff(3682,plain,
% 2.96/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(elem!1))))),
% 2.96/3.20 inference(rewrite,[status(thm)],[])).
% 2.96/3.20 tff(3683,plain,
% 2.96/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(elem!1))))),
% 2.96/3.20 inference(quant_inst,[status(thm)],[])).
% 2.96/3.20 tff(3684,plain,
% 2.96/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(elem!1)))),
% 2.96/3.20 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 2.96/3.20 tff(3685,plain,
% 2.96/3.20 (~r(s(s(s(z))), s(elem!1))),
% 2.96/3.20 inference(unit_resolution,[status(thm)],[3684, 82, 427, 3047])).
% 2.96/3.20 tff(3686,plain,
% 2.96/3.20 ((s(elem!1) = s(s(s(z)))) <=> (s(s(s(z))) = s(elem!1))),
% 2.96/3.20 inference(commutativity,[status(thm)],[])).
% 2.96/3.20 tff(3687,plain,
% 2.96/3.20 ((~(s(elem!1) = s(s(s(z))))) <=> (~(s(s(s(z))) = s(elem!1)))),
% 2.96/3.20 inference(monotonicity,[status(thm)],[3686])).
% 2.96/3.20 tff(3688,plain,
% 2.96/3.20 (~(s(s(s(z))) = s(elem!1))),
% 2.96/3.20 inference(modus_ponens,[status(thm)],[3662, 3687])).
% 3.03/3.20 tff(3689,plain,
% 3.03/3.20 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(elem!1)) | b(s(s(s(z))), s(elem!1)) | r(s(s(s(z))), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(elem!1)) | b(s(s(s(z))), s(elem!1)) | r(s(s(s(z))), s(elem!1)))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3690,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(elem!1)) | b(s(s(s(z))), s(elem!1)) | r(s(s(s(z))), s(elem!1)))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3691,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(elem!1)) | b(s(s(s(z))), s(elem!1)) | r(s(s(s(z))), s(elem!1))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 3.03/3.20 tff(3692,plain,
% 3.03/3.20 (b(s(s(s(z))), s(elem!1))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3691, 21, 3688, 3685])).
% 3.03/3.20 tff(3693,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3694,plain,
% 3.03/3.20 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3695,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z))))))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3694])).
% 3.03/3.20 tff(3696,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[3695, 3693])).
% 3.03/3.20 tff(3697,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3698,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z))))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 3.03/3.20 tff(3699,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3698, 338, 539, 3663, 3692, 3681, 3680])).
% 3.03/3.20 tff(3700,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (s(elem!1) = s(s(s(z)))) | (~r(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(3701,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3700, 3669, 3663, 427, 3047, 3662, 539])).
% 3.03/3.20 tff(3702,plain,((~b(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(z))), s(z))) | (~r(s(elem!1), s(z))) | (s(elem!1) = s(s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | r(s(elem!1), s(s(s(s(z))))) | (s(elem!1) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(3703,plain,
% 3.03/3.20 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3702, 3661, 3656, 3646, 3047, 427, 3628])).
% 3.03/3.20 tff(3704,plain,
% 3.03/3.20 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[689, 3703])).
% 3.03/3.20 tff(3705,plain,
% 3.03/3.20 (~r(s(s(s(z))), z)),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3603, 3704, 1122])).
% 3.03/3.20 tff(3706,plain,
% 3.03/3.20 (b(s(s(s(z))), z)),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[135, 3705])).
% 3.03/3.20 tff(3707,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[2875, 82, 108, 911, 427])).
% 3.03/3.20 tff(3708,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(3709,plain,
% 3.03/3.20 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3708, 427, 108])).
% 3.03/3.20 tff(3710,plain,
% 3.03/3.20 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[689, 3709])).
% 3.03/3.20 tff(3711,plain,
% 3.03/3.20 (~r(elem!1, s(s(s(z))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3335, 427, 803])).
% 3.03/3.20 tff(3712,plain,
% 3.03/3.20 (b(elem!1, s(s(s(z))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[1160, 3711, 1050])).
% 3.03/3.20 tff(3713,plain,
% 3.03/3.20 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[2389, 3712, 2380, 3710, 1130])).
% 3.03/3.20 tff(3714,plain,
% 3.03/3.20 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[1011, 3713])).
% 3.03/3.20 tff(3715,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[2880, 82, 3714, 108, 427])).
% 3.03/3.20 tff(3716,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (elem!1 = s(s(s(z)))) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(3717,plain,
% 3.03/3.20 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3716, 3660, 803, 3375, 427, 2380])).
% 3.03/3.20 tff(3718,plain,
% 3.03/3.20 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[119, 3717])).
% 3.03/3.20 tff(3719,plain,
% 3.03/3.20 ((s(s(s(elem!1))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.03/3.20 inference(commutativity,[status(thm)],[])).
% 3.03/3.20 tff(3720,plain,
% 3.03/3.20 ((elem!1 = s(s(s(s(z))))) <=> (s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[1921])).
% 3.03/3.20 tff(3721,plain,
% 3.03/3.20 ((elem!1 = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[3720, 3719])).
% 3.03/3.20 tff(3722,plain,
% 3.03/3.20 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.03/3.20 inference(symmetry,[status(thm)],[3721])).
% 3.03/3.20 tff(3723,plain,
% 3.03/3.20 (s(elem!1) = s(s(s(s(elem!1))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[1921])).
% 3.03/3.20 tff(3724,plain,
% 3.03/3.20 (s(s(elem!1)) = s(s(s(s(s(elem!1)))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3723])).
% 3.03/3.20 tff(3725,plain,
% 3.03/3.20 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 3.03/3.20 inference(symmetry,[status(thm)],[3724])).
% 3.03/3.20 tff(3726,plain,
% 3.03/3.20 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3725])).
% 3.03/3.20 tff(3727,plain,
% 3.03/3.20 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3726])).
% 3.03/3.20 tff(3728,plain,
% 3.03/3.20 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[3727, 3719])).
% 3.03/3.20 tff(3729,plain,
% 3.03/3.20 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.03/3.20 inference(transitivity,[status(thm)],[3728, 3722, 1058])).
% 3.03/3.20 tff(3730,plain,
% 3.03/3.20 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3729])).
% 3.03/3.20 tff(3731,plain,
% 3.03/3.20 (~(s(s(s(s(z)))) = elem!1)),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3187, 3730])).
% 3.03/3.20 tff(3732,plain,
% 3.03/3.20 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[1921])).
% 3.03/3.20 tff(3733,plain,
% 3.03/3.20 (r(s(s(s(s(z)))), s(s(s(elem!1)))) <=> r(s(s(s(s(z)))), elem!1)),
% 3.03/3.20 inference(symmetry,[status(thm)],[3732])).
% 3.03/3.20 tff(3734,plain,
% 3.03/3.20 ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) <=> (~r(s(s(s(s(z)))), elem!1))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3733])).
% 3.03/3.20 tff(3735,plain,
% 3.03/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3736,plain,
% 3.03/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3737,plain,
% 3.03/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 3.03/3.20 tff(3738,plain,
% 3.03/3.20 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3737, 82, 1301, 1122])).
% 3.03/3.20 tff(3739,plain,
% 3.03/3.20 (~r(s(s(s(s(z)))), elem!1)),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3738, 3734])).
% 3.03/3.20 tff(3740,plain,
% 3.03/3.20 (b(s(s(s(s(z)))), elem!1)),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[1144, 3739, 3731])).
% 3.03/3.20 tff(3741,plain,
% 3.03/3.20 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[2389, 3740, 2380, 987, 2381])).
% 3.03/3.20 tff(3742,plain,
% 3.03/3.20 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[689, 3741])).
% 3.03/3.20 tff(3743,plain,
% 3.03/3.20 (~r(s(s(s(z))), z)),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3603, 3742, 1122])).
% 3.03/3.20 tff(3744,plain,
% 3.03/3.20 (b(s(s(s(z))), z)),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[135, 3743])).
% 3.03/3.20 tff(3745,plain,
% 3.03/3.20 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.03/3.20 inference(symmetry,[status(thm)],[3719])).
% 3.03/3.20 tff(3746,plain,
% 3.03/3.20 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[3728, 3745])).
% 3.03/3.20 tff(3747,plain,
% 3.03/3.20 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(elem!1))) = s(s(s(s(z))))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3746])).
% 3.03/3.20 tff(3748,plain,
% 3.03/3.20 (~(s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3187, 3747])).
% 3.03/3.20 tff(3749,plain,
% 3.03/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3750,plain,
% 3.03/3.20 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z))))))) <=> ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3751,plain,
% 3.03/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z))))))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3750])).
% 3.03/3.20 tff(3752,plain,
% 3.03/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[3751, 3749])).
% 3.03/3.20 tff(3753,plain,
% 3.03/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3754,plain,
% 3.03/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(elem!1))), s(s(s(s(z))))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3753, 3752])).
% 3.03/3.20 tff(3755,plain,
% 3.03/3.20 (~r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3754, 82, 1301, 1122])).
% 3.03/3.20 tff(3756,plain,
% 3.03/3.20 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(s(s(s(z))))) | b(s(s(s(elem!1))), s(s(s(s(z))))) | r(s(s(s(elem!1))), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(s(s(s(z))))) | b(s(s(s(elem!1))), s(s(s(s(z))))) | r(s(s(s(elem!1))), s(s(s(s(z))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3757,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(s(s(s(z))))) | b(s(s(s(elem!1))), s(s(s(s(z))))) | r(s(s(s(elem!1))), s(s(s(s(z))))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3758,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(s(s(s(z))))) | b(s(s(s(elem!1))), s(s(s(s(z))))) | r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 3.03/3.20 tff(3759,plain,
% 3.03/3.20 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3758, 21, 3755, 3748])).
% 3.03/3.20 tff(3760,plain,
% 3.03/3.20 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = s(s(s(elem!1)))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3728])).
% 3.03/3.20 tff(3761,plain,
% 3.03/3.20 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3187, 3760])).
% 3.03/3.20 tff(3762,assumption,(~b(s(s(s(s(z)))), s(s(s(elem!1))))), introduced(assumption)).
% 3.03/3.20 tff(3763,assumption,(~r(s(s(s(s(z)))), s(s(s(elem!1))))), introduced(assumption)).
% 3.03/3.20 tff(3764,plain,
% 3.03/3.20 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(s(elem!1)))) | r(s(s(s(s(z)))), s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(s(elem!1)))) | r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3765,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(s(elem!1)))) | r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3766,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(s(elem!1)))) | r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 3.03/3.20 tff(3767,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3766, 21, 3763, 3762, 1410])).
% 3.03/3.20 tff(3768,plain,(b(s(s(s(s(z)))), s(s(s(elem!1)))) | r(s(s(s(s(z)))), s(s(s(elem!1)))) | (s(s(s(s(z)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(3769,plain,
% 3.03/3.20 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3768, 3738, 3761])).
% 3.03/3.20 tff(3770,assumption,(b(s(s(s(elem!1))), s(s(s(s(z)))))), introduced(assumption)).
% 3.03/3.20 tff(3771,assumption,(b(s(s(s(s(z)))), s(s(s(elem!1))))), introduced(assumption)).
% 3.03/3.20 tff(3772,plain,
% 3.03/3.20 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3303, 3301])).
% 3.03/3.20 tff(3773,plain,
% 3.03/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3774,plain,
% 3.03/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3775,plain,
% 3.03/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(elem!1)))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3774, 3773])).
% 3.03/3.20 tff(3776,plain,
% 3.03/3.20 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3775, 82, 2588, 427])).
% 3.03/3.20 tff(3777,assumption,(~r(s(s(s(z))), s(s(s(elem!1))))), introduced(assumption)).
% 3.03/3.20 tff(3778,assumption,(~(s(s(s(z))) = s(s(s(elem!1))))), introduced(assumption)).
% 3.03/3.20 tff(3779,assumption,(~b(s(s(s(z))), s(s(s(elem!1))))), introduced(assumption)).
% 3.03/3.20 tff(3780,plain,
% 3.03/3.20 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(elem!1)))) | b(s(s(s(z))), s(s(s(elem!1)))) | r(s(s(s(z))), s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(elem!1)))) | b(s(s(s(z))), s(s(s(elem!1)))) | r(s(s(s(z))), s(s(s(elem!1)))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3781,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(elem!1)))) | b(s(s(s(z))), s(s(s(elem!1)))) | r(s(s(s(z))), s(s(s(elem!1)))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3782,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(elem!1)))) | b(s(s(s(z))), s(s(s(elem!1)))) | r(s(s(s(z))), s(s(s(elem!1))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 3.03/3.20 tff(3783,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3782, 21, 3779, 3778, 3777])).
% 3.03/3.20 tff(3784,plain,(r(s(s(s(z))), s(s(s(elem!1)))) | b(s(s(s(z))), s(s(s(elem!1)))) | (s(s(s(z))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(3785,plain,
% 3.03/3.20 (b(s(s(s(z))), s(s(s(elem!1))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3784, 3776, 3772])).
% 3.03/3.20 tff(3786,plain,
% 3.03/3.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3787,plain,
% 3.03/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3788,plain,
% 3.03/3.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(s(z)))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3787, 3786])).
% 3.03/3.20 tff(3789,plain,
% 3.03/3.20 (~r(s(s(s(elem!1))), s(s(s(z))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3788, 82, 2588, 427])).
% 3.03/3.20 tff(3790,plain,
% 3.03/3.20 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(s(s(z)))) | b(s(s(s(elem!1))), s(s(s(z)))) | r(s(s(s(elem!1))), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(s(s(z)))) | b(s(s(s(elem!1))), s(s(s(z)))) | r(s(s(s(elem!1))), s(s(s(z)))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3791,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(s(s(z)))) | b(s(s(s(elem!1))), s(s(s(z)))) | r(s(s(s(elem!1))), s(s(s(z)))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3792,plain,
% 3.03/3.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(s(s(z)))) | b(s(s(s(elem!1))), s(s(s(z)))) | r(s(s(s(elem!1))), s(s(s(z))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 3.03/3.20 tff(3793,plain,
% 3.03/3.20 (b(s(s(s(elem!1))), s(s(s(z))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3792, 21, 3301, 3789])).
% 3.03/3.20 tff(3794,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3795,plain,
% 3.03/3.20 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(3796,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[3795])).
% 3.03/3.20 tff(3797,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[3796, 3794])).
% 3.03/3.20 tff(3798,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(3799,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[3798, 3797])).
% 3.03/3.20 tff(3800,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3799, 338, 987, 3793, 3785, 3771, 3770])).
% 3.03/3.20 tff(3801,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (s(s(s(elem!1))) = s(s(s(z)))) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3802,plain,
% 3.03/3.21 (~r(s(s(s(z))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3801, 3769, 987, 3759, 3301, 2588])).
% 3.03/3.21 tff(3803,plain,
% 3.03/3.21 (b(s(s(s(z))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[437, 3802])).
% 3.03/3.21 tff(3804,plain,
% 3.03/3.21 (~b(z, s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3607, 3803, 1740, 3744, 486])).
% 3.03/3.21 tff(3805,plain,
% 3.03/3.21 (r(z, s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[149, 3804])).
% 3.03/3.21 tff(3806,plain,
% 3.03/3.21 (~r(z, s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[919, 3805, 3742])).
% 3.03/3.21 tff(3807,plain,
% 3.03/3.21 (b(z, s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[391, 3806])).
% 3.03/3.21 tff(3808,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3809,plain,
% 3.03/3.21 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3810,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[3809])).
% 3.03/3.21 tff(3811,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.03/3.21 inference(transitivity,[status(thm)],[3810, 3808])).
% 3.03/3.21 tff(3812,plain,
% 3.03/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(3813,plain,
% 3.03/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 3.03/3.21 tff(3814,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3813, 338, 486, 1740, 651, 2911, 555])).
% 3.03/3.21 tff(3815,plain,((~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3816,plain,
% 3.03/3.21 (~b(s(z), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3815, 3807, 1740, 486, 2911])).
% 3.03/3.21 tff(3817,plain,
% 3.03/3.21 (r(s(z), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[106, 3816])).
% 3.03/3.21 tff(3818,plain,
% 3.03/3.21 (~b(s(z), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1749, 3803, 1740, 486, 3744])).
% 3.03/3.21 tff(3819,plain,
% 3.03/3.21 (r(s(z), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[424, 3818])).
% 3.03/3.21 tff(3820,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3447, 82, 3819, 3817, 3742])).
% 3.03/3.21 tff(3821,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(s(s(elem!1))) = s(s(s(z)))) | (~r(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3822,plain,
% 3.03/3.21 (~r(s(s(s(s(z)))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3821, 987, 486, 2911, 1740, 3301, 2588, 2380, 2381, 1921, 1301])).
% 3.03/3.21 tff(3823,plain,
% 3.03/3.21 (b(s(s(s(s(z)))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[127, 3822])).
% 3.03/3.21 tff(3824,plain,
% 3.03/3.21 (~b(s(z), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3204, 3823, 1740, 486, 2911])).
% 3.03/3.21 tff(3825,plain,
% 3.03/3.21 (r(s(z), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[106, 3824])).
% 3.03/3.21 tff(3826,plain,
% 3.03/3.21 (~r(s(s(s(s(z)))), elem!1)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2949, 3825, 754])).
% 3.03/3.21 tff(3827,plain,
% 3.03/3.21 (b(s(s(s(s(z)))), elem!1)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1144, 3826, 3731])).
% 3.03/3.21 tff(3828,plain,
% 3.03/3.21 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2389, 3827, 2380, 987, 2381])).
% 3.03/3.21 tff(3829,plain,
% 3.03/3.21 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[689, 3828])).
% 3.03/3.21 tff(3830,plain,
% 3.03/3.21 (~r(s(s(s(z))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2959, 911, 72])).
% 3.03/3.21 tff(3831,plain,
% 3.03/3.21 (b(s(s(s(z))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[437, 3830])).
% 3.03/3.21 tff(3832,plain,
% 3.03/3.21 (~r(z, s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[919, 911, 371])).
% 3.03/3.21 tff(3833,plain,
% 3.03/3.21 (b(z, s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[149, 3832])).
% 3.03/3.21 tff(3834,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3356, 3833, 3831, 486, 1740, 457])).
% 3.03/3.21 tff(3835,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3836,plain,
% 3.03/3.21 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3835, 457, 1740, 486, 3274, 3206])).
% 3.03/3.21 tff(3837,plain,
% 3.03/3.21 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[689, 3836])).
% 3.03/3.21 tff(3838,plain,
% 3.03/3.21 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2389, 3837, 2380, 1130, 2381])).
% 3.03/3.21 tff(3839,plain,
% 3.03/3.21 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1011, 3838])).
% 3.03/3.21 tff(3840,plain,
% 3.03/3.21 (~r(z, s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1119, 3839, 3274])).
% 3.03/3.21 tff(3841,plain,
% 3.03/3.21 (b(z, s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[149, 3840])).
% 3.03/3.21 tff(3842,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3843,plain,
% 3.03/3.21 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3844,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[3843])).
% 3.03/3.21 tff(3845,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.21 inference(transitivity,[status(thm)],[3844, 3842])).
% 3.03/3.21 tff(3846,plain,
% 3.03/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(3847,plain,
% 3.03/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[3846, 3845])).
% 3.03/3.21 tff(3848,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3847, 338, 486, 457, 1740, 3841, 2911, 175])).
% 3.03/3.21 tff(3849,plain,((~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3850,plain,
% 3.03/3.21 (~b(s(z), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3849, 3827, 1740, 486, 2911, 3823, 2380, 2381])).
% 3.03/3.21 tff(3851,plain,
% 3.03/3.21 (r(s(z), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[424, 3850])).
% 3.03/3.21 tff(3852,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3447, 82, 3851, 3825, 3829])).
% 3.03/3.21 tff(3853,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~r(s(z), elem!1)) | (s(s(s(elem!1))) = s(s(s(z)))) | (~r(s(s(s(elem!1))), s(z))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3854,plain,
% 3.03/3.21 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3853, 3718, 486, 1740, 2380, 2381, 754, 3301, 2588, 3380, 1301])).
% 3.03/3.21 tff(3855,plain,
% 3.03/3.21 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1011, 3854])).
% 3.03/3.21 tff(3856,plain,
% 3.03/3.21 (~r(z, s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1127, 3855, 1122])).
% 3.03/3.21 tff(3857,plain,
% 3.03/3.21 (b(z, s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[149, 3856])).
% 3.03/3.21 tff(3858,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3406, 338, 486, 457, 1741, 1740, 3348])).
% 3.03/3.21 tff(3859,plain,((~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3860,plain,
% 3.03/3.21 (~b(s(z), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3859, 3706, 1740, 486, 3857])).
% 3.03/3.21 tff(3861,plain,
% 3.03/3.21 (r(s(z), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[424, 3860])).
% 3.03/3.21 tff(3862,plain,
% 3.03/3.21 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1455, 82, 487, 1038])).
% 3.03/3.21 tff(3863,plain,
% 3.03/3.21 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[68, 3862])).
% 3.03/3.21 tff(3864,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3865,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(3866,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z))))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 3.03/3.21 tff(3867,plain,
% 3.03/3.21 (~r(s(z), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3866, 82, 487, 406])).
% 3.03/3.21 tff(3868,plain,
% 3.03/3.21 (b(s(z), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[455, 3867])).
% 3.03/3.21 tff(3869,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3870,plain,
% 3.03/3.21 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3871,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[3870])).
% 3.03/3.21 tff(3872,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.03/3.21 inference(transitivity,[status(thm)],[3871, 3869])).
% 3.03/3.21 tff(3873,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(3874,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 3.03/3.21 tff(3875,plain,
% 3.03/3.21 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3874, 82, 406, 1038])).
% 3.03/3.21 tff(3876,plain,
% 3.03/3.21 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[105, 3875, 101])).
% 3.03/3.21 tff(3877,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3878,plain,
% 3.03/3.21 (((~r(s(z), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3879,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[3878])).
% 3.03/3.21 tff(3880,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.03/3.21 inference(transitivity,[status(thm)],[3879, 3877])).
% 3.03/3.21 tff(3881,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(z))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(3882,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[3881, 3880])).
% 3.03/3.21 tff(3883,plain,
% 3.03/3.21 (~r(s(s(z)), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3882, 82, 487, 406])).
% 3.03/3.21 tff(3884,plain,
% 3.03/3.21 (b(s(s(z)), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[470, 21, 449, 3883])).
% 3.03/3.21 tff(3885,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2917, 338, 3884, 3876, 3868, 2911, 3863])).
% 3.03/3.21 tff(3886,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3887,plain,
% 3.03/3.21 (~r(s(s(z)), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3886, 3861, 3855, 3718])).
% 3.03/3.21 tff(3888,plain,
% 3.03/3.21 (b(s(s(z)), s(s(s(z))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[534, 3887])).
% 3.03/3.21 tff(3889,plain,
% 3.03/3.21 ((z = s(s(z))) <=> (s(s(z)) = z)),
% 3.03/3.21 inference(commutativity,[status(thm)],[])).
% 3.03/3.21 tff(3890,plain,
% 3.03/3.21 ((s(s(z)) = z) <=> (z = s(s(z)))),
% 3.03/3.21 inference(symmetry,[status(thm)],[3889])).
% 3.03/3.21 tff(3891,plain,
% 3.03/3.21 ((~(s(s(z)) = z)) <=> (~(z = s(s(z))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[3890])).
% 3.03/3.21 tff(3892,plain,
% 3.03/3.21 (~(z = s(s(z)))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[56, 3891])).
% 3.03/3.21 tff(3893,assumption,(r(s(s(z)), z)), introduced(assumption)).
% 3.03/3.21 tff(3894,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3895,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(3896,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 3.03/3.21 tff(3897,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3896, 82, 71, 1122, 3893])).
% 3.03/3.21 tff(3898,plain,((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3899,plain,
% 3.03/3.21 (~r(s(s(z)), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3898, 71, 1122])).
% 3.03/3.21 tff(3900,plain,
% 3.03/3.21 (b(s(s(z)), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[497, 21, 56, 3899])).
% 3.03/3.21 tff(3901,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3902,plain,
% 3.03/3.21 (((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3903,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[3902])).
% 3.03/3.21 tff(3904,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)))),
% 3.03/3.21 inference(transitivity,[status(thm)],[3903, 3901])).
% 3.03/3.21 tff(3905,plain,
% 3.03/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(3906,plain,
% 3.03/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 3.03/3.21 tff(3907,plain,
% 3.03/3.21 (~b(z, s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3906, 338, 476, 1741, 3348, 3900])).
% 3.03/3.21 tff(3908,plain,
% 3.03/3.21 ((z = s(s(z))) | r(z, s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[512, 21, 3907])).
% 3.03/3.21 tff(3909,plain,
% 3.03/3.21 (r(z, s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3908, 3892])).
% 3.03/3.21 tff(3910,plain,
% 3.03/3.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(3911,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(3912,plain,
% 3.03/3.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 3.03/3.21 tff(3913,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3912, 82, 71, 1122, 3909])).
% 3.03/3.21 tff(3914,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(3915,plain,
% 3.03/3.21 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3914, 3888, 3857, 1122, 3706])).
% 3.03/3.21 tff(3916,plain,
% 3.03/3.21 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[68, 3915])).
% 3.03/3.21 tff(3917,plain,
% 3.03/3.21 (b(elem!1, s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1094, 3627, 3388])).
% 3.03/3.21 tff(3918,assumption,(b(elem!1, s(s(s(s(z)))))), introduced(assumption)).
% 3.03/3.21 tff(3919,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3920,plain,
% 3.03/3.22 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(z)))) | (~b(elem!1, s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3921,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3920])).
% 3.03/3.22 tff(3922,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[3921, 3919])).
% 3.03/3.22 tff(3923,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(3924,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 3.03/3.22 tff(3925,plain,
% 3.03/3.22 (~b(s(s(z)), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3924, 338, 476, 3918, 3348, 3516, 540])).
% 3.03/3.22 tff(3926,plain,
% 3.03/3.22 (r(s(s(z)), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[497, 21, 56, 3925])).
% 3.03/3.22 tff(3927,plain,
% 3.03/3.22 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), elem!1)))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3928,plain,
% 3.03/3.22 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), elem!1)))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(3929,plain,
% 3.03/3.22 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), elem!1))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 3.03/3.22 tff(3930,plain,
% 3.03/3.22 (~r(s(s(z)), elem!1)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3929, 82, 802, 3926])).
% 3.03/3.22 tff(3931,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3932,plain,
% 3.03/3.22 (((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(z)))) | (~b(elem!1, s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3933,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3932])).
% 3.03/3.22 tff(3934,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[3933, 3931])).
% 3.03/3.22 tff(3935,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(3936,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(z))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 3.03/3.22 tff(3937,plain,
% 3.03/3.22 (~b(s(s(z)), elem!1)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3936, 338, 476, 3918, 2381, 3516, 540])).
% 3.03/3.22 tff(3938,plain,
% 3.03/3.22 ((s(s(z)) = elem!1) | r(s(s(z)), elem!1)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3541, 21, 3937])).
% 3.03/3.22 tff(3939,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3938, 3930, 3515])).
% 3.03/3.22 tff(3940,plain,((~b(elem!1, s(s(z)))) | (~r(elem!1, z)) | (elem!1 = s(s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(3941,plain,
% 3.03/3.22 (~b(elem!1, s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3940, 3888, 2346, 3386, 3917, 2381, 3916, 3857])).
% 3.03/3.22 tff(3942,plain,
% 3.03/3.22 (r(elem!1, s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[2442, 3941, 2346])).
% 3.03/3.22 tff(3943,plain,
% 3.03/3.22 (~r(s(z), s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3555, 3942, 803])).
% 3.03/3.22 tff(3944,plain,
% 3.03/3.22 (b(s(z), s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[455, 3943])).
% 3.03/3.22 tff(3945,plain,
% 3.03/3.22 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[2959, 3704, 427])).
% 3.03/3.22 tff(3946,plain,
% 3.03/3.22 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[106, 3945])).
% 3.03/3.22 tff(3947,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3948,plain,
% 3.03/3.22 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3949,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3948])).
% 3.03/3.22 tff(3950,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[3949, 3947])).
% 3.03/3.22 tff(3951,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(3952,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 3.03/3.22 tff(3953,plain,
% 3.03/3.22 (~b(s(s(z)), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3952, 338, 3888, 3857, 3946, 3944, 3916])).
% 3.03/3.22 tff(3954,plain,
% 3.03/3.22 (r(s(s(z)), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[497, 21, 56, 3953])).
% 3.03/3.22 tff(3955,plain,
% 3.03/3.22 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(elem!1, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(elem!1, s(s(z)))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3956,plain,
% 3.03/3.22 (((~r(s(s(z)), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(z))))) <=> ((~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(elem!1, s(s(z)))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(3957,plain,
% 3.03/3.22 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(elem!1, s(s(z))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3956])).
% 3.03/3.22 tff(3958,plain,
% 3.03/3.22 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(elem!1, s(s(z)))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[3957, 3955])).
% 3.03/3.22 tff(3959,plain,
% 3.03/3.22 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(z)))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(3960,plain,
% 3.03/3.22 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(s(z)), z)) | (~r(elem!1, s(s(z))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[3959, 3958])).
% 3.03/3.22 tff(3961,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3960, 82, 3386, 3942, 3954])).
% 3.03/3.22 tff(3962,plain,((~r(s(s(s(s(z)))), z)) | (~r(elem!1, s(z))) | (elem!1 = s(s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(elem!1), s(z))) | (~(s(s(s(elem!1))) = s(elem!1))) | (~(s(s(s(elem!1))) = elem!1)) | (~b(s(s(s(z))), elem!1)) | (~r(s(z), elem!1)) | (s(s(s(elem!1))) = s(s(s(z)))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(3963,plain,
% 3.03/3.22 (~r(s(s(s(s(z)))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3962, 3410, 2346, 803, 1740, 3194, 3621, 3047, 1419, 2143, 3374, 754, 3301, 2588, 1301])).
% 3.03/3.22 tff(3964,plain,
% 3.03/3.22 (b(s(s(s(s(z)))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[127, 3963])).
% 3.03/3.22 tff(3965,plain,
% 3.03/3.22 (~b(s(s(s(s(z)))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3284, 3964, 1740, 3194, 1414, 3374, 754])).
% 3.03/3.22 tff(3966,plain,
% 3.03/3.22 (r(s(s(s(s(z)))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[119, 3965])).
% 3.03/3.22 tff(3967,plain,
% 3.03/3.22 (~r(s(s(s(s(z)))), elem!1)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3417, 3966, 754])).
% 3.03/3.22 tff(3968,plain,
% 3.03/3.22 (~b(s(s(s(s(z)))), elem!1)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3716, 3966, 803, 3375, 3621, 3374])).
% 3.03/3.22 tff(3969,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[1144, 3968, 3967, 3188])).
% 3.03/3.22 tff(3970,plain,((~r(s(s(s(elem!1))), z)) | (~r(elem!1, s(z))) | (~r(s(z), elem!1)) | (~b(s(z), z)) | (~(elem!1 = s(s(elem!1)))) | (elem!1 = s(s(z))) | (~r(s(elem!1), s(z))) | (~(s(s(s(elem!1))) = elem!1)) | (s(s(s(elem!1))) = s(s(s(z)))) | (~r(s(s(s(elem!1))), s(z))) | (~(s(s(elem!1)) = elem!1)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(3971,plain,
% 3.03/3.22 (~r(s(s(s(elem!1))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3970, 3193, 754, 1740, 803, 3371, 3320, 2143, 3122, 2588, 3308, 3124])).
% 3.03/3.22 tff(3972,plain,
% 3.03/3.22 (b(s(s(s(elem!1))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[1387, 3971])).
% 3.03/3.22 tff(3973,plain,
% 3.03/3.22 (b(elem!1, s(s(s(z))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[1160, 1154, 1050])).
% 3.03/3.22 tff(3974,plain,
% 3.03/3.22 (b(elem!1, z) <=> b(s(s(s(elem!1))), z)),
% 3.03/3.22 inference(monotonicity,[status(thm)],[1921])).
% 3.03/3.22 tff(3975,plain,
% 3.03/3.22 (b(s(s(s(elem!1))), z) <=> b(elem!1, z)),
% 3.03/3.22 inference(symmetry,[status(thm)],[3974])).
% 3.03/3.22 tff(3976,plain,
% 3.03/3.22 (b(elem!1, z)),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[1596, 3975])).
% 3.03/3.22 tff(3977,assumption,(~b(elem!1, z)), introduced(assumption)).
% 3.03/3.22 tff(3978,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3977, 3976])).
% 3.03/3.22 tff(3979,plain,((~(elem!1 = s(s(s(elem!1))))) | b(elem!1, z) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(3980,plain,
% 3.03/3.22 (b(elem!1, z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3979, 1596, 3380])).
% 3.03/3.22 tff(3981,plain,
% 3.03/3.22 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3716, 427, 803, 1050, 1130, 2380])).
% 3.03/3.22 tff(3982,plain,
% 3.03/3.22 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[119, 3981])).
% 3.03/3.22 tff(3983,assumption,(s(s(s(z))) = s(elem!1)), introduced(assumption)).
% 3.03/3.22 tff(3984,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3983, 3688])).
% 3.03/3.22 tff(3985,plain,((~(s(s(s(z))) = s(elem!1))) | (s(elem!1) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(3986,plain,
% 3.03/3.22 (~(s(s(s(z))) = s(elem!1))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3985, 3656])).
% 3.03/3.22 tff(3987,plain,
% 3.03/3.22 (r(s(elem!1), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3623])).
% 3.03/3.22 tff(3988,plain,
% 3.03/3.22 (r(elem!1, s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 3.03/3.22 inference(symmetry,[status(thm)],[3987])).
% 3.03/3.22 tff(3989,plain,
% 3.03/3.22 ((~r(elem!1, s(s(s(z))))) <=> (~r(s(elem!1), s(s(s(z)))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3988])).
% 3.03/3.22 tff(3990,plain,
% 3.03/3.22 (~r(s(elem!1), s(s(s(z))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[1154, 3989])).
% 3.03/3.22 tff(3991,plain,
% 3.03/3.22 ((s(s(s(z))) = s(elem!1)) <=> (s(elem!1) = s(s(s(z))))),
% 3.03/3.22 inference(symmetry,[status(thm)],[3686])).
% 3.03/3.22 tff(3992,plain,
% 3.03/3.22 ((~(s(s(s(z))) = s(elem!1))) <=> (~(s(elem!1) = s(s(s(z)))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3991])).
% 3.03/3.22 tff(3993,assumption,(~(s(s(s(z))) = s(elem!1))), introduced(assumption)).
% 3.03/3.22 tff(3994,plain,
% 3.03/3.22 (~(s(elem!1) = s(s(s(z))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 3.03/3.22 tff(3995,plain,
% 3.03/3.22 (b(s(elem!1), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3622])).
% 3.03/3.22 tff(3996,plain,
% 3.03/3.22 (b(s(s(s(elem!1))), s(s(s(z)))) <=> b(s(elem!1), s(s(s(z))))),
% 3.03/3.22 inference(symmetry,[status(thm)],[3995])).
% 3.03/3.22 tff(3997,plain,
% 3.03/3.22 ((~b(s(s(s(elem!1))), s(s(s(z))))) <=> (~b(s(elem!1), s(s(s(z)))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[3996])).
% 3.03/3.22 tff(3998,assumption,(~b(s(s(s(elem!1))), s(s(s(z))))), introduced(assumption)).
% 3.03/3.22 tff(3999,plain,
% 3.03/3.22 (~b(s(elem!1), s(s(s(z))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[3998, 3997])).
% 3.03/3.22 tff(4000,assumption,(~r(s(elem!1), s(s(s(z))))), introduced(assumption)).
% 3.03/3.22 tff(4001,plain,
% 3.03/3.22 ((s(elem!1) = s(s(s(z)))) | b(s(elem!1), s(s(s(z))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3679, 21, 4000])).
% 3.03/3.22 tff(4002,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[4001, 3999, 3994])).
% 3.03/3.22 tff(4003,plain,(r(s(elem!1), s(s(s(z)))) | b(s(s(s(elem!1))), s(s(s(z)))) | (~(s(s(s(elem!1))) = s(elem!1))) | (s(s(s(z))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(4004,plain,
% 3.03/3.22 (b(s(s(s(elem!1))), s(s(s(z))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[4003, 3990, 213, 3986])).
% 3.03/3.22 tff(4005,plain,
% 3.03/3.22 (r(s(s(s(z))), s(s(s(elem!1)))) <=> r(s(s(s(z))), elem!1)),
% 3.03/3.22 inference(monotonicity,[status(thm)],[2143])).
% 3.03/3.22 tff(4006,plain,
% 3.03/3.22 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), s(s(s(elem!1))))),
% 3.03/3.22 inference(symmetry,[status(thm)],[4005])).
% 3.03/3.22 tff(4007,plain,
% 3.03/3.22 ((~r(s(s(s(z))), elem!1)) <=> (~r(s(s(s(z))), s(s(s(elem!1)))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[4006])).
% 3.03/3.22 tff(4008,plain,
% 3.03/3.22 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[1104, 4007])).
% 3.03/3.22 tff(4009,plain,
% 3.03/3.22 (b(s(s(s(z))), s(s(s(elem!1))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3784, 4008, 3778])).
% 3.03/3.22 tff(4010,plain,
% 3.03/3.22 (b(s(s(s(s(z)))), s(elem!1))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[1130, 3658])).
% 3.03/3.22 tff(4011,assumption,(b(s(s(s(elem!1))), s(s(s(z))))), introduced(assumption)).
% 3.03/3.22 tff(4012,assumption,(b(s(s(s(z))), s(s(s(elem!1))))), introduced(assumption)).
% 3.03/3.22 tff(4013,plain,
% 3.03/3.22 (s(s(s(elem!1))) = elem!1),
% 3.03/3.22 inference(symmetry,[status(thm)],[1921])).
% 3.03/3.22 tff(4014,plain,
% 3.03/3.22 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), elem!1)),
% 3.03/3.22 inference(monotonicity,[status(thm)],[4013])).
% 3.03/3.22 tff(4015,plain,
% 3.03/3.22 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.03/3.22 inference(symmetry,[status(thm)],[4014])).
% 3.03/3.22 tff(4016,plain,
% 3.03/3.22 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[1130, 4015])).
% 3.03/3.22 tff(4017,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(4018,plain,
% 3.03/3.22 (((~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(4019,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[4018])).
% 3.03/3.22 tff(4020,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[4019, 4017])).
% 3.03/3.22 tff(4021,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(4022,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[4021, 4020])).
% 3.03/3.22 tff(4023,plain,
% 3.03/3.22 (~b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[4022, 338, 1596, 3348, 987, 4011, 4012])).
% 3.03/3.22 tff(4024,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[4023, 4016])).
% 3.03/3.22 tff(4025,plain,((~b(s(s(s(s(z)))), elem!1)) | (~(elem!1 = s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(4026,plain,
% 3.03/3.22 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[4025, 3348, 1596, 1130, 4012, 4011, 1921])).
% 3.03/3.22 tff(4027,plain,
% 3.03/3.22 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[1011, 4026])).
% 3.03/3.22 tff(4028,plain,
% 3.03/3.22 (~r(s(s(z)), s(s(s(z))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[1457, 4027, 71])).
% 3.03/3.22 tff(4029,plain,
% 3.03/3.22 (b(s(s(z)), s(s(s(z))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[534, 4028])).
% 3.03/3.22 tff(4030,plain,
% 3.03/3.22 (~b(s(s(s(z))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3914, 4029, 71, 1122, 3348])).
% 3.03/3.22 tff(4031,plain,
% 3.03/3.22 (r(s(s(s(z))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[135, 4030])).
% 3.03/3.22 tff(4032,plain,
% 3.03/3.22 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3603, 4031, 1122])).
% 3.03/3.22 tff(4033,plain,
% 3.03/3.22 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[689, 4032])).
% 3.03/3.22 tff(4034,plain,
% 3.03/3.22 (r(s(elem!1), s(s(s(s(z)))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3702, 4033, 3662, 3664, 3047, 3663, 427])).
% 3.03/3.22 tff(4035,assumption,(r(s(elem!1), s(s(s(s(z)))))), introduced(assumption)).
% 3.03/3.23 tff(4036,plain,
% 3.03/3.23 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4037,plain,
% 3.03/3.23 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(z)))) <=> ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4038,plain,
% 3.03/3.23 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[4037])).
% 3.03/3.23 tff(4039,plain,
% 3.03/3.23 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.03/3.23 inference(transitivity,[status(thm)],[4038, 4036])).
% 3.03/3.23 tff(4040,plain,
% 3.03/3.23 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(4041,plain,
% 3.03/3.23 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[4040, 4039])).
% 3.03/3.23 tff(4042,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4041, 82, 72, 3047, 4035])).
% 3.03/3.23 tff(4043,plain,((~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(4044,plain,
% 3.03/3.23 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4043, 4034, 3047])).
% 3.03/3.23 tff(4045,plain,
% 3.03/3.23 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[106, 4044])).
% 3.03/3.23 tff(4046,plain,
% 3.03/3.23 ((z = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = z)),
% 3.03/3.23 inference(commutativity,[status(thm)],[])).
% 3.03/3.23 tff(4047,plain,
% 3.03/3.23 ((s(s(s(s(z)))) = z) <=> (z = s(s(s(s(z)))))),
% 3.03/3.23 inference(symmetry,[status(thm)],[4046])).
% 3.03/3.23 tff(4048,plain,
% 3.03/3.23 ((~(s(s(s(s(z)))) = z)) <=> (~(z = s(s(s(s(z))))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[4047])).
% 3.03/3.23 tff(4049,plain,
% 3.03/3.23 (~(z = s(s(s(s(z)))))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[123, 4048])).
% 3.03/3.23 tff(4050,plain,
% 3.03/3.23 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4051,plain,
% 3.03/3.23 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4052,plain,
% 3.03/3.23 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[4051])).
% 3.03/3.23 tff(4053,plain,
% 3.03/3.23 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.23 inference(transitivity,[status(thm)],[4052, 4050])).
% 3.03/3.23 tff(4054,plain,
% 3.03/3.23 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(4055,plain,
% 3.03/3.23 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[4054, 4053])).
% 3.03/3.23 tff(4056,plain,
% 3.03/3.23 (~r(z, s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4055, 82, 71, 556])).
% 3.03/3.23 tff(4057,plain,
% 3.03/3.23 ((z = s(s(s(s(z))))) | b(z, s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[389, 21, 4056])).
% 3.03/3.23 tff(4058,plain,
% 3.03/3.23 (b(z, s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4057, 4049])).
% 3.03/3.23 tff(4059,plain,
% 3.03/3.23 (~r(s(s(s(s(z)))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3912, 82, 71, 556])).
% 3.03/3.23 tff(4060,plain,
% 3.03/3.23 (b(s(s(s(s(z)))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[127, 4059])).
% 3.03/3.23 tff(4061,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3503, 338, 486, 1740, 651, 4060, 4058])).
% 3.03/3.23 tff(4062,plain,((~r(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(4063,plain,
% 3.03/3.23 (~r(z, s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4062, 4045, 486, 71, 1740])).
% 3.03/3.23 tff(4064,plain,
% 3.03/3.23 (b(z, s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[563, 4063])).
% 3.03/3.23 tff(4065,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4066,plain,
% 3.03/3.23 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4067,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[4066])).
% 3.03/3.23 tff(4068,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.23 inference(transitivity,[status(thm)],[4067, 4065])).
% 3.03/3.23 tff(4069,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(4070,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 3.03/3.23 tff(4071,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4070, 338, 4029, 4064, 3348, 2380, 4033, 1130])).
% 3.03/3.23 tff(4072,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~r(s(elem!1), s(z))) | (s(elem!1) = s(s(s(z)))) | (s(elem!1) = s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~(elem!1 = s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(4073,plain,
% 3.03/3.23 (~b(z, s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4072, 427, 1130, 486, 71, 1740, 3047, 3656, 3646, 4010, 2380, 1122, 1596, 4009, 4004, 3380])).
% 3.03/3.23 tff(4074,plain,
% 3.03/3.23 (r(z, s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[149, 4073])).
% 3.03/3.23 tff(4075,plain,
% 3.03/3.23 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1127, 4074, 1122])).
% 3.03/3.23 tff(4076,plain,
% 3.03/3.23 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1011, 4075])).
% 3.03/3.23 tff(4077,plain,
% 3.03/3.23 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[2389, 4076, 2380, 1130, 3973])).
% 3.03/3.23 tff(4078,plain,
% 3.03/3.23 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[689, 4077])).
% 3.03/3.23 tff(4079,plain,
% 3.03/3.23 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[2959, 4078, 427])).
% 3.03/3.23 tff(4080,plain,
% 3.03/3.23 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[106, 4079])).
% 3.03/3.23 tff(4081,plain,
% 3.03/3.23 (~r(z, s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[919, 4078, 4074])).
% 3.03/3.23 tff(4082,plain,
% 3.03/3.23 (b(z, s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[391, 4081])).
% 3.03/3.23 tff(4083,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3815, 4082, 4080, 1740, 486, 3982])).
% 3.03/3.23 tff(4084,plain,((~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(z))) | (~b(s(s(s(elem!1))), z)) | (~(s(s(s(elem!1))) = s(elem!1))) | (s(s(s(z))) = s(s(s(elem!1)))) | r(elem!1, s(s(s(z)))) | (~(s(s(s(elem!1))) = elem!1)) | r(s(s(s(z))), elem!1) | (~r(elem!1, s(z))) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(4085,plain,
% 3.03/3.23 (~r(s(s(s(z))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4084, 71, 486, 2380, 1130, 1122, 1740, 3047, 1596, 213, 3778, 1154, 2143, 1104, 803, 1050])).
% 3.03/3.23 tff(4086,plain,
% 3.03/3.23 (b(s(s(s(z))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[437, 4085])).
% 3.03/3.23 tff(4087,plain,
% 3.03/3.23 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[2389, 987, 2380, 1130, 2381])).
% 3.03/3.23 tff(4088,plain,
% 3.03/3.23 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[689, 4087])).
% 3.03/3.23 tff(4089,plain,
% 3.03/3.23 (~r(s(s(s(z))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3603, 4088, 1122])).
% 3.03/3.23 tff(4090,plain,
% 3.03/3.23 (b(s(s(s(z))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[135, 4089])).
% 3.03/3.23 tff(4091,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3617, 338, 486, 4090, 458, 2381, 987, 1130])).
% 3.03/3.23 tff(4092,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(4093,plain,
% 3.03/3.23 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4092, 4086, 486, 3973, 1130, 1122, 2380])).
% 3.03/3.23 tff(4094,plain,
% 3.03/3.23 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1011, 4093])).
% 3.03/3.23 tff(4095,plain,
% 3.03/3.23 (~r(z, s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1127, 4094, 1122])).
% 3.03/3.23 tff(4096,plain,
% 3.03/3.23 (b(z, s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[149, 4095])).
% 3.03/3.23 tff(4097,plain,
% 3.03/3.23 (~b(s(s(s(z))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3607, 4096, 1740, 4086, 486])).
% 3.03/3.23 tff(4098,plain,
% 3.03/3.23 (r(s(s(s(z))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[135, 4097])).
% 3.03/3.23 tff(4099,plain,
% 3.03/3.23 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3603, 4098, 1122])).
% 3.03/3.23 tff(4100,plain,
% 3.03/3.23 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[689, 4099])).
% 3.03/3.23 tff(4101,plain,
% 3.03/3.23 (~b(s(z), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3356, 4096, 486, 1740, 4086])).
% 3.03/3.23 tff(4102,plain,
% 3.03/3.23 (r(s(z), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[424, 4101])).
% 3.03/3.23 tff(4103,plain,
% 3.03/3.23 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3437, 4102, 4094])).
% 3.03/3.23 tff(4104,plain,
% 3.03/3.23 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[119, 4103])).
% 3.03/3.23 tff(4105,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3874, 82, 406, 1038, 72])).
% 3.03/3.23 tff(4106,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(4107,plain,
% 3.03/3.23 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4106, 4102, 4094])).
% 3.03/3.23 tff(4108,plain,
% 3.03/3.23 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[106, 4107])).
% 3.03/3.23 tff(4109,plain,
% 3.03/3.23 (~r(z, s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4062, 4108, 486, 71, 1740])).
% 3.03/3.23 tff(4110,plain,
% 3.03/3.23 (b(z, s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[563, 4109])).
% 3.03/3.23 tff(4111,plain,
% 3.03/3.23 (~r(s(s(z)), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1457, 4094, 71])).
% 3.03/3.23 tff(4112,plain,
% 3.03/3.23 (b(s(s(z)), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[534, 4111])).
% 3.03/3.23 tff(4113,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4114,plain,
% 3.03/3.23 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4115,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[4114])).
% 3.03/3.23 tff(4116,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.03/3.23 inference(transitivity,[status(thm)],[4115, 4113])).
% 3.03/3.23 tff(4117,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(4118,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[4117, 4116])).
% 3.03/3.23 tff(4119,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4118, 338, 4112, 4110, 4096, 4086, 4104, 4100])).
% 3.03/3.23 tff(4120,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~r(s(elem!1), s(z))) | (~b(s(s(s(elem!1))), z)) | (~(s(s(s(elem!1))) = s(elem!1))) | (s(s(s(z))) = s(s(s(elem!1)))) | r(elem!1, s(s(s(z)))) | (~(s(s(s(elem!1))) = elem!1)) | r(s(s(s(z))), elem!1) | (~r(elem!1, s(z))) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(4121,plain,
% 3.03/3.23 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4120, 1122, 1740, 486, 1130, 2380, 3047, 1596, 213, 3778, 1154, 2143, 1104, 803, 1050])).
% 3.03/3.23 tff(4122,plain,
% 3.03/3.23 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[68, 4121])).
% 3.03/3.23 tff(4123,plain,
% 3.03/3.23 (~r(z, s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1127, 1038, 1122])).
% 3.03/3.23 tff(4124,plain,
% 3.03/3.23 (b(z, s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[149, 4123])).
% 3.03/3.23 tff(4125,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4126,plain,
% 3.03/3.23 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4127,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[4126])).
% 3.03/3.23 tff(4128,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.23 inference(transitivity,[status(thm)],[4127, 4125])).
% 3.03/3.23 tff(4129,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(4130,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[4129, 4128])).
% 3.03/3.23 tff(4131,plain,
% 3.03/3.23 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4130, 338, 1131, 4124, 2381, 2380, 1130])).
% 3.03/3.23 tff(4132,plain,
% 3.03/3.23 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[689, 4131])).
% 3.03/3.23 tff(4133,plain,
% 3.03/3.23 (~r(s(s(s(z))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3603, 4132, 1122])).
% 3.03/3.23 tff(4134,plain,
% 3.03/3.23 (b(s(s(s(z))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[135, 4133])).
% 3.03/3.23 tff(4135,plain,
% 3.03/3.23 (~b(s(z), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3859, 4134, 1740, 486, 4124])).
% 3.03/3.23 tff(4136,plain,
% 3.03/3.23 (r(s(z), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[424, 4135])).
% 3.03/3.23 tff(4137,plain,
% 3.03/3.23 (~b(s(s(s(z))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3607, 4134, 1740, 4124, 486])).
% 3.03/3.23 tff(4138,plain,
% 3.03/3.23 (r(s(s(s(z))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[437, 4137])).
% 3.03/3.23 tff(4139,plain,
% 3.03/3.23 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3716, 4138, 803, 1050, 1130, 2380])).
% 3.03/3.23 tff(4140,plain,
% 3.03/3.23 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[119, 4139])).
% 3.03/3.23 tff(4141,plain,
% 3.03/3.23 (~r(s(s(z)), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3886, 4140, 1038, 4136])).
% 3.03/3.23 tff(4142,plain,
% 3.03/3.23 (b(s(s(z)), s(s(s(z))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[534, 4141])).
% 3.03/3.23 tff(4143,plain,
% 3.03/3.23 (r(s(s(z)), elem!1)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3542, 3515])).
% 3.03/3.23 tff(4144,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4145,plain,
% 3.03/3.23 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4146,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z))))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[4145])).
% 3.03/3.23 tff(4147,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z)))))),
% 3.03/3.23 inference(transitivity,[status(thm)],[4146, 4144])).
% 3.03/3.23 tff(4148,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(4149,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(z))))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[4148, 4147])).
% 3.03/3.23 tff(4150,plain,
% 3.03/3.23 (~b(s(s(z)), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4149, 338, 476, 3348, 3516, 1130, 540])).
% 3.03/3.23 tff(4151,plain,
% 3.03/3.23 (r(s(s(z)), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[497, 21, 56, 4150])).
% 3.03/3.23 tff(4152,plain,
% 3.03/3.23 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(s(s(z)), z)))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(4153,plain,
% 3.03/3.23 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(s(s(z)), z)))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(4154,plain,
% 3.03/3.23 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(s(s(z)), z))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[4153, 4152])).
% 3.03/3.23 tff(4155,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4154, 82, 234, 4151, 4143])).
% 3.03/3.24 tff(4156,plain,((~b(elem!1, s(s(z)))) | (~r(z, elem!1)) | (elem!1 = s(s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4157,plain,
% 3.03/3.24 (~b(elem!1, s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4156, 4142, 2346, 234, 2381, 1130, 540, 4124])).
% 3.03/3.24 tff(4158,plain,
% 3.03/3.24 (r(elem!1, s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2442, 4157, 2346])).
% 3.03/3.24 tff(4159,plain,
% 3.03/3.24 (~r(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3555, 4158, 803])).
% 3.03/3.24 tff(4160,plain,
% 3.03/3.24 (b(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[455, 4159])).
% 3.03/3.24 tff(4161,plain,
% 3.03/3.24 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2959, 4138, 4132])).
% 3.03/3.24 tff(4162,plain,
% 3.03/3.24 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[106, 4161])).
% 3.03/3.24 tff(4163,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4164,plain,
% 3.03/3.24 (((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4165,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 3.03/3.24 inference(monotonicity,[status(thm)],[4164])).
% 3.03/3.24 tff(4166,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.03/3.24 inference(transitivity,[status(thm)],[4165, 4163])).
% 3.03/3.24 tff(4167,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(4168,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(z)), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[4167, 4166])).
% 3.03/3.24 tff(4169,plain,
% 3.03/3.24 (~b(s(s(z)), elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4168, 338, 4142, 2381, 4162, 4160, 540])).
% 3.03/3.24 tff(4170,plain,
% 3.03/3.24 ((s(s(z)) = elem!1) | r(s(s(z)), elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3541, 21, 4169])).
% 3.03/3.24 tff(4171,plain,
% 3.03/3.24 (r(s(s(z)), elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4170, 3515])).
% 3.03/3.24 tff(4172,plain,
% 3.03/3.24 (~b(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3952, 338, 4142, 4124, 4162, 4160, 540])).
% 3.03/3.24 tff(4173,plain,
% 3.03/3.24 (r(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[497, 21, 56, 4172])).
% 3.03/3.24 tff(4174,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4154, 82, 234, 4173, 4171])).
% 3.03/3.24 tff(4175,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, elem!1)) | (elem!1 = s(s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (elem!1 = s(s(s(z)))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4176,plain,
% 3.03/3.24 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4175, 4122, 2346, 3973, 234, 803, 1130, 1050, 2380, 1740, 486, 1122, 3980])).
% 3.03/3.24 tff(4177,plain,
% 3.03/3.24 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1011, 4176])).
% 3.03/3.24 tff(4178,plain,
% 3.03/3.24 (~b(s(s(s(z))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4092, 4177, 486, 3973, 1130, 1122, 2380])).
% 3.03/3.24 tff(4179,plain,
% 3.03/3.24 (r(s(s(s(z))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[437, 4178])).
% 3.03/3.24 tff(4180,plain,
% 3.03/3.24 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3716, 4179, 803, 1050, 1130, 2380])).
% 3.03/3.24 tff(4181,plain,
% 3.03/3.24 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[119, 4180])).
% 3.03/3.24 tff(4182,plain,
% 3.03/3.24 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2389, 4177, 2380, 1130, 3973])).
% 3.03/3.24 tff(4183,plain,
% 3.03/3.24 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[689, 4182])).
% 3.03/3.24 tff(4184,plain,
% 3.03/3.24 (b(s(s(s(z))), s(s(s(elem!1)))) <=> b(s(s(s(z))), elem!1)),
% 3.03/3.24 inference(monotonicity,[status(thm)],[2143])).
% 3.03/3.24 tff(4185,plain,
% 3.03/3.24 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 3.03/3.24 inference(symmetry,[status(thm)],[4184])).
% 3.03/3.24 tff(4186,plain,
% 3.03/3.24 (b(s(s(s(z))), s(s(s(elem!1))))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[2380, 4185])).
% 3.03/3.24 tff(4187,plain,
% 3.03/3.24 (~b(z, s(s(s(z))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4025, 4177, 1596, 1130, 4186, 4004, 3380])).
% 3.03/3.24 tff(4188,plain,
% 3.03/3.24 (r(z, s(s(s(z))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[149, 4187])).
% 3.03/3.24 tff(4189,plain,
% 3.03/3.24 (~r(z, s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[919, 4188, 4183])).
% 3.03/3.24 tff(4190,plain,
% 3.03/3.24 (b(z, s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[391, 4189])).
% 3.03/3.24 tff(4191,plain,
% 3.03/3.24 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2959, 4179, 4183])).
% 3.03/3.24 tff(4192,plain,
% 3.03/3.24 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[106, 4191])).
% 3.03/3.24 tff(4193,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3815, 4192, 4190, 1740, 486, 4181])).
% 3.03/3.24 tff(4194,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(elem!1, s(z))) | (elem!1 = s(s(s(z)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (elem!1 = s(s(z))) | (~r(z, elem!1)) | (~(s(s(s(elem!1))) = s(elem!1))) | r(elem!1, s(s(s(z)))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(elem!1), s(z))) | (s(s(s(z))) = s(s(s(elem!1)))) | r(s(s(s(z))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4195,plain,
% 3.03/3.24 (~r(s(s(s(s(z)))), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4194, 3298, 1740, 803, 3296, 3293, 3166, 3972, 3371, 3124, 3309, 3359, 2143, 3320, 3304, 3165])).
% 3.03/3.24 tff(4196,plain,
% 3.03/3.24 (b(s(s(s(s(z)))), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[127, 4195])).
% 3.03/3.24 tff(4197,plain,
% 3.03/3.24 (~b(s(s(s(s(z)))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3284, 4196, 1740, 3298, 3193, 3166, 754])).
% 3.03/3.24 tff(4198,plain,
% 3.03/3.24 (r(s(s(s(s(z)))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[119, 4197])).
% 3.03/3.24 tff(4199,plain,
% 3.03/3.24 (b(elem!1, s(s(s(z))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1160, 3359, 3296])).
% 3.03/3.24 tff(4200,plain,
% 3.03/3.24 (~b(s(s(s(z))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3576, 4196, 3166, 4199, 803, 3371, 3296, 754, 1740, 3298, 3308, 3388, 3193, 3188])).
% 3.03/3.24 tff(4201,plain,
% 3.03/3.24 (r(s(s(s(z))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[437, 4200])).
% 3.03/3.24 tff(4202,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3716, 4201, 4198, 803, 3296, 3293, 3166])).
% 3.03/3.24 tff(4203,plain,(b(z, elem!1) | (~r(elem!1, s(z))) | (~r(s(z), elem!1)) | (~b(s(z), z)) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(s(s(elem!1))), s(z))) | b(elem!1, s(z)) | b(s(s(s(elem!1))), s(s(elem!1))) | (~r(z, s(s(elem!1)))) | b(s(s(elem!1)), elem!1) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4204,plain,
% 3.03/3.24 (b(z, elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4203, 2143, 754, 1740, 803, 2588, 814, 1270, 162, 3110, 714])).
% 3.03/3.24 tff(4205,plain,
% 3.03/3.24 (b(z, s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2647, 4204, 2143])).
% 3.03/3.24 tff(4206,plain,
% 3.03/3.24 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2653, 1595, 140])).
% 3.03/3.24 tff(4207,plain,
% 3.03/3.24 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1292, 4206, 1270])).
% 3.03/3.24 tff(4208,plain,
% 3.03/3.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4209,plain,
% 3.03/3.24 (((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z)))) <=> ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4210,plain,
% 3.03/3.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z)))))),
% 3.03/3.24 inference(monotonicity,[status(thm)],[4209])).
% 3.03/3.24 tff(4211,plain,
% 3.03/3.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.24 inference(transitivity,[status(thm)],[4210, 4208])).
% 3.03/3.24 tff(4212,plain,
% 3.03/3.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(4213,plain,
% 3.03/3.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 3.03/3.24 tff(4214,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4213, 82, 1294, 721, 2588])).
% 3.03/3.24 tff(4215,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4216,plain,
% 3.03/3.24 (~r(s(s(s(elem!1))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4215, 4207, 721])).
% 3.03/3.24 tff(4217,plain,
% 3.03/3.24 (~r(s(z), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[729, 162, 721])).
% 3.03/3.24 tff(4218,plain,
% 3.03/3.24 (b(s(z), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[26, 4217])).
% 3.03/3.24 tff(4219,plain,
% 3.03/3.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4220,plain,
% 3.03/3.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(4221,plain,
% 3.03/3.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(elem!1)))))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 3.03/3.24 tff(4222,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4221, 82, 1294, 721, 1854])).
% 3.03/3.24 tff(4223,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4224,plain,
% 3.03/3.24 (~r(s(z), s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4223, 4207, 721])).
% 3.03/3.24 tff(4225,plain,
% 3.03/3.24 (b(s(z), s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1870, 4224])).
% 3.03/3.24 tff(4226,plain,
% 3.03/3.24 (~r(s(s(s(elem!1))), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1309, 4207, 162])).
% 3.03/3.24 tff(4227,plain,
% 3.03/3.24 (b(s(s(s(elem!1))), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1387, 4226])).
% 3.03/3.24 tff(4228,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1888, 4227, 4225, 4218, 1595, 4216])).
% 3.03/3.24 tff(4229,plain,((~b(z, s(s(s(elem!1))))) | (~r(s(z), s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4230,plain,
% 3.03/3.24 (~r(s(z), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4229, 4205, 1270, 140])).
% 3.03/3.24 tff(4231,plain,
% 3.03/3.24 (b(s(z), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[743, 4230])).
% 3.03/3.24 tff(4232,plain,
% 3.03/3.24 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2653, 4205, 140])).
% 3.03/3.24 tff(4233,plain,
% 3.03/3.24 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1292, 4232, 1270])).
% 3.03/3.24 tff(4234,plain,
% 3.03/3.24 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2611, 4232])).
% 3.03/3.24 tff(4235,plain,
% 3.03/3.24 (~(s(s(elem!1)) = elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2663, 4234, 2143])).
% 3.03/3.24 tff(4236,plain,
% 3.03/3.24 (~(s(elem!1) = elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[293, 4235])).
% 3.03/3.24 tff(4237,plain,
% 3.03/3.24 (r(s(elem!1), elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[312, 4236, 305])).
% 3.03/3.24 tff(4238,plain,
% 3.03/3.24 (~(s(s(elem!1)) = s(elem!1))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1343, 4232])).
% 3.03/3.24 tff(4239,plain,
% 3.03/3.24 (~(s(elem!1) = s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1786, 4238])).
% 3.03/3.24 tff(4240,plain,
% 3.03/3.24 (~r(s(s(elem!1)), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3038, 4233, 2588])).
% 3.03/3.24 tff(4241,plain,
% 3.03/3.24 (b(s(s(elem!1)), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[784, 4240])).
% 3.03/3.24 tff(4242,plain,
% 3.03/3.24 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2676, 2143, 305])).
% 3.03/3.24 tff(4243,plain,
% 3.03/3.24 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[209, 4235])).
% 3.03/3.24 tff(4244,plain,
% 3.03/3.24 (r(s(elem!1), s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1515, 4243, 4242])).
% 3.03/3.24 tff(4245,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3094, 4244, 4241, 2143, 4239, 4237, 754, 4233, 3114, 4231])).
% 3.03/3.24 tff(4246,plain,((~(s(s(s(elem!1))) = elem!1)) | (~r(s(z), elem!1)) | b(s(elem!1), elem!1) | (~r(s(s(s(elem!1))), s(z))) | b(s(s(s(elem!1))), s(s(elem!1))) | b(z, s(s(elem!1))) | (~b(s(z), z)) | (~r(elem!1, s(z))) | b(elem!1, s(z)) | (z = elem!1) | b(s(s(elem!1)), s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4247,plain,
% 3.03/3.24 (~(s(s(s(elem!1))) = elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4246, 3099, 305, 2588, 1270, 140, 2594, 2603, 814, 3106, 2581])).
% 3.03/3.24 tff(4248,plain,
% 3.03/3.24 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1287, 4247])).
% 3.03/3.24 tff(4249,plain,
% 3.03/3.24 (~(s(s(elem!1)) = s(elem!1))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1343, 4248])).
% 3.03/3.24 tff(4250,plain,
% 3.03/3.24 (~(elem!1 = s(elem!1))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[231, 4249])).
% 3.03/3.24 tff(4251,plain,
% 3.03/3.24 (~(s(elem!1) = elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1473, 4250])).
% 3.03/3.24 tff(4252,plain,
% 3.03/3.24 (r(s(elem!1), elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[312, 4251, 305])).
% 3.03/3.24 tff(4253,plain,
% 3.03/3.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4254,plain,
% 3.03/3.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(4255,plain,
% 3.03/3.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z)))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 3.03/3.24 tff(4256,plain,
% 3.03/3.24 (~r(s(elem!1), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4255, 82, 4252, 2594])).
% 3.03/3.24 tff(4257,plain,
% 3.03/3.24 (b(s(elem!1), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2070, 4256, 3107])).
% 3.03/3.24 tff(4258,plain,
% 3.03/3.24 (~(s(elem!1) = s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1786, 4249])).
% 3.03/3.24 tff(4259,plain,
% 3.03/3.24 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1292, 4248, 1270])).
% 3.03/3.24 tff(4260,plain,
% 3.03/3.24 (~r(s(s(elem!1)), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3038, 4259, 2588])).
% 3.03/3.24 tff(4261,plain,
% 3.03/3.24 (b(s(s(elem!1)), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[784, 4260])).
% 3.03/3.24 tff(4262,plain,
% 3.03/3.24 (~r(s(z), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4215, 4259, 2588])).
% 3.03/3.24 tff(4263,plain,
% 3.03/3.24 (b(s(z), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[743, 4262])).
% 3.03/3.24 tff(4264,plain,
% 3.03/3.24 (~(s(z) = s(elem!1))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1919, 3107])).
% 3.03/3.24 tff(4265,plain,
% 3.03/3.24 (~r(s(z), s(elem!1))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3061, 82, 4252, 2594])).
% 3.03/3.24 tff(4266,plain,
% 3.03/3.24 (b(s(z), s(elem!1))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3066, 4265, 4264])).
% 3.03/3.24 tff(4267,plain,
% 3.03/3.24 (~b(s(elem!1), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3092, 4266, 4263, 4261, 4257])).
% 3.03/3.24 tff(4268,plain,
% 3.03/3.24 (r(s(elem!1), s(s(elem!1)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3081, 4267, 4258])).
% 3.03/3.24 tff(4269,plain,
% 3.03/3.24 (~r(s(elem!1), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1823, 4268, 162])).
% 3.03/3.24 tff(4270,plain,
% 3.03/3.24 (b(s(elem!1), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1812, 4269])).
% 3.03/3.24 tff(4271,plain,
% 3.03/3.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4272,plain,
% 3.03/3.24 (((~r(s(s(s(elem!1))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(elem!1)))))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4273,plain,
% 3.03/3.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(s(s(elem!1))), s(z)))))),
% 3.03/3.24 inference(monotonicity,[status(thm)],[4272])).
% 3.03/3.24 tff(4274,plain,
% 3.03/3.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.24 inference(transitivity,[status(thm)],[4273, 4271])).
% 3.03/3.24 tff(4275,plain,
% 3.03/3.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(s(s(elem!1))))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(4276,plain,
% 3.03/3.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[4275, 4274])).
% 3.03/3.24 tff(4277,plain,
% 3.03/3.24 (~r(elem!1, s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4276, 82, 2588, 2603])).
% 3.03/3.24 tff(4278,plain,
% 3.03/3.24 (~(elem!1 = s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1924, 4247])).
% 3.03/3.24 tff(4279,plain,
% 3.03/3.24 (b(elem!1, s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1946, 4278, 4277])).
% 3.03/3.24 tff(4280,plain,
% 3.03/3.24 (~r(z, s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1361, 4259, 162])).
% 3.03/3.24 tff(4281,plain,
% 3.03/3.24 (b(z, s(s(s(elem!1))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1373, 4280])).
% 3.03/3.24 tff(4282,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4283,plain,
% 3.03/3.24 (((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4284,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))))),
% 3.03/3.24 inference(monotonicity,[status(thm)],[4283])).
% 3.03/3.24 tff(4285,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.03/3.24 inference(transitivity,[status(thm)],[4284, 4282])).
% 3.03/3.24 tff(4286,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(4287,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[4286, 4285])).
% 3.03/3.24 tff(4288,plain,
% 3.03/3.24 (~b(z, elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4287, 338, 4281, 4279, 4270, 3099, 4257])).
% 3.03/3.24 tff(4289,plain,
% 3.03/3.24 (r(z, elem!1)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[353, 4288, 3106])).
% 3.03/3.24 tff(4290,plain,
% 3.03/3.24 (~r(z, s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3145, 4289, 2594])).
% 3.03/3.24 tff(4291,plain,
% 3.03/3.24 (~r(z, s(elem!1))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[303, 295, 234])).
% 3.03/3.24 tff(4292,plain,
% 3.03/3.24 (b(z, s(elem!1))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1615, 4291])).
% 3.03/3.24 tff(4293,plain,
% 3.03/3.24 (~r(s(elem!1), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2764, 295, 234])).
% 3.03/3.24 tff(4294,plain,
% 3.03/3.24 (b(s(elem!1), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1812, 4293])).
% 3.03/3.24 tff(4295,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4296,plain,
% 3.03/3.24 (((~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(4297,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))))),
% 3.03/3.24 inference(monotonicity,[status(thm)],[4296])).
% 3.03/3.24 tff(4298,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 3.03/3.24 inference(transitivity,[status(thm)],[4297, 4295])).
% 3.03/3.24 tff(4299,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(4300,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 3.03/3.24 tff(4301,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4300, 338, 1597, 1796, 486, 1740, 3083])).
% 3.03/3.24 tff(4302,plain,((~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(4303,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4302, 4294, 4292, 3083, 486, 1740])).
% 3.03/3.24 tff(4304,plain,((~r(s(elem!1), elem!1)) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4305,plain,
% 3.03/3.25 (~b(z, s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4304, 4289, 4252, 3099, 4266])).
% 3.03/3.25 tff(4306,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[403, 4305, 4290])).
% 3.03/3.25 tff(4307,plain,(b(elem!1, s(z)) | b(s(elem!1), elem!1) | (~r(s(s(s(elem!1))), s(z))) | b(s(s(s(elem!1))), s(s(elem!1))) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(z), elem!1) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4308,plain,
% 3.03/3.25 (b(elem!1, s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4307, 305, 2583, 1270, 140, 2581, 1318, 2582])).
% 3.03/3.25 tff(4309,plain,
% 3.03/3.25 (b(z, elem!1)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[353, 714, 1729])).
% 3.03/3.25 tff(4310,plain,
% 3.03/3.25 (b(s(s(elem!1)), s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2694, 4309, 1270, 2582, 305, 2581, 140, 1596])).
% 3.03/3.25 tff(4311,plain,
% 3.03/3.25 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2723, 4310, 2581])).
% 3.03/3.25 tff(4312,plain,
% 3.03/3.25 (~(s(s(elem!1)) = s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[224, 4311])).
% 3.03/3.25 tff(4313,plain,
% 3.03/3.25 (~(elem!1 = s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[231, 4312])).
% 3.03/3.25 tff(4314,plain,
% 3.03/3.25 (~(s(elem!1) = elem!1)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1473, 4313])).
% 3.03/3.25 tff(4315,plain,
% 3.03/3.25 (r(s(elem!1), elem!1)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[312, 4314, 305])).
% 3.03/3.25 tff(4316,plain,
% 3.03/3.25 (~(s(elem!1) = s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1786, 4312])).
% 3.03/3.25 tff(4317,plain,
% 3.03/3.25 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1280, 4312])).
% 3.03/3.25 tff(4318,plain,
% 3.03/3.25 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1292, 4317, 1270])).
% 3.03/3.25 tff(4319,plain,
% 3.03/3.25 (~r(s(s(elem!1)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3038, 4318, 2588])).
% 3.03/3.25 tff(4320,plain,
% 3.03/3.25 (b(s(s(elem!1)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[784, 4319])).
% 3.03/3.25 tff(4321,plain,
% 3.03/3.25 (~(s(z) = s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1919, 3114])).
% 3.03/3.25 tff(4322,plain,
% 3.03/3.25 (b(s(z), s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3066, 4321, 3063])).
% 3.03/3.25 tff(4323,plain,
% 3.03/3.25 (~(elem!1 = s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1418, 4311])).
% 3.03/3.25 tff(4324,plain,
% 3.03/3.25 (b(s(elem!1), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2070, 3114, 2064])).
% 3.03/3.25 tff(4325,plain,
% 3.03/3.25 (~b(s(elem!1), s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3092, 4322, 747, 764, 4324])).
% 3.03/3.25 tff(4326,plain,
% 3.03/3.25 (r(s(elem!1), s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3081, 4325, 1788])).
% 3.03/3.25 tff(4327,plain,
% 3.03/3.25 (~r(elem!1, s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3077, 4326, 295])).
% 3.03/3.25 tff(4328,plain,
% 3.03/3.25 (b(elem!1, s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[321, 4327, 4323])).
% 3.03/3.25 tff(4329,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(4330,plain,
% 3.03/3.25 (((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(4331,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4330])).
% 3.03/3.25 tff(4332,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4331, 4329])).
% 3.03/3.25 tff(4333,plain,
% 3.03/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))))),
% 3.03/3.25 inference(quant_inst,[status(thm)],[])).
% 3.03/3.25 tff(4334,plain,
% 3.03/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 3.03/3.25 tff(4335,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4334, 338, 4328, 4310, 747, 831, 764, 4322])).
% 3.03/3.25 tff(4336,plain,((z = elem!1) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~r(s(elem!1), elem!1)) | (s(elem!1) = s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | r(s(z), s(elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(s(elem!1), elem!1) | b(z, s(s(elem!1))) | (~b(s(s(s(elem!1))), z)) | r(s(elem!1), s(z)) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4337,plain,
% 3.03/3.25 (r(s(z), s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4336, 4320, 831, 747, 714, 4316, 2581, 4315, 1270, 2582, 305, 140, 1596, 2064, 1729])).
% 3.03/3.25 tff(4338,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3061, 82, 4315, 754, 4337])).
% 3.03/3.25 tff(4339,plain,((z = elem!1) | (~r(s(z), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(s(elem!1), elem!1) | b(z, s(s(elem!1))) | (~b(s(s(s(elem!1))), z)) | r(s(elem!1), s(z)) | r(z, elem!1) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4340,plain,
% 3.03/3.25 (r(s(elem!1), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4339, 714, 831, 747, 2581, 1270, 2582, 305, 140, 1596, 754, 1729, 2588])).
% 3.03/3.25 tff(4341,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4255, 82, 4315, 754, 4340])).
% 3.03/3.25 tff(4342,plain,((z = elem!1) | (~r(s(z), elem!1)) | b(s(elem!1), elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(z, s(s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | r(z, elem!1) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4343,plain,
% 3.03/3.25 (z = elem!1),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4342, 2601, 305, 2581, 1270, 2582, 140, 754, 831, 1196, 2604, 2588])).
% 3.03/3.25 tff(4344,plain,
% 3.03/3.25 (s(z) = s(elem!1)),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4343])).
% 3.03/3.25 tff(4345,plain,
% 3.03/3.25 (s(s(z)) = s(s(elem!1))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4344])).
% 3.03/3.25 tff(4346,plain,
% 3.03/3.25 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4345])).
% 3.03/3.25 tff(4347,plain,
% 3.03/3.25 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4346])).
% 3.03/3.25 tff(4348,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4347])).
% 3.03/3.25 tff(4349,plain,
% 3.03/3.25 (b(s(s(z)), s(z)) <=> b(s(s(elem!1)), s(elem!1))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4345, 4344])).
% 3.03/3.25 tff(4350,plain,
% 3.03/3.25 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(z)), s(z))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4349])).
% 3.03/3.25 tff(4351,plain,
% 3.03/3.25 ((s(z) = s(s(elem!1))) <=> (s(elem!1) = s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4344])).
% 3.03/3.25 tff(4352,plain,
% 3.03/3.25 ((s(z) = s(s(elem!1))) <=> (s(s(elem!1)) = s(elem!1))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4351, 2702])).
% 3.03/3.25 tff(4353,plain,
% 3.03/3.25 ((~(s(z) = s(s(elem!1)))) <=> (~(s(s(elem!1)) = s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4352])).
% 3.03/3.25 tff(4354,plain,
% 3.03/3.25 (~(s(s(elem!1)) = s(elem!1))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[738, 4353])).
% 3.03/3.25 tff(4355,plain,
% 3.03/3.25 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4344])).
% 3.03/3.25 tff(4356,plain,
% 3.03/3.25 (r(s(s(s(elem!1))), s(elem!1))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[2588, 4355])).
% 3.03/3.25 tff(4357,plain,
% 3.03/3.25 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4346])).
% 3.03/3.25 tff(4358,plain,
% 3.03/3.25 ((s(s(s(elem!1))) = s(s(elem!1))) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4357])).
% 3.03/3.25 tff(4359,plain,
% 3.03/3.25 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4358])).
% 3.03/3.25 tff(4360,plain,
% 3.03/3.25 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(elem!1))) = s(s(elem!1))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4359])).
% 3.03/3.25 tff(4361,plain,
% 3.03/3.25 ((s(s(elem!1)) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.03/3.25 inference(commutativity,[status(thm)],[])).
% 3.03/3.25 tff(4362,plain,
% 3.03/3.25 ((s(s(z)) = s(s(s(z)))) <=> (s(s(elem!1)) = s(s(s(z))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4345])).
% 3.03/3.25 tff(4363,plain,
% 3.03/3.25 ((s(s(z)) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4362, 4361])).
% 3.03/3.25 tff(4364,plain,
% 3.03/3.25 ((~(s(s(z)) = s(s(s(z))))) <=> (~(s(s(s(z))) = s(s(elem!1))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4363])).
% 3.03/3.25 tff(4365,plain,
% 3.03/3.25 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[529, 4364])).
% 3.03/3.25 tff(4366,plain,
% 3.03/3.25 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4365, 4360])).
% 3.03/3.25 tff(4367,plain,
% 3.03/3.25 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1292, 4366, 1270])).
% 3.03/3.25 tff(4368,plain,
% 3.03/3.25 (~r(s(s(elem!1)), s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2048, 4367, 4356])).
% 3.03/3.25 tff(4369,plain,
% 3.03/3.25 (b(s(s(elem!1)), s(elem!1))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[277, 4368, 4354])).
% 3.03/3.25 tff(4370,plain,
% 3.03/3.25 (b(s(s(z)), s(z))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4369, 4350])).
% 3.03/3.25 tff(4371,plain,
% 3.03/3.25 (b(s(z), s(s(z))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4344, 4345])).
% 3.03/3.25 tff(4372,plain,
% 3.03/3.25 (b(s(elem!1), s(s(elem!1))) <=> b(s(z), s(s(z)))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4371])).
% 3.03/3.25 tff(4373,plain,
% 3.03/3.25 (b(s(z), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4344])).
% 3.03/3.25 tff(4374,plain,
% 3.03/3.25 (b(s(elem!1), s(s(elem!1)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[1196, 4373])).
% 3.03/3.25 tff(4375,plain,
% 3.03/3.25 (b(s(z), s(s(z)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4374, 4372])).
% 3.03/3.25 tff(4376,plain,
% 3.03/3.25 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2823])).
% 3.03/3.25 tff(4377,plain,
% 3.03/3.25 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4376])).
% 3.03/3.25 tff(4378,plain,
% 3.03/3.25 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4377, 1493])).
% 3.03/3.25 tff(4379,plain,
% 3.03/3.25 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(s(s(elem!1)))) = s(s(elem!1))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4378])).
% 3.03/3.25 tff(4380,plain,
% 3.03/3.25 ((s(s(s(s(z)))) = s(s(elem!1))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.03/3.25 inference(commutativity,[status(thm)],[])).
% 3.03/3.25 tff(4381,plain,
% 3.03/3.25 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2807])).
% 3.03/3.25 tff(4382,plain,
% 3.03/3.25 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4381, 4380])).
% 3.03/3.25 tff(4383,plain,
% 3.03/3.25 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(s(s(z))))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4382])).
% 3.03/3.25 tff(4384,plain,
% 3.03/3.25 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[60, 4383])).
% 3.03/3.25 tff(4385,plain,
% 3.03/3.25 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4384, 4379])).
% 3.03/3.25 tff(4386,assumption,(~b(s(s(s(s(z)))), elem!1)), introduced(assumption)).
% 3.03/3.25 tff(4387,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), z)),
% 3.03/3.25 inference(symmetry,[status(thm)],[2852])).
% 3.03/3.25 tff(4388,plain,
% 3.03/3.25 ((~b(s(s(s(s(z)))), elem!1)) <=> (~b(s(s(s(s(z)))), z))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4387])).
% 3.03/3.25 tff(4389,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), z)),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4386, 4388])).
% 3.03/3.25 tff(4390,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[175, 4389])).
% 3.03/3.25 tff(4391,plain,((~(z = elem!1)) | (~b(s(s(s(s(z)))), z)) | b(s(s(s(s(z)))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4392,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4391, 4386, 703])).
% 3.03/3.25 tff(4393,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[127, 4392])).
% 3.03/3.25 tff(4394,plain,
% 3.03/3.25 (r(s(s(s(s(elem!1)))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2848, 4393, 703])).
% 3.03/3.25 tff(4395,plain,
% 3.03/3.25 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1662, 4394, 165])).
% 3.03/3.25 tff(4396,plain,
% 3.03/3.25 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1651, 4395, 4385])).
% 3.03/3.25 tff(4397,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4396, 2825])).
% 3.03/3.25 tff(4398,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), elem!1)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1144, 4386, 2819])).
% 3.03/3.25 tff(4399,plain,
% 3.03/3.25 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3417, 4398, 754])).
% 3.03/3.25 tff(4400,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[119, 4399])).
% 3.03/3.25 tff(4401,plain,
% 3.03/3.25 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2949, 4398, 754])).
% 3.03/3.25 tff(4402,plain,
% 3.03/3.25 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[106, 4401])).
% 3.03/3.25 tff(4403,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2919, 4402, 474, 475, 4400])).
% 3.03/3.25 tff(4404,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4403, 4397])).
% 3.03/3.25 tff(4405,plain,(b(s(s(s(s(z)))), elem!1) | (~(z = elem!1)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(z, s(s(elem!1)))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4406,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), elem!1)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4405, 4343, 4375, 4370, 162, 754])).
% 3.03/3.25 tff(4407,plain,
% 3.03/3.25 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4406, 4348])).
% 3.03/3.25 tff(4408,plain,
% 3.03/3.25 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4347])).
% 3.03/3.25 tff(4409,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4408])).
% 3.03/3.25 tff(4410,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4409])).
% 3.03/3.25 tff(4411,plain,
% 3.03/3.25 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4346])).
% 3.03/3.25 tff(4412,plain,
% 3.03/3.25 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4411, 4410])).
% 3.03/3.25 tff(4413,plain,
% 3.03/3.25 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4346, 4344])).
% 3.03/3.25 tff(4414,plain,
% 3.03/3.25 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(z))), s(z))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4413])).
% 3.03/3.25 tff(4415,plain,
% 3.03/3.25 (r(s(s(s(z))), s(z))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4356, 4414])).
% 3.03/3.25 tff(4416,plain,
% 3.03/3.25 (b(s(s(z)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4345])).
% 3.03/3.25 tff(4417,plain,
% 3.03/3.25 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(z)), s(s(s(z))))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4416])).
% 3.03/3.25 tff(4418,plain,
% 3.03/3.25 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4357])).
% 3.03/3.25 tff(4419,plain,
% 3.03/3.25 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(z)), s(s(s(z))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4418, 4417])).
% 3.03/3.25 tff(4420,plain,
% 3.03/3.25 ((~b(s(s(elem!1)), s(s(s(elem!1))))) <=> (~b(s(s(z)), s(s(s(z)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4419])).
% 3.03/3.25 tff(4421,plain,
% 3.03/3.25 (~b(s(s(z)), s(s(s(z))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[2581, 4420])).
% 3.03/3.25 tff(4422,plain,
% 3.03/3.25 (r(s(s(z)), s(s(s(z))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[534, 4421])).
% 3.03/3.25 tff(4423,plain,
% 3.03/3.25 ((s(s(s(elem!1))) = z) <=> (s(s(s(elem!1))) = elem!1)),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4343])).
% 3.03/3.25 tff(4424,plain,
% 3.03/3.25 ((s(s(s(elem!1))) = z) <=> (elem!1 = s(s(s(elem!1))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4423, 3376])).
% 3.03/3.25 tff(4425,plain,
% 3.03/3.25 ((~(s(s(s(elem!1))) = z)) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4424])).
% 3.03/3.25 tff(4426,plain,
% 3.03/3.25 (~(elem!1 = s(s(s(elem!1))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[1367, 4425])).
% 3.03/3.25 tff(4427,plain,
% 3.03/3.25 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4343])).
% 3.03/3.25 tff(4428,plain,
% 3.03/3.25 (r(elem!1, s(s(elem!1)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[162, 4427])).
% 3.03/3.25 tff(4429,plain,
% 3.03/3.25 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(4430,plain,
% 3.03/3.25 (((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1)))))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(4431,plain,
% 3.03/3.25 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1))))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4430])).
% 3.03/3.25 tff(4432,plain,
% 3.03/3.25 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4431, 4429])).
% 3.03/3.25 tff(4433,plain,
% 3.03/3.25 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))))),
% 3.03/3.25 inference(quant_inst,[status(thm)],[])).
% 3.03/3.25 tff(4434,plain,
% 3.03/3.25 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 3.03/3.25 tff(4435,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4434, 82, 1950, 279, 1294])).
% 3.03/3.25 tff(4436,plain,((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4437,plain,
% 3.03/3.25 (~r(elem!1, s(s(s(elem!1))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4436, 4367, 4428])).
% 3.03/3.25 tff(4438,plain,
% 3.03/3.25 (b(elem!1, s(s(s(elem!1))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1946, 4437, 4426])).
% 3.03/3.25 tff(4439,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), z) <=> b(s(s(s(elem!1))), elem!1)),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4343])).
% 3.03/3.25 tff(4440,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), elem!1)),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[2601, 4439])).
% 3.03/3.25 tff(4441,plain,
% 3.03/3.25 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2823])).
% 3.03/3.25 tff(4442,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4441])).
% 3.03/3.25 tff(4443,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2807])).
% 3.03/3.25 tff(4444,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4443, 4442])).
% 3.03/3.25 tff(4445,plain,
% 3.03/3.25 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[71, 4444])).
% 3.03/3.25 tff(4446,plain,
% 3.03/3.25 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1457, 71, 487])).
% 3.03/3.25 tff(4447,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1011, 4446])).
% 3.03/3.25 tff(4448,plain,
% 3.03/3.25 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4447, 2829])).
% 3.03/3.25 tff(4449,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2866, 4448, 4445, 2636, 1929, 703, 165])).
% 3.03/3.25 tff(4450,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~(z = elem!1)) | (~r(z, s(s(elem!1)))) | (~r(s(s(z)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4451,plain,
% 3.03/3.25 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4450, 4440, 4438, 4343, 162, 4422])).
% 3.03/3.25 tff(4452,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[68, 4451])).
% 3.03/3.25 tff(4453,plain,
% 3.03/3.25 (s(elem!1) = s(z)),
% 3.03/3.25 inference(symmetry,[status(thm)],[2806])).
% 3.03/3.25 tff(4454,plain,
% 3.03/3.25 (b(s(s(s(s(elem!1)))), s(elem!1)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4453])).
% 3.03/3.25 tff(4455,plain,
% 3.03/3.25 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4454])).
% 3.03/3.25 tff(4456,plain,
% 3.03/3.25 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2823, 2806])).
% 3.03/3.25 tff(4457,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4456])).
% 3.03/3.25 tff(4458,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2806])).
% 3.03/3.25 tff(4459,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4458, 4457, 4455])).
% 3.03/3.25 tff(4460,plain,
% 3.03/3.25 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[2911, 4459])).
% 3.03/3.25 tff(4461,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2823])).
% 3.03/3.25 tff(4462,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4461])).
% 3.03/3.25 tff(4463,plain,
% 3.03/3.25 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2808])).
% 3.03/3.25 tff(4464,plain,
% 3.03/3.25 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4463, 4462])).
% 3.03/3.25 tff(4465,plain,
% 3.03/3.25 (b(s(s(z)), s(z)) <=> b(s(s(elem!1)), s(elem!1))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[2807, 2806])).
% 3.03/3.25 tff(4466,plain,
% 3.03/3.25 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(z)), s(z))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4465])).
% 3.03/3.25 tff(4467,plain,
% 3.03/3.25 (b(s(s(z)), s(z))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[316, 4466])).
% 3.03/3.25 tff(4468,plain,
% 3.03/3.25 (~b(s(z), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2919, 2911, 474, 4467, 540])).
% 3.03/3.25 tff(4469,plain,
% 3.03/3.25 (r(s(z), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[106, 4468])).
% 3.03/3.25 tff(4470,plain,
% 3.03/3.25 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2959, 4469, 427])).
% 3.03/3.25 tff(4471,plain,
% 3.03/3.25 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[689, 4470])).
% 3.03/3.25 tff(4472,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4471, 4464])).
% 3.03/3.25 tff(4473,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.25 inference(symmetry,[status(thm)],[2824])).
% 3.03/3.25 tff(4474,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.25 inference(transitivity,[status(thm)],[2820, 4473])).
% 3.03/3.25 tff(4475,plain,
% 3.03/3.25 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[540, 4474])).
% 3.03/3.25 tff(4476,plain,
% 3.03/3.25 (elem!1 = z),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2752, 703])).
% 3.03/3.25 tff(4477,plain,
% 3.03/3.25 (~r(z, s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[552, 4469, 405])).
% 3.03/3.25 tff(4478,plain,
% 3.03/3.25 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3004, 4477, 4476])).
% 3.03/3.25 tff(4479,plain,
% 3.03/3.25 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2297, 4478, 2835])).
% 3.03/3.25 tff(4480,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(4481,plain,
% 3.03/3.25 (((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(4482,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4481])).
% 3.03/3.25 tff(4483,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4482, 4480])).
% 3.03/3.25 tff(4484,plain,
% 3.03/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.03/3.25 inference(quant_inst,[status(thm)],[])).
% 3.03/3.25 tff(4485,plain,
% 3.03/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 3.03/3.25 tff(4486,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4485, 338, 4479, 2636, 316, 4475, 4472, 4460])).
% 3.03/3.25 tff(4487,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~(z = elem!1)) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(4488,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4487, 4440, 4369, 4343, 4415, 405, 4375, 4452])).
% 3.03/3.25 tff(4489,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[119, 4488])).
% 3.03/3.25 tff(4490,plain,
% 3.03/3.25 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3708, 4489, 4415])).
% 3.03/3.25 tff(4491,plain,
% 3.03/3.25 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[689, 4490])).
% 3.03/3.25 tff(4492,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4491, 4412])).
% 3.03/3.25 tff(4493,plain,
% 3.03/3.25 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4344])).
% 3.03/3.25 tff(4494,plain,
% 3.03/3.25 (b(elem!1, s(elem!1))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[831, 4493])).
% 3.03/3.25 tff(4495,plain,
% 3.03/3.25 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(elem!1))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4344])).
% 3.03/3.25 tff(4496,plain,
% 3.03/3.25 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(elem!1))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4495, 211])).
% 3.03/3.25 tff(4497,plain,
% 3.03/3.25 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(elem!1))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[4496, 212])).
% 3.03/3.25 tff(4498,plain,
% 3.03/3.25 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(elem!1)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4497])).
% 3.03/3.25 tff(4499,plain,
% 3.03/3.25 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[1263, 4498])).
% 3.03/3.25 tff(4500,plain,
% 3.03/3.25 (elem!1 = z),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2752, 4343])).
% 3.03/3.25 tff(4501,plain,
% 3.03/3.25 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[4346])).
% 3.03/3.25 tff(4502,plain,
% 3.03/3.25 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(z))))),
% 3.03/3.25 inference(symmetry,[status(thm)],[4501])).
% 3.03/3.25 tff(4503,plain,
% 3.03/3.25 (b(elem!1, s(s(s(z))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4438, 4502])).
% 3.03/3.25 tff(4504,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), z) <=> b(s(s(s(elem!1))), elem!1)),
% 3.03/3.25 inference(monotonicity,[status(thm)],[703])).
% 3.03/3.25 tff(4505,plain,
% 3.03/3.25 (b(s(s(s(elem!1))), elem!1)),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[1596, 4504])).
% 3.03/3.25 tff(4506,plain,
% 3.03/3.25 (b(s(s(s(z))), elem!1)),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[4505, 2813])).
% 3.03/3.25 tff(4507,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1105, 4506])).
% 3.03/3.25 tff(4508,plain,((~(z = elem!1)) | b(s(s(s(z))), elem!1) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4509,plain,
% 3.03/3.26 (b(s(s(s(z))), elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4508, 4343, 2601])).
% 3.03/3.26 tff(4510,plain,
% 3.03/3.26 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2389, 4491, 4509, 4406, 4503])).
% 3.03/3.26 tff(4511,plain,
% 3.03/3.26 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1011, 4510])).
% 3.03/3.26 tff(4512,plain,
% 3.03/3.26 (~r(s(z), s(s(s(z))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[3437, 4511, 4489])).
% 3.03/3.26 tff(4513,plain,
% 3.03/3.26 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.03/3.26 inference(symmetry,[status(thm)],[2997])).
% 3.03/3.26 tff(4514,plain,
% 3.03/3.26 (s(z) = s(elem!1)),
% 3.03/3.26 inference(symmetry,[status(thm)],[2995])).
% 3.03/3.26 tff(4515,plain,
% 3.03/3.26 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4514, 4513])).
% 3.03/3.26 tff(4516,plain,
% 3.03/3.26 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(z), s(s(s(z))))),
% 3.03/3.26 inference(symmetry,[status(thm)],[4515])).
% 3.03/3.26 tff(4517,plain,
% 3.03/3.26 (r(s(z), s(s(s(z))))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[1502, 4516])).
% 3.03/3.26 tff(4518,assumption,(~r(s(z), s(s(s(z))))), introduced(assumption)).
% 3.03/3.26 tff(4519,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4518, 4517])).
% 3.03/3.26 tff(4520,plain,(r(s(z), s(s(s(z)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4521,plain,
% 3.03/3.26 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4520, 4512, 4500])).
% 3.03/3.26 tff(4522,plain,
% 3.03/3.26 (b(s(elem!1), s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1515, 4521, 4499])).
% 3.03/3.26 tff(4523,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4524,plain,
% 3.03/3.26 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4525,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4524])).
% 3.03/3.26 tff(4526,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.03/3.26 inference(transitivity,[status(thm)],[4525, 4523])).
% 3.03/3.26 tff(4527,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(4528,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[4527, 4526])).
% 3.03/3.26 tff(4529,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4528, 338, 4438, 4440, 4522, 4494, 4492, 4407])).
% 3.03/3.26 tff(4530,plain,((~r(s(z), z)) | (~r(s(z), elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | (~b(elem!1, s(z))) | (~r(s(s(s(elem!1))), s(z))) | b(s(elem!1), elem!1) | r(s(s(s(elem!1))), elem!1) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4531,plain,
% 3.03/3.26 (~r(s(z), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4530, 4308, 1270, 2581, 2592, 2583, 305, 2582, 140])).
% 3.03/3.26 tff(4532,plain,
% 3.03/3.26 (b(s(z), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[26, 4531])).
% 3.03/3.26 tff(4533,plain,
% 3.03/3.26 (~(elem!1 = z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[3104, 4532, 1318])).
% 3.03/3.26 tff(4534,plain,
% 3.03/3.26 (~(z = elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2752, 4533])).
% 3.03/3.26 tff(4535,plain,
% 3.03/3.26 (~(s(elem!1) = s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1912, 4534])).
% 3.03/3.26 tff(4536,plain,
% 3.03/3.26 (b(z, elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[353, 1729, 714])).
% 3.03/3.26 tff(4537,plain,
% 3.03/3.26 (s(s(s(elem!1))) = elem!1),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1287, 1272])).
% 3.03/3.26 tff(4538,plain,
% 3.03/3.26 (~b(z, s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2653, 1272, 140])).
% 3.03/3.26 tff(4539,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2647, 4538, 4537, 1021])).
% 3.03/3.26 tff(4540,plain,((~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(z, elem!1)) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4541,plain,
% 3.03/3.26 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4540, 4536, 140])).
% 3.03/3.26 tff(4542,plain,
% 3.03/3.26 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1292, 4541, 1270])).
% 3.03/3.26 tff(4543,plain,
% 3.03/3.26 (~r(s(s(s(elem!1))), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1309, 4542, 162])).
% 3.03/3.26 tff(4544,plain,
% 3.03/3.26 (b(s(s(s(elem!1))), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1387, 4543])).
% 3.03/3.26 tff(4545,plain,
% 3.03/3.26 (~r(s(z), s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4215, 4542, 2588])).
% 3.03/3.26 tff(4546,plain,
% 3.03/3.26 (b(s(z), s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[743, 4545])).
% 3.03/3.26 tff(4547,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4342, 4546, 4544, 305, 2581, 1270, 2582, 140, 754, 831, 714, 1729, 2588])).
% 3.03/3.26 tff(4548,plain,(r(z, elem!1) | b(s(elem!1), elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(z, s(s(elem!1))) | (~r(s(z), elem!1)) | (~b(elem!1, s(z))) | (z = elem!1) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4549,plain,
% 3.03/3.26 (r(z, elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4548, 305, 2581, 1270, 2582, 140, 2592, 4308, 4534, 2583])).
% 3.03/3.26 tff(4550,plain,
% 3.03/3.26 (r(z, s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[403, 398])).
% 3.03/3.26 tff(4551,plain,
% 3.03/3.26 (~r(z, elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[3145, 4550, 754])).
% 3.03/3.26 tff(4552,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4553,plain,
% 3.03/3.26 (((~r(s(s(s(elem!1))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(elem!1)))))) <=> ((~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4554,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z)))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4553])).
% 3.03/3.26 tff(4555,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.26 inference(transitivity,[status(thm)],[4554, 4552])).
% 3.03/3.26 tff(4556,plain,
% 3.03/3.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(elem!1))))))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(4557,plain,
% 3.03/3.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 3.03/3.26 tff(4558,plain,
% 3.03/3.26 (~r(z, s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4557, 82, 2588, 4550])).
% 3.03/3.26 tff(4559,plain,
% 3.03/3.26 (b(z, s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1373, 4558])).
% 3.03/3.26 tff(4560,plain,
% 3.03/3.26 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2653, 4559, 140])).
% 3.03/3.26 tff(4561,plain,
% 3.03/3.26 (~(s(s(elem!1)) = s(elem!1))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1343, 4560])).
% 3.03/3.26 tff(4562,plain,
% 3.03/3.26 (~(elem!1 = s(elem!1))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[231, 4561])).
% 3.03/3.26 tff(4563,plain,
% 3.03/3.26 (~(s(elem!1) = elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1473, 4562])).
% 3.03/3.26 tff(4564,plain,
% 3.03/3.26 (r(s(elem!1), elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[312, 4563, 305])).
% 3.03/3.26 tff(4565,plain,
% 3.03/3.26 (~r(s(elem!1), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4255, 82, 4564, 754])).
% 3.03/3.26 tff(4566,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4567,plain,
% 3.03/3.26 (((~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), z))) <=> ((~r(s(s(s(elem!1))), z)) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4568,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z)))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4567])).
% 3.03/3.26 tff(4569,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.03/3.26 inference(transitivity,[status(thm)],[4568, 4566])).
% 3.03/3.26 tff(4570,plain,
% 3.03/3.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), z)))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(4571,plain,
% 3.03/3.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 3.03/3.26 tff(4572,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4571, 82, 1301, 2588, 1731])).
% 3.03/3.26 tff(4573,plain,((~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4574,plain,
% 3.03/3.26 (~r(s(s(s(elem!1))), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4573, 4550, 2588])).
% 3.03/3.26 tff(4575,plain,
% 3.03/3.26 (b(s(s(s(elem!1))), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1387, 4574])).
% 3.03/3.26 tff(4576,plain,
% 3.03/3.26 (~r(s(z), s(elem!1))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[3061, 82, 4564, 754])).
% 3.03/3.26 tff(4577,plain,
% 3.03/3.26 (~(s(elem!1) = s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1786, 4561])).
% 3.03/3.26 tff(4578,plain,
% 3.03/3.26 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1292, 4560, 1270])).
% 3.03/3.26 tff(4579,plain,
% 3.03/3.26 (~r(s(s(elem!1)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[3038, 4578, 2588])).
% 3.03/3.26 tff(4580,plain,
% 3.03/3.26 (b(s(s(elem!1)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[784, 4579])).
% 3.03/3.26 tff(4581,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4582,plain,
% 3.03/3.26 (((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z)))) <=> ((~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4583,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1))))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4582])).
% 3.03/3.26 tff(4584,plain,
% 3.03/3.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.03/3.26 inference(transitivity,[status(thm)],[4583, 4581])).
% 3.03/3.26 tff(4585,plain,
% 3.03/3.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(4586,plain,
% 3.03/3.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1))))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 3.03/3.26 tff(4587,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4586, 82, 165, 721, 1731])).
% 3.03/3.26 tff(4588,plain,((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4589,plain,
% 3.03/3.26 (~r(s(z), s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4588, 4550, 162])).
% 3.03/3.26 tff(4590,plain,
% 3.03/3.26 (b(s(z), s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[743, 4589])).
% 3.03/3.26 tff(4591,plain,
% 3.03/3.26 (z = elem!1),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4336, 4590, 831, 4580, 4564, 4577, 2581, 4576, 1270, 2582, 305, 140, 4575, 4565, 4551])).
% 3.03/3.26 tff(4592,plain,
% 3.03/3.26 (b(z, s(z)) <=> b(elem!1, s(z))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4591])).
% 3.03/3.26 tff(4593,plain,
% 3.03/3.26 (b(elem!1, s(z)) <=> b(z, s(z))),
% 3.03/3.26 inference(symmetry,[status(thm)],[4592])).
% 3.03/3.26 tff(4594,plain,
% 3.03/3.26 (b(z, s(z))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[831, 4593])).
% 3.03/3.26 tff(4595,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[398, 4594])).
% 3.03/3.26 tff(4596,plain,(b(z, s(z)) | (~b(elem!1, s(z))) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(s(elem!1), elem!1) | b(z, s(s(elem!1))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4597,plain,
% 3.03/3.26 (b(z, s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4596, 4308, 2581, 1270, 2582, 305, 140, 2592, 2583])).
% 3.03/3.26 tff(4598,plain,
% 3.03/3.26 (elem!1 = s(s(s(elem!1)))),
% 3.03/3.26 inference(symmetry,[status(thm)],[4537])).
% 3.03/3.26 tff(4599,plain,
% 3.03/3.26 (elem!1 = s(s(elem!1))),
% 3.03/3.26 inference(transitivity,[status(thm)],[4598, 1272])).
% 3.03/3.26 tff(4600,plain,
% 3.03/3.26 (b(elem!1, s(z)) <=> b(s(s(elem!1)), s(z))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4599])).
% 3.03/3.26 tff(4601,plain,
% 3.03/3.26 (b(s(s(elem!1)), s(z)) <=> b(elem!1, s(z))),
% 3.03/3.26 inference(symmetry,[status(thm)],[4600])).
% 3.03/3.26 tff(4602,plain,
% 3.03/3.26 ((~b(s(s(elem!1)), s(z))) <=> (~b(elem!1, s(z)))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4601])).
% 3.03/3.26 tff(4603,plain,
% 3.03/3.26 (b(s(s(s(elem!1))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[1272])).
% 3.03/3.26 tff(4604,plain,
% 3.03/3.26 ((~b(s(s(s(elem!1))), s(z))) <=> (~b(s(s(elem!1)), s(z)))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4603])).
% 3.03/3.26 tff(4605,plain,
% 3.03/3.26 (~b(s(s(elem!1)), s(z))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[1988, 4604])).
% 3.03/3.26 tff(4606,plain,
% 3.03/3.26 (~b(elem!1, s(z))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[4605, 4602])).
% 3.03/3.26 tff(4607,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[831, 4606])).
% 3.03/3.26 tff(4608,plain,((~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(elem!1, s(z))) | b(s(s(s(elem!1))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4609,plain,
% 3.03/3.26 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4608, 4308, 1988])).
% 3.03/3.26 tff(4610,plain,
% 3.03/3.26 (~(s(s(elem!1)) = s(elem!1))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1343, 4609])).
% 3.03/3.26 tff(4611,plain,
% 3.03/3.26 (~(elem!1 = s(elem!1))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[231, 4610])).
% 3.03/3.26 tff(4612,plain,
% 3.03/3.26 (~(s(elem!1) = elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1473, 4611])).
% 3.03/3.26 tff(4613,plain,
% 3.03/3.26 (r(s(elem!1), elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[312, 4612, 305])).
% 3.03/3.26 tff(4614,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4615,plain,
% 3.03/3.26 (((~b(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z)))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4616,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4615])).
% 3.03/3.26 tff(4617,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.03/3.26 inference(transitivity,[status(thm)],[4616, 4614])).
% 3.03/3.26 tff(4618,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(4619,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 3.03/3.26 tff(4620,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4619, 338, 1597, 1796, 486, 1740, 3084])).
% 3.03/3.26 tff(4621,plain,((~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4622,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4621, 4294, 4292, 486, 1740, 3084])).
% 3.03/3.26 tff(4623,plain,((~r(s(elem!1), elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4624,plain,
% 3.03/3.26 (~b(s(elem!1), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4623, 4613, 4597, 4532, 4549])).
% 3.03/3.26 tff(4625,plain,
% 3.03/3.26 (r(s(elem!1), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2070, 4624, 4535])).
% 3.03/3.26 tff(4626,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4255, 82, 4613, 2592, 4625])).
% 3.03/3.26 tff(4627,plain,(b(s(elem!1), elem!1) | b(s(s(s(elem!1))), s(z)) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(z, s(s(elem!1))) | b(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(4628,plain,
% 3.03/3.26 (b(s(elem!1), elem!1)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4627, 1988, 2581, 1270, 2582, 140, 1318])).
% 3.03/3.26 tff(4629,plain,
% 3.03/3.26 (~r(z, s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1361, 4542, 162])).
% 3.03/3.26 tff(4630,plain,
% 3.03/3.26 (b(z, s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1373, 4629])).
% 3.03/3.26 tff(4631,plain,
% 3.03/3.26 (~(s(s(elem!1)) = s(elem!1))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1343, 4541])).
% 3.03/3.26 tff(4632,plain,
% 3.03/3.26 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2611, 4541])).
% 3.03/3.26 tff(4633,plain,
% 3.03/3.26 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2619, 4632, 2581])).
% 3.03/3.26 tff(4634,plain,
% 3.03/3.26 (~r(elem!1, s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4276, 82, 2588, 803])).
% 3.03/3.26 tff(4635,plain,
% 3.03/3.26 (b(elem!1, s(s(s(elem!1))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1946, 1925, 1941])).
% 3.03/3.26 tff(4636,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4637,plain,
% 3.03/3.26 (((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(4638,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[4637])).
% 3.03/3.26 tff(4639,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 3.03/3.26 inference(transitivity,[status(thm)],[4638, 4636])).
% 3.03/3.26 tff(4640,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(4641,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[4640, 4639])).
% 3.03/3.26 tff(4642,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[4641, 338, 1021, 1595, 1596, 4635, 2631])).
% 3.03/3.26 tff(4643,plain,((s(s(s(elem!1))) = elem!1) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | r(elem!1, s(s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4644,plain,
% 3.03/3.27 (s(s(s(elem!1))) = elem!1),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4643, 4634, 1374, 1388, 1021, 2582])).
% 3.03/3.27 tff(4645,plain,
% 3.03/3.27 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4644])).
% 3.03/3.27 tff(4646,plain,
% 3.03/3.27 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4645])).
% 3.03/3.27 tff(4647,plain,
% 3.03/3.27 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4646])).
% 3.03/3.27 tff(4648,plain,
% 3.03/3.27 (s(s(s(s(s(s(elem!1)))))) = elem!1),
% 3.03/3.27 inference(transitivity,[status(thm)],[4647, 4644])).
% 3.03/3.27 tff(4649,plain,
% 3.03/3.27 (s(s(s(s(s(s(s(elem!1))))))) = s(elem!1)),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4648])).
% 3.03/3.27 tff(4650,plain,
% 3.03/3.27 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4649])).
% 3.03/3.27 tff(4651,plain,
% 3.03/3.27 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[4650, 3630])).
% 3.03/3.27 tff(4652,plain,
% 3.03/3.27 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4651])).
% 3.03/3.27 tff(4653,plain,
% 3.03/3.27 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[3645, 4652])).
% 3.03/3.27 tff(4654,plain,
% 3.03/3.27 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4644])).
% 3.03/3.27 tff(4655,plain,
% 3.03/3.27 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 3.03/3.27 inference(transitivity,[status(thm)],[4654, 1051])).
% 3.03/3.27 tff(4656,plain,
% 3.03/3.27 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[4655, 1052])).
% 3.03/3.27 tff(4657,plain,
% 3.03/3.27 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4656])).
% 3.03/3.27 tff(4658,plain,
% 3.03/3.27 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3121, 1917])).
% 3.03/3.27 tff(4659,plain,
% 3.03/3.27 (~(elem!1 = s(s(s(z))))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[4658, 4657])).
% 3.03/3.27 tff(4660,plain,
% 3.03/3.27 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4655])).
% 3.03/3.27 tff(4661,plain,
% 3.03/3.27 (~(s(s(s(z))) = elem!1)),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[4658, 4660])).
% 3.03/3.27 tff(4662,plain,
% 3.03/3.27 (~r(s(s(elem!1)), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3038, 1294, 2588])).
% 3.03/3.27 tff(4663,plain,
% 3.03/3.27 (b(s(s(elem!1)), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[784, 4662])).
% 3.03/3.27 tff(4664,plain,
% 3.03/3.27 (~r(s(z), s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4215, 1294, 2588])).
% 3.03/3.27 tff(4665,plain,
% 3.03/3.27 (b(s(z), s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[743, 4664])).
% 3.03/3.27 tff(4666,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(z, s(z))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(z))) | (~r(elem!1, s(z))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4667,plain,
% 3.03/3.27 (((~r(z, s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, z))) <=> ((~r(elem!1, z)) | (~r(z, s(z))) | (~r(elem!1, s(z))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4668,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(z, s(z))) | (~r(elem!1, s(z)))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4667])).
% 3.03/3.27 tff(4669,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(z))) | (~r(elem!1, s(z))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[4668, 4666])).
% 3.03/3.27 tff(4670,plain,
% 3.03/3.27 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, z)))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(4671,plain,
% 3.03/3.27 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(z))) | (~r(elem!1, s(z)))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[4670, 4669])).
% 3.03/3.27 tff(4672,plain,
% 3.03/3.27 (~r(elem!1, z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4671, 82, 1731, 803])).
% 3.03/3.27 tff(4673,plain,
% 3.03/3.27 (b(elem!1, z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[846, 4672, 719])).
% 3.03/3.27 tff(4674,plain,
% 3.03/3.27 (~b(s(s(s(elem!1))), elem!1)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3027, 4673, 1021, 1374, 1388])).
% 3.03/3.27 tff(4675,plain,
% 3.03/3.27 (s(s(s(elem!1))) = elem!1),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2162, 4674, 2582])).
% 3.03/3.27 tff(4676,plain,
% 3.03/3.27 (~(s(s(elem!1)) = elem!1)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2663, 4675, 2614])).
% 3.03/3.27 tff(4677,plain,
% 3.03/3.27 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[209, 4676])).
% 3.03/3.27 tff(4678,plain,
% 3.03/3.27 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[217, 4677])).
% 3.03/3.27 tff(4679,plain,
% 3.03/3.27 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1490, 4678])).
% 3.03/3.27 tff(4680,plain,
% 3.03/3.27 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4675])).
% 3.03/3.27 tff(4681,plain,
% 3.03/3.27 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(elem!1), elem!1)),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4680])).
% 3.03/3.27 tff(4682,plain,
% 3.03/3.27 (b(s(elem!1), elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.03/3.27 inference(symmetry,[status(thm)],[4681])).
% 3.03/3.27 tff(4683,plain,
% 3.03/3.27 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[314, 4682])).
% 3.03/3.27 tff(4684,plain,
% 3.03/3.27 (r(s(elem!1), s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3081, 2771, 1788])).
% 3.03/3.27 tff(4685,plain,
% 3.03/3.27 (~r(s(elem!1), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1823, 4684, 165])).
% 3.03/3.27 tff(4686,plain,
% 3.03/3.27 (b(s(elem!1), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1812, 4685])).
% 3.03/3.27 tff(4687,plain,
% 3.03/3.27 (b(s(elem!1), z) <=> b(s(s(s(s(elem!1)))), z)),
% 3.03/3.27 inference(monotonicity,[status(thm)],[3723])).
% 3.03/3.27 tff(4688,plain,
% 3.03/3.27 (b(s(s(s(s(elem!1)))), z) <=> b(s(elem!1), z)),
% 3.03/3.27 inference(symmetry,[status(thm)],[4687])).
% 3.03/3.27 tff(4689,plain,
% 3.03/3.27 ((~b(s(s(s(s(elem!1)))), z)) <=> (~b(s(elem!1), z))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4688])).
% 3.03/3.27 tff(4690,plain,
% 3.03/3.27 (~b(s(elem!1), z)),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[1631, 4689])).
% 3.03/3.27 tff(4691,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1796, 4690])).
% 3.03/3.27 tff(4692,plain,((~b(s(elem!1), z)) | b(s(s(s(s(elem!1)))), z) | (~(elem!1 = s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4693,plain,
% 3.03/3.27 (b(s(s(s(s(elem!1)))), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4692, 4686, 3380])).
% 3.03/3.27 tff(4694,plain,
% 3.03/3.27 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[3167])).
% 3.03/3.27 tff(4695,plain,
% 3.03/3.27 (b(s(elem!1), s(s(elem!1)))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[2301, 4694])).
% 3.03/3.27 tff(4696,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2771, 4695])).
% 3.03/3.27 tff(4697,plain,((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | b(s(elem!1), s(s(elem!1))) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4698,plain,
% 3.03/3.27 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4697, 2771, 2143])).
% 3.03/3.27 tff(4699,plain,
% 3.03/3.27 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1651, 4698, 1496])).
% 3.03/3.27 tff(4700,plain,
% 3.03/3.27 (~r(z, s(s(s(s(elem!1)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1686, 4699, 165])).
% 3.03/3.27 tff(4701,plain,
% 3.03/3.27 (b(z, s(s(s(s(elem!1)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1698, 4700])).
% 3.03/3.27 tff(4702,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1709, 4701, 4693, 1131, 1021, 1621])).
% 3.03/3.27 tff(4703,plain,(b(s(elem!1), s(s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~r(z, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~(s(s(s(elem!1))) = elem!1)) | (s(elem!1) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4704,plain,
% 3.03/3.27 (b(s(elem!1), s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4703, 4673, 1021, 4683, 165, 4679, 4675, 1787])).
% 3.03/3.27 tff(4705,plain,
% 3.03/3.27 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4675])).
% 3.03/3.27 tff(4706,plain,
% 3.03/3.27 (r(elem!1, s(s(elem!1)))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[1294, 4705])).
% 3.03/3.27 tff(4707,plain,
% 3.03/3.27 (~r(elem!1, s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2715, 264, 279])).
% 3.03/3.27 tff(4708,plain,
% 3.03/3.27 (~r(z, s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[272, 264, 165])).
% 3.03/3.27 tff(4709,plain,
% 3.03/3.27 (b(z, s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1615, 187])).
% 3.03/3.27 tff(4710,plain,
% 3.03/3.27 (b(elem!1, z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[846, 719, 864])).
% 3.03/3.27 tff(4711,plain,
% 3.03/3.27 (~(z = elem!1)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2752, 719])).
% 3.03/3.27 tff(4712,plain,
% 3.03/3.27 (b(z, elem!1)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[353, 4711, 1729])).
% 3.03/3.27 tff(4713,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4714,plain,
% 3.03/3.27 (((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1)))) <=> ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4715,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4714])).
% 3.03/3.27 tff(4716,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.03/3.27 inference(transitivity,[status(thm)],[4715, 4713])).
% 3.03/3.27 tff(4717,plain,
% 3.03/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(4718,plain,
% 3.03/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[4717, 4716])).
% 3.03/3.27 tff(4719,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4718, 338, 1021, 1131, 1597, 315, 314])).
% 3.03/3.27 tff(4720,plain,((~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4721,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4720, 4712, 4710, 315, 314, 1597])).
% 3.03/3.27 tff(4722,plain,((elem!1 = z) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(z, s(elem!1))) | r(z, elem!1) | r(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4723,plain,
% 3.03/3.27 (elem!1 = z),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4722, 4709, 314, 315, 1729, 864])).
% 3.03/3.27 tff(4724,plain,
% 3.03/3.27 (s(elem!1) = s(z)),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4723])).
% 3.03/3.27 tff(4725,plain,
% 3.03/3.27 (r(z, s(elem!1)) <=> r(z, s(z))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4724])).
% 3.03/3.27 tff(4726,plain,
% 3.03/3.27 (r(z, s(z)) <=> r(z, s(elem!1))),
% 3.03/3.27 inference(symmetry,[status(thm)],[4725])).
% 3.03/3.27 tff(4727,plain,
% 3.03/3.27 (r(z, s(elem!1))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[1731, 4726])).
% 3.03/3.27 tff(4728,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[187, 4727])).
% 3.03/3.27 tff(4729,plain,(r(z, s(elem!1)) | (~r(z, s(z))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | r(z, elem!1) | r(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4730,plain,
% 3.03/3.27 (~b(elem!1, s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4729, 4708, 1729, 1731, 314, 864])).
% 3.03/3.27 tff(4731,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[252, 4730, 4707, 246])).
% 3.03/3.27 tff(4732,plain,((~r(s(s(elem!1)), s(elem!1))) | (elem!1 = s(elem!1)) | r(z, elem!1) | (~r(z, s(z))) | (~b(s(elem!1), elem!1)) | r(elem!1, z) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4733,plain,
% 3.03/3.27 (~r(s(s(elem!1)), s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4732, 1731, 1729, 1469, 314, 4672, 4706, 165])).
% 3.03/3.27 tff(4734,plain,
% 3.03/3.27 (b(s(s(elem!1)), s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[277, 4733, 229])).
% 3.03/3.27 tff(4735,plain,
% 3.03/3.27 (~b(s(elem!1), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3092, 3083, 747, 1620, 764])).
% 3.03/3.27 tff(4736,plain,
% 3.03/3.27 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(elem!1), s(z))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[3167])).
% 3.03/3.27 tff(4737,plain,
% 3.03/3.27 (b(s(elem!1), s(z))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[1589, 4736])).
% 3.03/3.27 tff(4738,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2065, 4737])).
% 3.03/3.27 tff(4739,plain,((~b(s(s(s(s(elem!1)))), s(z))) | b(s(elem!1), s(z)) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4740,plain,
% 3.03/3.27 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4739, 4735, 2143])).
% 3.03/3.27 tff(4741,plain,
% 3.03/3.27 (r(s(s(s(s(elem!1)))), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1585, 4740])).
% 3.03/3.27 tff(4742,plain,
% 3.03/3.27 (s(elem!1) = s(s(s(s(elem!1))))),
% 3.03/3.27 inference(symmetry,[status(thm)],[3167])).
% 3.03/3.27 tff(4743,plain,
% 3.03/3.27 (r(s(elem!1), s(z)) <=> r(s(s(s(s(elem!1)))), s(z))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4742])).
% 3.03/3.27 tff(4744,plain,
% 3.03/3.27 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(elem!1), s(z))),
% 3.03/3.27 inference(symmetry,[status(thm)],[4743])).
% 3.03/3.27 tff(4745,plain,
% 3.03/3.27 (r(s(elem!1), s(z))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[1520, 4744])).
% 3.03/3.27 tff(4746,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(z, s(z))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(z))) | (~r(s(elem!1), s(z))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4747,plain,
% 3.03/3.27 (((~r(z, s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), z))) <=> ((~r(s(elem!1), z)) | (~r(z, s(z))) | (~r(s(elem!1), s(z))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4748,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(z, s(z))) | (~r(s(elem!1), s(z)))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4747])).
% 3.03/3.27 tff(4749,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(z))) | (~r(s(elem!1), s(z))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[4748, 4746])).
% 3.03/3.27 tff(4750,plain,
% 3.03/3.27 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), z)))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(4751,plain,
% 3.03/3.27 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(z))) | (~r(s(elem!1), s(z)))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[4750, 4749])).
% 3.03/3.27 tff(4752,plain,
% 3.03/3.27 (~r(s(elem!1), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4751, 82, 1815, 1731])).
% 3.03/3.27 tff(4753,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4752, 4745])).
% 3.03/3.27 tff(4754,plain,((~r(s(s(s(s(elem!1)))), s(z))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(elem!1), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4755,plain,
% 3.03/3.27 (~r(s(elem!1), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4754, 4741, 1731, 2143])).
% 3.03/3.27 tff(4756,plain,
% 3.03/3.27 (b(s(elem!1), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1812, 4755])).
% 3.03/3.27 tff(4757,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4758,plain,
% 3.03/3.27 (((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1))))) <=> ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4759,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1))))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4758])).
% 3.03/3.27 tff(4760,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[4759, 4757])).
% 3.03/3.27 tff(4761,plain,
% 3.03/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(4762,plain,
% 3.03/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1))))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[4761, 4760])).
% 3.03/3.27 tff(4763,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4762, 338, 1021, 316, 314, 747, 4756, 3083])).
% 3.03/3.27 tff(4764,plain,((~b(s(z), s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(z))) | (~(s(s(s(elem!1))) = elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4765,plain,
% 3.03/3.27 (~b(s(z), s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4764, 4734, 1021, 314, 747, 1731, 4675, 4704, 764])).
% 3.03/3.27 tff(4766,plain,
% 3.03/3.27 (r(s(z), s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3066, 4765, 1949])).
% 3.03/3.27 tff(4767,plain,
% 3.03/3.27 (~r(elem!1, s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1981, 4766, 754])).
% 3.03/3.27 tff(4768,plain,
% 3.03/3.27 (b(elem!1, s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[252, 4767, 1469])).
% 3.03/3.27 tff(4769,plain,
% 3.03/3.27 (r(z, s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4729, 4768, 1729, 1731, 314, 4672])).
% 3.03/3.27 tff(4770,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(z), s(elem!1))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4771,plain,
% 3.03/3.27 (((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(z)))) <=> ((~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(z), s(elem!1))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(4772,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(z), s(elem!1)))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4771])).
% 3.03/3.27 tff(4773,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(z), s(elem!1))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[4772, 4770])).
% 3.03/3.27 tff(4774,plain,
% 3.03/3.27 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(z))))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(4775,plain,
% 3.03/3.27 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(z), s(elem!1)))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 3.03/3.27 tff(4776,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4775, 82, 4769, 1731, 4766])).
% 3.03/3.27 tff(4777,plain,((~r(z, s(z))) | r(z, elem!1) | (~b(s(elem!1), elem!1)) | (~r(s(z), elem!1)) | (s(z) = s(elem!1)) | (~b(z, elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1) | (elem!1 = z) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4778,plain,
% 3.03/3.27 (~r(z, s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4777, 803, 314, 754, 3058, 1021, 4665, 4663, 165, 229, 1294, 2614, 2582, 719, 1729])).
% 3.03/3.27 tff(4779,plain,
% 3.03/3.27 (b(z, s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[403, 4778])).
% 3.03/3.27 tff(4780,plain,
% 3.03/3.27 (elem!1 = s(s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3379, 4644])).
% 3.03/3.27 tff(4781,plain,
% 3.03/3.27 (b(elem!1, z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3979, 4780, 1388])).
% 3.03/3.27 tff(4782,plain,
% 3.03/3.27 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4648])).
% 3.03/3.27 tff(4783,plain,
% 3.03/3.27 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4782])).
% 3.03/3.27 tff(4784,plain,
% 3.03/3.27 (~(elem!1 = s(s(s(s(z)))))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[3187, 4783])).
% 3.03/3.27 tff(4785,plain,
% 3.03/3.27 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.03/3.27 inference(transitivity,[status(thm)],[4782, 1058])).
% 3.03/3.27 tff(4786,plain,
% 3.03/3.27 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4785])).
% 3.03/3.27 tff(4787,plain,
% 3.03/3.27 (~(s(s(s(s(z)))) = elem!1)),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[3187, 4786])).
% 3.03/3.27 tff(4788,plain,
% 3.03/3.27 (~(s(elem!1) = s(s(s(z))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3655, 4644])).
% 3.03/3.27 tff(4789,plain,
% 3.03/3.27 (~(s(s(s(z))) = s(elem!1))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3985, 4788])).
% 3.03/3.27 tff(4790,assumption,(s(s(s(s(z)))) = s(s(elem!1))), introduced(assumption)).
% 3.03/3.27 tff(4791,plain,
% 3.03/3.27 (inj_0(s(s(s(s(z))))) = inj_0(s(s(elem!1)))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4790])).
% 3.03/3.27 tff(4792,plain,
% 3.03/3.27 (s(s(s(z))) = s(elem!1)),
% 3.03/3.27 inference(transitivity,[status(thm)],[45, 4791, 181])).
% 3.03/3.27 tff(4793,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[3993, 4792])).
% 3.03/3.27 tff(4794,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (s(s(s(z))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(4795,plain,
% 3.03/3.27 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4794, 4789])).
% 3.03/3.27 tff(4796,plain,
% 3.03/3.27 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(elem!1)), elem!1)),
% 3.03/3.27 inference(monotonicity,[status(thm)],[4644])).
% 3.03/3.27 tff(4797,plain,
% 3.03/3.27 (r(s(s(elem!1)), elem!1)),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[2257, 4796])).
% 3.03/3.27 tff(4798,assumption,(~(s(s(s(s(z)))) = s(s(elem!1)))), introduced(assumption)).
% 3.03/3.27 tff(4799,plain,
% 3.03/3.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4800,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4801,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(elem!1))))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4800, 4799])).
% 3.03/3.28 tff(4802,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4801, 82, 254, 1147])).
% 3.03/3.28 tff(4803,plain,
% 3.03/3.28 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(elem!1))) | b(s(s(s(s(z)))), s(s(elem!1))) | r(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(elem!1))) | b(s(s(s(s(z)))), s(s(elem!1))) | r(s(s(s(s(z)))), s(s(elem!1))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4804,plain,
% 3.03/3.28 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(elem!1))) | b(s(s(s(s(z)))), s(s(elem!1))) | r(s(s(s(s(z)))), s(s(elem!1))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4805,plain,
% 3.03/3.28 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(elem!1))) | b(s(s(s(s(z)))), s(s(elem!1))) | r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4804, 4803])).
% 3.03/3.28 tff(4806,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4805, 21, 4802, 4798])).
% 3.03/3.28 tff(4807,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[3417, 1147, 754])).
% 3.03/3.28 tff(4808,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[119, 4807])).
% 3.03/3.28 tff(4809,plain,
% 3.03/3.28 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2949, 1147, 754])).
% 3.03/3.28 tff(4810,plain,
% 3.03/3.28 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[106, 4809])).
% 3.03/3.28 tff(4811,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4812,plain,
% 3.03/3.28 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4813,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[4812])).
% 3.03/3.28 tff(4814,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.03/3.28 inference(transitivity,[status(thm)],[4813, 4811])).
% 3.03/3.28 tff(4815,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4816,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4815, 4814])).
% 3.03/3.28 tff(4817,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4816, 338, 747, 764, 4810, 4808, 4806])).
% 3.03/3.28 tff(4818,plain,((~r(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (s(s(s(s(z)))) = s(s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(4819,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), elem!1)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4818, 4797, 4663, 4665, 4795, 754])).
% 3.03/3.28 tff(4820,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), elem!1)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1144, 4819, 4787])).
% 3.03/3.28 tff(4821,plain,
% 3.03/3.28 (~(s(s(elem!1)) = elem!1)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2663, 4644, 2614])).
% 3.03/3.28 tff(4822,plain,
% 3.03/3.28 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[209, 4821])).
% 3.03/3.28 tff(4823,plain,
% 3.03/3.28 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[217, 4822])).
% 3.03/3.28 tff(4824,plain,
% 3.03/3.28 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1490, 4823])).
% 3.03/3.28 tff(4825,plain,
% 3.03/3.28 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(elem!1), elem!1)),
% 3.03/3.28 inference(monotonicity,[status(thm)],[4645])).
% 3.03/3.28 tff(4826,plain,
% 3.03/3.28 (b(s(elem!1), elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.03/3.28 inference(symmetry,[status(thm)],[4825])).
% 3.03/3.28 tff(4827,plain,
% 3.03/3.28 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[314, 4826])).
% 3.03/3.28 tff(4828,plain,
% 3.03/3.28 (b(s(elem!1), s(s(elem!1)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4703, 4827, 1021, 4781, 165, 4824, 4644, 1787])).
% 3.03/3.28 tff(4829,plain,
% 3.03/3.28 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(elem!1), elem!1)),
% 3.03/3.28 inference(monotonicity,[status(thm)],[3167])).
% 3.03/3.28 tff(4830,plain,
% 3.03/3.28 (b(s(elem!1), elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.03/3.28 inference(symmetry,[status(thm)],[4829])).
% 3.03/3.28 tff(4831,plain,
% 3.03/3.28 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[314, 4830])).
% 3.03/3.28 tff(4832,plain,
% 3.03/3.28 (b(elem!1, s(s(s(s(elem!1))))) <=> b(elem!1, s(elem!1))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[3167])).
% 3.03/3.28 tff(4833,plain,
% 3.03/3.28 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 3.03/3.28 inference(symmetry,[status(thm)],[4832])).
% 3.03/3.28 tff(4834,plain,
% 3.03/3.28 (~r(s(z), s(elem!1))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1981, 235, 754])).
% 3.03/3.28 tff(4835,plain,
% 3.03/3.28 (b(s(z), s(elem!1))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[3066, 4834, 3058])).
% 3.03/3.28 tff(4836,plain,
% 3.03/3.28 (~b(s(elem!1), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[3092, 4835, 747, 1620, 764])).
% 3.03/3.28 tff(4837,plain,
% 3.03/3.28 (r(s(elem!1), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2070, 4836, 1917])).
% 3.03/3.28 tff(4838,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4839,plain,
% 3.03/3.28 (((~r(s(elem!1), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(elem!1)))) <=> ((~r(elem!1, s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4840,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z)))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[4839])).
% 3.03/3.28 tff(4841,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z))))),
% 3.03/3.28 inference(transitivity,[status(thm)],[4840, 4838])).
% 3.03/3.28 tff(4842,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(elem!1, s(z))) | (~r(elem!1, s(elem!1))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4843,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z)))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4842, 4841])).
% 3.03/3.28 tff(4844,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4843, 82, 235, 803, 4837])).
% 3.03/3.28 tff(4845,plain,((~r(elem!1, s(elem!1))) | (~r(elem!1, s(z))) | (s(elem!1) = s(z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(4846,plain,
% 3.03/3.28 (~r(elem!1, s(elem!1))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4845, 803, 1917, 747, 1620, 764, 754])).
% 3.03/3.28 tff(4847,plain,
% 3.03/3.28 (b(elem!1, s(elem!1))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[252, 4846, 246])).
% 3.03/3.28 tff(4848,plain,
% 3.03/3.28 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4847, 4833])).
% 3.03/3.28 tff(4849,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4850,plain,
% 3.03/3.28 (((~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z))) <=> ((~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4851,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[4850])).
% 3.03/3.28 tff(4852,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.03/3.28 inference(transitivity,[status(thm)],[4851, 4849])).
% 3.03/3.28 tff(4853,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4854,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 3.03/3.28 tff(4855,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4854, 338, 1021, 1131, 2303, 1700, 1621])).
% 3.03/3.28 tff(4856,plain,((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(4857,plain,
% 3.03/3.28 (~b(s(s(s(s(elem!1)))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4856, 4848, 1131, 4831, 1021])).
% 3.03/3.28 tff(4858,plain,
% 3.03/3.28 (~b(s(elem!1), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4692, 4857, 3380])).
% 3.03/3.28 tff(4859,plain,
% 3.03/3.28 (r(s(elem!1), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1812, 4858])).
% 3.03/3.28 tff(4860,plain,
% 3.03/3.28 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[3632])).
% 3.03/3.28 tff(4861,plain,
% 3.03/3.28 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[3645, 4860])).
% 3.03/3.28 tff(4862,plain,
% 3.03/3.28 (~b(z, s(s(s(z))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[3356, 1740, 486, 458, 457])).
% 3.03/3.28 tff(4863,plain,
% 3.03/3.28 (r(z, s(s(s(z))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[149, 4862])).
% 3.03/3.28 tff(4864,assumption,(~(s(s(s(s(z)))) = s(elem!1))), introduced(assumption)).
% 3.03/3.28 tff(4865,plain,
% 3.03/3.28 (~b(s(s(s(z))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1749, 457, 1740, 486, 458])).
% 3.03/3.28 tff(4866,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(elem!1), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(elem!1), s(s(s(z))))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4867,plain,
% 3.03/3.28 (((~r(s(s(s(z))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(z)))))) <=> ((~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(elem!1), s(s(s(z))))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4868,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(elem!1), s(s(s(z)))))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[4867])).
% 3.03/3.28 tff(4869,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(elem!1), s(s(s(z))))))),
% 3.03/3.28 inference(transitivity,[status(thm)],[4868, 4866])).
% 3.03/3.28 tff(4870,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(z))))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4871,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(elem!1), s(s(s(z)))))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 3.03/3.28 tff(4872,plain,
% 3.03/3.28 (~r(s(elem!1), s(s(s(z))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4871, 82, 1815, 426])).
% 3.03/3.28 tff(4873,plain,
% 3.03/3.28 ((s(elem!1) = s(s(s(z)))) | b(s(elem!1), s(s(s(z))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[3679, 21, 4872])).
% 3.03/3.28 tff(4874,plain,
% 3.03/3.28 (b(s(elem!1), s(s(s(z))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4873, 3994])).
% 3.03/3.28 tff(4875,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(elem!1))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4876,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(elem!1))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4877,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(elem!1)))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4876, 4875])).
% 3.03/3.28 tff(4878,plain,
% 3.03/3.28 (~r(s(s(s(z))), s(elem!1))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4877, 82, 1815, 426])).
% 3.03/3.28 tff(4879,plain,
% 3.03/3.28 (b(s(s(s(z))), s(elem!1))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[3691, 21, 3993, 4878])).
% 3.03/3.28 tff(4880,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4881,plain,
% 3.03/3.28 (((~b(s(elem!1), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(elem!1), s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4882,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1)))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[4881])).
% 3.03/3.28 tff(4883,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1))))),
% 3.03/3.28 inference(transitivity,[status(thm)],[4882, 4880])).
% 3.03/3.28 tff(4884,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(elem!1), s(z))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4885,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1)))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4884, 4883])).
% 3.03/3.28 tff(4886,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4885, 338, 457, 458, 3084, 4879, 4874])).
% 3.03/3.28 tff(4887,plain,((~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), s(z))) | (s(s(s(z))) = s(elem!1)) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(4888,plain,
% 3.03/3.28 (~r(s(s(s(z))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4887, 457, 458, 3084, 3993, 1815])).
% 3.03/3.28 tff(4889,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[135, 4888, 4865])).
% 3.03/3.28 tff(4890,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), s(z))) | (s(s(s(z))) = s(elem!1)) | (~r(s(elem!1), z)) | (~b(s(z), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(4891,plain,
% 3.03/3.28 (~b(s(elem!1), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4890, 1740, 486, 3993, 1815, 457, 458])).
% 3.03/3.28 tff(4892,plain,
% 3.03/3.28 (r(s(elem!1), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2070, 4891, 1917])).
% 3.03/3.28 tff(4893,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4894,plain,
% 3.03/3.28 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z))))))) <=> ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4895,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[4894])).
% 3.03/3.28 tff(4896,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.03/3.28 inference(transitivity,[status(thm)],[4895, 4893])).
% 3.03/3.28 tff(4897,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(4898,plain,
% 3.03/3.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 3.03/3.28 tff(4899,plain,
% 3.03/3.28 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[4898, 82, 108, 3047])).
% 3.03/3.28 tff(4900,plain,
% 3.03/3.28 (b(s(elem!1), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[3668, 21, 4899, 3664])).
% 3.03/3.28 tff(4901,plain,
% 3.03/3.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(4902,plain,
% 3.03/3.28 (((~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(elem!1)))) <=> ((~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4903,plain,
% 3.03/3.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[4902])).
% 3.03/3.29 tff(4904,plain,
% 3.03/3.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[4903, 4901])).
% 3.03/3.29 tff(4905,plain,
% 3.03/3.29 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(4906,plain,
% 3.03/3.29 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 3.03/3.29 tff(4907,plain,
% 3.03/3.29 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4906, 82, 108, 3047])).
% 3.03/3.29 tff(4908,assumption,(~r(s(s(s(s(z)))), s(elem!1))), introduced(assumption)).
% 3.03/3.29 tff(4909,assumption,(~b(s(s(s(s(z)))), s(elem!1))), introduced(assumption)).
% 3.03/3.29 tff(4910,plain,
% 3.03/3.29 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(elem!1)) | b(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(z)))), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(elem!1)) | b(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(z)))), s(elem!1)))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4911,plain,
% 3.03/3.29 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(elem!1)) | b(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(z)))), s(elem!1)))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(4912,plain,
% 3.03/3.29 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(elem!1)) | b(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(z)))), s(elem!1))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 3.03/3.29 tff(4913,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4912, 21, 4909, 4864, 4908])).
% 3.03/3.29 tff(4914,plain,(r(s(s(s(s(z)))), s(elem!1)) | b(s(s(s(s(z)))), s(elem!1)) | (s(s(s(s(z)))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(4915,plain,
% 3.03/3.29 (b(s(s(s(s(z)))), s(elem!1))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4914, 4907, 4864])).
% 3.03/3.29 tff(4916,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4917,plain,
% 3.03/3.29 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4918,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[4917])).
% 3.03/3.29 tff(4919,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.29 inference(transitivity,[status(thm)],[4918, 4916])).
% 3.03/3.29 tff(4920,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(4921,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4920, 4919])).
% 3.03/3.29 tff(4922,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4921, 338, 315, 314, 1130, 4915, 4900])).
% 3.03/3.29 tff(4923,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (s(elem!1) = s(s(s(s(z))))) | (s(s(s(s(z)))) = s(elem!1)) | (~r(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(4924,plain,
% 3.03/3.29 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4923, 4892, 314, 1130, 3664, 4864, 315])).
% 3.03/3.29 tff(4925,plain,
% 3.03/3.29 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[119, 4924])).
% 3.03/3.29 tff(4926,plain,
% 3.03/3.29 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1139, 4863, 1131, 1130, 1021])).
% 3.03/3.29 tff(4927,plain,
% 3.03/3.29 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1011, 4926])).
% 3.03/3.29 tff(4928,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4929,plain,
% 3.03/3.29 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4930,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[4929])).
% 3.03/3.29 tff(4931,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[4930, 4928])).
% 3.03/3.29 tff(4932,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(4933,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4932, 4931])).
% 3.03/3.29 tff(4934,plain,
% 3.03/3.29 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4933, 338, 457, 458, 4927, 4925])).
% 3.03/3.29 tff(4935,plain,
% 3.03/3.29 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[689, 4934])).
% 3.03/3.29 tff(4936,plain,
% 3.03/3.29 (~r(z, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[919, 4935, 4863])).
% 3.03/3.29 tff(4937,plain,
% 3.03/3.29 (b(z, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[391, 4936])).
% 3.03/3.29 tff(4938,plain,
% 3.03/3.29 (~b(s(s(s(z))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1749, 1740, 486, 458, 457])).
% 3.03/3.29 tff(4939,plain,
% 3.03/3.29 (r(s(s(s(z))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[135, 4938])).
% 3.03/3.29 tff(4940,plain,
% 3.03/3.29 (~r(s(s(s(s(z)))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[3603, 4935, 4939])).
% 3.03/3.29 tff(4941,plain,
% 3.03/3.29 (b(s(s(s(s(z)))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[127, 4940])).
% 3.03/3.29 tff(4942,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1137, 338, 1021, 1131, 1130, 4941, 4937])).
% 3.03/3.29 tff(4943,plain,((~b(s(z), z)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(elem!1), elem!1)) | (s(elem!1) = s(s(s(s(z))))) | (s(s(s(s(z)))) = s(elem!1)) | (~b(elem!1, s(elem!1))) | (s(elem!1) = s(z)) | (~b(z, s(z))) | (s(s(s(z))) = s(elem!1)) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(4944,plain,
% 3.03/3.29 (~b(s(z), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4943, 3347, 1131, 1130, 1021, 3337, 314, 3646, 4861, 4847, 1917, 486, 3986, 4859])).
% 3.03/3.29 tff(4945,plain,
% 3.03/3.29 (r(s(z), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[26, 4944])).
% 3.03/3.29 tff(4946,plain,
% 3.03/3.29 (~(elem!1 = s(s(s(z))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4658, 3295])).
% 3.03/3.29 tff(4947,plain,
% 3.03/3.29 (~(s(s(s(z))) = elem!1)),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4658, 3113])).
% 3.03/3.29 tff(4948,plain,
% 3.03/3.29 (~b(z, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1137, 338, 1021, 1131, 1130, 175])).
% 3.03/3.29 tff(4949,plain,
% 3.03/3.29 (r(z, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[391, 4948])).
% 3.03/3.29 tff(4950,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4951,plain,
% 3.03/3.29 (((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4952,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[4951])).
% 3.03/3.29 tff(4953,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[4952, 4950])).
% 3.03/3.29 tff(4954,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(4955,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 3.03/3.29 tff(4956,plain,
% 3.03/3.29 (~b(elem!1, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4955, 338, 1021, 1131, 1130, 175])).
% 3.03/3.29 tff(4957,plain,
% 3.03/3.29 (r(elem!1, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1094, 4956, 2444])).
% 3.03/3.29 tff(4958,plain,
% 3.03/3.29 (~r(s(z), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[3247, 3239, 754])).
% 3.03/3.29 tff(4959,plain,
% 3.03/3.29 (b(s(z), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[106, 4958])).
% 3.03/3.29 tff(4960,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4961,plain,
% 3.03/3.29 (((~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4962,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[4961])).
% 3.03/3.29 tff(4963,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.03/3.29 inference(transitivity,[status(thm)],[4962, 4960])).
% 3.03/3.29 tff(4964,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(4965,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4964, 4963])).
% 3.03/3.29 tff(4966,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4965, 338, 1021, 457, 651, 539, 1130, 175])).
% 3.03/3.29 tff(4967,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(4968,plain,
% 3.03/3.29 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4967, 3347, 4959, 1021, 1130, 175])).
% 3.03/3.29 tff(4969,plain,
% 3.03/3.29 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[689, 4968])).
% 3.03/3.29 tff(4970,plain,
% 3.03/3.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4971,plain,
% 3.03/3.29 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(z)))))) <=> ((~r(elem!1, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4972,plain,
% 3.03/3.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[4971])).
% 3.03/3.29 tff(4973,plain,
% 3.03/3.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[4972, 4970])).
% 3.03/3.29 tff(4974,plain,
% 3.03/3.29 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(z))))))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(4975,plain,
% 3.03/3.29 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4974, 4973])).
% 3.03/3.29 tff(4976,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4975, 82, 3239, 4969, 1146])).
% 3.03/3.29 tff(4977,plain,((~r(elem!1, s(s(s(z))))) | (~r(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(4978,plain,
% 3.03/3.29 (~r(elem!1, s(s(s(z))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4977, 4957, 1021, 754, 175, 1130])).
% 3.03/3.29 tff(4979,plain,
% 3.03/3.29 (b(elem!1, s(s(s(z))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1160, 4978, 1050])).
% 3.03/3.29 tff(4980,plain,
% 3.03/3.29 (~r(s(s(s(z))), elem!1)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1101, 82, 3239, 911])).
% 3.03/3.29 tff(4981,plain,
% 3.03/3.29 (b(s(s(s(z))), elem!1)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1110, 4980, 1103])).
% 3.03/3.29 tff(4982,plain,
% 3.03/3.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4983,plain,
% 3.03/3.29 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z))) <=> ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(4984,plain,
% 3.03/3.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[4983])).
% 3.03/3.29 tff(4985,plain,
% 3.03/3.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[4984, 4982])).
% 3.03/3.29 tff(4986,plain,
% 3.03/3.29 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(4987,plain,
% 3.03/3.29 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[4986, 4985])).
% 3.03/3.29 tff(4988,plain,
% 3.03/3.29 (~r(s(s(s(z))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4987, 82, 911, 371])).
% 3.03/3.29 tff(4989,plain,
% 3.03/3.29 (b(s(s(s(z))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[135, 4988])).
% 3.03/3.29 tff(4990,plain,
% 3.03/3.29 (~r(z, s(s(s(z))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[917, 82, 911, 371])).
% 3.03/3.29 tff(4991,plain,
% 3.03/3.29 (b(z, s(s(s(z))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[149, 4990])).
% 3.03/3.29 tff(4992,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)))),
% 3.03/3.30 inference(rewrite,[status(thm)],[])).
% 3.03/3.30 tff(4993,plain,
% 3.03/3.30 (((~b(s(s(s(z))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z)))))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)))),
% 3.03/3.30 inference(rewrite,[status(thm)],[])).
% 3.03/3.30 tff(4994,plain,
% 3.03/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1))))),
% 3.03/3.30 inference(monotonicity,[status(thm)],[4993])).
% 3.03/3.30 tff(4995,plain,
% 3.03/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)))),
% 3.03/3.30 inference(transitivity,[status(thm)],[4994, 4992])).
% 3.03/3.30 tff(4996,plain,
% 3.03/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(4997,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[4996, 4995])).
% 3.13/3.30 tff(4998,plain,
% 3.13/3.30 ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[4997, 338])).
% 3.13/3.30 tff(4999,plain,
% 3.13/3.30 ($false),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[4998, 4991, 4989, 1021, 1131, 2381, 4981])).
% 3.13/3.30 tff(5000,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(z))))) | (s(s(s(z))) = elem!1) | (~r(z, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(5001,plain,
% 3.13/3.30 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5000, 4979, 1021, 1131, 1103, 4957, 4949])).
% 3.13/3.30 tff(5002,plain,
% 3.13/3.30 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[689, 5001])).
% 3.13/3.30 tff(5003,plain,
% 3.13/3.30 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[552, 4949, 405])).
% 3.13/3.30 tff(5004,plain,
% 3.13/3.30 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[106, 5003])).
% 3.13/3.30 tff(5005,plain,
% 3.13/3.30 (r(z, s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[389, 21, 4948, 384])).
% 3.13/3.30 tff(5006,plain,
% 3.13/3.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(s(z))), elem!1)))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5007,plain,
% 3.13/3.30 (((~r(elem!1, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), elem!1))) <=> ((~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(s(z))), elem!1)))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5008,plain,
% 3.13/3.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(s(z))), elem!1))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[5007])).
% 3.13/3.30 tff(5009,plain,
% 3.13/3.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(s(z))), elem!1)))),
% 3.13/3.30 inference(transitivity,[status(thm)],[5008, 5006])).
% 3.13/3.30 tff(5010,plain,
% 3.13/3.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), elem!1)))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(5011,plain,
% 3.13/3.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(s(z))), elem!1))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 3.13/3.30 tff(5012,plain,
% 3.13/3.30 (~r(s(s(s(z))), elem!1)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5011, 82, 427, 803])).
% 3.13/3.30 tff(5013,plain,
% 3.13/3.30 (b(s(s(s(z))), elem!1)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1110, 5012, 1103])).
% 3.13/3.30 tff(5014,plain,
% 3.13/3.30 (~r(elem!1, s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[3333, 82, 427, 803])).
% 3.13/3.30 tff(5015,plain,
% 3.13/3.30 (b(elem!1, s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1160, 5014, 1050])).
% 3.13/3.30 tff(5016,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5017,plain,
% 3.13/3.30 (((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5018,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[5017])).
% 3.13/3.30 tff(5019,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.30 inference(transitivity,[status(thm)],[5018, 5016])).
% 3.13/3.30 tff(5020,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(5021,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[5020, 5019])).
% 3.13/3.30 tff(5022,plain,
% 3.13/3.30 (~b(z, s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5021, 338, 1021, 1131, 5013, 1130, 175])).
% 3.13/3.30 tff(5023,plain,
% 3.13/3.30 (r(z, s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[149, 5022])).
% 3.13/3.30 tff(5024,plain,
% 3.13/3.30 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1119, 5023, 5005])).
% 3.13/3.30 tff(5025,plain,
% 3.13/3.30 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1011, 5024])).
% 3.13/3.30 tff(5026,plain,
% 3.13/3.30 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2389, 5025, 1130, 5015, 5013])).
% 3.13/3.30 tff(5027,plain,
% 3.13/3.30 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[689, 5026])).
% 3.13/3.30 tff(5028,plain,
% 3.13/3.30 ($false),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[917, 82, 5023, 5027, 5005])).
% 3.13/3.30 tff(5029,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(s(z)))) | (s(s(s(z))) = elem!1) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(5030,plain,
% 3.13/3.30 (~r(s(s(s(z))), s(z))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5029, 175, 1021, 1131, 1103, 803, 1130, 1050])).
% 3.13/3.30 tff(5031,plain,
% 3.13/3.30 (b(s(s(s(z))), s(z))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[437, 5030])).
% 3.13/3.30 tff(5032,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5033,plain,
% 3.13/3.30 (((~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5034,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[5033])).
% 3.13/3.30 tff(5035,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.30 inference(transitivity,[status(thm)],[5034, 5032])).
% 3.13/3.30 tff(5036,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(5037,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[5036, 5035])).
% 3.13/3.30 tff(5038,plain,
% 3.13/3.30 ($false),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5037, 338, 1021, 5031, 5004, 5002, 1130, 175])).
% 3.13/3.30 tff(5039,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, z)) | (s(s(s(z))) = elem!1) | (elem!1 = s(s(s(z)))) | (~r(s(z), elem!1)) | (~r(s(z), z)) | (elem!1 = s(s(s(s(z))))) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(5040,plain,
% 3.13/3.30 (~b(s(s(s(s(z)))), z)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5039, 4945, 1130, 1131, 4947, 4946, 754, 1021, 3388, 803])).
% 3.13/3.30 tff(5041,plain,
% 3.13/3.30 (r(s(s(s(s(z)))), z)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[127, 5040])).
% 3.13/3.30 tff(5042,plain,
% 3.13/3.30 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2977, 5041, 4945])).
% 3.13/3.30 tff(5043,plain,
% 3.13/3.30 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[106, 5042])).
% 3.13/3.30 tff(5044,plain,
% 3.13/3.30 (b(s(z), s(s(s(s(elem!1))))) <=> b(s(z), s(elem!1))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[3167])).
% 3.13/3.30 tff(5045,plain,
% 3.13/3.30 (r(s(z), s(elem!1))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[3066, 3064, 1949])).
% 3.13/3.30 tff(5046,plain,
% 3.13/3.30 (~r(elem!1, s(elem!1))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1981, 5045, 754])).
% 3.13/3.30 tff(5047,plain,
% 3.13/3.30 (b(elem!1, s(elem!1))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[252, 5046, 246])).
% 3.13/3.30 tff(5048,plain,
% 3.13/3.30 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[5047, 4833])).
% 3.13/3.30 tff(5049,plain,
% 3.13/3.30 (~b(s(s(s(s(elem!1)))), z)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[4856, 5048, 1131, 1621, 1021])).
% 3.13/3.30 tff(5050,plain,
% 3.13/3.30 (r(s(s(s(s(elem!1)))), z)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1638, 5049])).
% 3.13/3.30 tff(5051,plain,
% 3.13/3.30 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2233, 5050, 405])).
% 3.13/3.30 tff(5052,plain,
% 3.13/3.30 (b(s(z), s(s(s(s(elem!1)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2239, 5051])).
% 3.13/3.30 tff(5053,plain,
% 3.13/3.30 (b(s(z), s(elem!1))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[5052, 5044])).
% 3.13/3.30 tff(5054,plain,
% 3.13/3.30 ($false),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[3064, 5053])).
% 3.13/3.30 tff(5055,plain,(b(s(z), s(elem!1)) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(z), z)) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (elem!1 = s(elem!1)) | (~r(s(z), elem!1)) | (s(z) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(5056,plain,
% 3.13/3.30 (b(s(z), s(elem!1))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5055, 4945, 2143, 1131, 4831, 1021, 246, 754, 3058])).
% 3.13/3.30 tff(5057,plain,
% 3.13/3.30 (~b(s(elem!1), s(z))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[3092, 5056, 747, 1620, 764])).
% 3.13/3.30 tff(5058,plain,
% 3.13/3.30 (r(s(elem!1), s(z))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2070, 5057, 1917])).
% 3.13/3.30 tff(5059,plain,
% 3.13/3.30 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[4923, 5058, 314, 1130, 3646, 4861, 4847])).
% 3.13/3.30 tff(5060,plain,
% 3.13/3.30 (b(s(s(s(s(z)))), s(z))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[119, 5059])).
% 3.13/3.30 tff(5061,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5062,plain,
% 3.13/3.30 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5063,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1))))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[5062])).
% 3.13/3.30 tff(5064,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 3.13/3.30 inference(transitivity,[status(thm)],[5063, 5061])).
% 3.13/3.30 tff(5065,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(5066,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1))))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 3.13/3.30 tff(5067,plain,
% 3.13/3.30 ((~b(z, s(s(s(z))))) | (~b(s(z), s(elem!1)))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5066, 338, 747, 486, 3337, 1620])).
% 3.13/3.30 tff(5068,plain,
% 3.13/3.30 (~b(z, s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5067, 5056])).
% 3.13/3.30 tff(5069,plain,
% 3.13/3.30 (r(z, s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[149, 5068])).
% 3.13/3.30 tff(5070,plain,
% 3.13/3.30 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1139, 5069, 1131, 1130, 1021])).
% 3.13/3.30 tff(5071,plain,
% 3.13/3.30 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1011, 5070])).
% 3.13/3.30 tff(5072,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5073,plain,
% 3.13/3.30 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(5074,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[5073])).
% 3.13/3.30 tff(5075,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.13/3.30 inference(transitivity,[status(thm)],[5074, 5072])).
% 3.13/3.30 tff(5076,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(5077,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 3.13/3.30 tff(5078,plain,
% 3.13/3.30 ($false),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5077, 338, 457, 458, 987, 651, 2911])).
% 3.13/3.30 tff(5079,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(5080,plain,
% 3.13/3.30 ($false),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5079, 5071, 5060, 3337, 3347, 5043])).
% 3.13/3.30 tff(5081,plain,((~r(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (s(elem!1) = s(z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~(s(s(s(elem!1))) = elem!1)) | (elem!1 = s(elem!1)) | (~r(s(z), elem!1)) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(5082,plain,
% 3.13/3.30 (~r(elem!1, s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[5081, 4781, 4820, 1021, 314, 1917, 4665, 4779, 4828, 4663, 4644, 1469, 754, 803])).
% 3.13/3.30 tff(5083,plain,
% 3.13/3.30 (b(elem!1, s(s(s(z))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1160, 5082, 4659])).
% 3.13/3.30 tff(5084,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5085,plain,
% 3.13/3.31 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5086,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[5085])).
% 3.13/3.31 tff(5087,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.31 inference(transitivity,[status(thm)],[5086, 5084])).
% 3.13/3.31 tff(5088,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(5089,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 3.13/3.31 tff(5090,plain,
% 3.13/3.31 (~b(z, s(s(s(z))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5089, 338, 1131, 486, 5031, 1130, 175])).
% 3.13/3.31 tff(5091,plain,
% 3.13/3.31 (r(z, s(s(s(z))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[149, 5090])).
% 3.13/3.31 tff(5092,plain,
% 3.13/3.31 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[919, 4949, 5091])).
% 3.13/3.31 tff(5093,plain,
% 3.13/3.31 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[689, 5092])).
% 3.13/3.31 tff(5094,plain,
% 3.13/3.31 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[3247, 4957, 754])).
% 3.13/3.31 tff(5095,plain,
% 3.13/3.31 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[106, 5094])).
% 3.13/3.31 tff(5096,plain,
% 3.13/3.31 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1119, 4949, 5091])).
% 3.13/3.31 tff(5097,plain,
% 3.13/3.31 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1011, 5096])).
% 3.13/3.31 tff(5098,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5099,plain,
% 3.13/3.31 (((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5100,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[5099])).
% 3.13/3.31 tff(5101,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.31 inference(transitivity,[status(thm)],[5100, 5098])).
% 3.13/3.31 tff(5102,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(5103,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[5102, 5101])).
% 3.13/3.31 tff(5104,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5103, 338, 5031, 2381, 5097, 5095, 5093, 1130])).
% 3.13/3.31 tff(5105,plain,((~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~r(s(z), elem!1)) | (elem!1 = s(s(s(s(z))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(z))) | (s(s(s(z))) = elem!1) | (~r(elem!1, s(z))) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(5106,plain,
% 3.13/3.31 (~b(s(s(s(s(z)))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5105, 5083, 4820, 754, 4784, 1021, 4781, 4779, 4661, 803, 4659])).
% 3.13/3.31 tff(5107,plain,
% 3.13/3.31 (r(s(s(s(s(z)))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[127, 5106])).
% 3.13/3.31 tff(5108,plain,
% 3.13/3.31 (b(elem!1, s(s(s(s(elem!1))))) <=> b(elem!1, s(elem!1))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[4645])).
% 3.13/3.31 tff(5109,plain,
% 3.13/3.31 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.31 inference(symmetry,[status(thm)],[5108])).
% 3.13/3.31 tff(5110,plain,
% 3.13/3.31 (~r(elem!1, s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[4845, 803, 1917, 4665, 4828, 4663, 754])).
% 3.13/3.31 tff(5111,plain,
% 3.13/3.31 (b(elem!1, s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[252, 5110, 1469])).
% 3.13/3.31 tff(5112,plain,
% 3.13/3.31 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[5111, 5109])).
% 3.13/3.31 tff(5113,plain,
% 3.13/3.31 (~b(s(s(s(s(elem!1)))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[4856, 5112, 4781, 4827, 1021])).
% 3.13/3.31 tff(5114,plain,
% 3.13/3.31 (~b(s(elem!1), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[4692, 5113, 4780])).
% 3.13/3.31 tff(5115,plain,
% 3.13/3.31 (r(s(elem!1), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1812, 5114])).
% 3.13/3.31 tff(5116,plain,
% 3.13/3.31 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5117,plain,
% 3.13/3.31 (((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z))))))) <=> ((~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5118,plain,
% 3.13/3.31 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[5117])).
% 3.13/3.31 tff(5119,plain,
% 3.13/3.31 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 3.13/3.31 inference(transitivity,[status(thm)],[5118, 5116])).
% 3.13/3.31 tff(5120,plain,
% 3.13/3.31 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(5121,plain,
% 3.13/3.31 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 3.13/3.31 tff(5122,plain,
% 3.13/3.31 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5121, 82, 5115, 5107])).
% 3.13/3.31 tff(5123,plain,
% 3.13/3.31 (b(s(elem!1), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[3668, 21, 5122, 4653])).
% 3.13/3.31 tff(5124,plain,
% 3.13/3.31 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[4650])).
% 3.13/3.31 tff(5125,plain,
% 3.13/3.31 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[3645, 5124])).
% 3.13/3.31 tff(5126,plain,
% 3.13/3.31 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5127,plain,
% 3.13/3.31 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1))))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(5128,plain,
% 3.13/3.31 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1)))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 3.13/3.31 tff(5129,plain,
% 3.13/3.31 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5128, 82, 5115, 5107])).
% 3.13/3.31 tff(5130,plain,
% 3.13/3.31 (b(s(s(s(s(z)))), s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[4914, 5129, 5125])).
% 3.13/3.31 tff(5131,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[4921, 338, 5111, 314, 4820, 5130, 5123])).
% 3.13/3.31 tff(5132,plain,((~r(elem!1, s(z))) | (~b(s(elem!1), elem!1)) | (~r(s(z), elem!1)) | (~b(z, elem!1)) | (s(elem!1) = s(z)) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(elem!1)) = s(s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1) | (s(s(elem!1)) = s(elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = z) | r(z, elem!1) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(5133,plain,
% 3.13/3.31 (~r(elem!1, s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5132, 4536, 754, 314, 3114, 162, 4633, 4632, 2582, 4631, 4542, 1619, 1729, 2588])).
% 3.13/3.31 tff(5134,plain,
% 3.13/3.31 (b(elem!1, s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[819, 5133, 2602])).
% 3.13/3.31 tff(5135,plain,
% 3.13/3.31 (r(elem!1, z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[846, 3977, 719])).
% 3.13/3.31 tff(5136,plain,
% 3.13/3.31 (~r(elem!1, s(s(elem!1)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1081, 5135, 165])).
% 3.13/3.31 tff(5137,plain,
% 3.13/3.31 (~(elem!1 = s(s(s(elem!1))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[3979, 3977, 1596])).
% 3.13/3.31 tff(5138,plain,
% 3.13/3.31 (~(s(s(s(elem!1))) = elem!1)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[3379, 5137])).
% 3.13/3.31 tff(5139,plain,
% 3.13/3.31 (b(s(s(s(elem!1))), elem!1)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2162, 5138, 2582])).
% 3.13/3.31 tff(5140,plain,
% 3.13/3.31 (~(elem!1 = s(s(elem!1)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2638, 5139, 1270])).
% 3.13/3.31 tff(5141,plain,
% 3.13/3.31 (b(elem!1, s(s(elem!1)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[321, 5140, 5136])).
% 3.13/3.31 tff(5142,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5143,plain,
% 3.13/3.31 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5144,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[5143])).
% 3.13/3.31 tff(5145,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.13/3.31 inference(transitivity,[status(thm)],[5144, 5142])).
% 3.13/3.31 tff(5146,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(5147,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 3.13/3.31 tff(5148,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5147, 338, 1021, 1596, 5139, 5141, 747, 831])).
% 3.13/3.31 tff(5149,plain,(b(elem!1, z) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (~r(z, s(s(elem!1)))) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(5150,plain,
% 3.13/3.31 (b(elem!1, z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5149, 4536, 4544, 4546, 5134, 1270, 2582, 162, 1619])).
% 3.13/3.31 tff(5151,plain,
% 3.13/3.31 (~b(s(s(s(elem!1))), elem!1)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[3027, 5150, 4536, 4630, 4544])).
% 3.13/3.31 tff(5152,plain,
% 3.13/3.31 (s(s(s(elem!1))) = elem!1),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2162, 5151, 2582])).
% 3.13/3.31 tff(5153,plain,
% 3.13/3.31 (r(s(s(s(elem!1))), s(z)) <=> r(elem!1, s(z))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[5152])).
% 3.13/3.31 tff(5154,plain,
% 3.13/3.31 (r(elem!1, s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 3.13/3.31 inference(symmetry,[status(thm)],[5153])).
% 3.13/3.31 tff(5155,plain,
% 3.13/3.31 ((~r(elem!1, s(z))) <=> (~r(s(s(s(elem!1))), s(z)))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[5154])).
% 3.13/3.31 tff(5156,plain,
% 3.13/3.31 (~r(s(s(s(elem!1))), s(z))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[5133, 5155])).
% 3.13/3.31 tff(5157,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2588, 5156])).
% 3.13/3.31 tff(5158,plain,(r(z, elem!1) | (~r(s(s(s(elem!1))), s(z))) | r(s(s(s(elem!1))), elem!1) | b(s(s(s(elem!1))), s(s(elem!1))) | (~r(s(z), elem!1)) | (~b(s(elem!1), elem!1)) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(elem!1))) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(5159,plain,
% 3.13/3.31 (r(z, elem!1)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5158, 714, 2582, 1270, 754, 314, 2581, 140, 2583])).
% 3.13/3.31 tff(5160,plain,
% 3.13/3.31 (~r(z, s(s(s(elem!1))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1361, 1293, 165])).
% 3.13/3.31 tff(5161,plain,
% 3.13/3.31 (b(z, s(s(s(elem!1))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1373, 5160])).
% 3.13/3.31 tff(5162,plain,
% 3.13/3.31 (b(s(s(elem!1)), elem!1)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[327, 2640, 323])).
% 3.13/3.31 tff(5163,plain,
% 3.13/3.31 (~r(s(s(s(elem!1))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1309, 1293, 165])).
% 3.13/3.31 tff(5164,plain,
% 3.13/3.31 (b(s(s(s(elem!1))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1387, 5163])).
% 3.13/3.31 tff(5165,plain,
% 3.13/3.31 (~(s(elem!1) = s(s(elem!1)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1786, 1344])).
% 3.13/3.31 tff(5166,plain,
% 3.13/3.31 (b(elem!1, s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[252, 1914, 247])).
% 3.13/3.31 tff(5167,plain,
% 3.13/3.31 (~b(s(s(elem!1)), s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[346, 5166, 314, 2639, 317, 323])).
% 3.13/3.31 tff(5168,plain,
% 3.13/3.31 (r(s(s(elem!1)), s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[277, 5167, 1344])).
% 3.13/3.31 tff(5169,plain,
% 3.13/3.31 (~r(z, s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[272, 5168, 165])).
% 3.13/3.31 tff(5170,plain,
% 3.13/3.31 (b(z, s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1615, 5169])).
% 3.13/3.31 tff(5171,plain,
% 3.13/3.31 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[217, 2641])).
% 3.13/3.31 tff(5172,plain,
% 3.13/3.31 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2048, 5168, 1293])).
% 3.13/3.31 tff(5173,plain,
% 3.13/3.31 (b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1971, 5172, 5171])).
% 3.13/3.31 tff(5174,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1829, 5173, 5170, 165, 314, 5165, 5164, 5162, 5161])).
% 3.13/3.31 tff(5175,plain,((s(s(s(elem!1))) = elem!1) | (~r(z, s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | r(elem!1, s(s(elem!1))) | r(s(s(elem!1)), elem!1) | r(elem!1, s(elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(5176,plain,
% 3.13/3.31 (r(elem!1, s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5175, 1271, 314, 288, 263, 165, 1270, 2582])).
% 3.13/3.31 tff(5177,plain,
% 3.13/3.31 (~r(s(z), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[759, 234, 754])).
% 3.13/3.31 tff(5178,plain,
% 3.13/3.31 (b(s(z), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[26, 5177])).
% 3.13/3.31 tff(5179,plain,
% 3.13/3.31 (~r(z, s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1673, 235, 802])).
% 3.13/3.31 tff(5180,plain,
% 3.13/3.31 (b(z, s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1615, 5179])).
% 3.13/3.31 tff(5181,plain,
% 3.13/3.31 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), z)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5182,plain,
% 3.13/3.31 (((~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1)))) <=> ((~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), z)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5183,plain,
% 3.13/3.31 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), z))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[5182])).
% 3.13/3.31 tff(5184,plain,
% 3.13/3.31 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), z)))),
% 3.13/3.31 inference(transitivity,[status(thm)],[5183, 5181])).
% 3.13/3.31 tff(5185,plain,
% 3.13/3.31 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(5186,plain,
% 3.13/3.31 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), z))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 3.13/3.31 tff(5187,plain,
% 3.13/3.31 ((~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5186, 82])).
% 3.13/3.31 tff(5188,plain,
% 3.13/3.31 (~r(s(elem!1), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5187, 235, 802])).
% 3.13/3.31 tff(5189,plain,
% 3.13/3.31 (b(s(elem!1), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1812, 5188])).
% 3.13/3.31 tff(5190,plain,
% 3.13/3.31 (~b(s(z), s(elem!1))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[4302, 5189, 486, 5180, 1740])).
% 3.13/3.31 tff(5191,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1985, 21, 5190, 1949, 4834])).
% 3.13/3.31 tff(5192,plain,((~r(elem!1, s(elem!1))) | (s(z) = s(elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(z), elem!1)) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(5193,plain,
% 3.13/3.31 (~r(elem!1, z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[5192, 5176, 5178, 3194, 1949, 754])).
% 3.13/3.31 tff(5194,plain,
% 3.13/3.31 (b(elem!1, z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[846, 5193, 719])).
% 3.13/3.31 tff(5195,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5196,plain,
% 3.13/3.31 (((~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(5197,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5196])).
% 3.13/3.32 tff(5198,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.13/3.32 inference(transitivity,[status(thm)],[5197, 5195])).
% 3.13/3.32 tff(5199,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)))),
% 3.13/3.32 inference(quant_inst,[status(thm)],[])).
% 3.13/3.32 tff(5200,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5199, 5198])).
% 3.13/3.32 tff(5201,plain,
% 3.13/3.32 ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5200, 338])).
% 3.13/3.32 tff(5202,plain,
% 3.13/3.32 (~b(elem!1, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5201, 5194, 2631, 5161, 5164])).
% 3.13/3.32 tff(5203,plain,
% 3.13/3.32 (r(elem!1, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1946, 5202, 1925])).
% 3.13/3.32 tff(5204,plain,
% 3.13/3.32 (b(s(s(elem!1)), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[327, 2640, 263])).
% 3.13/3.32 tff(5205,plain,
% 3.13/3.32 (~r(z, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[243, 5176, 234])).
% 3.13/3.32 tff(5206,plain,
% 3.13/3.32 (b(z, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1615, 5205])).
% 3.13/3.32 tff(5207,plain,
% 3.13/3.32 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1829, 5206, 165, 314, 5165, 5164, 5204, 5161])).
% 3.13/3.32 tff(5208,plain,
% 3.13/3.32 (r(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1971, 5171, 5207])).
% 3.13/3.32 tff(5209,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1966, 5208, 5203, 5176])).
% 3.13/3.32 tff(5210,plain,((s(s(s(elem!1))) = elem!1) | (~r(z, s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (elem!1 = z) | (s(z) = s(elem!1)) | (~r(s(z), elem!1)) | (~r(z, elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(5211,plain,
% 3.13/3.32 (s(s(s(elem!1))) = elem!1),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5210, 1619, 314, 162, 4321, 754, 5159, 1270, 2582])).
% 3.13/3.32 tff(5212,plain,
% 3.13/3.32 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5211])).
% 3.13/3.32 tff(5213,plain,
% 3.13/3.32 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.13/3.32 inference(symmetry,[status(thm)],[5212])).
% 3.13/3.32 tff(5214,plain,
% 3.13/3.32 (~r(elem!1, s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[287, 5159, 162])).
% 3.13/3.32 tff(5215,plain,
% 3.13/3.32 (~(elem!1 = s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[696, 2591])).
% 3.13/3.32 tff(5216,plain,
% 3.13/3.32 (~r(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[759, 5159, 754])).
% 3.13/3.32 tff(5217,plain,
% 3.13/3.32 (b(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[26, 5216])).
% 3.13/3.32 tff(5218,plain,
% 3.13/3.32 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.13/3.32 inference(symmetry,[status(thm)],[3108])).
% 3.13/3.32 tff(5219,plain,
% 3.13/3.32 (~b(z, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2149, 2143, 177])).
% 3.13/3.32 tff(5220,plain,
% 3.13/3.32 (r(z, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1373, 5219])).
% 3.13/3.32 tff(5221,plain,
% 3.13/3.32 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1361, 5220, 165])).
% 3.13/3.32 tff(5222,plain,
% 3.13/3.32 (s(s(s(elem!1))) = s(s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1292, 5221, 1270])).
% 3.13/3.32 tff(5223,plain,
% 3.13/3.32 (~b(elem!1, s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[4608, 5222, 1988])).
% 3.13/3.32 tff(5224,plain,
% 3.13/3.32 (r(elem!1, s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[819, 5223, 720])).
% 3.13/3.32 tff(5225,plain,
% 3.13/3.32 (b(s(s(elem!1)), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[4203, 5224, 754, 1740, 177, 2583, 2143, 1270, 165, 5223, 714])).
% 3.13/3.32 tff(5226,plain,
% 3.13/3.32 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5225, 5218])).
% 3.13/3.32 tff(5227,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2581, 5226])).
% 3.13/3.32 tff(5228,plain,((~(s(s(s(elem!1))) = elem!1)) | b(s(s(elem!1)), s(s(s(elem!1)))) | (~r(s(z), elem!1)) | (~b(s(z), z)) | b(z, elem!1) | b(s(s(s(elem!1))), s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (z = elem!1) | (elem!1 = s(z)) | b(s(s(s(elem!1))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(5229,plain,
% 3.13/3.32 (b(z, elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5228, 5211, 754, 5217, 2581, 1270, 162, 714, 5215, 1988])).
% 3.13/3.32 tff(5230,plain,
% 3.13/3.32 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[4540, 5229, 140])).
% 3.13/3.32 tff(5231,plain,
% 3.13/3.32 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2611, 5230])).
% 3.13/3.32 tff(5232,plain,
% 3.13/3.32 (~(s(s(elem!1)) = elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2663, 5231, 5211])).
% 3.13/3.32 tff(5233,plain,
% 3.13/3.32 (~(elem!1 = s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2015, 5232])).
% 3.13/3.32 tff(5234,plain,
% 3.13/3.32 (b(elem!1, s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[321, 5233, 5214])).
% 3.13/3.32 tff(5235,plain,
% 3.13/3.32 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5234, 5213])).
% 3.13/3.32 tff(5236,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1270, 5235])).
% 3.13/3.32 tff(5237,plain,((z = elem!1) | b(s(s(s(elem!1))), s(s(elem!1))) | b(z, s(s(elem!1))) | (~r(s(z), elem!1)) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(z)) | (~b(s(elem!1), elem!1)) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(5238,plain,
% 3.13/3.32 (z = elem!1),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5237, 2592, 140, 1270, 2581, 1988, 4628, 2582])).
% 3.13/3.32 tff(5239,plain,
% 3.13/3.32 (s(z) = s(elem!1)),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5238])).
% 3.13/3.32 tff(5240,plain,
% 3.13/3.32 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5239])).
% 3.13/3.32 tff(5241,plain,
% 3.13/3.32 (b(s(elem!1), elem!1) <=> b(s(z), elem!1)),
% 3.13/3.32 inference(symmetry,[status(thm)],[5240])).
% 3.13/3.32 tff(5242,plain,
% 3.13/3.32 (b(s(z), elem!1)),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[4628, 5241])).
% 3.13/3.32 tff(5243,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1318, 5242])).
% 3.13/3.32 tff(5244,plain,(b(s(s(s(elem!1))), s(z)) | b(s(z), elem!1) | b(z, s(s(elem!1))) | b(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(5245,plain,
% 3.13/3.32 (b(s(s(s(elem!1))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5244, 2582, 140, 1270, 2581, 1318])).
% 3.13/3.32 tff(5246,plain,
% 3.13/3.32 (~(s(s(elem!1)) = s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[224, 1485])).
% 3.13/3.32 tff(5247,plain,
% 3.13/3.32 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1280, 5246])).
% 3.13/3.32 tff(5248,plain,
% 3.13/3.32 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1292, 5247, 1270])).
% 3.13/3.32 tff(5249,plain,
% 3.13/3.32 ((s(z) = z) <=> (elem!1 = z)),
% 3.13/3.32 inference(monotonicity,[status(thm)],[749])).
% 3.13/3.32 tff(5250,plain,
% 3.13/3.32 ((s(z) = z) <=> (z = elem!1)),
% 3.13/3.32 inference(transitivity,[status(thm)],[5249, 711])).
% 3.13/3.32 tff(5251,plain,
% 3.13/3.32 ((~(s(z) = z)) <=> (~(z = elem!1))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5250])).
% 3.13/3.32 tff(5252,plain,
% 3.13/3.32 (~(z = elem!1)),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[11, 5251])).
% 3.13/3.32 tff(5253,plain,
% 3.13/3.32 (r(z, elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[353, 5252, 177])).
% 3.13/3.32 tff(5254,plain,
% 3.13/3.32 (~r(s(s(elem!1)), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[262, 5253, 162])).
% 3.13/3.32 tff(5255,plain,
% 3.13/3.32 (r(s(z), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[749])).
% 3.13/3.32 tff(5256,plain,
% 3.13/3.32 ((~r(s(z), s(s(elem!1)))) <=> (~r(elem!1, s(s(elem!1))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5255])).
% 3.13/3.32 tff(5257,plain,
% 3.13/3.32 (~r(z, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1361, 5248, 162])).
% 3.13/3.32 tff(5258,plain,
% 3.13/3.32 (b(z, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1373, 5257])).
% 3.13/3.32 tff(5259,plain,
% 3.13/3.32 (~r(s(z), s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[4229, 5258, 1270, 140])).
% 3.13/3.32 tff(5260,plain,
% 3.13/3.32 (~r(elem!1, s(s(elem!1)))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5259, 5256])).
% 3.13/3.32 tff(5261,plain,
% 3.13/3.32 (~(s(s(s(elem!1))) = elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2149, 5258, 177])).
% 3.13/3.32 tff(5262,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5248, 1394])).
% 3.13/3.32 tff(5263,plain,
% 3.13/3.32 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1336, 5261])).
% 3.13/3.32 tff(5264,plain,
% 3.13/3.32 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2611, 5247])).
% 3.13/3.32 tff(5265,plain,
% 3.13/3.32 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2619, 5264, 2581])).
% 3.13/3.32 tff(5266,plain,
% 3.13/3.32 (~(elem!1 = s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1924, 5261])).
% 3.13/3.32 tff(5267,plain,
% 3.13/3.32 (b(s(s(s(elem!1))), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2162, 5261, 2582])).
% 3.13/3.32 tff(5268,plain,
% 3.13/3.32 (~r(s(s(s(elem!1))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2590, 749, 2582])).
% 3.13/3.32 tff(5269,plain,
% 3.13/3.32 (~r(s(s(s(elem!1))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1309, 5248, 162])).
% 3.13/3.32 tff(5270,plain,
% 3.13/3.32 (b(s(s(s(elem!1))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1387, 5269])).
% 3.13/3.32 tff(5271,plain,
% 3.13/3.32 (b(s(z), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[749])).
% 3.13/3.32 tff(5272,plain,
% 3.13/3.32 (b(s(z), s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[743, 5259])).
% 3.13/3.32 tff(5273,plain,
% 3.13/3.32 (b(elem!1, s(s(elem!1)))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 3.13/3.32 tff(5274,plain,
% 3.13/3.32 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 3.13/3.32 inference(symmetry,[status(thm)],[2831])).
% 3.13/3.32 tff(5275,plain,
% 3.13/3.32 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[749])).
% 3.13/3.32 tff(5276,plain,
% 3.13/3.32 ((s(z) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 3.13/3.32 inference(transitivity,[status(thm)],[5275, 5274])).
% 3.13/3.32 tff(5277,plain,
% 3.13/3.32 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(s(s(s(s(elem!1)))) = elem!1))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5276])).
% 3.13/3.32 tff(5278,plain,
% 3.13/3.32 (~(s(s(s(s(elem!1)))) = elem!1)),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[2125, 5277])).
% 3.13/3.32 tff(5279,plain,
% 3.13/3.32 (~(s(elem!1) = elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[293, 1447])).
% 3.13/3.32 tff(5280,plain,
% 3.13/3.32 (r(s(elem!1), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[312, 305, 5279])).
% 3.13/3.32 tff(5281,assumption,(r(s(s(s(s(elem!1)))), elem!1)), introduced(assumption)).
% 3.13/3.32 tff(5282,plain,
% 3.13/3.32 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1527, 82, 295, 5281])).
% 3.13/3.32 tff(5283,plain,
% 3.13/3.32 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1532, 21, 1482, 5282])).
% 3.13/3.32 tff(5284,plain,
% 3.13/3.32 (~r(s(s(s(s(elem!1)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2197, 82, 234, 5281])).
% 3.13/3.32 tff(5285,plain,
% 3.13/3.32 (b(s(s(s(s(elem!1)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1638, 5284])).
% 3.13/3.32 tff(5286,plain,
% 3.13/3.32 (~r(z, s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2205, 82, 234, 5281])).
% 3.13/3.32 tff(5287,plain,
% 3.13/3.32 (b(z, s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1698, 5286])).
% 3.13/3.32 tff(5288,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(5289,plain,
% 3.13/3.32 (((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(5290,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), s(s(s(s(elem!1))))))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5289])).
% 3.13/3.32 tff(5291,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.13/3.32 inference(transitivity,[status(thm)],[5290, 5288])).
% 3.13/3.32 tff(5292,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.13/3.32 inference(quant_inst,[status(thm)],[])).
% 3.13/3.32 tff(5293,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), s(s(s(s(elem!1))))))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5292, 5291])).
% 3.13/3.32 tff(5294,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5293, 338, 4292, 5287, 5285, 4294, 5283])).
% 3.13/3.32 tff(5295,plain,((~r(s(s(s(s(elem!1)))), elem!1)) | (s(elem!1) = s(s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(5296,plain,
% 3.13/3.32 (~r(s(s(s(s(elem!1)))), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5295, 5280, 1482, 234])).
% 3.13/3.32 tff(5297,plain,
% 3.13/3.32 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = elem!1) | b(s(s(s(s(elem!1)))), elem!1) | r(s(s(s(s(elem!1)))), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = elem!1) | b(s(s(s(s(elem!1)))), elem!1) | r(s(s(s(s(elem!1)))), elem!1))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(5298,plain,
% 3.13/3.32 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = elem!1) | b(s(s(s(s(elem!1)))), elem!1) | r(s(s(s(s(elem!1)))), elem!1))),
% 3.13/3.32 inference(quant_inst,[status(thm)],[])).
% 3.13/3.32 tff(5299,plain,
% 3.13/3.32 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = elem!1) | b(s(s(s(s(elem!1)))), elem!1) | r(s(s(s(s(elem!1)))), elem!1)),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5298, 5297])).
% 3.13/3.32 tff(5300,plain,
% 3.13/3.32 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5299, 21, 5296, 5278])).
% 3.13/3.32 tff(5301,plain,
% 3.13/3.32 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1329, 5247])).
% 3.13/3.32 tff(5302,plain,
% 3.13/3.32 (b(s(s(elem!1)), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[327, 263, 1447])).
% 3.13/3.32 tff(5303,plain,
% 3.13/3.32 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2279, 5300, 762, 5302, 1491, 2257])).
% 3.13/3.32 tff(5304,plain,
% 3.13/3.32 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1562, 5303, 5301])).
% 3.13/3.32 tff(5305,plain,
% 3.13/3.32 ((s(elem!1) = s(z)) <=> (s(elem!1) = elem!1)),
% 3.13/3.32 inference(monotonicity,[status(thm)],[749])).
% 3.13/3.32 tff(5306,plain,
% 3.13/3.32 ((s(elem!1) = s(z)) <=> (elem!1 = s(elem!1))),
% 3.13/3.32 inference(transitivity,[status(thm)],[5305, 1470])).
% 3.13/3.32 tff(5307,plain,
% 3.13/3.32 ((elem!1 = s(elem!1)) <=> (s(elem!1) = s(z))),
% 3.13/3.32 inference(symmetry,[status(thm)],[5306])).
% 3.13/3.32 tff(5308,plain,
% 3.13/3.32 ((~(elem!1 = s(elem!1))) <=> (~(s(elem!1) = s(z)))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5307])).
% 3.13/3.32 tff(5309,plain,
% 3.13/3.32 (~(elem!1 = s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[231, 5246])).
% 3.13/3.32 tff(5310,plain,
% 3.13/3.32 (~(s(elem!1) = s(z))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5309, 5308])).
% 3.13/3.32 tff(5311,plain,
% 3.13/3.32 (b(s(elem!1), s(z)) <=> b(s(elem!1), elem!1)),
% 3.13/3.32 inference(monotonicity,[status(thm)],[749])).
% 3.13/3.32 tff(5312,plain,
% 3.13/3.32 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(z))),
% 3.13/3.32 inference(symmetry,[status(thm)],[5311])).
% 3.13/3.32 tff(5313,plain,
% 3.13/3.32 ((~b(s(elem!1), elem!1)) <=> (~b(s(elem!1), s(z)))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5312])).
% 3.13/3.32 tff(5314,plain,
% 3.13/3.32 (~b(s(elem!1), s(z))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[305, 5313])).
% 3.13/3.32 tff(5315,plain,
% 3.13/3.32 (r(s(elem!1), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2070, 5314, 5310])).
% 3.13/3.32 tff(5316,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[869])).
% 3.13/3.32 tff(5317,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.32 inference(symmetry,[status(thm)],[5316])).
% 3.13/3.32 tff(5318,plain,
% 3.13/3.32 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[1476])).
% 3.13/3.32 tff(5319,plain,
% 3.13/3.32 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.32 inference(transitivity,[status(thm)],[5318, 5317])).
% 3.13/3.32 tff(5320,plain,
% 3.13/3.32 (~r(z, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[303, 5280, 234])).
% 3.13/3.32 tff(5321,plain,
% 3.13/3.32 (b(z, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1615, 5320])).
% 3.13/3.32 tff(5322,plain,
% 3.13/3.32 (~r(s(elem!1), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2764, 5280, 234])).
% 3.13/3.32 tff(5323,plain,
% 3.13/3.32 (b(s(elem!1), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1812, 5322])).
% 3.13/3.32 tff(5324,plain,
% 3.13/3.32 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1804, 5323, 1595, 1596, 5321])).
% 3.13/3.32 tff(5325,plain,
% 3.13/3.32 (r(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1971, 5324, 1485])).
% 3.13/3.32 tff(5326,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5325, 5319])).
% 3.13/3.32 tff(5327,plain,
% 3.13/3.32 (~r(s(s(z)), s(s(s(z))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1457, 5326, 1038])).
% 3.13/3.32 tff(5328,plain,
% 3.13/3.32 (b(s(s(z)), s(s(s(z))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[534, 5327])).
% 3.13/3.32 tff(5329,plain,
% 3.13/3.32 (b(s(elem!1), s(s(elem!1)))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5328, 1349])).
% 3.13/3.32 tff(5330,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(5331,plain,
% 3.13/3.32 (((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(5332,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5331])).
% 3.13/3.32 tff(5333,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.32 inference(transitivity,[status(thm)],[5332, 5330])).
% 3.13/3.32 tff(5334,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.13/3.32 inference(quant_inst,[status(thm)],[])).
% 3.13/3.32 tff(5335,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5334, 5333])).
% 3.13/3.32 tff(5336,plain,
% 3.13/3.32 ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5335, 338, 2636, 762, 5329, 5300])).
% 3.13/3.32 tff(5337,plain,
% 3.13/3.32 (~b(elem!1, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5336, 5304])).
% 3.13/3.32 tff(5338,plain,
% 3.13/3.32 (r(elem!1, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[252, 5337, 5309])).
% 3.13/3.32 tff(5339,plain,
% 3.13/3.32 ((s(z) = z) <=> (elem!1 = z)),
% 3.13/3.32 inference(transitivity,[status(thm)],[5250, 2749])).
% 3.13/3.32 tff(5340,plain,
% 3.13/3.32 ((~(s(z) = z)) <=> (~(elem!1 = z))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5339])).
% 3.13/3.32 tff(5341,plain,
% 3.13/3.32 (~(elem!1 = z)),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[11, 5340])).
% 3.13/3.32 tff(5342,plain,
% 3.13/3.32 (~r(elem!1, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1966, 5338, 5325])).
% 3.13/3.32 tff(5343,plain,
% 3.13/3.32 (b(elem!1, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1946, 5342, 1939])).
% 3.13/3.32 tff(5344,plain,
% 3.13/3.32 (~b(elem!1, z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5201, 5343, 2636, 1595, 1596])).
% 3.13/3.32 tff(5345,plain,
% 3.13/3.32 (r(elem!1, z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[846, 5344, 5341])).
% 3.13/3.32 tff(5346,plain,
% 3.13/3.32 (~r(z, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[243, 235, 234])).
% 3.13/3.32 tff(5347,plain,
% 3.13/3.32 (b(z, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1615, 5346])).
% 3.13/3.32 tff(5348,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(5349,plain,
% 3.13/3.32 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(5350,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5349])).
% 3.13/3.32 tff(5351,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 3.13/3.32 inference(transitivity,[status(thm)],[5350, 5348])).
% 3.13/3.32 tff(5352,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))),
% 3.13/3.32 inference(quant_inst,[status(thm)],[])).
% 3.13/3.32 tff(5353,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 3.13/3.32 tff(5354,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5353, 338, 1595, 1596, 5347, 1564, 5189])).
% 3.13/3.32 tff(5355,plain,((~r(elem!1, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~r(elem!1, z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(5356,plain,
% 3.13/3.32 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5355, 5345, 234, 1595, 1596, 5338])).
% 3.13/3.32 tff(5357,plain,
% 3.13/3.32 (r(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1515, 5356, 1501])).
% 3.13/3.32 tff(5358,plain,
% 3.13/3.32 (~r(s(z), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3055, 5357, 5315])).
% 3.13/3.32 tff(5359,plain,
% 3.13/3.32 (b(s(z), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1870, 5358])).
% 3.13/3.32 tff(5360,plain,
% 3.13/3.32 (~b(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1888, 5359, 1851, 1595, 1596])).
% 3.13/3.32 tff(5361,plain,
% 3.13/3.32 (r(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[26, 5360])).
% 3.13/3.32 tff(5362,plain,
% 3.13/3.32 (~r(s(s(s(s(elem!1)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2249, 5361, 762, 5300, 749, 5302, 165])).
% 3.13/3.32 tff(5363,plain,
% 3.13/3.32 (b(s(s(s(s(elem!1)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1638, 5362])).
% 3.13/3.32 tff(5364,plain,
% 3.13/3.32 (~b(z, s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2216, 5363, 1596, 1595, 5304])).
% 3.13/3.32 tff(5365,plain,
% 3.13/3.32 (r(z, s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1698, 5364])).
% 3.13/3.32 tff(5366,plain,
% 3.13/3.32 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1686, 5365, 165])).
% 3.13/3.32 tff(5367,plain,
% 3.13/3.32 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1651, 5366, 1491])).
% 3.13/3.32 tff(5368,plain,
% 3.13/3.32 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[5275])).
% 3.13/3.32 tff(5369,plain,
% 3.13/3.32 (~(elem!1 = s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[2125, 5368])).
% 3.13/3.32 tff(5370,plain,
% 3.13/3.32 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2292, 5365, 5345])).
% 3.13/3.32 tff(5371,plain,
% 3.13/3.32 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2297, 5370, 5369])).
% 3.13/3.32 tff(5372,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2247, 338, 5371, 5302, 762, 5367, 5300])).
% 3.13/3.32 tff(5373,plain,(b(s(elem!1), elem!1) | (~b(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~(s(z) = elem!1)) | r(s(s(s(elem!1))), s(z)) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (elem!1 = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(5374,plain,
% 3.13/3.32 (b(s(elem!1), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5373, 5273, 162, 5270, 5258, 749, 5268, 5253, 5267, 5266, 5265, 5263, 5262])).
% 3.13/3.32 tff(5375,plain,
% 3.13/3.32 (r(elem!1, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5175, 5374, 5261, 5260, 5254, 162, 1270, 2582])).
% 3.13/3.32 tff(5376,plain,
% 3.13/3.32 (b(s(s(elem!1)), elem!1)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[327, 5254, 1447])).
% 3.13/3.32 tff(5377,plain,
% 3.13/3.32 (~(s(elem!1) = s(s(elem!1)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1786, 5246])).
% 3.13/3.32 tff(5378,plain,
% 3.13/3.32 (~r(z, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[243, 5375, 5253])).
% 3.13/3.32 tff(5379,plain,
% 3.13/3.32 (b(z, s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1615, 5378])).
% 3.13/3.32 tff(5380,plain,
% 3.13/3.32 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1829, 5379, 162, 5374, 5377, 5270, 5376, 5258])).
% 3.13/3.32 tff(5381,plain,
% 3.13/3.32 (r(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1971, 5380, 1485])).
% 3.13/3.32 tff(5382,plain,
% 3.13/3.32 (~r(elem!1, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1966, 5381, 5375])).
% 3.13/3.32 tff(5383,plain,
% 3.13/3.32 (b(elem!1, s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1946, 5382, 5266])).
% 3.13/3.32 tff(5384,plain,
% 3.13/3.32 (~b(elem!1, z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5201, 5383, 5267, 5258, 5270])).
% 3.13/3.32 tff(5385,plain,
% 3.13/3.32 (r(elem!1, z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[846, 5384, 5341])).
% 3.13/3.32 tff(5386,plain,
% 3.13/3.32 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5355, 5385, 5253, 5258, 5270, 5375])).
% 3.13/3.32 tff(5387,plain,
% 3.13/3.32 (r(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1515, 5386, 1501])).
% 3.13/3.32 tff(5388,plain,
% 3.13/3.32 (s(elem!1) = s(s(z))),
% 3.13/3.32 inference(symmetry,[status(thm)],[869])).
% 3.13/3.33 tff(5389,plain,
% 3.13/3.33 (r(s(elem!1), s(s(elem!1))) <=> r(s(s(z)), s(s(s(z))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5388, 1345])).
% 3.13/3.33 tff(5390,plain,
% 3.13/3.33 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.13/3.33 inference(symmetry,[status(thm)],[5389])).
% 3.13/3.33 tff(5391,plain,
% 3.13/3.33 (r(s(elem!1), s(s(elem!1)))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[487, 5390])).
% 3.13/3.33 tff(5392,plain,
% 3.13/3.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5393,plain,
% 3.13/3.33 (((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1)))))) <=> ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5394,plain,
% 3.13/3.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1))))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5393])).
% 3.13/3.33 tff(5395,plain,
% 3.13/3.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[5394, 5392])).
% 3.13/3.33 tff(5396,plain,
% 3.13/3.33 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.13/3.33 inference(quant_inst,[status(thm)],[])).
% 3.13/3.33 tff(5397,plain,
% 3.13/3.33 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1))))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[5396, 5395])).
% 3.13/3.33 tff(5398,plain,
% 3.13/3.33 (~r(s(elem!1), s(s(elem!1)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5397, 82, 1294, 1502])).
% 3.13/3.33 tff(5399,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5398, 5391])).
% 3.13/3.33 tff(5400,plain,((~r(s(s(z)), s(s(s(z))))) | (~(s(z) = elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5401,plain,
% 3.13/3.33 (~r(s(s(z)), s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5400, 5387, 749, 5248])).
% 3.13/3.33 tff(5402,plain,
% 3.13/3.33 (b(s(s(z)), s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[534, 5401])).
% 3.13/3.33 tff(5403,plain,
% 3.13/3.33 (b(s(elem!1), s(s(elem!1)))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[5402, 1349])).
% 3.13/3.33 tff(5404,plain,
% 3.13/3.33 (~r(s(s(elem!1)), s(elem!1))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2048, 5381, 5248])).
% 3.13/3.33 tff(5405,plain,
% 3.13/3.33 (b(s(s(elem!1)), s(elem!1))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[277, 5404, 5246])).
% 3.13/3.33 tff(5406,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1839, 338, 5376, 5273, 5405, 5374, 5403])).
% 3.13/3.33 tff(5407,plain,((~(s(z) = elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(z, elem!1) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5408,plain,
% 3.13/3.33 (~(s(z) = elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5407, 177, 2582, 1270, 140, 2581])).
% 3.13/3.33 tff(5409,plain,
% 3.13/3.33 (r(s(z), elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[701, 5408, 1318])).
% 3.13/3.33 tff(5410,plain,
% 3.13/3.33 (s(s(elem!1)) = s(elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1280, 5222])).
% 3.13/3.33 tff(5411,plain,
% 3.13/3.33 (s(s(s(elem!1))) = s(elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[224, 5410])).
% 3.13/3.33 tff(5412,plain,
% 3.13/3.33 (s(elem!1) = s(s(s(elem!1)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[217, 5411])).
% 3.13/3.33 tff(5413,plain,
% 3.13/3.33 (s(s(elem!1)) = elem!1),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[209, 5412])).
% 3.13/3.33 tff(5414,plain,
% 3.13/3.33 (elem!1 = s(s(elem!1))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[196, 5413])).
% 3.13/3.33 tff(5415,plain,
% 3.13/3.33 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.13/3.33 inference(transitivity,[status(thm)],[1013, 1921])).
% 3.13/3.33 tff(5416,plain,
% 3.13/3.33 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(elem!1))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5415])).
% 3.13/3.33 tff(5417,plain,
% 3.13/3.33 (inj_0(s(s(s(elem!1)))) = inj_0(s(s(s(s(z)))))),
% 3.13/3.33 inference(symmetry,[status(thm)],[5416])).
% 3.13/3.33 tff(5418,plain,
% 3.13/3.33 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.13/3.33 inference(transitivity,[status(thm)],[4013, 1414, 205, 5417, 44])).
% 3.13/3.33 tff(5419,plain,
% 3.13/3.33 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.13/3.33 inference(monotonicity,[status(thm)],[4013])).
% 3.13/3.33 tff(5420,plain,
% 3.13/3.33 (s(elem!1) = s(s(s(s(elem!1))))),
% 3.13/3.33 inference(symmetry,[status(thm)],[5419])).
% 3.13/3.33 tff(5421,plain,
% 3.13/3.33 ((s(elem!1) = s(z)) <=> (s(s(s(s(elem!1)))) = s(z))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5420])).
% 3.13/3.33 tff(5422,plain,
% 3.13/3.33 ((s(elem!1) = s(z)) <=> (s(z) = s(s(s(s(elem!1)))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[5421, 2123])).
% 3.13/3.33 tff(5423,plain,
% 3.13/3.33 ((s(z) = s(s(s(s(elem!1))))) <=> (s(elem!1) = s(z))),
% 3.13/3.33 inference(symmetry,[status(thm)],[5422])).
% 3.13/3.33 tff(5424,plain,
% 3.13/3.33 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(s(elem!1) = s(z)))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5423])).
% 3.13/3.33 tff(5425,plain,
% 3.13/3.33 (~(s(elem!1) = s(z))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[2125, 5424])).
% 3.13/3.33 tff(5426,plain,
% 3.13/3.33 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3121, 5425])).
% 3.13/3.33 tff(5427,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5426, 5418])).
% 3.13/3.33 tff(5428,plain,((~(s(s(s(s(z)))) = elem!1)) | (~(elem!1 = s(s(elem!1)))) | (~(elem!1 = s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5429,plain,
% 3.13/3.33 (~(s(s(s(s(z)))) = elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5428, 5414, 3380])).
% 3.13/3.33 tff(5430,plain,
% 3.13/3.33 (b(s(s(s(elem!1))), s(z)) <=> b(elem!1, s(z))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[2143])).
% 3.13/3.33 tff(5431,assumption,(b(s(s(s(elem!1))), s(z))), introduced(assumption)).
% 3.13/3.33 tff(5432,plain,
% 3.13/3.33 (b(elem!1, s(z))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 3.13/3.33 tff(5433,plain,
% 3.13/3.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5434,plain,
% 3.13/3.33 (((~r(z, s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(elem!1))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5435,plain,
% 3.13/3.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1)))))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5434])).
% 3.13/3.33 tff(5436,plain,
% 3.13/3.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1))))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[5435, 5433])).
% 3.13/3.33 tff(5437,plain,
% 3.13/3.33 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), z)))),
% 3.13/3.33 inference(quant_inst,[status(thm)],[])).
% 3.13/3.33 tff(5438,plain,
% 3.13/3.33 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1)))))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 3.13/3.33 tff(5439,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5438, 82, 1353, 1854, 405])).
% 3.13/3.33 tff(5440,plain,((~r(z, s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5441,plain,
% 3.13/3.33 (~r(s(z), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5440, 5220, 3046])).
% 3.13/3.33 tff(5442,plain,
% 3.13/3.33 (b(s(z), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[26, 5441])).
% 3.13/3.33 tff(5443,plain,
% 3.13/3.33 (~(elem!1 = z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3104, 5442, 1318])).
% 3.13/3.33 tff(5444,plain,
% 3.13/3.33 (~(z = elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2752, 5443])).
% 3.13/3.33 tff(5445,plain,
% 3.13/3.33 (r(z, elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[353, 5444, 177])).
% 3.13/3.33 tff(5446,plain,
% 3.13/3.33 (elem!1 = s(s(elem!1))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[196, 1284])).
% 3.13/3.33 tff(5447,plain,
% 3.13/3.33 (~(s(s(s(s(z)))) = elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5428, 5446, 3380])).
% 3.13/3.33 tff(5448,plain,
% 3.13/3.33 (s(elem!1) = s(s(elem!1))),
% 3.13/3.33 inference(symmetry,[status(thm)],[219])).
% 3.13/3.33 tff(5449,plain,
% 3.13/3.33 (inj_0(s(elem!1)) = inj_0(s(s(elem!1)))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5448])).
% 3.13/3.33 tff(5450,plain,
% 3.13/3.33 (elem!1 = inj_0(s(elem!1))),
% 3.13/3.33 inference(symmetry,[status(thm)],[199])).
% 3.13/3.33 tff(5451,plain,
% 3.13/3.33 (elem!1 = s(elem!1)),
% 3.13/3.33 inference(transitivity,[status(thm)],[5450, 5449, 181])).
% 3.13/3.33 tff(5452,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[246, 5451])).
% 3.13/3.33 tff(5453,plain,((~(s(s(elem!1)) = s(elem!1))) | (elem!1 = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5454,plain,
% 3.13/3.33 (elem!1 = s(elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5453, 1281])).
% 3.13/3.33 tff(5455,plain,
% 3.13/3.33 (s(s(s(z))) = s(elem!1)),
% 3.13/3.33 inference(transitivity,[status(thm)],[1053, 226])).
% 3.13/3.33 tff(5456,plain,
% 3.13/3.33 (s(s(elem!1)) = s(elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[231, 226])).
% 3.13/3.33 tff(5457,plain,
% 3.13/3.33 (s(elem!1) = s(s(s(z)))),
% 3.13/3.33 inference(symmetry,[status(thm)],[3983])).
% 3.13/3.33 tff(5458,plain,
% 3.13/3.33 (s(elem!1) = s(s(s(elem!1)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[217, 1340])).
% 3.13/3.33 tff(5459,plain,
% 3.13/3.33 (s(s(elem!1)) = elem!1),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[209, 5458])).
% 3.13/3.33 tff(5460,plain,
% 3.13/3.33 (elem!1 = s(s(elem!1))),
% 3.13/3.33 inference(symmetry,[status(thm)],[5459])).
% 3.13/3.33 tff(5461,plain,
% 3.13/3.33 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[3983])).
% 3.13/3.33 tff(5462,plain,
% 3.13/3.33 (s(s(z)) = s(s(s(z)))),
% 3.13/3.33 inference(transitivity,[status(thm)],[53, 5461, 199, 5460, 219, 5457])).
% 3.13/3.33 tff(5463,assumption,(~(s(s(z)) = s(s(s(z))))), introduced(assumption)).
% 3.13/3.33 tff(5464,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5463, 5462])).
% 3.13/3.33 tff(5465,plain,((~(s(s(s(z))) = s(elem!1))) | (s(s(z)) = s(s(s(z)))) | (~(s(s(elem!1)) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5466,plain,
% 3.13/3.33 ((~(s(s(s(z))) = s(elem!1))) | (~(s(s(elem!1)) = s(elem!1)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5465, 529])).
% 3.13/3.33 tff(5467,plain,
% 3.13/3.33 (~(s(s(s(z))) = s(elem!1))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5466, 5456])).
% 3.13/3.33 tff(5468,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5467, 5455])).
% 3.13/3.33 tff(5469,plain,((~(s(s(s(z))) = elem!1)) | (~(elem!1 = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5470,plain,
% 3.13/3.33 (~(s(s(s(z))) = elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5469, 5454])).
% 3.13/3.33 tff(5471,plain,
% 3.13/3.33 (b(s(s(s(z))), elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1110, 5470, 3373])).
% 3.13/3.33 tff(5472,plain,
% 3.13/3.33 (s(elem!1) = s(s(elem!1))),
% 3.13/3.33 inference(symmetry,[status(thm)],[1281])).
% 3.13/3.33 tff(5473,plain,
% 3.13/3.33 (s(elem!1) = elem!1),
% 3.13/3.33 inference(transitivity,[status(thm)],[5472, 1275, 2143])).
% 3.13/3.33 tff(5474,plain,
% 3.13/3.33 (r(s(elem!1), z) <=> r(elem!1, z)),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5473])).
% 3.13/3.33 tff(5475,plain,
% 3.13/3.33 (r(elem!1, z) <=> r(s(elem!1), z)),
% 3.13/3.33 inference(symmetry,[status(thm)],[5474])).
% 3.13/3.33 tff(5476,plain,
% 3.13/3.33 (r(s(elem!1), z)),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[802, 5475])).
% 3.13/3.33 tff(5477,plain,
% 3.13/3.33 (b(s(elem!1), s(z)) <=> b(elem!1, s(z))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5473])).
% 3.13/3.33 tff(5478,plain,
% 3.13/3.33 (b(elem!1, s(z)) <=> b(s(elem!1), s(z))),
% 3.13/3.33 inference(symmetry,[status(thm)],[5477])).
% 3.13/3.33 tff(5479,plain,
% 3.13/3.33 (b(s(elem!1), s(z))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[831, 5478])).
% 3.13/3.33 tff(5480,plain,
% 3.13/3.33 (s(s(s(z))) = elem!1),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[1040, 1051])).
% 3.13/3.33 tff(5481,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1103, 5480])).
% 3.13/3.33 tff(5482,plain,((~(elem!1 = s(s(s(z))))) | (s(s(s(z))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5483,plain,
% 3.13/3.33 (~(elem!1 = s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5482, 5470])).
% 3.13/3.33 tff(5484,plain,
% 3.13/3.33 (~r(elem!1, s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3408, 802, 754, 234, 1740])).
% 3.13/3.33 tff(5485,plain,
% 3.13/3.33 (b(elem!1, s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1160, 5484, 5483])).
% 3.13/3.33 tff(5486,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3417, 108, 754])).
% 3.13/3.33 tff(5487,plain,
% 3.13/3.33 (b(s(s(s(s(z)))), elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1144, 5486, 1039])).
% 3.13/3.33 tff(5488,plain,
% 3.13/3.33 (~r(s(z), s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3449, 108, 72, 754, 1130, 1050, 2380])).
% 3.13/3.33 tff(5489,plain,
% 3.13/3.33 (b(s(z), s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[424, 5488])).
% 3.13/3.33 tff(5490,plain,
% 3.13/3.33 (~b(s(s(s(z))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[4890, 5489, 1740, 3993, 1815, 486, 3084])).
% 3.13/3.33 tff(5491,plain,
% 3.13/3.33 (r(s(s(s(z))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[437, 5490])).
% 3.13/3.33 tff(5492,plain,
% 3.13/3.33 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2959, 5491, 72])).
% 3.13/3.33 tff(5493,plain,
% 3.13/3.33 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[689, 5492])).
% 3.13/3.33 tff(5494,plain,
% 3.13/3.33 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2389, 5493, 2380, 1130, 2381])).
% 3.13/3.33 tff(5495,plain,
% 3.13/3.33 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1011, 5494])).
% 3.13/3.33 tff(5496,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2880, 82, 5495, 108, 5491])).
% 3.13/3.33 tff(5497,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (s(s(s(z))) = s(elem!1)) | (~r(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~r(s(z), elem!1)) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5498,plain,
% 3.13/3.33 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5497, 5487, 1740, 2381, 2380, 3084, 3993, 1815, 486, 108, 754, 1050])).
% 3.13/3.33 tff(5499,plain,
% 3.13/3.33 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[106, 5498])).
% 3.13/3.33 tff(5500,plain,
% 3.13/3.33 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2389, 5487, 2380, 987, 2381])).
% 3.13/3.33 tff(5501,plain,
% 3.13/3.33 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[689, 5500])).
% 3.13/3.33 tff(5502,plain,
% 3.13/3.33 (~r(s(s(s(z))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3708, 5501, 108])).
% 3.13/3.33 tff(5503,plain,
% 3.13/3.33 (b(s(s(s(z))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[437, 5502])).
% 3.13/3.33 tff(5504,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5505,plain,
% 3.13/3.33 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5506,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5505])).
% 3.13/3.33 tff(5507,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[5506, 5504])).
% 3.13/3.33 tff(5508,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.13/3.33 inference(quant_inst,[status(thm)],[])).
% 3.13/3.33 tff(5509,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[5508, 5507])).
% 3.13/3.33 tff(5510,plain,
% 3.13/3.33 ((~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5509, 338, 486, 1740, 458, 175])).
% 3.13/3.33 tff(5511,plain,
% 3.13/3.33 (~b(s(s(s(z))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5510, 651])).
% 3.13/3.33 tff(5512,plain,
% 3.13/3.33 (r(s(s(s(z))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[135, 5511])).
% 3.13/3.33 tff(5513,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5514,plain,
% 3.13/3.33 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z)))))) <=> ((~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5515,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5514])).
% 3.13/3.33 tff(5516,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[5515, 5513])).
% 3.13/3.33 tff(5517,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))),
% 3.13/3.33 inference(quant_inst,[status(thm)],[])).
% 3.13/3.33 tff(5518,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[5517, 5516])).
% 3.13/3.33 tff(5519,plain,
% 3.13/3.33 ((~b(elem!1, s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5518, 338, 1740, 458, 831, 175])).
% 3.13/3.33 tff(5520,plain,
% 3.13/3.33 (~b(elem!1, s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5519, 651])).
% 3.13/3.33 tff(5521,plain,
% 3.13/3.33 (r(elem!1, s(s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1160, 5520, 1050])).
% 3.13/3.33 tff(5522,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3397, 5521, 5512, 802])).
% 3.13/3.33 tff(5523,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(elem!1, z)) | (elem!1 = s(s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5524,plain,
% 3.13/3.33 (~b(s(s(s(s(z)))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5523, 5503, 1740, 831, 1050, 802, 5499, 486])).
% 3.13/3.33 tff(5525,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[4092, 5503, 486, 2381, 5487, 987, 2380])).
% 3.13/3.33 tff(5526,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[127, 5525, 5524])).
% 3.13/3.33 tff(5527,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (elem!1 = s(s(s(z)))) | (~r(elem!1, z)) | (~b(s(elem!1), s(z))) | (s(s(s(z))) = s(elem!1)) | (~r(s(elem!1), z)) | (~r(s(z), elem!1)) | (s(s(s(s(z)))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(5528,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5527, 987, 2381, 486, 2380, 1740, 831, 1050, 802, 3084, 3993, 1815, 754, 1039])).
% 3.13/3.33 tff(5529,plain,
% 3.13/3.33 (b(s(s(s(s(z)))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[119, 5528])).
% 3.13/3.33 tff(5530,plain,
% 3.13/3.33 (~b(s(s(s(s(z)))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3284, 5529, 486, 1740, 1414, 2380, 754])).
% 3.13/3.33 tff(5531,plain,
% 3.13/3.33 (r(s(s(s(s(z)))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[127, 5530])).
% 3.13/3.33 tff(5532,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3581, 82, 802, 5531])).
% 3.13/3.33 tff(5533,plain,
% 3.13/3.33 (b(s(s(s(s(z)))), elem!1)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1144, 5532, 1039])).
% 3.13/3.33 tff(5534,plain,
% 3.13/3.33 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2389, 5533, 2380, 987, 2381])).
% 3.13/3.33 tff(5535,plain,
% 3.13/3.33 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[689, 5534])).
% 3.13/3.33 tff(5536,plain,
% 3.13/3.33 (~b(s(s(s(z))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[4092, 5533, 486, 2381, 5531, 987, 2380])).
% 3.13/3.33 tff(5537,plain,
% 3.13/3.33 (r(s(s(s(z))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[437, 5536])).
% 3.13/3.33 tff(5538,plain,
% 3.13/3.33 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2959, 5537, 5535])).
% 3.13/3.33 tff(5539,plain,
% 3.13/3.33 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[106, 5538])).
% 3.13/3.33 tff(5540,plain,
% 3.13/3.33 (~r(elem!1, s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3590, 82, 802, 5531])).
% 3.13/3.33 tff(5541,plain,
% 3.13/3.33 (b(elem!1, s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1094, 5540, 1063])).
% 3.13/3.33 tff(5542,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5543,plain,
% 3.13/3.33 (((~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(5544,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[5543])).
% 3.13/3.33 tff(5545,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[5544, 5542])).
% 3.13/3.33 tff(5546,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.13/3.33 inference(quant_inst,[status(thm)],[])).
% 3.13/3.33 tff(5547,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 3.13/3.33 tff(5548,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5547, 338, 5541, 2380, 831, 987, 5539, 5533])).
% 3.13/3.33 tff(5549,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(elem!1, s(z))) | (~b(z, s(z))) | (~b(elem!1, s(s(s(z))))) | (s(s(s(s(z)))) = elem!1) | (~r(elem!1, z)) | (~b(s(z), z)) | (~(elem!1 = s(s(elem!1)))) | (~r(s(z), elem!1)) | (elem!1 = s(s(s(z)))) | (~b(s(elem!1), s(z))) | (s(s(s(z))) = s(elem!1)) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(5550,plain,
% 3.13/3.34 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5549, 5485, 831, 3194, 5471, 5447, 802, 1740, 5446, 754, 5483, 5479, 3986, 5476])).
% 3.13/3.34 tff(5551,plain,
% 3.13/3.34 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1011, 5550])).
% 3.13/3.34 tff(5552,plain,
% 3.13/3.34 (~r(s(z), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3437, 1038, 108])).
% 3.13/3.34 tff(5553,plain,
% 3.13/3.34 (b(s(z), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[424, 5552])).
% 3.13/3.34 tff(5554,plain,
% 3.13/3.34 (~b(s(s(s(z))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[4890, 5553, 1740, 3993, 1815, 486, 3084])).
% 3.13/3.34 tff(5555,plain,
% 3.13/3.34 (r(s(s(s(z))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[437, 5554])).
% 3.13/3.34 tff(5556,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[2880, 82, 1038, 108, 5555])).
% 3.13/3.34 tff(5557,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (s(s(s(z))) = s(elem!1)) | (~r(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(5558,plain,
% 3.13/3.34 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5557, 5551, 3194, 3986, 5479, 1740, 5476])).
% 3.13/3.34 tff(5559,plain,
% 3.13/3.34 (b(s(s(s(s(z)))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[119, 5558])).
% 3.13/3.34 tff(5560,plain,
% 3.13/3.34 (~b(s(s(s(s(z)))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3284, 5559, 3194, 1740, 5446, 5471, 754])).
% 3.13/3.34 tff(5561,plain,
% 3.13/3.34 (r(s(s(s(s(z)))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[127, 5560])).
% 3.13/3.34 tff(5562,plain,
% 3.13/3.34 (~r(s(s(s(s(z)))), elem!1)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3581, 82, 802, 5561])).
% 3.13/3.34 tff(5563,plain,
% 3.13/3.34 (b(s(s(s(s(z)))), elem!1)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1144, 5562, 5447])).
% 3.13/3.34 tff(5564,plain,
% 3.13/3.34 (~r(z, s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1127, 5561, 5551])).
% 3.13/3.34 tff(5565,plain,
% 3.13/3.34 (b(z, s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[149, 5564])).
% 3.13/3.34 tff(5566,plain,
% 3.13/3.34 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), elem!1)),
% 3.13/3.34 inference(monotonicity,[status(thm)],[5473])).
% 3.13/3.34 tff(5567,plain,
% 3.13/3.34 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.13/3.34 inference(symmetry,[status(thm)],[5566])).
% 3.13/3.34 tff(5568,plain,
% 3.13/3.34 (b(s(s(s(s(z)))), s(elem!1))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[5563, 5567])).
% 3.13/3.34 tff(5569,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5570,plain,
% 3.13/3.34 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5571,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[5570])).
% 3.13/3.34 tff(5572,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[5571, 5569])).
% 3.13/3.34 tff(5573,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(5574,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[5573, 5572])).
% 3.13/3.34 tff(5575,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5574, 338, 457, 1740, 3348, 3084, 2911, 3663])).
% 3.13/3.34 tff(5576,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(5577,plain,
% 3.13/3.34 (~b(s(z), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5576, 5568, 1740, 5559, 5479, 5565])).
% 3.13/3.34 tff(5578,plain,
% 3.13/3.34 (r(s(z), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[424, 5577])).
% 3.13/3.34 tff(5579,plain,
% 3.13/3.34 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[4106, 5578, 5551])).
% 3.13/3.34 tff(5580,plain,
% 3.13/3.34 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[106, 5579])).
% 3.13/3.34 tff(5581,plain,
% 3.13/3.34 (~(elem!1 = s(s(s(s(z)))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1062, 5447])).
% 3.13/3.34 tff(5582,plain,
% 3.13/3.34 (~r(elem!1, s(s(s(s(z)))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3590, 82, 802, 5561])).
% 3.13/3.34 tff(5583,plain,
% 3.13/3.34 (b(elem!1, s(s(s(s(z)))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1094, 5582, 5581])).
% 3.13/3.34 tff(5584,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5585,plain,
% 3.13/3.34 (((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5586,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[5585])).
% 3.13/3.34 tff(5587,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[5586, 5584])).
% 3.13/3.34 tff(5588,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(5589,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[5588, 5587])).
% 3.13/3.34 tff(5590,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5589, 338, 5583, 831, 5580, 5559, 5563])).
% 3.13/3.34 tff(5591,plain,((~r(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(z), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(z), elem!1)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(5592,plain,
% 3.13/3.34 (~r(elem!1, z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5591, 5432, 5442, 5222, 2143, 754, 5445])).
% 3.13/3.34 tff(5593,plain,
% 3.13/3.34 (b(elem!1, z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[846, 5592, 5443])).
% 3.13/3.34 tff(5594,plain,
% 3.13/3.34 (~b(s(s(s(s(z)))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3284, 2911, 3194, 1740, 5446, 5471, 754])).
% 3.13/3.34 tff(5595,plain,
% 3.13/3.34 (r(s(s(s(s(z)))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[127, 5594])).
% 3.13/3.34 tff(5596,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3289, 82, 234, 1147, 1122])).
% 3.13/3.34 tff(5597,plain,((~r(s(s(s(s(z)))), elem!1)) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(5598,plain,
% 3.13/3.34 (~r(s(s(s(s(z)))), elem!1)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5597, 5595, 234])).
% 3.13/3.34 tff(5599,plain,
% 3.13/3.34 (b(s(s(s(s(z)))), elem!1)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1144, 5598, 5447])).
% 3.13/3.34 tff(5600,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5601,plain,
% 3.13/3.34 (((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5602,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[5601])).
% 3.13/3.34 tff(5603,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.34 inference(transitivity,[status(thm)],[5602, 5600])).
% 3.13/3.34 tff(5604,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(5605,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 3.13/3.34 tff(5606,plain,
% 3.13/3.34 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5605, 338, 1131, 1740, 5471, 831, 5599])).
% 3.13/3.34 tff(5607,plain,
% 3.13/3.34 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1011, 5606])).
% 3.13/3.34 tff(5608,plain,
% 3.13/3.34 (~r(z, s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1127, 5607, 5595])).
% 3.13/3.34 tff(5609,plain,
% 3.13/3.34 (b(z, s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[149, 5608])).
% 3.13/3.34 tff(5610,plain,
% 3.13/3.34 (b(s(s(s(s(z)))), s(elem!1))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[5599, 5567])).
% 3.13/3.34 tff(5611,plain,
% 3.13/3.34 (~b(s(z), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5576, 5609, 1740, 2911, 5479, 5610])).
% 3.13/3.34 tff(5612,plain,
% 3.13/3.34 (r(s(z), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[424, 5611])).
% 3.13/3.34 tff(5613,plain,
% 3.13/3.34 (~r(s(s(z)), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3886, 5612, 5607, 2911])).
% 3.13/3.34 tff(5614,plain,
% 3.13/3.34 (b(s(s(z)), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[534, 5613])).
% 3.13/3.34 tff(5615,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5616,plain,
% 3.13/3.34 (((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5617,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z)))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[5616])).
% 3.13/3.34 tff(5618,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[5617, 5615])).
% 3.13/3.34 tff(5619,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(5620,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 3.13/3.34 tff(5621,plain,
% 3.13/3.34 (~b(z, s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5620, 338, 1131, 5614, 1740, 5609, 831])).
% 3.13/3.34 tff(5622,plain,
% 3.13/3.34 (r(z, s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[563, 5621])).
% 3.13/3.34 tff(5623,plain,
% 3.13/3.34 (~(elem!1 = s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3370, 5446, 1272])).
% 3.13/3.34 tff(5624,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5625,plain,
% 3.13/3.34 (((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5626,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[5625])).
% 3.13/3.34 tff(5627,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.13/3.34 inference(transitivity,[status(thm)],[5626, 5624])).
% 3.13/3.34 tff(5628,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(5629,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 3.13/3.34 tff(5630,plain,
% 3.13/3.34 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5629, 338, 1131, 1740, 5471, 831, 5599])).
% 3.13/3.34 tff(5631,plain,
% 3.13/3.34 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[689, 5630])).
% 3.13/3.34 tff(5632,plain,
% 3.13/3.34 (~r(s(s(s(z))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3603, 5631, 5595])).
% 3.13/3.34 tff(5633,plain,
% 3.13/3.34 (b(s(s(s(z))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[135, 5632])).
% 3.13/3.34 tff(5634,plain,
% 3.13/3.34 (~b(s(s(z)), s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3914, 71, 1741, 1122, 4124])).
% 3.13/3.34 tff(5635,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[534, 5634, 1458])).
% 3.13/3.34 tff(5636,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(5637,plain,
% 3.13/3.34 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5636, 5633, 5607, 5595])).
% 3.13/3.34 tff(5638,plain,
% 3.13/3.34 (b(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[68, 5637])).
% 3.13/3.34 tff(5639,plain,
% 3.13/3.34 (~r(elem!1, s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3345, 5612, 754])).
% 3.13/3.34 tff(5640,plain,
% 3.13/3.34 (b(elem!1, s(s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1160, 5639, 5483])).
% 3.13/3.34 tff(5641,plain,
% 3.13/3.34 (~b(elem!1, s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[4156, 5640, 5623, 234, 5638, 5599, 5614, 5609])).
% 3.13/3.34 tff(5642,plain,
% 3.13/3.34 (r(elem!1, s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[2442, 5641, 5623])).
% 3.13/3.34 tff(5643,plain,
% 3.13/3.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(z)))) | (~r(elem!1, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5644,plain,
% 3.13/3.34 (((~r(elem!1, s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, elem!1))) <=> ((~r(z, elem!1)) | (~r(z, s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(5645,plain,
% 3.13/3.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(z)))) | (~r(elem!1, s(s(z))))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[5644])).
% 3.13/3.34 tff(5646,plain,
% 3.13/3.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[5645, 5643])).
% 3.13/3.34 tff(5647,plain,
% 3.13/3.34 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, elem!1)))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(5648,plain,
% 3.13/3.34 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(z)))) | (~r(elem!1, s(s(z))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 3.13/3.34 tff(5649,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5648, 82, 234, 5642, 5622])).
% 3.13/3.34 tff(5650,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(z, elem!1)) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~r(s(z), elem!1)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5651,plain,
% 3.13/3.35 (~b(s(s(s(s(z)))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5650, 5445, 5593, 5442, 5432, 754, 5222, 2143])).
% 3.13/3.35 tff(5652,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[119, 5651])).
% 3.13/3.35 tff(5653,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3417, 5652, 754])).
% 3.13/3.35 tff(5654,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1144, 5653, 5429])).
% 3.13/3.35 tff(5655,plain,
% 3.13/3.35 (~r(s(s(s(z))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3164, 5445, 754])).
% 3.13/3.35 tff(5656,plain,
% 3.13/3.35 (elem!1 = s(elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5453, 5410])).
% 3.13/3.35 tff(5657,plain,
% 3.13/3.35 (~(s(s(s(z))) = elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5469, 5656])).
% 3.13/3.35 tff(5658,plain,
% 3.13/3.35 (b(s(s(s(z))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1110, 5657, 5655])).
% 3.13/3.35 tff(5659,plain,
% 3.13/3.35 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5605, 338, 5593, 5442, 5658, 5432, 5654])).
% 3.13/3.35 tff(5660,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1011, 5659])).
% 3.13/3.35 tff(5661,plain,
% 3.13/3.35 (~r(z, s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3145, 5445, 754])).
% 3.13/3.35 tff(5662,plain,
% 3.13/3.35 (b(z, s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[403, 5661])).
% 3.13/3.35 tff(5663,plain,
% 3.13/3.35 (~r(s(z), s(s(s(z))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3437, 5660, 5652])).
% 3.13/3.35 tff(5664,plain,
% 3.13/3.35 (b(s(z), s(s(s(z))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[424, 5663])).
% 3.13/3.35 tff(5665,plain,
% 3.13/3.35 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5629, 338, 5593, 5442, 5658, 5432, 5654])).
% 3.13/3.35 tff(5666,plain,
% 3.13/3.35 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[689, 5665])).
% 3.13/3.35 tff(5667,plain,
% 3.13/3.35 (~r(s(s(s(z))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3708, 5666, 5652])).
% 3.13/3.35 tff(5668,plain,
% 3.13/3.35 (b(s(s(s(z))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[437, 5667])).
% 3.13/3.35 tff(5669,plain,
% 3.13/3.35 (~b(z, s(s(s(z))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3356, 5668, 5442, 5664, 5662])).
% 3.13/3.35 tff(5670,plain,
% 3.13/3.35 (r(z, s(s(s(z))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[149, 5669])).
% 3.13/3.35 tff(5671,plain,
% 3.13/3.35 (~r(z, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1119, 5670, 5660])).
% 3.13/3.35 tff(5672,plain,
% 3.13/3.35 (b(z, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[391, 5671])).
% 3.13/3.35 tff(5673,plain,
% 3.13/3.35 (~b(s(s(s(z))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1749, 5668, 5442, 5664, 5662])).
% 3.13/3.35 tff(5674,plain,
% 3.13/3.35 (r(s(s(s(z))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[135, 5673])).
% 3.13/3.35 tff(5675,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3603, 5674, 5666])).
% 3.13/3.35 tff(5676,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[127, 5675])).
% 3.13/3.35 tff(5677,plain,
% 3.13/3.35 (~(elem!1 = s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1062, 5429])).
% 3.13/3.35 tff(5678,plain,
% 3.13/3.35 (~b(s(z), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3505, 5672, 5442, 5662, 5676])).
% 3.13/3.35 tff(5679,plain,
% 3.13/3.35 (r(s(z), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[106, 5678])).
% 3.13/3.35 tff(5680,plain,
% 3.13/3.35 (~r(elem!1, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3247, 5679, 754])).
% 3.13/3.35 tff(5681,plain,
% 3.13/3.35 (b(elem!1, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1094, 5680, 5677])).
% 3.13/3.35 tff(5682,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5683,plain,
% 3.13/3.35 (((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5684,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5683])).
% 3.13/3.35 tff(5685,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5684, 5682])).
% 3.13/3.35 tff(5686,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, z)))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(5687,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5686, 5685])).
% 3.13/3.35 tff(5688,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5687, 338, 5593, 5681, 5654, 5676, 5672])).
% 3.13/3.35 tff(5689,plain,((~(s(s(s(elem!1))) = elem!1)) | (~r(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | b(z, elem!1) | b(s(z), elem!1) | b(s(s(s(elem!1))), s(s(elem!1))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5690,plain,
% 3.13/3.35 (~(s(s(s(elem!1))) = elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5689, 5409, 5245, 177, 1318, 1270, 162])).
% 3.13/3.35 tff(5691,plain,
% 3.13/3.35 (r(s(elem!1), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[312, 2018, 305])).
% 3.13/3.35 tff(5692,assumption,(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))), introduced(assumption)).
% 3.13/3.35 tff(5693,plain,
% 3.13/3.35 (inj_0(s(s(s(s(s(s(elem!1))))))) = inj_0(s(s(s(elem!1))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5692])).
% 3.13/3.35 tff(5694,plain,
% 3.13/3.35 (inj_0(s(s(s(elem!1)))) = inj_0(s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5693])).
% 3.13/3.35 tff(5695,plain,
% 3.13/3.35 (s(s(elem!1)) = s(s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[205, 5694, 3177])).
% 3.13/3.35 tff(5696,plain,
% 3.13/3.35 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(s(elem!1))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5695])).
% 3.13/3.35 tff(5697,plain,
% 3.13/3.35 (s(elem!1) = s(s(s(s(elem!1))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[182, 5696, 3175])).
% 3.13/3.35 tff(5698,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1482, 5697])).
% 3.13/3.35 tff(5699,plain,((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))) | (s(elem!1) = s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5700,plain,
% 3.13/3.35 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5699, 1337])).
% 3.13/3.35 tff(5701,plain,
% 3.13/3.35 (~b(s(z), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3104, 4476, 1318])).
% 3.13/3.35 tff(5702,plain,
% 3.13/3.35 (r(s(z), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[26, 5701])).
% 3.13/3.35 tff(5703,plain,
% 3.13/3.35 (~(elem!1 = s(s(elem!1)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2638, 2636, 1270])).
% 3.13/3.35 tff(5704,plain,
% 3.13/3.35 (~(s(s(elem!1)) = elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[196, 5703])).
% 3.13/3.35 tff(5705,plain,
% 3.13/3.35 (~r(z, s(s(s(elem!1))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1361, 1294, 162])).
% 3.13/3.35 tff(5706,plain,
% 3.13/3.35 (b(z, s(s(s(elem!1))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1373, 5705])).
% 3.13/3.35 tff(5707,plain,
% 3.13/3.35 (~r(s(z), s(s(elem!1)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[4229, 5706, 1270, 140])).
% 3.13/3.35 tff(5708,plain,
% 3.13/3.35 (b(s(z), s(s(elem!1)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[743, 5707])).
% 3.13/3.35 tff(5709,plain,
% 3.13/3.35 (~r(s(s(s(elem!1))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1309, 1294, 162])).
% 3.13/3.35 tff(5710,plain,
% 3.13/3.35 (b(s(s(s(elem!1))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1387, 5709])).
% 3.13/3.35 tff(5711,assumption,(~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))), introduced(assumption)).
% 3.13/3.35 tff(5712,plain,
% 3.13/3.35 (r(elem!1, s(s(elem!1)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[162, 2836])).
% 3.13/3.35 tff(5713,plain,
% 3.13/3.35 (r(s(elem!1), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[312, 1474, 305])).
% 3.13/3.35 tff(5714,plain,
% 3.13/3.35 (b(s(s(s(elem!1))), s(z)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2806])).
% 3.13/3.35 tff(5715,plain,
% 3.13/3.35 (b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5245, 5714])).
% 3.13/3.35 tff(5716,plain,
% 3.13/3.35 (~r(elem!1, s(s(s(elem!1))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2802, 4476, 5705])).
% 3.13/3.35 tff(5717,plain,
% 3.13/3.35 (b(elem!1, s(s(s(elem!1))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1946, 5716, 1939])).
% 3.13/3.35 tff(5718,plain,
% 3.13/3.35 (r(s(s(z)), s(s(s(z)))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2807, 2808])).
% 3.13/3.35 tff(5719,plain,
% 3.13/3.35 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(z)), s(s(s(z))))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5718])).
% 3.13/3.35 tff(5720,plain,
% 3.13/3.35 (r(s(s(z)), s(s(s(z))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[2257, 5719])).
% 3.13/3.35 tff(5721,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[4450, 5720, 2636, 703, 162, 5717])).
% 3.13/3.35 tff(5722,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[68, 5721])).
% 3.13/3.35 tff(5723,plain,
% 3.13/3.35 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5722, 4474])).
% 3.13/3.35 tff(5724,plain,
% 3.13/3.35 (b(s(s(z)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2807])).
% 3.13/3.35 tff(5725,plain,
% 3.13/3.35 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5724])).
% 3.13/3.35 tff(5726,plain,
% 3.13/3.35 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2823])).
% 3.13/3.35 tff(5727,plain,
% 3.13/3.35 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5726, 5725])).
% 3.13/3.35 tff(5728,plain,
% 3.13/3.35 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[209, 5704])).
% 3.13/3.35 tff(5729,plain,
% 3.13/3.35 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[217, 5728])).
% 3.13/3.35 tff(5730,plain,
% 3.13/3.35 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1490, 5729])).
% 3.13/3.35 tff(5731,plain,
% 3.13/3.35 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1498, 5730])).
% 3.13/3.35 tff(5732,plain,
% 3.13/3.35 (b(elem!1, s(s(s(z))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5717, 2810])).
% 3.13/3.35 tff(5733,plain,
% 3.13/3.35 (b(s(s(s(z))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[4508, 703, 5710])).
% 3.13/3.35 tff(5734,plain,
% 3.13/3.35 (b(s(s(s(z))), s(z)) <=> b(s(s(s(z))), s(elem!1))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2806])).
% 3.13/3.35 tff(5735,plain,
% 3.13/3.35 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(s(z))), s(z))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5734])).
% 3.13/3.35 tff(5736,plain,
% 3.13/3.35 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2808])).
% 3.13/3.35 tff(5737,plain,
% 3.13/3.35 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(z))), s(elem!1))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5736])).
% 3.13/3.35 tff(5738,plain,
% 3.13/3.35 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(z))), s(z))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5737, 5735])).
% 3.13/3.35 tff(5739,plain,
% 3.13/3.35 (b(s(s(s(z))), s(z))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5715, 5738])).
% 3.13/3.35 tff(5740,plain,
% 3.13/3.35 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2275, 2267, 2257])).
% 3.13/3.35 tff(5741,plain,
% 3.13/3.35 (r(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2823])).
% 3.13/3.35 tff(5742,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), s(s(s(elem!1)))) <=> r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5741])).
% 3.13/3.35 tff(5743,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2808])).
% 3.13/3.35 tff(5744,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5743, 5742])).
% 3.13/3.35 tff(5745,plain,
% 3.13/3.35 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[1038, 5744])).
% 3.13/3.35 tff(5746,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1556, 5745])).
% 3.13/3.35 tff(5747,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | r(s(s(s(s(elem!1)))), s(s(s(elem!1)))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5748,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5747, 5740, 703])).
% 3.13/3.35 tff(5749,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1011, 5748])).
% 3.13/3.35 tff(5750,plain,
% 3.13/3.35 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2808])).
% 3.13/3.35 tff(5751,plain,
% 3.13/3.35 (r(s(s(s(elem!1))), s(s(s(s(z))))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5750])).
% 3.13/3.35 tff(5752,plain,
% 3.13/3.35 (r(s(s(s(z))), s(s(s(s(elem!1))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2808, 2823])).
% 3.13/3.35 tff(5753,plain,
% 3.13/3.35 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.13/3.35 inference(symmetry,[status(thm)],[2808])).
% 3.13/3.35 tff(5754,plain,
% 3.13/3.35 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5753])).
% 3.13/3.35 tff(5755,plain,
% 3.13/3.35 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5754, 5752, 5751])).
% 3.13/3.35 tff(5756,plain,
% 3.13/3.35 ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) <=> (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5755])).
% 3.13/3.35 tff(5757,assumption,(r(s(s(s(elem!1))), s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.13/3.35 tff(5758,plain,
% 3.13/3.35 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5759,plain,
% 3.13/3.35 (((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5760,plain,
% 3.13/3.35 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1))))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5759])).
% 3.13/3.35 tff(5761,plain,
% 3.13/3.35 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5760, 5758])).
% 3.13/3.35 tff(5762,plain,
% 3.13/3.35 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(5763,plain,
% 3.13/3.35 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5762, 5761])).
% 3.13/3.35 tff(5764,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5763, 82, 1294, 2267, 5757])).
% 3.13/3.35 tff(5765,plain,((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5766,plain,
% 3.13/3.35 (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5765, 2267, 1294])).
% 3.13/3.35 tff(5767,plain,
% 3.13/3.35 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5766, 5756])).
% 3.13/3.35 tff(5768,plain,
% 3.13/3.35 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[689, 5767])).
% 3.13/3.35 tff(5769,plain,
% 3.13/3.35 (~b(s(s(s(s(z)))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2389, 5768, 2380, 5749, 2381])).
% 3.13/3.35 tff(5770,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1144, 5769, 2819])).
% 3.13/3.35 tff(5771,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3417, 5770, 754])).
% 3.13/3.35 tff(5772,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[119, 5771])).
% 3.13/3.35 tff(5773,plain,
% 3.13/3.35 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2949, 5770, 754])).
% 3.13/3.35 tff(5774,plain,
% 3.13/3.35 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[106, 5773])).
% 3.13/3.35 tff(5775,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5776,plain,
% 3.13/3.35 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5777,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5776])).
% 3.13/3.35 tff(5778,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5777, 5775])).
% 3.13/3.35 tff(5779,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(5780,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 3.13/3.35 tff(5781,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5780, 338, 458, 987, 651, 2911, 539])).
% 3.13/3.35 tff(5782,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5783,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5782, 5774, 5772, 458, 5768, 5749])).
% 3.13/3.35 tff(5784,plain,((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~(z = elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5785,plain,
% 3.13/3.35 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5784, 5739, 5409, 5733, 5732, 703, 1294, 2257])).
% 3.13/3.35 tff(5786,plain,
% 3.13/3.35 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1724, 5785, 5731])).
% 3.13/3.35 tff(5787,plain,
% 3.13/3.35 (b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5786, 5727])).
% 3.13/3.35 tff(5788,plain,
% 3.13/3.35 (b(s(z), s(s(z))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2806, 2807])).
% 3.13/3.35 tff(5789,plain,
% 3.13/3.35 (b(s(elem!1), s(s(elem!1))) <=> b(s(z), s(s(z)))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5788])).
% 3.13/3.35 tff(5790,plain,
% 3.13/3.35 (r(s(elem!1), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2759, 4476, 5713])).
% 3.13/3.35 tff(5791,plain,
% 3.13/3.35 (b(s(elem!1), s(s(elem!1)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2779, 5790, 162, 5713, 177])).
% 3.13/3.35 tff(5792,plain,
% 3.13/3.35 (b(s(z), s(s(z)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5791, 5789])).
% 3.13/3.35 tff(5793,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5794,plain,
% 3.13/3.35 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5795,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5794])).
% 3.13/3.35 tff(5796,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5795, 5793])).
% 3.13/3.35 tff(5797,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(5798,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 3.13/3.35 tff(5799,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5798, 338, 651, 474, 2911, 540, 600])).
% 3.13/3.35 tff(5800,plain,((~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5801,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5800, 4810, 4808, 474, 540, 600])).
% 3.13/3.35 tff(5802,plain,((~r(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(5803,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5802, 5792, 5722, 5787, 5409])).
% 3.13/3.35 tff(5804,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1144, 5803, 2819])).
% 3.13/3.35 tff(5805,plain,
% 3.13/3.35 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5804, 2851])).
% 3.13/3.35 tff(5806,plain,
% 3.13/3.35 (r(z, s(z)) <=> r(elem!1, s(z))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[703])).
% 3.13/3.35 tff(5807,plain,
% 3.13/3.35 (r(elem!1, s(z)) <=> r(z, s(z))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5806])).
% 3.13/3.35 tff(5808,plain,
% 3.13/3.35 (r(elem!1, s(z)) <=> r(elem!1, s(elem!1))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[2806])).
% 3.13/3.35 tff(5809,plain,
% 3.13/3.35 (r(elem!1, s(elem!1)) <=> r(elem!1, s(z))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5808])).
% 3.13/3.35 tff(5810,plain,
% 3.13/3.35 (r(elem!1, s(elem!1)) <=> r(z, s(z))),
% 3.13/3.35 inference(transitivity,[status(thm)],[5809, 5807])).
% 3.13/3.35 tff(5811,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.35 inference(symmetry,[status(thm)],[2828])).
% 3.13/3.35 tff(5812,plain,
% 3.13/3.35 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[2826, 5811])).
% 3.13/3.35 tff(5813,plain,
% 3.13/3.35 ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) <=> (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[5812])).
% 3.13/3.35 tff(5814,plain,
% 3.13/3.35 (b(s(elem!1), s(s(s(s(elem!1))))) <=> b(s(z), s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[4453])).
% 3.13/3.35 tff(5815,plain,
% 3.13/3.35 (b(s(z), s(s(s(s(elem!1))))) <=> b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(symmetry,[status(thm)],[5814])).
% 3.13/3.35 tff(5816,plain,
% 3.13/3.35 (b(s(s(s(s(elem!1)))), z) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.13/3.35 inference(monotonicity,[status(thm)],[703])).
% 3.13/3.35 tff(5817,plain,
% 3.13/3.35 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(elem!1)))), z)),
% 3.13/3.35 inference(symmetry,[status(thm)],[5816])).
% 3.13/3.35 tff(5818,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(elem!1)))), z)),
% 3.13/3.35 inference(transitivity,[status(thm)],[2851, 5817])).
% 3.13/3.35 tff(5819,plain,
% 3.13/3.35 (b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[2302, 5727])).
% 3.13/3.35 tff(5820,plain,
% 3.13/3.35 (b(s(z), s(s(z)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[1620, 5789])).
% 3.13/3.35 tff(5821,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5802, 5820, 540, 5819, 754])).
% 3.13/3.35 tff(5822,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), elem!1)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1144, 5821, 2819])).
% 3.13/3.35 tff(5823,plain,
% 3.13/3.35 (b(s(s(s(s(elem!1)))), z)),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5822, 5818])).
% 3.13/3.35 tff(5824,plain,
% 3.13/3.35 (~b(z, s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2216, 2208, 1596, 1595, 5823])).
% 3.13/3.35 tff(5825,plain,
% 3.13/3.35 (r(z, s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1698, 5824])).
% 3.13/3.35 tff(5826,plain,
% 3.13/3.35 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[5822, 2851])).
% 3.13/3.35 tff(5827,plain,
% 3.13/3.35 (~b(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2863, 338, 1929, 2636, 2208, 5826])).
% 3.13/3.35 tff(5828,plain,
% 3.13/3.35 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2297, 5827, 2835])).
% 3.13/3.35 tff(5829,plain,
% 3.13/3.35 (r(z, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3004, 5828, 4476])).
% 3.13/3.35 tff(5830,plain,
% 3.13/3.35 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[552, 5829, 405])).
% 3.13/3.35 tff(5831,plain,
% 3.13/3.35 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[106, 5830])).
% 3.13/3.35 tff(5832,plain,
% 3.13/3.35 (~b(s(s(s(s(z)))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5800, 5831, 5820, 540, 5819])).
% 3.13/3.35 tff(5833,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[119, 5832])).
% 3.13/3.35 tff(5834,plain,
% 3.13/3.35 (~r(z, s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2112, 5833, 5829])).
% 3.13/3.35 tff(5835,plain,
% 3.13/3.35 (b(z, s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[403, 5834])).
% 3.13/3.35 tff(5836,plain,
% 3.13/3.35 (b(elem!1, s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2787, 5835, 703])).
% 3.13/3.35 tff(5837,plain,
% 3.13/3.35 (~r(s(s(s(elem!1))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[4530, 5836, 1270, 2581, 754, 305, 405, 2582, 140])).
% 3.13/3.35 tff(5838,plain,
% 3.13/3.35 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), z)))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(5839,plain,
% 3.13/3.36 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), z)))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(5840,plain,
% 3.13/3.36 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), z))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 3.13/3.36 tff(5841,plain,
% 3.13/3.36 (~r(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5840, 82, 2225, 1678])).
% 3.13/3.36 tff(5842,plain,
% 3.13/3.36 (b(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[24, 21, 11, 5841])).
% 3.13/3.36 tff(5843,plain,
% 3.13/3.36 ((z = s(z)) <=> (s(z) = z)),
% 3.13/3.36 inference(commutativity,[status(thm)],[])).
% 3.13/3.36 tff(5844,plain,
% 3.13/3.36 ((s(z) = z) <=> (z = s(z))),
% 3.13/3.36 inference(symmetry,[status(thm)],[5843])).
% 3.13/3.36 tff(5845,plain,
% 3.13/3.36 ((~(s(z) = z)) <=> (~(z = s(z)))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5844])).
% 3.13/3.36 tff(5846,plain,
% 3.13/3.36 (~(z = s(z))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[11, 5845])).
% 3.13/3.36 tff(5847,plain,
% 3.13/3.36 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(z))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5848,plain,
% 3.13/3.36 (((~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(z))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5849,plain,
% 3.13/3.36 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(z)))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5848])).
% 3.13/3.36 tff(5850,plain,
% 3.13/3.36 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(z))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[5849, 5847])).
% 3.13/3.36 tff(5851,plain,
% 3.13/3.36 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(5852,plain,
% 3.13/3.36 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(z, s(z)))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 3.13/3.36 tff(5853,plain,
% 3.13/3.36 (~r(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5852, 82, 2225, 1678])).
% 3.13/3.36 tff(5854,plain,
% 3.13/3.36 ((z = s(z)) | b(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[401, 21, 5853])).
% 3.13/3.36 tff(5855,plain,
% 3.13/3.36 (b(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5854, 5846])).
% 3.13/3.36 tff(5856,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5857,plain,
% 3.13/3.36 (((~b(s(s(s(elem!1))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5858,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z)))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5857])).
% 3.13/3.36 tff(5859,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[5858, 5856])).
% 3.13/3.36 tff(5860,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(5861,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z)))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 3.13/3.36 tff(5862,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5861, 338, 1595, 1596, 5855, 5842, 1879])).
% 3.13/3.36 tff(5863,plain,((~r(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | r(s(s(s(elem!1))), s(z)) | (~r(s(z), s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5864,plain,
% 3.13/3.36 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5863, 5837, 5825, 1596, 1595])).
% 3.13/3.36 tff(5865,plain,
% 3.13/3.36 (b(s(z), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2239, 5864])).
% 3.13/3.36 tff(5866,plain,
% 3.13/3.36 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5865, 5815])).
% 3.13/3.36 tff(5867,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5868,plain,
% 3.13/3.36 (((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5869,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5868])).
% 3.13/3.36 tff(5870,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.36 inference(transitivity,[status(thm)],[5869, 5867])).
% 3.13/3.36 tff(5871,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(5872,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 3.13/3.36 tff(5873,plain,
% 3.13/3.36 (~b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5872, 338, 1929, 2208, 2302, 1620, 5826])).
% 3.13/3.36 tff(5874,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5873, 5866])).
% 3.13/3.36 tff(5875,plain,((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~(z = elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | b(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | (~r(s(z), elem!1)) | b(s(elem!1), elem!1) | (~r(s(z), z)) | r(s(s(s(elem!1))), elem!1) | b(z, s(s(elem!1))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5876,plain,
% 3.13/3.36 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5875, 703, 5717, 5786, 5791, 5710, 5706, 1270, 2581, 5409, 305, 5702, 2582, 140, 5722, 2636])).
% 3.13/3.36 tff(5877,plain,
% 3.13/3.36 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5876, 5813])).
% 3.13/3.36 tff(5878,plain,
% 3.13/3.36 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1011, 5877])).
% 3.13/3.36 tff(5879,plain,
% 3.13/3.36 (~b(s(s(s(s(z)))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3886, 406, 487, 1038])).
% 3.13/3.36 tff(5880,plain,
% 3.13/3.36 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3437, 406, 1038])).
% 3.13/3.36 tff(5881,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[119, 5880, 5879])).
% 3.13/3.36 tff(5882,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5883,plain,
% 3.13/3.36 (~r(s(z), s(s(s(z))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5882, 5878, 5720])).
% 3.13/3.36 tff(5884,plain,
% 3.13/3.36 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[4520, 5883, 4476])).
% 3.13/3.36 tff(5885,plain,
% 3.13/3.36 (b(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1515, 5884, 5728])).
% 3.13/3.36 tff(5886,plain,
% 3.13/3.36 (~b(z, s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1605, 5885, 5710, 5706, 5715])).
% 3.13/3.36 tff(5887,plain,
% 3.13/3.36 (r(z, s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1615, 5886])).
% 3.13/3.36 tff(5888,plain,
% 3.13/3.36 (r(z, s(elem!1)) <=> r(elem!1, s(elem!1))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[703])).
% 3.13/3.36 tff(5889,plain,
% 3.13/3.36 (r(elem!1, s(elem!1))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[233, 5888])).
% 3.13/3.36 tff(5890,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[247, 5889])).
% 3.13/3.36 tff(5891,plain,((~r(z, s(elem!1))) | r(elem!1, s(elem!1)) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5892,plain,
% 3.13/3.36 (r(elem!1, s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5891, 5887, 703])).
% 3.13/3.36 tff(5893,plain,
% 3.13/3.36 (r(z, s(z))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5892, 5810])).
% 3.13/3.36 tff(5894,plain,
% 3.13/3.36 (~(elem!1 = s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[231, 2033])).
% 3.13/3.36 tff(5895,plain,
% 3.13/3.36 (b(elem!1, s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[252, 4707, 5894])).
% 3.13/3.36 tff(5896,plain,
% 3.13/3.36 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2048, 264, 1294])).
% 3.13/3.36 tff(5897,plain,
% 3.13/3.36 (b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1971, 5896, 222])).
% 3.13/3.36 tff(5898,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5899,plain,
% 3.13/3.36 (((~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5900,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5899])).
% 3.13/3.36 tff(5901,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[5900, 5898])).
% 3.13/3.36 tff(5902,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(5903,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5902, 5901])).
% 3.13/3.36 tff(5904,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5903, 338, 5897, 1929, 2636, 1564, 5895])).
% 3.13/3.36 tff(5905,plain,((~r(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5906,plain,
% 3.13/3.36 (~r(s(s(elem!1)), s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5905, 5885, 2636, 5729, 5717, 5712, 1294])).
% 3.13/3.36 tff(5907,plain,
% 3.13/3.36 (b(s(s(elem!1)), s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[277, 5906, 229])).
% 3.13/3.36 tff(5908,plain,
% 3.13/3.36 (b(s(s(z)), s(z))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5907, 4466])).
% 3.13/3.36 tff(5909,plain,
% 3.13/3.36 (~r(s(z), s(s(s(s(z)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[552, 371, 405])).
% 3.13/3.36 tff(5910,plain,
% 3.13/3.36 (b(s(z), s(s(s(s(z)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[106, 5909])).
% 3.13/3.36 tff(5911,plain,
% 3.13/3.36 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2112, 371, 1731])).
% 3.13/3.36 tff(5912,plain,
% 3.13/3.36 (b(s(s(s(s(z)))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[119, 5911])).
% 3.13/3.36 tff(5913,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2919, 5912, 5910, 474, 475, 540])).
% 3.13/3.36 tff(5914,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5915,plain,
% 3.13/3.36 (~r(z, s(s(s(s(z)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5914, 5908, 5792, 5722, 5893, 5702])).
% 3.13/3.36 tff(5916,plain,
% 3.13/3.36 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3004, 5915, 4476])).
% 3.13/3.36 tff(5917,plain,
% 3.13/3.36 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2297, 5916, 2835])).
% 3.13/3.36 tff(5918,plain,
% 3.13/3.36 (~b(s(s(elem!1)), elem!1)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2311, 5917, 5786, 5723, 5805])).
% 3.13/3.36 tff(5919,plain,
% 3.13/3.36 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.36 inference(symmetry,[status(thm)],[4463])).
% 3.13/3.36 tff(5920,plain,
% 3.13/3.36 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[4461, 5919])).
% 3.13/3.36 tff(5921,plain,
% 3.13/3.36 ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) <=> (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5920])).
% 3.13/3.36 tff(5922,plain,
% 3.13/3.36 ((s(s(s(s(s(s(elem!1)))))) = elem!1) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.36 inference(commutativity,[status(thm)],[])).
% 3.13/3.36 tff(5923,plain,
% 3.13/3.36 ((elem!1 = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.13/3.36 inference(symmetry,[status(thm)],[5922])).
% 3.13/3.36 tff(5924,plain,
% 3.13/3.36 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.13/3.36 inference(monotonicity,[status(thm)],[703])).
% 3.13/3.36 tff(5925,plain,
% 3.13/3.36 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[5924, 5922])).
% 3.13/3.36 tff(5926,plain,
% 3.13/3.36 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.13/3.36 inference(transitivity,[status(thm)],[5925, 5923])).
% 3.13/3.36 tff(5927,plain,
% 3.13/3.36 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5926])).
% 3.13/3.36 tff(5928,plain,
% 3.13/3.36 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(s(s(elem!1)))))) = z))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(5929,plain,
% 3.13/3.36 (~(s(s(s(s(s(s(elem!1)))))) = z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5928, 9])).
% 3.13/3.36 tff(5930,plain,
% 3.13/3.36 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5929, 5927])).
% 3.13/3.36 tff(5931,plain,
% 3.13/3.36 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 3.13/3.36 inference(symmetry,[status(thm)],[4380])).
% 3.13/3.36 tff(5932,plain,
% 3.13/3.36 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 3.13/3.36 inference(transitivity,[status(thm)],[4382, 5931])).
% 3.13/3.36 tff(5933,plain,
% 3.13/3.36 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(s(s(z)))) = s(s(elem!1))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5932])).
% 3.13/3.36 tff(5934,plain,
% 3.13/3.36 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[60, 5933])).
% 3.13/3.36 tff(5935,plain,
% 3.13/3.36 (r(s(s(elem!1)), elem!1)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[327, 3306, 207])).
% 3.13/3.36 tff(5936,plain,
% 3.13/3.36 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), z)),
% 3.13/3.36 inference(monotonicity,[status(thm)],[712])).
% 3.13/3.36 tff(5937,plain,
% 3.13/3.36 (b(s(s(elem!1)), z) <=> b(s(s(elem!1)), elem!1)),
% 3.13/3.36 inference(symmetry,[status(thm)],[5936])).
% 3.13/3.36 tff(5938,plain,
% 3.13/3.36 (b(s(s(elem!1)), elem!1)),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[878, 5937])).
% 3.13/3.36 tff(5939,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3306, 5938])).
% 3.13/3.36 tff(5940,plain,((~(elem!1 = z)) | b(s(s(elem!1)), elem!1) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5941,plain,
% 3.13/3.36 (~b(s(s(elem!1)), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5940, 3306, 4476])).
% 3.13/3.36 tff(5942,plain,
% 3.13/3.36 (r(s(s(elem!1)), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[800, 5941])).
% 3.13/3.36 tff(5943,plain,
% 3.13/3.36 (~r(s(s(elem!1)), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[792, 5942, 405])).
% 3.13/3.36 tff(5944,plain,
% 3.13/3.36 (b(s(s(elem!1)), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[784, 5943])).
% 3.13/3.36 tff(5945,plain,
% 3.13/3.36 (~r(s(s(s(s(z)))), elem!1)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[4818, 5944, 5935, 747, 5934, 754])).
% 3.13/3.36 tff(5946,plain,
% 3.13/3.36 (b(s(s(s(s(z)))), elem!1)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1144, 5945, 2819])).
% 3.13/3.36 tff(5947,plain,
% 3.13/3.36 (b(s(s(s(s(elem!1)))), z)),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5946, 5818])).
% 3.13/3.36 tff(5948,plain,
% 3.13/3.36 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[209, 207])).
% 3.13/3.36 tff(5949,plain,
% 3.13/3.36 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[217, 5948])).
% 3.13/3.36 tff(5950,plain,
% 3.13/3.36 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1490, 5949])).
% 3.13/3.36 tff(5951,plain,
% 3.13/3.36 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1498, 5950])).
% 3.13/3.36 tff(5952,plain,
% 3.13/3.36 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5946, 2851])).
% 3.13/3.36 tff(5953,plain,
% 3.13/3.36 (r(s(elem!1), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2759, 4476, 295])).
% 3.13/3.36 tff(5954,plain,
% 3.13/3.36 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5955,plain,
% 3.13/3.36 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(5956,plain,
% 3.13/3.36 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1)))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5955, 5954])).
% 3.13/3.36 tff(5957,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5956, 82, 1815, 264, 787])).
% 3.13/3.36 tff(5958,plain,((~r(s(s(elem!1)), z)) | (~r(s(elem!1), z)) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5959,plain,
% 3.13/3.36 (~r(s(s(elem!1)), s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5958, 5942, 5953])).
% 3.13/3.36 tff(5960,plain,
% 3.13/3.36 (b(s(s(elem!1)), s(elem!1))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[277, 5959, 229])).
% 3.13/3.36 tff(5961,plain,
% 3.13/3.36 (~b(z, s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2216, 2208, 1596, 1595, 1700])).
% 3.13/3.36 tff(5962,plain,
% 3.13/3.36 (r(z, s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1698, 5961])).
% 3.13/3.36 tff(5963,plain,
% 3.13/3.36 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5863, 5962, 1851, 1596, 1595])).
% 3.13/3.36 tff(5964,plain,
% 3.13/3.36 (b(s(z), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2239, 5963])).
% 3.13/3.36 tff(5965,plain,
% 3.13/3.36 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5964, 5815])).
% 3.13/3.36 tff(5966,plain,
% 3.13/3.36 (~b(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2863, 338, 1929, 2636, 2208, 1621])).
% 3.13/3.36 tff(5967,plain,
% 3.13/3.36 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2297, 5966, 2835])).
% 3.13/3.36 tff(5968,plain,
% 3.13/3.36 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5969,plain,
% 3.13/3.36 (((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5970,plain,
% 3.13/3.36 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(elem!1))))))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[5969])).
% 3.13/3.36 tff(5971,plain,
% 3.13/3.36 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[5970, 5968])).
% 3.13/3.36 tff(5972,plain,
% 3.13/3.36 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(5973,plain,
% 3.13/3.36 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(elem!1))))))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[5972, 5971])).
% 3.13/3.36 tff(5974,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5973, 82, 2284, 254, 2267])).
% 3.13/3.36 tff(5975,plain,((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(5976,plain,
% 3.13/3.36 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5975, 5967, 254])).
% 3.13/3.36 tff(5977,plain,
% 3.13/3.36 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1724, 5976, 3218])).
% 3.13/3.36 tff(5978,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5979,plain,
% 3.13/3.36 (((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(5980,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[5979])).
% 3.13/3.37 tff(5981,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.13/3.37 inference(transitivity,[status(thm)],[5980, 5978])).
% 3.13/3.37 tff(5982,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(5983,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 3.13/3.37 tff(5984,plain,
% 3.13/3.37 (~b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[5983, 338, 1929, 316, 2208, 5977, 1621])).
% 3.13/3.37 tff(5985,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[5984, 5965])).
% 3.13/3.37 tff(5986,plain,((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~(z = elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (s(s(elem!1)) = s(s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(z)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(5987,plain,
% 3.13/3.37 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[5986, 5960, 1929, 703, 5952, 5951, 1851, 1596, 1595, 5935, 5947, 2636])).
% 3.13/3.37 tff(5988,plain,
% 3.13/3.37 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[1562, 5987, 1475])).
% 3.13/3.37 tff(5989,plain,
% 3.13/3.37 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[2275, 5988, 2257])).
% 3.13/3.37 tff(5990,plain,
% 3.13/3.37 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[1724, 5989, 5951])).
% 3.13/3.37 tff(5991,plain,
% 3.13/3.37 (b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) <=> b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[2822])).
% 3.13/3.37 tff(5992,plain,
% 3.13/3.37 (r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))) <=> r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[2823])).
% 3.13/3.37 tff(5993,plain,
% 3.13/3.37 ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) <=> (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[5992])).
% 3.13/3.37 tff(5994,assumption,(r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))), introduced(assumption)).
% 3.13/3.37 tff(5995,plain,
% 3.13/3.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(5996,plain,
% 3.13/3.37 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(5997,plain,
% 3.13/3.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[5996])).
% 3.13/3.37 tff(5998,plain,
% 3.13/3.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.13/3.37 inference(transitivity,[status(thm)],[5997, 5995])).
% 3.13/3.37 tff(5999,plain,
% 3.13/3.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6000,plain,
% 3.13/3.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 3.13/3.37 tff(6001,plain,
% 3.13/3.37 (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6000, 82, 1548, 5994])).
% 3.13/3.37 tff(6002,plain,
% 3.13/3.37 (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6001, 5993])).
% 3.13/3.37 tff(6003,plain,
% 3.13/3.37 ((s(s(s(s(z)))) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))),
% 3.13/3.37 inference(commutativity,[status(thm)],[])).
% 3.13/3.37 tff(6004,plain,
% 3.13/3.37 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(symmetry,[status(thm)],[6003])).
% 3.13/3.37 tff(6005,plain,
% 3.13/3.37 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[6004])).
% 3.13/3.37 tff(6006,plain,
% 3.13/3.37 (~(s(s(s(s(z)))) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[3187, 6005])).
% 3.13/3.37 tff(6007,plain,
% 3.13/3.37 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6008,plain,
% 3.13/3.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6009,plain,
% 3.13/3.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6008, 6007])).
% 3.13/3.37 tff(6010,plain,
% 3.13/3.37 ((s(s(s(s(z)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6009, 21])).
% 3.13/3.37 tff(6011,plain,
% 3.13/3.37 (b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6010, 6006])).
% 3.13/3.37 tff(6012,plain,
% 3.13/3.37 (b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6011, 6002])).
% 3.13/3.37 tff(6013,plain,
% 3.13/3.37 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6012, 5991])).
% 3.13/3.37 tff(6014,plain,
% 3.13/3.37 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[2823])).
% 3.13/3.37 tff(6015,plain,
% 3.13/3.37 ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[6014])).
% 3.13/3.37 tff(6016,plain,
% 3.13/3.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6017,plain,
% 3.13/3.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6018,plain,
% 3.13/3.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 3.13/3.37 tff(6019,plain,
% 3.13/3.37 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6018, 82, 1548, 5994])).
% 3.13/3.37 tff(6020,plain,
% 3.13/3.37 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6019, 6015])).
% 3.13/3.37 tff(6021,plain,
% 3.13/3.37 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6022,plain,
% 3.13/3.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6023,plain,
% 3.13/3.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6022, 6021])).
% 3.13/3.37 tff(6024,plain,
% 3.13/3.37 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6023, 21, 3187])).
% 3.13/3.37 tff(6025,plain,
% 3.13/3.37 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6024, 6020])).
% 3.13/3.37 tff(6026,plain,
% 3.13/3.37 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[2822])).
% 3.13/3.37 tff(6027,assumption,(b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))), introduced(assumption)).
% 3.13/3.37 tff(6028,plain,
% 3.13/3.37 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6027, 6026])).
% 3.13/3.37 tff(6029,assumption,(~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.13/3.37 tff(6030,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6029, 6028])).
% 3.13/3.37 tff(6031,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(6032,plain,
% 3.13/3.37 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6031, 6025, 703])).
% 3.13/3.37 tff(6033,assumption,(s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))), introduced(assumption)).
% 3.13/3.37 tff(6034,plain,
% 3.13/3.37 (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))),
% 3.13/3.37 inference(symmetry,[status(thm)],[6033])).
% 3.13/3.37 tff(6035,plain,
% 3.13/3.37 (inj_0(s(s(s(s(s(s(elem!1))))))) = inj_0(s(s(elem!1)))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[6034])).
% 3.13/3.37 tff(6036,plain,
% 3.13/3.37 (s(s(s(s(s(elem!1))))) = inj_0(s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(symmetry,[status(thm)],[3177])).
% 3.13/3.37 tff(6037,plain,
% 3.13/3.37 (s(s(s(s(s(elem!1))))) = s(elem!1)),
% 3.13/3.37 inference(transitivity,[status(thm)],[6036, 6035, 181])).
% 3.13/3.37 tff(6038,plain,
% 3.13/3.37 (inj_0(s(s(s(s(s(elem!1)))))) = inj_0(s(elem!1))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[6037])).
% 3.13/3.37 tff(6039,plain,
% 3.13/3.37 (inj_0(s(elem!1)) = inj_0(s(s(s(s(s(elem!1))))))),
% 3.13/3.37 inference(symmetry,[status(thm)],[6038])).
% 3.13/3.37 tff(6040,plain,
% 3.13/3.37 (elem!1 = s(s(s(s(elem!1))))),
% 3.13/3.37 inference(transitivity,[status(thm)],[5450, 6039, 3175])).
% 3.13/3.37 tff(6041,assumption,(~(elem!1 = s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.13/3.37 tff(6042,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6041, 6040])).
% 3.13/3.37 tff(6043,plain,((~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))) | (elem!1 = s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(6044,plain,
% 3.13/3.37 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6043, 2835])).
% 3.13/3.37 tff(6045,plain,
% 3.13/3.37 ((s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 3.13/3.37 inference(commutativity,[status(thm)],[])).
% 3.13/3.37 tff(6046,plain,
% 3.13/3.37 ((s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))) <=> (s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(symmetry,[status(thm)],[6045])).
% 3.13/3.37 tff(6047,assumption,(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))), introduced(assumption)).
% 3.13/3.37 tff(6048,plain,
% 3.13/3.37 (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6047, 6046])).
% 3.13/3.37 tff(6049,assumption,(~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.13/3.37 tff(6050,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6049, 6048])).
% 3.13/3.37 tff(6051,plain,((~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(6052,plain,
% 3.13/3.37 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6051, 6044])).
% 3.13/3.37 tff(6053,plain,
% 3.13/3.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6054,plain,
% 3.13/3.37 (((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))) <=> ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6055,plain,
% 3.13/3.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[6054])).
% 3.13/3.37 tff(6056,plain,
% 3.13/3.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.13/3.37 inference(transitivity,[status(thm)],[6055, 6053])).
% 3.13/3.37 tff(6057,plain,
% 3.13/3.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6058,plain,
% 3.13/3.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6057, 6056])).
% 3.13/3.37 tff(6059,plain,
% 3.13/3.37 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6058, 82, 2257, 5994])).
% 3.13/3.37 tff(6060,plain,
% 3.13/3.37 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))) | r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))) | r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6061,plain,
% 3.13/3.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))) | r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6062,plain,
% 3.13/3.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))) | r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 3.13/3.37 tff(6063,plain,
% 3.13/3.37 ((s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))) | r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6062, 21])).
% 3.13/3.37 tff(6064,plain,
% 3.13/3.37 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6063, 6059, 6052])).
% 3.13/3.37 tff(6065,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6066,plain,
% 3.13/3.37 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6067,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[6066])).
% 3.13/3.37 tff(6068,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.37 inference(transitivity,[status(thm)],[6067, 6065])).
% 3.13/3.37 tff(6069,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6070,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 3.13/3.37 tff(6071,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6070, 338, 2302, 2301, 6064, 6032, 6013])).
% 3.13/3.37 tff(6072,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~(z = elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(6073,plain,
% 3.13/3.37 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6072, 5990, 2301, 703, 5988, 2257])).
% 3.13/3.37 tff(6074,plain,
% 3.13/3.37 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6075,plain,
% 3.13/3.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6076,plain,
% 3.13/3.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 3.13/3.37 tff(6077,plain,
% 3.13/3.37 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6076, 21, 5711, 6073])).
% 3.13/3.37 tff(6078,plain,
% 3.13/3.37 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[5987, 5813])).
% 3.13/3.37 tff(6079,plain,
% 3.13/3.37 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[1011, 6078])).
% 3.13/3.37 tff(6080,plain,
% 3.13/3.37 (~r(s(z), s(s(s(z))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[5882, 6079, 5720])).
% 3.13/3.37 tff(6081,plain,
% 3.13/3.37 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[4520, 6080, 4476])).
% 3.13/3.37 tff(6082,plain,
% 3.13/3.37 (b(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[1515, 6081, 5948])).
% 3.13/3.37 tff(6083,assumption,(s(s(s(s(s(s(elem!1)))))) = s(z)), introduced(assumption)).
% 3.13/3.37 tff(6084,plain,
% 3.13/3.37 (s(z) = s(s(s(s(s(s(elem!1))))))),
% 3.13/3.37 inference(symmetry,[status(thm)],[6083])).
% 3.13/3.37 tff(6085,plain,
% 3.13/3.37 (inj_0(s(z)) = inj_0(s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[6084])).
% 3.13/3.37 tff(6086,plain,
% 3.13/3.37 (inj_0(s(s(s(s(s(s(elem!1))))))) = inj_0(s(z))),
% 3.13/3.37 inference(symmetry,[status(thm)],[6085])).
% 3.13/3.37 tff(6087,plain,
% 3.13/3.37 (s(s(s(s(s(elem!1))))) = z),
% 3.13/3.37 inference(transitivity,[status(thm)],[6036, 6086, 48])).
% 3.13/3.37 tff(6088,plain,
% 3.13/3.37 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(s(elem!1))))) = z))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6089,plain,
% 3.13/3.37 (~(s(s(s(s(s(elem!1))))) = z)),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6088, 9])).
% 3.13/3.37 tff(6090,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6089, 6087])).
% 3.13/3.37 tff(6091,plain,(~(s(s(s(s(s(s(elem!1)))))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(6092,plain,
% 3.13/3.37 (r(s(s(s(s(s(s(elem!1)))))), s(z)) <=> r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[2806])).
% 3.13/3.37 tff(6093,plain,
% 3.13/3.37 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1)) <=> r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.13/3.37 inference(symmetry,[status(thm)],[6092])).
% 3.13/3.37 tff(6094,plain,
% 3.13/3.37 ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[6093])).
% 3.13/3.37 tff(6095,assumption,(r(s(s(s(s(s(s(elem!1)))))), elem!1)), introduced(assumption)).
% 3.13/3.37 tff(6096,plain,
% 3.13/3.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(6097,plain,
% 3.13/3.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(6098,plain,
% 3.13/3.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 3.13/3.37 tff(6099,plain,
% 3.13/3.37 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[6098, 82, 295, 6095])).
% 3.13/3.37 tff(6100,plain,
% 3.13/3.37 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[6099, 6094])).
% 3.13/3.37 tff(6101,plain,
% 3.13/3.37 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(z)) | b(s(s(s(s(s(s(elem!1)))))), s(z)) | r(s(s(s(s(s(s(elem!1)))))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(z)) | b(s(s(s(s(s(s(elem!1)))))), s(z)) | r(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6102,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(z)) | b(s(s(s(s(s(s(elem!1)))))), s(z)) | r(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(6103,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(z)) | b(s(s(s(s(s(s(elem!1)))))), s(z)) | r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6102, 6101])).
% 3.13/3.38 tff(6104,plain,
% 3.13/3.38 ((s(s(s(s(s(s(elem!1)))))) = s(z)) | b(s(s(s(s(s(s(elem!1)))))), s(z)) | r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6103, 21])).
% 3.13/3.38 tff(6105,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6104, 6100, 6091])).
% 3.13/3.38 tff(6106,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(elem!1)))))), s(z)) <=> b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[2806])).
% 3.13/3.38 tff(6107,assumption,(b(s(s(s(s(s(s(elem!1)))))), s(z))), introduced(assumption)).
% 3.13/3.38 tff(6108,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6107, 6106])).
% 3.13/3.38 tff(6109,assumption,(~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))), introduced(assumption)).
% 3.13/3.38 tff(6110,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6109, 6108])).
% 3.13/3.38 tff(6111,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(z))) | b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(6112,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6111, 6105, 703])).
% 3.13/3.38 tff(6113,plain,
% 3.13/3.38 (b(s(z), s(s(s(s(s(s(elem!1))))))) <=> b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[2806])).
% 3.13/3.38 tff(6114,plain,
% 3.13/3.38 ((s(s(s(s(s(s(elem!1)))))) = s(z)) <=> (s(z) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(commutativity,[status(thm)],[])).
% 3.13/3.38 tff(6115,plain,
% 3.13/3.38 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(z))),
% 3.13/3.38 inference(symmetry,[status(thm)],[6114])).
% 3.13/3.38 tff(6116,assumption,(s(z) = s(s(s(s(s(s(elem!1))))))), introduced(assumption)).
% 3.13/3.38 tff(6117,plain,
% 3.13/3.38 (s(s(s(s(s(s(elem!1)))))) = s(z)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 3.13/3.38 tff(6118,assumption,(~(s(s(s(s(s(s(elem!1)))))) = s(z))), introduced(assumption)).
% 3.13/3.38 tff(6119,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6118, 6117])).
% 3.13/3.38 tff(6120,plain,((~(s(z) = s(s(s(s(s(s(elem!1)))))))) | (s(s(s(s(s(s(elem!1)))))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(6121,plain,
% 3.13/3.38 (~(s(z) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6120, 6091])).
% 3.13/3.38 tff(6122,plain,
% 3.13/3.38 (r(s(elem!1), s(s(s(s(s(s(elem!1))))))) <=> r(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[4453])).
% 3.13/3.38 tff(6123,plain,
% 3.13/3.38 ((~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) <=> (~r(s(z), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[6122])).
% 3.13/3.38 tff(6124,plain,
% 3.13/3.38 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6125,plain,
% 3.13/3.38 (((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6126,plain,
% 3.13/3.38 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[6125])).
% 3.13/3.38 tff(6127,plain,
% 3.13/3.38 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.38 inference(transitivity,[status(thm)],[6126, 6124])).
% 3.13/3.38 tff(6128,plain,
% 3.13/3.38 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(6129,plain,
% 3.13/3.38 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6128, 6127])).
% 3.13/3.38 tff(6130,plain,
% 3.13/3.38 (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6129, 82, 295, 6095])).
% 3.13/3.38 tff(6131,plain,
% 3.13/3.38 (~r(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6130, 6123])).
% 3.13/3.38 tff(6132,plain,
% 3.13/3.38 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(s(s(elem!1))))))) | b(s(z), s(s(s(s(s(s(elem!1))))))) | r(s(z), s(s(s(s(s(s(elem!1))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(s(s(elem!1))))))) | b(s(z), s(s(s(s(s(s(elem!1))))))) | r(s(z), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6133,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(s(s(elem!1))))))) | b(s(z), s(s(s(s(s(s(elem!1))))))) | r(s(z), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(6134,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(s(s(elem!1))))))) | b(s(z), s(s(s(s(s(s(elem!1))))))) | r(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6133, 6132])).
% 3.13/3.38 tff(6135,plain,
% 3.13/3.38 ((s(z) = s(s(s(s(s(s(elem!1))))))) | b(s(z), s(s(s(s(s(s(elem!1))))))) | r(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6134, 21])).
% 3.13/3.38 tff(6136,plain,
% 3.13/3.38 (b(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6135, 6131, 6121])).
% 3.13/3.38 tff(6137,plain,
% 3.13/3.38 (b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6136, 6113])).
% 3.13/3.38 tff(6138,assumption,(b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))), introduced(assumption)).
% 3.13/3.38 tff(6139,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6140,plain,
% 3.13/3.38 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6141,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[6140])).
% 3.13/3.38 tff(6142,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.13/3.38 inference(transitivity,[status(thm)],[6141, 6139])).
% 3.13/3.38 tff(6143,plain,
% 3.13/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(6144,plain,
% 3.13/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 3.13/3.38 tff(6145,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6144, 338, 1500, 1564, 6138, 6137, 6112])).
% 3.13/3.38 tff(6146,plain,((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~(z = elem!1)) | (~r(s(elem!1), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(6147,plain,
% 3.13/3.38 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6146, 6082, 1500, 6077, 703, 295])).
% 3.13/3.38 tff(6148,plain,
% 3.13/3.38 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = elem!1) | b(s(s(s(s(s(s(elem!1)))))), elem!1) | r(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | b(s(s(s(s(s(s(elem!1)))))), elem!1) | r(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6149,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = elem!1) | b(s(s(s(s(s(s(elem!1)))))), elem!1) | r(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(6150,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | b(s(s(s(s(s(s(elem!1)))))), elem!1) | r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 3.13/3.38 tff(6151,plain,
% 3.13/3.38 ((s(s(s(s(s(s(elem!1)))))) = elem!1) | b(s(s(s(s(s(s(elem!1)))))), elem!1) | r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6150, 21])).
% 3.13/3.38 tff(6152,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6151, 6147, 5930])).
% 3.13/3.38 tff(6153,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6154,plain,
% 3.13/3.38 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6155,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[6154])).
% 3.13/3.38 tff(6156,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.38 inference(transitivity,[status(thm)],[6155, 6153])).
% 3.13/3.38 tff(6157,plain,
% 3.13/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(6158,plain,
% 3.13/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6157, 6156])).
% 3.13/3.38 tff(6159,plain,
% 3.13/3.38 ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6158, 338, 1929, 2636, 5952, 6077])).
% 3.13/3.38 tff(6160,plain,
% 3.13/3.38 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6159, 6152])).
% 3.13/3.38 tff(6161,plain,
% 3.13/3.38 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6160, 5921])).
% 3.13/3.38 tff(6162,plain,
% 3.13/3.38 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(commutativity,[status(thm)],[])).
% 3.13/3.38 tff(6163,plain,
% 3.13/3.38 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[5753])).
% 3.13/3.38 tff(6164,plain,
% 3.13/3.38 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(z))) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(transitivity,[status(thm)],[6163, 6162])).
% 3.13/3.38 tff(6165,plain,
% 3.13/3.38 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))) <=> (~(s(s(s(z))) = s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[6164])).
% 3.13/3.38 tff(6166,plain,
% 3.13/3.38 (~(s(s(s(z))) = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[5711, 6165])).
% 3.13/3.38 tff(6167,plain,
% 3.13/3.38 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[5925])).
% 3.13/3.38 tff(6168,plain,
% 3.13/3.38 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[5929, 6167])).
% 3.13/3.38 tff(6169,assumption,(r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))), introduced(assumption)).
% 3.13/3.38 tff(6170,assumption,(~(s(s(s(s(s(s(elem!1)))))) = elem!1)), introduced(assumption)).
% 3.13/3.38 tff(6171,assumption,(~(elem!1 = s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.13/3.38 tff(6172,assumption,(r(elem!1, s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.13/3.38 tff(6173,plain,
% 3.13/3.38 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6174,plain,
% 3.13/3.38 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1))))))))) <=> ((~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6175,plain,
% 3.13/3.38 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[6174])).
% 3.13/3.38 tff(6176,plain,
% 3.13/3.38 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.38 inference(transitivity,[status(thm)],[6175, 6173])).
% 3.13/3.38 tff(6177,plain,
% 3.13/3.38 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(6178,plain,
% 3.13/3.38 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 3.13/3.38 tff(6179,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6178, 82, 279, 6172, 6169])).
% 3.13/3.38 tff(6180,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(6181,plain,
% 3.13/3.38 (~r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6180, 6169, 279])).
% 3.13/3.38 tff(6182,plain,
% 3.13/3.38 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(s(s(elem!1))))))) | b(elem!1, s(s(s(s(s(s(elem!1))))))) | r(elem!1, s(s(s(s(s(s(elem!1))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | b(elem!1, s(s(s(s(s(s(elem!1))))))) | r(elem!1, s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6183,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(s(s(elem!1))))))) | b(elem!1, s(s(s(s(s(s(elem!1))))))) | r(elem!1, s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(6184,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | b(elem!1, s(s(s(s(s(s(elem!1))))))) | r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[6183, 6182])).
% 3.13/3.38 tff(6185,plain,
% 3.13/3.38 ((elem!1 = s(s(s(s(s(s(elem!1))))))) | b(elem!1, s(s(s(s(s(s(elem!1))))))) | r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6184, 21])).
% 3.13/3.38 tff(6186,plain,
% 3.13/3.38 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[6185, 6181, 6171])).
% 3.13/3.38 tff(6187,assumption,(b(s(s(s(s(s(s(elem!1)))))), elem!1)), introduced(assumption)).
% 3.13/3.38 tff(6188,assumption,(b(elem!1, s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.13/3.38 tff(6189,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6190,plain,
% 3.13/3.38 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(6191,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[6190])).
% 3.13/3.38 tff(6192,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.39 inference(transitivity,[status(thm)],[6191, 6189])).
% 3.13/3.39 tff(6193,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6194,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6193, 6192])).
% 3.13/3.39 tff(6195,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6194, 338, 1929, 2636, 6188, 6187, 6138])).
% 3.13/3.39 tff(6196,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6197,plain,
% 3.13/3.39 (~b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6196, 6186, 2636, 6138, 1929])).
% 3.13/3.39 tff(6198,plain,
% 3.13/3.39 (r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6151, 6197, 6170])).
% 3.13/3.39 tff(6199,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6200,plain,
% 3.13/3.39 (((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6201,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[6200])).
% 3.13/3.39 tff(6202,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.13/3.39 inference(transitivity,[status(thm)],[6201, 6199])).
% 3.13/3.39 tff(6203,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6204,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6203, 6202])).
% 3.13/3.39 tff(6205,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6204, 82, 279, 6198, 6169])).
% 3.13/3.39 tff(6206,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (elem!1 = s(s(s(s(s(s(elem!1)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6207,plain,
% 3.13/3.39 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6206, 6077, 5930, 2636, 279, 1929, 6168])).
% 3.13/3.39 tff(6208,plain,
% 3.13/3.39 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6063, 6207, 6052])).
% 3.13/3.39 tff(6209,plain,
% 3.13/3.39 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.13/3.39 inference(symmetry,[status(thm)],[6014])).
% 3.13/3.39 tff(6210,assumption,(b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))), introduced(assumption)).
% 3.13/3.39 tff(6211,plain,
% 3.13/3.39 (~b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6196, 6187, 2636, 6138, 1929])).
% 3.13/3.39 tff(6212,plain,
% 3.13/3.39 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6185, 6211, 6168])).
% 3.13/3.39 tff(6213,assumption,(r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.13/3.39 tff(6214,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6215,plain,
% 3.13/3.39 (((~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), elem!1))) <=> ((~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6216,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[6215])).
% 3.13/3.39 tff(6217,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(transitivity,[status(thm)],[6216, 6214])).
% 3.13/3.39 tff(6218,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), elem!1)))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6219,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 3.13/3.39 tff(6220,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6219, 82, 254, 6172, 6213])).
% 3.13/3.39 tff(6221,plain,((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6222,plain,
% 3.13/3.39 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6221, 6212, 254])).
% 3.13/3.39 tff(6223,plain,
% 3.13/3.39 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) | b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))) | r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) | b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))) | r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6224,plain,
% 3.13/3.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) | b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))) | r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6225,plain,
% 3.13/3.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) | b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))) | r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6224, 6223])).
% 3.13/3.39 tff(6226,plain,
% 3.13/3.39 ((s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) | b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))) | r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6225, 21])).
% 3.13/3.39 tff(6227,plain,
% 3.13/3.39 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6226, 6222, 6044])).
% 3.13/3.39 tff(6228,assumption,(b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.13/3.39 tff(6229,assumption,(b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.13/3.39 tff(6230,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6231,plain,
% 3.13/3.39 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6232,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[6231])).
% 3.13/3.39 tff(6233,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(transitivity,[status(thm)],[6232, 6230])).
% 3.13/3.39 tff(6234,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6235,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6234, 6233])).
% 3.13/3.39 tff(6236,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6235, 338, 2302, 2301, 6210, 6229, 6228])).
% 3.13/3.39 tff(6237,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6238,plain,
% 3.13/3.39 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6237, 6227, 2301, 6210, 2302])).
% 3.13/3.39 tff(6239,plain,
% 3.13/3.39 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6031, 6238, 703])).
% 3.13/3.39 tff(6240,plain,
% 3.13/3.39 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6024, 6239])).
% 3.13/3.39 tff(6241,plain,
% 3.13/3.39 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6240, 6209])).
% 3.13/3.39 tff(6242,plain,
% 3.13/3.39 (r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1))))))) <=> r(s(s(s(z))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[5753])).
% 3.13/3.39 tff(6243,plain,
% 3.13/3.39 (r(s(s(s(z))), s(s(s(s(s(s(elem!1))))))) <=> r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(symmetry,[status(thm)],[6242])).
% 3.13/3.39 tff(6244,assumption,(~(s(s(s(z))) = s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.13/3.39 tff(6245,plain,
% 3.13/3.39 (b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1))))))) <=> b(s(s(s(z))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[5753])).
% 3.13/3.39 tff(6246,plain,
% 3.13/3.39 ((~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) <=> (~b(s(s(s(z))), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[6245])).
% 3.13/3.39 tff(6247,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6248,plain,
% 3.13/3.39 (((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6249,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[6248])).
% 3.13/3.39 tff(6250,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.39 inference(transitivity,[status(thm)],[6249, 6247])).
% 3.13/3.39 tff(6251,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6252,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6251, 6250])).
% 3.13/3.39 tff(6253,plain,
% 3.13/3.39 (~b(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6252, 338, 1929, 2636, 6187, 6138])).
% 3.13/3.39 tff(6254,plain,
% 3.13/3.39 (~b(s(s(s(z))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6253, 6246])).
% 3.13/3.39 tff(6255,plain,
% 3.13/3.39 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(z))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(z))), s(s(s(s(s(s(elem!1))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(z))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(z))), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6256,plain,
% 3.13/3.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(z))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(z))), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6257,plain,
% 3.13/3.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(z))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(z))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6256, 6255])).
% 3.13/3.39 tff(6258,plain,
% 3.13/3.39 ((s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(z))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(z))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6257, 21])).
% 3.13/3.39 tff(6259,plain,
% 3.13/3.39 (r(s(s(s(z))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6258, 6254, 6244])).
% 3.13/3.39 tff(6260,plain,
% 3.13/3.39 (r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6259, 6243])).
% 3.13/3.39 tff(6261,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6262,plain,
% 3.13/3.39 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6263,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1))))))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[6262])).
% 3.13/3.39 tff(6264,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(transitivity,[status(thm)],[6263, 6261])).
% 3.13/3.39 tff(6265,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1)))))))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6266,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6265, 6264])).
% 3.13/3.39 tff(6267,plain,
% 3.13/3.39 ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(s(s(elem!1))))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6266, 82, 5757])).
% 3.13/3.39 tff(6268,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6267, 6260, 6241])).
% 3.13/3.39 tff(6269,plain,((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~(z = elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6270,plain,
% 3.13/3.39 (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6269, 6152, 703, 2301, 6208, 5990, 6166, 1929, 2636, 6077, 5935])).
% 3.13/3.39 tff(6271,plain,
% 3.13/3.39 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6270, 5756])).
% 3.13/3.39 tff(6272,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[689, 6271, 6161])).
% 3.13/3.39 tff(6273,plain,(b(s(s(elem!1)), elem!1) | (~(z = elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | r(s(s(s(elem!1))), s(z)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), elem!1)) | (s(s(elem!1)) = s(elem!1)) | (~r(s(z), z)) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6274,plain,
% 3.13/3.39 (r(s(s(s(elem!1))), s(z))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6273, 5918, 5723, 5717, 2636, 5715, 5713, 5712, 5711, 2257, 1475, 703, 5710, 5706, 5708, 5409, 229, 5702, 5704])).
% 3.13/3.39 tff(6275,plain,
% 3.13/3.39 (b(elem!1, s(z))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[4307, 6274, 305, 1270, 140, 2581, 1318, 2582])).
% 3.13/3.39 tff(6276,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[4530, 6275, 6274, 1270, 2581, 5409, 305, 5702, 2582, 140])).
% 3.13/3.39 tff(6277,plain,((~(z = elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(elem!1), elem!1) | r(s(s(s(elem!1))), elem!1) | b(z, s(s(elem!1))) | b(s(z), elem!1) | (~b(s(s(s(elem!1))), elem!1)) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | b(z, elem!1) | (elem!1 = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6278,plain,
% 3.13/3.39 (~(z = elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6277, 2631, 2581, 305, 2582, 140, 1318, 1270, 5700, 2620, 1330, 1344, 1293, 177, 1925])).
% 3.13/3.39 tff(6279,plain,
% 3.13/3.39 (r(z, elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[353, 6278, 177])).
% 3.13/3.39 tff(6280,plain,
% 3.13/3.39 (~r(s(s(elem!1)), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[262, 6279, 162])).
% 3.13/3.39 tff(6281,plain,
% 3.13/3.39 (b(s(s(elem!1)), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[327, 6280, 2640])).
% 3.13/3.39 tff(6282,plain,
% 3.13/3.39 (~r(s(elem!1), z)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[2764, 6279, 5691])).
% 3.13/3.39 tff(6283,plain,
% 3.13/3.39 (b(s(elem!1), z)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1812, 6282])).
% 3.13/3.39 tff(6284,plain,
% 3.13/3.39 (~r(z, s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[303, 6279, 5691])).
% 3.13/3.39 tff(6285,plain,
% 3.13/3.39 (b(z, s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1615, 6284])).
% 3.13/3.39 tff(6286,plain,
% 3.13/3.39 (~(s(elem!1) = s(z))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1912, 6278])).
% 3.13/3.39 tff(6287,plain,
% 3.13/3.39 (~(s(z) = s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1919, 6286])).
% 3.13/3.39 tff(6288,plain,
% 3.13/3.39 (~r(s(z), z)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[759, 6279, 5409])).
% 3.13/3.39 tff(6289,plain,
% 3.13/3.39 (b(s(z), z)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[26, 6288])).
% 3.13/3.39 tff(6290,plain,
% 3.13/3.39 (~r(z, s(z))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[3145, 6279, 5409])).
% 3.13/3.39 tff(6291,plain,
% 3.13/3.39 (b(z, s(z))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[403, 6290])).
% 3.13/3.39 tff(6292,plain,
% 3.13/3.39 (~b(s(z), s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[4304, 6291, 5691, 6289, 6279])).
% 3.13/3.39 tff(6293,plain,
% 3.13/3.39 (r(s(z), s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[3066, 6292, 6287])).
% 3.13/3.39 tff(6294,plain,
% 3.13/3.39 (~r(elem!1, s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1981, 6293, 5409])).
% 3.13/3.39 tff(6295,plain,
% 3.13/3.39 (b(elem!1, s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[252, 6294, 1914])).
% 3.13/3.39 tff(6296,plain,
% 3.13/3.39 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1804, 1796, 1595, 1596, 1597])).
% 3.13/3.39 tff(6297,plain,
% 3.13/3.39 (r(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1971, 6296, 222])).
% 3.13/3.39 tff(6298,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6299,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6300,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6299, 6298])).
% 3.13/3.39 tff(6301,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6300, 82, 2043, 264, 2257])).
% 3.13/3.39 tff(6302,plain,((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6303,plain,
% 3.13/3.39 (~r(s(s(elem!1)), s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6302, 6297, 2257])).
% 3.13/3.39 tff(6304,plain,
% 3.13/3.39 (b(s(s(elem!1)), s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[277, 6303, 2033])).
% 3.13/3.39 tff(6305,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[2077, 338, 763, 1595, 1564, 6304, 315, 1796])).
% 3.13/3.39 tff(6306,plain,((~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(6307,plain,
% 3.13/3.39 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[6306, 6295, 6285, 1846, 6283, 2620, 5171, 1844, 6281])).
% 3.13/3.39 tff(6308,plain,
% 3.13/3.39 (r(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1515, 6307, 2641])).
% 3.13/3.39 tff(6309,plain,
% 3.13/3.39 (~r(elem!1, s(s(s(elem!1))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[2028, 6308, 5691])).
% 3.13/3.39 tff(6310,plain,
% 3.13/3.39 (~b(s(elem!1), s(z))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[4623, 6289, 6279, 5691, 6291])).
% 3.13/3.39 tff(6311,plain,
% 3.13/3.39 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1804, 6283, 1846, 1844, 6285])).
% 3.13/3.39 tff(6312,plain,
% 3.13/3.39 (r(s(s(s(elem!1))), s(elem!1))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[1971, 6311, 5171])).
% 3.13/3.39 tff(6313,plain,
% 3.13/3.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(6314,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(6315,plain,
% 3.13/3.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(elem!1)))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[6314, 6313])).
% 3.13/3.40 tff(6316,plain,
% 3.13/3.40 ($false),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[6315, 82, 2043, 1854, 1973])).
% 3.13/3.40 tff(6317,plain,((~r(s(z), s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.40 tff(6318,plain,
% 3.13/3.40 (~r(s(z), s(s(s(elem!1))))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[6317, 6293, 6312])).
% 3.13/3.40 tff(6319,plain,
% 3.13/3.40 (b(s(z), s(s(s(elem!1))))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1870, 6318])).
% 3.13/3.40 tff(6320,plain,
% 3.13/3.40 (r(s(s(s(elem!1))), s(z))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1888, 6319, 6289, 1846, 1844])).
% 3.13/3.40 tff(6321,plain,
% 3.13/3.40 (r(s(elem!1), s(z))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[2070, 3114, 2065])).
% 3.13/3.40 tff(6322,plain,
% 3.13/3.40 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[3055, 6321, 1854])).
% 3.13/3.40 tff(6323,plain,
% 3.13/3.40 (b(s(elem!1), s(s(s(elem!1))))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1515, 6322, 210])).
% 3.13/3.40 tff(6324,plain,
% 3.13/3.40 (r(z, elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[353, 714, 177])).
% 3.13/3.40 tff(6325,plain,
% 3.13/3.40 (~r(s(s(elem!1)), elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[262, 6324, 165])).
% 3.13/3.40 tff(6326,plain,
% 3.13/3.40 (r(elem!1, z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[846, 1619, 3977])).
% 3.13/3.40 tff(6327,plain,
% 3.13/3.40 (b(s(s(elem!1)), elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[327, 6325, 197])).
% 3.13/3.40 tff(6328,plain,
% 3.13/3.40 (~(s(s(s(elem!1))) = elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[2149, 1595, 177])).
% 3.13/3.40 tff(6329,plain,
% 3.13/3.40 (~r(elem!1, s(s(elem!1)))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[287, 6324, 165])).
% 3.13/3.40 tff(6330,plain,
% 3.13/3.40 (b(elem!1, s(s(elem!1)))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[321, 6329, 137])).
% 3.13/3.40 tff(6331,plain,
% 3.13/3.40 (~r(s(s(s(elem!1))), z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[2177, 6330, 165, 6328, 6326, 6327, 6324])).
% 3.13/3.40 tff(6332,plain,
% 3.13/3.40 (b(s(s(s(elem!1))), z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1387, 6331])).
% 3.13/3.40 tff(6333,plain,
% 3.13/3.40 (~r(elem!1, s(elem!1))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[5355, 6332, 6323, 1595, 6326, 6324])).
% 3.13/3.40 tff(6334,plain,
% 3.13/3.40 (b(elem!1, s(elem!1))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[252, 6333, 1469])).
% 3.13/3.40 tff(6335,plain,
% 3.13/3.40 (~(elem!1 = z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[2759, 1807, 295])).
% 3.13/3.40 tff(6336,plain,
% 3.13/3.40 (b(s(elem!1), z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1812, 1807])).
% 3.13/3.40 tff(6337,plain,
% 3.13/3.40 (r(elem!1, z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[846, 6335, 3977])).
% 3.13/3.40 tff(6338,plain,
% 3.13/3.40 (~r(elem!1, s(s(elem!1)))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1081, 6337, 165])).
% 3.13/3.40 tff(6339,plain,
% 3.13/3.40 (b(elem!1, s(s(elem!1)))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[321, 6338, 137])).
% 3.13/3.40 tff(6340,plain,
% 3.13/3.40 (~(z = elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[2752, 6335])).
% 3.13/3.40 tff(6341,plain,
% 3.13/3.40 (r(z, elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[353, 6340, 177])).
% 3.13/3.40 tff(6342,plain,
% 3.13/3.40 (~r(s(s(elem!1)), elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[262, 6341, 165])).
% 3.13/3.40 tff(6343,plain,
% 3.13/3.40 (b(s(s(elem!1)), elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[327, 6342, 197])).
% 3.13/3.40 tff(6344,plain,
% 3.13/3.40 (~r(z, s(elem!1))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[272, 165, 264])).
% 3.13/3.40 tff(6345,plain,
% 3.13/3.40 (b(z, s(elem!1))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1615, 6344])).
% 3.13/3.40 tff(6346,plain,
% 3.13/3.40 (r(z, elem!1)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[353, 4711, 177])).
% 3.13/3.40 tff(6347,plain,
% 3.13/3.40 (r(elem!1, z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[846, 719, 3977])).
% 3.13/3.40 tff(6348,plain,
% 3.13/3.40 (~r(s(s(s(elem!1))), z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[2177, 6347, 762, 1271, 763, 165, 6346])).
% 3.13/3.40 tff(6349,plain,
% 3.13/3.40 (b(s(s(s(elem!1))), z)),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1387, 6348])).
% 3.13/3.40 tff(6350,plain,
% 3.13/3.40 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1361, 1353, 165])).
% 3.13/3.40 tff(6351,plain,
% 3.13/3.40 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.13/3.40 inference(unit_resolution,[status(thm)],[1292, 6350, 1288])).
% 3.13/3.40 tff(6352,plain,
% 3.13/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6353,plain,
% 3.23/3.40 (((~r(s(s(s(elem!1))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1)))))) <=> ((~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6354,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[6353])).
% 3.23/3.40 tff(6355,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)))),
% 3.23/3.40 inference(transitivity,[status(thm)],[6354, 6352])).
% 3.23/3.40 tff(6356,plain,
% 3.23/3.40 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(6357,plain,
% 3.23/3.40 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 3.23/3.40 tff(6358,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6357, 82, 234, 1269, 1353])).
% 3.23/3.40 tff(6359,plain,((~r(s(s(s(elem!1))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6360,plain,
% 3.23/3.40 (~r(s(s(s(elem!1))), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6359, 1353, 234])).
% 3.23/3.40 tff(6361,plain,
% 3.23/3.40 (b(s(s(s(elem!1))), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[2162, 6360, 1271])).
% 3.23/3.40 tff(6362,plain,
% 3.23/3.40 (~r(s(s(s(elem!1))), z)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[2177, 6347, 762, 1271, 763, 165, 234])).
% 3.23/3.40 tff(6363,plain,
% 3.23/3.40 (b(s(s(s(elem!1))), z)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1387, 6362])).
% 3.23/3.40 tff(6364,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6365,plain,
% 3.23/3.40 (((~r(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, z))) <=> ((~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6366,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1)))))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[6365])).
% 3.23/3.40 tff(6367,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.40 inference(transitivity,[status(thm)],[6366, 6364])).
% 3.23/3.40 tff(6368,plain,
% 3.23/3.40 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, z)))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(6369,plain,
% 3.23/3.40 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1)))))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[6368, 6367])).
% 3.23/3.40 tff(6370,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6369, 82, 802, 1950, 1353])).
% 3.23/3.40 tff(6371,plain,((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, z)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6372,plain,
% 3.23/3.40 (~r(elem!1, s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6371, 5135, 1353])).
% 3.23/3.40 tff(6373,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1944, 21, 6372, 1940, 5137])).
% 3.23/3.40 tff(6374,plain,(b(elem!1, z) | b(elem!1, s(s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (elem!1 = z) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6375,plain,
% 3.23/3.40 (b(elem!1, s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6374, 1353, 3977, 6363, 719])).
% 3.23/3.40 tff(6376,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[2175, 338, 763, 6375, 6361, 762, 6351])).
% 3.23/3.40 tff(6377,plain,((~r(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | (~r(z, elem!1)) | b(elem!1, z) | (elem!1 = z) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6378,plain,
% 3.23/3.40 (~r(z, s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6377, 6346, 762, 1271, 763, 3977, 719, 165])).
% 3.23/3.40 tff(6379,plain,
% 3.23/3.40 (b(z, s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1373, 6378])).
% 3.23/3.40 tff(6380,plain,
% 3.23/3.40 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1804, 6379, 1796, 6349, 6345])).
% 3.23/3.40 tff(6381,plain,
% 3.23/3.40 (r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1971, 6380, 1962])).
% 3.23/3.40 tff(6382,plain,
% 3.23/3.40 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[2048, 6381, 264])).
% 3.23/3.40 tff(6383,plain,
% 3.23/3.40 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1292, 6382, 1288])).
% 3.23/3.40 tff(6384,plain,
% 3.23/3.40 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6300, 82, 6381, 264])).
% 3.23/3.40 tff(6385,plain,
% 3.23/3.40 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[2619, 6384, 2612])).
% 3.23/3.40 tff(6386,assumption,(b(s(s(elem!1)), s(s(s(elem!1))))), introduced(assumption)).
% 3.23/3.40 tff(6387,assumption,(b(s(s(s(elem!1))), s(s(elem!1)))), introduced(assumption)).
% 3.23/3.40 tff(6388,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6389,plain,
% 3.23/3.40 (((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6390,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[6389])).
% 3.23/3.40 tff(6391,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.40 inference(transitivity,[status(thm)],[6390, 6388])).
% 3.23/3.40 tff(6392,plain,
% 3.23/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(6393,plain,
% 3.23/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[6392, 6391])).
% 3.23/3.40 tff(6394,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6393, 338, 763, 1929, 762, 6387, 6386])).
% 3.23/3.40 tff(6395,plain,((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6396,plain,
% 3.23/3.40 (~b(elem!1, s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6395, 6385, 763, 762, 6383])).
% 3.23/3.40 tff(6397,plain,
% 3.23/3.40 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1946, 6396, 1925])).
% 3.23/3.40 tff(6398,plain,
% 3.23/3.40 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[2028, 6397, 295])).
% 3.23/3.40 tff(6399,plain,
% 3.23/3.40 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1515, 6398, 215])).
% 3.23/3.40 tff(6400,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[5353, 338, 6379, 6349, 6345, 6399, 1796])).
% 3.23/3.40 tff(6401,plain,((elem!1 = z) | (~b(s(elem!1), z)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(s(elem!1))) = elem!1) | b(elem!1, z) | (~r(z, s(s(elem!1)))) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6402,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6401, 6343, 6339, 210, 295, 6336, 6335, 264, 1271, 3977, 165, 177])).
% 3.23/3.40 tff(6403,plain,(r(s(elem!1), z) | (~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(s(elem!1))) = elem!1) | b(elem!1, z) | (~r(z, s(s(elem!1)))) | b(z, elem!1) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6404,plain,
% 3.23/3.40 (~r(s(s(elem!1)), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6403, 4293, 165, 1271, 3977, 137, 177, 295])).
% 3.23/3.40 tff(6405,plain,
% 3.23/3.40 (b(s(s(elem!1)), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[277, 6404, 225])).
% 3.23/3.40 tff(6406,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[2077, 338, 745, 1595, 1564, 6405, 315, 4294])).
% 3.23/3.40 tff(6407,plain,((~r(s(elem!1), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | b(elem!1, z) | (elem!1 = s(s(elem!1))) | b(z, elem!1) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6408,plain,
% 3.23/3.40 (~r(s(elem!1), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6407, 6334, 1595, 6323, 165, 6328, 3977, 137, 177, 6324])).
% 3.23/3.40 tff(6409,plain,
% 3.23/3.40 (b(s(elem!1), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[312, 6408, 1474])).
% 3.23/3.40 tff(6410,plain,
% 3.23/3.40 (~b(s(s(elem!1)), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[346, 6409, 137, 6329, 6334, 6325])).
% 3.23/3.40 tff(6411,plain,
% 3.23/3.40 (r(s(s(elem!1)), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[277, 6410, 229])).
% 3.23/3.40 tff(6412,plain,
% 3.23/3.40 (~r(z, s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[272, 6411, 165])).
% 3.23/3.40 tff(6413,plain,
% 3.23/3.40 (b(z, s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1615, 6412])).
% 3.23/3.40 tff(6414,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6415,plain,
% 3.23/3.40 (((~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(elem!1)))) <=> ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6416,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z)))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[6415])).
% 3.23/3.40 tff(6417,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.23/3.40 inference(transitivity,[status(thm)],[6416, 6414])).
% 3.23/3.40 tff(6418,plain,
% 3.23/3.40 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(elem!1))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(6419,plain,
% 3.23/3.40 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 3.23/3.40 tff(6420,plain,
% 3.23/3.40 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6419, 82, 2588, 6321])).
% 3.23/3.40 tff(6421,plain,
% 3.23/3.40 (b(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1971, 6420, 218])).
% 3.23/3.40 tff(6422,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1603, 338, 6421, 1595, 6332, 6413, 6323])).
% 3.23/3.40 tff(6423,plain,((z = elem!1) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(z))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | (~r(s(z), s(s(s(elem!1))))) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6424,plain,
% 3.23/3.40 (~r(s(z), s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6423, 714, 2588, 165, 229, 137, 3977, 177, 1595, 2065])).
% 3.23/3.40 tff(6425,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6426,plain,
% 3.23/3.40 (((~r(s(s(s(elem!1))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(elem!1)))))) <=> ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6427,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z)))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[6426])).
% 3.23/3.40 tff(6428,plain,
% 3.23/3.40 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.23/3.40 inference(transitivity,[status(thm)],[6427, 6425])).
% 3.23/3.40 tff(6429,plain,
% 3.23/3.40 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(6430,plain,
% 3.23/3.40 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 3.23/3.40 tff(6431,plain,
% 3.23/3.40 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6430, 82, 2588, 6321])).
% 3.23/3.40 tff(6432,plain,
% 3.23/3.40 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1515, 6431, 210])).
% 3.23/3.40 tff(6433,plain,
% 3.23/3.40 (~r(elem!1, s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[5355, 6432, 6332, 1595, 6326, 6324])).
% 3.23/3.40 tff(6434,plain,
% 3.23/3.40 (b(elem!1, s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[252, 6433, 1469])).
% 3.23/3.40 tff(6435,plain,
% 3.23/3.40 (~r(s(elem!1), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6407, 6434, 1595, 6432, 165, 6328, 3977, 137, 177, 6324])).
% 3.23/3.40 tff(6436,plain,
% 3.23/3.40 (b(s(elem!1), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[312, 6435, 1474])).
% 3.23/3.40 tff(6437,plain,
% 3.23/3.40 (~b(s(s(elem!1)), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[346, 6436, 137, 6329, 6434, 6325])).
% 3.23/3.40 tff(6438,plain,
% 3.23/3.40 (r(s(s(elem!1)), s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[277, 6437, 229])).
% 3.23/3.40 tff(6439,plain,
% 3.23/3.40 (~r(z, s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[272, 6438, 165])).
% 3.23/3.40 tff(6440,plain,
% 3.23/3.40 (b(z, s(elem!1))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1615, 6439])).
% 3.23/3.40 tff(6441,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6442,plain,
% 3.23/3.40 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(6443,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[6442])).
% 3.23/3.40 tff(6444,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))),
% 3.23/3.40 inference(transitivity,[status(thm)],[6443, 6441])).
% 3.23/3.40 tff(6445,plain,
% 3.23/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(6446,plain,
% 3.23/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[6445, 6444])).
% 3.23/3.40 tff(6447,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6446, 338, 1595, 6332, 6440, 6432, 1740, 1880])).
% 3.23/3.40 tff(6448,plain,((z = elem!1) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | (~r(s(s(s(elem!1))), s(z))) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6449,plain,
% 3.23/3.40 (~b(s(z), s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6448, 714, 1740, 1595, 165, 229, 137, 3977, 177, 2588, 2065])).
% 3.23/3.40 tff(6450,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1870, 6449, 6424])).
% 3.23/3.40 tff(6451,plain,((z = elem!1) | (~b(s(z), z)) | (~b(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | (~r(s(s(s(elem!1))), s(z))) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6452,plain,
% 3.23/3.40 (b(elem!1, z)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6451, 6320, 6310, 6278, 177, 162, 1846, 1344, 6289, 2639])).
% 3.23/3.40 tff(6453,plain,
% 3.23/3.40 (~b(elem!1, s(s(s(elem!1))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[5201, 6452, 2631, 1846, 1844])).
% 3.23/3.40 tff(6454,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1946, 6453, 6309, 1925])).
% 3.23/3.40 tff(6455,plain,((s(s(s(elem!1))) = elem!1) | b(z, elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(elem!1), elem!1) | r(s(s(s(elem!1))), elem!1) | b(z, s(s(elem!1))) | b(s(z), elem!1) | b(s(s(s(elem!1))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6456,plain,
% 3.23/3.40 (b(s(elem!1), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6455, 5690, 2581, 177, 2582, 140, 1318, 1270])).
% 3.23/3.40 tff(6457,plain,
% 3.23/3.40 (s(z) = s(elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[5210, 1619, 754, 165, 1271, 314, 6324, 1270, 2582])).
% 3.23/3.40 tff(6458,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1919, 6457, 3114])).
% 3.23/3.40 tff(6459,plain,((z = elem!1) | (~r(s(z), elem!1)) | (~r(z, s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | (~b(s(elem!1), elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6460,plain,
% 3.23/3.40 (z = elem!1),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6459, 5409, 162, 5690, 6456, 1270, 2582, 177])).
% 3.23/3.40 tff(6461,plain,
% 3.23/3.40 (s(z) = s(elem!1)),
% 3.23/3.40 inference(monotonicity,[status(thm)],[6460])).
% 3.23/3.40 tff(6462,plain,
% 3.23/3.40 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.23/3.40 inference(monotonicity,[status(thm)],[6461])).
% 3.23/3.40 tff(6463,plain,
% 3.23/3.40 (b(s(elem!1), elem!1) <=> b(s(z), elem!1)),
% 3.23/3.40 inference(symmetry,[status(thm)],[6462])).
% 3.23/3.40 tff(6464,plain,
% 3.23/3.40 (b(s(z), elem!1)),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[6456, 6463])).
% 3.23/3.40 tff(6465,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1318, 6464])).
% 3.23/3.40 tff(6466,plain,(b(z, elem!1) | b(s(z), elem!1) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(6467,plain,
% 3.23/3.40 (b(z, elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[6466, 2582, 1270, 1318, 2581, 140])).
% 3.23/3.40 tff(6468,plain,
% 3.23/3.40 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[4540, 6467, 140])).
% 3.23/3.40 tff(6469,plain,
% 3.23/3.40 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1292, 6468, 1270])).
% 3.23/3.40 tff(6470,plain,
% 3.23/3.40 (~r(s(s(s(elem!1))), z)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[1309, 6469, 162])).
% 3.23/3.40 tff(6471,plain,
% 3.23/3.40 (b(s(s(s(elem!1))), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1387, 6470])).
% 3.23/3.41 tff(6472,plain,
% 3.23/3.41 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2611, 6468])).
% 3.23/3.41 tff(6473,plain,
% 3.23/3.41 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2619, 6472, 2581])).
% 3.23/3.41 tff(6474,plain,
% 3.23/3.41 (~(s(s(elem!1)) = s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1343, 6468])).
% 3.23/3.41 tff(6475,plain,
% 3.23/3.41 (~(elem!1 = s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[231, 6474])).
% 3.23/3.41 tff(6476,plain,
% 3.23/3.41 (~(s(elem!1) = elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1473, 6475])).
% 3.23/3.41 tff(6477,plain,
% 3.23/3.41 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4643, 1271, 1021, 1388, 1374, 2582])).
% 3.23/3.41 tff(6478,plain,
% 3.23/3.41 (~r(elem!1, s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4436, 6477, 1294])).
% 3.23/3.41 tff(6479,plain,
% 3.23/3.41 (b(elem!1, s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[321, 6478, 2639])).
% 3.23/3.41 tff(6480,plain,
% 3.23/3.41 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6481,plain,
% 3.23/3.41 (((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6482,plain,
% 3.23/3.41 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6481])).
% 3.23/3.41 tff(6483,plain,
% 3.23/3.41 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.41 inference(transitivity,[status(thm)],[6482, 6480])).
% 3.23/3.41 tff(6484,plain,
% 3.23/3.41 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)))),
% 3.23/3.41 inference(quant_inst,[status(thm)],[])).
% 3.23/3.41 tff(6485,plain,
% 3.23/3.41 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6484, 6483])).
% 3.23/3.41 tff(6486,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6485, 82, 1950, 254, 2257])).
% 3.23/3.41 tff(6487,plain,((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6488,plain,
% 3.23/3.41 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6487, 6477, 2257])).
% 3.23/3.41 tff(6489,plain,
% 3.23/3.41 (b(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[327, 6488, 2640])).
% 3.23/3.41 tff(6490,plain,
% 3.23/3.41 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2054, 5171, 165, 6489, 1294, 306, 6477, 6479])).
% 3.23/3.41 tff(6491,plain,
% 3.23/3.41 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1515, 6490, 2641])).
% 3.23/3.41 tff(6492,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6493,plain,
% 3.23/3.41 (((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6494,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6493])).
% 3.23/3.41 tff(6495,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)))),
% 3.23/3.41 inference(transitivity,[status(thm)],[6494, 6492])).
% 3.23/3.41 tff(6496,plain,
% 3.23/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))),
% 3.23/3.41 inference(quant_inst,[status(thm)],[])).
% 3.23/3.41 tff(6497,plain,
% 3.23/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 3.23/3.41 tff(6498,plain,
% 3.23/3.41 (~b(s(elem!1), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6497, 338, 1021, 1374, 1388, 2631, 6491])).
% 3.23/3.41 tff(6499,plain,
% 3.23/3.41 (r(s(elem!1), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1812, 6498])).
% 3.23/3.41 tff(6500,plain,
% 3.23/3.41 (~b(elem!1, z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3027, 2631, 1021, 1374, 1388])).
% 3.23/3.41 tff(6501,plain,
% 3.23/3.41 (r(elem!1, z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[846, 6500, 1037])).
% 3.23/3.41 tff(6502,plain,
% 3.23/3.41 (~r(elem!1, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[5187, 6499, 6501])).
% 3.23/3.41 tff(6503,plain,
% 3.23/3.41 (~b(s(elem!1), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[5175, 6502, 1271, 6478, 6488, 165, 1270, 2582])).
% 3.23/3.41 tff(6504,plain,
% 3.23/3.41 (r(s(elem!1), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[312, 6503, 306])).
% 3.23/3.41 tff(6505,plain,
% 3.23/3.41 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z)))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6506,plain,
% 3.23/3.41 (((~r(elem!1, z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1))) <=> ((~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z)))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6507,plain,
% 3.23/3.41 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6506])).
% 3.23/3.41 tff(6508,plain,
% 3.23/3.41 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z)))),
% 3.23/3.41 inference(transitivity,[status(thm)],[6507, 6505])).
% 3.23/3.41 tff(6509,plain,
% 3.23/3.41 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)))),
% 3.23/3.41 inference(quant_inst,[status(thm)],[])).
% 3.23/3.41 tff(6510,plain,
% 3.23/3.41 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), z))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6509, 6508])).
% 3.23/3.41 tff(6511,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6510, 82, 6501, 6504, 6499])).
% 3.23/3.41 tff(6512,plain,((s(s(s(elem!1))) = elem!1) | (s(elem!1) = elem!1) | (~r(z, s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (~b(z, elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6513,plain,
% 3.23/3.41 (s(s(s(elem!1))) = elem!1),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6512, 6476, 162, 1270, 2582, 6467, 6469, 6473])).
% 3.23/3.41 tff(6514,plain,
% 3.23/3.41 (r(z, s(s(s(elem!1)))) <=> r(z, elem!1)),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6513])).
% 3.23/3.41 tff(6515,plain,
% 3.23/3.41 ((~r(z, s(s(s(elem!1))))) <=> (~r(z, elem!1))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6514])).
% 3.23/3.41 tff(6516,plain,
% 3.23/3.41 (~r(z, s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1361, 6469, 162])).
% 3.23/3.41 tff(6517,plain,
% 3.23/3.41 (~r(z, elem!1)),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 3.23/3.41 tff(6518,plain,
% 3.23/3.41 (b(z, s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1373, 6516])).
% 3.23/3.41 tff(6519,plain,
% 3.23/3.41 (~r(s(z), s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4229, 6518, 1270, 140])).
% 3.23/3.41 tff(6520,assumption,(~r(s(z), s(s(elem!1)))), introduced(assumption)).
% 3.23/3.41 tff(6521,plain,
% 3.23/3.41 (b(s(z), s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[743, 6520])).
% 3.23/3.41 tff(6522,plain,
% 3.23/3.41 (b(elem!1, s(s(elem!1)))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6521, 5271])).
% 3.23/3.41 tff(6523,plain,
% 3.23/3.41 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[749])).
% 3.23/3.41 tff(6524,plain,
% 3.23/3.41 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 3.23/3.41 inference(transitivity,[status(thm)],[6523, 1254])).
% 3.23/3.41 tff(6525,plain,
% 3.23/3.41 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6524])).
% 3.23/3.41 tff(6526,plain,
% 3.23/3.41 (~(s(s(s(elem!1))) = elem!1)),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[1263, 6525])).
% 3.23/3.41 tff(6527,plain,
% 3.23/3.41 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4643, 6526, 1021, 1388, 1374, 2582])).
% 3.23/3.41 tff(6528,plain,
% 3.23/3.41 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6487, 6527, 2257])).
% 3.23/3.41 tff(6529,plain,
% 3.23/3.41 (b(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[327, 6528, 1447])).
% 3.23/3.41 tff(6530,plain,
% 3.23/3.41 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2054, 6529, 165, 1485, 1294, 306, 6527, 6522])).
% 3.23/3.41 tff(6531,plain,
% 3.23/3.41 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1515, 6530, 1501])).
% 3.23/3.41 tff(6532,plain,
% 3.23/3.41 (b(s(s(s(elem!1))), s(z)) <=> b(s(s(s(elem!1))), elem!1)),
% 3.23/3.41 inference(monotonicity,[status(thm)],[749])).
% 3.23/3.41 tff(6533,plain,
% 3.23/3.41 (b(s(s(s(elem!1))), elem!1)),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[5431, 6532])).
% 3.23/3.41 tff(6534,plain,
% 3.23/3.41 (~b(s(elem!1), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6497, 338, 1021, 1374, 1388, 6533, 6531])).
% 3.23/3.41 tff(6535,plain,
% 3.23/3.41 (r(s(elem!1), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1812, 6534])).
% 3.23/3.41 tff(6536,plain,
% 3.23/3.41 (~r(elem!1, s(s(elem!1)))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6520, 5256])).
% 3.23/3.41 tff(6537,plain,
% 3.23/3.41 (~b(elem!1, z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3027, 6533, 1021, 1374, 1388])).
% 3.23/3.41 tff(6538,plain,
% 3.23/3.41 (r(elem!1, z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[846, 6537, 1037])).
% 3.23/3.41 tff(6539,plain,
% 3.23/3.41 (~r(elem!1, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[5187, 6535, 6538])).
% 3.23/3.41 tff(6540,plain,
% 3.23/3.41 (~b(s(elem!1), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[5175, 6539, 6526, 6536, 6528, 165, 1270, 2582])).
% 3.23/3.41 tff(6541,plain,
% 3.23/3.41 (r(s(elem!1), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[312, 6540, 306])).
% 3.23/3.41 tff(6542,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6510, 82, 6538, 6541, 6535])).
% 3.23/3.41 tff(6543,plain,((~(s(z) = elem!1)) | (s(elem!1) = elem!1) | (~r(z, s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (~b(z, elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | r(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6544,plain,
% 3.23/3.41 (~(s(z) = elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6543, 6476, 162, 1270, 2582, 6467, 6469, 6473, 5245, 6519])).
% 3.23/3.41 tff(6545,plain,
% 3.23/3.41 (r(s(z), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[701, 6544, 1318])).
% 3.23/3.41 tff(6546,plain,
% 3.23/3.41 (~(elem!1 = z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1036, 6467])).
% 3.23/3.41 tff(6547,plain,
% 3.23/3.41 (~(z = elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2752, 6546])).
% 3.23/3.41 tff(6548,plain,
% 3.23/3.41 (b(s(z), s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[743, 6519])).
% 3.23/3.41 tff(6549,plain,
% 3.23/3.41 (~(s(elem!1) = s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1912, 6547])).
% 3.23/3.41 tff(6550,plain,
% 3.23/3.41 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6513])).
% 3.23/3.41 tff(6551,plain,
% 3.23/3.41 (r(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6473, 6550])).
% 3.23/3.41 tff(6552,plain,
% 3.23/3.41 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(z))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6553,plain,
% 3.23/3.41 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(z))))),
% 3.23/3.41 inference(quant_inst,[status(thm)],[])).
% 3.23/3.41 tff(6554,plain,
% 3.23/3.41 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(z)))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 3.23/3.41 tff(6555,plain,
% 3.23/3.41 (~r(s(s(elem!1)), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6554, 82, 6551, 6545])).
% 3.23/3.41 tff(6556,plain,
% 3.23/3.41 (b(s(s(elem!1)), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[784, 6555])).
% 3.23/3.41 tff(6557,plain,
% 3.23/3.41 (~(s(elem!1) = s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1786, 6474])).
% 3.23/3.41 tff(6558,plain,
% 3.23/3.41 (~(s(s(elem!1)) = elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2663, 6513, 6472])).
% 3.23/3.41 tff(6559,plain,
% 3.23/3.41 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[209, 6558])).
% 3.23/3.41 tff(6560,plain,
% 3.23/3.41 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2676, 305, 2143])).
% 3.23/3.41 tff(6561,plain,
% 3.23/3.41 (r(s(elem!1), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[312, 305, 306])).
% 3.23/3.41 tff(6562,plain,
% 3.23/3.41 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3094, 6561, 2143, 1788, 764, 754, 1294, 1917, 747])).
% 3.23/3.41 tff(6563,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1515, 6562, 6560, 215])).
% 3.23/3.41 tff(6564,plain,(b(s(elem!1), elem!1) | (s(elem!1) = s(s(s(elem!1)))) | (~(s(s(s(elem!1))) = elem!1)) | (s(elem!1) = s(s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(z)) | (~b(s(z), s(s(elem!1)))) | (s(elem!1) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6565,plain,
% 3.23/3.41 (b(s(elem!1), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6564, 6559, 6513, 6557, 6556, 6545, 6469, 6549, 6548, 6476])).
% 3.23/3.41 tff(6566,plain,
% 3.23/3.41 (~r(s(s(s(elem!1))), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[5158, 6565, 2582, 1270, 6547, 6545, 2581, 140, 6517])).
% 3.23/3.41 tff(6567,plain,
% 3.23/3.41 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6513])).
% 3.23/3.41 tff(6568,plain,
% 3.23/3.41 (r(z, s(s(s(s(elem!1))))) <=> r(z, s(elem!1))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6567])).
% 3.23/3.41 tff(6569,plain,
% 3.23/3.41 (r(z, s(elem!1)) <=> r(z, s(s(s(s(elem!1)))))),
% 3.23/3.41 inference(symmetry,[status(thm)],[6568])).
% 3.23/3.41 tff(6570,plain,
% 3.23/3.41 (elem!1 = s(s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3379, 6513])).
% 3.23/3.41 tff(6571,plain,
% 3.23/3.41 (b(elem!1, z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3979, 6570, 6471])).
% 3.23/3.41 tff(6572,plain,
% 3.23/3.41 (~(s(z) = s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1919, 6549])).
% 3.23/3.41 tff(6573,plain,
% 3.23/3.41 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[217, 6559])).
% 3.23/3.41 tff(6574,plain,
% 3.23/3.41 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1490, 6573])).
% 3.23/3.41 tff(6575,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1591, 4831])).
% 3.23/3.41 tff(6576,plain,(b(s(s(s(s(elem!1)))), elem!1) | (~b(s(elem!1), elem!1)) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6577,plain,
% 3.23/3.41 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6576, 6565, 6513])).
% 3.23/3.41 tff(6578,plain,
% 3.23/3.41 (b(s(elem!1), s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4703, 6577, 6467, 6571, 162, 6574, 6513, 6557])).
% 3.23/3.41 tff(6579,plain,
% 3.23/3.41 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6513])).
% 3.23/3.41 tff(6580,plain,
% 3.23/3.41 (r(elem!1, s(s(elem!1)))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6469, 6579])).
% 3.23/3.41 tff(6581,plain,
% 3.23/3.41 (r(s(s(s(elem!1))), z) <=> r(elem!1, z)),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6513])).
% 3.23/3.41 tff(6582,plain,
% 3.23/3.41 ((~r(s(s(s(elem!1))), z)) <=> (~r(elem!1, z))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6581])).
% 3.23/3.41 tff(6583,plain,
% 3.23/3.41 (~r(elem!1, z)),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6470, 6582])).
% 3.23/3.41 tff(6584,plain,
% 3.23/3.41 (b(z, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1615, 4708])).
% 3.23/3.41 tff(6585,plain,
% 3.23/3.41 (b(elem!1, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[252, 4707, 246])).
% 3.23/3.41 tff(6586,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4722, 6585, 6584, 314, 719, 1729, 864])).
% 3.23/3.41 tff(6587,plain,((~r(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)) | (elem!1 = z) | r(z, elem!1) | r(elem!1, z) | (elem!1 = s(elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6588,plain,
% 3.23/3.41 (~r(s(s(elem!1)), s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6587, 6565, 6546, 6583, 6517, 6475, 6580, 162])).
% 3.23/3.41 tff(6589,plain,
% 3.23/3.41 (b(s(s(elem!1)), s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[277, 6588, 6474])).
% 3.23/3.41 tff(6590,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6591,plain,
% 3.23/3.41 (((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1)))) <=> ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6592,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6591])).
% 3.23/3.41 tff(6593,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.41 inference(transitivity,[status(thm)],[6592, 6590])).
% 3.23/3.41 tff(6594,plain,
% 3.23/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.23/3.41 inference(quant_inst,[status(thm)],[])).
% 3.23/3.41 tff(6595,plain,
% 3.23/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 3.23/3.41 tff(6596,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6595, 338, 316, 747, 764, 1620, 3083])).
% 3.23/3.41 tff(6597,plain,((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6598,plain,
% 3.23/3.41 (~b(s(z), s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6597, 6589, 6548, 6556, 6578])).
% 3.23/3.41 tff(6599,plain,
% 3.23/3.41 (r(s(z), s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3066, 6598, 6572])).
% 3.23/3.41 tff(6600,plain,
% 3.23/3.41 (~r(elem!1, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1981, 6599, 6545])).
% 3.23/3.41 tff(6601,plain,
% 3.23/3.41 (b(elem!1, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[252, 6600, 6475])).
% 3.23/3.41 tff(6602,plain,
% 3.23/3.41 (~b(z, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4720, 6601, 6467, 6565, 6571])).
% 3.23/3.41 tff(6603,plain,
% 3.23/3.41 (r(z, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1615, 6602])).
% 3.23/3.41 tff(6604,plain,
% 3.23/3.41 (r(z, s(s(s(s(elem!1)))))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6603, 6569])).
% 3.23/3.41 tff(6605,plain,
% 3.23/3.41 (b(s(z), s(s(s(s(elem!1))))) <=> b(s(z), s(elem!1))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6567])).
% 3.23/3.41 tff(6606,plain,
% 3.23/3.41 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.41 inference(symmetry,[status(thm)],[6605])).
% 3.23/3.41 tff(6607,plain,
% 3.23/3.41 ((~b(s(z), s(elem!1))) <=> (~b(s(z), s(s(s(s(elem!1))))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6606])).
% 3.23/3.41 tff(6608,plain,
% 3.23/3.41 (~b(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6598, 6607])).
% 3.23/3.41 tff(6609,plain,
% 3.23/3.41 (r(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2239, 6608])).
% 3.23/3.41 tff(6610,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[5863, 6609, 6604, 6518, 6566, 6471])).
% 3.23/3.41 tff(6611,plain,(r(s(s(s(elem!1))), elem!1) | b(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(elem!1))) | b(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6612,plain,
% 3.23/3.41 (r(s(s(s(elem!1))), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6611, 140, 2581, 1270, 1318])).
% 3.23/3.41 tff(6613,plain,
% 3.23/3.41 (s(s(s(elem!1))) = elem!1),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2097, 6612, 1318, 140, 1270])).
% 3.23/3.41 tff(6614,plain,
% 3.23/3.41 (elem!1 = s(s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3379, 6613])).
% 3.23/3.41 tff(6615,plain,
% 3.23/3.41 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6614])).
% 3.23/3.41 tff(6616,plain,
% 3.23/3.41 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(symmetry,[status(thm)],[6615])).
% 3.23/3.41 tff(6617,plain,
% 3.23/3.41 ((~b(s(s(elem!1)), s(s(s(elem!1))))) <=> (~b(s(s(elem!1)), elem!1))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6616])).
% 3.23/3.41 tff(6618,plain,
% 3.23/3.41 (~b(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[2581, 6617])).
% 3.23/3.41 tff(6619,plain,
% 3.23/3.41 (~r(z, elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6359, 3361, 1269])).
% 3.23/3.41 tff(6620,plain,
% 3.23/3.41 (z = elem!1),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[353, 6619, 177])).
% 3.23/3.41 tff(6621,plain,
% 3.23/3.41 (r(s(s(s(elem!1))), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1316, 6620, 1269])).
% 3.23/3.41 tff(6622,plain,
% 3.23/3.41 (r(elem!1, z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3385, 6621, 3380])).
% 3.23/3.41 tff(6623,plain,
% 3.23/3.41 (elem!1 = z),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2752, 6620])).
% 3.23/3.41 tff(6624,plain,
% 3.23/3.41 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[1353, 2798])).
% 3.23/3.41 tff(6625,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1941, 6624])).
% 3.23/3.41 tff(6626,plain,((~(elem!1 = z)) | r(elem!1, s(s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6627,plain,
% 3.23/3.41 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6626, 6623, 3361])).
% 3.23/3.41 tff(6628,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2167, 6627, 6621, 6622])).
% 3.23/3.41 tff(6629,plain,(b(z, elem!1) | (~r(s(s(s(elem!1))), elem!1)) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6630,plain,
% 3.23/3.41 (b(z, elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6629, 6612, 6613])).
% 3.23/3.41 tff(6631,plain,
% 3.23/3.41 (~(s(s(elem!1)) = elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1897, 6630, 140])).
% 3.23/3.41 tff(6632,plain,
% 3.23/3.41 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4540, 6630, 140])).
% 3.23/3.41 tff(6633,plain,
% 3.23/3.41 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1292, 6632, 1270])).
% 3.23/3.41 tff(6634,plain,
% 3.23/3.41 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1299, 6633, 6612])).
% 3.23/3.41 tff(6635,plain,
% 3.23/3.41 (b(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[327, 6634, 6631])).
% 3.23/3.41 tff(6636,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6635, 6618])).
% 3.23/3.41 tff(6637,plain,(b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | b(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(6638,plain,
% 3.23/3.41 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[6637, 2580, 140, 2574])).
% 3.23/3.41 tff(6639,plain,
% 3.23/3.41 (~r(elem!1, s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[287, 2531, 162])).
% 3.23/3.41 tff(6640,plain,
% 3.23/3.41 (b(elem!1, s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[321, 6639, 137])).
% 3.23/3.41 tff(6641,plain,
% 3.23/3.41 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 3.23/3.41 inference(monotonicity,[status(thm)],[2577])).
% 3.23/3.41 tff(6642,plain,
% 3.23/3.41 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 3.23/3.41 inference(monotonicity,[status(thm)],[2530])).
% 3.23/3.41 tff(6643,plain,
% 3.23/3.41 (b(s(s(s(s(z)))), elem!1)),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[2911, 6642])).
% 3.23/3.41 tff(6644,plain,
% 3.23/3.41 (b(s(s(s(elem!1))), elem!1)),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[6643, 6641])).
% 3.23/3.41 tff(6645,plain,
% 3.23/3.41 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1412, 2530])).
% 3.23/3.41 tff(6646,plain,
% 3.23/3.41 (~r(z, s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[348, 2531, 162, 137])).
% 3.23/3.41 tff(6647,plain,
% 3.23/3.41 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[189, 6646, 150])).
% 3.23/3.41 tff(6648,plain,
% 3.23/3.41 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[368, 6647, 62])).
% 3.23/3.41 tff(6649,plain,
% 3.23/3.41 (~r(z, s(s(s(s(z)))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[379, 6648, 162])).
% 3.23/3.41 tff(6650,plain,
% 3.23/3.41 (b(z, s(s(s(s(z)))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[391, 6649])).
% 3.23/3.41 tff(6651,plain,
% 3.23/3.41 (b(z, s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2141, 6650, 6645])).
% 3.23/3.41 tff(6652,plain,
% 3.23/3.41 (~(s(s(s(elem!1))) = elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2149, 6651, 177])).
% 3.23/3.41 tff(6653,plain,
% 3.23/3.41 (~(elem!1 = s(s(s(elem!1))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1924, 6652])).
% 3.23/3.41 tff(6654,plain,
% 3.23/3.41 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[262, 2531, 162])).
% 3.23/3.41 tff(6655,plain,
% 3.23/3.41 (b(s(s(elem!1)), elem!1)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[327, 6654, 197])).
% 3.23/3.41 tff(6656,plain,
% 3.23/3.41 (~(s(s(elem!1)) = s(elem!1))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[5453, 2036])).
% 3.23/3.41 tff(6657,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6658,plain,
% 3.23/3.41 (((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(6659,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[6658])).
% 3.23/3.41 tff(6660,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.23/3.41 inference(transitivity,[status(thm)],[6659, 6657])).
% 3.23/3.41 tff(6661,plain,
% 3.23/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(6662,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[6661, 6660])).
% 3.23/3.42 tff(6663,plain,
% 3.23/3.42 (~b(s(elem!1), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6662, 338, 763, 1595, 2636, 6387, 1564])).
% 3.23/3.42 tff(6664,plain,
% 3.23/3.42 (r(s(elem!1), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1810, 21, 736, 6663])).
% 3.23/3.42 tff(6665,plain,
% 3.23/3.42 (~r(s(elem!1), elem!1)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2764, 6664, 234])).
% 3.23/3.42 tff(6666,plain,
% 3.23/3.42 (b(s(elem!1), elem!1)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[310, 21, 6665, 306])).
% 3.23/3.42 tff(6667,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6668,plain,
% 3.23/3.42 (((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6669,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6668])).
% 3.23/3.42 tff(6670,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.23/3.42 inference(transitivity,[status(thm)],[6669, 6667])).
% 3.23/3.42 tff(6671,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(6672,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[6671, 6670])).
% 3.23/3.42 tff(6673,plain,
% 3.23/3.42 (~b(s(s(elem!1)), s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6672, 338, 763, 2636, 762, 6387, 6666])).
% 3.23/3.42 tff(6674,plain,
% 3.23/3.42 (r(s(s(elem!1)), s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[277, 6673, 6656])).
% 3.23/3.42 tff(6675,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6676,plain,
% 3.23/3.42 (((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6677,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6676])).
% 3.23/3.42 tff(6678,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.23/3.42 inference(transitivity,[status(thm)],[6677, 6675])).
% 3.23/3.42 tff(6679,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(6680,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[6679, 6678])).
% 3.23/3.42 tff(6681,plain,
% 3.23/3.42 (~b(z, s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6680, 338, 763, 1595, 2636, 6387, 1564])).
% 3.23/3.42 tff(6682,plain,
% 3.23/3.42 (r(z, s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1615, 6681])).
% 3.23/3.42 tff(6683,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[270, 82, 6682, 165, 6674])).
% 3.23/3.42 tff(6684,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(6685,plain,
% 3.23/3.42 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6684, 763, 165, 2636, 762, 6387, 306, 234, 1595])).
% 3.23/3.42 tff(6686,plain,
% 3.23/3.42 (r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1515, 6685, 215])).
% 3.23/3.42 tff(6687,plain,
% 3.23/3.42 (~r(elem!1, s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1959, 6686, 1950])).
% 3.23/3.42 tff(6688,plain,
% 3.23/3.42 (b(elem!1, s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[252, 6687, 2036])).
% 3.23/3.42 tff(6689,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6690,plain,
% 3.23/3.42 (((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6691,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6690])).
% 3.23/3.42 tff(6692,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.23/3.42 inference(transitivity,[status(thm)],[6691, 6689])).
% 3.23/3.42 tff(6693,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(6694,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 3.23/3.42 tff(6695,plain,
% 3.23/3.42 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6694, 338, 763, 2636, 762, 6387])).
% 3.23/3.42 tff(6696,plain,
% 3.23/3.42 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1280, 6656])).
% 3.23/3.42 tff(6697,plain,
% 3.23/3.42 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2611, 6696])).
% 3.23/3.42 tff(6698,plain,
% 3.23/3.42 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2617, 21, 6697, 6695])).
% 3.23/3.42 tff(6699,plain,
% 3.23/3.42 (~r(s(s(elem!1)), s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2627, 82, 6686, 6698])).
% 3.23/3.42 tff(6700,plain,
% 3.23/3.42 (b(s(s(elem!1)), s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[277, 6699, 6656])).
% 3.23/3.42 tff(6701,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6702,plain,
% 3.23/3.42 (((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6703,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6702])).
% 3.23/3.42 tff(6704,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.42 inference(transitivity,[status(thm)],[6703, 6701])).
% 3.23/3.42 tff(6705,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(6706,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 3.23/3.42 tff(6707,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6706, 338, 763, 2636, 762, 6387, 6700, 6688])).
% 3.23/3.42 tff(6708,plain,((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(6709,plain,
% 3.23/3.42 (~r(elem!1, s(s(s(elem!1))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6708, 6638, 162, 2531, 6644, 6640, 6651, 294, 6655, 210])).
% 3.23/3.42 tff(6710,plain,
% 3.23/3.42 (b(elem!1, s(s(s(elem!1))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1946, 6709, 6653])).
% 3.23/3.42 tff(6711,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2175, 338, 6655, 6710, 6644, 6640, 6638])).
% 3.23/3.42 tff(6712,plain,(b(z, elem!1) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(elem!1))) | b(z, s(s(s(z)))) | b(s(s(s(z))), z) | b(s(z), z) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(6713,plain,
% 3.23/3.42 (b(z, elem!1)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6712, 2528, 62, 140, 137, 138, 129, 1, 176])).
% 3.23/3.42 tff(6714,plain,
% 3.23/3.42 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1119, 371, 164])).
% 3.23/3.42 tff(6715,plain,
% 3.23/3.42 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1011, 6714])).
% 3.23/3.42 tff(6716,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[5079, 5910, 6715, 458, 544, 2911])).
% 3.23/3.42 tff(6717,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(6718,plain,
% 3.23/3.42 (~r(z, s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6717, 438, 2528, 27, 150])).
% 3.23/3.42 tff(6719,plain,
% 3.23/3.42 (b(z, s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[391, 6718])).
% 3.23/3.42 tff(6720,plain,
% 3.23/3.42 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2324, 6719, 140])).
% 3.23/3.42 tff(6721,plain,
% 3.23/3.42 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[368, 6720, 62])).
% 3.23/3.42 tff(6722,plain,
% 3.23/3.42 (~r(s(s(s(z))), s(s(elem!1)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[173, 165, 164])).
% 3.23/3.42 tff(6723,plain,
% 3.23/3.42 (~r(s(s(s(z))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[432, 405, 136])).
% 3.23/3.42 tff(6724,plain,
% 3.23/3.42 (b(s(s(s(z))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[437, 6723])).
% 3.23/3.42 tff(6725,plain,
% 3.23/3.42 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6726,plain,
% 3.23/3.42 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z)))) <=> ((~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6727,plain,
% 3.23/3.42 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6726])).
% 3.23/3.42 tff(6728,plain,
% 3.23/3.42 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.23/3.42 inference(transitivity,[status(thm)],[6727, 6725])).
% 3.23/3.42 tff(6729,plain,
% 3.23/3.42 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z))))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(6730,plain,
% 3.23/3.42 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 3.23/3.42 tff(6731,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6730, 82, 786, 72, 370])).
% 3.23/3.42 tff(6732,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(6733,plain,
% 3.23/3.42 (~r(s(s(elem!1)), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6732, 72, 370])).
% 3.23/3.42 tff(6734,plain,
% 3.23/3.42 (b(s(s(elem!1)), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[784, 6733])).
% 3.23/3.42 tff(6735,plain,
% 3.23/3.42 (~r(z, s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6717, 458, 2911, 405, 164])).
% 3.23/3.42 tff(6736,plain,
% 3.23/3.42 (b(z, s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[391, 6735])).
% 3.23/3.42 tff(6737,plain,
% 3.23/3.42 (~r(s(s(z)), s(s(s(z))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[572, 540, 175, 6736, 164])).
% 3.23/3.42 tff(6738,plain,
% 3.23/3.42 (b(s(s(z)), s(s(s(z))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[534, 6737])).
% 3.23/3.42 tff(6739,plain,
% 3.23/3.42 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[593, 6738, 544, 458, 72])).
% 3.23/3.42 tff(6740,plain,
% 3.23/3.42 (b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[598, 6739, 61])).
% 3.23/3.42 tff(6741,plain,
% 3.23/3.42 (~b(z, s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[982, 6740, 175, 540, 6736])).
% 3.23/3.42 tff(6742,plain,
% 3.23/3.42 (r(z, s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[563, 6741])).
% 3.23/3.42 tff(6743,plain,
% 3.23/3.42 (~r(s(z), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[619, 6742, 405])).
% 3.23/3.42 tff(6744,plain,
% 3.23/3.42 (b(s(z), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[455, 6743])).
% 3.23/3.42 tff(6745,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6746,plain,
% 3.23/3.42 (((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(6747,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z))))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6746])).
% 3.23/3.42 tff(6748,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 3.23/3.42 inference(transitivity,[status(thm)],[6747, 6745])).
% 3.23/3.42 tff(6749,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(6750,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z))))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[6749, 6748])).
% 3.23/3.42 tff(6751,plain,
% 3.23/3.42 (~b(s(s(s(z))), s(s(elem!1)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6750, 338, 6738, 544, 458, 764, 6744])).
% 3.23/3.42 tff(6752,assumption,(~r(s(s(s(z))), s(s(elem!1)))), introduced(assumption)).
% 3.23/3.42 tff(6753,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1221, 21, 871, 3468, 6752])).
% 3.23/3.42 tff(6754,plain,(b(s(s(s(z))), s(s(elem!1))) | (s(s(s(z))) = s(s(elem!1))) | r(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(6755,plain,
% 3.23/3.42 (s(s(s(z))) = s(s(elem!1))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6754, 6751, 6722])).
% 3.23/3.42 tff(6756,plain,
% 3.23/3.42 (s(z) = elem!1),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1237, 6755])).
% 3.23/3.42 tff(6757,plain,
% 3.23/3.42 (b(s(elem!1), s(s(elem!1)))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[476, 1349])).
% 3.23/3.42 tff(6758,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2771, 6757])).
% 3.23/3.42 tff(6759,plain,((~b(s(s(z)), s(s(s(z))))) | b(s(elem!1), s(s(elem!1))) | (~(s(z) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(6760,plain,
% 3.23/3.42 (b(s(elem!1), s(s(elem!1)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6759, 6756, 6738])).
% 3.23/3.42 tff(6761,plain,
% 3.23/3.42 (s(s(z)) = s(elem!1)),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6756])).
% 3.23/3.42 tff(6762,plain,
% 3.23/3.42 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6761])).
% 3.23/3.42 tff(6763,plain,
% 3.23/3.42 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[6756])).
% 3.23/3.42 tff(6764,plain,
% 3.23/3.42 (b(elem!1, s(s(z)))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[6744, 6763])).
% 3.23/3.43 tff(6765,plain,
% 3.23/3.43 (b(elem!1, s(elem!1))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6764, 6762])).
% 3.23/3.43 tff(6766,plain,
% 3.23/3.43 (r(elem!1, z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[867, 6756, 405])).
% 3.23/3.43 tff(6767,plain,
% 3.23/3.43 (~r(elem!1, s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1081, 6766, 165])).
% 3.23/3.43 tff(6768,plain,
% 3.23/3.43 (b(elem!1, s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[321, 6767, 137])).
% 3.23/3.43 tff(6769,plain,
% 3.23/3.43 (s(s(s(z))) = s(s(elem!1))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6761])).
% 3.23/3.43 tff(6770,plain,
% 3.23/3.43 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6769])).
% 3.23/3.43 tff(6771,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6770])).
% 3.23/3.43 tff(6772,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6756])).
% 3.23/3.43 tff(6773,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), elem!1)),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[2911, 6772])).
% 3.23/3.43 tff(6774,plain,
% 3.23/3.43 (b(s(s(s(elem!1))), elem!1)),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6773, 6771])).
% 3.23/3.43 tff(6775,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6770])).
% 3.23/3.43 tff(6776,plain,
% 3.23/3.43 (b(s(s(s(elem!1))), z)),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[175, 6775])).
% 3.23/3.43 tff(6777,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6778,plain,
% 3.23/3.43 (((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6779,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6778])).
% 3.23/3.43 tff(6780,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.43 inference(transitivity,[status(thm)],[6779, 6777])).
% 3.23/3.43 tff(6781,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))),
% 3.23/3.43 inference(quant_inst,[status(thm)],[])).
% 3.23/3.43 tff(6782,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 3.23/3.43 tff(6783,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6782, 338, 1021, 6776, 6774, 6768, 6765, 6760])).
% 3.23/3.43 tff(6784,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(6785,plain,
% 3.23/3.43 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6784, 6734, 175, 2911, 137, 165, 405, 6724, 1021, 72, 164])).
% 3.23/3.43 tff(6786,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[68, 6785])).
% 3.23/3.43 tff(6787,plain,
% 3.23/3.43 (~r(s(z), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[90, 6786, 72])).
% 3.23/3.43 tff(6788,plain,
% 3.23/3.43 (b(s(z), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[455, 6787])).
% 3.23/3.43 tff(6789,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6750, 338, 476, 457, 458, 764, 474, 3254])).
% 3.23/3.43 tff(6790,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(6791,plain,
% 3.23/3.43 (~b(s(s(z)), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6790, 3254, 458, 764, 474, 457])).
% 3.23/3.43 tff(6792,plain,
% 3.23/3.43 (r(s(s(z)), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[534, 6791])).
% 3.23/3.43 tff(6793,plain,
% 3.23/3.43 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1457, 6792, 71])).
% 3.23/3.43 tff(6794,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1011, 6793])).
% 3.23/3.43 tff(6795,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6796,plain,
% 3.23/3.43 (((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6797,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6796])).
% 3.23/3.43 tff(6798,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.23/3.43 inference(transitivity,[status(thm)],[6797, 6795])).
% 3.23/3.43 tff(6799,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.23/3.43 inference(quant_inst,[status(thm)],[])).
% 3.23/3.43 tff(6800,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6799, 6798])).
% 3.23/3.43 tff(6801,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6800, 338, 457, 458, 764, 6794, 2911, 3254])).
% 3.23/3.43 tff(6802,plain,((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(6803,plain,
% 3.23/3.43 (~b(s(s(s(z))), s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6802, 6734, 6724, 544, 2911, 6786, 6788])).
% 3.23/3.43 tff(6804,plain,
% 3.23/3.43 (s(s(s(z))) = s(s(elem!1))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6754, 6803, 6722])).
% 3.23/3.43 tff(6805,plain,
% 3.23/3.43 (s(z) = elem!1),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1237, 6804])).
% 3.23/3.43 tff(6806,plain,
% 3.23/3.43 (s(s(z)) = s(elem!1)),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6805])).
% 3.23/3.43 tff(6807,plain,
% 3.23/3.43 (b(z, s(s(z))) <=> b(z, s(elem!1))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6806])).
% 3.23/3.43 tff(6808,plain,
% 3.23/3.43 (b(s(z), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6805])).
% 3.23/3.43 tff(6809,plain,
% 3.23/3.43 (b(elem!1, s(elem!1)) <=> b(s(z), s(elem!1))),
% 3.23/3.43 inference(symmetry,[status(thm)],[6808])).
% 3.23/3.43 tff(6810,plain,
% 3.23/3.43 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6806])).
% 3.23/3.43 tff(6811,plain,
% 3.23/3.43 (b(elem!1, s(s(z))) <=> b(s(z), s(elem!1))),
% 3.23/3.43 inference(transitivity,[status(thm)],[6810, 6809])).
% 3.23/3.43 tff(6812,plain,
% 3.23/3.43 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6805])).
% 3.23/3.43 tff(6813,plain,
% 3.23/3.43 (b(elem!1, s(s(z)))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6788, 6812])).
% 3.23/3.43 tff(6814,plain,
% 3.23/3.43 (b(s(z), s(elem!1))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6813, 6811])).
% 3.23/3.43 tff(6815,plain,
% 3.23/3.43 (s(s(s(z))) = s(s(elem!1))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6806])).
% 3.23/3.43 tff(6816,plain,
% 3.23/3.43 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6815])).
% 3.23/3.43 tff(6817,plain,
% 3.23/3.43 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6816])).
% 3.23/3.43 tff(6818,plain,
% 3.23/3.43 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[370, 6817])).
% 3.23/3.43 tff(6819,plain,
% 3.23/3.43 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 3.23/3.43 inference(symmetry,[status(thm)],[6816])).
% 3.23/3.43 tff(6820,plain,
% 3.23/3.43 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6819])).
% 3.23/3.43 tff(6821,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.43 inference(symmetry,[status(thm)],[6820])).
% 3.23/3.43 tff(6822,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6806])).
% 3.23/3.43 tff(6823,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), s(elem!1))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6786, 6822])).
% 3.23/3.43 tff(6824,plain,
% 3.23/3.43 (r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6823, 6821])).
% 3.23/3.43 tff(6825,plain,
% 3.23/3.43 (~r(s(s(elem!1)), s(elem!1))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6302, 6824, 6818])).
% 3.23/3.43 tff(6826,plain,
% 3.23/3.43 (b(s(s(elem!1)), s(elem!1))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[277, 6825, 225])).
% 3.23/3.43 tff(6827,plain,
% 3.23/3.43 (~b(s(elem!1), s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6597, 6826, 744, 6734, 6814])).
% 3.23/3.43 tff(6828,plain,
% 3.23/3.43 (~b(s(s(z)), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6759, 6827, 6805])).
% 3.23/3.43 tff(6829,plain,
% 3.23/3.43 (r(s(s(z)), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[534, 6828])).
% 3.23/3.43 tff(6830,plain,
% 3.23/3.43 (~r(z, s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[558, 6829, 164])).
% 3.23/3.43 tff(6831,plain,
% 3.23/3.43 (b(z, s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[563, 6830])).
% 3.23/3.43 tff(6832,plain,
% 3.23/3.43 (b(z, s(elem!1))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6831, 6807])).
% 3.23/3.43 tff(6833,plain,
% 3.23/3.43 (r(elem!1, z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[867, 6805, 405])).
% 3.23/3.43 tff(6834,plain,
% 3.23/3.43 (~b(s(s(elem!1)), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[881, 6804, 129])).
% 3.23/3.43 tff(6835,plain,
% 3.23/3.43 (r(s(s(elem!1)), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[800, 6834])).
% 3.23/3.43 tff(6836,plain,
% 3.23/3.43 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[891, 6835, 6833])).
% 3.23/3.43 tff(6837,plain,
% 3.23/3.43 (b(s(s(elem!1)), elem!1)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[327, 6836, 197])).
% 3.23/3.43 tff(6838,plain,
% 3.23/3.43 (~r(elem!1, s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1081, 6833, 165])).
% 3.23/3.43 tff(6839,plain,
% 3.23/3.43 (b(elem!1, s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[321, 6838, 137])).
% 3.23/3.43 tff(6840,plain,
% 3.23/3.43 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6816])).
% 3.23/3.43 tff(6841,plain,
% 3.23/3.43 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6805])).
% 3.23/3.43 tff(6842,plain,
% 3.23/3.43 (r(elem!1, s(s(s(s(z)))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[72, 6841])).
% 3.23/3.43 tff(6843,plain,
% 3.23/3.43 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6842, 6840])).
% 3.23/3.43 tff(6844,plain,
% 3.23/3.43 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2040, 6826, 6843, 6839, 294, 6837])).
% 3.23/3.43 tff(6845,plain,
% 3.23/3.43 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1515, 6844, 210])).
% 3.23/3.43 tff(6846,plain,
% 3.23/3.43 (~r(z, s(s(s(s(z)))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6717, 6724, 2911, 405, 164])).
% 3.23/3.43 tff(6847,plain,
% 3.23/3.43 (b(z, s(s(s(s(z)))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[391, 6846])).
% 3.23/3.43 tff(6848,plain,
% 3.23/3.43 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1412, 6805])).
% 3.23/3.43 tff(6849,plain,
% 3.23/3.43 (b(z, s(s(s(elem!1))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2141, 6848, 6847])).
% 3.23/3.43 tff(6850,plain,
% 3.23/3.43 (b(elem!1, s(elem!1))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6813, 6810])).
% 3.23/3.43 tff(6851,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6816])).
% 3.23/3.43 tff(6852,plain,
% 3.23/3.43 (b(s(s(s(elem!1))), z)),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[175, 6851])).
% 3.23/3.43 tff(6853,plain,
% 3.23/3.43 (~(s(elem!1) = s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1786, 225])).
% 3.23/3.43 tff(6854,plain,
% 3.23/3.43 (r(s(elem!1), s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[3081, 6827, 6853])).
% 3.23/3.43 tff(6855,plain,
% 3.23/3.43 (~r(s(elem!1), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1823, 6854, 165])).
% 3.23/3.43 tff(6856,plain,
% 3.23/3.43 (b(s(elem!1), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1812, 6855])).
% 3.23/3.43 tff(6857,plain,
% 3.23/3.43 (~b(z, s(elem!1))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6306, 6856, 6852, 6818, 6850, 6849, 218, 6845, 6837])).
% 3.23/3.43 tff(6858,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6857, 6832])).
% 3.23/3.43 tff(6859,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | b(s(s(s(z))), z) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(6860,plain,
% 3.23/3.43 (~r(s(z), s(s(s(s(z)))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6859, 6721, 162, 150, 175, 137, 27, 129, 2528, 6713])).
% 3.23/3.43 tff(6861,plain,
% 3.23/3.43 (b(s(z), s(s(s(s(z)))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[106, 6860])).
% 3.23/3.43 tff(6862,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6863,plain,
% 3.23/3.43 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6864,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6863])).
% 3.23/3.43 tff(6865,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.23/3.43 inference(transitivity,[status(thm)],[6864, 6862])).
% 3.23/3.43 tff(6866,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 3.23/3.43 inference(quant_inst,[status(thm)],[])).
% 3.23/3.43 tff(6867,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6866, 6865])).
% 3.23/3.43 tff(6868,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6867, 338, 486, 651, 2911, 175, 555])).
% 3.23/3.43 tff(6869,plain,((~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(6870,plain,
% 3.23/3.43 (~b(z, s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6869, 6861, 175, 2528, 6719])).
% 3.23/3.43 tff(6871,plain,
% 3.23/3.43 (~(s(z) = elem!1)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2343, 6870, 6713])).
% 3.23/3.43 tff(6872,plain,
% 3.23/3.43 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1237, 6871])).
% 3.23/3.43 tff(6873,plain,
% 3.23/3.43 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1207, 6872])).
% 3.23/3.43 tff(6874,plain,
% 3.23/3.43 (b(s(s(s(z))), s(s(elem!1)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6754, 6872, 174])).
% 3.23/3.43 tff(6875,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1228, 338, 747, 457, 458, 3254, 3485])).
% 3.23/3.43 tff(6876,plain,((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(6877,plain,
% 3.23/3.43 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6876, 6874, 2328, 438, 425])).
% 3.23/3.43 tff(6878,assumption,(~r(s(s(elem!1)), s(s(s(z))))), introduced(assumption)).
% 3.23/3.43 tff(6879,assumption,(~(s(s(elem!1)) = s(s(s(z))))), introduced(assumption)).
% 3.23/3.43 tff(6880,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1211, 21, 3456, 6879, 6878])).
% 3.23/3.43 tff(6881,plain,(r(s(s(elem!1)), s(s(s(z)))) | b(s(s(elem!1)), s(s(s(z)))) | (s(s(elem!1)) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(6882,plain,
% 3.23/3.43 (r(s(s(elem!1)), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6881, 6877, 6873])).
% 3.23/3.43 tff(6883,plain,
% 3.23/3.43 (b(s(z), elem!1)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[701, 6871, 176])).
% 3.23/3.43 tff(6884,plain,
% 3.23/3.43 (~(elem!1 = s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1046, 6713, 138])).
% 3.23/3.43 tff(6885,plain,
% 3.23/3.43 (~(s(s(s(z))) = elem!1)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1056, 6884])).
% 3.23/3.43 tff(6886,plain,
% 3.23/3.43 (~(elem!1 = s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[696, 6871])).
% 3.23/3.43 tff(6887,plain,
% 3.23/3.43 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[5079, 6861, 438, 425, 2528])).
% 3.23/3.43 tff(6888,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1011, 6887])).
% 3.23/3.43 tff(6889,plain,
% 3.23/3.43 (~r(s(s(s(s(z)))), elem!1)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2419, 254, 370])).
% 3.23/3.43 tff(6890,assumption,(r(s(s(elem!1)), s(s(s(z))))), introduced(assumption)).
% 3.23/3.43 tff(6891,plain,
% 3.23/3.43 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6892,plain,
% 3.23/3.43 (((~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(z)))))) <=> ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6893,plain,
% 3.23/3.43 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), s(s(s(z)))))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[6892])).
% 3.23/3.43 tff(6894,plain,
% 3.23/3.43 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.23/3.43 inference(transitivity,[status(thm)],[6893, 6891])).
% 3.23/3.43 tff(6895,plain,
% 3.23/3.43 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.23/3.43 inference(quant_inst,[status(thm)],[])).
% 3.23/3.43 tff(6896,plain,
% 3.23/3.43 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), s(s(s(z)))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[6895, 6894])).
% 3.23/3.43 tff(6897,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6896, 82, 254, 3125, 6890])).
% 3.23/3.43 tff(6898,plain,((~r(s(s(s(z))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(6899,plain,
% 3.23/3.43 (~r(s(s(s(z))), elem!1)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6898, 254, 6890])).
% 3.23/3.43 tff(6900,plain,
% 3.23/3.43 (b(s(s(s(z))), elem!1)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1110, 6899, 1103])).
% 3.23/3.43 tff(6901,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(6902,plain,
% 3.23/3.43 (((~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1))) <=> ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6903,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z)))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6902])).
% 3.23/3.44 tff(6904,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[6903, 6901])).
% 3.23/3.44 tff(6905,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)))),
% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(6906,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z)))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 3.23/3.44 tff(6907,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6906, 338, 706, 457, 458, 2380, 831])).
% 3.23/3.44 tff(6908,plain,((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(6909,plain,
% 3.23/3.44 (~b(elem!1, s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6908, 6900, 544, 458, 706])).
% 3.23/3.44 tff(6910,plain,
% 3.23/3.44 (r(elem!1, s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[819, 6909, 720])).
% 3.23/3.44 tff(6911,plain,
% 3.23/3.44 (~r(elem!1, z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[811, 6910, 405])).
% 3.23/3.44 tff(6912,plain,
% 3.23/3.44 (b(elem!1, z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[846, 6911, 1037])).
% 3.23/3.44 tff(6913,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1139, 6912, 164, 1038, 1021])).
% 3.23/3.44 tff(6914,plain,
% 3.23/3.44 (s(s(s(s(z)))) = elem!1),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1144, 6913, 6889])).
% 3.23/3.44 tff(6915,plain,
% 3.23/3.44 (b(s(s(s(s(z)))), s(z)) <=> b(elem!1, s(z))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6914])).
% 3.23/3.44 tff(6916,plain,
% 3.23/3.44 (b(elem!1, s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 3.23/3.44 inference(symmetry,[status(thm)],[6915])).
% 3.23/3.44 tff(6917,plain,
% 3.23/3.44 ((~b(elem!1, s(z))) <=> (~b(s(s(s(s(z)))), s(z)))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6916])).
% 3.23/3.44 tff(6918,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(z))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[6909, 6917])).
% 3.23/3.44 tff(6919,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2911, 6918])).
% 3.23/3.44 tff(6920,plain,((~r(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, elem!1)) | (~r(s(z), z)) | (elem!1 = s(z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), elem!1)) | (s(s(s(z))) = elem!1) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(6921,plain,
% 3.23/3.44 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6920, 2528, 150, 6888, 6713, 27, 6886, 438, 6883, 6885, 6882, 6721])).
% 3.23/3.44 tff(6922,plain,
% 3.23/3.44 (b(s(s(elem!1)), elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[327, 6921, 197])).
% 3.23/3.44 tff(6923,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6924,plain,
% 3.23/3.44 (((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6925,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6924])).
% 3.23/3.44 tff(6926,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[6925, 6923])).
% 3.23/3.44 tff(6927,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(6928,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[6927, 6926])).
% 3.23/3.44 tff(6929,plain,
% 3.23/3.44 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6928, 338, 6922, 6883, 2328, 438, 2528])).
% 3.23/3.44 tff(6930,plain,
% 3.23/3.44 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[689, 6929])).
% 3.23/3.44 tff(6931,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6932,plain,
% 3.23/3.44 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(z)))))) <=> ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6933,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6932])).
% 3.23/3.44 tff(6934,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[6933, 6931])).
% 3.23/3.44 tff(6935,plain,
% 3.23/3.44 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(6936,plain,
% 3.23/3.44 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 3.23/3.44 tff(6937,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6936, 82, 6930, 6721, 6882])).
% 3.23/3.44 tff(6938,plain,(b(s(z), z) | r(s(z), elem!1) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1))) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(6939,plain,
% 3.23/3.44 (b(s(z), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6938, 176, 175, 137, 129, 62, 140, 138])).
% 3.23/3.44 tff(6940,plain,
% 3.23/3.44 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[360, 177, 165, 137, 150])).
% 3.23/3.44 tff(6941,plain,
% 3.23/3.44 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[368, 6940, 62])).
% 3.23/3.44 tff(6942,plain,
% 3.23/3.44 (~r(z, s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[379, 6941, 165])).
% 3.23/3.44 tff(6943,plain,
% 3.23/3.44 (b(z, s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[391, 6942])).
% 3.23/3.44 tff(6944,plain,
% 3.23/3.44 (~b(s(z), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[3505, 6943, 175, 1740, 404])).
% 3.23/3.44 tff(6945,plain,
% 3.23/3.44 (r(s(z), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[106, 6944])).
% 3.23/3.44 tff(6946,plain,
% 3.23/3.44 (~r(s(s(elem!1)), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6732, 6945, 6941])).
% 3.23/3.44 tff(6947,plain,
% 3.23/3.44 (b(s(s(elem!1)), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[784, 6946])).
% 3.23/3.44 tff(6948,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6949,plain,
% 3.23/3.44 (((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1))))) <=> ((~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6950,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6949])).
% 3.23/3.44 tff(6951,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[6950, 6948])).
% 3.23/3.44 tff(6952,plain,
% 3.23/3.44 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(6953,plain,
% 3.23/3.44 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 3.23/3.44 tff(6954,plain,
% 3.23/3.44 (~r(s(z), s(s(elem!1)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6953, 82, 6945, 6941])).
% 3.23/3.44 tff(6955,plain,
% 3.23/3.44 (b(s(z), s(s(elem!1)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[743, 6954])).
% 3.23/3.44 tff(6956,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6957,plain,
% 3.23/3.44 (((~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(6958,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6957])).
% 3.23/3.44 tff(6959,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[6958, 6956])).
% 3.23/3.44 tff(6960,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)))),
% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(6961,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 3.23/3.44 tff(6962,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6961, 338, 878, 747, 486, 1740, 764])).
% 3.23/3.44 tff(6963,plain,((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(6964,plain,
% 3.23/3.44 (~b(s(s(elem!1)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6963, 6955, 1740, 404, 6947])).
% 3.23/3.44 tff(6965,plain,
% 3.23/3.44 (r(s(s(elem!1)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[800, 6964])).
% 3.23/3.44 tff(6966,plain,
% 3.23/3.44 (~(elem!1 = z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[3104, 1318, 1740])).
% 3.23/3.44 tff(6967,plain,
% 3.23/3.44 (~(z = elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2752, 6966])).
% 3.23/3.44 tff(6968,plain,
% 3.23/3.44 (s(z) = elem!1),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[701, 1318, 176])).
% 3.23/3.44 tff(6969,plain,
% 3.23/3.44 (elem!1 = s(z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[752, 6968])).
% 3.23/3.44 tff(6970,plain,
% 3.23/3.44 (~r(z, elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[899, 6969, 393])).
% 3.23/3.44 tff(6971,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[353, 6970, 6967, 177])).
% 3.23/3.44 tff(6972,plain,(b(s(z), elem!1) | b(z, elem!1) | r(z, s(z)) | (~b(s(z), z)) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(6973,plain,
% 3.23/3.44 (b(s(z), elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6972, 177, 393, 1740, 176])).
% 3.23/3.44 tff(6974,plain,
% 3.23/3.44 (~b(elem!1, s(s(elem!1)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[772, 763, 747, 706, 764])).
% 3.23/3.44 tff(6975,plain,
% 3.23/3.44 (r(elem!1, s(s(elem!1)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[321, 6974, 137])).
% 3.23/3.44 tff(6976,plain,
% 3.23/3.44 (~(z = elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[906, 763, 795])).
% 3.23/3.44 tff(6977,plain,
% 3.23/3.44 (r(z, elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[353, 6976, 177])).
% 3.23/3.44 tff(6978,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[287, 6977, 6975, 165])).
% 3.23/3.44 tff(6979,plain,((~b(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))) | b(z, elem!1) | (elem!1 = s(s(elem!1))) | b(s(s(elem!1)), z) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(6980,plain,
% 3.23/3.44 (~b(s(s(elem!1)), elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6979, 177, 165, 137, 6964, 6955, 6973, 6947])).
% 3.23/3.44 tff(6981,plain,
% 3.23/3.44 (r(s(s(elem!1)), elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[327, 6980, 197])).
% 3.23/3.44 tff(6982,plain,
% 3.23/3.44 (~r(z, elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2552, 6981, 6965])).
% 3.23/3.44 tff(6983,plain,
% 3.23/3.44 (z = elem!1),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[353, 6982, 177])).
% 3.23/3.44 tff(6984,plain,
% 3.23/3.44 ((s(s(s(elem!1))) = z) <=> (s(s(s(elem!1))) = elem!1)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6983])).
% 3.23/3.44 tff(6985,plain,
% 3.23/3.44 ((s(s(s(elem!1))) = z) <=> (elem!1 = s(s(s(elem!1))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[6984, 3376])).
% 3.23/3.44 tff(6986,plain,
% 3.23/3.44 ((~(s(s(s(elem!1))) = z)) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6985])).
% 3.23/3.44 tff(6987,plain,
% 3.23/3.44 (~(elem!1 = s(s(s(elem!1))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[1367, 6986])).
% 3.23/3.44 tff(6988,plain,
% 3.23/3.44 (s(z) = s(elem!1)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6983])).
% 3.23/3.44 tff(6989,plain,
% 3.23/3.44 (s(s(z)) = s(s(elem!1))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6988])).
% 3.23/3.44 tff(6990,plain,
% 3.23/3.44 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6989])).
% 3.23/3.44 tff(6991,plain,
% 3.23/3.44 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.23/3.44 inference(symmetry,[status(thm)],[6990])).
% 3.23/3.44 tff(6992,plain,
% 3.23/3.44 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(elem!1)), s(s(s(z))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6991])).
% 3.23/3.44 tff(6993,plain,
% 3.23/3.44 (r(s(s(elem!1)), s(s(s(z)))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.44 inference(symmetry,[status(thm)],[6992])).
% 3.23/3.44 tff(6994,plain,
% 3.23/3.44 ((~r(s(s(elem!1)), s(s(s(z))))) <=> (~r(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6993])).
% 3.23/3.44 tff(6995,plain,
% 3.23/3.44 (~r(s(s(elem!1)), s(s(s(z))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1202, 82, 6965, 136])).
% 3.23/3.44 tff(6996,plain,
% 3.23/3.44 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 3.23/3.44 tff(6997,plain,
% 3.23/3.44 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6991])).
% 3.23/3.44 tff(6998,plain,
% 3.23/3.44 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.44 inference(symmetry,[status(thm)],[6997])).
% 3.23/3.44 tff(6999,plain,
% 3.23/3.44 ((~r(s(s(s(z))), s(s(elem!1)))) <=> (~r(s(s(s(elem!1))), s(s(elem!1))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6998])).
% 3.23/3.44 tff(7000,plain,
% 3.23/3.44 (~r(s(s(s(z))), s(s(elem!1)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[173, 165, 150])).
% 3.23/3.44 tff(7001,plain,
% 3.23/3.44 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7000, 6999])).
% 3.23/3.44 tff(7002,plain,
% 3.23/3.44 (b(z, s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6983])).
% 3.23/3.44 tff(7003,plain,
% 3.23/3.44 (b(elem!1, s(elem!1)) <=> b(z, s(elem!1))),
% 3.23/3.44 inference(symmetry,[status(thm)],[7002])).
% 3.23/3.44 tff(7004,plain,
% 3.23/3.44 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6988])).
% 3.23/3.44 tff(7005,plain,
% 3.23/3.44 (b(elem!1, s(z)) <=> b(z, s(elem!1))),
% 3.23/3.44 inference(transitivity,[status(thm)],[7004, 7003])).
% 3.23/3.44 tff(7006,plain,
% 3.23/3.44 (b(elem!1, s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2787, 6983, 404])).
% 3.23/3.44 tff(7007,plain,
% 3.23/3.44 (b(z, s(elem!1))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7006, 7005])).
% 3.23/3.44 tff(7008,plain,
% 3.23/3.44 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6983])).
% 3.23/3.44 tff(7009,plain,
% 3.23/3.44 (b(elem!1, s(s(s(elem!1)))) <=> b(z, s(s(s(elem!1))))),
% 3.23/3.44 inference(symmetry,[status(thm)],[7008])).
% 3.23/3.44 tff(7010,plain,
% 3.23/3.44 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6990])).
% 3.23/3.44 tff(7011,plain,
% 3.23/3.44 (b(elem!1, s(s(s(z)))) <=> b(z, s(s(s(elem!1))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[7010, 7009])).
% 3.23/3.44 tff(7012,plain,
% 3.23/3.44 ((~b(elem!1, s(s(s(z))))) <=> (~b(z, s(s(s(elem!1)))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7011])).
% 3.23/3.44 tff(7013,plain,
% 3.23/3.44 (b(z, s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6983])).
% 3.23/3.44 tff(7014,plain,
% 3.23/3.44 ((~b(z, s(s(s(z))))) <=> (~b(elem!1, s(s(s(z)))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7013])).
% 3.23/3.44 tff(7015,plain,
% 3.23/3.44 (~b(elem!1, s(s(s(z))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[138, 7014])).
% 3.23/3.44 tff(7016,plain,
% 3.23/3.44 (~b(z, s(s(s(elem!1))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7015, 7012])).
% 3.23/3.44 tff(7017,plain,
% 3.23/3.44 (b(s(s(s(z))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6990])).
% 3.23/3.44 tff(7018,plain,
% 3.23/3.44 ((~b(s(s(s(z))), elem!1)) <=> (~b(s(s(s(elem!1))), elem!1))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7017])).
% 3.23/3.44 tff(7019,plain,
% 3.23/3.44 (b(s(s(s(z))), z) <=> b(s(s(s(z))), elem!1)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6983])).
% 3.23/3.44 tff(7020,plain,
% 3.23/3.44 ((~b(s(s(s(z))), z)) <=> (~b(s(s(s(z))), elem!1))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7019])).
% 3.23/3.44 tff(7021,plain,
% 3.23/3.44 (~b(s(s(s(z))), elem!1)),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[129, 7020])).
% 3.23/3.44 tff(7022,plain,
% 3.23/3.44 (~b(s(s(s(elem!1))), elem!1)),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7021, 7018])).
% 3.23/3.44 tff(7023,plain,
% 3.23/3.44 ((~b(elem!1, s(s(s(z))))) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7010])).
% 3.23/3.44 tff(7024,plain,
% 3.23/3.44 (~b(elem!1, s(s(s(elem!1))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7015, 7023])).
% 3.23/3.44 tff(7025,plain,
% 3.23/3.44 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6988])).
% 3.23/3.44 tff(7026,plain,
% 3.23/3.44 (b(s(elem!1), elem!1)),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[6973, 7025])).
% 3.23/3.44 tff(7027,plain,
% 3.23/3.44 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6990])).
% 3.23/3.44 tff(7028,plain,
% 3.23/3.44 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[6988])).
% 3.23/3.44 tff(7029,plain,
% 3.23/3.44 (r(s(elem!1), s(s(s(z))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[406, 7028])).
% 3.23/3.44 tff(7030,plain,
% 3.23/3.44 (r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7029, 7027])).
% 3.23/3.44 tff(7031,plain,
% 3.23/3.44 (r(z, s(s(s(elem!1))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1373, 2138])).
% 3.23/3.44 tff(7032,plain,
% 3.23/3.44 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1946, 1940, 1939])).
% 3.23/3.44 tff(7033,plain,
% 3.23/3.44 (~r(elem!1, z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6371, 7032, 7031])).
% 3.23/3.44 tff(7034,plain,
% 3.23/3.44 (~r(elem!1, s(elem!1))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1959, 7032, 1502])).
% 3.23/3.44 tff(7035,plain,
% 3.23/3.44 (b(elem!1, s(elem!1))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[252, 7034, 246])).
% 3.23/3.44 tff(7036,plain,
% 3.23/3.44 (elem!1 = z),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[4722, 7035, 1729, 1597, 314, 7033])).
% 3.23/3.44 tff(7037,plain,
% 3.23/3.44 (s(elem!1) = s(z)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7036])).
% 3.23/3.44 tff(7038,plain,
% 3.23/3.44 (b(s(elem!1), z) <=> b(s(z), z)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7037])).
% 3.23/3.44 tff(7039,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(7040,plain,
% 3.23/3.44 (((~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), z))) <=> ((~r(s(elem!1), z)) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(7041,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1)))))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7040])).
% 3.23/3.44 tff(7042,plain,
% 3.23/3.44 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[7041, 7039])).
% 3.23/3.44 tff(7043,plain,
% 3.23/3.44 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), z)))),
% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(7044,plain,
% 3.23/3.44 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1)))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 3.23/3.44 tff(7045,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[7044, 82, 1815, 1353, 1502])).
% 3.23/3.44 tff(7046,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), z)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(7047,plain,
% 3.23/3.44 (~r(s(elem!1), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[7046, 1502, 7031])).
% 3.23/3.44 tff(7048,plain,
% 3.23/3.44 (b(s(elem!1), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1812, 7047])).
% 3.23/3.44 tff(7049,plain,
% 3.23/3.44 (b(s(z), z)),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7048, 7038])).
% 3.23/3.44 tff(7050,assumption,(~r(s(s(s(elem!1))), s(s(elem!1)))), introduced(assumption)).
% 3.23/3.44 tff(7051,plain,
% 3.23/3.44 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(elem!1))), z)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7036])).
% 3.23/3.44 tff(7052,plain,
% 3.23/3.44 ((~b(s(s(s(elem!1))), elem!1)) <=> (~b(s(s(s(elem!1))), z))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7051])).
% 3.23/3.44 tff(7053,assumption,(~b(s(s(s(elem!1))), elem!1)), introduced(assumption)).
% 3.23/3.44 tff(7054,plain,
% 3.23/3.44 (~b(s(s(s(elem!1))), z)),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[7053, 7052])).
% 3.23/3.44 tff(7055,plain,
% 3.23/3.44 ((s(z) = elem!1) <=> (s(z) = z)),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7036])).
% 3.23/3.44 tff(7056,plain,
% 3.23/3.44 ((s(z) = z) <=> (s(z) = elem!1)),
% 3.23/3.44 inference(symmetry,[status(thm)],[7055])).
% 3.23/3.44 tff(7057,plain,
% 3.23/3.44 ((~(s(z) = z)) <=> (~(s(z) = elem!1))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[7056])).
% 3.23/3.44 tff(7058,plain,
% 3.23/3.44 (~(s(z) = elem!1)),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[11, 7057])).
% 3.23/3.44 tff(7059,plain,
% 3.23/3.44 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1292, 2180, 7050])).
% 3.23/3.44 tff(7060,plain,
% 3.23/3.44 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2611, 2180])).
% 3.23/3.44 tff(7061,plain,
% 3.23/3.44 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2619, 7060, 2613])).
% 3.23/3.44 tff(7062,plain,
% 3.23/3.44 (r(s(s(s(elem!1))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1387, 1382])).
% 3.23/3.44 tff(7063,plain,
% 3.23/3.44 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1946, 1925, 1940])).
% 3.23/3.44 tff(7064,plain,
% 3.23/3.44 (~r(elem!1, z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2167, 7063, 1301])).
% 3.23/3.44 tff(7065,plain,
% 3.23/3.44 (r(s(s(s(elem!1))), elem!1)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2162, 1271, 7053])).
% 3.23/3.44 tff(7066,plain,
% 3.23/3.44 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1959, 235, 1950])).
% 3.23/3.44 tff(7067,plain,
% 3.23/3.44 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1515, 7066, 215])).
% 3.23/3.44 tff(7068,plain,
% 3.23/3.44 ((~(s(elem!1) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = s(elem!1)))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[211])).
% 3.23/3.44 tff(7069,plain,
% 3.23/3.44 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[215, 7068])).
% 3.23/3.44 tff(7070,plain,
% 3.23/3.44 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1966, 235, 1950])).
% 3.23/3.45 tff(7071,plain,
% 3.23/3.45 (b(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1971, 7070, 7069])).
% 3.23/3.45 tff(7072,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7073,plain,
% 3.23/3.45 (((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1)))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7074,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7073])).
% 3.23/3.45 tff(7075,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.45 inference(transitivity,[status(thm)],[7074, 7072])).
% 3.23/3.45 tff(7076,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(7077,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 3.23/3.45 tff(7078,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7077, 338, 7071, 6387, 7067, 316, 6386])).
% 3.23/3.45 tff(7079,plain,((~r(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7080,plain,
% 3.23/3.45 (~b(s(s(elem!1)), s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7079, 235, 6386, 1950, 210, 6387])).
% 3.23/3.45 tff(7081,plain,
% 3.23/3.45 (r(s(s(elem!1)), s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[277, 7080, 225])).
% 3.23/3.45 tff(7082,plain,
% 3.23/3.45 (~r(z, s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[272, 7081, 165])).
% 3.23/3.45 tff(7083,plain,
% 3.23/3.45 (r(elem!1, s(elem!1)) <=> r(z, s(elem!1))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[712])).
% 3.23/3.45 tff(7084,plain,
% 3.23/3.45 (r(z, s(elem!1)) <=> r(elem!1, s(elem!1))),
% 3.23/3.45 inference(symmetry,[status(thm)],[7083])).
% 3.23/3.45 tff(7085,plain,
% 3.23/3.45 ((~r(z, s(elem!1))) <=> (~r(elem!1, s(elem!1)))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7084])).
% 3.23/3.45 tff(7086,plain,
% 3.23/3.45 (~r(elem!1, s(elem!1))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[187, 7085])).
% 3.23/3.45 tff(7087,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[235, 7086])).
% 3.23/3.45 tff(7088,plain,((~(elem!1 = z)) | (~r(elem!1, s(elem!1))) | r(z, s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7089,plain,
% 3.23/3.45 (~(elem!1 = z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7088, 7082, 235])).
% 3.23/3.45 tff(7090,plain,
% 3.23/3.45 (~(z = elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[2752, 7089])).
% 3.23/3.45 tff(7091,plain,
% 3.23/3.45 (b(z, elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[353, 7090, 1729])).
% 3.23/3.45 tff(7092,plain,
% 3.23/3.45 (b(elem!1, z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[846, 7089, 864])).
% 3.23/3.45 tff(7093,plain,
% 3.23/3.45 (~(s(elem!1) = s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1912, 7090])).
% 3.23/3.45 tff(7094,plain,
% 3.23/3.45 (~(s(z) = s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1919, 7093])).
% 3.23/3.45 tff(7095,plain,
% 3.23/3.45 (b(s(z), elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[2009, 7094, 210, 1950, 235, 1269, 691])).
% 3.23/3.45 tff(7096,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7097,plain,
% 3.23/3.45 (((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7098,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7097])).
% 3.23/3.45 tff(7099,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.23/3.45 inference(transitivity,[status(thm)],[7098, 7096])).
% 3.23/3.45 tff(7100,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(7101,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[7100, 7099])).
% 3.23/3.45 tff(7102,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7101, 338, 1021, 1131, 706, 486, 1740])).
% 3.23/3.45 tff(7103,plain,((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7104,plain,
% 3.23/3.45 (~b(z, s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7103, 7095, 1740, 7092, 7091])).
% 3.23/3.45 tff(7105,plain,
% 3.23/3.45 (r(z, s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[403, 7104])).
% 3.23/3.45 tff(7106,plain,
% 3.23/3.45 (~r(s(z), s(s(elem!1)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[4588, 7105, 165])).
% 3.23/3.45 tff(7107,plain,
% 3.23/3.45 (b(s(z), s(s(elem!1)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[743, 7106])).
% 3.23/3.45 tff(7108,plain,
% 3.23/3.45 (~r(elem!1, s(s(elem!1)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[2715, 7081, 235])).
% 3.23/3.45 tff(7109,plain,
% 3.23/3.45 (b(elem!1, s(s(elem!1)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[321, 7108, 137])).
% 3.23/3.45 tff(7110,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7111,plain,
% 3.23/3.45 (((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), elem!1))) <=> ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7112,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1)))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7111])).
% 3.23/3.45 tff(7113,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.23/3.45 inference(transitivity,[status(thm)],[7112, 7110])).
% 3.23/3.45 tff(7114,plain,
% 3.23/3.45 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), elem!1)))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(7115,plain,
% 3.23/3.45 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1)))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[7114, 7113])).
% 3.23/3.45 tff(7116,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7115, 82, 235, 254, 264])).
% 3.23/3.45 tff(7117,plain,((~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7118,plain,
% 3.23/3.45 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7117, 7081, 235])).
% 3.23/3.45 tff(7119,plain,
% 3.23/3.45 (b(s(s(elem!1)), elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[327, 7118, 197])).
% 3.23/3.45 tff(7120,plain,
% 3.23/3.45 (~b(z, s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7103, 706, 1131, 1021, 1740])).
% 3.23/3.45 tff(7121,plain,
% 3.23/3.45 ((z = s(z)) | r(z, s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[401, 21, 7120])).
% 3.23/3.45 tff(7122,plain,
% 3.23/3.45 (r(z, s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7121, 5846])).
% 3.23/3.45 tff(7123,plain,
% 3.23/3.45 (~r(s(z), s(s(elem!1)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[4588, 7122, 165])).
% 3.23/3.45 tff(7124,plain,
% 3.23/3.45 (b(s(z), s(s(elem!1)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[743, 7123])).
% 3.23/3.45 tff(7125,plain,
% 3.23/3.45 (~b(s(s(elem!1)), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[772, 7124, 762, 706, 763])).
% 3.23/3.45 tff(7126,plain,
% 3.23/3.45 ((s(s(elem!1)) = s(z)) | r(s(s(elem!1)), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[782, 21, 7125])).
% 3.23/3.45 tff(7127,plain,
% 3.23/3.45 (r(s(s(elem!1)), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7126, 2538])).
% 3.23/3.45 tff(7128,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7129,plain,
% 3.23/3.45 (((~r(z, s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), z))) <=> ((~r(s(s(elem!1)), z)) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7130,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z)))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7129])).
% 3.23/3.45 tff(7131,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.23/3.45 inference(transitivity,[status(thm)],[7130, 7128])).
% 3.23/3.45 tff(7132,plain,
% 3.23/3.45 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), z)))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(7133,plain,
% 3.23/3.45 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z)))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 3.23/3.45 tff(7134,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7133, 82, 787, 7122, 7127])).
% 3.23/3.45 tff(7135,plain,((~b(s(z), elem!1)) | (~r(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7136,plain,
% 3.23/3.45 (~r(s(s(elem!1)), z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7135, 7095, 1740, 165, 7119, 7109, 7091, 7092])).
% 3.23/3.45 tff(7137,plain,
% 3.23/3.45 (b(s(s(elem!1)), z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[800, 7136])).
% 3.23/3.45 tff(7138,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7139,plain,
% 3.23/3.45 (((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7140,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7139])).
% 3.23/3.45 tff(7141,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.45 inference(transitivity,[status(thm)],[7140, 7138])).
% 3.23/3.45 tff(7142,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(7143,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[7142, 7141])).
% 3.23/3.45 tff(7144,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7143, 338, 7091, 7119, 7109, 7137, 7095, 7107])).
% 3.23/3.45 tff(7145,plain,((~r(elem!1, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(s(z), z)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)) | (s(z) = elem!1) | r(z, elem!1) | r(elem!1, z) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7146,plain,
% 3.23/3.45 (~r(elem!1, s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7145, 7063, 1740, 165, 7065, 691, 1729, 7064, 137, 7061, 6387])).
% 3.23/3.45 tff(7147,plain,
% 3.23/3.45 (b(elem!1, s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[252, 7146, 232])).
% 3.23/3.45 tff(7148,plain,
% 3.23/3.45 (~(s(s(elem!1)) = s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[224, 5949])).
% 3.23/3.45 tff(7149,plain,
% 3.23/3.45 (b(elem!1, z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[846, 6966, 864])).
% 3.23/3.45 tff(7150,plain,
% 3.23/3.45 (~(s(elem!1) = elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[293, 207])).
% 3.23/3.45 tff(7151,plain,
% 3.23/3.45 (b(z, elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[353, 6967, 1729])).
% 3.23/3.45 tff(7152,plain,
% 3.23/3.45 ((s(s(elem!1)) = s(elem!1)) <=> (s(elem!1) = s(s(elem!1)))),
% 3.23/3.45 inference(symmetry,[status(thm)],[2702])).
% 3.23/3.45 tff(7153,plain,
% 3.23/3.45 ((~(s(s(elem!1)) = s(elem!1))) <=> (~(s(elem!1) = s(s(elem!1))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7152])).
% 3.23/3.45 tff(7154,plain,
% 3.23/3.45 (~(s(s(elem!1)) = s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[224, 1962])).
% 3.23/3.45 tff(7155,plain,
% 3.23/3.45 (~(s(elem!1) = s(s(elem!1)))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 3.23/3.45 tff(7156,plain,
% 3.23/3.45 (~(elem!1 = s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[231, 7154])).
% 3.23/3.45 tff(7157,plain,
% 3.23/3.45 (~r(elem!1, s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7079, 316, 1950, 6386, 215, 6387])).
% 3.23/3.45 tff(7158,plain,
% 3.23/3.45 (b(elem!1, s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[252, 7157, 7156])).
% 3.23/3.45 tff(7159,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7160,plain,
% 3.23/3.45 (((~r(s(elem!1), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(elem!1)))) <=> ((~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7161,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1)))))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7160])).
% 3.23/3.45 tff(7162,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.45 inference(transitivity,[status(thm)],[7161, 7159])).
% 3.23/3.45 tff(7163,plain,
% 3.23/3.45 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(elem!1))))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(7164,plain,
% 3.23/3.45 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1)))))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 3.23/3.45 tff(7165,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7164, 82, 233, 1353, 1502])).
% 3.23/3.45 tff(7166,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7167,plain,
% 3.23/3.45 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7166, 233, 1353])).
% 3.23/3.45 tff(7168,plain,
% 3.23/3.45 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1515, 7167, 215])).
% 3.23/3.45 tff(7169,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7077, 338, 1500, 6387, 1564, 316, 6386])).
% 3.23/3.45 tff(7170,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7171,plain,
% 3.23/3.45 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7170, 7168, 6387, 6386, 316])).
% 3.23/3.45 tff(7172,plain,
% 3.23/3.45 (r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1971, 7171, 1962])).
% 3.23/3.45 tff(7173,plain,
% 3.23/3.45 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7174,plain,
% 3.23/3.45 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(7175,plain,
% 3.23/3.45 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1)))))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 3.23/3.45 tff(7176,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7175, 82, 7172, 233, 1353])).
% 3.23/3.45 tff(7177,plain,((~r(z, s(elem!1))) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(7178,plain,
% 3.23/3.45 (~r(z, s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7177, 316, 6387, 6386, 1353, 215])).
% 3.23/3.45 tff(7179,plain,
% 3.23/3.45 (b(z, s(elem!1))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1615, 7178])).
% 3.23/3.45 tff(7180,plain,
% 3.23/3.45 (~b(s(elem!1), elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[4720, 7179, 1021, 1131, 7158])).
% 3.23/3.45 tff(7181,plain,
% 3.23/3.45 (r(s(elem!1), elem!1)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[312, 7180, 306])).
% 3.23/3.45 tff(7182,plain,
% 3.23/3.45 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[2028, 7181, 1950])).
% 3.23/3.45 tff(7183,plain,
% 3.23/3.45 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1515, 7182, 215])).
% 3.23/3.45 tff(7184,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7185,plain,
% 3.23/3.45 (((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1))) <=> ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(7186,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[7185])).
% 3.23/3.45 tff(7187,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.45 inference(transitivity,[status(thm)],[7186, 7184])).
% 3.23/3.45 tff(7188,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(7189,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7188, 7187])).
% 3.23/3.46 tff(7190,plain,
% 3.23/3.46 (~b(s(elem!1), s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7189, 338, 1021, 7179, 7183, 7158, 6386])).
% 3.23/3.46 tff(7191,plain,
% 3.23/3.46 ((s(elem!1) = s(s(elem!1))) | r(s(elem!1), s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1827, 21, 7190])).
% 3.23/3.46 tff(7192,plain,
% 3.23/3.46 (r(s(elem!1), s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7191, 7155])).
% 3.23/3.46 tff(7193,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7194,plain,
% 3.23/3.46 (((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1)))) <=> ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7195,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1)))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7194])).
% 3.23/3.46 tff(7196,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 3.23/3.46 inference(transitivity,[status(thm)],[7195, 7193])).
% 3.23/3.46 tff(7197,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(7198,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1)))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7197, 7196])).
% 3.23/3.46 tff(7199,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7198, 338, 1021, 1131, 1597, 315, 1796])).
% 3.23/3.46 tff(7200,plain,((~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7201,plain,
% 3.23/3.46 (~b(s(elem!1), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7200, 7179, 1131, 1021, 7158])).
% 3.23/3.46 tff(7202,plain,
% 3.23/3.46 (r(s(elem!1), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1812, 7201])).
% 3.23/3.46 tff(7203,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1821, 82, 7202, 165, 7192])).
% 3.23/3.46 tff(7204,plain,((~b(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (s(elem!1) = elem!1) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7205,plain,
% 3.23/3.46 (~b(s(s(elem!1)), s(elem!1))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7204, 7151, 1353, 165, 5948, 1950, 7150, 7149, 6387, 6386])).
% 3.23/3.46 tff(7206,plain,
% 3.23/3.46 (r(s(s(elem!1)), s(elem!1))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[277, 7205, 7148])).
% 3.23/3.46 tff(7207,plain,
% 3.23/3.46 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1280, 7148])).
% 3.23/3.46 tff(7208,plain,
% 3.23/3.46 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[2611, 7207])).
% 3.23/3.46 tff(7209,plain,
% 3.23/3.46 (~(s(elem!1) = s(s(elem!1)))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7148, 7153])).
% 3.23/3.46 tff(7210,plain,
% 3.23/3.46 (b(s(s(elem!1)), s(elem!1))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[277, 273, 7148])).
% 3.23/3.46 tff(7211,plain,
% 3.23/3.46 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7177, 7210, 6387, 233, 1353, 5948])).
% 3.23/3.46 tff(7212,plain,
% 3.23/3.46 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[2619, 7211, 2614])).
% 3.23/3.46 tff(7213,plain,
% 3.23/3.46 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7214,plain,
% 3.23/3.46 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(7215,plain,
% 3.23/3.46 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 3.23/3.46 tff(7216,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7215, 82, 1353, 2257, 787])).
% 3.23/3.46 tff(7217,plain,((~r(s(s(elem!1)), z)) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7218,plain,
% 3.23/3.46 (~r(s(s(elem!1)), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7217, 7212, 1353])).
% 3.23/3.46 tff(7219,plain,
% 3.23/3.46 (b(s(s(elem!1)), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[800, 7218])).
% 3.23/3.46 tff(7220,plain,
% 3.23/3.46 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1515, 7167, 5948])).
% 3.23/3.46 tff(7221,plain,
% 3.23/3.46 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[6487, 7212, 1950])).
% 3.23/3.46 tff(7222,plain,
% 3.23/3.46 (b(s(s(elem!1)), elem!1)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[327, 7221, 207])).
% 3.23/3.46 tff(7223,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7224,plain,
% 3.23/3.46 (((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1)))))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7225,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7224])).
% 3.23/3.46 tff(7226,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.46 inference(transitivity,[status(thm)],[7225, 7223])).
% 3.23/3.46 tff(7227,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(7228,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1))))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 3.23/3.46 tff(7229,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7228, 338, 1021, 763, 6387, 1564, 878, 1620])).
% 3.23/3.46 tff(7230,plain,((~b(s(elem!1), s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7231,plain,
% 3.23/3.46 (~b(s(elem!1), s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7230, 7222, 1021, 6387, 7220, 7219])).
% 3.23/3.46 tff(7232,plain,
% 3.23/3.46 ((s(elem!1) = s(s(elem!1))) | r(s(elem!1), s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1827, 21, 7231])).
% 3.23/3.46 tff(7233,plain,
% 3.23/3.46 (r(s(elem!1), s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7232, 7209])).
% 3.23/3.46 tff(7234,plain,
% 3.23/3.46 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7235,plain,
% 3.23/3.46 (((~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(elem!1)))) <=> ((~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7236,plain,
% 3.23/3.46 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7235])).
% 3.23/3.46 tff(7237,plain,
% 3.23/3.46 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.23/3.46 inference(transitivity,[status(thm)],[7236, 7234])).
% 3.23/3.46 tff(7238,plain,
% 3.23/3.46 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(elem!1))))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(7239,plain,
% 3.23/3.46 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7238, 7237])).
% 3.23/3.46 tff(7240,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7239, 82, 233, 165, 7233])).
% 3.23/3.46 tff(7241,plain,((~r(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(elem!1)) = elem!1) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (s(s(elem!1)) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7242,plain,
% 3.23/3.46 (~r(z, s(elem!1))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7241, 7151, 1353, 165, 207, 6387, 1950, 7208])).
% 3.23/3.46 tff(7243,plain,
% 3.23/3.46 (b(z, s(elem!1))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1615, 7242])).
% 3.23/3.46 tff(7244,plain,
% 3.23/3.46 (~b(s(elem!1), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7200, 7243, 315, 7151, 7149])).
% 3.23/3.46 tff(7245,plain,
% 3.23/3.46 (r(s(elem!1), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1812, 7244])).
% 3.23/3.46 tff(7246,plain,
% 3.23/3.46 (~r(s(s(elem!1)), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[5958, 7245, 7206])).
% 3.23/3.46 tff(7247,plain,
% 3.23/3.46 (b(s(s(elem!1)), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[800, 7246])).
% 3.23/3.46 tff(7248,plain,
% 3.23/3.46 (~r(s(z), s(s(s(elem!1))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1862, 1948, 1269])).
% 3.23/3.46 tff(7249,plain,
% 3.23/3.46 (b(s(z), s(s(s(elem!1))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1870, 7248])).
% 3.23/3.46 tff(7250,plain,
% 3.23/3.46 (~r(s(s(s(elem!1))), s(z))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1849, 82, 1269, 1948])).
% 3.23/3.46 tff(7251,plain,
% 3.23/3.46 (b(s(s(s(elem!1))), s(z))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1990, 7250])).
% 3.23/3.46 tff(7252,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7253,plain,
% 3.23/3.46 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7254,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7253])).
% 3.23/3.46 tff(7255,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.46 inference(transitivity,[status(thm)],[7254, 7252])).
% 3.23/3.46 tff(7256,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(7257,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 3.23/3.46 tff(7258,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7257, 338, 6387, 6386, 747, 1880, 5431])).
% 3.23/3.46 tff(7259,plain,((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7260,plain,
% 3.23/3.46 (~b(s(z), s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7259, 7251, 6387, 6386, 7249])).
% 3.23/3.46 tff(7261,plain,
% 3.23/3.46 (r(s(z), s(s(elem!1)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[743, 7260])).
% 3.23/3.46 tff(7262,plain,
% 3.23/3.46 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7263,plain,
% 3.23/3.46 (((~r(s(s(elem!1)), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(elem!1))))) <=> ((~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7264,plain,
% 3.23/3.46 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), s(s(elem!1))))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7263])).
% 3.23/3.46 tff(7265,plain,
% 3.23/3.46 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.46 inference(transitivity,[status(thm)],[7264, 7262])).
% 3.23/3.46 tff(7266,plain,
% 3.23/3.46 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(7267,plain,
% 3.23/3.46 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), s(s(elem!1))))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 3.23/3.46 tff(7268,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7267, 82, 254, 754, 721])).
% 3.23/3.46 tff(7269,plain,((~r(s(z), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7270,plain,
% 3.23/3.46 (~r(s(s(elem!1)), elem!1)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7269, 7261, 1948])).
% 3.23/3.46 tff(7271,plain,
% 3.23/3.46 (b(s(s(elem!1)), elem!1)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[327, 7270, 207])).
% 3.23/3.46 tff(7272,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7273,plain,
% 3.23/3.46 (((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7274,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1)))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7273])).
% 3.23/3.46 tff(7275,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))))),
% 3.23/3.46 inference(transitivity,[status(thm)],[7274, 7272])).
% 3.23/3.46 tff(7276,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(7277,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1)))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7276, 7275])).
% 3.23/3.46 tff(7278,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7277, 338, 7151, 7149, 7271, 7243, 315, 7247])).
% 3.23/3.46 tff(7279,plain,(b(s(z), elem!1) | (~b(elem!1, s(elem!1))) | (s(s(elem!1)) = elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | r(z, elem!1) | r(elem!1, z) | (~b(s(z), z)) | (s(z) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7280,plain,
% 3.23/3.46 (b(s(z), elem!1)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7279, 7147, 197, 6387, 7061, 7065, 1353, 165, 7063, 1729, 7064, 1740, 691])).
% 3.23/3.46 tff(7281,plain,
% 3.23/3.46 (~r(z, s(elem!1))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7241, 4309, 1353, 165, 207, 6387, 1950, 7208])).
% 3.23/3.46 tff(7282,plain,
% 3.23/3.46 (b(z, s(elem!1))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1615, 7281])).
% 3.23/3.46 tff(7283,plain,
% 3.23/3.46 (b(elem!1, z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[846, 1619, 864])).
% 3.23/3.46 tff(7284,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7285,plain,
% 3.23/3.46 (((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z))) <=> ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(7286,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7285])).
% 3.23/3.46 tff(7287,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.23/3.46 inference(transitivity,[status(thm)],[7286, 7284])).
% 3.23/3.46 tff(7288,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(7289,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 3.23/3.46 tff(7290,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7289, 338, 4309, 7283, 7282, 315, 706, 1740])).
% 3.23/3.46 tff(7291,plain,((z = elem!1) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | r(elem!1, z) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(7292,plain,
% 3.23/3.46 (z = elem!1),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[7291, 7147, 7280, 1740, 1353, 165, 197, 6387, 7063, 7064, 1729])).
% 3.23/3.46 tff(7293,plain,
% 3.23/3.46 ((s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.23/3.46 inference(symmetry,[status(thm)],[6162])).
% 3.23/3.46 tff(7294,plain,
% 3.23/3.46 (s(z) = s(elem!1)),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7292])).
% 3.23/3.46 tff(7295,plain,
% 3.23/3.46 (s(s(z)) = s(s(elem!1))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7294])).
% 3.23/3.46 tff(7296,plain,
% 3.23/3.46 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7295])).
% 3.23/3.46 tff(7297,plain,
% 3.23/3.46 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.23/3.46 inference(symmetry,[status(thm)],[7296])).
% 3.23/3.46 tff(7298,plain,
% 3.23/3.46 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[7297])).
% 3.23/3.46 tff(7299,plain,
% 3.23/3.46 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(z))) = s(s(s(s(s(s(elem!1)))))))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7298, 6162])).
% 3.23/3.47 tff(7300,plain,
% 3.23/3.47 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7299, 7293])).
% 3.23/3.47 tff(7301,plain,
% 3.23/3.47 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7300])).
% 3.23/3.47 tff(7302,plain,
% 3.23/3.47 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[5700, 7301])).
% 3.23/3.47 tff(7303,plain,
% 3.23/3.47 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7297])).
% 3.23/3.47 tff(7304,plain,
% 3.23/3.47 ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7303])).
% 3.23/3.47 tff(7305,plain,
% 3.23/3.47 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7292])).
% 3.23/3.47 tff(7306,plain,
% 3.23/3.47 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7305, 5922])).
% 3.23/3.47 tff(7307,plain,
% 3.23/3.47 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.23/3.47 inference(transitivity,[status(thm)],[7306, 5923])).
% 3.23/3.47 tff(7308,plain,
% 3.23/3.47 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7307])).
% 3.23/3.47 tff(7309,plain,
% 3.23/3.47 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[5929, 7308])).
% 3.23/3.47 tff(7310,plain,
% 3.23/3.47 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7306])).
% 3.23/3.47 tff(7311,plain,
% 3.23/3.47 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[5929, 7310])).
% 3.23/3.47 tff(7312,plain,
% 3.23/3.47 (elem!1 = z),
% 3.23/3.47 inference(symmetry,[status(thm)],[703])).
% 3.23/3.47 tff(7313,plain,
% 3.23/3.47 (s(s(s(s(s(s(elem!1)))))) = s(elem!1)),
% 3.23/3.47 inference(transitivity,[status(thm)],[6083, 2806])).
% 3.23/3.47 tff(7314,plain,
% 3.23/3.47 (inj_0(s(s(s(s(s(s(elem!1))))))) = inj_0(s(elem!1))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7313])).
% 3.23/3.47 tff(7315,plain,
% 3.23/3.47 (s(s(s(s(s(elem!1))))) = z),
% 3.23/3.47 inference(transitivity,[status(thm)],[6036, 7314, 199, 7312])).
% 3.23/3.47 tff(7316,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[6089, 7315])).
% 3.23/3.47 tff(7317,plain,((~(s(s(s(s(s(s(elem!1)))))) = s(z))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7318,plain,
% 3.23/3.47 (~(s(s(s(s(s(s(elem!1)))))) = s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7317, 7292])).
% 3.23/3.47 tff(7319,plain,
% 3.23/3.47 (r(s(s(s(s(s(s(elem!1)))))), s(z)) <=> r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7294])).
% 3.23/3.47 tff(7320,plain,
% 3.23/3.47 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1)) <=> r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7319])).
% 3.23/3.47 tff(7321,plain,
% 3.23/3.47 ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7320])).
% 3.23/3.47 tff(7322,plain,
% 3.23/3.47 (b(s(z), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7294])).
% 3.23/3.47 tff(7323,plain,
% 3.23/3.47 (b(z, s(z)) <=> b(elem!1, s(z))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7292])).
% 3.23/3.47 tff(7324,plain,
% 3.23/3.47 (b(elem!1, s(z)) <=> b(z, s(z))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7323])).
% 3.23/3.47 tff(7325,plain,
% 3.23/3.47 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7294])).
% 3.23/3.47 tff(7326,plain,
% 3.23/3.47 (b(elem!1, s(elem!1)) <=> b(elem!1, s(z))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7325])).
% 3.23/3.47 tff(7327,plain,
% 3.23/3.47 (b(elem!1, s(elem!1)) <=> b(z, s(z))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7326, 7324])).
% 3.23/3.47 tff(7328,plain,
% 3.23/3.47 (b(z, s(z))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7147, 7327])).
% 3.23/3.47 tff(7329,plain,
% 3.23/3.47 (b(s(s(z)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7295])).
% 3.23/3.47 tff(7330,plain,
% 3.23/3.47 (elem!1 = z),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[2752, 7292])).
% 3.23/3.47 tff(7331,plain,
% 3.23/3.47 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(z)), s(s(s(z))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[2996, 2997])).
% 3.23/3.47 tff(7332,plain,
% 3.23/3.47 (r(s(s(z)), s(s(s(z)))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7331])).
% 3.23/3.47 tff(7333,plain,
% 3.23/3.47 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[487, 7332])).
% 3.23/3.47 tff(7334,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[2613, 7333])).
% 3.23/3.47 tff(7335,plain,((~r(s(s(z)), s(s(s(z))))) | r(s(s(elem!1)), s(s(s(elem!1)))) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7336,plain,
% 3.23/3.47 (~r(s(s(z)), s(s(s(z))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7335, 7330, 2613])).
% 3.23/3.47 tff(7337,plain,
% 3.23/3.47 (b(s(s(z)), s(s(s(z))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[534, 7336])).
% 3.23/3.47 tff(7338,plain,
% 3.23/3.47 (b(s(s(elem!1)), s(s(s(z))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7337, 7329])).
% 3.23/3.47 tff(7339,plain,
% 3.23/3.47 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7294])).
% 3.23/3.47 tff(7340,plain,
% 3.23/3.47 (b(s(elem!1), elem!1)),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7280, 7339])).
% 3.23/3.47 tff(7341,plain,
% 3.23/3.47 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[2822])).
% 3.23/3.47 tff(7342,plain,
% 3.23/3.47 (r(z, s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[703])).
% 3.23/3.47 tff(7343,plain,
% 3.23/3.47 (r(z, s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7342, 7341])).
% 3.23/3.47 tff(7344,plain,
% 3.23/3.47 ((~r(z, s(s(s(s(z)))))) <=> (~r(elem!1, s(s(s(s(elem!1))))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7343])).
% 3.23/3.47 tff(7345,plain,
% 3.23/3.47 (r(z, s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[703])).
% 3.23/3.47 tff(7346,plain,
% 3.23/3.47 (r(elem!1, s(s(s(z)))) <=> r(z, s(s(s(z))))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7345])).
% 3.23/3.47 tff(7347,plain,
% 3.23/3.47 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[2808])).
% 3.23/3.47 tff(7348,plain,
% 3.23/3.47 (r(elem!1, s(s(s(elem!1)))) <=> r(elem!1, s(s(s(z))))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7347])).
% 3.23/3.47 tff(7349,plain,
% 3.23/3.47 (r(elem!1, s(s(s(elem!1)))) <=> r(z, s(s(s(z))))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7348, 7346])).
% 3.23/3.47 tff(7350,plain,
% 3.23/3.47 (r(z, s(s(s(z))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[1950, 7349])).
% 3.23/3.47 tff(7351,plain,
% 3.23/3.47 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[919, 371, 164])).
% 3.23/3.47 tff(7352,plain,
% 3.23/3.47 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[689, 7351])).
% 3.23/3.47 tff(7353,plain,
% 3.23/3.47 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7352, 4464])).
% 3.23/3.47 tff(7354,plain,
% 3.23/3.47 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[6715, 2829])).
% 3.23/3.47 tff(7355,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(7356,plain,
% 3.23/3.47 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(7357,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7356])).
% 3.23/3.47 tff(7358,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7357, 7355])).
% 3.23/3.47 tff(7359,plain,
% 3.23/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.23/3.47 inference(quant_inst,[status(thm)],[])).
% 3.23/3.47 tff(7360,plain,
% 3.23/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 3.23/3.47 tff(7361,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7360, 338, 6387, 7354, 2301, 6386, 7353])).
% 3.23/3.47 tff(7362,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~(z = elem!1)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7363,plain,
% 3.23/3.47 (~r(z, s(s(s(s(z)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7362, 2301, 6387, 6386, 703, 7350])).
% 3.23/3.47 tff(7364,plain,
% 3.23/3.47 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7363, 7344])).
% 3.23/3.47 tff(7365,plain,
% 3.23/3.47 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[2297, 7364, 2835])).
% 3.23/3.47 tff(7366,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), z)),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[2848, 1122, 703])).
% 3.23/3.47 tff(7367,plain,
% 3.23/3.47 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[1662, 7366, 165])).
% 3.23/3.47 tff(7368,plain,
% 3.23/3.47 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.47 inference(monotonicity,[status(thm)],[2822])).
% 3.23/3.47 tff(7369,plain,
% 3.23/3.47 (r(s(s(s(s(z)))), z) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.47 inference(transitivity,[status(thm)],[2844, 7368])).
% 3.23/3.47 tff(7370,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[1122, 7369])).
% 3.23/3.47 tff(7371,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[2191, 7370])).
% 3.23/3.47 tff(7372,plain,((~r(s(s(s(s(z)))), z)) | r(s(s(s(s(elem!1)))), elem!1) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7373,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7372, 1122, 703])).
% 3.23/3.47 tff(7374,plain,
% 3.23/3.47 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[1551, 82, 1269, 5281])).
% 3.23/3.47 tff(7375,plain,
% 3.23/3.47 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[1562, 7374, 1475])).
% 3.23/3.47 tff(7376,plain,
% 3.23/3.47 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7360, 338, 6387, 7375, 2301, 6386])).
% 3.23/3.47 tff(7377,plain,
% 3.23/3.47 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7376, 5921])).
% 3.23/3.47 tff(7378,plain,
% 3.23/3.47 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[5753, 2823])).
% 3.23/3.47 tff(7379,plain,
% 3.23/3.47 ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) <=> (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7378])).
% 3.23/3.47 tff(7380,plain,
% 3.23/3.47 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(7381,plain,
% 3.23/3.47 (((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1))))))) <=> ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(7382,plain,
% 3.23/3.47 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7381])).
% 3.23/3.47 tff(7383,plain,
% 3.23/3.47 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7382, 7380])).
% 3.23/3.47 tff(7384,plain,
% 3.23/3.47 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 3.23/3.47 inference(quant_inst,[status(thm)],[])).
% 3.23/3.47 tff(7385,plain,
% 3.23/3.47 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7384, 7383])).
% 3.23/3.47 tff(7386,plain,
% 3.23/3.47 (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7385, 82, 1269, 5281])).
% 3.23/3.47 tff(7387,plain,
% 3.23/3.47 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7386, 7379])).
% 3.23/3.47 tff(7388,plain,
% 3.23/3.47 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[689, 7387])).
% 3.23/3.47 tff(7389,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7388, 7377])).
% 3.23/3.47 tff(7390,plain,((~r(s(s(s(s(elem!1)))), elem!1)) | (~(z = elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7391,plain,
% 3.23/3.47 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7390, 7373, 6387, 1269, 703, 1475, 6386])).
% 3.23/3.47 tff(7392,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[1651, 7391, 7367, 1496])).
% 3.23/3.47 tff(7393,plain,((~r(s(s(s(s(z)))), z)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~(z = elem!1)) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7394,plain,
% 3.23/3.47 (~r(s(s(s(s(z)))), z)),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7393, 1269, 6387, 2119, 703, 2181, 6386, 165])).
% 3.23/3.47 tff(7395,plain,
% 3.23/3.47 (b(s(s(s(s(z)))), z)),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[127, 7394])).
% 3.23/3.47 tff(7396,plain,
% 3.23/3.47 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[2856, 7395, 703])).
% 3.23/3.47 tff(7397,plain,
% 3.23/3.47 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[2822, 2806])).
% 3.23/3.47 tff(7398,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(z))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7397])).
% 3.23/3.47 tff(7399,plain,
% 3.23/3.47 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[1589, 4455])).
% 3.23/3.47 tff(7400,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(7401,plain,
% 3.23/3.47 (((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1)))) <=> ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(7402,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7401])).
% 3.23/3.47 tff(7403,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7402, 7400])).
% 3.23/3.47 tff(7404,plain,
% 3.23/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.23/3.47 inference(quant_inst,[status(thm)],[])).
% 3.23/3.47 tff(7405,plain,
% 3.23/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7404, 7403])).
% 3.23/3.47 tff(7406,plain,
% 3.23/3.47 (~b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7405, 338, 2303, 315, 314, 1621])).
% 3.23/3.47 tff(7407,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7406, 7399])).
% 3.23/3.47 tff(7408,plain,((~b(s(s(s(s(elem!1)))), s(z))) | (~(z = elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7409,plain,
% 3.23/3.47 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7408, 7365, 703, 315, 314, 7396])).
% 3.23/3.47 tff(7410,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[1585, 7409])).
% 3.23/3.47 tff(7411,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), s(elem!1)) <=> r(s(s(s(s(elem!1)))), s(z))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[4453])).
% 3.23/3.47 tff(7412,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7411])).
% 3.23/3.47 tff(7413,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[1520, 7412])).
% 3.23/3.47 tff(7414,assumption,(~r(s(s(s(s(elem!1)))), s(elem!1))), introduced(assumption)).
% 3.23/3.47 tff(7415,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7414, 7413])).
% 3.23/3.47 tff(7416,plain,(r(s(s(s(s(elem!1)))), s(elem!1)) | (~r(s(s(s(s(elem!1)))), s(z))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7417,plain,
% 3.23/3.47 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7416, 7410, 703])).
% 3.23/3.47 tff(7418,plain,
% 3.23/3.47 (r(s(s(s(s(z)))), s(z))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7417, 7398])).
% 3.23/3.47 tff(7419,assumption,(b(s(z), s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.23/3.47 tff(7420,plain,
% 3.23/3.47 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7419, 5815])).
% 3.23/3.47 tff(7421,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(7422,plain,
% 3.23/3.47 (((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1))))))) <=> ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(7423,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[7422])).
% 3.23/3.47 tff(7424,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7423, 7421])).
% 3.23/3.47 tff(7425,plain,
% 3.23/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.23/3.47 inference(quant_inst,[status(thm)],[])).
% 3.23/3.47 tff(7426,plain,
% 3.23/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 3.23/3.47 tff(7427,plain,
% 3.23/3.47 (~b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7426, 338, 2303, 315, 314, 1621])).
% 3.23/3.47 tff(7428,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7427, 7420])).
% 3.23/3.47 tff(7429,plain,((~b(s(z), s(s(s(s(elem!1)))))) | (~(z = elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(7430,plain,
% 3.23/3.47 (~b(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7429, 7365, 703, 315, 314, 7396])).
% 3.23/3.47 tff(7431,plain,
% 3.23/3.47 (r(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[2239, 7430])).
% 3.23/3.47 tff(7432,plain,
% 3.23/3.47 (r(s(elem!1), s(s(s(s(elem!1))))) <=> r(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[4453])).
% 3.23/3.47 tff(7433,plain,
% 3.23/3.47 (r(s(z), s(s(s(s(elem!1))))) <=> r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7432])).
% 3.23/3.47 tff(7434,plain,
% 3.23/3.47 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[2225, 7433])).
% 3.23/3.47 tff(7435,plain,
% 3.23/3.47 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[2823])).
% 3.23/3.47 tff(7436,plain,
% 3.23/3.47 (r(s(s(s(elem!1))), s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(symmetry,[status(thm)],[7435])).
% 3.23/3.47 tff(7437,plain,
% 3.23/3.47 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[3439, 2829])).
% 3.23/3.47 tff(7438,plain,
% 3.23/3.47 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[7360, 338, 6387, 7437, 2301, 6386])).
% 3.23/3.47 tff(7439,plain,
% 3.23/3.47 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7438, 5921])).
% 3.23/3.47 tff(7440,plain,
% 3.23/3.47 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[689, 7439])).
% 3.23/3.47 tff(7441,plain,
% 3.23/3.47 (r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7440, 5750])).
% 3.23/3.47 tff(7442,plain,
% 3.23/3.47 (r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[7441, 7436])).
% 3.23/3.47 tff(7443,plain,
% 3.23/3.47 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[2808])).
% 3.23/3.47 tff(7444,plain,
% 3.23/3.47 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[2806])).
% 3.23/3.47 tff(7445,plain,
% 3.23/3.47 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.47 inference(transitivity,[status(thm)],[7444, 7443])).
% 3.23/3.47 tff(7446,plain,
% 3.23/3.47 (r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.47 inference(modus_ponens,[status(thm)],[406, 7445])).
% 3.23/3.47 tff(7447,plain,
% 3.23/3.47 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7448,plain,
% 3.23/3.48 (((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(elem!1)))))) <=> ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7449,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1))))))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7448])).
% 3.23/3.48 tff(7450,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7449, 7447])).
% 3.23/3.48 tff(7451,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(7452,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1))))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7451, 7450])).
% 3.23/3.48 tff(7453,plain,
% 3.23/3.48 ($false),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7452, 82, 7446, 7442, 7434])).
% 3.23/3.48 tff(7454,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~(z = elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.48 tff(7455,plain,
% 3.23/3.48 (~r(s(z), s(s(s(z))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7454, 7431, 703, 6387, 2301, 6386, 7418])).
% 3.23/3.48 tff(7456,plain,
% 3.23/3.48 (b(s(z), s(s(s(z))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[424, 7455])).
% 3.23/3.48 tff(7457,plain,
% 3.23/3.48 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), s(elem!1))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[2806])).
% 3.23/3.48 tff(7458,plain,
% 3.23/3.48 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(elem!1)), s(z))),
% 3.23/3.48 inference(symmetry,[status(thm)],[7457])).
% 3.23/3.48 tff(7459,plain,
% 3.23/3.48 (b(s(s(elem!1)), s(z))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[316, 7458])).
% 3.23/3.48 tff(7460,plain,
% 3.23/3.48 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[5753])).
% 3.23/3.48 tff(7461,plain,
% 3.23/3.48 (b(s(s(s(z))), s(s(elem!1)))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[6387, 7460])).
% 3.23/3.48 tff(7462,plain,
% 3.23/3.48 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[2806])).
% 3.23/3.48 tff(7463,plain,
% 3.23/3.48 (b(elem!1, s(elem!1)) <=> b(elem!1, s(z))),
% 3.23/3.48 inference(symmetry,[status(thm)],[7462])).
% 3.23/3.48 tff(7464,plain,
% 3.23/3.48 (b(elem!1, s(elem!1)) <=> b(z, s(z))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7463, 2783])).
% 3.23/3.48 tff(7465,plain,
% 3.23/3.48 (b(z, s(z))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[315, 7464])).
% 3.23/3.48 tff(7466,plain,
% 3.23/3.48 (~r(s(z), z)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[729, 721, 165])).
% 3.23/3.48 tff(7467,plain,
% 3.23/3.48 (b(s(z), z)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[26, 7466])).
% 3.23/3.48 tff(7468,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7469,plain,
% 3.23/3.48 (((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z)))) <=> ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7470,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(elem!1))))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7469])).
% 3.23/3.48 tff(7471,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7470, 7468])).
% 3.23/3.48 tff(7472,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(7473,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(elem!1))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7472, 7471])).
% 3.23/3.48 tff(7474,plain,
% 3.23/3.48 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7473, 82, 721, 1653])).
% 3.23/3.48 tff(7475,plain,
% 3.23/3.48 (b(s(s(s(s(elem!1)))), s(z))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1585, 7474])).
% 3.23/3.48 tff(7476,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7477,plain,
% 3.23/3.48 (((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(elem!1))))))) <=> ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7478,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1))))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7477])).
% 3.23/3.48 tff(7479,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7478, 7476])).
% 3.23/3.48 tff(7480,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(7481,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7480, 7479])).
% 3.23/3.48 tff(7482,plain,
% 3.23/3.48 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7481, 82, 721, 1653])).
% 3.23/3.48 tff(7483,plain,
% 3.23/3.48 (b(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[2239, 7482])).
% 3.23/3.48 tff(7484,plain,
% 3.23/3.48 (~r(z, s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1684, 82, 165, 1653])).
% 3.23/3.48 tff(7485,plain,
% 3.23/3.48 (b(z, s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1698, 7484])).
% 3.23/3.48 tff(7486,plain,
% 3.23/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7487,plain,
% 3.23/3.48 (((~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z)))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7488,plain,
% 3.23/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7487])).
% 3.23/3.48 tff(7489,plain,
% 3.23/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7488, 7486])).
% 3.23/3.48 tff(7490,plain,
% 3.23/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(7491,plain,
% 3.23/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7490, 7489])).
% 3.23/3.48 tff(7492,plain,
% 3.23/3.48 ($false),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7491, 338, 7485, 1677, 7483, 7475, 486, 7467])).
% 3.23/3.48 tff(7493,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(z, s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.48 tff(7494,plain,
% 3.23/3.48 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7493, 721, 7465, 165])).
% 3.23/3.48 tff(7495,plain,
% 3.23/3.48 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1651, 7494, 2119])).
% 3.23/3.48 tff(7496,plain,
% 3.23/3.48 (~r(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7390, 7495, 6387, 1269, 703, 2181, 6386])).
% 3.23/3.48 tff(7497,plain,
% 3.23/3.48 (~r(s(s(s(s(z)))), z)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7372, 7496, 703])).
% 3.23/3.48 tff(7498,plain,
% 3.23/3.48 (b(s(s(s(s(z)))), z)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[127, 7497])).
% 3.23/3.48 tff(7499,plain,
% 3.23/3.48 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[2856, 7498, 703])).
% 3.23/3.48 tff(7500,plain,
% 3.23/3.48 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[2806])).
% 3.23/3.48 tff(7501,plain,
% 3.23/3.48 (r(s(elem!1), s(s(elem!1)))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[721, 7500])).
% 3.23/3.48 tff(7502,plain,
% 3.23/3.48 (r(elem!1, s(s(s(s(z))))) <=> r(z, s(s(s(s(z)))))),
% 3.23/3.48 inference(symmetry,[status(thm)],[7342])).
% 3.23/3.48 tff(7503,plain,
% 3.23/3.48 (r(elem!1, s(s(s(s(elem!1))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.23/3.48 inference(symmetry,[status(thm)],[7341])).
% 3.23/3.48 tff(7504,plain,
% 3.23/3.48 (r(elem!1, s(s(s(s(elem!1))))) <=> r(z, s(s(s(s(z)))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7503, 7502])).
% 3.23/3.48 tff(7505,plain,
% 3.23/3.48 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 3.23/3.48 inference(transitivity,[status(thm)],[4458, 4457])).
% 3.23/3.48 tff(7506,plain,
% 3.23/3.48 (b(s(s(s(s(elem!1)))), s(z))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[2911, 7505])).
% 3.23/3.48 tff(7507,plain,
% 3.23/3.48 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7506, 4455])).
% 3.23/3.48 tff(7508,plain,
% 3.23/3.48 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[2856, 175, 703])).
% 3.23/3.48 tff(7509,plain,
% 3.23/3.48 ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1))))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7405, 338, 315, 314, 7508])).
% 3.23/3.48 tff(7510,plain,
% 3.23/3.48 (~b(elem!1, s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7509, 7507])).
% 3.23/3.48 tff(7511,plain,
% 3.23/3.48 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[2297, 7510, 2835])).
% 3.23/3.48 tff(7512,plain,
% 3.23/3.48 (r(z, s(s(s(s(z)))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7511, 7504])).
% 3.23/3.48 tff(7513,plain,
% 3.23/3.48 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[2822])).
% 3.23/3.48 tff(7514,plain,
% 3.23/3.48 (~b(s(z), s(s(s(s(z)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[3204, 2911, 1740, 486, 175])).
% 3.23/3.48 tff(7515,plain,
% 3.23/3.48 (r(s(z), s(s(s(s(z)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[106, 7514])).
% 3.23/3.48 tff(7516,plain,
% 3.23/3.48 (r(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7515, 7513])).
% 3.23/3.48 tff(7517,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7518,plain,
% 3.23/3.48 (((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1))))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7519,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1))))))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7518])).
% 3.23/3.48 tff(7520,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7519, 7517])).
% 3.23/3.48 tff(7521,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(7522,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1))))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 3.23/3.48 tff(7523,plain,
% 3.23/3.48 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7522, 82, 2267, 1814])).
% 3.23/3.48 tff(7524,plain,
% 3.23/3.48 ($false),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7523, 7434])).
% 3.23/3.48 tff(7525,plain,((~r(s(z), s(s(s(s(elem!1)))))) | (~(z = elem!1)) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.48 tff(7526,plain,
% 3.23/3.48 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7525, 7516, 703, 1814])).
% 3.23/3.48 tff(7527,plain,
% 3.23/3.48 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1724, 7526, 3218])).
% 3.23/3.48 tff(7528,assumption,(b(s(s(s(elem!1))), s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.23/3.48 tff(7529,plain,
% 3.23/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7530,plain,
% 3.23/3.48 (((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1))))))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7531,plain,
% 3.23/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7530])).
% 3.23/3.48 tff(7532,plain,
% 3.23/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7531, 7529])).
% 3.23/3.48 tff(7533,plain,
% 3.23/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(7534,plain,
% 3.23/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 3.23/3.48 tff(7535,plain,
% 3.23/3.48 ($false),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7534, 338, 6387, 2302, 2301, 6386, 7528])).
% 3.23/3.48 tff(7536,plain,((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.48 tff(7537,plain,
% 3.23/3.48 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7536, 7527, 6387, 2301, 6386])).
% 3.23/3.48 tff(7538,plain,
% 3.23/3.48 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7537, 5921])).
% 3.23/3.48 tff(7539,plain,
% 3.23/3.48 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[689, 7538])).
% 3.23/3.48 tff(7540,plain,
% 3.23/3.48 (~r(z, s(s(s(s(z)))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[919, 7539, 164])).
% 3.23/3.48 tff(7541,plain,
% 3.23/3.48 ($false),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7540, 7512])).
% 3.23/3.48 tff(7542,plain,((~b(s(s(s(s(z)))), s(z))) | (~(z = elem!1)) | (~r(z, s(s(s(z))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(elem!1)) = s(s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.48 tff(7543,plain,
% 3.23/3.48 (~b(s(s(s(s(z)))), s(z))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7542, 7498, 703, 315, 314, 6387, 164, 6386, 2120, 7495, 1740, 7465, 7501])).
% 3.23/3.48 tff(7544,plain,
% 3.23/3.48 (r(s(s(s(s(z)))), s(z))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[119, 7543])).
% 3.23/3.48 tff(7545,plain,
% 3.23/3.48 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7544, 7397])).
% 3.23/3.48 tff(7546,plain,
% 3.23/3.48 (~b(z, elem!1)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1036, 4476])).
% 3.23/3.48 tff(7547,plain,
% 3.23/3.48 (b(elem!1, z) <=> b(elem!1, elem!1)),
% 3.23/3.48 inference(monotonicity,[status(thm)],[703])).
% 3.23/3.48 tff(7548,plain,
% 3.23/3.48 (b(elem!1, elem!1) <=> b(elem!1, z)),
% 3.23/3.48 inference(symmetry,[status(thm)],[7547])).
% 3.23/3.48 tff(7549,plain,
% 3.23/3.48 ((~b(elem!1, elem!1)) <=> (~b(elem!1, z))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7548])).
% 3.23/3.48 tff(7550,plain,
% 3.23/3.48 ((~![X: $i] : (~b(X, X))) | (~b(elem!1, elem!1))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(7551,plain,
% 3.23/3.48 (~b(elem!1, elem!1)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7550, 1031])).
% 3.23/3.48 tff(7552,plain,
% 3.23/3.48 (~b(elem!1, z)),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7551, 7549])).
% 3.23/3.48 tff(7553,plain,
% 3.23/3.48 (~r(z, s(z))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[4588, 165, 721])).
% 3.23/3.48 tff(7554,plain,
% 3.23/3.48 (b(z, s(z))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[403, 7553])).
% 3.23/3.48 tff(7555,plain,
% 3.23/3.48 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7493, 7554, 721, 165])).
% 3.23/3.48 tff(7556,plain,
% 3.23/3.48 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1651, 2119, 7555])).
% 3.23/3.48 tff(7557,plain,
% 3.23/3.48 (~r(s(z), z)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[729, 165, 721])).
% 3.23/3.48 tff(7558,plain,
% 3.23/3.48 (b(s(z), z)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[26, 7557])).
% 3.23/3.48 tff(7559,plain,
% 3.23/3.48 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[4215, 2588, 721])).
% 3.23/3.48 tff(7560,plain,
% 3.23/3.48 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1292, 2180, 7559])).
% 3.23/3.48 tff(7561,plain,
% 3.23/3.48 (~(s(s(s(elem!1))) = elem!1)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[3379, 1939])).
% 3.23/3.48 tff(7562,plain,
% 3.23/3.48 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1287, 7561])).
% 3.23/3.48 tff(7563,plain,
% 3.23/3.48 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1361, 165, 1353])).
% 3.23/3.48 tff(7564,plain,
% 3.23/3.48 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1292, 7563, 7562])).
% 3.23/3.48 tff(7565,plain,
% 3.23/3.48 (~r(s(s(s(elem!1))), elem!1)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[6359, 234, 1353])).
% 3.23/3.48 tff(7566,plain,
% 3.23/3.48 (b(s(s(s(elem!1))), elem!1)),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[2162, 7565, 7561])).
% 3.23/3.48 tff(7567,plain,
% 3.23/3.48 (~b(elem!1, s(s(s(elem!1))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[2175, 338, 745, 7566, 746, 7564])).
% 3.23/3.48 tff(7568,plain,
% 3.23/3.48 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1946, 7567, 1939])).
% 3.23/3.48 tff(7569,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7570,plain,
% 3.23/3.48 (((~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1))) <=> ((~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(7571,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1)))))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7570])).
% 3.23/3.48 tff(7572,plain,
% 3.23/3.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[7571, 7569])).
% 3.23/3.48 tff(7573,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(7574,plain,
% 3.23/3.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1)))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 3.23/3.48 tff(7575,plain,
% 3.23/3.48 ($false),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7574, 82, 234, 7568, 1353])).
% 3.23/3.48 tff(7576,plain,((~r(z, elem!1)) | (~r(z, s(s(s(elem!1))))) | (elem!1 = s(s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.48 tff(7577,plain,
% 3.23/3.48 (elem!1 = s(s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[7576, 6324, 165, 1353, 137])).
% 3.23/3.48 tff(7578,plain,
% 3.23/3.48 (s(s(s(elem!1))) = elem!1),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[1924, 7577])).
% 3.23/3.48 tff(7579,plain,
% 3.23/3.48 (b(s(elem!1), s(s(elem!1)))),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[4697, 7578, 2301])).
% 3.23/3.48 tff(7580,plain,
% 3.23/3.48 (r(s(s(s(elem!1))), s(z)) <=> r(elem!1, s(z))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[7578])).
% 3.23/3.48 tff(7581,plain,
% 3.23/3.48 (r(elem!1, s(z))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[2588, 7580])).
% 3.23/3.49 tff(7582,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z))))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7583,plain,
% 3.23/3.49 (((~r(elem!1, s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), elem!1))) <=> ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z))))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7584,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z)))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7583])).
% 3.23/3.49 tff(7585,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z))))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7584, 7582])).
% 3.23/3.49 tff(7586,plain,
% 3.23/3.49 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), elem!1)))),
% 3.23/3.49 inference(quant_inst,[status(thm)],[])).
% 3.23/3.49 tff(7587,plain,
% 3.23/3.49 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(z))) | (~r(elem!1, s(z)))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7586, 7585])).
% 3.23/3.49 tff(7588,plain,
% 3.23/3.49 (~r(s(elem!1), elem!1)),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7587, 82, 803, 3047])).
% 3.23/3.49 tff(7589,plain,
% 3.23/3.49 (b(s(elem!1), elem!1)),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[312, 7588, 306])).
% 3.23/3.49 tff(7590,plain,
% 3.23/3.49 (~r(elem!1, s(elem!1))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[4843, 82, 803, 3047])).
% 3.23/3.49 tff(7591,plain,
% 3.23/3.49 (b(elem!1, s(elem!1))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[252, 7590, 246])).
% 3.23/3.49 tff(7592,plain,
% 3.23/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7593,plain,
% 3.23/3.49 (((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7594,plain,
% 3.23/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7593])).
% 3.23/3.49 tff(7595,plain,
% 3.23/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7594, 7592])).
% 3.23/3.49 tff(7596,plain,
% 3.23/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.23/3.49 inference(quant_inst,[status(thm)],[])).
% 3.23/3.49 tff(7597,plain,
% 3.23/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7596, 7595])).
% 3.23/3.49 tff(7598,plain,
% 3.23/3.49 ($false),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7597, 338, 763, 762, 7591, 7589, 1620])).
% 3.23/3.49 tff(7599,plain,((~r(s(elem!1), s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (elem!1 = s(elem!1)) | (s(elem!1) = elem!1) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.49 tff(7600,plain,
% 3.23/3.49 (~r(s(elem!1), s(z))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7599, 6327, 6330, 7579, 232, 294, 7581])).
% 3.23/3.49 tff(7601,plain,
% 3.23/3.49 (b(s(elem!1), s(z))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[2070, 7600, 3114])).
% 3.23/3.49 tff(7602,plain,
% 3.23/3.49 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7578])).
% 3.23/3.49 tff(7603,plain,
% 3.23/3.49 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(elem!1)), s(elem!1))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7602])).
% 3.23/3.49 tff(7604,plain,
% 3.23/3.49 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(elem!1))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7602])).
% 3.23/3.49 tff(7605,plain,
% 3.23/3.49 ((s(s(elem!1)) = s(elem!1)) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7604])).
% 3.23/3.49 tff(7606,plain,
% 3.23/3.49 ((~(s(s(elem!1)) = s(elem!1))) <=> (~(s(s(elem!1)) = s(s(s(s(elem!1))))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7605])).
% 3.23/3.49 tff(7607,plain,
% 3.23/3.49 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[225, 7606])).
% 3.23/3.49 tff(7608,plain,
% 3.23/3.49 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), elem!1)),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7578])).
% 3.23/3.49 tff(7609,plain,
% 3.23/3.49 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7608])).
% 3.23/3.49 tff(7610,plain,
% 3.23/3.49 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[6327, 7609])).
% 3.23/3.49 tff(7611,plain,
% 3.23/3.49 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7578])).
% 3.23/3.49 tff(7612,plain,
% 3.23/3.49 (b(elem!1, s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7611])).
% 3.23/3.49 tff(7613,plain,
% 3.23/3.49 (b(elem!1, s(s(s(s(elem!1))))) <=> b(elem!1, s(elem!1))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7602])).
% 3.23/3.49 tff(7614,plain,
% 3.23/3.49 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7613])).
% 3.23/3.49 tff(7615,plain,
% 3.23/3.49 (b(elem!1, s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7614, 7612])).
% 3.23/3.49 tff(7616,plain,
% 3.23/3.49 ($false),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[4619, 338, 5347, 5189, 486, 1740, 3084])).
% 3.23/3.49 tff(7617,plain,((~r(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~r(elem!1, z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.49 tff(7618,plain,
% 3.23/3.49 (~r(elem!1, s(elem!1))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7617, 7601, 1740, 6326, 486, 6324])).
% 3.23/3.49 tff(7619,plain,
% 3.23/3.49 (b(elem!1, s(elem!1))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[252, 7618, 232])).
% 3.23/3.49 tff(7620,plain,
% 3.23/3.49 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7619, 7615])).
% 3.23/3.49 tff(7621,plain,
% 3.23/3.49 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7536, 7620, 6387, 2301, 7610])).
% 3.23/3.49 tff(7622,plain,
% 3.23/3.49 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[1724, 7621, 7607])).
% 3.23/3.49 tff(7623,plain,
% 3.23/3.49 (r(s(s(elem!1)), s(elem!1))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7622, 7603])).
% 3.23/3.49 tff(7624,plain,
% 3.23/3.49 (~r(z, s(elem!1))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[272, 7623, 165])).
% 3.23/3.49 tff(7625,plain,
% 3.23/3.49 (b(z, s(elem!1))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[1615, 7624])).
% 3.23/3.49 tff(7626,plain,
% 3.23/3.49 (~b(s(elem!1), z)),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[4621, 7625, 486, 1740, 7601])).
% 3.23/3.49 tff(7627,plain,
% 3.23/3.49 (r(s(elem!1), z)),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[1812, 7626])).
% 3.23/3.49 tff(7628,plain,
% 3.23/3.49 (~r(s(elem!1), elem!1)),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[2764, 7627, 6324])).
% 3.23/3.49 tff(7629,plain,
% 3.23/3.49 (b(s(elem!1), elem!1)),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[312, 7628, 294])).
% 3.23/3.49 tff(7630,plain,
% 3.23/3.49 ($false),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7597, 338, 6327, 6330, 7619, 7629, 7579])).
% 3.23/3.49 tff(7631,plain,((z = elem!1) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(elem!1))))) | b(elem!1, z) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.49 tff(7632,plain,
% 3.23/3.49 (z = elem!1),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7631, 7560, 7558, 165, 7554, 7556, 2588, 137, 1353, 3977, 177])).
% 3.23/3.49 tff(7633,plain,
% 3.23/3.49 (elem!1 = z),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[2752, 7632])).
% 3.23/3.49 tff(7634,plain,
% 3.23/3.49 (r(elem!1, s(s(s(elem!1))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[6626, 7633, 1353])).
% 3.23/3.49 tff(7635,plain,
% 3.23/3.49 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7632])).
% 3.23/3.49 tff(7636,plain,
% 3.23/3.49 (r(elem!1, s(s(elem!1)))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[165, 7635])).
% 3.23/3.49 tff(7637,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7638,plain,
% 3.23/3.49 (((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1))))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7639,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1))))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7638])).
% 3.23/3.49 tff(7640,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7639, 7637])).
% 3.23/3.49 tff(7641,plain,
% 3.23/3.49 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))))),
% 3.23/3.49 inference(quant_inst,[status(thm)],[])).
% 3.23/3.49 tff(7642,plain,
% 3.23/3.49 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7641, 7640])).
% 3.23/3.49 tff(7643,plain,
% 3.23/3.49 ($false),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7642, 82, 1950, 279, 2257])).
% 3.23/3.49 tff(7644,plain,((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.49 tff(7645,plain,
% 3.23/3.49 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7644, 7636, 7634])).
% 3.23/3.49 tff(7646,plain,
% 3.23/3.49 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[2619, 7645, 7060])).
% 3.23/3.49 tff(7647,plain,
% 3.23/3.49 (s(z) = s(elem!1)),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7632])).
% 3.23/3.49 tff(7648,plain,
% 3.23/3.49 (s(s(z)) = s(s(elem!1))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7647])).
% 3.23/3.49 tff(7649,plain,
% 3.23/3.49 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7648])).
% 3.23/3.49 tff(7650,plain,
% 3.23/3.49 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7649])).
% 3.23/3.49 tff(7651,plain,
% 3.23/3.49 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7650])).
% 3.23/3.49 tff(7652,plain,
% 3.23/3.49 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7651])).
% 3.23/3.49 tff(7653,plain,
% 3.23/3.49 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7652])).
% 3.23/3.49 tff(7654,plain,
% 3.23/3.49 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7649])).
% 3.23/3.49 tff(7655,plain,
% 3.23/3.49 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7654, 7653])).
% 3.23/3.49 tff(7656,plain,
% 3.23/3.49 (r(z, s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7632])).
% 3.23/3.49 tff(7657,plain,
% 3.23/3.49 (r(elem!1, s(s(s(z)))) <=> r(z, s(s(s(z))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7656])).
% 3.23/3.49 tff(7658,plain,
% 3.23/3.49 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7649])).
% 3.23/3.49 tff(7659,plain,
% 3.23/3.49 (r(elem!1, s(s(s(elem!1)))) <=> r(elem!1, s(s(s(z))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7658])).
% 3.23/3.49 tff(7660,plain,
% 3.23/3.49 (r(elem!1, s(s(s(elem!1)))) <=> r(z, s(s(s(z))))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7659, 7657])).
% 3.23/3.49 tff(7661,plain,
% 3.23/3.49 (r(z, s(s(s(z))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7634, 7660])).
% 3.23/3.49 tff(7662,plain,
% 3.23/3.49 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7649, 7647])).
% 3.23/3.49 tff(7663,plain,
% 3.23/3.49 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(z))), s(z))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7662])).
% 3.23/3.49 tff(7664,plain,
% 3.23/3.49 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7647])).
% 3.23/3.49 tff(7665,plain,
% 3.23/3.49 (r(s(s(s(elem!1))), s(elem!1))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[2588, 7664])).
% 3.23/3.49 tff(7666,plain,
% 3.23/3.49 (r(s(s(s(z))), s(z))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7665, 7663])).
% 3.23/3.49 tff(7667,plain,
% 3.23/3.49 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7649])).
% 3.23/3.49 tff(7668,plain,
% 3.23/3.49 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7667])).
% 3.23/3.49 tff(7669,plain,
% 3.23/3.49 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7651])).
% 3.23/3.49 tff(7670,plain,
% 3.23/3.49 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7669, 7668])).
% 3.23/3.49 tff(7671,plain,
% 3.23/3.49 ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) <=> (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7670])).
% 3.23/3.49 tff(7672,plain,
% 3.23/3.49 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7647])).
% 3.23/3.49 tff(7673,plain,
% 3.23/3.49 (r(s(elem!1), s(s(elem!1)))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[721, 7672])).
% 3.23/3.49 tff(7674,plain,
% 3.23/3.49 (r(s(z), s(s(z))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[2806, 2807])).
% 3.23/3.49 tff(7675,plain,
% 3.23/3.49 (r(s(elem!1), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7674])).
% 3.23/3.49 tff(7676,plain,
% 3.23/3.49 (r(s(z), s(s(z)))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[1814, 7675])).
% 3.23/3.49 tff(7677,plain,
% 3.23/3.49 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[108, 7397])).
% 3.23/3.49 tff(7678,plain,
% 3.23/3.49 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[2822])).
% 3.23/3.49 tff(7679,plain,
% 3.23/3.49 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(elem!1)) = s(s(s(s(elem!1))))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7678])).
% 3.23/3.49 tff(7680,plain,
% 3.23/3.49 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[4384, 7679])).
% 3.23/3.49 tff(7681,plain,
% 3.23/3.49 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7536, 7528, 6387, 2301, 6386])).
% 3.23/3.49 tff(7682,plain,
% 3.23/3.49 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[1724, 7681, 7680])).
% 3.23/3.49 tff(7683,plain,
% 3.23/3.49 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[3708, 108, 427])).
% 3.23/3.49 tff(7684,plain,
% 3.23/3.49 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[689, 7683])).
% 3.23/3.49 tff(7685,plain,
% 3.23/3.49 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7684, 4464])).
% 3.23/3.49 tff(7686,plain,
% 3.23/3.49 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[113, 108, 70])).
% 3.23/3.49 tff(7687,plain,
% 3.23/3.49 (b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[68, 7686])).
% 3.23/3.49 tff(7688,plain,
% 3.23/3.49 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7687, 4474])).
% 3.23/3.49 tff(7689,plain,
% 3.23/3.49 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[3437, 108, 406])).
% 3.23/3.49 tff(7690,plain,
% 3.23/3.49 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[1011, 7689])).
% 3.23/3.49 tff(7691,plain,
% 3.23/3.49 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7690, 2829])).
% 3.23/3.49 tff(7692,plain,
% 3.23/3.49 ($false),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7360, 338, 6387, 7691, 7688, 6386, 7685])).
% 3.23/3.49 tff(7693,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~(z = elem!1)) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.49 tff(7694,plain,
% 3.23/3.49 (~r(s(z), s(s(s(z))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7693, 108, 6387, 703, 6386, 70, 427])).
% 3.23/3.49 tff(7695,plain,
% 3.23/3.49 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[4520, 7694, 4476])).
% 3.23/3.49 tff(7696,plain,
% 3.23/3.49 (b(s(elem!1), s(s(s(elem!1))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[1515, 7695, 215])).
% 3.23/3.49 tff(7697,plain,
% 3.23/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7698,plain,
% 3.23/3.49 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1)))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7699,plain,
% 3.23/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7698])).
% 3.23/3.49 tff(7700,plain,
% 3.23/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7699, 7697])).
% 3.23/3.49 tff(7701,plain,
% 3.23/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.23/3.49 inference(quant_inst,[status(thm)],[])).
% 3.23/3.49 tff(7702,plain,
% 3.23/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7701, 7700])).
% 3.23/3.49 tff(7703,plain,
% 3.23/3.49 (~b(s(s(elem!1)), s(elem!1))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7702, 338, 6387, 7696, 2301, 6386, 7528])).
% 3.23/3.49 tff(7704,plain,
% 3.23/3.49 (r(s(s(elem!1)), s(elem!1))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[277, 7703, 7154])).
% 3.23/3.49 tff(7705,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7706,plain,
% 3.23/3.49 (((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(elem!1))))))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.23/3.49 inference(rewrite,[status(thm)],[])).
% 3.23/3.49 tff(7707,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[7706])).
% 3.23/3.49 tff(7708,plain,
% 3.23/3.49 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.23/3.49 inference(transitivity,[status(thm)],[7707, 7705])).
% 3.23/3.49 tff(7709,plain,
% 3.23/3.49 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))),
% 3.23/3.49 inference(quant_inst,[status(thm)],[])).
% 3.23/3.49 tff(7710,plain,
% 3.23/3.49 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7709, 7708])).
% 3.23/3.49 tff(7711,plain,
% 3.23/3.49 ($false),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7710, 82, 7704, 7682, 7677])).
% 3.23/3.49 tff(7712,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~(z = elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.49 tff(7713,plain,
% 3.23/3.49 (~r(s(s(s(s(z)))), s(z))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7712, 7528, 2301, 6386, 6387, 703, 215, 7676, 427])).
% 3.23/3.49 tff(7714,plain,
% 3.23/3.49 (b(s(s(s(s(z)))), s(z))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[119, 7713])).
% 3.23/3.49 tff(7715,plain,
% 3.23/3.49 (b(s(z), s(s(s(s(z))))) <=> b(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(monotonicity,[status(thm)],[2822])).
% 3.23/3.49 tff(7716,plain,
% 3.23/3.49 (b(s(z), s(s(s(s(elem!1))))) <=> b(s(z), s(s(s(s(z)))))),
% 3.23/3.49 inference(symmetry,[status(thm)],[7715])).
% 3.23/3.49 tff(7717,plain,
% 3.23/3.49 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7525, 7682, 703, 1814])).
% 3.23/3.49 tff(7718,plain,
% 3.23/3.49 (b(s(z), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[2239, 7717])).
% 3.23/3.49 tff(7719,plain,
% 3.23/3.49 (b(s(z), s(s(s(s(z)))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7718, 7716])).
% 3.23/3.49 tff(7720,plain,
% 3.23/3.49 (~b(s(s(s(s(z)))), z)),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[3204, 7719, 1740, 486, 7714])).
% 3.23/3.49 tff(7721,plain,
% 3.23/3.49 (r(s(s(s(s(z)))), z)),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[127, 7720])).
% 3.23/3.49 tff(7722,plain,
% 3.23/3.49 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[1127, 7721, 164])).
% 3.23/3.49 tff(7723,plain,
% 3.23/3.49 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[1011, 7722])).
% 3.23/3.49 tff(7724,plain,
% 3.23/3.49 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7723, 2829])).
% 3.23/3.49 tff(7725,plain,
% 3.23/3.49 ($false),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7360, 338, 6387, 7724, 2301, 6386, 7528])).
% 3.23/3.49 tff(7726,plain,((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~(z = elem!1)) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(elem!1), s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.49 tff(7727,plain,
% 3.23/3.49 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[7726, 7560, 7556, 7646, 7632, 7661, 7558, 7554, 7673, 210, 7666])).
% 3.23/3.49 tff(7728,plain,
% 3.23/3.49 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.49 inference(modus_ponens,[status(thm)],[7727, 7671])).
% 3.23/3.49 tff(7729,plain,
% 3.23/3.49 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[689, 7728])).
% 3.23/3.49 tff(7730,plain,
% 3.23/3.49 (~r(s(s(s(s(z)))), s(z))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[3708, 911, 427])).
% 3.23/3.49 tff(7731,plain,
% 3.23/3.49 (b(s(s(s(s(z)))), s(z))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[119, 7730])).
% 3.23/3.49 tff(7732,plain,
% 3.23/3.49 (~r(s(z), s(s(s(s(z)))))),
% 3.23/3.49 inference(unit_resolution,[status(thm)],[2959, 911, 427])).
% 3.23/3.50 tff(7733,plain,
% 3.23/3.50 (b(s(z), s(s(s(s(z)))))),
% 3.23/3.50 inference(unit_resolution,[status(thm)],[106, 7732])).
% 3.23/3.50 tff(7734,plain,
% 3.23/3.50 ($false),
% 3.23/3.50 inference(unit_resolution,[status(thm)],[3204, 7733, 7731, 1740, 486, 175])).
% 3.23/3.50 tff(7735,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.50 tff(7736,plain,
% 3.23/3.50 (~b(s(s(s(s(z)))), z)),
% 3.23/3.50 inference(unit_resolution,[status(thm)],[7735, 7729, 7554, 7558, 7666])).
% 3.23/3.50 tff(7737,plain,
% 3.23/3.50 (r(s(s(s(s(z)))), z)),
% 3.23/3.50 inference(unit_resolution,[status(thm)],[127, 7736])).
% 3.23/3.50 tff(7738,plain,
% 3.23/3.50 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.50 inference(unit_resolution,[status(thm)],[1127, 7737, 7661])).
% 3.23/3.50 tff(7739,plain,
% 3.23/3.50 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.23/3.50 inference(unit_resolution,[status(thm)],[1011, 7738])).
% 3.23/3.50 tff(7740,plain,
% 3.23/3.50 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.23/3.50 inference(modus_ponens,[status(thm)],[7739, 7655])).
% 3.23/3.50 tff(7741,plain,
% 3.23/3.50 ((s(s(s(elem!1))) = z) <=> (s(s(s(elem!1))) = elem!1)),
% 3.23/3.50 inference(monotonicity,[status(thm)],[7632])).
% 3.23/3.50 tff(7742,plain,
% 3.23/3.50 ((~(s(s(s(elem!1))) = z)) <=> (~(s(s(s(elem!1))) = elem!1))),
% 3.23/3.50 inference(monotonicity,[status(thm)],[7741])).
% 3.23/3.50 tff(7743,plain,
% 3.23/3.50 (~(s(s(s(elem!1))) = elem!1)),
% 3.23/3.50 inference(modus_ponens,[status(thm)],[1367, 7742])).
% 3.23/3.50 tff(7744,plain,
% 3.23/3.50 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.50 inference(monotonicity,[status(thm)],[7650])).
% 3.23/3.50 tff(7745,plain,
% 3.23/3.50 (r(s(s(s(s(z)))), z) <=> r(s(s(s(s(z)))), elem!1)),
% 3.23/3.50 inference(monotonicity,[status(thm)],[7632])).
% 3.23/3.50 tff(7746,plain,
% 3.23/3.50 (r(s(s(s(s(z)))), z) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.50 inference(transitivity,[status(thm)],[7745, 7744])).
% 3.23/3.50 tff(7747,plain,
% 3.23/3.50 (r(s(s(s(s(elem!1)))), elem!1)),
% 3.23/3.50 inference(modus_ponens,[status(thm)],[7737, 7746])).
% 3.23/3.50 tff(7748,plain,
% 3.23/3.50 (~r(s(s(s(elem!1))), elem!1)),
% 3.23/3.50 inference(unit_resolution,[status(thm)],[7390, 7747, 7560, 7556, 7632, 2181, 7646])).
% 3.23/3.50 tff(7749,plain,
% 3.23/3.50 (b(s(s(s(elem!1))), elem!1)),
% 3.23/3.50 inference(unit_resolution,[status(thm)],[2162, 7748, 7743])).
% 3.23/3.50 tff(7750,plain,
% 3.23/3.50 (r(s(z), s(s(z))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.23/3.50 inference(monotonicity,[status(thm)],[7647, 7648])).
% 3.23/3.50 tff(7751,plain,
% 3.23/3.50 (r(s(elem!1), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 3.23/3.50 inference(symmetry,[status(thm)],[7750])).
% 3.23/3.50 tff(7752,plain,
% 3.23/3.50 (r(s(z), s(s(z)))),
% 3.23/3.50 inference(modus_ponens,[status(thm)],[7673, 7751])).
% 3.23/3.50 tff(7753,plain,
% 3.23/3.50 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.50 inference(rewrite,[status(thm)],[])).
% 3.23/3.50 tff(7754,plain,
% 3.23/3.50 (((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(elem!1))))))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.50 inference(rewrite,[status(thm)],[])).
% 3.23/3.50 tff(7755,plain,
% 3.23/3.50 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1))))),
% 3.23/3.50 inference(monotonicity,[status(thm)],[7754])).
% 3.23/3.50 tff(7756,plain,
% 3.23/3.50 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.23/3.50 inference(transitivity,[status(thm)],[7755, 7753])).
% 3.23/3.50 tff(7757,plain,
% 3.33/3.50 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))))),
% 3.33/3.50 inference(quant_inst,[status(thm)],[])).
% 3.33/3.50 tff(7758,plain,
% 3.33/3.50 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7757, 7756])).
% 3.33/3.50 tff(7759,plain,
% 3.33/3.50 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7758, 82, 254, 7370])).
% 3.33/3.50 tff(7760,plain,
% 3.33/3.50 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1127, 1122, 164])).
% 3.33/3.50 tff(7761,plain,
% 3.33/3.50 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1011, 7760])).
% 3.33/3.50 tff(7762,plain,
% 3.33/3.50 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7761, 2829])).
% 3.33/3.50 tff(7763,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.50 inference(rewrite,[status(thm)],[])).
% 3.33/3.50 tff(7764,plain,
% 3.33/3.50 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.50 inference(rewrite,[status(thm)],[])).
% 3.33/3.50 tff(7765,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.33/3.50 inference(monotonicity,[status(thm)],[7764])).
% 3.33/3.50 tff(7766,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.50 inference(transitivity,[status(thm)],[7765, 7763])).
% 3.33/3.50 tff(7767,plain,
% 3.33/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.33/3.50 inference(quant_inst,[status(thm)],[])).
% 3.33/3.50 tff(7768,plain,
% 3.33/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7767, 7766])).
% 3.33/3.50 tff(7769,plain,
% 3.33/3.50 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7768, 338, 6387, 7762, 2301, 6386])).
% 3.33/3.50 tff(7770,plain,
% 3.33/3.50 ($false),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1724, 7769, 7759, 7680])).
% 3.33/3.50 tff(7771,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~(z = elem!1)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.50 tff(7772,plain,
% 3.33/3.50 (~r(s(s(s(s(z)))), z)),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7771, 254, 2301, 6386, 6387, 703, 164])).
% 3.33/3.50 tff(7773,plain,
% 3.33/3.50 (b(s(s(s(s(z)))), z)),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[127, 7772])).
% 3.33/3.50 tff(7774,plain,
% 3.33/3.50 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7735, 7773, 486, 1740, 427])).
% 3.33/3.50 tff(7775,plain,
% 3.33/3.50 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[689, 7774])).
% 3.33/3.50 tff(7776,plain,
% 3.33/3.50 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7775, 4464])).
% 3.33/3.50 tff(7777,plain,
% 3.33/3.50 (~r(s(s(s(s(z)))), s(z))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7712, 7776, 2301, 6386, 6387, 703, 215, 70, 427])).
% 3.33/3.50 tff(7778,plain,
% 3.33/3.50 (b(s(s(s(s(z)))), s(z))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[119, 7777])).
% 3.33/3.50 tff(7779,plain,
% 3.33/3.50 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7778, 4459])).
% 3.33/3.50 tff(7780,plain,
% 3.33/3.50 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[2856, 7773, 703])).
% 3.33/3.50 tff(7781,plain,
% 3.33/3.50 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.33/3.50 inference(monotonicity,[status(thm)],[2806])).
% 3.33/3.50 tff(7782,plain,
% 3.33/3.50 (b(s(z), elem!1)),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[3104, 4476, 1740])).
% 3.33/3.50 tff(7783,plain,
% 3.33/3.50 (b(s(elem!1), elem!1)),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7782, 7781])).
% 3.33/3.50 tff(7784,plain,
% 3.33/3.50 (b(elem!1, s(z))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[486, 2782])).
% 3.33/3.50 tff(7785,plain,
% 3.33/3.50 (b(elem!1, s(elem!1))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7784, 7462])).
% 3.33/3.50 tff(7786,plain,
% 3.33/3.50 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7536, 7776, 6387, 2301, 6386])).
% 3.33/3.50 tff(7787,plain,
% 3.33/3.50 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1724, 7786, 7680])).
% 3.33/3.50 tff(7788,plain,
% 3.33/3.50 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[5975, 7787, 254])).
% 3.33/3.50 tff(7789,plain,
% 3.33/3.50 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[2297, 7788, 2835])).
% 3.33/3.50 tff(7790,plain,
% 3.33/3.50 ($false),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7405, 338, 7789, 7785, 7783, 7780, 7779])).
% 3.33/3.50 tff(7791,plain,((~r(s(s(elem!1)), elem!1)) | (~(z = elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.50 tff(7792,plain,
% 3.33/3.50 (~r(s(s(elem!1)), elem!1)),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7791, 7632, 7556, 7646, 7560, 210, 7752, 7666, 7554, 7558, 7661])).
% 3.33/3.50 tff(7793,plain,
% 3.33/3.50 (b(s(s(elem!1)), elem!1)),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[327, 7792, 197])).
% 3.33/3.50 tff(7794,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.50 inference(rewrite,[status(thm)],[])).
% 3.33/3.50 tff(7795,plain,
% 3.33/3.50 (((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.50 inference(rewrite,[status(thm)],[])).
% 3.33/3.50 tff(7796,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.33/3.50 inference(monotonicity,[status(thm)],[7795])).
% 3.33/3.50 tff(7797,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.50 inference(transitivity,[status(thm)],[7796, 7794])).
% 3.33/3.50 tff(7798,plain,
% 3.33/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.50 inference(quant_inst,[status(thm)],[])).
% 3.33/3.50 tff(7799,plain,
% 3.33/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 3.33/3.50 tff(7800,plain,
% 3.33/3.50 ($false),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7799, 338, 7793, 7749, 7560, 7740, 7556, 7646])).
% 3.33/3.50 tff(7801,plain,((elem!1 = s(s(elem!1))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | b(elem!1, z) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.50 tff(7802,plain,
% 3.33/3.50 (~r(s(s(s(elem!1))), s(z))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7801, 721, 137, 1353, 165, 7552, 7546])).
% 3.33/3.50 tff(7803,plain,
% 3.33/3.50 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.50 inference(monotonicity,[status(thm)],[2806])).
% 3.33/3.50 tff(7804,plain,
% 3.33/3.50 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(elem!1))), s(z))),
% 3.33/3.50 inference(symmetry,[status(thm)],[7803])).
% 3.33/3.50 tff(7805,plain,
% 3.33/3.50 (r(s(s(s(elem!1))), s(z))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[2043, 7804])).
% 3.33/3.50 tff(7806,plain,
% 3.33/3.50 ($false),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1851, 7805])).
% 3.33/3.50 tff(7807,plain,((~r(s(s(s(elem!1))), s(elem!1))) | r(s(s(s(elem!1))), s(z)) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.50 tff(7808,plain,
% 3.33/3.50 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7807, 7802, 703])).
% 3.33/3.50 tff(7809,plain,
% 3.33/3.50 (b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1971, 7808, 218])).
% 3.33/3.50 tff(7810,plain,
% 3.33/3.50 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7170, 7809, 6387, 6386, 316])).
% 3.33/3.50 tff(7811,plain,
% 3.33/3.50 (r(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1515, 7810, 210])).
% 3.33/3.50 tff(7812,assumption,(r(s(s(s(s(elem!1)))), s(elem!1))), introduced(assumption)).
% 3.33/3.50 tff(7813,plain,
% 3.33/3.50 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.33/3.50 inference(rewrite,[status(thm)],[])).
% 3.33/3.50 tff(7814,plain,
% 3.33/3.50 (((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))) <=> ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.33/3.50 inference(rewrite,[status(thm)],[])).
% 3.33/3.50 tff(7815,plain,
% 3.33/3.50 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))))),
% 3.33/3.50 inference(monotonicity,[status(thm)],[7814])).
% 3.33/3.50 tff(7816,plain,
% 3.33/3.50 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.33/3.50 inference(transitivity,[status(thm)],[7815, 7813])).
% 3.33/3.50 tff(7817,plain,
% 3.33/3.50 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.33/3.50 inference(quant_inst,[status(thm)],[])).
% 3.33/3.50 tff(7818,plain,
% 3.33/3.50 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 3.33/3.50 tff(7819,plain,
% 3.33/3.50 ($false),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7818, 82, 1502, 1548, 7812])).
% 3.33/3.50 tff(7820,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.50 tff(7821,plain,
% 3.33/3.50 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7820, 7811, 7545])).
% 3.33/3.50 tff(7822,plain,
% 3.33/3.50 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1562, 7821, 2181])).
% 3.33/3.50 tff(7823,plain,
% 3.33/3.50 ($false),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7768, 338, 6387, 2208, 2302, 2301, 6386])).
% 3.33/3.50 tff(7824,plain,((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.50 tff(7825,plain,
% 3.33/3.50 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7824, 7822, 6387, 7495, 6386])).
% 3.33/3.50 tff(7826,plain,
% 3.33/3.50 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[1724, 7825, 2120])).
% 3.33/3.50 tff(7827,plain,
% 3.33/3.50 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7525, 7826, 703, 7501])).
% 3.33/3.50 tff(7828,plain,
% 3.33/3.50 (b(s(z), s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[2239, 7827])).
% 3.33/3.50 tff(7829,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.33/3.50 inference(rewrite,[status(thm)],[])).
% 3.33/3.50 tff(7830,plain,
% 3.33/3.50 (((~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.33/3.50 inference(rewrite,[status(thm)],[])).
% 3.33/3.50 tff(7831,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.33/3.50 inference(monotonicity,[status(thm)],[7830])).
% 3.33/3.50 tff(7832,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.33/3.50 inference(transitivity,[status(thm)],[7831, 7829])).
% 3.33/3.50 tff(7833,plain,
% 3.33/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.33/3.50 inference(quant_inst,[status(thm)],[])).
% 3.33/3.50 tff(7834,plain,
% 3.33/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.33/3.50 inference(modus_ponens,[status(thm)],[7833, 7832])).
% 3.33/3.50 tff(7835,plain,
% 3.33/3.50 ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7834, 338, 6387, 316, 315, 7495])).
% 3.33/3.50 tff(7836,plain,
% 3.33/3.50 (~b(s(s(elem!1)), elem!1)),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7835, 7822])).
% 3.33/3.50 tff(7837,plain,
% 3.33/3.50 (r(s(s(elem!1)), elem!1)),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[327, 7836, 197])).
% 3.33/3.50 tff(7838,plain,
% 3.33/3.50 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[5975, 7826, 7837])).
% 3.33/3.50 tff(7839,plain,
% 3.33/3.50 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[2297, 7838, 2835])).
% 3.33/3.50 tff(7840,plain,
% 3.33/3.50 ($false),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7429, 7839, 7828, 703, 315, 314, 7499])).
% 3.33/3.50 tff(7841,plain,((~r(s(z), s(s(elem!1)))) | (~(z = elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.50 tff(7842,plain,
% 3.33/3.50 (~r(s(z), s(s(elem!1)))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[7841, 316, 315, 314, 6387, 703, 6386, 164, 1740, 1269, 165, 137, 1353])).
% 3.33/3.50 tff(7843,plain,
% 3.33/3.50 (b(s(z), s(s(elem!1)))),
% 3.33/3.50 inference(unit_resolution,[status(thm)],[743, 7842])).
% 3.33/3.50 tff(7844,plain,
% 3.33/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7845,plain,
% 3.33/3.51 (((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7846,plain,
% 3.33/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[7845])).
% 3.33/3.51 tff(7847,plain,
% 3.33/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.33/3.51 inference(transitivity,[status(thm)],[7846, 7844])).
% 3.33/3.51 tff(7848,plain,
% 3.33/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))))),
% 3.33/3.51 inference(quant_inst,[status(thm)],[])).
% 3.33/3.51 tff(7849,plain,
% 3.33/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 3.33/3.51 tff(7850,plain,
% 3.33/3.51 ($false),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7849, 338, 747, 457, 764, 3254, 3485])).
% 3.33/3.51 tff(7851,plain,((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.51 tff(7852,plain,
% 3.33/3.51 (~b(s(s(elem!1)), s(z))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7851, 7843, 3485, 457, 7461])).
% 3.33/3.51 tff(7853,plain,
% 3.33/3.51 ($false),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7852, 7459])).
% 3.33/3.51 tff(7854,plain,((~b(s(s(elem!1)), s(elem!1))) | (~(z = elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.51 tff(7855,plain,
% 3.33/3.51 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7854, 7456, 3485, 703, 315, 314, 6387, 6386, 7350, 1740, 1269, 165, 137, 1353])).
% 3.33/3.51 tff(7856,plain,
% 3.33/3.51 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[277, 7855, 225])).
% 3.33/3.51 tff(7857,plain,
% 3.33/3.51 (~b(s(z), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7429, 2303, 703, 315, 314, 1621])).
% 3.33/3.51 tff(7858,plain,
% 3.33/3.51 (r(s(z), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[2239, 7857])).
% 3.33/3.51 tff(7859,plain,
% 3.33/3.51 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7858, 7433])).
% 3.33/3.51 tff(7860,plain,
% 3.33/3.51 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[2311, 2303, 2301, 1621, 763])).
% 3.33/3.51 tff(7861,plain,
% 3.33/3.51 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[1724, 7860, 3218])).
% 3.33/3.51 tff(7862,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7863,plain,
% 3.33/3.51 (((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1)))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7864,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(s(s(s(elem!1))))))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[7863])).
% 3.33/3.51 tff(7865,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(transitivity,[status(thm)],[7864, 7862])).
% 3.33/3.51 tff(7866,plain,
% 3.33/3.51 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.33/3.51 inference(quant_inst,[status(thm)],[])).
% 3.33/3.51 tff(7867,plain,
% 3.33/3.51 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(s(s(s(elem!1))))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 3.33/3.51 tff(7868,plain,
% 3.33/3.51 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7867, 82, 264, 7861])).
% 3.33/3.51 tff(7869,plain,
% 3.33/3.51 ($false),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7868, 7859])).
% 3.33/3.51 tff(7870,plain,((~b(elem!1, s(s(s(s(elem!1)))))) | (~(z = elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(elem!1)) = s(s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.51 tff(7871,plain,
% 3.33/3.51 (~b(s(s(elem!1)), elem!1)),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7870, 7856, 703, 2120, 315, 314, 7396, 2301, 7365])).
% 3.33/3.51 tff(7872,plain,
% 3.33/3.51 (~b(s(s(elem!1)), z)),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[5940, 7871, 4476])).
% 3.33/3.51 tff(7873,assumption,(~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))), introduced(assumption)).
% 3.33/3.51 tff(7874,plain,
% 3.33/3.51 (r(s(s(elem!1)), elem!1)),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[327, 7871, 197])).
% 3.33/3.51 tff(7875,plain,
% 3.33/3.51 (~(s(s(s(s(s(s(elem!1)))))) = s(z))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7317, 703])).
% 3.33/3.51 tff(7876,plain,
% 3.33/3.51 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[5753])).
% 3.33/3.51 tff(7877,plain,
% 3.33/3.51 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.51 inference(symmetry,[status(thm)],[7876])).
% 3.33/3.51 tff(7878,plain,
% 3.33/3.51 (r(s(s(s(z))), z) <=> r(s(s(s(z))), elem!1)),
% 3.33/3.51 inference(monotonicity,[status(thm)],[703])).
% 3.33/3.51 tff(7879,plain,
% 3.33/3.51 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), z)),
% 3.33/3.51 inference(symmetry,[status(thm)],[7878])).
% 3.33/3.51 tff(7880,plain,
% 3.33/3.51 (r(s(s(s(z))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 3.33/3.51 inference(monotonicity,[status(thm)],[2808])).
% 3.33/3.51 tff(7881,plain,
% 3.33/3.51 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(z))), elem!1)),
% 3.33/3.51 inference(symmetry,[status(thm)],[7880])).
% 3.33/3.51 tff(7882,plain,
% 3.33/3.51 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(z))), z)),
% 3.33/3.51 inference(transitivity,[status(thm)],[7881, 7879])).
% 3.33/3.51 tff(7883,plain,
% 3.33/3.51 (r(s(s(s(z))), z)),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[1269, 7882])).
% 3.33/3.51 tff(7884,plain,
% 3.33/3.51 ((s(s(z)) = s(s(s(z)))) <=> (s(s(elem!1)) = s(s(s(z))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[2807])).
% 3.33/3.51 tff(7885,plain,
% 3.33/3.51 ((s(s(z)) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.33/3.51 inference(transitivity,[status(thm)],[7884, 4361])).
% 3.33/3.51 tff(7886,plain,
% 3.33/3.51 ((~(s(s(z)) = s(s(s(z))))) <=> (~(s(s(s(z))) = s(s(elem!1))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[7885])).
% 3.33/3.51 tff(7887,plain,
% 3.33/3.51 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[529, 7886])).
% 3.33/3.51 tff(7888,plain,
% 3.33/3.51 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7854, 457, 3485, 703, 315, 314, 6387, 6386, 7350, 1740, 1269, 165, 137, 1353])).
% 3.33/3.51 tff(7889,plain,
% 3.33/3.51 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[277, 7888, 225])).
% 3.33/3.51 tff(7890,plain,
% 3.33/3.51 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7710, 82, 7889, 7417])).
% 3.33/3.51 tff(7891,plain,
% 3.33/3.51 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[1724, 7890, 2120])).
% 3.33/3.51 tff(7892,plain,
% 3.33/3.51 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7536, 7891, 6387, 2301, 6386])).
% 3.33/3.51 tff(7893,plain,
% 3.33/3.51 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7892, 5921])).
% 3.33/3.51 tff(7894,plain,
% 3.33/3.51 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[689, 7893])).
% 3.33/3.51 tff(7895,plain,
% 3.33/3.51 (~r(s(s(s(z))), s(z))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7735, 7894, 7465, 1740, 7395])).
% 3.33/3.51 tff(7896,plain,
% 3.33/3.51 (b(s(s(s(z))), s(z))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[437, 7895])).
% 3.33/3.51 tff(7897,plain,
% 3.33/3.51 (~b(s(z), s(s(elem!1)))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[1230, 7896, 7887, 7883, 457, 787])).
% 3.33/3.51 tff(7898,plain,
% 3.33/3.51 (r(s(z), s(s(elem!1)))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[743, 7897])).
% 3.33/3.51 tff(7899,plain,
% 3.33/3.51 (r(s(elem!1), s(s(elem!1)))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7898, 7500])).
% 3.33/3.51 tff(7900,plain,
% 3.33/3.51 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6204, 82, 279, 6169])).
% 3.33/3.51 tff(7901,plain,
% 3.33/3.51 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6151, 7900, 5930])).
% 3.33/3.51 tff(7902,plain,
% 3.33/3.51 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1)) <=> r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[4453])).
% 3.33/3.51 tff(7903,plain,
% 3.33/3.51 ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[7902])).
% 3.33/3.51 tff(7904,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7905,plain,
% 3.33/3.51 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.51 inference(quant_inst,[status(thm)],[])).
% 3.33/3.51 tff(7906,plain,
% 3.33/3.51 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7905, 7904])).
% 3.33/3.51 tff(7907,plain,
% 3.33/3.51 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7906, 82, 1814, 6169])).
% 3.33/3.51 tff(7908,plain,
% 3.33/3.51 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7907, 7903])).
% 3.33/3.51 tff(7909,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7910,plain,
% 3.33/3.51 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7911,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[7910])).
% 3.33/3.51 tff(7912,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.51 inference(transitivity,[status(thm)],[7911, 7909])).
% 3.33/3.51 tff(7913,plain,
% 3.33/3.51 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.51 inference(quant_inst,[status(thm)],[])).
% 3.33/3.51 tff(7914,plain,
% 3.33/3.51 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7913, 7912])).
% 3.33/3.51 tff(7915,plain,
% 3.33/3.51 (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7914, 82, 1814, 6169])).
% 3.33/3.51 tff(7916,plain,
% 3.33/3.51 (~r(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7915, 6123])).
% 3.33/3.51 tff(7917,plain,
% 3.33/3.51 (b(s(elem!1), s(s(s(s(s(s(elem!1))))))) <=> b(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[4453])).
% 3.33/3.51 tff(7918,plain,
% 3.33/3.51 (b(s(z), s(s(s(s(s(s(elem!1))))))) <=> b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(symmetry,[status(thm)],[7917])).
% 3.33/3.51 tff(7919,assumption,(~r(s(z), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.33/3.51 tff(7920,plain,
% 3.33/3.51 (~(s(z) = s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6120, 6118])).
% 3.33/3.51 tff(7921,plain,
% 3.33/3.51 (b(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6135, 7920, 7919])).
% 3.33/3.51 tff(7922,plain,
% 3.33/3.51 (b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7921, 7918])).
% 3.33/3.51 tff(7923,plain,
% 3.33/3.51 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) <=> b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[4453])).
% 3.33/3.51 tff(7924,plain,
% 3.33/3.51 (b(s(s(s(s(s(s(elem!1)))))), s(z)) <=> b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.33/3.51 inference(symmetry,[status(thm)],[7923])).
% 3.33/3.51 tff(7925,assumption,(~r(s(s(s(s(s(s(elem!1)))))), s(z))), introduced(assumption)).
% 3.33/3.51 tff(7926,plain,
% 3.33/3.51 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6104, 6118, 7925])).
% 3.33/3.51 tff(7927,plain,
% 3.33/3.51 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7926, 7924])).
% 3.33/3.51 tff(7928,plain,
% 3.33/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7929,plain,
% 3.33/3.51 (((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7930,plain,
% 3.33/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[7929])).
% 3.33/3.51 tff(7931,plain,
% 3.33/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.51 inference(transitivity,[status(thm)],[7930, 7928])).
% 3.33/3.51 tff(7932,plain,
% 3.33/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.33/3.51 inference(quant_inst,[status(thm)],[])).
% 3.33/3.51 tff(7933,plain,
% 3.33/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 3.33/3.51 tff(7934,plain,
% 3.33/3.51 ($false),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7933, 338, 315, 314, 6187, 7927, 7922])).
% 3.33/3.51 tff(7935,plain,((s(s(s(s(s(s(elem!1)))))) = s(z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~(z = elem!1)) | r(s(z), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(s(s(elem!1)))))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.51 tff(7936,plain,
% 3.33/3.51 ($false),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7935, 7916, 7908, 314, 315, 703, 7875, 7901])).
% 3.33/3.51 tff(7937,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~(z = elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.51 tff(7938,plain,
% 3.33/3.51 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7937, 7899, 315, 703, 314, 2837])).
% 3.33/3.51 tff(7939,plain,
% 3.33/3.51 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6063, 7938, 6052])).
% 3.33/3.51 tff(7940,plain,
% 3.33/3.51 (r(s(z), s(s(s(s(s(s(elem!1))))))) <=> r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(symmetry,[status(thm)],[6122])).
% 3.33/3.51 tff(7941,plain,
% 3.33/3.51 (~(s(z) = s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6120, 7875])).
% 3.33/3.51 tff(7942,plain,
% 3.33/3.51 ((~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) <=> (~b(s(z), s(s(s(s(s(s(elem!1))))))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[7917])).
% 3.33/3.51 tff(7943,plain,
% 3.33/3.51 (~r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6221, 6213, 254])).
% 3.33/3.51 tff(7944,plain,
% 3.33/3.51 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6185, 7943, 6168])).
% 3.33/3.51 tff(7945,assumption,(b(s(elem!1), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.33/3.51 tff(7946,plain,
% 3.33/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7947,plain,
% 3.33/3.51 (((~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1))))))))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7948,plain,
% 3.33/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 3.33/3.51 inference(monotonicity,[status(thm)],[7947])).
% 3.33/3.51 tff(7949,plain,
% 3.33/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.33/3.51 inference(transitivity,[status(thm)],[7948, 7946])).
% 3.33/3.51 tff(7950,plain,
% 3.33/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.51 inference(quant_inst,[status(thm)],[])).
% 3.33/3.51 tff(7951,plain,
% 3.33/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 3.33/3.51 tff(7952,plain,
% 3.33/3.51 ($false),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7951, 338, 315, 314, 6188, 6187, 7945])).
% 3.33/3.51 tff(7953,plain,((~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.51 tff(7954,plain,
% 3.33/3.51 (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[7953, 7944, 314, 315, 6187])).
% 3.33/3.51 tff(7955,plain,
% 3.33/3.51 (~b(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7954, 7942])).
% 3.33/3.51 tff(7956,plain,
% 3.33/3.51 (r(s(z), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(unit_resolution,[status(thm)],[6135, 7955, 7941])).
% 3.33/3.51 tff(7957,plain,
% 3.33/3.51 (r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.51 inference(modus_ponens,[status(thm)],[7956, 7940])).
% 3.33/3.51 tff(7958,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7959,plain,
% 3.33/3.51 (((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(elem!1))))) <=> ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.51 inference(rewrite,[status(thm)],[])).
% 3.33/3.51 tff(7960,plain,
% 3.33/3.51 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[7959])).
% 3.33/3.52 tff(7961,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(transitivity,[status(thm)],[7960, 7958])).
% 3.33/3.52 tff(7962,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(7963,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[7962, 7961])).
% 3.33/3.52 tff(7964,plain,
% 3.33/3.52 (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7963, 82, 1814, 6213])).
% 3.33/3.52 tff(7965,plain,
% 3.33/3.52 ($false),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7964, 7957])).
% 3.33/3.52 tff(7966,plain,((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~(z = elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.52 tff(7967,plain,
% 3.33/3.52 (~b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7966, 6213, 703, 314, 315, 1814, 254])).
% 3.33/3.52 tff(7968,plain,
% 3.33/3.52 (r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[6151, 7967, 5930])).
% 3.33/3.52 tff(7969,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(7970,plain,
% 3.33/3.52 (((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(7971,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[7970])).
% 3.33/3.52 tff(7972,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(transitivity,[status(thm)],[7971, 7969])).
% 3.33/3.52 tff(7973,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(7974,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 3.33/3.52 tff(7975,plain,
% 3.33/3.52 ($false),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7974, 82, 254, 7968, 6213])).
% 3.33/3.52 tff(7976,plain,((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), elem!1)) | (~(z = elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~r(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.52 tff(7977,plain,
% 3.33/3.52 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7976, 7899, 703, 314, 315, 254])).
% 3.33/3.52 tff(7978,plain,
% 3.33/3.52 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[6226, 7977, 6044])).
% 3.33/3.52 tff(7979,plain,
% 3.33/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(7980,plain,
% 3.33/3.52 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(7981,plain,
% 3.33/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[7980])).
% 3.33/3.52 tff(7982,plain,
% 3.33/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(transitivity,[status(thm)],[7981, 7979])).
% 3.33/3.52 tff(7983,plain,
% 3.33/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(7984,plain,
% 3.33/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[7983, 7982])).
% 3.33/3.52 tff(7985,plain,
% 3.33/3.52 ($false),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7984, 338, 6387, 6386, 6210, 6229, 6138])).
% 3.33/3.52 tff(7986,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.52 tff(7987,plain,
% 3.33/3.52 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7986, 7978, 6386, 7939, 6387])).
% 3.33/3.52 tff(7988,plain,
% 3.33/3.52 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[2808])).
% 3.33/3.52 tff(7989,assumption,(b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))), introduced(assumption)).
% 3.33/3.52 tff(7990,plain,
% 3.33/3.52 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 3.33/3.52 tff(7991,assumption,(~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))), introduced(assumption)).
% 3.33/3.52 tff(7992,plain,
% 3.33/3.52 ($false),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7991, 7990])).
% 3.33/3.52 tff(7993,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.52 tff(7994,plain,
% 3.33/3.52 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7993, 7987, 703])).
% 3.33/3.52 tff(7995,plain,
% 3.33/3.52 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(7996,plain,
% 3.33/3.52 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(7997,plain,
% 3.33/3.52 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[7996, 7995])).
% 3.33/3.52 tff(7998,plain,
% 3.33/3.52 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7997, 21])).
% 3.33/3.52 tff(7999,plain,
% 3.33/3.52 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[7998, 7994, 7873])).
% 3.33/3.52 tff(8000,plain,
% 3.33/3.52 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[7999, 7877])).
% 3.33/3.52 tff(8001,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8002,plain,
% 3.33/3.52 (((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8003,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[8002])).
% 3.33/3.52 tff(8004,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.52 inference(transitivity,[status(thm)],[8003, 8001])).
% 3.33/3.52 tff(8005,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(8006,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8005, 8004])).
% 3.33/3.52 tff(8007,plain,
% 3.33/3.52 ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8006, 82, 1950])).
% 3.33/3.52 tff(8008,plain,
% 3.33/3.52 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8007, 8000])).
% 3.33/3.52 tff(8009,plain,
% 3.33/3.52 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[6151, 8008, 5930])).
% 3.33/3.52 tff(8010,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8011,plain,
% 3.33/3.52 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1))))))))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8012,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[8011])).
% 3.33/3.52 tff(8013,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.52 inference(transitivity,[status(thm)],[8012, 8010])).
% 3.33/3.52 tff(8014,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(8015,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 3.33/3.52 tff(8016,plain,
% 3.33/3.52 ((~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8015, 82, 1950])).
% 3.33/3.52 tff(8017,plain,
% 3.33/3.52 (~r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8016, 8000])).
% 3.33/3.52 tff(8018,plain,
% 3.33/3.52 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[6185, 8017, 6168])).
% 3.33/3.52 tff(8019,assumption,(b(s(s(s(s(s(s(elem!1)))))), s(elem!1))), introduced(assumption)).
% 3.33/3.52 tff(8020,plain,
% 3.33/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8021,plain,
% 3.33/3.52 (((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8022,plain,
% 3.33/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[8021])).
% 3.33/3.52 tff(8023,plain,
% 3.33/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.52 inference(transitivity,[status(thm)],[8022, 8020])).
% 3.33/3.52 tff(8024,plain,
% 3.33/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(8025,plain,
% 3.33/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8024, 8023])).
% 3.33/3.52 tff(8026,plain,
% 3.33/3.52 ($false),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8025, 338, 315, 314, 6188, 6187, 8019])).
% 3.33/3.52 tff(8027,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.52 tff(8028,plain,
% 3.33/3.52 (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8027, 8018, 314, 8009, 315])).
% 3.33/3.52 tff(8029,plain,
% 3.33/3.52 (~b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[6111, 8028, 703])).
% 3.33/3.52 tff(8030,plain,
% 3.33/3.52 (r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[6104, 8029, 7875])).
% 3.33/3.52 tff(8031,plain,
% 3.33/3.52 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8030, 6092])).
% 3.33/3.52 tff(8032,plain,
% 3.33/3.52 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))) <=> b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[2823])).
% 3.33/3.52 tff(8033,plain,
% 3.33/3.52 (b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) <=> b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(symmetry,[status(thm)],[8032])).
% 3.33/3.52 tff(8034,assumption,(r(s(s(s(s(s(s(elem!1)))))), s(elem!1))), introduced(assumption)).
% 3.33/3.52 tff(8035,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8036,plain,
% 3.33/3.52 (((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8037,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))))),
% 3.33/3.52 inference(monotonicity,[status(thm)],[8036])).
% 3.33/3.52 tff(8038,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(transitivity,[status(thm)],[8037, 8035])).
% 3.33/3.52 tff(8039,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(8040,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 3.33/3.52 tff(8041,plain,
% 3.33/3.52 ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8040, 82, 7812])).
% 3.33/3.52 tff(8042,plain,
% 3.33/3.52 (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8041, 8034])).
% 3.33/3.52 tff(8043,plain,
% 3.33/3.52 (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8042, 5993])).
% 3.33/3.52 tff(8044,plain,
% 3.33/3.52 (b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[6011, 8043])).
% 3.33/3.52 tff(8045,plain,
% 3.33/3.52 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8044, 8033])).
% 3.33/3.52 tff(8046,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8047,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.33/3.52 inference(quant_inst,[status(thm)],[])).
% 3.33/3.52 tff(8048,plain,
% 3.33/3.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8047, 8046])).
% 3.33/3.52 tff(8049,plain,
% 3.33/3.52 ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8048, 82, 7812])).
% 3.33/3.52 tff(8050,plain,
% 3.33/3.52 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[8049, 8034])).
% 3.33/3.52 tff(8051,plain,
% 3.33/3.52 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8050, 6015])).
% 3.33/3.52 tff(8052,plain,
% 3.33/3.52 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.33/3.52 inference(unit_resolution,[status(thm)],[6024, 8051])).
% 3.33/3.52 tff(8053,plain,
% 3.33/3.52 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.33/3.52 inference(modus_ponens,[status(thm)],[8052, 6026])).
% 3.33/3.52 tff(8054,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8055,plain,
% 3.33/3.52 (((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.52 inference(rewrite,[status(thm)],[])).
% 3.33/3.52 tff(8056,plain,
% 3.33/3.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[8055])).
% 3.33/3.53 tff(8057,plain,
% 3.33/3.53 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.33/3.53 inference(transitivity,[status(thm)],[8056, 8054])).
% 3.33/3.53 tff(8058,plain,
% 3.33/3.53 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.53 inference(quant_inst,[status(thm)],[])).
% 3.33/3.53 tff(8059,plain,
% 3.33/3.53 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 3.33/3.53 tff(8060,plain,
% 3.33/3.53 ((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8059, 82, 264])).
% 3.33/3.53 tff(8061,plain,
% 3.33/3.53 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8060, 8034])).
% 3.33/3.53 tff(8062,plain,
% 3.33/3.53 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[6226, 8061, 6044])).
% 3.33/3.53 tff(8063,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.53 inference(rewrite,[status(thm)],[])).
% 3.33/3.53 tff(8064,plain,
% 3.33/3.53 (((~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.53 inference(rewrite,[status(thm)],[])).
% 3.33/3.53 tff(8065,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[8064])).
% 3.33/3.53 tff(8066,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.53 inference(transitivity,[status(thm)],[8065, 8063])).
% 3.33/3.53 tff(8067,plain,
% 3.33/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 3.33/3.53 inference(quant_inst,[status(thm)],[])).
% 3.33/3.53 tff(8068,plain,
% 3.33/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8067, 8066])).
% 3.33/3.53 tff(8069,plain,
% 3.33/3.53 (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8068, 338, 2302, 2301, 8062, 8053])).
% 3.33/3.53 tff(8070,plain,
% 3.33/3.53 ($false),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8069, 8045])).
% 3.33/3.53 tff(8071,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~(z = elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.53 tff(8072,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8071, 7891, 7889, 2301, 7417, 703])).
% 3.33/3.53 tff(8073,plain,
% 3.33/3.53 ($false),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8072, 8031])).
% 3.33/3.53 tff(8074,plain,((~b(s(z), s(s(s(z))))) | (~(z = elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.53 tff(8075,plain,
% 3.33/3.53 (~r(s(s(elem!1)), z)),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8074, 7874, 314, 315, 1950, 7873, 6386, 6387, 703, 7456, 1740, 2301, 3485, 1269, 165, 137, 1353])).
% 3.33/3.53 tff(8076,plain,
% 3.33/3.53 ($false),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[800, 8075, 7872])).
% 3.33/3.53 tff(8077,plain,((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(elem!1))))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~(z = elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.53 tff(8078,plain,
% 3.33/3.53 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8077, 7340, 7147, 7063, 7302, 7061, 6387, 7292, 1740, 7338, 7065, 165, 137, 1353])).
% 3.33/3.53 tff(8079,plain,
% 3.33/3.53 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[1651, 8078, 2119])).
% 3.33/3.53 tff(8080,plain,
% 3.33/3.53 (~r(s(z), s(s(elem!1)))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[7493, 8079, 7328, 165])).
% 3.33/3.53 tff(8081,plain,
% 3.33/3.53 (b(s(z), s(s(elem!1)))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[743, 8080])).
% 3.33/3.53 tff(8082,plain,
% 3.33/3.53 (b(s(elem!1), s(s(elem!1)))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8081, 7322])).
% 3.33/3.53 tff(8083,plain,
% 3.33/3.53 (~r(s(s(s(s(z)))), z)),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[7393, 7065, 6387, 2119, 7292, 2181, 7061, 165])).
% 3.33/3.53 tff(8084,plain,
% 3.33/3.53 (b(s(s(s(s(z)))), z)),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[127, 8083])).
% 3.33/3.53 tff(8085,plain,
% 3.33/3.53 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[2856, 8084, 7292])).
% 3.33/3.53 tff(8086,plain,
% 3.33/3.53 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7292])).
% 3.33/3.53 tff(8087,plain,
% 3.33/3.53 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(transitivity,[status(thm)],[8086, 2831])).
% 3.33/3.53 tff(8088,plain,
% 3.33/3.53 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[8087])).
% 3.33/3.53 tff(8089,plain,
% 3.33/3.53 (~(elem!1 = s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[1633, 8088])).
% 3.33/3.53 tff(8090,plain,
% 3.33/3.53 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7292])).
% 3.33/3.53 tff(8091,plain,
% 3.33/3.53 (r(elem!1, s(s(elem!1)))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[165, 8090])).
% 3.33/3.53 tff(8092,plain,
% 3.33/3.53 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[2840, 82, 8091, 8079])).
% 3.33/3.53 tff(8093,plain,
% 3.33/3.53 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[2297, 8092, 8089])).
% 3.33/3.53 tff(8094,plain,
% 3.33/3.53 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[7408, 8093, 7292, 7147, 7340, 8085])).
% 3.33/3.53 tff(8095,plain,
% 3.33/3.53 (r(s(s(s(s(elem!1)))), s(z))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[1585, 8094])).
% 3.33/3.53 tff(8096,plain,
% 3.33/3.53 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[7416, 8095, 7292])).
% 3.33/3.53 tff(8097,plain,
% 3.33/3.53 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.53 inference(rewrite,[status(thm)],[])).
% 3.33/3.53 tff(8098,plain,
% 3.33/3.53 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.33/3.53 inference(quant_inst,[status(thm)],[])).
% 3.33/3.53 tff(8099,plain,
% 3.33/3.53 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 3.33/3.53 tff(8100,plain,
% 3.33/3.53 ($false),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8099, 82, 264, 1653, 7812])).
% 3.33/3.53 tff(8101,plain,((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.53 tff(8102,plain,
% 3.33/3.53 (~r(s(s(elem!1)), s(elem!1))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8101, 8079, 8096])).
% 3.33/3.53 tff(8103,plain,
% 3.33/3.53 (b(s(s(elem!1)), s(elem!1))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[277, 8102, 225])).
% 3.33/3.53 tff(8104,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.53 inference(rewrite,[status(thm)],[])).
% 3.33/3.53 tff(8105,plain,
% 3.33/3.53 (((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1)))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.53 inference(rewrite,[status(thm)],[])).
% 3.33/3.53 tff(8106,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[8105])).
% 3.33/3.53 tff(8107,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.53 inference(transitivity,[status(thm)],[8106, 8104])).
% 3.33/3.53 tff(8108,plain,
% 3.33/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))))),
% 3.33/3.53 inference(quant_inst,[status(thm)],[])).
% 3.33/3.53 tff(8109,plain,
% 3.33/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8108, 8107])).
% 3.33/3.53 tff(8110,plain,
% 3.33/3.53 ($false),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8109, 338, 1500, 6387, 316, 6386, 1620])).
% 3.33/3.53 tff(8111,plain,((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.53 tff(8112,plain,
% 3.33/3.53 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8111, 8103, 6387, 7061, 8082])).
% 3.33/3.53 tff(8113,plain,
% 3.33/3.53 (r(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[1971, 8112, 218])).
% 3.33/3.53 tff(8114,plain,
% 3.33/3.53 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7296])).
% 3.33/3.53 tff(8115,plain,
% 3.33/3.53 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.33/3.53 inference(symmetry,[status(thm)],[8114])).
% 3.33/3.53 tff(8116,plain,
% 3.33/3.53 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[8115])).
% 3.33/3.53 tff(8117,plain,
% 3.33/3.53 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(symmetry,[status(thm)],[8116])).
% 3.33/3.53 tff(8118,plain,
% 3.33/3.53 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7296])).
% 3.33/3.53 tff(8119,plain,
% 3.33/3.53 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(transitivity,[status(thm)],[8118, 8117])).
% 3.33/3.53 tff(8120,plain,
% 3.33/3.53 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7296, 7294])).
% 3.33/3.53 tff(8121,plain,
% 3.33/3.53 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(z))), s(z))),
% 3.33/3.53 inference(symmetry,[status(thm)],[8120])).
% 3.33/3.53 tff(8122,plain,
% 3.33/3.53 (r(s(s(s(z))), s(z))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8113, 8121])).
% 3.33/3.53 tff(8123,plain,
% 3.33/3.53 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[7735, 8122, 7328, 1740, 8084])).
% 3.33/3.53 tff(8124,plain,
% 3.33/3.53 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[689, 8123])).
% 3.33/3.53 tff(8125,plain,
% 3.33/3.53 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8124, 8119])).
% 3.33/3.53 tff(8126,plain,
% 3.33/3.53 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[8115])).
% 3.33/3.53 tff(8127,plain,
% 3.33/3.53 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.33/3.53 inference(symmetry,[status(thm)],[8126])).
% 3.33/3.53 tff(8128,plain,
% 3.33/3.53 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7296])).
% 3.33/3.53 tff(8129,plain,
% 3.33/3.53 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.33/3.53 inference(transitivity,[status(thm)],[8128, 8127])).
% 3.33/3.53 tff(8130,plain,
% 3.33/3.53 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[8114, 7294])).
% 3.33/3.53 tff(8131,plain,
% 3.33/3.53 (r(s(s(s(s(elem!1)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(z))),
% 3.33/3.53 inference(symmetry,[status(thm)],[8130])).
% 3.33/3.53 tff(8132,plain,
% 3.33/3.53 (r(s(s(s(s(z)))), s(z))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8096, 8131])).
% 3.33/3.53 tff(8133,plain,
% 3.33/3.53 (r(z, s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7292])).
% 3.33/3.53 tff(8134,plain,
% 3.33/3.53 (r(elem!1, s(s(s(z)))) <=> r(z, s(s(s(z))))),
% 3.33/3.53 inference(symmetry,[status(thm)],[8133])).
% 3.33/3.53 tff(8135,plain,
% 3.33/3.53 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7296])).
% 3.33/3.53 tff(8136,plain,
% 3.33/3.53 (r(elem!1, s(s(s(elem!1)))) <=> r(elem!1, s(s(s(z))))),
% 3.33/3.53 inference(symmetry,[status(thm)],[8135])).
% 3.33/3.53 tff(8137,plain,
% 3.33/3.53 (r(elem!1, s(s(s(elem!1)))) <=> r(z, s(s(s(z))))),
% 3.33/3.53 inference(transitivity,[status(thm)],[8136, 8134])).
% 3.33/3.53 tff(8138,plain,
% 3.33/3.53 (r(z, s(s(s(z))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[7063, 8137])).
% 3.33/3.53 tff(8139,plain,
% 3.33/3.53 (~b(s(z), s(s(s(z))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[7854, 8103, 7338, 7292, 7147, 7340, 6387, 7061, 8138, 1740, 7065, 165, 137, 1353])).
% 3.33/3.53 tff(8140,plain,
% 3.33/3.53 (r(s(z), s(s(s(z))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[424, 8139])).
% 3.33/3.53 tff(8141,plain,
% 3.33/3.53 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[3437, 8140, 8132])).
% 3.33/3.53 tff(8142,plain,
% 3.33/3.53 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[1011, 8141])).
% 3.33/3.53 tff(8143,plain,
% 3.33/3.53 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8142, 8129])).
% 3.33/3.53 tff(8144,plain,
% 3.33/3.53 (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8040, 82, 7812, 8034])).
% 3.33/3.53 tff(8145,plain,
% 3.33/3.53 (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8144, 5993])).
% 3.33/3.53 tff(8146,plain,
% 3.33/3.53 (b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[6011, 8145])).
% 3.33/3.53 tff(8147,plain,
% 3.33/3.53 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8146, 5991])).
% 3.33/3.53 tff(8148,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8048, 82, 7812, 8034])).
% 3.33/3.53 tff(8149,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8148, 6015])).
% 3.33/3.53 tff(8150,plain,
% 3.33/3.53 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[6024, 8149])).
% 3.33/3.53 tff(8151,plain,
% 3.33/3.53 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[6031, 8150, 703])).
% 3.33/3.53 tff(8152,plain,
% 3.33/3.53 ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[7876])).
% 3.33/3.53 tff(8153,plain,
% 3.33/3.53 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.53 inference(rewrite,[status(thm)],[])).
% 3.33/3.53 tff(8154,plain,
% 3.33/3.53 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.53 inference(quant_inst,[status(thm)],[])).
% 3.33/3.53 tff(8155,plain,
% 3.33/3.53 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8154, 8153])).
% 3.33/3.53 tff(8156,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8155, 82, 2043, 8034])).
% 3.33/3.53 tff(8157,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8156, 8152])).
% 3.33/3.53 tff(8158,plain,
% 3.33/3.53 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[7998, 8157, 7873])).
% 3.33/3.53 tff(8159,plain,
% 3.33/3.53 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[7993, 8158, 703])).
% 3.33/3.53 tff(8160,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.53 inference(rewrite,[status(thm)],[])).
% 3.33/3.53 tff(8161,plain,
% 3.33/3.53 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.53 inference(rewrite,[status(thm)],[])).
% 3.33/3.53 tff(8162,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 3.33/3.53 inference(monotonicity,[status(thm)],[8161])).
% 3.33/3.53 tff(8163,plain,
% 3.33/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.53 inference(transitivity,[status(thm)],[8162, 8160])).
% 3.33/3.53 tff(8164,plain,
% 3.33/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 3.33/3.53 inference(quant_inst,[status(thm)],[])).
% 3.33/3.53 tff(8165,plain,
% 3.33/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8164, 8163])).
% 3.33/3.53 tff(8166,plain,
% 3.33/3.53 ($false),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8165, 338, 2208, 7528, 8159, 8151, 8147])).
% 3.33/3.53 tff(8167,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~(z = elem!1)) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.53 tff(8168,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8167, 8143, 8125, 7292, 7302, 8096, 8113])).
% 3.33/3.53 tff(8169,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.33/3.53 inference(modus_ponens,[status(thm)],[8168, 7321])).
% 3.33/3.53 tff(8170,plain,
% 3.33/3.53 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[6104, 8169, 7318])).
% 3.33/3.53 tff(8171,plain,
% 3.33/3.53 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[6111, 8170, 7292])).
% 3.33/3.53 tff(8172,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8007, 5994])).
% 3.33/3.53 tff(8173,plain,
% 3.33/3.53 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[6151, 8172, 6170])).
% 3.33/3.53 tff(8174,plain,
% 3.33/3.53 (~r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8016, 5994])).
% 3.33/3.53 tff(8175,plain,
% 3.33/3.53 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[6185, 8174, 6171])).
% 3.33/3.53 tff(8176,plain,
% 3.33/3.53 ($false),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8027, 8175, 8173, 314, 8019, 315])).
% 3.33/3.53 tff(8177,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.53 tff(8178,plain,
% 3.33/3.53 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.53 inference(unit_resolution,[status(thm)],[8177, 7340, 8171, 7147, 7311, 7309, 7063])).
% 3.33/3.54 tff(8179,plain,
% 3.33/3.54 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8178, 7304])).
% 3.33/3.54 tff(8180,plain,
% 3.33/3.54 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7998, 8179, 7302])).
% 3.33/3.54 tff(8181,plain,
% 3.33/3.54 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7993, 8180, 7292])).
% 3.33/3.54 tff(8182,plain,
% 3.33/3.54 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6043, 8089])).
% 3.33/3.54 tff(8183,plain,
% 3.33/3.54 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6051, 8182])).
% 3.33/3.54 tff(8184,plain,
% 3.33/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8185,plain,
% 3.33/3.54 (((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8186,plain,
% 3.33/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8185])).
% 3.33/3.54 tff(8187,plain,
% 3.33/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.33/3.54 inference(transitivity,[status(thm)],[8186, 8184])).
% 3.33/3.54 tff(8188,plain,
% 3.33/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))),
% 3.33/3.54 inference(quant_inst,[status(thm)],[])).
% 3.33/3.54 tff(8189,plain,
% 3.33/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 3.33/3.54 tff(8190,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8189, 338, 763, 316, 315, 314, 1620])).
% 3.33/3.54 tff(8191,plain,((~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8192,plain,
% 3.33/3.54 (~b(s(s(elem!1)), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8191, 8103, 7147, 7340, 8082])).
% 3.33/3.54 tff(8193,plain,
% 3.33/3.54 (r(s(s(elem!1)), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[327, 8192, 197])).
% 3.33/3.54 tff(8194,plain,
% 3.33/3.54 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6051, 6049])).
% 3.33/3.54 tff(8195,plain,
% 3.33/3.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8196,plain,
% 3.33/3.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.33/3.54 inference(quant_inst,[status(thm)],[])).
% 3.33/3.54 tff(8197,plain,
% 3.33/3.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 3.33/3.54 tff(8198,plain,
% 3.33/3.54 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8197, 82, 254, 6095])).
% 3.33/3.54 tff(8199,plain,
% 3.33/3.54 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6063, 8198, 8194])).
% 3.33/3.54 tff(8200,plain,
% 3.33/3.54 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7974, 82, 254, 6095])).
% 3.33/3.54 tff(8201,plain,
% 3.33/3.54 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6226, 8200, 6049])).
% 3.33/3.54 tff(8202,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7986, 8201, 8199, 6386, 6138, 6387])).
% 3.33/3.54 tff(8203,plain,((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8204,plain,
% 3.33/3.54 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8203, 8181, 7061, 6387, 8182, 8193])).
% 3.33/3.54 tff(8205,plain,
% 3.33/3.54 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6151, 8204, 7309])).
% 3.33/3.54 tff(8206,plain,
% 3.33/3.54 (~b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8027, 8205, 7340, 8171, 7147])).
% 3.33/3.54 tff(8207,plain,
% 3.33/3.54 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6185, 8206, 7311])).
% 3.33/3.54 tff(8208,plain,
% 3.33/3.54 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6180, 8207, 8091])).
% 3.33/3.54 tff(8209,plain,
% 3.33/3.54 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6063, 8208, 8183])).
% 3.33/3.54 tff(8210,plain,
% 3.33/3.54 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6221, 8207, 8193])).
% 3.33/3.54 tff(8211,plain,
% 3.33/3.54 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6226, 8210, 8182])).
% 3.33/3.54 tff(8212,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7986, 8211, 8209, 7061, 8181, 6387])).
% 3.33/3.54 tff(8213,plain,((s(s(s(elem!1))) = elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(elem!1))))) | r(s(s(elem!1)), s(s(s(elem!1)))) | r(z, elem!1) | (s(z) = elem!1) | (~r(s(s(s(elem!1))), z)) | b(elem!1, s(s(s(elem!1)))) | b(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8214,plain,
% 3.33/3.54 (s(s(s(elem!1))) = elem!1),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8213, 1729, 1740, 165, 137, 7031, 2613, 6387, 691, 1301, 1940, 7053])).
% 3.33/3.54 tff(8215,plain,
% 3.33/3.54 (elem!1 = s(s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3379, 8214])).
% 3.33/3.54 tff(8216,plain,
% 3.33/3.54 (r(elem!1, z)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3385, 8215, 1301])).
% 3.33/3.54 tff(8217,plain,
% 3.33/3.54 (~r(elem!1, s(s(s(elem!1))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6371, 8216, 7031])).
% 3.33/3.54 tff(8218,plain,
% 3.33/3.54 (~b(z, elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[2647, 8214, 2138])).
% 3.33/3.54 tff(8219,plain,
% 3.33/3.54 (z = elem!1),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[353, 8218, 1729])).
% 3.33/3.54 tff(8220,plain,
% 3.33/3.54 (elem!1 = z),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[2752, 8219])).
% 3.33/3.54 tff(8221,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6626, 8220, 8217, 7031])).
% 3.33/3.54 tff(8222,plain,(r(z, elem!1) | (~r(s(s(s(elem!1))), z)) | b(z, s(s(s(elem!1)))) | (~b(s(z), z)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(z) = elem!1) | b(elem!1, s(s(s(elem!1)))) | b(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8223,plain,
% 3.33/3.54 (r(z, elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8222, 165, 2138, 1740, 7062, 137, 2613, 6387, 691, 1940, 7053])).
% 3.33/3.54 tff(8224,plain,
% 3.33/3.54 (~r(s(s(s(elem!1))), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6359, 8223, 7031])).
% 3.33/3.54 tff(8225,plain,
% 3.33/3.54 (s(s(s(elem!1))) = elem!1),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[2162, 8224, 7053])).
% 3.33/3.54 tff(8226,plain,
% 3.33/3.54 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8225])).
% 3.33/3.54 tff(8227,plain,
% 3.33/3.54 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 3.33/3.54 inference(transitivity,[status(thm)],[8226, 1051])).
% 3.33/3.54 tff(8228,plain,
% 3.33/3.54 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8227])).
% 3.33/3.54 tff(8229,plain,
% 3.33/3.54 (elem!1 = s(s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7576, 8223, 7031, 137, 165])).
% 3.33/3.54 tff(8230,plain,
% 3.33/3.54 (r(elem!1, z)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3385, 8229, 7062])).
% 3.33/3.54 tff(8231,plain,
% 3.33/3.54 (~r(elem!1, s(s(s(elem!1))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6371, 8230, 7031])).
% 3.33/3.54 tff(8232,plain,
% 3.33/3.54 (~(elem!1 = z)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6626, 8231, 7031])).
% 3.33/3.54 tff(8233,plain,
% 3.33/3.54 (~(z = elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[2752, 8232])).
% 3.33/3.54 tff(8234,plain,
% 3.33/3.54 (~(s(elem!1) = s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1912, 8233])).
% 3.33/3.54 tff(8235,plain,
% 3.33/3.54 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3121, 8234])).
% 3.33/3.54 tff(8236,plain,
% 3.33/3.54 (~(s(s(s(z))) = elem!1)),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8235, 8228])).
% 3.33/3.54 tff(8237,assumption,(s(s(s(s(z)))) = s(elem!1)), introduced(assumption)).
% 3.33/3.54 tff(8238,plain,
% 3.33/3.54 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8237])).
% 3.33/3.54 tff(8239,plain,
% 3.33/3.54 (s(s(s(z))) = elem!1),
% 3.33/3.54 inference(transitivity,[status(thm)],[45, 8238, 199])).
% 3.33/3.54 tff(8240,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1103, 8239])).
% 3.33/3.54 tff(8241,plain,((~(s(s(s(s(z)))) = s(elem!1))) | (s(s(s(z))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8242,plain,
% 3.33/3.54 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8241, 8236])).
% 3.33/3.54 tff(8243,assumption,(s(elem!1) = s(s(s(s(z))))), introduced(assumption)).
% 3.33/3.54 tff(8244,plain,
% 3.33/3.54 (s(s(s(s(z)))) = s(elem!1)),
% 3.33/3.54 inference(symmetry,[status(thm)],[8243])).
% 3.33/3.54 tff(8245,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4864, 8244])).
% 3.33/3.54 tff(8246,plain,((~(s(elem!1) = s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8247,plain,
% 3.33/3.54 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8246, 8242])).
% 3.33/3.54 tff(8248,plain,
% 3.33/3.54 (~(s(z) = s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1919, 8234])).
% 3.33/3.54 tff(8249,plain,
% 3.33/3.54 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7177, 233, 215, 6386, 1353, 6387])).
% 3.33/3.54 tff(8250,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[277, 8249, 273, 7154])).
% 3.33/3.54 tff(8251,plain,((~r(z, s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8252,plain,
% 3.33/3.54 (~r(z, s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8251, 165, 7061, 7031, 6387, 210])).
% 3.33/3.54 tff(8253,plain,
% 3.33/3.54 (b(z, s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1615, 8252])).
% 3.33/3.54 tff(8254,plain,
% 3.33/3.54 (~r(s(s(elem!1)), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[262, 8223, 165])).
% 3.33/3.54 tff(8255,plain,
% 3.33/3.54 (b(s(s(elem!1)), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[327, 8254, 197])).
% 3.33/3.54 tff(8256,plain,
% 3.33/3.54 (~r(elem!1, s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[287, 8223, 165])).
% 3.33/3.54 tff(8257,plain,
% 3.33/3.54 (b(elem!1, s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[321, 8256, 137])).
% 3.33/3.54 tff(8258,plain,
% 3.33/3.54 (~r(s(z), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4588, 1731, 165])).
% 3.33/3.54 tff(8259,plain,
% 3.33/3.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(z))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(z))) | (~r(elem!1, s(z))))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8260,plain,
% 3.33/3.54 (((~r(elem!1, s(z))) | (~r(z, s(z))) | (~r(z, elem!1))) <=> ((~r(z, elem!1)) | (~r(z, s(z))) | (~r(elem!1, s(z))))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8261,plain,
% 3.33/3.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(z, s(z))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(z))) | (~r(elem!1, s(z)))))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8260])).
% 3.33/3.54 tff(8262,plain,
% 3.33/3.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(z, s(z))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(z))) | (~r(elem!1, s(z))))),
% 3.33/3.54 inference(transitivity,[status(thm)],[8261, 8259])).
% 3.33/3.54 tff(8263,plain,
% 3.33/3.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(z, s(z))) | (~r(z, elem!1)))),
% 3.33/3.54 inference(quant_inst,[status(thm)],[])).
% 3.33/3.54 tff(8264,plain,
% 3.33/3.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(z))) | (~r(elem!1, s(z)))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8263, 8262])).
% 3.33/3.54 tff(8265,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8264, 82, 234, 1731, 803])).
% 3.33/3.54 tff(8266,plain,((~r(z, s(z))) | (~r(z, elem!1)) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8267,plain,
% 3.33/3.54 (~r(elem!1, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8266, 234, 1731])).
% 3.33/3.54 tff(8268,plain,
% 3.33/3.54 (~r(s(z), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3145, 234, 1731])).
% 3.33/3.54 tff(8269,plain,
% 3.33/3.54 (b(s(z), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[701, 8268, 691])).
% 3.33/3.54 tff(8270,plain,
% 3.33/3.54 (~b(elem!1, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[839, 8269, 763, 747, 762])).
% 3.33/3.54 tff(8271,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[817, 21, 8270, 697, 8267])).
% 3.33/3.54 tff(8272,plain,((~r(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (s(z) = elem!1) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8273,plain,
% 3.33/3.54 (~b(s(z), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8272, 1731, 691, 234, 762, 763])).
% 3.33/3.54 tff(8274,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[743, 8273, 8258])).
% 3.33/3.54 tff(8275,plain,((~r(z, s(z))) | (s(z) = elem!1) | (~r(z, elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8276,plain,
% 3.33/3.54 (~r(z, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8275, 8223, 691, 8257, 8255, 165])).
% 3.33/3.54 tff(8277,plain,
% 3.33/3.54 (b(z, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[403, 8276])).
% 3.33/3.54 tff(8278,plain,
% 3.33/3.54 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[3167])).
% 3.33/3.54 tff(8279,plain,
% 3.33/3.54 (r(s(elem!1), s(s(elem!1)))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[1653, 8278])).
% 3.33/3.54 tff(8280,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3079, 8279])).
% 3.33/3.54 tff(8281,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | r(s(elem!1), s(s(elem!1))) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8282,plain,
% 3.33/3.54 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8281, 2776, 2143])).
% 3.33/3.54 tff(8283,plain,
% 3.33/3.54 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1651, 8282, 1496])).
% 3.33/3.54 tff(8284,plain,
% 3.33/3.54 (b(s(elem!1), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4697, 8283, 2143])).
% 3.33/3.54 tff(8285,plain,
% 3.33/3.54 (~r(s(elem!1), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[2764, 1815, 234])).
% 3.33/3.54 tff(8286,plain,
% 3.33/3.54 (b(s(elem!1), elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[312, 8285, 306])).
% 3.33/3.54 tff(8287,plain,
% 3.33/3.54 (~r(elem!1, s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[5187, 1815, 802])).
% 3.33/3.54 tff(8288,plain,
% 3.33/3.54 (b(elem!1, s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[252, 8287, 246])).
% 3.33/3.54 tff(8289,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7597, 338, 763, 762, 8288, 8286, 8284])).
% 3.33/3.54 tff(8290,plain,((~r(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~(s(s(s(elem!1))) = elem!1)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (s(elem!1) = elem!1) | (elem!1 = s(elem!1)) | (~r(z, elem!1)) | (~r(elem!1, z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8291,plain,
% 3.33/3.54 (~r(s(elem!1), z)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8290, 8255, 8257, 8225, 2119, 294, 232, 8223, 8230, 165])).
% 3.33/3.54 tff(8292,plain,
% 3.33/3.54 (b(s(elem!1), z)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1812, 8291])).
% 3.33/3.54 tff(8293,plain,
% 3.33/3.54 (~b(s(z), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4302, 8292, 8277, 8253, 1740])).
% 3.33/3.54 tff(8294,plain,
% 3.33/3.54 (r(s(z), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3066, 8293, 8248])).
% 3.33/3.54 tff(8295,plain,
% 3.33/3.54 (~b(z, elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[2647, 8225, 2138])).
% 3.33/3.54 tff(8296,plain,
% 3.33/3.54 (b(s(s(s(elem!1))), z) <=> b(elem!1, z)),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8225])).
% 3.33/3.54 tff(8297,plain,
% 3.33/3.54 ((~b(s(s(s(elem!1))), z)) <=> (~b(elem!1, z))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8296])).
% 3.33/3.54 tff(8298,plain,
% 3.33/3.54 (~b(elem!1, z)),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[1382, 8297])).
% 3.33/3.54 tff(8299,plain,
% 3.33/3.54 (~r(elem!1, s(s(s(elem!1))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6371, 802, 1353])).
% 3.33/3.54 tff(8300,plain,
% 3.33/3.54 (~(elem!1 = z)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[6626, 8299, 1353])).
% 3.33/3.54 tff(8301,plain,
% 3.33/3.54 (~(z = elem!1)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[2752, 8300])).
% 3.33/3.54 tff(8302,plain,
% 3.33/3.54 (~(s(elem!1) = s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1912, 8301])).
% 3.33/3.54 tff(8303,plain,
% 3.33/3.54 (~(s(z) = s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1919, 8302])).
% 3.33/3.54 tff(8304,plain,
% 3.33/3.54 (~r(z, s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8251, 165, 6386, 1353, 6387, 210])).
% 3.33/3.54 tff(8305,plain,
% 3.33/3.54 (b(z, s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1615, 8304])).
% 3.33/3.54 tff(8306,plain,
% 3.33/3.54 (~r(z, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8275, 234, 691, 746, 745, 165])).
% 3.33/3.54 tff(8307,plain,
% 3.33/3.54 (b(z, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[403, 8306])).
% 3.33/3.54 tff(8308,plain,
% 3.33/3.54 (~r(s(elem!1), z)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8290, 745, 746, 2143, 2119, 294, 232, 234, 802, 165])).
% 3.33/3.54 tff(8309,plain,
% 3.33/3.54 (b(s(elem!1), z)),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1812, 8308])).
% 3.33/3.54 tff(8310,plain,
% 3.33/3.54 (~b(s(z), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4302, 8309, 8307, 8305, 1740])).
% 3.33/3.54 tff(8311,plain,
% 3.33/3.54 (r(s(z), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3066, 8310, 8303])).
% 3.33/3.54 tff(8312,plain,
% 3.33/3.54 (~(s(s(s(z))) = s(elem!1))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[3656, 3687])).
% 3.33/3.54 tff(8313,plain,
% 3.33/3.54 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4794, 8312])).
% 3.33/3.54 tff(8314,plain,
% 3.33/3.54 (~b(s(elem!1), s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4621, 8309, 8307, 1740, 8305])).
% 3.33/3.54 tff(8315,plain,
% 3.33/3.54 (r(s(elem!1), s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[2070, 8314, 8302])).
% 3.33/3.54 tff(8316,plain,
% 3.33/3.54 (elem!1 = s(s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7576, 234, 1353, 137, 165])).
% 3.33/3.54 tff(8317,plain,
% 3.33/3.54 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3121, 8302])).
% 3.33/3.54 tff(8318,plain,
% 3.33/3.54 (~(elem!1 = s(s(s(z))))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8317, 3295])).
% 3.33/3.54 tff(8319,plain,
% 3.33/3.54 (~(s(s(s(z))) = elem!1)),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8317, 3113])).
% 3.33/3.54 tff(8320,plain,
% 3.33/3.54 (b(s(s(s(elem!1))), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[2143])).
% 3.33/3.54 tff(8321,plain,
% 3.33/3.54 (b(elem!1, s(elem!1)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.54 inference(symmetry,[status(thm)],[8320])).
% 3.33/3.54 tff(8322,plain,
% 3.33/3.54 (b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[315, 8321])).
% 3.33/3.54 tff(8323,assumption,(~b(s(s(s(elem!1))), s(elem!1))), introduced(assumption)).
% 3.33/3.54 tff(8324,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8323, 8322])).
% 3.33/3.54 tff(8325,plain,((~(s(s(s(elem!1))) = elem!1)) | b(s(s(s(elem!1))), s(elem!1)) | (~b(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8326,plain,
% 3.33/3.54 (b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8325, 315, 2143])).
% 3.33/3.54 tff(8327,plain,
% 3.33/3.54 (r(s(s(s(elem!1))), s(z)) <=> r(elem!1, s(z))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[2143])).
% 3.33/3.54 tff(8328,plain,
% 3.33/3.54 (r(elem!1, s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 3.33/3.54 inference(symmetry,[status(thm)],[8327])).
% 3.33/3.54 tff(8329,plain,
% 3.33/3.54 ((~r(elem!1, s(z))) <=> (~r(s(s(s(elem!1))), s(z)))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8328])).
% 3.33/3.54 tff(8330,plain,
% 3.33/3.54 (b(s(elem!1), s(s(s(z))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3679, 21, 3676, 3656])).
% 3.33/3.54 tff(8331,plain,
% 3.33/3.54 (b(s(s(s(z))), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3691, 21, 8312, 3685])).
% 3.33/3.54 tff(8332,assumption,(b(s(elem!1), s(s(s(z))))), introduced(assumption)).
% 3.33/3.54 tff(8333,assumption,(b(s(s(s(z))), s(elem!1))), introduced(assumption)).
% 3.33/3.54 tff(8334,plain,
% 3.33/3.54 (~r(elem!1, s(s(s(z))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3335, 803, 427])).
% 3.33/3.54 tff(8335,plain,
% 3.33/3.54 (b(elem!1, s(s(s(z))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1160, 8334, 1050])).
% 3.33/3.54 tff(8336,plain,
% 3.33/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1))))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8337,plain,
% 3.33/3.54 (((~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(elem!1), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(elem!1)))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1))))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8338,plain,
% 3.33/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(elem!1), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1)))))),
% 3.33/3.54 inference(monotonicity,[status(thm)],[8337])).
% 3.33/3.54 tff(8339,plain,
% 3.33/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(elem!1), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1))))),
% 3.33/3.54 inference(transitivity,[status(thm)],[8338, 8336])).
% 3.33/3.54 tff(8340,plain,
% 3.33/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(elem!1), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(elem!1))))),
% 3.33/3.54 inference(quant_inst,[status(thm)],[])).
% 3.33/3.54 tff(8341,plain,
% 3.33/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(elem!1), s(s(s(z))))) | (~b(s(s(s(z))), s(elem!1)))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8340, 8339])).
% 3.33/3.54 tff(8342,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8341, 338, 315, 7589, 8335, 5013, 8333, 8332])).
% 3.33/3.54 tff(8343,plain,((~r(elem!1, s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(elem!1), s(s(s(z))))) | (s(elem!1) = elem!1) | (s(s(s(z))) = elem!1) | (~r(s(elem!1), s(z))) | (~r(s(s(s(z))), s(z))) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8344,plain,
% 3.33/3.54 (~r(elem!1, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8343, 315, 8331, 8330, 306, 1103, 3047, 427, 1050])).
% 3.33/3.54 tff(8345,plain,
% 3.33/3.54 (~r(s(s(s(elem!1))), s(z))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8344, 8329])).
% 3.33/3.54 tff(8346,plain,
% 3.33/3.54 (b(s(s(s(elem!1))), s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1990, 8345])).
% 3.33/3.54 tff(8347,plain,
% 3.33/3.54 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1490, 1962])).
% 3.33/3.54 tff(8348,plain,
% 3.33/3.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1)))))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8349,plain,
% 3.33/3.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1)))))),
% 3.33/3.54 inference(quant_inst,[status(thm)],[])).
% 3.33/3.54 tff(8350,plain,
% 3.33/3.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1))))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 3.33/3.54 tff(8351,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8350, 82, 264, 721, 1973])).
% 3.33/3.54 tff(8352,plain,((~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8353,plain,
% 3.33/3.54 (~r(s(s(elem!1)), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8352, 721, 1973])).
% 3.33/3.54 tff(8354,plain,
% 3.33/3.54 (b(s(s(elem!1)), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[277, 8353, 229])).
% 3.33/3.54 tff(8355,plain,
% 3.33/3.54 (~r(z, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4588, 721, 165])).
% 3.33/3.54 tff(8356,plain,
% 3.33/3.54 (~b(z, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7493, 721, 1653, 165])).
% 3.33/3.54 tff(8357,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[403, 8356, 8355])).
% 3.33/3.54 tff(8358,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8359,plain,
% 3.33/3.54 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8358, 721, 165])).
% 3.33/3.54 tff(8360,plain,
% 3.33/3.54 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1651, 8359, 1496])).
% 3.33/3.54 tff(8361,plain,
% 3.33/3.54 (b(s(elem!1), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[4697, 8360, 2143])).
% 3.33/3.54 tff(8362,plain,
% 3.33/3.54 ($false),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8111, 8361, 8354, 6387, 6386, 1500])).
% 3.33/3.54 tff(8363,plain,((~r(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~(s(s(s(elem!1))) = elem!1)) | (s(s(elem!1)) = s(elem!1)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.54 tff(8364,plain,
% 3.33/3.54 (~r(s(z), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8363, 8326, 6386, 6387, 2143, 7154, 8347, 1973, 165])).
% 3.33/3.54 tff(8365,plain,
% 3.33/3.54 (b(s(z), s(s(elem!1)))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[743, 8364])).
% 3.33/3.54 tff(8366,plain,
% 3.33/3.54 (~b(s(z), s(s(s(elem!1))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7259, 8365, 6387, 6386, 8346])).
% 3.33/3.54 tff(8367,plain,
% 3.33/3.54 (r(s(z), s(s(s(elem!1))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1870, 8366])).
% 3.33/3.54 tff(8368,plain,
% 3.33/3.54 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[3055, 8367, 3047])).
% 3.33/3.54 tff(8369,plain,
% 3.33/3.54 (b(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[1515, 8368, 215])).
% 3.33/3.54 tff(8370,plain,
% 3.33/3.54 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[7170, 8369, 6387, 6386, 8326])).
% 3.33/3.54 tff(8371,plain,
% 3.33/3.54 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[277, 8370, 7154])).
% 3.33/3.54 tff(8372,plain,
% 3.33/3.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8373,plain,
% 3.33/3.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))))),
% 3.33/3.54 inference(quant_inst,[status(thm)],[])).
% 3.33/3.54 tff(8374,plain,
% 3.33/3.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z)))),
% 3.33/3.54 inference(modus_ponens,[status(thm)],[8373, 8372])).
% 3.33/3.54 tff(8375,plain,
% 3.33/3.54 (~r(s(s(elem!1)), s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[8374, 82, 8371, 1973])).
% 3.33/3.54 tff(8376,plain,
% 3.33/3.54 (b(s(s(elem!1)), s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[782, 21, 8375, 777])).
% 3.33/3.54 tff(8377,plain,
% 3.33/3.54 (b(elem!1, s(z))),
% 3.33/3.54 inference(unit_resolution,[status(thm)],[819, 8344, 720])).
% 3.33/3.54 tff(8378,plain,
% 3.33/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.33/3.54 inference(rewrite,[status(thm)],[])).
% 3.33/3.54 tff(8379,plain,
% 3.33/3.54 (((~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8380,plain,
% 3.33/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[8379])).
% 3.33/3.55 tff(8381,plain,
% 3.33/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.33/3.55 inference(transitivity,[status(thm)],[8380, 8378])).
% 3.33/3.55 tff(8382,plain,
% 3.33/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))))),
% 3.33/3.55 inference(quant_inst,[status(thm)],[])).
% 3.33/3.55 tff(8383,plain,
% 3.33/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8382, 8381])).
% 3.33/3.55 tff(8384,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8383, 338, 763, 762, 8365, 8377, 8376])).
% 3.33/3.55 tff(8385,plain,((~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~r(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(z)) | (s(elem!1) = elem!1) | (s(s(s(z))) = elem!1) | (~r(s(s(s(z))), s(z))) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8386,plain,
% 3.33/3.55 (~b(elem!1, s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8385, 427, 746, 8311, 6387, 6386, 210, 8315, 2143, 165, 697, 294, 8319, 745, 8318])).
% 3.33/3.55 tff(8387,plain,
% 3.33/3.55 ((~b(elem!1, s(elem!1))) <=> (~b(s(s(s(elem!1))), s(elem!1)))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[8321])).
% 3.33/3.55 tff(8388,plain,
% 3.33/3.55 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[245, 8387])).
% 3.33/3.55 tff(8389,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1500, 8388])).
% 3.33/3.55 tff(8390,plain,((~(s(s(s(elem!1))) = elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | b(elem!1, s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8391,plain,
% 3.33/3.55 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8390, 8386, 2143])).
% 3.33/3.55 tff(8392,plain,
% 3.33/3.55 (r(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1971, 8391, 218])).
% 3.33/3.55 tff(8393,plain,
% 3.33/3.55 (~r(s(z), s(s(s(elem!1))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[6317, 8392, 8311])).
% 3.33/3.55 tff(8394,plain,
% 3.33/3.55 (b(s(z), s(s(s(elem!1))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1870, 8393])).
% 3.33/3.55 tff(8395,plain,
% 3.33/3.55 (r(elem!1, s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[252, 8386, 232])).
% 3.33/3.55 tff(8396,plain,
% 3.33/3.55 (~r(s(z), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[5192, 8395, 8307, 1740, 8303, 802])).
% 3.33/3.55 tff(8397,plain,
% 3.33/3.55 (b(s(z), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[701, 8396, 691])).
% 3.33/3.55 tff(8398,plain,
% 3.33/3.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(elem!1, s(z))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8399,plain,
% 3.33/3.55 (((~r(s(z), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(z)))) <=> ((~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(elem!1, s(z))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8400,plain,
% 3.33/3.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(elem!1, s(z)))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[8399])).
% 3.33/3.55 tff(8401,plain,
% 3.33/3.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(elem!1, s(z))))),
% 3.33/3.55 inference(transitivity,[status(thm)],[8400, 8398])).
% 3.33/3.55 tff(8402,plain,
% 3.33/3.55 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(z))))),
% 3.33/3.55 inference(quant_inst,[status(thm)],[])).
% 3.33/3.55 tff(8403,plain,
% 3.33/3.55 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(elem!1, s(z)))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8402, 8401])).
% 3.33/3.55 tff(8404,plain,
% 3.33/3.55 (~r(elem!1, s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8403, 82, 8395, 8311])).
% 3.33/3.55 tff(8405,plain,
% 3.33/3.55 (b(elem!1, s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[819, 8404, 697])).
% 3.33/3.55 tff(8406,plain,
% 3.33/3.55 (~b(s(z), s(s(elem!1)))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[839, 8405, 745, 746, 8397])).
% 3.33/3.55 tff(8407,plain,
% 3.33/3.55 (r(s(z), s(s(elem!1)))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[743, 8406])).
% 3.33/3.55 tff(8408,plain,
% 3.33/3.55 (~r(s(s(s(elem!1))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[7801, 8407, 137, 1353, 165, 3977, 177])).
% 3.33/3.55 tff(8409,plain,
% 3.33/3.55 (b(s(s(s(elem!1))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1990, 8408])).
% 3.33/3.55 tff(8410,plain,
% 3.33/3.55 ((~(s(s(s(s(z)))) = s(elem!1))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[3630])).
% 3.33/3.55 tff(8411,plain,
% 3.33/3.55 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8241, 8319])).
% 3.33/3.55 tff(8412,plain,
% 3.33/3.55 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8411, 8410])).
% 3.33/3.55 tff(8413,plain,
% 3.33/3.55 (~r(s(s(s(s(z)))), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3581, 82, 802, 1122])).
% 3.33/3.55 tff(8414,plain,
% 3.33/3.55 (~r(elem!1, s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3590, 82, 802, 1122])).
% 3.33/3.55 tff(8415,assumption,(~r(elem!1, s(s(s(s(z)))))), introduced(assumption)).
% 3.33/3.55 tff(8416,plain,
% 3.33/3.55 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[4013])).
% 3.33/3.55 tff(8417,plain,
% 3.33/3.55 ((~b(s(s(s(elem!1))), s(s(s(s(z)))))) <=> (~b(elem!1, s(s(s(s(z))))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[8416])).
% 3.33/3.55 tff(8418,assumption,(~r(s(s(s(s(z)))), elem!1)), introduced(assumption)).
% 3.33/3.55 tff(8419,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1144, 1039, 8418])).
% 3.33/3.55 tff(8420,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8419, 4015])).
% 3.33/3.55 tff(8421,plain,
% 3.33/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8422,plain,
% 3.33/3.55 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8423,plain,
% 3.33/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[8422])).
% 3.33/3.55 tff(8424,plain,
% 3.33/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.33/3.55 inference(transitivity,[status(thm)],[8423, 8421])).
% 3.33/3.55 tff(8425,plain,
% 3.33/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.33/3.55 inference(quant_inst,[status(thm)],[])).
% 3.33/3.55 tff(8426,plain,
% 3.33/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 3.33/3.55 tff(8427,plain,
% 3.33/3.55 ((~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8426, 338, 1880, 5431, 2911])).
% 3.33/3.55 tff(8428,plain,
% 3.33/3.55 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8427, 8420])).
% 3.33/3.55 tff(8429,plain,
% 3.33/3.55 (~b(elem!1, s(s(s(s(z)))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8428, 8417])).
% 3.33/3.55 tff(8430,plain,
% 3.33/3.55 (elem!1 = s(s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1094, 8429, 8415])).
% 3.33/3.55 tff(8431,plain,
% 3.33/3.55 (s(s(s(s(z)))) = elem!1),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8430, 1058])).
% 3.33/3.55 tff(8432,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1039, 8431])).
% 3.33/3.55 tff(8433,plain,((s(s(s(s(z)))) = elem!1) | r(elem!1, s(s(s(s(z))))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | r(s(s(s(s(z)))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8434,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8433, 8414, 8413, 1921, 1039, 5431, 1880, 2911])).
% 3.33/3.55 tff(8435,plain,((~r(s(s(s(s(z)))), z)) | (~(elem!1 = s(s(s(elem!1))))) | (s(s(s(s(z)))) = elem!1) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8436,plain,
% 3.33/3.55 (~b(s(s(s(s(z)))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8435, 1122, 3188, 5431, 1880, 1921, 802])).
% 3.33/3.55 tff(8437,plain,
% 3.33/3.55 (r(s(s(s(s(z)))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[119, 8436])).
% 3.33/3.55 tff(8438,plain,
% 3.33/3.55 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4898, 82, 8437, 3047])).
% 3.33/3.55 tff(8439,plain,
% 3.33/3.55 ((s(elem!1) = s(s(s(s(z))))) | b(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3668, 21, 8438])).
% 3.33/3.55 tff(8440,plain,
% 3.33/3.55 (b(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8439, 8412])).
% 3.33/3.55 tff(8441,plain,
% 3.33/3.55 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4906, 82, 8437, 3047])).
% 3.33/3.55 tff(8442,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4912, 21, 8411, 8441])).
% 3.33/3.55 tff(8443,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), elem!1)),
% 3.33/3.55 inference(monotonicity,[status(thm)],[2143])).
% 3.33/3.55 tff(8444,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.33/3.55 inference(symmetry,[status(thm)],[8443])).
% 3.33/3.55 tff(8445,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1144, 8413, 3188])).
% 3.33/3.55 tff(8446,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8445, 8444])).
% 3.33/3.55 tff(8447,plain,
% 3.33/3.55 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[2143])).
% 3.33/3.55 tff(8448,plain,
% 3.33/3.55 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.33/3.55 inference(symmetry,[status(thm)],[8447])).
% 3.33/3.55 tff(8449,plain,
% 3.33/3.55 (b(elem!1, s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1094, 8414, 3388])).
% 3.33/3.55 tff(8450,plain,
% 3.33/3.55 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8449, 8448])).
% 3.33/3.55 tff(8451,plain,
% 3.33/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8452,plain,
% 3.33/3.55 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8453,plain,
% 3.33/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[8452])).
% 3.33/3.55 tff(8454,plain,
% 3.33/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.33/3.55 inference(transitivity,[status(thm)],[8453, 8451])).
% 3.33/3.55 tff(8455,plain,
% 3.33/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.33/3.55 inference(quant_inst,[status(thm)],[])).
% 3.33/3.55 tff(8456,plain,
% 3.33/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8455, 8454])).
% 3.33/3.55 tff(8457,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8456, 338, 1880, 5431, 651, 3771, 3770])).
% 3.33/3.55 tff(8458,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8459,plain,
% 3.33/3.55 (~b(s(z), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8458, 8450, 5431, 1880, 8446])).
% 3.33/3.55 tff(8460,plain,
% 3.33/3.55 (r(s(z), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[106, 8459])).
% 3.33/3.55 tff(8461,plain,
% 3.33/3.55 ((~b(s(s(s(z))), elem!1)) <=> (~b(s(s(s(z))), s(s(s(elem!1)))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[4185])).
% 3.33/3.55 tff(8462,plain,
% 3.33/3.55 (~r(s(s(s(z))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3700, 539, 3663, 3681, 3656, 3047])).
% 3.33/3.55 tff(8463,plain,
% 3.33/3.55 (b(s(s(s(z))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[437, 8462])).
% 3.33/3.55 tff(8464,plain,
% 3.33/3.55 (~b(s(s(s(z))), z)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3607, 3348, 1740, 458, 486])).
% 3.33/3.55 tff(8465,plain,
% 3.33/3.55 (r(s(s(s(z))), z)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[135, 8464])).
% 3.33/3.55 tff(8466,plain,
% 3.33/3.55 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4106, 3421, 72])).
% 3.33/3.55 tff(8467,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1011, 8466])).
% 3.33/3.55 tff(8468,plain,
% 3.33/3.55 (~r(elem!1, s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3397, 8465, 802])).
% 3.33/3.55 tff(8469,plain,
% 3.33/3.55 (b(elem!1, s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1160, 8468, 1050])).
% 3.33/3.55 tff(8470,plain,
% 3.33/3.55 (~b(s(s(s(z))), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[2389, 8469, 539, 8467, 1130])).
% 3.33/3.55 tff(8471,plain,
% 3.33/3.55 (r(s(s(s(z))), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1110, 8470, 1103])).
% 3.33/3.55 tff(8472,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[2394, 82, 802, 8471, 8465])).
% 3.33/3.55 tff(8473,plain,((~b(z, s(s(s(z))))) | (~r(elem!1, z)) | (s(s(s(z))) = elem!1) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (elem!1 = s(s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8474,plain,
% 3.33/3.55 (~b(z, s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8473, 539, 8319, 802, 8445, 8318, 72, 486, 1740, 8463])).
% 3.33/3.55 tff(8475,plain,
% 3.33/3.55 (r(z, s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[149, 8474])).
% 3.33/3.55 tff(8476,plain,
% 3.33/3.55 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1127, 8475, 1122])).
% 3.33/3.55 tff(8477,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1011, 8476])).
% 3.33/3.55 tff(8478,plain,
% 3.33/3.55 (~r(elem!1, s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3328, 8475, 234])).
% 3.33/3.55 tff(8479,plain,
% 3.33/3.55 (b(elem!1, s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1160, 8478, 8318])).
% 3.33/3.55 tff(8480,plain,
% 3.33/3.55 (~b(s(s(s(z))), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[2389, 8479, 539, 8477, 8445])).
% 3.33/3.55 tff(8481,plain,
% 3.33/3.55 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8480, 8461])).
% 3.33/3.55 tff(8482,plain,
% 3.33/3.55 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3303, 8317])).
% 3.33/3.55 tff(8483,assumption,(r(s(s(s(z))), s(s(s(elem!1))))), introduced(assumption)).
% 3.33/3.55 tff(8484,plain,
% 3.33/3.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8485,plain,
% 3.33/3.55 (((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.33/3.55 inference(rewrite,[status(thm)],[])).
% 3.33/3.55 tff(8486,plain,
% 3.33/3.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(elem!1)))))))),
% 3.33/3.55 inference(monotonicity,[status(thm)],[8485])).
% 3.33/3.55 tff(8487,plain,
% 3.33/3.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.33/3.55 inference(transitivity,[status(thm)],[8486, 8484])).
% 3.33/3.55 tff(8488,plain,
% 3.33/3.55 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))))),
% 3.33/3.55 inference(quant_inst,[status(thm)],[])).
% 3.33/3.55 tff(8489,plain,
% 3.33/3.55 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(elem!1)))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8488, 8487])).
% 3.33/3.55 tff(8490,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8489, 82, 1353, 164, 8483])).
% 3.33/3.55 tff(8491,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8492,plain,
% 3.33/3.55 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8491, 8475, 1353])).
% 3.33/3.55 tff(8493,plain,
% 3.33/3.55 (b(s(s(s(z))), s(s(s(elem!1))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3784, 8492, 8482])).
% 3.33/3.55 tff(8494,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8493, 8481])).
% 3.33/3.55 tff(8495,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(elem!1, z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8496,plain,
% 3.33/3.55 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8495, 1122, 2143, 1353, 234, 802, 8460, 486, 1740, 8442, 8440, 3047])).
% 3.33/3.55 tff(8497,plain,
% 3.33/3.55 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[689, 8496])).
% 3.33/3.55 tff(8498,plain,
% 3.33/3.55 (~r(s(s(s(z))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3708, 8497, 8437])).
% 3.33/3.55 tff(8499,plain,
% 3.33/3.55 (b(s(s(s(z))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[437, 8498])).
% 3.33/3.55 tff(8500,plain,
% 3.33/3.55 (~r(s(s(s(z))), z)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3603, 8497, 1122])).
% 3.33/3.55 tff(8501,plain,
% 3.33/3.55 (b(s(s(s(z))), z)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[135, 8500])).
% 3.33/3.55 tff(8502,plain,
% 3.33/3.55 (~b(s(z), s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1749, 8501, 1740, 486, 8499])).
% 3.33/3.55 tff(8503,plain,
% 3.33/3.55 (r(s(z), s(s(s(z))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[424, 8502])).
% 3.33/3.55 tff(8504,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3447, 82, 8503, 8460, 8497])).
% 3.33/3.55 tff(8505,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(elem!1, z)) | (~r(s(elem!1), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~(elem!1 = s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8506,plain,
% 3.33/3.55 (~r(s(s(s(s(z)))), z)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8505, 8409, 8307, 2143, 1353, 234, 802, 8394, 1740, 8315, 8316])).
% 3.33/3.55 tff(8507,plain,
% 3.33/3.55 (b(s(s(s(s(z)))), z)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[127, 8506])).
% 3.33/3.55 tff(8508,plain,
% 3.33/3.55 (~b(s(s(s(s(z)))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3204, 8507, 1740, 8307, 651])).
% 3.33/3.55 tff(8509,plain,
% 3.33/3.55 (r(s(s(s(s(z)))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[119, 8508])).
% 3.33/3.55 tff(8510,plain,
% 3.33/3.55 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4906, 82, 8509, 8315])).
% 3.33/3.55 tff(8511,plain,
% 3.33/3.55 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8246, 8411])).
% 3.33/3.55 tff(8512,plain,
% 3.33/3.55 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[7735, 8507, 8307, 1740, 427])).
% 3.33/3.55 tff(8513,plain,
% 3.33/3.55 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[689, 8512])).
% 3.33/3.55 tff(8514,plain,
% 3.33/3.55 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4898, 82, 8509, 8315])).
% 3.33/3.55 tff(8515,plain,
% 3.33/3.55 (~b(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[3702, 8514, 8315, 3656, 427, 8513, 8511])).
% 3.33/3.55 tff(8516,plain,
% 3.33/3.55 ($false),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4912, 21, 8515, 8411, 8510])).
% 3.33/3.55 tff(8517,plain,((~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(elem!1, z)) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | b(elem!1, z) | b(z, elem!1) | (s(z) = elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.55 tff(8518,plain,
% 3.33/3.55 (~r(s(s(s(z))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[8517, 651, 1740, 2143, 1353, 234, 802, 137, 165, 3977, 177, 691, 6387, 6386])).
% 3.33/3.55 tff(8519,plain,
% 3.33/3.55 (b(s(s(s(z))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[437, 8518])).
% 3.33/3.55 tff(8520,plain,
% 3.33/3.55 (~b(s(elem!1), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4621, 8309, 8307, 1740, 1597])).
% 3.33/3.55 tff(8521,plain,
% 3.33/3.55 (r(s(elem!1), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[2070, 8520, 8302])).
% 3.33/3.55 tff(8522,plain,
% 3.33/3.55 (~r(s(z), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[5192, 235, 8307, 1740, 8303, 802])).
% 3.33/3.55 tff(8523,plain,
% 3.33/3.55 (b(s(z), elem!1)),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[701, 8522, 691])).
% 3.33/3.55 tff(8524,plain,
% 3.33/3.55 (b(s(z), s(s(s(elem!1)))) <=> b(s(z), elem!1)),
% 3.33/3.55 inference(monotonicity,[status(thm)],[2143])).
% 3.33/3.55 tff(8525,plain,
% 3.33/3.55 (b(s(z), elem!1) <=> b(s(z), s(s(s(elem!1))))),
% 3.33/3.55 inference(symmetry,[status(thm)],[8524])).
% 3.33/3.55 tff(8526,plain,
% 3.33/3.55 (b(s(z), s(s(s(elem!1))))),
% 3.33/3.55 inference(modus_ponens,[status(thm)],[8523, 8525])).
% 3.33/3.55 tff(8527,plain,
% 3.33/3.55 (~b(s(elem!1), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[4621, 8309, 486, 1740, 1597])).
% 3.33/3.55 tff(8528,plain,
% 3.33/3.55 (r(s(elem!1), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[2070, 8527, 8302])).
% 3.33/3.55 tff(8529,plain,
% 3.33/3.55 (~r(s(s(s(elem!1))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[7801, 721, 137, 1353, 165, 3977, 177])).
% 3.33/3.55 tff(8530,plain,
% 3.33/3.55 (b(s(s(s(elem!1))), s(z))),
% 3.33/3.55 inference(unit_resolution,[status(thm)],[1990, 8529])).
% 3.33/3.56 tff(8531,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8505, 8530, 486, 2143, 1353, 234, 802, 1880, 1740, 8528, 8316])).
% 3.33/3.56 tff(8532,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[127, 8531])).
% 3.33/3.56 tff(8533,plain,
% 3.33/3.56 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1651, 8359, 2119])).
% 3.33/3.56 tff(8534,plain,
% 3.33/3.56 (b(s(elem!1), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4697, 8533, 2143])).
% 3.33/3.56 tff(8535,plain,
% 3.33/3.56 (~r(elem!1, s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[7599, 8534, 745, 8528, 232, 294, 746])).
% 3.33/3.56 tff(8536,plain,
% 3.33/3.56 (b(elem!1, s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[819, 8535, 720])).
% 3.33/3.56 tff(8537,plain,
% 3.33/3.56 (~b(s(z), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[5523, 8536, 8318, 1740, 802, 458, 8532, 486])).
% 3.33/3.56 tff(8538,plain,
% 3.33/3.56 (r(s(z), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[106, 8537])).
% 3.33/3.56 tff(8539,plain,
% 3.33/3.56 (~b(s(z), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4302, 8309, 486, 1597, 1740])).
% 3.33/3.56 tff(8540,plain,
% 3.33/3.56 (r(s(z), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1985, 21, 8539, 8303])).
% 3.33/3.56 tff(8541,assumption,(r(s(s(s(s(z)))), s(elem!1))), introduced(assumption)).
% 3.33/3.56 tff(8542,plain,
% 3.33/3.56 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8543,plain,
% 3.33/3.56 (((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8544,plain,
% 3.33/3.56 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(s(s(s(z))))))))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8543])).
% 3.33/3.56 tff(8545,plain,
% 3.33/3.56 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.33/3.56 inference(transitivity,[status(thm)],[8544, 8542])).
% 3.33/3.56 tff(8546,plain,
% 3.33/3.56 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.33/3.56 inference(quant_inst,[status(thm)],[])).
% 3.33/3.56 tff(8547,plain,
% 3.33/3.56 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(s(s(s(z))))))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 3.33/3.56 tff(8548,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8547, 82, 1973, 72, 8541])).
% 3.33/3.56 tff(8549,plain,((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8550,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8549, 8540, 8538])).
% 3.33/3.56 tff(8551,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4912, 21, 8411, 8550])).
% 3.33/3.56 tff(8552,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8553,plain,
% 3.33/3.56 (((~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8554,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z))))))))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8553])).
% 3.33/3.56 tff(8555,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.33/3.56 inference(transitivity,[status(thm)],[8554, 8552])).
% 3.33/3.56 tff(8556,plain,
% 3.33/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 3.33/3.56 inference(quant_inst,[status(thm)],[])).
% 3.33/3.56 tff(8557,plain,
% 3.33/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z))))))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[8556, 8555])).
% 3.33/3.56 tff(8558,plain,
% 3.33/3.56 (~b(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8557, 338, 1597, 8309, 8532, 8551])).
% 3.33/3.56 tff(8559,plain,
% 3.33/3.56 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4043, 8538, 8528])).
% 3.33/3.56 tff(8560,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3668, 21, 8559, 8558, 8511])).
% 3.33/3.56 tff(8561,plain,((~r(s(z), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~r(elem!1, z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (elem!1 = s(z)) | (~(s(s(s(elem!1))) = elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8562,plain,
% 3.33/3.56 (~r(s(z), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8561, 8526, 1740, 802, 458, 8307, 697, 2143, 1353, 234, 1597, 165, 137, 3977, 177])).
% 3.33/3.56 tff(8563,plain,
% 3.33/3.56 (b(s(z), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[743, 8562])).
% 3.33/3.56 tff(8564,plain,
% 3.33/3.56 (~b(elem!1, s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[839, 8563, 745, 746, 8523])).
% 3.33/3.56 tff(8565,plain,
% 3.33/3.56 (r(elem!1, s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[819, 8564, 697])).
% 3.33/3.56 tff(8566,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4843, 82, 235, 8565, 8521])).
% 3.33/3.56 tff(8567,plain,((~r(elem!1, s(elem!1))) | (~b(s(z), z)) | (~r(elem!1, z)) | (~b(s(s(s(z))), s(z))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~b(z, s(elem!1))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | (s(z) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8568,plain,
% 3.33/3.56 (~r(elem!1, s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8567, 8519, 802, 1740, 2143, 1353, 234, 8305, 165, 137, 3977, 177, 691])).
% 3.33/3.56 tff(8569,plain,
% 3.33/3.56 (b(elem!1, s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[252, 8568, 232])).
% 3.33/3.56 tff(8570,plain,
% 3.33/3.56 (b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8325, 8569, 2143])).
% 3.33/3.56 tff(8571,plain,
% 3.33/3.56 (~r(s(z), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8363, 8570, 6386, 6387, 2143, 225, 2119, 8311, 165])).
% 3.33/3.56 tff(8572,plain,
% 3.33/3.56 (b(s(z), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[743, 8571])).
% 3.33/3.56 tff(8573,plain,
% 3.33/3.56 (b(s(s(elem!1)), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[327, 323, 197])).
% 3.33/3.56 tff(8574,plain,
% 3.33/3.56 (b(elem!1, s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[321, 317, 137])).
% 3.33/3.56 tff(8575,plain,
% 3.33/3.56 (b(s(elem!1), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[312, 7588, 294])).
% 3.33/3.56 tff(8576,plain,
% 3.33/3.56 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[346, 8575, 137, 317, 323, 315])).
% 3.33/3.56 tff(8577,plain,
% 3.33/3.56 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[277, 8576, 225])).
% 3.33/3.56 tff(8578,plain,
% 3.33/3.56 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8579,plain,
% 3.33/3.56 (((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8580,plain,
% 3.33/3.56 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8579])).
% 3.33/3.56 tff(8581,plain,
% 3.33/3.56 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.33/3.56 inference(transitivity,[status(thm)],[8580, 8578])).
% 3.33/3.56 tff(8582,plain,
% 3.33/3.56 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.33/3.56 inference(quant_inst,[status(thm)],[])).
% 3.33/3.56 tff(8583,plain,
% 3.33/3.56 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[8582, 8581])).
% 3.33/3.56 tff(8584,plain,
% 3.33/3.56 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8583, 82, 264, 8541])).
% 3.33/3.56 tff(8585,plain,
% 3.33/3.56 ((~(s(s(s(s(z)))) = s(s(elem!1)))) <=> (~(s(s(elem!1)) = s(s(s(s(z))))))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[4380])).
% 3.33/3.56 tff(8586,plain,
% 3.33/3.56 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[4798, 8585])).
% 3.33/3.56 tff(8587,plain,
% 3.33/3.56 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[366, 21, 8586, 8584])).
% 3.33/3.56 tff(8588,plain,
% 3.33/3.56 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8589,plain,
% 3.33/3.56 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.33/3.56 inference(quant_inst,[status(thm)],[])).
% 3.33/3.56 tff(8590,plain,
% 3.33/3.56 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(elem!1))))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[8589, 8588])).
% 3.33/3.56 tff(8591,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8590, 82, 264, 8541])).
% 3.33/3.56 tff(8592,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4805, 21, 8591, 4798])).
% 3.33/3.56 tff(8593,plain,
% 3.33/3.56 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8594,plain,
% 3.33/3.56 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.33/3.56 inference(quant_inst,[status(thm)],[])).
% 3.33/3.56 tff(8595,plain,
% 3.33/3.56 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 3.33/3.56 tff(8596,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8595, 82, 1973, 8541])).
% 3.33/3.56 tff(8597,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[119, 8596])).
% 3.33/3.56 tff(8598,plain,
% 3.33/3.56 (~b(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3204, 8597, 1740, 486, 651])).
% 3.33/3.56 tff(8599,plain,
% 3.33/3.56 (r(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[127, 8598])).
% 3.33/3.56 tff(8600,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3581, 82, 802, 8599])).
% 3.33/3.56 tff(8601,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1144, 8600, 1039])).
% 3.33/3.56 tff(8602,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8603,plain,
% 3.33/3.56 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8604,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8603])).
% 3.33/3.56 tff(8605,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.33/3.56 inference(transitivity,[status(thm)],[8604, 8602])).
% 3.33/3.56 tff(8606,plain,
% 3.33/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.33/3.56 inference(quant_inst,[status(thm)],[])).
% 3.33/3.56 tff(8607,plain,
% 3.33/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 3.33/3.56 tff(8608,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8607, 338, 763, 762, 8601, 8592, 8587])).
% 3.33/3.56 tff(8609,plain,((~r(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(s(s(s(z)))) = elem!1) | (~r(elem!1, z)) | (s(s(s(s(z)))) = s(s(elem!1))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8610,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8609, 8577, 8574, 1039, 802, 4798, 1740, 486, 651, 8573, 1973])).
% 3.33/3.56 tff(8611,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4914, 8610, 4864])).
% 3.33/3.56 tff(8612,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1144, 8413, 1039])).
% 3.33/3.56 tff(8613,plain,
% 3.33/3.56 (b(elem!1, s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1094, 8414, 2444])).
% 3.33/3.56 tff(8614,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8615,plain,
% 3.33/3.56 (((~b(s(s(s(s(z)))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.33/3.56 inference(rewrite,[status(thm)],[])).
% 3.33/3.56 tff(8616,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8615])).
% 3.33/3.56 tff(8617,plain,
% 3.33/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.33/3.56 inference(transitivity,[status(thm)],[8616, 8614])).
% 3.33/3.56 tff(8618,plain,
% 3.33/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 3.33/3.56 inference(quant_inst,[status(thm)],[])).
% 3.33/3.56 tff(8619,plain,
% 3.33/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[8618, 8617])).
% 3.33/3.56 tff(8620,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8619, 338, 315, 314, 8613, 8612, 3663])).
% 3.33/3.56 tff(8621,plain,((~r(s(s(s(s(z)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (elem!1 = s(s(s(s(z))))) | (s(s(s(s(z)))) = elem!1) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8622,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8621, 8575, 315, 8611, 2444, 1039, 802])).
% 3.33/3.56 tff(8623,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[127, 8622])).
% 3.33/3.56 tff(8624,plain,
% 3.33/3.56 (~b(s(s(s(s(z)))), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3204, 8623, 1740, 486, 651])).
% 3.33/3.56 tff(8625,plain,
% 3.33/3.56 (r(s(s(s(s(z)))), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[119, 8624])).
% 3.33/3.56 tff(8626,plain,
% 3.33/3.56 (~r(elem!1, s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3480, 82, 8625, 803])).
% 3.33/3.56 tff(8627,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1178, 8625, 803])).
% 3.33/3.56 tff(8628,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1144, 8627, 1039])).
% 3.33/3.56 tff(8629,plain,
% 3.33/3.56 (~b(elem!1, s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8619, 338, 315, 8575, 8628, 8611])).
% 3.33/3.56 tff(8630,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1094, 8629, 8626, 2444])).
% 3.33/3.56 tff(8631,plain,((~r(elem!1, s(z))) | (elem!1 = s(s(s(s(z))))) | (~b(elem!1, s(elem!1))) | (s(s(s(s(z)))) = elem!1) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(elem!1, z)) | (s(s(s(s(z)))) = s(elem!1)) | (s(s(s(s(z)))) = s(s(elem!1))) | (~r(s(z), s(elem!1))) | (elem!1 = s(s(elem!1))) | r(elem!1, s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~r(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8632,plain,
% 3.33/3.56 (~r(elem!1, s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8631, 8569, 3388, 3188, 1740, 8307, 651, 802, 8411, 8313, 8311, 137, 288, 263, 8315])).
% 3.33/3.56 tff(8633,plain,
% 3.33/3.56 (b(elem!1, s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[819, 8632, 697])).
% 3.33/3.56 tff(8634,plain,
% 3.33/3.56 (~b(s(z), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[839, 8633, 745, 746, 8572])).
% 3.33/3.56 tff(8635,plain,
% 3.33/3.56 (r(s(z), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[701, 8634, 691])).
% 3.33/3.56 tff(8636,plain,
% 3.33/3.56 (r(s(z), s(s(s(elem!1))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3045, 8635, 2143])).
% 3.33/3.56 tff(8637,plain,
% 3.33/3.56 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3055, 8636, 8315])).
% 3.33/3.56 tff(8638,plain,
% 3.33/3.56 (b(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1515, 8637, 210])).
% 3.33/3.56 tff(8639,plain,
% 3.33/3.56 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[7170, 8638, 6387, 6386, 8570])).
% 3.33/3.56 tff(8640,plain,
% 3.33/3.56 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[277, 8639, 225])).
% 3.33/3.56 tff(8641,plain,
% 3.33/3.56 (~b(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[5523, 8633, 8318, 1740, 802, 8519, 651, 8307])).
% 3.33/3.56 tff(8642,plain,
% 3.33/3.56 (r(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[127, 8641])).
% 3.33/3.56 tff(8643,plain,
% 3.33/3.56 (b(s(elem!1), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[2676, 8638, 2143])).
% 3.33/3.56 tff(8644,plain,
% 3.33/3.56 (~b(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8621, 8643, 8569, 8642, 3388, 3188, 802])).
% 3.33/3.56 tff(8645,plain,
% 3.33/3.56 (r(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4914, 8644, 8411])).
% 3.33/3.56 tff(8646,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8609, 8645, 8640, 746, 3188, 802, 8313, 1740, 8307, 651, 745, 8311])).
% 3.33/3.56 tff(8647,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(elem!1, z)) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = elem!1)) | (s(z) = elem!1) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | b(elem!1, z) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8648,plain,
% 3.33/3.56 (~b(s(z), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8647, 8230, 1740, 6387, 7061, 8225, 691, 137, 165, 7031, 8223, 8298, 8295])).
% 3.33/3.56 tff(8649,plain,
% 3.33/3.56 (r(s(z), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[106, 8648])).
% 3.33/3.56 tff(8650,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8549, 8649, 8294])).
% 3.33/3.56 tff(8651,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4914, 8650, 8242])).
% 3.33/3.56 tff(8652,plain,
% 3.33/3.56 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8225])).
% 3.33/3.56 tff(8653,plain,
% 3.33/3.56 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8652])).
% 3.33/3.56 tff(8654,plain,
% 3.33/3.56 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8653])).
% 3.33/3.56 tff(8655,plain,
% 3.33/3.56 (s(s(s(s(s(s(elem!1)))))) = elem!1),
% 3.33/3.56 inference(transitivity,[status(thm)],[8654, 8225])).
% 3.33/3.56 tff(8656,plain,
% 3.33/3.56 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8655])).
% 3.33/3.56 tff(8657,plain,
% 3.33/3.56 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.33/3.56 inference(transitivity,[status(thm)],[8656, 1058])).
% 3.33/3.56 tff(8658,plain,
% 3.33/3.56 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8657])).
% 3.33/3.56 tff(8659,plain,
% 3.33/3.56 (~(s(s(s(s(z)))) = elem!1)),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[3187, 8658])).
% 3.33/3.56 tff(8660,plain,
% 3.33/3.56 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 3.33/3.56 inference(monotonicity,[status(thm)],[8656])).
% 3.33/3.56 tff(8661,plain,
% 3.33/3.56 (~(elem!1 = s(s(s(s(z)))))),
% 3.33/3.56 inference(modus_ponens,[status(thm)],[3187, 8660])).
% 3.33/3.56 tff(8662,plain,
% 3.33/3.56 (~(s(elem!1) = s(s(s(z))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3655, 8225])).
% 3.33/3.56 tff(8663,plain,
% 3.33/3.56 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8246, 4864])).
% 3.33/3.56 tff(8664,plain,
% 3.33/3.56 (~b(s(elem!1), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4621, 1796, 486, 1740, 1597])).
% 3.33/3.56 tff(8665,plain,
% 3.33/3.56 (r(s(elem!1), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[2070, 8664, 1917])).
% 3.33/3.56 tff(8666,plain,
% 3.33/3.56 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4043, 8665, 72])).
% 3.33/3.56 tff(8667,plain,
% 3.33/3.56 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[2959, 72, 427])).
% 3.33/3.56 tff(8668,plain,
% 3.33/3.56 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[689, 8667])).
% 3.33/3.56 tff(8669,plain,
% 3.33/3.56 (~b(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3702, 8665, 427, 3662, 8668, 8666, 8663])).
% 3.33/3.56 tff(8670,plain,
% 3.33/3.56 (r(s(s(s(s(z)))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4912, 21, 8669, 4864])).
% 3.33/3.56 tff(8671,plain,
% 3.33/3.56 (~b(s(z), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4302, 1796, 486, 1597, 1740])).
% 3.33/3.56 tff(8672,plain,
% 3.33/3.56 (r(s(z), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1985, 21, 8671, 3058])).
% 3.33/3.56 tff(8673,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8547, 82, 8672, 72, 8670])).
% 3.33/3.56 tff(8674,plain,((~b(s(elem!1), z)) | (~r(s(z), s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(elem!1)) | (~r(s(s(s(z))), s(z))) | (s(elem!1) = s(s(s(z)))) | (s(elem!1) = s(z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8675,plain,
% 3.33/3.56 (~r(s(s(s(z))), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8674, 8649, 8242, 8292, 8662, 8234, 8277, 1740, 8253])).
% 3.33/3.56 tff(8676,plain,
% 3.33/3.56 (b(s(s(s(z))), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[437, 8675])).
% 3.33/3.56 tff(8677,plain,
% 3.33/3.56 (~r(elem!1, s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8567, 8676, 8230, 1740, 8225, 7031, 8223, 8253, 165, 137, 8298, 8295, 691])).
% 3.33/3.56 tff(8678,plain,
% 3.33/3.56 (b(elem!1, s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[252, 8677, 232])).
% 3.33/3.56 tff(8679,plain,
% 3.33/3.56 (b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8325, 8678, 8225])).
% 3.33/3.56 tff(8680,plain,
% 3.33/3.56 (~r(s(z), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8363, 8679, 7061, 6387, 8225, 225, 2119, 8294, 165])).
% 3.33/3.56 tff(8681,plain,
% 3.33/3.56 (b(s(z), s(s(elem!1)))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[743, 8680])).
% 3.33/3.56 tff(8682,plain,
% 3.33/3.56 (~b(s(elem!1), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[4621, 8292, 8277, 1740, 8253])).
% 3.33/3.56 tff(8683,plain,
% 3.33/3.56 (r(s(elem!1), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[2070, 8682, 8234])).
% 3.33/3.56 tff(8684,plain,
% 3.33/3.56 (r(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[1515, 6560, 215])).
% 3.33/3.56 tff(8685,plain,
% 3.33/3.56 (~r(s(z), s(s(s(elem!1))))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3055, 8684, 3047])).
% 3.33/3.56 tff(8686,plain,
% 3.33/3.56 (~r(s(z), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[3045, 8685, 2143])).
% 3.33/3.56 tff(8687,plain,
% 3.33/3.56 (b(s(z), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[701, 8686, 691])).
% 3.33/3.56 tff(8688,plain,
% 3.33/3.56 (~b(elem!1, s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[839, 8687, 763, 762, 747])).
% 3.33/3.56 tff(8689,plain,
% 3.33/3.56 (r(elem!1, s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[819, 8688, 697])).
% 3.33/3.56 tff(8690,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[7587, 82, 6561, 8689, 3047])).
% 3.33/3.56 tff(8691,plain,(b(s(elem!1), elem!1) | (~r(s(elem!1), s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (~(s(s(s(elem!1))) = elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.56 tff(8692,plain,
% 3.33/3.56 (b(s(elem!1), elem!1)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8691, 8683, 8255, 8257, 8681, 691, 8225, 210, 294])).
% 3.33/3.56 tff(8693,plain,
% 3.33/3.56 (~r(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8621, 8692, 8651, 8678, 8661, 8659, 8230])).
% 3.33/3.56 tff(8694,plain,
% 3.33/3.56 (b(s(s(s(s(z)))), z)),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[127, 8693])).
% 3.33/3.56 tff(8695,plain,
% 3.33/3.56 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[346, 8692, 137, 8256, 8254, 8678])).
% 3.33/3.56 tff(8696,plain,
% 3.33/3.56 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[277, 8695, 225])).
% 3.33/3.56 tff(8697,plain,
% 3.33/3.56 (~r(s(s(elem!1)), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[8374, 82, 8696, 8294])).
% 3.33/3.56 tff(8698,plain,
% 3.33/3.56 (b(s(s(elem!1)), s(z))),
% 3.33/3.56 inference(unit_resolution,[status(thm)],[782, 21, 8697, 777])).
% 3.33/3.57 tff(8699,plain,
% 3.33/3.57 (~b(s(z), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[772, 8698, 8255, 8257, 8681])).
% 3.33/3.57 tff(8700,plain,
% 3.33/3.57 (r(s(z), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[701, 8699, 691])).
% 3.33/3.57 tff(8701,plain,
% 3.33/3.57 (~r(s(s(s(s(z)))), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[2949, 8700, 8649])).
% 3.33/3.57 tff(8702,plain,
% 3.33/3.57 (b(s(s(s(s(z)))), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1144, 8701, 8659])).
% 3.33/3.57 tff(8703,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8704,plain,
% 3.33/3.57 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8705,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8704])).
% 3.33/3.57 tff(8706,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.33/3.57 inference(transitivity,[status(thm)],[8705, 8703])).
% 3.33/3.57 tff(8707,plain,
% 3.33/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 3.33/3.57 inference(quant_inst,[status(thm)],[])).
% 3.33/3.57 tff(8708,plain,
% 3.33/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.33/3.57 inference(modus_ponens,[status(thm)],[8707, 8706])).
% 3.33/3.57 tff(8709,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8708, 338, 1597, 314, 1130, 175, 3663, 3681])).
% 3.33/3.57 tff(8710,plain,((~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8711,plain,
% 3.33/3.57 (~b(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8710, 8253, 8692, 8702, 8694, 8651])).
% 3.33/3.57 tff(8712,plain,
% 3.33/3.57 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[4043, 8649, 8683])).
% 3.33/3.57 tff(8713,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[3668, 21, 8712, 8711, 8247])).
% 3.33/3.57 tff(8714,plain,((~r(z, s(s(elem!1)))) | (s(z) = elem!1) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | b(s(s(s(elem!1))), z) | b(z, s(s(s(elem!1)))) | b(s(s(s(elem!1))), elem!1) | r(s(s(elem!1)), s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8715,plain,
% 3.33/3.57 (~r(z, s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8714, 7053, 137, 7059, 1740, 1382, 2138, 691, 2613, 1940])).
% 3.33/3.57 tff(8716,plain,
% 3.33/3.57 (b(z, s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[161, 8715])).
% 3.33/3.57 tff(8717,plain,
% 3.33/3.57 (~(elem!1 = s(s(s(elem!1))))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[3385, 864, 7062])).
% 3.33/3.57 tff(8718,plain,
% 3.33/3.57 (~(s(s(s(elem!1))) = elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[3379, 8717])).
% 3.33/3.57 tff(8719,plain,
% 3.33/3.57 (r(s(s(s(elem!1))), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[2162, 8718, 7053])).
% 3.33/3.57 tff(8720,plain,
% 3.33/3.57 (~r(z, elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[6359, 8719, 1353])).
% 3.33/3.57 tff(8721,plain,
% 3.33/3.57 (r(elem!1, s(s(s(elem!1))))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1946, 8717, 1940])).
% 3.33/3.57 tff(8722,assumption,(b(z, s(s(elem!1)))), introduced(assumption)).
% 3.33/3.57 tff(8723,plain,
% 3.33/3.57 (~r(z, elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[6359, 1269, 1353])).
% 3.33/3.57 tff(8724,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8725,plain,
% 3.33/3.57 (((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1))))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8726,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8725])).
% 3.33/3.57 tff(8727,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 3.33/3.57 inference(transitivity,[status(thm)],[8726, 8724])).
% 3.33/3.57 tff(8728,plain,
% 3.33/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))),
% 3.33/3.57 inference(quant_inst,[status(thm)],[])).
% 3.33/3.57 tff(8729,plain,
% 3.33/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))),
% 3.33/3.57 inference(modus_ponens,[status(thm)],[8728, 8727])).
% 3.33/3.57 tff(8730,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8729, 338, 1021, 1131, 763, 762, 8722])).
% 3.33/3.57 tff(8731,plain,((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8732,plain,
% 3.33/3.57 (~b(elem!1, s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8731, 4712, 8722, 763, 4710])).
% 3.33/3.57 tff(8733,plain,
% 3.33/3.57 (r(elem!1, s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[321, 8732, 137])).
% 3.33/3.57 tff(8734,plain,
% 3.33/3.57 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8735,plain,
% 3.33/3.57 (((~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), elem!1))) <=> ((~r(s(z), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8736,plain,
% 3.33/3.57 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1))))))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8735])).
% 3.33/3.57 tff(8737,plain,
% 3.33/3.57 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))))),
% 3.33/3.57 inference(transitivity,[status(thm)],[8736, 8734])).
% 3.33/3.57 tff(8738,plain,
% 3.33/3.57 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), elem!1)))),
% 3.33/3.57 inference(quant_inst,[status(thm)],[])).
% 3.33/3.57 tff(8739,plain,
% 3.33/3.57 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1))))),
% 3.33/3.57 inference(modus_ponens,[status(thm)],[8738, 8737])).
% 3.33/3.57 tff(8740,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8739, 82, 279, 754, 721])).
% 3.33/3.57 tff(8741,plain,((~r(elem!1, s(s(elem!1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8742,plain,
% 3.33/3.57 (~r(s(z), s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8741, 754, 279])).
% 3.33/3.57 tff(8743,plain,
% 3.33/3.57 (b(s(z), s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[743, 8742])).
% 3.33/3.57 tff(8744,plain,
% 3.33/3.57 (~r(s(z), s(s(s(elem!1))))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1862, 1269, 754])).
% 3.33/3.57 tff(8745,plain,
% 3.33/3.57 (b(s(z), s(s(s(elem!1))))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1870, 8744])).
% 3.33/3.57 tff(8746,plain,
% 3.33/3.57 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[7259, 8745, 747, 6386, 5431])).
% 3.33/3.57 tff(8747,plain,
% 3.33/3.57 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1292, 8746, 1327])).
% 3.33/3.57 tff(8748,plain,
% 3.33/3.57 (~r(elem!1, s(s(elem!1)))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1408, 8747, 1269])).
% 3.33/3.57 tff(8749,plain,
% 3.33/3.57 (r(s(s(s(elem!1))), z)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1385, 21, 1367, 1382])).
% 3.33/3.57 tff(8750,plain,
% 3.33/3.57 (~r(z, elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[2157, 8749, 1269])).
% 3.33/3.57 tff(8751,plain,
% 3.33/3.57 (b(z, elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[353, 8750, 4711])).
% 3.33/3.57 tff(8752,plain,
% 3.33/3.57 (~b(elem!1, z)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8731, 8751, 8722, 322, 328])).
% 3.33/3.57 tff(8753,plain,
% 3.33/3.57 (r(elem!1, z)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[846, 8752, 719])).
% 3.33/3.57 tff(8754,plain,
% 3.33/3.57 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(s(s(s(elem!1))), elem!1)))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8755,plain,
% 3.33/3.57 (((~r(elem!1, z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), elem!1))) <=> ((~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(s(s(s(elem!1))), elem!1)))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8756,plain,
% 3.33/3.57 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(s(s(s(elem!1))), elem!1))))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8755])).
% 3.33/3.57 tff(8757,plain,
% 3.33/3.57 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(s(s(s(elem!1))), elem!1)))),
% 3.33/3.57 inference(transitivity,[status(thm)],[8756, 8754])).
% 3.33/3.57 tff(8758,plain,
% 3.33/3.57 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), elem!1)))),
% 3.33/3.57 inference(quant_inst,[status(thm)],[])).
% 3.33/3.57 tff(8759,plain,
% 3.33/3.57 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(s(s(s(elem!1))), elem!1))),
% 3.33/3.57 inference(modus_ponens,[status(thm)],[8758, 8757])).
% 3.33/3.57 tff(8760,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8759, 82, 8753, 8749, 1269])).
% 3.33/3.57 tff(8761,plain,((elem!1 = s(s(elem!1))) | (~r(s(s(s(elem!1))), elem!1)) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | b(s(s(s(elem!1))), z) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8762,plain,
% 3.33/3.57 (r(s(s(elem!1)), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8761, 1269, 8722, 719, 1382, 137, 317])).
% 3.33/3.57 tff(8763,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1299, 8762, 1269, 1294])).
% 3.33/3.57 tff(8764,plain,((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | b(s(s(s(elem!1))), z) | (elem!1 = s(s(elem!1))) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8765,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8764, 8748, 8747, 1382, 8722, 719, 1269, 137])).
% 3.33/3.57 tff(8766,plain,((~r(s(s(s(elem!1))), elem!1)) | b(s(s(s(elem!1))), z) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | (elem!1 = s(s(elem!1))) | (s(s(s(elem!1))) = s(s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8767,plain,
% 3.33/3.57 (~b(s(s(s(elem!1))), s(z))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8766, 8743, 1382, 137, 8722, 2180, 1269, 6386, 719, 754])).
% 3.33/3.57 tff(8768,plain,
% 3.33/3.57 (r(s(s(s(elem!1))), s(z))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1990, 8767])).
% 3.33/3.57 tff(8769,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[1849, 82, 1269, 754, 8768])).
% 3.33/3.57 tff(8770,plain,((~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | b(s(s(s(elem!1))), z) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (elem!1 = z) | (~r(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8771,plain,
% 3.33/3.57 (~r(s(z), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8770, 8733, 1382, 137, 8722, 6386, 1269, 719])).
% 3.33/3.57 tff(8772,plain,
% 3.33/3.57 (b(s(z), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[701, 8771, 691])).
% 3.33/3.57 tff(8773,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8774,plain,
% 3.33/3.57 (((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8775,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), z)) | (~b(s(z), elem!1))))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8774])).
% 3.33/3.57 tff(8776,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.33/3.57 inference(transitivity,[status(thm)],[8775, 8773])).
% 3.33/3.57 tff(8777,plain,
% 3.33/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 3.33/3.57 inference(quant_inst,[status(thm)],[])).
% 3.33/3.57 tff(8778,plain,
% 3.33/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), z)) | (~b(s(z), elem!1))),
% 3.33/3.57 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 3.33/3.57 tff(8779,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8778, 338, 4712, 4710, 763, 8722, 8772, 1740])).
% 3.33/3.57 tff(8780,plain,((elem!1 = z) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (s(z) = elem!1) | b(s(s(s(elem!1))), z) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)) | r(z, elem!1) | r(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8781,plain,
% 3.33/3.57 (elem!1 = z),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8780, 763, 8722, 1740, 691, 1382, 137, 6386, 1269, 8723, 864])).
% 3.33/3.57 tff(8782,plain,
% 3.33/3.57 (s(elem!1) = s(z)),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8781])).
% 3.33/3.57 tff(8783,plain,
% 3.33/3.57 (r(z, s(elem!1)) <=> r(z, s(z))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8782])).
% 3.33/3.57 tff(8784,plain,
% 3.33/3.57 (r(z, s(z)) <=> r(z, s(elem!1))),
% 3.33/3.57 inference(symmetry,[status(thm)],[8783])).
% 3.33/3.57 tff(8785,plain,
% 3.33/3.57 (r(z, s(elem!1))),
% 3.33/3.57 inference(modus_ponens,[status(thm)],[1731, 8784])).
% 3.33/3.57 tff(8786,plain,
% 3.33/3.57 (r(elem!1, s(elem!1)) <=> r(z, s(elem!1))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8781])).
% 3.33/3.57 tff(8787,plain,
% 3.33/3.57 ((~r(elem!1, s(elem!1))) <=> (~r(z, s(elem!1)))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8786])).
% 3.33/3.57 tff(8788,plain,
% 3.33/3.57 (~r(s(s(elem!1)), s(elem!1))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[7117, 235, 254])).
% 3.33/3.57 tff(8789,plain,
% 3.33/3.57 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[7079, 235, 6386, 1950, 215, 6387])).
% 3.33/3.57 tff(8790,plain,
% 3.33/3.57 ($false),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[277, 8789, 8788, 7154])).
% 3.33/3.57 tff(8791,plain,((~r(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.57 tff(8792,plain,
% 3.33/3.57 (~r(s(s(elem!1)), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8791, 235, 1950, 210, 6387, 6386])).
% 3.33/3.57 tff(8793,plain,
% 3.33/3.57 (elem!1 = z),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[8761, 7108, 1382, 8722, 137, 1269, 8792])).
% 3.33/3.57 tff(8794,plain,
% 3.33/3.57 (s(elem!1) = s(z)),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8793])).
% 3.33/3.57 tff(8795,plain,
% 3.33/3.57 (s(s(elem!1)) = s(s(z))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8794])).
% 3.33/3.57 tff(8796,plain,
% 3.33/3.57 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8795])).
% 3.33/3.57 tff(8797,plain,
% 3.33/3.57 (r(z, s(s(s(elem!1)))) <=> r(z, s(s(s(z))))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8796])).
% 3.33/3.57 tff(8798,plain,
% 3.33/3.57 (r(z, s(s(s(z))))),
% 3.33/3.57 inference(modus_ponens,[status(thm)],[1353, 8797])).
% 3.33/3.57 tff(8799,plain,
% 3.33/3.57 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8796])).
% 3.33/3.57 tff(8800,plain,
% 3.33/3.57 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[8799])).
% 3.33/3.57 tff(8801,plain,
% 3.33/3.57 (z = elem!1),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[716, 8793])).
% 3.33/3.57 tff(8802,plain,
% 3.33/3.57 (b(s(s(elem!1)), z)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[906, 8801, 763])).
% 3.33/3.57 tff(8803,plain,
% 3.33/3.57 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[2996])).
% 3.33/3.57 tff(8804,plain,
% 3.33/3.57 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.33/3.57 inference(symmetry,[status(thm)],[8803])).
% 3.33/3.57 tff(8805,plain,
% 3.33/3.57 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 3.33/3.57 inference(monotonicity,[status(thm)],[2998, 2996])).
% 3.33/3.57 tff(8806,plain,
% 3.33/3.57 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.33/3.57 inference(transitivity,[status(thm)],[8805, 8804])).
% 3.33/3.57 tff(8807,plain,
% 3.33/3.57 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.33/3.57 inference(modus_ponens,[status(thm)],[2301, 8806])).
% 3.33/3.57 tff(8808,plain,
% 3.33/3.57 (z = elem!1),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[716, 712])).
% 3.33/3.57 tff(8809,plain,
% 3.33/3.57 (~r(z, s(s(s(s(z)))))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[7362, 2301, 6387, 6386, 8808, 164])).
% 3.33/3.57 tff(8810,plain,
% 3.33/3.57 (b(z, s(s(s(s(z)))))),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[391, 8809])).
% 3.33/3.57 tff(8811,plain,
% 3.33/3.57 (~r(s(s(s(s(elem!1)))), elem!1)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[7390, 2301, 6387, 1269, 8808, 1475, 6386])).
% 3.33/3.57 tff(8812,plain,
% 3.33/3.57 (~r(s(s(s(s(z)))), z)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[7372, 8811, 8808])).
% 3.33/3.57 tff(8813,plain,
% 3.33/3.57 (b(s(s(s(s(z)))), z)),
% 3.33/3.57 inference(unit_resolution,[status(thm)],[127, 8812])).
% 3.33/3.57 tff(8814,plain,
% 3.33/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.33/3.57 inference(rewrite,[status(thm)],[])).
% 3.33/3.57 tff(8815,plain,
% 3.33/3.57 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8816,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8815])).
% 3.33/3.58 tff(8817,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.33/3.58 inference(transitivity,[status(thm)],[8816, 8814])).
% 3.33/3.58 tff(8818,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.33/3.58 inference(quant_inst,[status(thm)],[])).
% 3.33/3.58 tff(8819,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8818, 8817])).
% 3.33/3.58 tff(8820,plain,
% 3.33/3.58 ($false),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8819, 338, 8722, 878, 175, 555, 3484])).
% 3.33/3.58 tff(8821,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.58 tff(8822,plain,
% 3.33/3.58 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8821, 8813, 8722, 878, 8810])).
% 3.33/3.58 tff(8823,plain,
% 3.33/3.58 ($false),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8822, 8807])).
% 3.33/3.58 tff(8824,plain,((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~(elem!1 = z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(elem!1))), elem!1)) | (s(s(s(s(elem!1)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.58 tff(8825,plain,
% 3.33/3.58 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8824, 8793, 8722, 8802, 6387, 6386, 8798, 1269, 2181])).
% 3.33/3.58 tff(8826,plain,
% 3.33/3.58 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1651, 8825, 2119])).
% 3.33/3.58 tff(8827,plain,
% 3.33/3.58 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8101, 8826, 7081])).
% 3.33/3.58 tff(8828,plain,
% 3.33/3.58 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[7416, 8827, 8801])).
% 3.33/3.58 tff(8829,plain,
% 3.33/3.58 (b(s(s(s(s(elem!1)))), s(z))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1585, 8828])).
% 3.33/3.58 tff(8830,plain,
% 3.33/3.58 (b(s(s(s(s(z)))), s(z))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8829, 8800])).
% 3.33/3.58 tff(8831,plain,
% 3.33/3.58 (b(s(z), s(s(s(elem!1)))) <=> b(s(z), s(s(s(z))))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8796])).
% 3.33/3.58 tff(8832,plain,
% 3.33/3.58 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(z), s(s(s(elem!1))))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8794])).
% 3.33/3.58 tff(8833,plain,
% 3.33/3.58 (b(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1515, 7066, 210])).
% 3.33/3.58 tff(8834,plain,
% 3.33/3.58 (b(s(z), s(s(s(elem!1))))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 3.33/3.58 tff(8835,plain,
% 3.33/3.58 (b(s(z), s(s(s(z))))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8834, 8831])).
% 3.33/3.58 tff(8836,plain,
% 3.33/3.58 (b(s(s(s(elem!1))), s(z)) <=> b(s(s(s(z))), s(z))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8796])).
% 3.33/3.58 tff(8837,plain,
% 3.33/3.58 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(z))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8794])).
% 3.33/3.58 tff(8838,plain,
% 3.33/3.58 (b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1971, 7070, 218])).
% 3.33/3.58 tff(8839,plain,
% 3.33/3.58 (b(s(s(s(elem!1))), s(z))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8838, 8837])).
% 3.33/3.58 tff(8840,plain,
% 3.33/3.58 (b(s(s(s(z))), s(z))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8839, 8836])).
% 3.33/3.58 tff(8841,plain,
% 3.33/3.58 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8799, 8795])).
% 3.33/3.58 tff(8842,plain,
% 3.33/3.58 (r(s(s(s(s(z)))), s(s(z)))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8826, 8841])).
% 3.33/3.58 tff(8843,plain,
% 3.33/3.58 (s(s(z)) = s(s(elem!1))),
% 3.33/3.58 inference(symmetry,[status(thm)],[8795])).
% 3.33/3.58 tff(8844,plain,
% 3.33/3.58 (r(s(z), s(s(z))) <=> r(s(z), s(s(elem!1)))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8843])).
% 3.33/3.58 tff(8845,plain,
% 3.33/3.58 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 3.33/3.58 inference(symmetry,[status(thm)],[8844])).
% 3.33/3.58 tff(8846,plain,
% 3.33/3.58 (~b(s(z), s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[7259, 8839, 6387, 6386, 8834])).
% 3.33/3.58 tff(8847,plain,
% 3.33/3.58 (r(s(z), s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[743, 8846])).
% 3.33/3.58 tff(8848,plain,
% 3.33/3.58 (r(s(z), s(s(z)))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8847, 8845])).
% 3.33/3.58 tff(8849,plain,
% 3.33/3.58 (~r(s(z), s(s(s(s(z)))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[88, 82, 8848, 8842])).
% 3.33/3.58 tff(8850,plain,
% 3.33/3.58 (b(s(z), s(s(s(s(z)))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[106, 8849])).
% 3.33/3.58 tff(8851,plain,
% 3.33/3.58 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[5079, 8850, 8840, 8835, 8830])).
% 3.33/3.58 tff(8852,plain,
% 3.33/3.58 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1011, 8851])).
% 3.33/3.58 tff(8853,plain,
% 3.33/3.58 (~r(z, s(s(s(s(z)))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1119, 8852, 8798])).
% 3.33/3.58 tff(8854,plain,
% 3.33/3.58 (b(z, s(s(s(s(z)))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[391, 8853])).
% 3.33/3.58 tff(8855,plain,
% 3.33/3.58 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.33/3.58 inference(symmetry,[status(thm)],[7378])).
% 3.33/3.58 tff(8856,plain,
% 3.33/3.58 ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1551, 82, 1269])).
% 3.33/3.58 tff(8857,plain,
% 3.33/3.58 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8856, 5281])).
% 3.33/3.58 tff(8858,plain,
% 3.33/3.58 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[5747, 8857, 703])).
% 3.33/3.58 tff(8859,plain,
% 3.33/3.58 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1011, 8858])).
% 3.33/3.58 tff(8860,plain,
% 3.33/3.58 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[5782, 8859, 458, 2911, 651])).
% 3.33/3.58 tff(8861,plain,
% 3.33/3.58 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[689, 8860])).
% 3.33/3.58 tff(8862,plain,
% 3.33/3.58 (r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8861, 8855])).
% 3.33/3.58 tff(8863,plain,
% 3.33/3.58 ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[7385, 82, 1269])).
% 3.33/3.58 tff(8864,plain,
% 3.33/3.58 (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8863, 5281])).
% 3.33/3.58 tff(8865,plain,
% 3.33/3.58 ($false),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8864, 8862])).
% 3.33/3.58 tff(8866,plain,((~r(s(s(s(s(elem!1)))), elem!1)) | (~(z = elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.58 tff(8867,plain,
% 3.33/3.58 (~r(s(s(s(s(elem!1)))), elem!1)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8866, 8850, 1269, 8840, 8830, 8801])).
% 3.33/3.58 tff(8868,plain,
% 3.33/3.58 (~r(s(s(s(s(z)))), z)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[7372, 8867, 8801])).
% 3.33/3.58 tff(8869,plain,
% 3.33/3.58 (b(s(s(s(s(z)))), z)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[127, 8868])).
% 3.33/3.58 tff(8870,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8871,plain,
% 3.33/3.58 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8872,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8871])).
% 3.33/3.58 tff(8873,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.33/3.58 inference(transitivity,[status(thm)],[8872, 8870])).
% 3.33/3.58 tff(8874,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.33/3.58 inference(quant_inst,[status(thm)],[])).
% 3.33/3.58 tff(8875,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8874, 8873])).
% 3.33/3.58 tff(8876,plain,
% 3.33/3.58 ($false),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8875, 338, 1740, 8850, 8830, 8869, 8854])).
% 3.33/3.58 tff(8877,plain,((~r(elem!1, s(elem!1))) | (~b(s(z), z)) | (~r(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | b(s(s(s(elem!1))), z) | (elem!1 = s(s(elem!1))) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.58 tff(8878,plain,
% 3.33/3.58 (~r(elem!1, s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8877, 763, 1269, 8722, 6387, 6386, 1353, 1740, 1382, 137, 1950])).
% 3.33/3.58 tff(8879,plain,
% 3.33/3.58 (~r(z, s(elem!1))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8878, 8787])).
% 3.33/3.58 tff(8880,plain,
% 3.33/3.58 ($false),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8879, 8785])).
% 3.33/3.58 tff(8881,plain,((~b(s(s(elem!1)), elem!1)) | (~r(z, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (s(z) = elem!1) | b(s(s(s(elem!1))), z) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)) | r(elem!1, z) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.58 tff(8882,plain,
% 3.33/3.58 (~b(s(s(elem!1)), elem!1)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8881, 1731, 8722, 1740, 691, 1382, 137, 6386, 8719, 864, 6387, 1353, 1950])).
% 3.33/3.58 tff(8883,plain,
% 3.33/3.58 (r(s(elem!1), elem!1)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[312, 305, 294])).
% 3.33/3.58 tff(8884,plain,
% 3.33/3.58 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[2028, 8883, 1950])).
% 3.33/3.58 tff(8885,plain,
% 3.33/3.58 (b(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1515, 8884, 210])).
% 3.33/3.58 tff(8886,plain,
% 3.33/3.58 (r(s(s(elem!1)), elem!1)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[327, 3306, 197])).
% 3.33/3.58 tff(8887,plain,
% 3.33/3.58 (~r(elem!1, s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8791, 8886, 1950, 210, 6387, 6386])).
% 3.33/3.58 tff(8888,plain,
% 3.33/3.58 (b(elem!1, s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[252, 8887, 232])).
% 3.33/3.58 tff(8889,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8890,plain,
% 3.33/3.58 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8891,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8890])).
% 3.33/3.58 tff(8892,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(transitivity,[status(thm)],[8891, 8889])).
% 3.33/3.58 tff(8893,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(quant_inst,[status(thm)],[])).
% 3.33/3.58 tff(8894,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 3.33/3.58 tff(8895,plain,
% 3.33/3.58 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8894, 338, 6387, 1564, 6386, 1620])).
% 3.33/3.58 tff(8896,plain,
% 3.33/3.58 (r(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1971, 8895, 222])).
% 3.33/3.58 tff(8897,plain,
% 3.33/3.58 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8898,plain,
% 3.33/3.58 (((~r(z, s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), z))) <=> ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8899,plain,
% 3.33/3.58 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1)))))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8898])).
% 3.33/3.58 tff(8900,plain,
% 3.33/3.58 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))))),
% 3.33/3.58 inference(transitivity,[status(thm)],[8899, 8897])).
% 3.33/3.58 tff(8901,plain,
% 3.33/3.58 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), z)))),
% 3.33/3.58 inference(quant_inst,[status(thm)],[])).
% 3.33/3.58 tff(8902,plain,
% 3.33/3.58 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1)))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8901, 8900])).
% 3.33/3.58 tff(8903,plain,
% 3.33/3.58 ($false),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8902, 82, 2043, 233, 1301])).
% 3.33/3.58 tff(8904,plain,((~r(s(s(s(elem!1))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.58 tff(8905,plain,
% 3.33/3.58 (~r(z, s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8904, 8896, 1301])).
% 3.33/3.58 tff(8906,plain,
% 3.33/3.58 (b(z, s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[1615, 8905])).
% 3.33/3.58 tff(8907,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8908,plain,
% 3.33/3.58 (((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8909,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8908])).
% 3.33/3.58 tff(8910,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(transitivity,[status(thm)],[8909, 8907])).
% 3.33/3.58 tff(8911,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))),
% 3.33/3.58 inference(quant_inst,[status(thm)],[])).
% 3.33/3.58 tff(8912,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 3.33/3.58 tff(8913,plain,
% 3.33/3.58 (~b(elem!1, z)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8912, 338, 8906, 1564, 315, 6386, 1620])).
% 3.33/3.58 tff(8914,plain,
% 3.33/3.58 (elem!1 = z),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[846, 8913, 864])).
% 3.33/3.58 tff(8915,plain,
% 3.33/3.58 (~b(s(s(elem!1)), z)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[5940, 8914, 3306])).
% 3.33/3.58 tff(8916,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8917,plain,
% 3.33/3.58 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1)))))) <=> ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8918,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.33/3.58 inference(monotonicity,[status(thm)],[8917])).
% 3.33/3.58 tff(8919,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.33/3.58 inference(transitivity,[status(thm)],[8918, 8916])).
% 3.33/3.58 tff(8920,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))))),
% 3.33/3.58 inference(quant_inst,[status(thm)],[])).
% 3.33/3.58 tff(8921,plain,
% 3.33/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.33/3.58 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 3.33/3.58 tff(8922,plain,
% 3.33/3.58 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8921, 338, 6387, 1564, 6386, 1620])).
% 3.33/3.58 tff(8923,plain,
% 3.33/3.58 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[277, 8922, 2033])).
% 3.33/3.58 tff(8924,plain,
% 3.33/3.58 (r(s(elem!1), z)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[2759, 8914, 295])).
% 3.33/3.58 tff(8925,plain,
% 3.33/3.58 (~r(s(s(elem!1)), z)),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[5958, 8924, 8923])).
% 3.33/3.58 tff(8926,plain,
% 3.33/3.58 ($false),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[800, 8925, 8915])).
% 3.33/3.58 tff(8927,plain,((~b(s(elem!1), s(s(elem!1)))) | b(s(s(elem!1)), elem!1) | (~r(s(elem!1), elem!1)) | r(elem!1, z) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z)) | (s(s(s(elem!1))) = s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.58 tff(8928,plain,
% 3.33/3.58 (~b(s(elem!1), s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[8927, 8883, 3306, 864, 8885, 8888, 6386, 1301, 218, 6387])).
% 3.33/3.58 tff(8929,plain,
% 3.33/3.58 (r(s(elem!1), s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[3081, 8928, 6853])).
% 3.33/3.58 tff(8930,plain,
% 3.33/3.58 (~r(elem!1, s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[3077, 8929, 8883])).
% 3.33/3.58 tff(8931,plain,
% 3.33/3.58 (b(elem!1, s(s(elem!1)))),
% 3.33/3.58 inference(unit_resolution,[status(thm)],[321, 8930, 137])).
% 3.33/3.58 tff(8932,plain,
% 3.33/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.33/3.58 inference(rewrite,[status(thm)],[])).
% 3.33/3.58 tff(8933,plain,
% 3.33/3.58 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(8934,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.33/3.59 inference(monotonicity,[status(thm)],[8933])).
% 3.33/3.59 tff(8935,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.33/3.59 inference(transitivity,[status(thm)],[8934, 8932])).
% 3.33/3.59 tff(8936,plain,
% 3.33/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))),
% 3.33/3.59 inference(quant_inst,[status(thm)],[])).
% 3.33/3.59 tff(8937,plain,
% 3.33/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[8936, 8935])).
% 3.33/3.59 tff(8938,plain,
% 3.33/3.59 ((~b(elem!1, z)) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8937, 338, 762, 8722, 1564, 6386])).
% 3.33/3.59 tff(8939,plain,
% 3.33/3.59 (~b(elem!1, z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8938, 316])).
% 3.33/3.59 tff(8940,plain,
% 3.33/3.59 (elem!1 = z),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[846, 8939, 864])).
% 3.33/3.59 tff(8941,plain,
% 3.33/3.59 (s(elem!1) = s(z)),
% 3.33/3.59 inference(monotonicity,[status(thm)],[8940])).
% 3.33/3.59 tff(8942,plain,
% 3.33/3.59 (r(z, s(elem!1)) <=> r(z, s(z))),
% 3.33/3.59 inference(monotonicity,[status(thm)],[8941])).
% 3.33/3.59 tff(8943,plain,
% 3.33/3.59 (r(z, s(z)) <=> r(z, s(elem!1))),
% 3.33/3.59 inference(symmetry,[status(thm)],[8942])).
% 3.33/3.59 tff(8944,plain,
% 3.33/3.59 (r(z, s(elem!1))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[1731, 8943])).
% 3.33/3.59 tff(8945,plain,
% 3.33/3.59 (~r(z, s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[7177, 316, 215, 6386, 1353, 6387])).
% 3.33/3.59 tff(8946,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8945, 8944])).
% 3.33/3.59 tff(8947,plain,((~b(s(s(elem!1)), s(elem!1))) | (~r(z, s(z))) | r(elem!1, z) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(8948,plain,
% 3.33/3.59 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8947, 8931, 864, 1731, 8722, 8885, 6386, 210, 1353, 6387])).
% 3.33/3.59 tff(8949,plain,
% 3.33/3.59 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[277, 8948, 225])).
% 3.33/3.59 tff(8950,plain,
% 3.33/3.59 (~(elem!1 = s(s(s(elem!1))))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[3385, 864, 1301])).
% 3.33/3.59 tff(8951,plain,
% 3.33/3.59 (~(s(s(s(elem!1))) = elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[3379, 8950])).
% 3.33/3.59 tff(8952,plain,
% 3.33/3.59 (r(s(s(s(elem!1))), elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[2162, 8951, 7053])).
% 3.33/3.59 tff(8953,plain,
% 3.33/3.59 (~r(z, elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[6359, 8952, 1353])).
% 3.33/3.59 tff(8954,plain,
% 3.33/3.59 (~(elem!1 = z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[5940, 878, 3306])).
% 3.33/3.59 tff(8955,plain,
% 3.33/3.59 (b(elem!1, z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[846, 8954, 864])).
% 3.33/3.59 tff(8956,plain,
% 3.33/3.59 (~(z = elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[2752, 8954])).
% 3.33/3.59 tff(8957,plain,
% 3.33/3.59 (b(z, elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[353, 8956, 1729])).
% 3.33/3.59 tff(8958,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(8959,plain,
% 3.33/3.59 (((~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1))))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(8960,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1))))),
% 3.33/3.59 inference(monotonicity,[status(thm)],[8959])).
% 3.33/3.59 tff(8961,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)))),
% 3.33/3.59 inference(transitivity,[status(thm)],[8960, 8958])).
% 3.33/3.59 tff(8962,plain,
% 3.33/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))))),
% 3.33/3.59 inference(quant_inst,[status(thm)],[])).
% 3.33/3.59 tff(8963,plain,
% 3.33/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[8962, 8961])).
% 3.33/3.59 tff(8964,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8963, 338, 1021, 1131, 762, 8722, 878])).
% 3.33/3.59 tff(8965,plain,((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(8966,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8965, 8957, 8955, 8722, 878, 762])).
% 3.33/3.59 tff(8967,plain,((~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | r(z, elem!1) | r(elem!1, z) | b(s(s(elem!1)), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(8968,plain,
% 3.33/3.59 (~b(s(s(elem!1)), z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8967, 8931, 8722, 8953, 864, 3306])).
% 3.33/3.59 tff(8969,plain,
% 3.33/3.59 (r(s(s(elem!1)), z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[800, 8968])).
% 3.33/3.59 tff(8970,plain,
% 3.33/3.59 (~r(s(elem!1), z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[5958, 8969, 8949])).
% 3.33/3.59 tff(8971,plain,
% 3.33/3.59 (b(s(elem!1), z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[1812, 8970])).
% 3.33/3.59 tff(8972,plain,
% 3.33/3.59 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8904, 1301, 233])).
% 3.33/3.59 tff(8973,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(8974,plain,
% 3.33/3.59 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))))),
% 3.33/3.59 inference(quant_inst,[status(thm)],[])).
% 3.33/3.59 tff(8975,plain,
% 3.33/3.59 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1))))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[8974, 8973])).
% 3.33/3.59 tff(8976,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8975, 82, 1301, 1294, 787])).
% 3.33/3.59 tff(8977,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(8978,plain,
% 3.33/3.59 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8977, 1301, 787])).
% 3.33/3.59 tff(8979,plain,
% 3.33/3.59 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[1292, 8978, 1327])).
% 3.33/3.59 tff(8980,plain,
% 3.33/3.59 (b(s(s(s(elem!1))), elem!1)),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[6387, 2633])).
% 3.33/3.59 tff(8981,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[7053, 8980])).
% 3.33/3.59 tff(8982,plain,((~(elem!1 = s(s(elem!1)))) | b(s(s(s(elem!1))), elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(8983,plain,
% 3.33/3.59 (~(elem!1 = s(s(elem!1)))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8982, 8979, 7053])).
% 3.33/3.59 tff(8984,plain,
% 3.33/3.59 (~(s(s(elem!1)) = elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[196, 8983])).
% 3.33/3.59 tff(8985,plain,
% 3.33/3.59 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[209, 8984])).
% 3.33/3.59 tff(8986,plain,
% 3.33/3.59 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[217, 8985])).
% 3.33/3.59 tff(8987,plain,
% 3.33/3.59 (b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[1971, 8986, 8972])).
% 3.33/3.59 tff(8988,plain,
% 3.33/3.59 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[2611, 1327])).
% 3.33/3.59 tff(8989,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(8990,plain,
% 3.33/3.59 (((~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))) <=> ((~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(8991,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z))))),
% 3.33/3.59 inference(monotonicity,[status(thm)],[8990])).
% 3.33/3.59 tff(8992,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)))),
% 3.33/3.59 inference(transitivity,[status(thm)],[8991, 8989])).
% 3.33/3.59 tff(8993,plain,
% 3.33/3.59 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.33/3.59 inference(quant_inst,[status(thm)],[])).
% 3.33/3.59 tff(8994,plain,
% 3.33/3.59 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), z))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 3.33/3.59 tff(8995,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8994, 82, 1301, 2257, 787])).
% 3.33/3.59 tff(8996,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(8997,plain,
% 3.33/3.59 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8996, 1301, 787])).
% 3.33/3.59 tff(8998,plain,
% 3.33/3.59 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[2619, 8997, 8988])).
% 3.33/3.59 tff(8999,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z)))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9000,plain,
% 3.33/3.59 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z)))),
% 3.33/3.59 inference(quant_inst,[status(thm)],[])).
% 3.33/3.59 tff(9001,plain,
% 3.33/3.59 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 3.33/3.59 tff(9002,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9001, 82, 233, 264, 787])).
% 3.33/3.59 tff(9003,plain,((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(9004,plain,
% 3.33/3.59 (~r(s(s(elem!1)), s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9003, 233, 787])).
% 3.33/3.59 tff(9005,plain,
% 3.33/3.59 (~(s(s(elem!1)) = s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[224, 8986])).
% 3.33/3.59 tff(9006,plain,
% 3.33/3.59 (b(s(s(elem!1)), s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[277, 9005, 9004])).
% 3.33/3.59 tff(9007,plain,
% 3.33/3.59 (~(s(elem!1) = elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[293, 8984])).
% 3.33/3.59 tff(9008,plain,
% 3.33/3.59 (r(s(elem!1), elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[312, 9007, 305])).
% 3.33/3.59 tff(9009,plain,
% 3.33/3.59 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[2028, 9008, 1950])).
% 3.33/3.59 tff(9010,plain,
% 3.33/3.59 (b(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[1515, 9009, 8985])).
% 3.33/3.59 tff(9011,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[7170, 9010, 9006, 8979, 8998, 8987])).
% 3.33/3.59 tff(9012,plain,((~r(s(s(s(elem!1))), z)) | (~r(elem!1, s(s(s(elem!1))))) | b(s(elem!1), elem!1) | b(s(s(s(elem!1))), elem!1) | (s(s(s(elem!1))) = s(s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(9013,plain,
% 3.33/3.59 (~r(z, s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9012, 8969, 1301, 2180, 1950, 7053, 305])).
% 3.33/3.59 tff(9014,plain,
% 3.33/3.59 (b(z, s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[1615, 9013])).
% 3.33/3.59 tff(9015,plain,
% 3.33/3.59 (~(elem!1 = z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[2759, 8970, 8883])).
% 3.33/3.59 tff(9016,plain,
% 3.33/3.59 (b(elem!1, z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[846, 9015, 864])).
% 3.33/3.59 tff(9017,plain,
% 3.33/3.59 (~(z = elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[2752, 9015])).
% 3.33/3.59 tff(9018,plain,
% 3.33/3.59 (b(z, elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[353, 9017, 8953])).
% 3.33/3.59 tff(9019,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[7200, 9018, 9016, 8888, 9014, 8971])).
% 3.33/3.59 tff(9020,plain,(b(s(elem!1), elem!1) | r(elem!1, z) | (~r(s(s(s(elem!1))), z)) | (~r(elem!1, s(s(s(elem!1))))) | b(s(s(s(elem!1))), elem!1) | (~b(z, s(s(elem!1)))) | b(s(s(elem!1)), elem!1) | (~r(z, s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(9021,plain,
% 3.33/3.59 (b(s(elem!1), elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9020, 8882, 7062, 1950, 7053, 8722, 864, 1731, 6386, 1353, 6387, 137])).
% 3.33/3.59 tff(9022,plain,
% 3.33/3.59 (r(s(s(elem!1)), elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[327, 8882, 197])).
% 3.33/3.59 tff(9023,plain,
% 3.33/3.59 (~r(elem!1, s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8791, 9022, 1950, 210, 6387, 6386])).
% 3.33/3.59 tff(9024,plain,
% 3.33/3.59 (b(elem!1, s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[252, 9023, 232])).
% 3.33/3.59 tff(9025,plain,
% 3.33/3.59 (r(z, s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[4729, 9024, 1731, 9021, 8720, 864])).
% 3.33/3.59 tff(9026,plain,
% 3.33/3.59 (~b(s(s(elem!1)), s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[7177, 9025, 210, 6386, 1353, 6387])).
% 3.33/3.59 tff(9027,plain,
% 3.33/3.59 (r(s(s(elem!1)), s(elem!1))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[277, 9026, 225])).
% 3.33/3.59 tff(9028,plain,
% 3.33/3.59 (~r(s(s(elem!1)), z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9003, 9027, 9025])).
% 3.33/3.59 tff(9029,plain,
% 3.33/3.59 (b(s(s(elem!1)), z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[800, 9028])).
% 3.33/3.59 tff(9030,plain,
% 3.33/3.59 (~(elem!1 = z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[5940, 9029, 8882])).
% 3.33/3.59 tff(9031,plain,
% 3.33/3.59 (~b(elem!1, s(s(elem!1)))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8967, 9029, 8722, 8720, 864, 8882])).
% 3.33/3.59 tff(9032,plain,
% 3.33/3.59 (r(elem!1, s(s(elem!1)))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[321, 9031, 137])).
% 3.33/3.59 tff(9033,plain,
% 3.33/3.59 (~r(s(z), elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[8770, 9032, 1382, 137, 8722, 6386, 8719, 9030])).
% 3.33/3.59 tff(9034,plain,
% 3.33/3.59 (b(s(z), elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[701, 9033, 691])).
% 3.33/3.59 tff(9035,plain,
% 3.33/3.59 (b(elem!1, z)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[846, 9030, 864])).
% 3.33/3.59 tff(9036,plain,
% 3.33/3.59 (~(z = elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[2752, 9030])).
% 3.33/3.59 tff(9037,plain,
% 3.33/3.59 (b(z, elem!1)),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[353, 9036, 8720])).
% 3.33/3.59 tff(9038,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9039,plain,
% 3.33/3.59 (((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9040,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1))))),
% 3.33/3.59 inference(monotonicity,[status(thm)],[9039])).
% 3.33/3.59 tff(9041,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 3.33/3.59 inference(transitivity,[status(thm)],[9040, 9038])).
% 3.33/3.59 tff(9042,plain,
% 3.33/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))),
% 3.33/3.59 inference(quant_inst,[status(thm)],[])).
% 3.33/3.59 tff(9043,plain,
% 3.33/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[9042, 9041])).
% 3.33/3.59 tff(9044,plain,
% 3.33/3.59 (~b(elem!1, s(z))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9043, 338, 9037, 9035, 9034, 1740])).
% 3.33/3.59 tff(9045,plain,
% 3.33/3.59 (r(elem!1, s(z))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[819, 9044, 697])).
% 3.33/3.59 tff(9046,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9047,plain,
% 3.33/3.59 (((~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), elem!1))) <=> ((~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9048,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z)))))),
% 3.33/3.59 inference(monotonicity,[status(thm)],[9047])).
% 3.33/3.59 tff(9049,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.33/3.59 inference(transitivity,[status(thm)],[9048, 9046])).
% 3.33/3.59 tff(9050,plain,
% 3.33/3.59 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), elem!1)))),
% 3.33/3.59 inference(quant_inst,[status(thm)],[])).
% 3.33/3.59 tff(9051,plain,
% 3.33/3.59 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(z))) | (~r(s(s(elem!1)), s(z)))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 3.33/3.59 tff(9052,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9051, 82, 254, 786, 803])).
% 3.33/3.59 tff(9053,plain,((~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(9054,plain,
% 3.33/3.59 (~r(s(s(elem!1)), s(z))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9053, 9045, 9022])).
% 3.33/3.59 tff(9055,plain,
% 3.33/3.59 (b(s(s(elem!1)), s(z))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[784, 9054])).
% 3.33/3.59 tff(9056,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9057,plain,
% 3.33/3.59 (((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9058,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.33/3.59 inference(monotonicity,[status(thm)],[9057])).
% 3.33/3.59 tff(9059,plain,
% 3.33/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.33/3.59 inference(transitivity,[status(thm)],[9058, 9056])).
% 3.33/3.59 tff(9060,plain,
% 3.33/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))),
% 3.33/3.59 inference(quant_inst,[status(thm)],[])).
% 3.33/3.59 tff(9061,plain,
% 3.33/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.33/3.59 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 3.33/3.59 tff(9062,plain,
% 3.33/3.59 ($false),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9061, 338, 8722, 878, 747, 1740, 764])).
% 3.33/3.59 tff(9063,plain,((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.33/3.59 tff(9064,plain,
% 3.33/3.59 (~b(s(z), s(s(elem!1)))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[9063, 9055, 1740, 8722, 9029])).
% 3.33/3.59 tff(9065,plain,
% 3.33/3.59 (r(s(z), s(s(elem!1)))),
% 3.33/3.59 inference(unit_resolution,[status(thm)],[743, 9064])).
% 3.33/3.59 tff(9066,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9067,plain,
% 3.33/3.59 (((~r(s(z), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z)))) <=> ((~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.33/3.59 inference(rewrite,[status(thm)],[])).
% 3.33/3.59 tff(9068,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(elem!1))))))),
% 3.33/3.59 inference(monotonicity,[status(thm)],[9067])).
% 3.33/3.59 tff(9069,plain,
% 3.33/3.59 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 3.33/3.60 inference(transitivity,[status(thm)],[9068, 9066])).
% 3.33/3.60 tff(9070,plain,
% 3.33/3.60 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))))),
% 3.33/3.60 inference(quant_inst,[status(thm)],[])).
% 3.33/3.60 tff(9071,plain,
% 3.33/3.60 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(elem!1))))),
% 3.33/3.60 inference(modus_ponens,[status(thm)],[9070, 9069])).
% 3.33/3.60 tff(9072,plain,
% 3.33/3.60 ($false),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[9071, 82, 9032, 9065, 9045])).
% 3.33/3.60 tff(9073,plain,((~r(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (s(z) = elem!1) | b(s(s(s(elem!1))), z) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | r(elem!1, z) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | b(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.33/3.60 tff(9074,plain,
% 3.33/3.60 (~r(z, s(z))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[9073, 864, 8722, 691, 1382, 137, 7061, 1740, 1353, 6387, 8721, 7053])).
% 3.33/3.60 tff(9075,plain,
% 3.33/3.60 (b(z, s(z))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[403, 9074])).
% 3.33/3.60 tff(9076,plain,
% 3.33/3.60 (~(s(elem!1) = s(z))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[1912, 4711])).
% 3.33/3.60 tff(9077,plain,
% 3.33/3.60 (~(s(z) = s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[1919, 9076])).
% 3.33/3.60 tff(9078,plain,
% 3.33/3.60 (~b(s(z), elem!1)),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[7103, 4710, 1740, 486, 4712])).
% 3.33/3.60 tff(9079,plain,
% 3.33/3.60 (~r(elem!1, s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[2009, 9078, 210, 1950, 9077, 1269, 691])).
% 3.33/3.60 tff(9080,plain,
% 3.33/3.60 (b(elem!1, s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[252, 9079, 232])).
% 3.33/3.60 tff(9081,plain,
% 3.33/3.60 (~r(elem!1, s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[7079, 316, 6387, 6386, 215, 1950])).
% 3.33/3.60 tff(9082,plain,
% 3.33/3.60 (b(elem!1, s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[252, 9081, 2036])).
% 3.33/3.60 tff(9083,plain,
% 3.33/3.60 (~b(z, s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[4720, 314, 1131, 315, 1021])).
% 3.33/3.60 tff(9084,plain,
% 3.33/3.60 (r(z, s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[1615, 9083])).
% 3.33/3.60 tff(9085,plain,
% 3.33/3.60 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[8904, 9084, 1301])).
% 3.33/3.60 tff(9086,plain,
% 3.33/3.60 (b(s(s(s(elem!1))), s(elem!1))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[1971, 9085, 7069])).
% 3.33/3.60 tff(9087,plain,
% 3.33/3.60 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[7170, 9086, 6387, 316, 6386])).
% 3.33/3.60 tff(9088,plain,
% 3.33/3.60 (r(s(elem!1), s(s(s(elem!1))))),
% 3.33/3.60 inference(unit_resolution,[status(thm)],[1515, 9087, 215])).
% 3.33/3.60 tff(9089,plain,
% 3.33/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.33/3.60 inference(rewrite,[status(thm)],[])).
% 3.33/3.60 tff(9090,plain,
% 3.33/3.60 (((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.33/3.60 inference(rewrite,[status(thm)],[])).
% 3.33/3.60 tff(9091,plain,
% 3.33/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9090])).
% 3.43/3.60 tff(9092,plain,
% 3.43/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.43/3.60 inference(transitivity,[status(thm)],[9091, 9089])).
% 3.43/3.60 tff(9093,plain,
% 3.43/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.43/3.60 inference(quant_inst,[status(thm)],[])).
% 3.43/3.60 tff(9094,plain,
% 3.43/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[9093, 9092])).
% 3.43/3.60 tff(9095,plain,
% 3.43/3.60 (~b(s(elem!1), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9094, 338, 1021, 9086, 316, 6386, 314])).
% 3.43/3.60 tff(9096,plain,
% 3.43/3.60 (r(s(elem!1), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[1810, 21, 736, 9095])).
% 3.43/3.60 tff(9097,plain,
% 3.43/3.60 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(9098,plain,
% 3.43/3.60 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(elem!1))))))),
% 3.43/3.60 inference(quant_inst,[status(thm)],[])).
% 3.43/3.60 tff(9099,plain,
% 3.43/3.60 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(elem!1)))))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 3.43/3.60 tff(9100,plain,
% 3.43/3.60 ($false),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9099, 82, 9096, 1301, 9088])).
% 3.43/3.60 tff(9101,plain,((~b(s(elem!1), elem!1)) | (~r(s(s(s(elem!1))), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.60 tff(9102,plain,
% 3.43/3.60 (~b(s(elem!1), elem!1)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9101, 316, 1021, 1301, 6386, 215, 6387, 1131, 9082])).
% 3.43/3.60 tff(9103,plain,
% 3.43/3.60 (r(s(elem!1), elem!1)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[312, 9102, 306])).
% 3.43/3.60 tff(9104,plain,
% 3.43/3.60 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[2028, 9103, 1950])).
% 3.43/3.60 tff(9105,plain,
% 3.43/3.60 (b(s(elem!1), s(s(s(elem!1))))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[1515, 9104, 215])).
% 3.43/3.60 tff(9106,plain,
% 3.43/3.60 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[7170, 9105, 6387, 316, 6386])).
% 3.43/3.60 tff(9107,plain,
% 3.43/3.60 (r(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[1971, 9106, 7069])).
% 3.43/3.60 tff(9108,plain,
% 3.43/3.60 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(elem!1))))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(9109,plain,
% 3.43/3.60 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(elem!1))))),
% 3.43/3.60 inference(quant_inst,[status(thm)],[])).
% 3.43/3.60 tff(9110,plain,
% 3.43/3.60 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(elem!1)))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[9109, 9108])).
% 3.43/3.60 tff(9111,plain,
% 3.43/3.60 ($false),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9110, 82, 9107, 9103, 1269])).
% 3.43/3.60 tff(9112,plain,((~b(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (s(elem!1) = elem!1) | (~b(z, elem!1)) | (~r(s(s(s(elem!1))), z)) | (~b(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.60 tff(9113,plain,
% 3.43/3.60 (~b(s(s(elem!1)), s(elem!1))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9112, 4712, 210, 7062, 1950, 4710, 294, 1269, 6387, 6386])).
% 3.43/3.60 tff(9114,plain,
% 3.43/3.60 (r(s(s(elem!1)), s(elem!1))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[277, 9113, 225])).
% 3.43/3.60 tff(9115,plain,
% 3.43/3.60 (r(s(z), elem!1)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[701, 9078, 691])).
% 3.43/3.60 tff(9116,plain,
% 3.43/3.60 (~r(elem!1, s(s(elem!1)))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[8770, 9115, 1382, 137, 8722, 6386, 1269, 719])).
% 3.43/3.60 tff(9117,plain,
% 3.43/3.60 (b(elem!1, s(s(elem!1)))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[321, 9116, 137])).
% 3.43/3.60 tff(9118,plain,
% 3.43/3.60 (~b(s(s(elem!1)), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[8965, 9117, 8722, 4710, 4712])).
% 3.43/3.60 tff(9119,plain,
% 3.43/3.60 (r(s(s(elem!1)), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[800, 9118])).
% 3.43/3.60 tff(9120,plain,
% 3.43/3.60 (~r(s(elem!1), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[5958, 9119, 9114])).
% 3.43/3.60 tff(9121,plain,
% 3.43/3.60 (b(s(elem!1), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[1812, 9120])).
% 3.43/3.60 tff(9122,plain,
% 3.43/3.60 (~r(z, s(elem!1))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9003, 9119, 9114])).
% 3.43/3.60 tff(9123,plain,
% 3.43/3.60 (b(z, s(elem!1))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[1615, 9122])).
% 3.43/3.60 tff(9124,plain,
% 3.43/3.60 ($false),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[7200, 9123, 9121, 9080, 4710, 4712])).
% 3.43/3.60 tff(9125,plain,((elem!1 = z) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(s(elem!1))), z) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (s(z) = elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(z))) | r(z, elem!1) | r(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.60 tff(9126,plain,
% 3.43/3.60 (elem!1 = z),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9125, 8719, 137, 1382, 7061, 8722, 8721, 691, 6387, 1740, 9075, 8720, 864])).
% 3.43/3.60 tff(9127,plain,
% 3.43/3.60 (s(elem!1) = s(z)),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9126])).
% 3.43/3.60 tff(9128,plain,
% 3.43/3.60 (s(s(elem!1)) = s(s(z))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9127])).
% 3.43/3.60 tff(9129,plain,
% 3.43/3.60 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9128])).
% 3.43/3.60 tff(9130,plain,
% 3.43/3.60 (r(s(s(s(elem!1))), z) <=> r(s(s(s(z))), z)),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9129])).
% 3.43/3.60 tff(9131,plain,
% 3.43/3.60 (r(s(s(s(z))), z)),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[7062, 9130])).
% 3.43/3.60 tff(9132,plain,
% 3.43/3.60 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9129])).
% 3.43/3.60 tff(9133,plain,
% 3.43/3.60 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9132])).
% 3.43/3.60 tff(9134,plain,
% 3.43/3.60 (z = elem!1),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[716, 9126])).
% 3.43/3.60 tff(9135,plain,
% 3.43/3.60 (b(z, s(elem!1)) <=> b(z, s(z))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9127])).
% 3.43/3.60 tff(9136,plain,
% 3.43/3.60 (b(z, s(z)) <=> b(z, s(elem!1))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9135])).
% 3.43/3.60 tff(9137,plain,
% 3.43/3.60 (b(z, s(elem!1))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[9075, 9136])).
% 3.43/3.60 tff(9138,plain,
% 3.43/3.60 (b(s(elem!1), z) <=> b(s(z), z)),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9127])).
% 3.43/3.60 tff(9139,plain,
% 3.43/3.60 (b(s(z), z) <=> b(s(elem!1), z)),
% 3.43/3.60 inference(symmetry,[status(thm)],[9138])).
% 3.43/3.60 tff(9140,plain,
% 3.43/3.60 (b(s(elem!1), z)),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[1740, 9139])).
% 3.43/3.60 tff(9141,plain,
% 3.43/3.60 (~r(s(s(z)), s(s(s(z))))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[7335, 9126, 2613])).
% 3.43/3.60 tff(9142,plain,
% 3.43/3.60 (b(s(s(z)), s(s(s(z))))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[534, 9141])).
% 3.43/3.60 tff(9143,plain,
% 3.43/3.60 (r(z, s(s(s(elem!1)))) <=> r(z, s(s(s(z))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9129])).
% 3.43/3.60 tff(9144,plain,
% 3.43/3.60 (r(z, s(s(s(z))))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[1353, 9143])).
% 3.43/3.60 tff(9145,plain,
% 3.43/3.60 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2997, 2998])).
% 3.43/3.60 tff(9146,plain,
% 3.43/3.60 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9145])).
% 3.43/3.60 tff(9147,plain,
% 3.43/3.60 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[4513])).
% 3.43/3.60 tff(9148,plain,
% 3.43/3.60 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(z))), s(z))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9147])).
% 3.43/3.60 tff(9149,plain,
% 3.43/3.60 (~b(s(s(elem!1)), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[5940, 3306, 712])).
% 3.43/3.60 tff(9150,plain,
% 3.43/3.60 (r(s(s(elem!1)), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[800, 9149])).
% 3.43/3.60 tff(9151,plain,
% 3.43/3.60 (r(s(s(z)), z) <=> r(s(s(elem!1)), elem!1)),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2807, 703])).
% 3.43/3.60 tff(9152,plain,
% 3.43/3.60 (r(s(s(elem!1)), elem!1) <=> r(s(s(z)), z)),
% 3.43/3.60 inference(symmetry,[status(thm)],[9151])).
% 3.43/3.60 tff(9153,plain,
% 3.43/3.60 (r(s(s(z)), z)),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[254, 9152])).
% 3.43/3.60 tff(9154,plain,
% 3.43/3.60 ($false),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[953, 9153])).
% 3.43/3.60 tff(9155,plain,((~r(s(s(elem!1)), elem!1)) | r(s(s(z)), z) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.60 tff(9156,plain,
% 3.43/3.60 (r(s(s(z)), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9155, 5935, 8808])).
% 3.43/3.60 tff(9157,plain,
% 3.43/3.60 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2998, 2996])).
% 3.43/3.60 tff(9158,plain,
% 3.43/3.60 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[7771, 1122, 8808, 6386, 6387, 254, 164])).
% 3.43/3.60 tff(9159,plain,
% 3.43/3.60 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[1651, 9158, 1496])).
% 3.43/3.60 tff(9160,plain,
% 3.43/3.60 (r(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[9159, 9157])).
% 3.43/3.60 tff(9161,plain,
% 3.43/3.60 (r(s(s(z)), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9155, 254, 8808])).
% 3.43/3.60 tff(9162,plain,
% 3.43/3.60 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[3898, 1122, 9161])).
% 3.43/3.60 tff(9163,plain,
% 3.43/3.60 ($false),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9162, 9160])).
% 3.43/3.60 tff(9164,plain,((~r(s(s(s(s(z)))), z)) | (~(elem!1 = z)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.60 tff(9165,plain,
% 3.43/3.60 (~r(s(s(s(s(z)))), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9164, 5935, 5950, 6386, 6387, 712, 164])).
% 3.43/3.60 tff(9166,plain,
% 3.43/3.60 (b(s(s(s(s(z)))), z)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[127, 9165])).
% 3.43/3.60 tff(9167,plain,
% 3.43/3.60 ((z = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = z)),
% 3.43/3.60 inference(commutativity,[status(thm)],[])).
% 3.43/3.60 tff(9168,plain,
% 3.43/3.60 ((elem!1 = s(s(s(s(elem!1))))) <=> (z = s(s(s(s(elem!1)))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[712])).
% 3.43/3.60 tff(9169,plain,
% 3.43/3.60 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = z)),
% 3.43/3.60 inference(transitivity,[status(thm)],[9168, 9167])).
% 3.43/3.60 tff(9170,plain,
% 3.43/3.60 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9169])).
% 3.43/3.60 tff(9171,plain,
% 3.43/3.60 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9170])).
% 3.43/3.60 tff(9172,plain,
% 3.43/3.60 (~(elem!1 = s(s(s(s(elem!1)))))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[1633, 9171])).
% 3.43/3.60 tff(9173,plain,
% 3.43/3.60 (b(elem!1, s(s(elem!1))) <=> b(z, s(s(elem!1)))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[712])).
% 3.43/3.60 tff(9174,plain,
% 3.43/3.60 (b(z, s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9173])).
% 3.43/3.60 tff(9175,plain,
% 3.43/3.60 (b(elem!1, s(s(elem!1)))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[8722, 9174])).
% 3.43/3.60 tff(9176,assumption,(~b(elem!1, s(s(elem!1)))), introduced(assumption)).
% 3.43/3.60 tff(9177,plain,
% 3.43/3.60 ($false),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9176, 9175])).
% 3.43/3.60 tff(9178,plain,((~(elem!1 = z)) | b(elem!1, s(s(elem!1))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.60 tff(9179,plain,
% 3.43/3.60 (b(elem!1, s(s(elem!1)))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9178, 712, 8722])).
% 3.43/3.60 tff(9180,plain,
% 3.43/3.60 (b(s(s(s(s(elem!1)))), z) <=> b(s(s(s(s(z)))), z)),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2998])).
% 3.43/3.60 tff(9181,plain,
% 3.43/3.60 (b(s(s(s(s(z)))), z) <=> b(s(s(s(s(elem!1)))), z)),
% 3.43/3.60 inference(symmetry,[status(thm)],[9180])).
% 3.43/3.60 tff(9182,plain,
% 3.43/3.60 (b(s(s(s(s(elem!1)))), z)),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[175, 9181])).
% 3.43/3.60 tff(9183,plain,
% 3.43/3.60 (b(s(elem!1), elem!1) <=> b(s(elem!1), z)),
% 3.43/3.60 inference(monotonicity,[status(thm)],[712])).
% 3.43/3.60 tff(9184,plain,
% 3.43/3.60 (b(s(elem!1), z) <=> b(s(elem!1), elem!1)),
% 3.43/3.60 inference(symmetry,[status(thm)],[9183])).
% 3.43/3.60 tff(9185,plain,
% 3.43/3.60 (b(s(elem!1), z) <=> b(s(z), z)),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2995])).
% 3.43/3.60 tff(9186,plain,
% 3.43/3.60 (b(s(z), z) <=> b(s(elem!1), z)),
% 3.43/3.60 inference(symmetry,[status(thm)],[9185])).
% 3.43/3.60 tff(9187,plain,
% 3.43/3.60 (b(s(z), z) <=> b(s(elem!1), elem!1)),
% 3.43/3.60 inference(transitivity,[status(thm)],[9186, 9184])).
% 3.43/3.60 tff(9188,plain,
% 3.43/3.60 (b(s(elem!1), elem!1)),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[1740, 9187])).
% 3.43/3.60 tff(9189,plain,
% 3.43/3.60 (b(elem!1, s(elem!1)) <=> b(z, s(elem!1))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[712])).
% 3.43/3.60 tff(9190,plain,
% 3.43/3.60 (b(z, s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9189])).
% 3.43/3.60 tff(9191,plain,
% 3.43/3.60 (b(z, s(elem!1)) <=> b(z, s(z))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2995])).
% 3.43/3.60 tff(9192,plain,
% 3.43/3.60 (b(z, s(z)) <=> b(z, s(elem!1))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9191])).
% 3.43/3.60 tff(9193,plain,
% 3.43/3.60 (b(z, s(z)) <=> b(elem!1, s(elem!1))),
% 3.43/3.60 inference(transitivity,[status(thm)],[9192, 9190])).
% 3.43/3.60 tff(9194,plain,
% 3.43/3.60 (b(elem!1, s(elem!1))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[486, 9193])).
% 3.43/3.60 tff(9195,plain,
% 3.43/3.60 (r(s(elem!1), s(s(elem!1))) <=> r(s(z), s(s(elem!1)))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2995])).
% 3.43/3.60 tff(9196,plain,
% 3.43/3.60 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9195])).
% 3.43/3.60 tff(9197,plain,
% 3.43/3.60 (b(z, s(s(elem!1))) <=> b(z, s(s(z)))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2996])).
% 3.43/3.60 tff(9198,plain,
% 3.43/3.60 (b(z, s(s(z)))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[8722, 9197])).
% 3.43/3.60 tff(9199,plain,
% 3.43/3.60 (s(s(z)) = s(s(elem!1))),
% 3.43/3.60 inference(symmetry,[status(thm)],[2996])).
% 3.43/3.60 tff(9200,plain,
% 3.43/3.60 (r(s(s(z)), s(z)) <=> r(s(s(elem!1)), s(z))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9199])).
% 3.43/3.60 tff(9201,plain,
% 3.43/3.60 (r(s(s(elem!1)), s(z)) <=> r(s(s(z)), s(z))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9200])).
% 3.43/3.60 tff(9202,plain,
% 3.43/3.60 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(z))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2995])).
% 3.43/3.60 tff(9203,plain,
% 3.43/3.60 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(z)), s(z))),
% 3.43/3.60 inference(transitivity,[status(thm)],[9202, 9201])).
% 3.43/3.60 tff(9204,plain,
% 3.43/3.60 (r(s(s(z)), s(z))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[264, 9203])).
% 3.43/3.60 tff(9205,plain,
% 3.43/3.60 (b(s(z), s(s(z))) <=> b(s(z), s(s(elem!1)))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9199])).
% 3.43/3.60 tff(9206,plain,
% 3.43/3.60 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(z)))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9205])).
% 3.43/3.60 tff(9207,plain,
% 3.43/3.60 (b(s(z), s(s(z)))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[747, 9206])).
% 3.43/3.60 tff(9208,plain,
% 3.43/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(9209,plain,
% 3.43/3.60 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(9210,plain,
% 3.43/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z))))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9209])).
% 3.43/3.60 tff(9211,plain,
% 3.43/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))))),
% 3.43/3.60 inference(transitivity,[status(thm)],[9210, 9208])).
% 3.43/3.60 tff(9212,plain,
% 3.43/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.43/3.60 inference(quant_inst,[status(thm)],[])).
% 3.43/3.60 tff(9213,plain,
% 3.43/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z))))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 3.43/3.60 tff(9214,plain,
% 3.43/3.60 (~b(s(s(s(s(z)))), s(z))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9213, 338, 486, 601, 1740, 9207, 175])).
% 3.43/3.60 tff(9215,plain,
% 3.43/3.60 (r(s(s(s(s(z)))), s(z))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[119, 9214])).
% 3.43/3.60 tff(9216,plain,
% 3.43/3.60 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[462, 82, 9215, 9204])).
% 3.43/3.60 tff(9217,plain,
% 3.43/3.60 (b(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[68, 9216])).
% 3.43/3.60 tff(9218,plain,
% 3.43/3.60 ((s(s(s(z))) = s(s(z))) <=> (s(s(z)) = s(s(s(z))))),
% 3.43/3.60 inference(commutativity,[status(thm)],[])).
% 3.43/3.60 tff(9219,plain,
% 3.43/3.60 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = s(s(z)))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2996])).
% 3.43/3.60 tff(9220,plain,
% 3.43/3.60 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(z)) = s(s(s(z))))),
% 3.43/3.60 inference(transitivity,[status(thm)],[9219, 9218])).
% 3.43/3.60 tff(9221,plain,
% 3.43/3.60 ((s(s(z)) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9220])).
% 3.43/3.60 tff(9222,plain,
% 3.43/3.60 ((~(s(s(z)) = s(s(s(z))))) <=> (~(s(s(s(z))) = s(s(elem!1))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9221])).
% 3.43/3.60 tff(9223,plain,
% 3.43/3.60 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[529, 9222])).
% 3.43/3.60 tff(9224,plain,
% 3.43/3.60 (r(s(z), s(s(s(s(elem!1))))) <=> r(s(z), s(s(s(s(z)))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2998])).
% 3.43/3.60 tff(9225,plain,
% 3.43/3.60 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9224])).
% 3.43/3.60 tff(9226,plain,
% 3.43/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(9227,plain,
% 3.43/3.60 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(9228,plain,
% 3.43/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[9227])).
% 3.43/3.60 tff(9229,plain,
% 3.43/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 3.43/3.60 inference(transitivity,[status(thm)],[9228, 9226])).
% 3.43/3.60 tff(9230,plain,
% 3.43/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.43/3.60 inference(quant_inst,[status(thm)],[])).
% 3.43/3.60 tff(9231,plain,
% 3.43/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[9230, 9229])).
% 3.43/3.60 tff(9232,plain,
% 3.43/3.60 (~b(s(z), s(s(s(s(z)))))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[9231, 338, 486, 601, 1740, 9207, 175])).
% 3.43/3.60 tff(9233,plain,
% 3.43/3.60 (r(s(z), s(s(s(s(z)))))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[106, 9232])).
% 3.43/3.60 tff(9234,plain,
% 3.43/3.60 (r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[9233, 9225])).
% 3.43/3.60 tff(9235,plain,
% 3.43/3.60 (r(s(s(s(s(elem!1)))), s(elem!1)) <=> r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[2995])).
% 3.43/3.60 tff(9236,plain,
% 3.43/3.60 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.43/3.60 inference(symmetry,[status(thm)],[9235])).
% 3.43/3.60 tff(9237,plain,
% 3.43/3.60 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(s(s(z)))), s(z))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[2998])).
% 3.43/3.61 tff(9238,plain,
% 3.43/3.61 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.61 inference(symmetry,[status(thm)],[9237])).
% 3.43/3.61 tff(9239,plain,
% 3.43/3.61 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.43/3.61 inference(transitivity,[status(thm)],[9238, 9236])).
% 3.43/3.61 tff(9240,plain,
% 3.43/3.61 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9215, 9239])).
% 3.43/3.61 tff(9241,plain,
% 3.43/3.61 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[8101, 9240, 264])).
% 3.43/3.61 tff(9242,plain,
% 3.43/3.61 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[1651, 9241, 1496])).
% 3.43/3.61 tff(9243,plain,
% 3.43/3.61 (~r(s(z), s(s(s(z))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[7454, 9242, 8808, 6387, 9234, 6386, 9215])).
% 3.43/3.61 tff(9244,plain,
% 3.43/3.61 (b(s(z), s(s(s(z))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[424, 9243])).
% 3.43/3.61 tff(9245,plain,
% 3.43/3.61 (~b(s(s(s(z))), s(z))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[1230, 9244, 9223, 787, 747, 426])).
% 3.43/3.61 tff(9246,plain,
% 3.43/3.61 (r(s(s(s(z))), s(z))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[437, 9245])).
% 3.43/3.61 tff(9247,plain,
% 3.43/3.61 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[7735, 9246, 486, 1740, 175])).
% 3.43/3.61 tff(9248,plain,
% 3.43/3.61 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[689, 9247])).
% 3.43/3.61 tff(9249,plain,
% 3.43/3.61 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(z)))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[2997, 2996])).
% 3.43/3.61 tff(9250,plain,
% 3.43/3.61 (b(s(s(s(z))), s(s(z)))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[6387, 9249])).
% 3.43/3.61 tff(9251,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9252,plain,
% 3.43/3.61 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9253,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[9252])).
% 3.43/3.61 tff(9254,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 3.43/3.61 inference(transitivity,[status(thm)],[9253, 9251])).
% 3.43/3.61 tff(9255,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 3.43/3.61 inference(quant_inst,[status(thm)],[])).
% 3.43/3.61 tff(9256,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 3.43/3.61 tff(9257,plain,
% 3.43/3.61 ($false),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9256, 338, 476, 9244, 9250, 9207, 9248, 9217])).
% 3.43/3.61 tff(9258,plain,((~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~(elem!1 = z)) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.61 tff(9259,plain,
% 3.43/3.61 (~b(s(z), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9258, 264, 486, 1740, 175, 787, 426, 6387, 6386, 1496, 476, 712, 9198])).
% 3.43/3.61 tff(9260,plain,
% 3.43/3.61 (r(s(z), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[743, 9259])).
% 3.43/3.61 tff(9261,plain,
% 3.43/3.61 (r(s(elem!1), s(s(elem!1)))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9260, 9196])).
% 3.43/3.61 tff(9262,plain,
% 3.43/3.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9263,plain,
% 3.43/3.61 (((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))) <=> ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9264,plain,
% 3.43/3.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[9263])).
% 3.43/3.61 tff(9265,plain,
% 3.43/3.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.43/3.61 inference(transitivity,[status(thm)],[9264, 9262])).
% 3.43/3.61 tff(9266,plain,
% 3.43/3.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 3.43/3.61 inference(quant_inst,[status(thm)],[])).
% 3.43/3.61 tff(9267,plain,
% 3.43/3.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(elem!1)))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 3.43/3.61 tff(9268,plain,
% 3.43/3.61 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9267, 82, 1653, 1814])).
% 3.43/3.61 tff(9269,plain,
% 3.43/3.61 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[7416, 9268, 703])).
% 3.43/3.61 tff(9270,plain,
% 3.43/3.61 (b(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[1585, 9269])).
% 3.43/3.61 tff(9271,plain,
% 3.43/3.61 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9270, 4455])).
% 3.43/3.61 tff(9272,plain,
% 3.43/3.61 ((~r(s(elem!1), s(s(s(s(elem!1)))))) <=> (~r(s(z), s(s(s(s(elem!1))))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[7432])).
% 3.43/3.61 tff(9273,plain,
% 3.43/3.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9274,plain,
% 3.43/3.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 3.43/3.61 inference(quant_inst,[status(thm)],[])).
% 3.43/3.61 tff(9275,plain,
% 3.43/3.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1))))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9274, 9273])).
% 3.43/3.61 tff(9276,plain,
% 3.43/3.61 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9275, 82, 1653, 1814])).
% 3.43/3.61 tff(9277,plain,
% 3.43/3.61 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9276, 9272])).
% 3.43/3.61 tff(9278,plain,
% 3.43/3.61 (b(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[2239, 9277])).
% 3.43/3.61 tff(9279,plain,
% 3.43/3.61 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9278, 5815])).
% 3.43/3.61 tff(9280,plain,
% 3.43/3.61 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[2822, 2807])).
% 3.43/3.61 tff(9281,plain,
% 3.43/3.61 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.61 inference(symmetry,[status(thm)],[9280])).
% 3.43/3.61 tff(9282,plain,
% 3.43/3.61 (r(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[1653, 9281])).
% 3.43/3.61 tff(9283,plain,
% 3.43/3.61 (~r(s(s(s(s(z)))), z)),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[3898, 9282, 3893])).
% 3.43/3.61 tff(9284,plain,
% 3.43/3.61 (b(s(s(s(s(z)))), z)),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[127, 9283])).
% 3.43/3.61 tff(9285,plain,
% 3.43/3.61 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9284, 2853])).
% 3.43/3.61 tff(9286,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9287,plain,
% 3.43/3.61 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9288,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[9287])).
% 3.43/3.61 tff(9289,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.43/3.61 inference(transitivity,[status(thm)],[9288, 9286])).
% 3.43/3.61 tff(9290,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.43/3.61 inference(quant_inst,[status(thm)],[])).
% 3.43/3.61 tff(9291,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 3.43/3.61 tff(9292,plain,
% 3.43/3.61 ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1))))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9291, 338, 315, 314, 9285])).
% 3.43/3.61 tff(9293,plain,
% 3.43/3.61 ($false),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9292, 9279, 9271])).
% 3.43/3.61 tff(9294,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~(z = elem!1)) | (~r(s(s(z)), z)) | (~r(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.61 tff(9295,plain,
% 3.43/3.61 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9294, 9261, 8808, 9194, 9188, 3893])).
% 3.43/3.61 tff(9296,plain,
% 3.43/3.61 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[1651, 9295, 1496])).
% 3.43/3.61 tff(9297,plain,
% 3.43/3.61 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.43/3.61 inference(symmetry,[status(thm)],[2998])).
% 3.43/3.61 tff(9298,plain,
% 3.43/3.61 (r(s(s(z)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[9199, 9297])).
% 3.43/3.61 tff(9299,plain,
% 3.43/3.61 ((~r(s(s(z)), s(s(s(s(z)))))) <=> (~r(s(s(elem!1)), s(s(s(s(elem!1))))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[9298])).
% 3.43/3.61 tff(9300,plain,
% 3.43/3.61 (~b(s(s(s(s(z)))), s(z))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[7542, 9296, 9188, 9194, 8808, 6387, 164, 6386, 2266, 175, 1740, 486, 9261])).
% 3.43/3.61 tff(9301,plain,
% 3.43/3.61 (r(s(s(s(s(z)))), s(z))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[119, 9300])).
% 3.43/3.61 tff(9302,plain,
% 3.43/3.61 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[943, 82, 9301, 9204])).
% 3.43/3.61 tff(9303,plain,
% 3.43/3.61 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9302, 9299])).
% 3.43/3.61 tff(9304,plain,
% 3.43/3.61 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[1724, 9303, 2266])).
% 3.43/3.61 tff(9305,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9306,plain,
% 3.43/3.61 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9307,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[9306])).
% 3.43/3.61 tff(9308,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.43/3.61 inference(transitivity,[status(thm)],[9307, 9305])).
% 3.43/3.61 tff(9309,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))))),
% 3.43/3.61 inference(quant_inst,[status(thm)],[])).
% 3.43/3.61 tff(9310,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 3.43/3.61 tff(9311,plain,
% 3.43/3.61 ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9310, 338])).
% 3.43/3.61 tff(9312,plain,
% 3.43/3.61 (~b(elem!1, s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9311, 9304, 8722, 9296, 9182, 9179])).
% 3.43/3.61 tff(9313,plain,
% 3.43/3.61 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[2297, 9312, 9172])).
% 3.43/3.61 tff(9314,plain,
% 3.43/3.61 (r(z, s(s(s(s(z)))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9313, 3001])).
% 3.43/3.61 tff(9315,plain,
% 3.43/3.61 (~r(z, s(s(s(s(z)))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[7362, 9296, 6387, 6386, 8808, 164])).
% 3.43/3.61 tff(9316,plain,
% 3.43/3.61 ($false),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9315, 9314])).
% 3.43/3.61 tff(9317,plain,((~r(s(s(elem!1)), s(elem!1))) | (~(elem!1 = z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(s(z)), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~b(s(s(z)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.61 tff(9318,plain,
% 3.43/3.61 (~r(s(s(elem!1)), s(elem!1))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9317, 9166, 8722, 6387, 164, 6386, 712, 1740, 486, 5950, 9156, 9150, 426, 476])).
% 3.43/3.61 tff(9319,plain,
% 3.43/3.61 (b(s(s(elem!1)), s(elem!1))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[277, 9318, 7148])).
% 3.43/3.61 tff(9320,plain,
% 3.43/3.61 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[2856, 9166, 8808])).
% 3.43/3.61 tff(9321,plain,
% 3.43/3.61 (~(s(elem!1) = s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[1786, 7148])).
% 3.43/3.61 tff(9322,plain,
% 3.43/3.61 (b(z, s(elem!1))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[486, 9192])).
% 3.43/3.61 tff(9323,plain,
% 3.43/3.61 (b(s(elem!1), z)),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[1740, 9186])).
% 3.43/3.61 tff(9324,plain,
% 3.43/3.61 (b(s(elem!1), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[1827, 21, 3079, 1788])).
% 3.43/3.61 tff(9325,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9326,plain,
% 3.43/3.61 (((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9327,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[9326])).
% 3.43/3.61 tff(9328,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.43/3.61 inference(transitivity,[status(thm)],[9327, 9325])).
% 3.43/3.61 tff(9329,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))))),
% 3.43/3.61 inference(quant_inst,[status(thm)],[])).
% 3.43/3.61 tff(9330,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 3.43/3.61 tff(9331,plain,
% 3.43/3.61 ($false),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9330, 338, 8722, 1597, 316, 1796, 9324])).
% 3.43/3.61 tff(9332,plain,((~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | r(s(elem!1), s(s(elem!1))) | (s(elem!1) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.61 tff(9333,plain,
% 3.43/3.61 (r(s(elem!1), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9332, 9319, 8722, 9323, 9322, 9321])).
% 3.43/3.61 tff(9334,plain,
% 3.43/3.61 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[9294, 9333, 8808, 9194, 9188, 9156])).
% 3.43/3.61 tff(9335,plain,
% 3.43/3.61 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[1651, 9334, 5950])).
% 3.43/3.61 tff(9336,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9337,plain,
% 3.43/3.61 (((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.43/3.61 inference(rewrite,[status(thm)],[])).
% 3.43/3.61 tff(9338,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.43/3.61 inference(monotonicity,[status(thm)],[9337])).
% 3.43/3.61 tff(9339,plain,
% 3.43/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.43/3.61 inference(transitivity,[status(thm)],[9338, 9336])).
% 3.43/3.61 tff(9340,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.43/3.61 inference(quant_inst,[status(thm)],[])).
% 3.43/3.61 tff(9341,plain,
% 3.43/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9340, 9339])).
% 3.43/3.62 tff(9342,plain,
% 3.43/3.62 ($false),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9341, 338, 1500, 762, 316, 2301, 6386, 1621])).
% 3.43/3.62 tff(9343,plain,((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.62 tff(9344,plain,
% 3.43/3.62 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9343, 9335, 6386, 9179, 9320, 9319])).
% 3.43/3.62 tff(9345,plain,
% 3.43/3.62 (r(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[1971, 9344, 5949])).
% 3.43/3.62 tff(9346,plain,
% 3.43/3.62 (r(s(s(s(elem!1))), s(z))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[7807, 9345, 8808])).
% 3.43/3.62 tff(9347,plain,
% 3.43/3.62 (r(s(s(s(z))), s(z))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9346, 9148])).
% 3.43/3.62 tff(9348,plain,
% 3.43/3.62 (~b(s(s(s(s(z)))), s(z))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[7542, 9335, 9188, 9194, 8808, 6387, 164, 6386, 5951, 9166, 1740, 486, 9333])).
% 3.43/3.62 tff(9349,plain,
% 3.43/3.62 (r(s(s(s(s(z)))), s(z))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[119, 9348])).
% 3.43/3.62 tff(9350,plain,
% 3.43/3.62 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[2875, 82, 9349, 9347])).
% 3.43/3.62 tff(9351,plain,
% 3.43/3.62 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[689, 9350])).
% 3.43/3.62 tff(9352,plain,
% 3.43/3.62 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9351, 9146])).
% 3.43/3.62 tff(9353,plain,
% 3.43/3.62 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[7726, 9347, 6387, 6386, 8808, 9333, 1740, 486, 9335, 5948, 164])).
% 3.43/3.62 tff(9354,plain,
% 3.43/3.62 ($false),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9353, 9352])).
% 3.43/3.62 tff(9355,plain,(b(s(s(elem!1)), elem!1) | (~(elem!1 = z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(z, s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~b(s(s(z)), s(s(s(z))))) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.62 tff(9356,plain,
% 3.43/3.62 (b(s(s(elem!1)), elem!1)),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9355, 9126, 6387, 7061, 1740, 9075, 9144, 8722, 9131, 9142, 197])).
% 3.43/3.62 tff(9357,plain,
% 3.43/3.62 (b(s(s(elem!1)), z)),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[906, 9356, 9134])).
% 3.43/3.62 tff(9358,plain,
% 3.43/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9359,plain,
% 3.43/3.62 (((~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1)))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9360,plain,
% 3.43/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9359])).
% 3.43/3.62 tff(9361,plain,
% 3.43/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.43/3.62 inference(transitivity,[status(thm)],[9360, 9358])).
% 3.43/3.62 tff(9362,plain,
% 3.43/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.43/3.62 inference(quant_inst,[status(thm)],[])).
% 3.43/3.62 tff(9363,plain,
% 3.43/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 3.43/3.62 tff(9364,plain,
% 3.43/3.62 ($false),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9363, 338, 8722, 1597, 316, 878, 1796])).
% 3.43/3.62 tff(9365,plain,((~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.62 tff(9366,plain,
% 3.43/3.62 (~b(s(s(elem!1)), s(elem!1))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9365, 9357, 8722, 9140, 9137])).
% 3.43/3.62 tff(9367,plain,
% 3.43/3.62 (r(s(s(elem!1)), s(elem!1))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[277, 9366, 225])).
% 3.43/3.62 tff(9368,plain,
% 3.43/3.62 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[8824, 9357, 8722, 9126, 6387, 7061, 9144, 8719, 2181])).
% 3.43/3.62 tff(9369,plain,
% 3.43/3.62 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[1651, 9368, 2119])).
% 3.43/3.62 tff(9370,plain,
% 3.43/3.62 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[8101, 9369, 9367])).
% 3.43/3.62 tff(9371,plain,
% 3.43/3.62 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[7416, 9370, 9134])).
% 3.43/3.62 tff(9372,plain,
% 3.43/3.62 (b(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[1585, 9371])).
% 3.43/3.62 tff(9373,plain,
% 3.43/3.62 (b(s(s(s(s(z)))), s(z))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9372, 9133])).
% 3.43/3.62 tff(9374,plain,
% 3.43/3.62 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9132, 9128])).
% 3.43/3.62 tff(9375,plain,
% 3.43/3.62 (r(s(s(s(s(z)))), s(s(z)))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9369, 9374])).
% 3.43/3.62 tff(9376,plain,
% 3.43/3.62 (s(s(z)) = s(s(elem!1))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9128])).
% 3.43/3.62 tff(9377,plain,
% 3.43/3.62 (r(s(z), s(s(z))) <=> r(s(z), s(s(elem!1)))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9376])).
% 3.43/3.62 tff(9378,plain,
% 3.43/3.62 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9377])).
% 3.43/3.62 tff(9379,plain,
% 3.43/3.62 (b(s(z), elem!1)),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[3104, 9126, 1740])).
% 3.43/3.62 tff(9380,plain,
% 3.43/3.62 (b(elem!1, s(s(elem!1)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9178, 9126, 8722])).
% 3.43/3.62 tff(9381,plain,
% 3.43/3.62 (b(elem!1, s(z)) <=> b(z, s(z))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9126])).
% 3.43/3.62 tff(9382,plain,
% 3.43/3.62 (b(z, s(z)) <=> b(elem!1, s(z))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9381])).
% 3.43/3.62 tff(9383,plain,
% 3.43/3.62 (b(elem!1, s(z))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9075, 9382])).
% 3.43/3.62 tff(9384,plain,
% 3.43/3.62 (~b(s(z), s(s(elem!1)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[839, 9356, 9383, 9380, 9379])).
% 3.43/3.62 tff(9385,plain,
% 3.43/3.62 (r(s(z), s(s(elem!1)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[743, 9384])).
% 3.43/3.62 tff(9386,plain,
% 3.43/3.62 (r(s(z), s(s(z)))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9385, 9378])).
% 3.43/3.62 tff(9387,plain,
% 3.43/3.62 (~r(s(z), s(s(s(s(z)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[88, 82, 9386, 9375])).
% 3.43/3.62 tff(9388,plain,
% 3.43/3.62 (b(s(z), s(s(s(s(z)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[106, 9387])).
% 3.43/3.62 tff(9389,plain,
% 3.43/3.62 (~b(s(s(s(s(z)))), z)),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[3204, 9388, 1740, 9075, 9373])).
% 3.43/3.62 tff(9390,plain,
% 3.43/3.62 (r(s(s(s(s(z)))), z)),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[127, 9389])).
% 3.43/3.62 tff(9391,plain,
% 3.43/3.62 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[3603, 9390, 9131])).
% 3.43/3.62 tff(9392,plain,
% 3.43/3.62 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[689, 9391])).
% 3.43/3.62 tff(9393,plain,
% 3.43/3.62 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[1127, 9390, 9144])).
% 3.43/3.62 tff(9394,plain,
% 3.43/3.62 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[1011, 9393])).
% 3.43/3.62 tff(9395,plain,
% 3.43/3.62 (b(s(elem!1), elem!1) <=> b(s(elem!1), z)),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9126])).
% 3.43/3.62 tff(9396,plain,
% 3.43/3.62 (b(s(elem!1), z) <=> b(s(elem!1), elem!1)),
% 3.43/3.62 inference(symmetry,[status(thm)],[9395])).
% 3.43/3.62 tff(9397,plain,
% 3.43/3.62 (b(s(z), z) <=> b(s(elem!1), elem!1)),
% 3.43/3.62 inference(transitivity,[status(thm)],[9139, 9396])).
% 3.43/3.62 tff(9398,plain,
% 3.43/3.62 (b(s(elem!1), elem!1)),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[1740, 9397])).
% 3.43/3.62 tff(9399,plain,
% 3.43/3.62 (b(elem!1, s(elem!1)) <=> b(z, s(elem!1))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9126])).
% 3.43/3.62 tff(9400,plain,
% 3.43/3.62 (b(z, s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9399])).
% 3.43/3.62 tff(9401,plain,
% 3.43/3.62 (b(z, s(z)) <=> b(elem!1, s(elem!1))),
% 3.43/3.62 inference(transitivity,[status(thm)],[9136, 9400])).
% 3.43/3.62 tff(9402,plain,
% 3.43/3.62 (b(elem!1, s(elem!1))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9075, 9401])).
% 3.43/3.62 tff(9403,plain,
% 3.43/3.62 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9129])).
% 3.43/3.62 tff(9404,plain,
% 3.43/3.62 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(z))) = s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(transitivity,[status(thm)],[9403, 6162])).
% 3.43/3.62 tff(9405,plain,
% 3.43/3.62 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.43/3.62 inference(transitivity,[status(thm)],[9404, 7293])).
% 3.43/3.62 tff(9406,plain,
% 3.43/3.62 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9405])).
% 3.43/3.62 tff(9407,plain,
% 3.43/3.62 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[1336, 8718])).
% 3.43/3.62 tff(9408,plain,
% 3.43/3.62 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[5699, 9407])).
% 3.43/3.62 tff(9409,plain,
% 3.43/3.62 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9408, 9406])).
% 3.43/3.62 tff(9410,plain,
% 3.43/3.62 (r(s(s(z)), s(z)) <=> r(s(s(elem!1)), s(z))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9376])).
% 3.43/3.62 tff(9411,plain,
% 3.43/3.62 (r(s(s(elem!1)), s(z)) <=> r(s(s(z)), s(z))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9410])).
% 3.43/3.62 tff(9412,plain,
% 3.43/3.62 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(z))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9127])).
% 3.43/3.62 tff(9413,plain,
% 3.43/3.62 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(z)), s(z))),
% 3.43/3.62 inference(transitivity,[status(thm)],[9412, 9411])).
% 3.43/3.62 tff(9414,plain,
% 3.43/3.62 (r(s(s(z)), s(z))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9367, 9413])).
% 3.43/3.62 tff(9415,plain,
% 3.43/3.62 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6043, 9172])).
% 3.43/3.62 tff(9416,plain,
% 3.43/3.62 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[7993, 7989, 8808])).
% 3.43/3.62 tff(9417,plain,
% 3.43/3.62 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6051, 9415])).
% 3.43/3.62 tff(9418,plain,
% 3.43/3.62 (r(s(s(s(s(s(s(elem!1)))))), s(s(z))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9199])).
% 3.43/3.62 tff(9419,plain,
% 3.43/3.62 ((~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9418])).
% 3.43/3.62 tff(9420,plain,
% 3.43/3.62 (~(s(s(s(s(s(s(elem!1)))))) = s(z))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[7317, 8808])).
% 3.43/3.62 tff(9421,assumption,(r(s(s(s(s(s(s(elem!1)))))), s(z))), introduced(assumption)).
% 3.43/3.62 tff(9422,plain,
% 3.43/3.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9423,plain,
% 3.43/3.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))))),
% 3.43/3.62 inference(quant_inst,[status(thm)],[])).
% 3.43/3.62 tff(9424,plain,
% 3.43/3.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9423, 9422])).
% 3.43/3.62 tff(9425,plain,
% 3.43/3.62 (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9424, 82, 459, 9421])).
% 3.43/3.62 tff(9426,plain,
% 3.43/3.62 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9425, 9419])).
% 3.43/3.62 tff(9427,plain,
% 3.43/3.62 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6063, 9426, 9417])).
% 3.43/3.62 tff(9428,plain,
% 3.43/3.62 (r(s(s(z)), s(s(s(s(s(s(elem!1))))))) <=> r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9199])).
% 3.43/3.62 tff(9429,plain,
% 3.43/3.62 ((~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))) <=> (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9428])).
% 3.43/3.62 tff(9430,plain,
% 3.43/3.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9431,plain,
% 3.43/3.62 (((~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9432,plain,
% 3.43/3.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9431])).
% 3.43/3.62 tff(9433,plain,
% 3.43/3.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.62 inference(transitivity,[status(thm)],[9432, 9430])).
% 3.43/3.62 tff(9434,plain,
% 3.43/3.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.62 inference(quant_inst,[status(thm)],[])).
% 3.43/3.62 tff(9435,plain,
% 3.43/3.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9434, 9433])).
% 3.43/3.62 tff(9436,plain,
% 3.43/3.62 (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9435, 82, 459, 9421])).
% 3.43/3.62 tff(9437,plain,
% 3.43/3.62 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9436, 9429])).
% 3.43/3.62 tff(9438,plain,
% 3.43/3.62 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6226, 9437, 9415])).
% 3.43/3.62 tff(9439,plain,
% 3.43/3.62 ($false),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[7986, 9438, 9427, 6386, 6138, 6387])).
% 3.43/3.62 tff(9440,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~(elem!1 = z)) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.62 tff(9441,plain,
% 3.43/3.62 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9440, 9416, 6386, 6387, 712, 459])).
% 3.43/3.62 tff(9442,plain,
% 3.43/3.62 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6104, 9441, 9420])).
% 3.43/3.62 tff(9443,assumption,(r(s(s(s(s(s(s(elem!1)))))), s(s(z)))), introduced(assumption)).
% 3.43/3.62 tff(9444,plain,
% 3.43/3.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9445,plain,
% 3.43/3.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))))),
% 3.43/3.62 inference(quant_inst,[status(thm)],[])).
% 3.43/3.62 tff(9446,plain,
% 3.43/3.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 3.43/3.62 tff(9447,plain,
% 3.43/3.62 ((~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9446, 82, 71])).
% 3.43/3.62 tff(9448,plain,
% 3.43/3.62 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9447, 9443])).
% 3.43/3.62 tff(9449,plain,
% 3.43/3.62 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6024, 9448])).
% 3.43/3.62 tff(9450,plain,
% 3.43/3.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9451,plain,
% 3.43/3.62 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9452,plain,
% 3.43/3.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z))))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9451])).
% 3.43/3.62 tff(9453,plain,
% 3.43/3.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))))),
% 3.43/3.62 inference(transitivity,[status(thm)],[9452, 9450])).
% 3.43/3.62 tff(9454,plain,
% 3.43/3.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.62 inference(quant_inst,[status(thm)],[])).
% 3.43/3.62 tff(9455,plain,
% 3.43/3.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9454, 9453])).
% 3.43/3.62 tff(9456,plain,
% 3.43/3.62 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(z))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9455, 82, 71])).
% 3.43/3.62 tff(9457,plain,
% 3.43/3.62 (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9456, 9443])).
% 3.43/3.62 tff(9458,plain,
% 3.43/3.62 (b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6011, 9457])).
% 3.43/3.62 tff(9459,plain,
% 3.43/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9460,plain,
% 3.43/3.62 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(9461,plain,
% 3.43/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9460])).
% 3.43/3.62 tff(9462,plain,
% 3.43/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.62 inference(transitivity,[status(thm)],[9461, 9459])).
% 3.43/3.62 tff(9463,plain,
% 3.43/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))))),
% 3.43/3.62 inference(quant_inst,[status(thm)],[])).
% 3.43/3.62 tff(9464,plain,
% 3.43/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 3.43/3.62 tff(9465,plain,
% 3.43/3.62 ($false),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9464, 338, 987, 651, 9458, 7989, 9449, 6107])).
% 3.43/3.62 tff(9466,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.62 tff(9467,plain,
% 3.43/3.62 (~r(s(s(s(s(s(s(elem!1)))))), s(s(z)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9466, 7989, 651, 987, 9442, 71])).
% 3.43/3.62 tff(9468,plain,
% 3.43/3.62 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9467, 9419])).
% 3.43/3.62 tff(9469,plain,
% 3.43/3.62 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6063, 9468, 9417])).
% 3.43/3.62 tff(9470,plain,
% 3.43/3.62 (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[7986, 9469, 6386, 9416, 6387])).
% 3.43/3.62 tff(9471,plain,
% 3.43/3.62 (r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[6226, 9470, 9415])).
% 3.43/3.62 tff(9472,plain,
% 3.43/3.62 (r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))) <=> r(s(s(z)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9428])).
% 3.43/3.62 tff(9473,plain,
% 3.43/3.62 (r(s(s(z)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[6213, 9472])).
% 3.43/3.62 tff(9474,assumption,(~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.43/3.62 tff(9475,plain,
% 3.43/3.62 ($false),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9474, 9473])).
% 3.43/3.62 tff(9476,plain,(r(s(s(z)), s(s(s(s(s(s(elem!1))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.62 tff(9477,plain,
% 3.43/3.62 (r(s(s(z)), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[9476, 9471, 712])).
% 3.43/3.62 tff(9478,plain,
% 3.43/3.62 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(z)), s(s(s(s(z)))))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9298])).
% 3.43/3.62 tff(9479,plain,
% 3.43/3.62 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[2996, 2998])).
% 3.43/3.62 tff(9480,plain,
% 3.43/3.62 (b(s(s(z)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9479])).
% 3.43/3.62 tff(9481,plain,
% 3.43/3.62 ((~b(s(s(z)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(s(s(s(elem!1))))))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9480])).
% 3.43/3.62 tff(9482,plain,
% 3.43/3.62 (b(s(s(s(s(s(s(elem!1)))))), s(s(z))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.43/3.62 inference(monotonicity,[status(thm)],[9199])).
% 3.43/3.62 tff(9483,plain,
% 3.43/3.62 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(z)))),
% 3.43/3.62 inference(symmetry,[status(thm)],[9482])).
% 3.43/3.62 tff(9484,plain,
% 3.43/3.62 (b(s(s(s(s(s(s(elem!1)))))), s(s(z)))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[9469, 9483])).
% 3.43/3.62 tff(9485,plain,
% 3.43/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z)))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9486,plain,
% 3.43/3.63 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z)))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9487,plain,
% 3.43/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z))))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9486])).
% 3.43/3.63 tff(9488,plain,
% 3.43/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z)))))),
% 3.43/3.63 inference(transitivity,[status(thm)],[9487, 9485])).
% 3.43/3.63 tff(9489,plain,
% 3.43/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))))),
% 3.43/3.63 inference(quant_inst,[status(thm)],[])).
% 3.43/3.63 tff(9490,plain,
% 3.43/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9489, 9488])).
% 3.43/3.63 tff(9491,plain,
% 3.43/3.63 ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(z))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9490, 338, 476, 9250, 987, 7989])).
% 3.43/3.63 tff(9492,plain,
% 3.43/3.63 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9491, 9484])).
% 3.43/3.63 tff(9493,plain,
% 3.43/3.63 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9492, 9481])).
% 3.43/3.63 tff(9494,plain,
% 3.43/3.63 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1724, 9493, 3218])).
% 3.43/3.63 tff(9495,plain,
% 3.43/3.63 (r(s(s(z)), s(s(s(s(z)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9494, 9478])).
% 3.43/3.63 tff(9496,assumption,(r(s(s(z)), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.43/3.63 tff(9497,assumption,(r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))), introduced(assumption)).
% 3.43/3.63 tff(9498,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9499,plain,
% 3.43/3.63 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9500,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9499])).
% 3.43/3.63 tff(9501,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.63 inference(transitivity,[status(thm)],[9500, 9498])).
% 3.43/3.63 tff(9502,plain,
% 3.43/3.63 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.63 inference(quant_inst,[status(thm)],[])).
% 3.43/3.63 tff(9503,plain,
% 3.43/3.63 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9502, 9501])).
% 3.43/3.63 tff(9504,plain,
% 3.43/3.63 ($false),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9503, 82, 9497, 575, 9496])).
% 3.43/3.63 tff(9505,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.63 tff(9506,plain,
% 3.43/3.63 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9505, 9495, 9477])).
% 3.43/3.63 tff(9507,plain,
% 3.43/3.63 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[6024, 9506])).
% 3.43/3.63 tff(9508,plain,
% 3.43/3.63 (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9464, 338, 987, 651, 7989, 9507, 9442])).
% 3.43/3.63 tff(9509,plain,
% 3.43/3.63 (r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[6011, 9508])).
% 3.43/3.63 tff(9510,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9511,plain,
% 3.43/3.63 (((~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9512,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9511])).
% 3.43/3.63 tff(9513,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))))),
% 3.43/3.63 inference(transitivity,[status(thm)],[9512, 9510])).
% 3.43/3.63 tff(9514,plain,
% 3.43/3.63 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.43/3.63 inference(quant_inst,[status(thm)],[])).
% 3.43/3.63 tff(9515,plain,
% 3.43/3.63 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(z)), s(s(s(s(s(s(elem!1))))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9514, 9513])).
% 3.43/3.63 tff(9516,plain,
% 3.43/3.63 ($false),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9515, 82, 71, 9509, 9477])).
% 3.43/3.63 tff(9517,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~(elem!1 = z)) | (s(s(elem!1)) = s(s(s(s(elem!1))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.63 tff(9518,plain,
% 3.43/3.63 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9517, 9375, 9394, 9388, 9126, 2120, 9142, 7061, 6387, 9414])).
% 3.43/3.63 tff(9519,plain,
% 3.43/3.63 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[7998, 9518, 9409])).
% 3.43/3.63 tff(9520,plain,
% 3.43/3.63 (z = elem!1),
% 3.43/3.63 inference(symmetry,[status(thm)],[712])).
% 3.43/3.63 tff(9521,plain,
% 3.43/3.63 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9520])).
% 3.43/3.63 tff(9522,plain,
% 3.43/3.63 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.63 inference(transitivity,[status(thm)],[9521, 5922])).
% 3.43/3.63 tff(9523,plain,
% 3.43/3.63 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.43/3.63 inference(transitivity,[status(thm)],[9522, 5923])).
% 3.43/3.63 tff(9524,plain,
% 3.43/3.63 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9523])).
% 3.43/3.63 tff(9525,plain,
% 3.43/3.63 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[5929, 9524])).
% 3.43/3.63 tff(9526,plain,
% 3.43/3.63 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9522])).
% 3.43/3.63 tff(9527,plain,
% 3.43/3.63 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[5929, 9526])).
% 3.43/3.63 tff(9528,plain,
% 3.43/3.63 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[2997])).
% 3.43/3.63 tff(9529,plain,
% 3.43/3.63 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9528])).
% 3.43/3.63 tff(9530,assumption,(r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))), introduced(assumption)).
% 3.43/3.63 tff(9531,plain,
% 3.43/3.63 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 3.43/3.63 tff(9532,plain,
% 3.43/3.63 (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[8177, 9531, 1950, 315, 9527, 9525, 314])).
% 3.43/3.63 tff(9533,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9534,plain,
% 3.43/3.63 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z)))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9535,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9534])).
% 3.43/3.63 tff(9536,plain,
% 3.43/3.63 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))))),
% 3.43/3.63 inference(transitivity,[status(thm)],[9535, 9533])).
% 3.43/3.63 tff(9537,plain,
% 3.43/3.63 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))))),
% 3.43/3.63 inference(quant_inst,[status(thm)],[])).
% 3.43/3.63 tff(9538,plain,
% 3.43/3.63 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(z))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9537, 9536])).
% 3.43/3.63 tff(9539,plain,
% 3.43/3.63 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9538, 82, 406, 9530])).
% 3.43/3.63 tff(9540,plain,
% 3.43/3.63 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[6104, 9539, 9420])).
% 3.43/3.63 tff(9541,plain,
% 3.43/3.63 ($false),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[6111, 9540, 9532, 8808])).
% 3.43/3.63 tff(9542,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | (~r(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~r(s(z), s(s(s(z))))) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.63 tff(9543,plain,
% 3.43/3.63 (~r(s(z), s(s(s(z))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9542, 9519, 9402, 9398, 8721, 9126])).
% 3.43/3.63 tff(9544,plain,
% 3.43/3.63 (b(s(z), s(s(s(z))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[424, 9543])).
% 3.43/3.63 tff(9545,plain,
% 3.43/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9546,plain,
% 3.43/3.63 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(9547,plain,
% 3.43/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9546])).
% 3.43/3.63 tff(9548,plain,
% 3.43/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.43/3.63 inference(transitivity,[status(thm)],[9547, 9545])).
% 3.43/3.63 tff(9549,plain,
% 3.43/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 3.43/3.63 inference(quant_inst,[status(thm)],[])).
% 3.43/3.63 tff(9550,plain,
% 3.43/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9549, 9548])).
% 3.43/3.63 tff(9551,plain,
% 3.43/3.63 ($false),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9550, 338, 9544, 9394, 9388, 9373, 9392])).
% 3.43/3.63 tff(9552,plain,(r(elem!1, z) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | r(s(s(elem!1)), s(s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(s(elem!1))), z) | (s(z) = elem!1) | b(s(s(s(elem!1))), elem!1) | b(elem!1, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.63 tff(9553,plain,
% 3.43/3.63 (r(elem!1, z)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[9552, 8716, 1740, 7059, 7031, 2613, 137, 1382, 691, 7053, 1940])).
% 3.43/3.63 tff(9554,plain,
% 3.43/3.63 (~r(elem!1, s(s(s(elem!1))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[6371, 9553, 7031])).
% 3.43/3.63 tff(9555,plain,
% 3.43/3.63 (elem!1 = s(s(s(elem!1)))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1946, 9554, 1940])).
% 3.43/3.63 tff(9556,plain,
% 3.43/3.63 (s(elem!1) = s(s(s(s(elem!1))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9555])).
% 3.43/3.63 tff(9557,plain,
% 3.43/3.63 (s(s(elem!1)) = s(s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9556])).
% 3.43/3.63 tff(9558,plain,
% 3.43/3.63 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9557])).
% 3.43/3.63 tff(9559,plain,
% 3.43/3.63 (r(s(z), s(s(s(s(s(elem!1)))))) <=> r(s(z), s(s(elem!1)))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9558])).
% 3.43/3.63 tff(9560,plain,
% 3.43/3.63 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9559])).
% 3.43/3.63 tff(9561,plain,
% 3.43/3.63 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9555])).
% 3.43/3.63 tff(9562,plain,
% 3.43/3.63 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), elem!1)),
% 3.43/3.63 inference(symmetry,[status(thm)],[9561])).
% 3.43/3.63 tff(9563,plain,
% 3.43/3.63 (b(s(s(elem!1)), elem!1)),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[7061, 9562])).
% 3.43/3.63 tff(9564,plain,
% 3.43/3.63 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9555])).
% 3.43/3.63 tff(9565,plain,
% 3.43/3.63 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9564])).
% 3.43/3.63 tff(9566,plain,
% 3.43/3.63 (b(elem!1, s(s(elem!1)))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[7059, 9565])).
% 3.43/3.63 tff(9567,plain,
% 3.43/3.63 (~(elem!1 = z)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[6626, 9554, 7031])).
% 3.43/3.63 tff(9568,plain,
% 3.43/3.63 (~(z = elem!1)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[2752, 9567])).
% 3.43/3.63 tff(9569,plain,
% 3.43/3.63 (s(s(s(elem!1))) = elem!1),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1924, 9555])).
% 3.43/3.63 tff(9570,plain,
% 3.43/3.63 (~b(z, elem!1)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[2647, 9569, 2138])).
% 3.43/3.63 tff(9571,plain,
% 3.43/3.63 (r(z, elem!1)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[353, 9570, 9568])).
% 3.43/3.63 tff(9572,plain,
% 3.43/3.63 (~(s(elem!1) = s(z))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1912, 9568])).
% 3.43/3.63 tff(9573,plain,
% 3.43/3.63 (~(s(z) = s(elem!1))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1919, 9572])).
% 3.43/3.63 tff(9574,plain,
% 3.43/3.63 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(elem!1, s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[4013])).
% 3.43/3.63 tff(9575,plain,
% 3.43/3.63 (r(elem!1, s(s(s(s(elem!1))))) <=> r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9574])).
% 3.43/3.63 tff(9576,plain,
% 3.43/3.63 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.43/3.63 inference(symmetry,[status(thm)],[3723])).
% 3.43/3.63 tff(9577,plain,
% 3.43/3.63 (r(elem!1, s(s(s(s(elem!1))))) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[1921, 9576])).
% 3.43/3.63 tff(9578,plain,
% 3.43/3.63 (r(s(s(s(elem!1))), s(elem!1)) <=> r(elem!1, s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9577])).
% 3.43/3.63 tff(9579,plain,
% 3.43/3.63 (s(s(s(elem!1))) = elem!1),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1924, 1921])).
% 3.43/3.63 tff(9580,plain,
% 3.43/3.63 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[8390, 245, 9579])).
% 3.43/3.63 tff(9581,plain,
% 3.43/3.63 (r(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1971, 9580, 222])).
% 3.43/3.63 tff(9582,plain,
% 3.43/3.63 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9581, 9578])).
% 3.43/3.63 tff(9583,plain,
% 3.43/3.63 (r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9582, 9575])).
% 3.43/3.63 tff(9584,plain,
% 3.43/3.63 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[3723])).
% 3.43/3.63 tff(9585,plain,
% 3.43/3.63 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(elem!1)), s(elem!1))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9584])).
% 3.43/3.63 tff(9586,plain,
% 3.43/3.63 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1490, 222])).
% 3.43/3.63 tff(9587,plain,
% 3.43/3.63 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1498, 9586])).
% 3.43/3.63 tff(9588,plain,
% 3.43/3.63 (r(s(elem!1), z) <=> r(s(s(s(s(elem!1)))), z)),
% 3.43/3.63 inference(monotonicity,[status(thm)],[3723])).
% 3.43/3.63 tff(9589,plain,
% 3.43/3.63 ((~r(s(elem!1), z)) <=> (~r(s(s(s(s(elem!1)))), z))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[9588])).
% 3.43/3.63 tff(9590,plain,
% 3.43/3.63 (r(elem!1, s(elem!1))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[252, 245, 5894])).
% 3.43/3.63 tff(9591,plain,
% 3.43/3.63 (~r(s(elem!1), z)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[5187, 9590, 802])).
% 3.43/3.63 tff(9592,plain,
% 3.43/3.63 (~r(s(s(s(s(elem!1)))), z)),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9591, 9589])).
% 3.43/3.63 tff(9593,plain,
% 3.43/3.63 (b(s(s(s(s(elem!1)))), z)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1636, 21, 1633, 9592])).
% 3.43/3.63 tff(9594,plain,
% 3.43/3.63 (b(z, s(elem!1)) <=> b(z, s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[3723])).
% 3.43/3.63 tff(9595,plain,
% 3.43/3.63 (~r(z, s(elem!1))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1673, 9590, 802])).
% 3.43/3.63 tff(9596,plain,
% 3.43/3.63 (b(z, s(elem!1))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[1615, 9595])).
% 3.43/3.63 tff(9597,plain,
% 3.43/3.63 (b(z, s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9596, 9594])).
% 3.43/3.63 tff(9598,plain,
% 3.43/3.63 (r(s(z), s(s(s(s(s(elem!1)))))) <=> r(s(z), s(s(elem!1)))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.63 tff(9599,plain,
% 3.43/3.63 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9598])).
% 3.43/3.63 tff(9600,plain,
% 3.43/3.63 (r(s(z), s(elem!1)) <=> r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[3723])).
% 3.43/3.63 tff(9601,plain,
% 3.43/3.63 (r(s(z), s(s(s(s(elem!1))))) <=> r(s(z), s(elem!1))),
% 3.43/3.63 inference(symmetry,[status(thm)],[9600])).
% 3.43/3.63 tff(9602,plain,
% 3.43/3.63 (b(z, s(s(s(s(s(elem!1)))))) <=> b(z, s(s(elem!1)))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.63 tff(9603,plain,
% 3.43/3.63 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(symmetry,[status(thm)],[9602])).
% 3.43/3.64 tff(9604,plain,
% 3.43/3.64 (b(z, s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[8722, 9603])).
% 3.43/3.64 tff(9605,plain,
% 3.43/3.64 (b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))) <=> b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.64 tff(9606,plain,
% 3.43/3.64 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(symmetry,[status(thm)],[9605])).
% 3.43/3.64 tff(9607,plain,
% 3.43/3.64 (b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[2302, 9606])).
% 3.43/3.64 tff(9608,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9609,plain,
% 3.43/3.64 (((~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9610,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[9609])).
% 3.43/3.64 tff(9611,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(transitivity,[status(thm)],[9610, 9608])).
% 3.43/3.64 tff(9612,plain,
% 3.43/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(quant_inst,[status(thm)],[])).
% 3.43/3.64 tff(9613,plain,
% 3.43/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9612, 9611])).
% 3.43/3.64 tff(9614,plain,
% 3.43/3.64 ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9613, 338, 1701, 1700, 1740])).
% 3.43/3.64 tff(9615,plain,
% 3.43/3.64 (~b(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9614, 9607, 9604])).
% 3.43/3.64 tff(9616,plain,
% 3.43/3.64 (r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[2239, 9615])).
% 3.43/3.64 tff(9617,plain,
% 3.43/3.64 (r(s(z), s(elem!1))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9616, 9601])).
% 3.43/3.64 tff(9618,plain,
% 3.43/3.64 (~r(s(z), s(s(s(elem!1))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[6317, 9617, 2043])).
% 3.43/3.64 tff(9619,plain,
% 3.43/3.64 (b(s(z), s(s(s(elem!1))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1870, 9618])).
% 3.43/3.64 tff(9620,plain,
% 3.43/3.64 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[2043, 9578])).
% 3.43/3.64 tff(9621,plain,
% 3.43/3.64 (r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9620, 9575])).
% 3.43/3.64 tff(9622,plain,
% 3.43/3.64 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9623,plain,
% 3.43/3.64 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.43/3.64 inference(quant_inst,[status(thm)],[])).
% 3.43/3.64 tff(9624,plain,
% 3.43/3.64 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 3.43/3.64 tff(9625,plain,
% 3.43/3.64 ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9624, 82, 9616])).
% 3.43/3.64 tff(9626,plain,
% 3.43/3.64 (~r(s(s(s(elem!1))), s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9625, 9621])).
% 3.43/3.64 tff(9627,plain,
% 3.43/3.64 (b(s(s(s(elem!1))), s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1990, 9626])).
% 3.43/3.64 tff(9628,plain,
% 3.43/3.64 (~b(s(z), s(s(elem!1)))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[7259, 9627, 6387, 6386, 9619])).
% 3.43/3.64 tff(9629,plain,
% 3.43/3.64 (r(s(z), s(s(elem!1)))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[743, 9628])).
% 3.43/3.64 tff(9630,plain,
% 3.43/3.64 (r(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9629, 9599])).
% 3.43/3.64 tff(9631,plain,
% 3.43/3.64 (r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))) <=> r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.64 tff(9632,plain,
% 3.43/3.64 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(symmetry,[status(thm)],[9631])).
% 3.43/3.64 tff(9633,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9634,plain,
% 3.43/3.64 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9635,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[9634])).
% 3.43/3.64 tff(9636,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.43/3.64 inference(transitivity,[status(thm)],[9635, 9633])).
% 3.43/3.64 tff(9637,plain,
% 3.43/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(elem!1)))))),
% 3.43/3.64 inference(quant_inst,[status(thm)],[])).
% 3.43/3.64 tff(9638,plain,
% 3.43/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9637, 9636])).
% 3.43/3.64 tff(9639,plain,
% 3.43/3.64 ((~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9638, 338])).
% 3.43/3.64 tff(9640,plain,
% 3.43/3.64 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9639, 2302, 8722, 1701, 1700])).
% 3.43/3.64 tff(9641,plain,
% 3.43/3.64 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1651, 9640, 1496])).
% 3.43/3.64 tff(9642,plain,
% 3.43/3.64 (r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9641, 9632])).
% 3.43/3.64 tff(9643,plain,
% 3.43/3.64 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9644,plain,
% 3.43/3.64 (((~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(z), s(s(s(s(elem!1))))))) <=> ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9645,plain,
% 3.43/3.64 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[9644])).
% 3.43/3.64 tff(9646,plain,
% 3.43/3.64 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(transitivity,[status(thm)],[9645, 9643])).
% 3.43/3.64 tff(9647,plain,
% 3.43/3.64 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(quant_inst,[status(thm)],[])).
% 3.43/3.64 tff(9648,plain,
% 3.43/3.64 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 3.43/3.64 tff(9649,plain,
% 3.43/3.64 ((~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9648, 82, 9616])).
% 3.43/3.64 tff(9650,plain,
% 3.43/3.64 ($false),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9649, 9642, 9630])).
% 3.43/3.64 tff(9651,plain,((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.64 tff(9652,plain,
% 3.43/3.64 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9651, 9581, 6387, 6386, 1921, 9597, 9593, 1740, 8722, 9586])).
% 3.43/3.64 tff(9653,plain,
% 3.43/3.64 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1724, 9652, 9587])).
% 3.43/3.64 tff(9654,plain,
% 3.43/3.64 (r(s(s(elem!1)), s(elem!1))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9653, 9585])).
% 3.43/3.64 tff(9655,plain,
% 3.43/3.64 (b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.64 tff(9656,plain,
% 3.43/3.64 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(symmetry,[status(thm)],[9655])).
% 3.43/3.64 tff(9657,plain,
% 3.43/3.64 ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) <=> (~r(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[9631])).
% 3.43/3.64 tff(9658,plain,
% 3.43/3.64 (r(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[721, 9599])).
% 3.43/3.64 tff(9659,assumption,(r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))), introduced(assumption)).
% 3.43/3.64 tff(9660,assumption,(r(s(z), s(s(s(s(s(elem!1))))))), introduced(assumption)).
% 3.43/3.64 tff(9661,plain,
% 3.43/3.64 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9662,plain,
% 3.43/3.64 (((~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(z)))) <=> ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9663,plain,
% 3.43/3.64 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[9662])).
% 3.43/3.64 tff(9664,plain,
% 3.43/3.64 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(transitivity,[status(thm)],[9663, 9661])).
% 3.43/3.64 tff(9665,plain,
% 3.43/3.64 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 3.43/3.64 inference(quant_inst,[status(thm)],[])).
% 3.43/3.64 tff(9666,plain,
% 3.43/3.64 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9665, 9664])).
% 3.43/3.64 tff(9667,plain,
% 3.43/3.64 ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9666, 82, 9660])).
% 3.43/3.64 tff(9668,plain,
% 3.43/3.64 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9667, 9659])).
% 3.43/3.64 tff(9669,plain,
% 3.43/3.64 (b(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1585, 9668])).
% 3.43/3.64 tff(9670,plain,
% 3.43/3.64 ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9648, 82, 9660])).
% 3.43/3.64 tff(9671,plain,
% 3.43/3.64 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9670, 9659])).
% 3.43/3.64 tff(9672,plain,
% 3.43/3.64 (b(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[2239, 9671])).
% 3.43/3.64 tff(9673,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9674,plain,
% 3.43/3.64 (((~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9675,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[9674])).
% 3.43/3.64 tff(9676,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(transitivity,[status(thm)],[9675, 9673])).
% 3.43/3.64 tff(9677,plain,
% 3.43/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)))),
% 3.43/3.64 inference(quant_inst,[status(thm)],[])).
% 3.43/3.64 tff(9678,plain,
% 3.43/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9677, 9676])).
% 3.43/3.64 tff(9679,plain,
% 3.43/3.64 ($false),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9678, 338, 1701, 1700, 9672, 9669, 1740])).
% 3.43/3.64 tff(9680,plain,((~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(elem!1)))))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.64 tff(9681,plain,
% 3.43/3.64 (~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9680, 9658, 1700, 1740, 1701])).
% 3.43/3.64 tff(9682,plain,
% 3.43/3.64 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9681, 9657])).
% 3.43/3.64 tff(9683,plain,
% 3.43/3.64 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1651, 9682, 1496])).
% 3.43/3.64 tff(9684,plain,
% 3.43/3.64 (b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9683, 9656])).
% 3.43/3.64 tff(9685,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9686,plain,
% 3.43/3.64 (((~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(9687,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[9686])).
% 3.43/3.64 tff(9688,plain,
% 3.43/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.64 inference(transitivity,[status(thm)],[9687, 9685])).
% 3.43/3.64 tff(9689,plain,
% 3.43/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(quant_inst,[status(thm)],[])).
% 3.43/3.64 tff(9690,plain,
% 3.43/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9689, 9688])).
% 3.43/3.64 tff(9691,plain,
% 3.43/3.64 ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9690, 338, 1701, 1700, 1740])).
% 3.43/3.64 tff(9692,plain,
% 3.43/3.64 (~b(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9691, 9684, 9604])).
% 3.43/3.64 tff(9693,plain,
% 3.43/3.64 (r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[2239, 9692])).
% 3.43/3.64 tff(9694,plain,
% 3.43/3.64 (r(s(z), s(elem!1))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[9693, 9601])).
% 3.43/3.64 tff(9695,plain,
% 3.43/3.64 (~r(s(z), s(elem!1))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[8352, 721, 264])).
% 3.43/3.64 tff(9696,plain,
% 3.43/3.64 ($false),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9695, 9694])).
% 3.43/3.64 tff(9697,plain,((~r(s(z), s(s(elem!1)))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.64 tff(9698,plain,
% 3.43/3.64 (~r(s(z), s(s(elem!1)))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[9697, 9597, 1921, 9593, 1740, 8722, 9586, 9654])).
% 3.43/3.64 tff(9699,plain,
% 3.43/3.64 (b(s(z), s(s(elem!1)))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[743, 9698])).
% 3.43/3.64 tff(9700,plain,
% 3.43/3.64 (b(s(elem!1), z)),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1812, 9591])).
% 3.43/3.64 tff(9701,plain,
% 3.43/3.64 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[1921])).
% 3.43/3.64 tff(9702,plain,
% 3.43/3.64 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), elem!1)),
% 3.43/3.64 inference(symmetry,[status(thm)],[9701])).
% 3.43/3.64 tff(9703,plain,
% 3.43/3.64 (b(s(s(elem!1)), elem!1)),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[6386, 9702])).
% 3.43/3.64 tff(9704,plain,
% 3.43/3.64 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.43/3.64 inference(monotonicity,[status(thm)],[1921])).
% 3.43/3.64 tff(9705,plain,
% 3.43/3.64 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 3.43/3.64 inference(symmetry,[status(thm)],[9704])).
% 3.43/3.64 tff(9706,plain,
% 3.43/3.64 (b(elem!1, s(s(elem!1)))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[6387, 9705])).
% 3.43/3.64 tff(9707,plain,
% 3.43/3.64 (~r(z, s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[8272, 9699, 691, 234, 9706, 9703])).
% 3.43/3.64 tff(9708,plain,
% 3.43/3.64 (b(z, s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[403, 9707])).
% 3.43/3.64 tff(9709,plain,
% 3.43/3.64 (~b(s(z), s(elem!1))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[4302, 9708, 9700, 9596, 1740])).
% 3.43/3.64 tff(9710,plain,
% 3.43/3.64 (r(s(z), s(elem!1))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[3066, 9709, 1949])).
% 3.43/3.64 tff(9711,plain,
% 3.43/3.64 (~r(s(z), s(s(s(elem!1))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[6317, 9710, 9581])).
% 3.43/3.64 tff(9712,plain,
% 3.43/3.64 (b(s(z), s(s(s(elem!1))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1870, 9711])).
% 3.43/3.64 tff(9713,plain,
% 3.43/3.64 (~b(s(s(s(elem!1))), s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[7259, 9712, 6387, 6386, 9699])).
% 3.43/3.64 tff(9714,plain,
% 3.43/3.64 (r(s(s(s(elem!1))), s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[1990, 9713])).
% 3.43/3.64 tff(9715,plain,
% 3.43/3.64 (~b(s(elem!1), s(z))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[7617, 9708, 1740, 802, 9590, 234])).
% 3.43/3.65 tff(9716,plain,
% 3.43/3.65 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[4739, 9715, 9579])).
% 3.43/3.65 tff(9717,plain,
% 3.43/3.65 (r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[1585, 9716])).
% 3.43/3.65 tff(9718,plain,
% 3.43/3.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9719,plain,
% 3.43/3.65 (((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1))))))) <=> ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9720,plain,
% 3.43/3.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z)))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9719])).
% 3.43/3.65 tff(9721,plain,
% 3.43/3.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[9720, 9718])).
% 3.43/3.65 tff(9722,plain,
% 3.43/3.65 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(quant_inst,[status(thm)],[])).
% 3.43/3.65 tff(9723,plain,
% 3.43/3.65 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(elem!1))), s(z)))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 3.43/3.65 tff(9724,plain,
% 3.43/3.65 ($false),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9723, 82, 9717, 9714, 9583])).
% 3.43/3.65 tff(9725,plain,(b(elem!1, s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(z) = s(elem!1)) | (~b(s(z), z)) | (~r(elem!1, z)) | (~r(z, elem!1)) | (s(z) = elem!1) | (~(elem!1 = s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (s(s(s(elem!1))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.65 tff(9726,plain,
% 3.43/3.65 (b(elem!1, s(elem!1))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9725, 9573, 7061, 7059, 1740, 9553, 9571, 691, 9555, 8716, 218])).
% 3.43/3.65 tff(9727,plain,
% 3.43/3.65 (r(elem!1, s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9555])).
% 3.43/3.65 tff(9728,plain,
% 3.43/3.65 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 3.43/3.65 inference(symmetry,[status(thm)],[9727])).
% 3.43/3.65 tff(9729,plain,
% 3.43/3.65 ((~r(s(s(s(elem!1))), s(s(elem!1)))) <=> (~r(elem!1, s(s(elem!1))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9728])).
% 3.43/3.65 tff(9730,plain,
% 3.43/3.65 (~r(elem!1, s(s(elem!1)))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[7050, 9729])).
% 3.43/3.65 tff(9731,plain,
% 3.43/3.65 (r(s(s(elem!1)), elem!1) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9555])).
% 3.43/3.65 tff(9732,plain,
% 3.43/3.65 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(elem!1)), elem!1)),
% 3.43/3.65 inference(symmetry,[status(thm)],[9731])).
% 3.43/3.65 tff(9733,plain,
% 3.43/3.65 ((~r(s(s(elem!1)), s(s(s(elem!1))))) <=> (~r(s(s(elem!1)), elem!1))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9732])).
% 3.43/3.65 tff(9734,plain,
% 3.43/3.65 (~r(s(s(elem!1)), elem!1)),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[2613, 9733])).
% 3.43/3.65 tff(9735,plain,
% 3.43/3.65 (~b(s(elem!1), elem!1)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[346, 316, 137, 323, 317, 315])).
% 3.43/3.65 tff(9736,plain,
% 3.43/3.65 (r(s(elem!1), s(z)) <=> r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3723])).
% 3.43/3.65 tff(9737,plain,
% 3.43/3.65 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(elem!1), s(z))),
% 3.43/3.65 inference(symmetry,[status(thm)],[9736])).
% 3.43/3.65 tff(9738,plain,
% 3.43/3.65 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3723])).
% 3.43/3.65 tff(9739,plain,
% 3.43/3.65 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[316, 9738])).
% 3.43/3.65 tff(9740,plain,
% 3.43/3.65 (b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9739, 9606])).
% 3.43/3.65 tff(9741,plain,
% 3.43/3.65 (b(s(s(s(elem!1))), s(s(s(s(s(elem!1)))))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.65 tff(9742,plain,
% 3.43/3.65 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(symmetry,[status(thm)],[9741])).
% 3.43/3.65 tff(9743,plain,
% 3.43/3.65 (b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[6387, 9742])).
% 3.43/3.65 tff(9744,plain,
% 3.43/3.65 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3723])).
% 3.43/3.65 tff(9745,plain,
% 3.43/3.65 (b(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[8325, 315, 9579])).
% 3.43/3.65 tff(9746,plain,
% 3.43/3.65 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9745, 9744])).
% 3.43/3.65 tff(9747,plain,
% 3.43/3.65 (b(elem!1, s(elem!1))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[252, 8287, 232])).
% 3.43/3.65 tff(9748,plain,
% 3.43/3.65 (b(s(elem!1), elem!1)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[312, 8285, 294])).
% 3.43/3.65 tff(9749,plain,
% 3.43/3.65 ($false),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[346, 9748, 9747, 137, 317, 323, 316])).
% 3.43/3.65 tff(9750,plain,((~r(s(elem!1), z)) | (elem!1 = s(s(elem!1))) | r(elem!1, s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~b(s(s(elem!1)), s(elem!1))) | (~r(z, elem!1)) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.65 tff(9751,plain,
% 3.43/3.65 (~r(s(elem!1), z)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9750, 316, 323, 317, 137, 234, 802])).
% 3.43/3.65 tff(9752,plain,
% 3.43/3.65 (~r(s(s(s(s(elem!1)))), z)),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9751, 9589])).
% 3.43/3.65 tff(9753,plain,
% 3.43/3.65 (b(s(s(s(s(elem!1)))), z)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[1636, 21, 1633, 9752])).
% 3.43/3.65 tff(9754,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9755,plain,
% 3.43/3.65 (((~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1)))))))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9756,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9755])).
% 3.43/3.65 tff(9757,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[9756, 9754])).
% 3.43/3.65 tff(9758,plain,
% 3.43/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(quant_inst,[status(thm)],[])).
% 3.43/3.65 tff(9759,plain,
% 3.43/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 3.43/3.65 tff(9760,plain,
% 3.43/3.65 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9759, 338, 9753, 9746, 1740, 9743, 9740])).
% 3.43/3.65 tff(9761,plain,
% 3.43/3.65 (r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[1585, 9760])).
% 3.43/3.65 tff(9762,plain,
% 3.43/3.65 (r(s(elem!1), s(z))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9761, 9737])).
% 3.43/3.65 tff(9763,plain,
% 3.43/3.65 (~b(s(z), s(s(elem!1)))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[8691, 9762, 9703, 9706, 9735, 691, 9579, 210, 294])).
% 3.43/3.65 tff(9764,plain,
% 3.43/3.65 (r(s(z), s(s(elem!1)))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[743, 9763])).
% 3.43/3.65 tff(9765,plain,
% 3.43/3.65 (r(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9764, 9599])).
% 3.43/3.65 tff(9766,plain,
% 3.43/3.65 (~r(z, s(elem!1))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[7177, 316, 210, 6386, 1353, 6387])).
% 3.43/3.65 tff(9767,plain,
% 3.43/3.65 (b(z, s(elem!1))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[1615, 9766])).
% 3.43/3.65 tff(9768,plain,
% 3.43/3.65 (b(z, s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9767, 9594])).
% 3.43/3.65 tff(9769,plain,
% 3.43/3.65 (~b(s(elem!1), s(s(elem!1)))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[8111, 316, 6387, 6386, 9745])).
% 3.43/3.65 tff(9770,plain,
% 3.43/3.65 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[4697, 9769, 9579])).
% 3.43/3.65 tff(9771,plain,
% 3.43/3.65 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[1651, 9770, 2119])).
% 3.43/3.65 tff(9772,plain,
% 3.43/3.65 (r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9771, 9632])).
% 3.43/3.65 tff(9773,plain,
% 3.43/3.65 (~r(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9680, 9772, 9753, 1740, 9768])).
% 3.43/3.65 tff(9774,plain,
% 3.43/3.65 ($false),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9773, 9765])).
% 3.43/3.65 tff(9775,plain,((~b(s(s(elem!1)), s(elem!1))) | (~(elem!1 = s(s(s(elem!1))))) | (s(z) = elem!1) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1))) | (~b(elem!1, s(elem!1))) | (~r(z, elem!1)) | (~r(elem!1, z)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.65 tff(9776,plain,
% 3.43/3.65 (~b(s(s(elem!1)), s(elem!1))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9775, 9555, 691, 1740, 7059, 7061, 137, 9734, 9730, 9726, 9571, 9553, 7031])).
% 3.43/3.65 tff(9777,plain,
% 3.43/3.65 (r(s(s(elem!1)), s(elem!1))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[277, 9776, 225])).
% 3.43/3.65 tff(9778,plain,
% 3.43/3.65 (b(s(s(s(s(s(elem!1))))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.65 tff(9779,plain,
% 3.43/3.65 (b(s(s(elem!1)), s(z)) <=> b(s(s(s(s(s(elem!1))))), s(z))),
% 3.43/3.65 inference(symmetry,[status(thm)],[9778])).
% 3.43/3.65 tff(9780,plain,
% 3.43/3.65 (r(s(s(s(s(s(elem!1))))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.65 tff(9781,plain,
% 3.43/3.65 ((~r(s(s(s(s(s(elem!1))))), s(z))) <=> (~r(s(s(elem!1)), s(z)))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9780])).
% 3.43/3.65 tff(9782,plain,
% 3.43/3.65 (r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.65 tff(9783,plain,
% 3.43/3.65 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(symmetry,[status(thm)],[9782])).
% 3.43/3.65 tff(9784,plain,
% 3.43/3.65 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[264, 9584])).
% 3.43/3.65 tff(9785,plain,
% 3.43/3.65 (r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 3.43/3.65 tff(9786,plain,
% 3.43/3.65 (b(s(z), s(s(s(s(s(elem!1)))))) <=> b(s(z), s(s(elem!1)))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.65 tff(9787,plain,
% 3.43/3.65 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(symmetry,[status(thm)],[9786])).
% 3.43/3.65 tff(9788,plain,
% 3.43/3.65 (b(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[747, 9787])).
% 3.43/3.65 tff(9789,plain,
% 3.43/3.65 (~r(z, s(z))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[8272, 747, 691, 234, 762, 763])).
% 3.43/3.65 tff(9790,plain,
% 3.43/3.65 (b(z, s(z))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[403, 9789])).
% 3.43/3.65 tff(9791,plain,
% 3.43/3.65 (b(s(s(s(s(s(elem!1))))), z) <=> b(s(s(elem!1)), z)),
% 3.43/3.65 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.65 tff(9792,plain,
% 3.43/3.65 ((~b(s(s(s(s(s(elem!1))))), z)) <=> (~b(s(s(elem!1)), z))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9791])).
% 3.43/3.65 tff(9793,assumption,(b(s(s(s(s(s(elem!1))))), z)), introduced(assumption)).
% 3.43/3.65 tff(9794,assumption,(b(z, s(s(s(s(s(elem!1))))))), introduced(assumption)).
% 3.43/3.65 tff(9795,assumption,(b(s(z), s(s(s(s(s(elem!1))))))), introduced(assumption)).
% 3.43/3.65 tff(9796,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z)))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9797,plain,
% 3.43/3.65 (((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(elem!1))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(elem!1)))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z)))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9798,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(elem!1))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9797])).
% 3.43/3.65 tff(9799,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(elem!1))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z)))),
% 3.43/3.65 inference(transitivity,[status(thm)],[9798, 9796])).
% 3.43/3.65 tff(9800,plain,
% 3.43/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(elem!1))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(quant_inst,[status(thm)],[])).
% 3.43/3.65 tff(9801,plain,
% 3.43/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9800, 9799])).
% 3.43/3.65 tff(9802,plain,
% 3.43/3.65 ($false),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9801, 338, 486, 1740, 9795, 9794, 9793])).
% 3.43/3.65 tff(9803,plain,((~b(s(s(s(s(s(elem!1))))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1)))))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.65 tff(9804,plain,
% 3.43/3.65 (~b(s(s(s(s(s(elem!1))))), z)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9803, 9790, 1740, 9788, 9604])).
% 3.43/3.65 tff(9805,plain,
% 3.43/3.65 (~b(s(s(elem!1)), z)),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9804, 9792])).
% 3.43/3.65 tff(9806,plain,
% 3.43/3.65 (r(s(s(elem!1)), z)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[800, 9805])).
% 3.43/3.65 tff(9807,plain,
% 3.43/3.65 (~r(s(elem!1), z)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[5958, 9806, 264])).
% 3.43/3.65 tff(9808,plain,
% 3.43/3.65 (~r(s(s(s(s(elem!1)))), z)),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9807, 9589])).
% 3.43/3.65 tff(9809,plain,
% 3.43/3.65 (b(s(s(s(s(elem!1)))), z)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[1636, 21, 1633, 9808])).
% 3.43/3.65 tff(9810,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9811,plain,
% 3.43/3.65 (((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1))))))) <=> ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9812,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1)))))))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9811])).
% 3.43/3.65 tff(9813,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[9812, 9810])).
% 3.43/3.65 tff(9814,plain,
% 3.43/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(quant_inst,[status(thm)],[])).
% 3.43/3.65 tff(9815,plain,
% 3.43/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 3.43/3.65 tff(9816,plain,
% 3.43/3.65 (~b(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9815, 338, 9809, 9790, 1740, 9788, 9604])).
% 3.43/3.65 tff(9817,plain,
% 3.43/3.65 (r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[2239, 9816])).
% 3.43/3.65 tff(9818,plain,
% 3.43/3.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9819,plain,
% 3.43/3.65 (((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z)))) <=> ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9820,plain,
% 3.43/3.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9819])).
% 3.43/3.65 tff(9821,plain,
% 3.43/3.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[9820, 9818])).
% 3.43/3.65 tff(9822,plain,
% 3.43/3.65 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))))),
% 3.43/3.65 inference(quant_inst,[status(thm)],[])).
% 3.43/3.65 tff(9823,plain,
% 3.43/3.65 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 3.43/3.65 tff(9824,plain,
% 3.43/3.65 (~r(s(s(s(s(s(elem!1))))), s(z))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9823, 82, 9817, 9785])).
% 3.43/3.65 tff(9825,plain,
% 3.43/3.65 (~r(s(s(elem!1)), s(z))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9824, 9781])).
% 3.43/3.65 tff(9826,plain,
% 3.43/3.65 (b(s(s(elem!1)), s(z))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[784, 9825])).
% 3.43/3.65 tff(9827,plain,
% 3.43/3.65 (b(s(s(s(s(s(elem!1))))), s(z))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9826, 9779])).
% 3.43/3.65 tff(9828,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9829,plain,
% 3.43/3.65 (((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(elem!1)))))))) <=> ((~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(9830,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1)))))))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[9829])).
% 3.43/3.65 tff(9831,plain,
% 3.43/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[9830, 9828])).
% 3.43/3.65 tff(9832,plain,
% 3.43/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(elem!1))))))))),
% 3.43/3.65 inference(quant_inst,[status(thm)],[])).
% 3.43/3.65 tff(9833,plain,
% 3.43/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1)))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[9832, 9831])).
% 3.43/3.65 tff(9834,plain,
% 3.43/3.65 ($false),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9833, 338, 9790, 1740, 9788, 9604, 9827])).
% 3.43/3.65 tff(9835,plain,((~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (s(z) = elem!1) | (~r(z, elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.65 tff(9836,plain,
% 3.43/3.65 (~b(s(z), s(s(elem!1)))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[9835, 9555, 1740, 9777, 8716, 691, 9571, 9566, 9563])).
% 3.43/3.65 tff(9837,plain,
% 3.43/3.65 (r(s(z), s(s(elem!1)))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[743, 9836])).
% 3.43/3.66 tff(9838,plain,
% 3.43/3.66 (r(s(z), s(s(s(s(s(elem!1))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9837, 9560])).
% 3.43/3.66 tff(9839,plain,
% 3.43/3.66 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9556])).
% 3.43/3.66 tff(9840,plain,
% 3.43/3.66 (b(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[8325, 9726, 9569])).
% 3.43/3.66 tff(9841,plain,
% 3.43/3.66 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9840, 9839])).
% 3.43/3.66 tff(9842,plain,
% 3.43/3.66 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9556])).
% 3.43/3.66 tff(9843,plain,
% 3.43/3.66 (r(s(elem!1), elem!1) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9555])).
% 3.43/3.66 tff(9844,plain,
% 3.43/3.66 (r(s(elem!1), elem!1) <=> r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9843, 9842])).
% 3.43/3.66 tff(9845,plain,
% 3.43/3.66 ((~r(s(elem!1), elem!1)) <=> (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9844])).
% 3.43/3.66 tff(9846,plain,
% 3.43/3.66 (~r(s(z), s(elem!1))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[8352, 9837, 9777])).
% 3.43/3.66 tff(9847,plain,
% 3.43/3.66 (b(s(z), s(elem!1))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[3066, 9846, 9573])).
% 3.43/3.66 tff(9848,plain,
% 3.43/3.66 (~r(s(z), elem!1)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[3145, 1731, 234])).
% 3.43/3.66 tff(9849,plain,
% 3.43/3.66 (b(s(z), elem!1)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[701, 9848, 691])).
% 3.43/3.66 tff(9850,plain,
% 3.43/3.66 (~r(elem!1, s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[8266, 1731, 234])).
% 3.43/3.66 tff(9851,plain,
% 3.43/3.66 (b(elem!1, s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[819, 9850, 697])).
% 3.43/3.66 tff(9852,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9853,plain,
% 3.43/3.66 (((~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(elem!1)))) <=> ((~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9854,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9853])).
% 3.43/3.66 tff(9855,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9854, 9852])).
% 3.43/3.66 tff(9856,plain,
% 3.43/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(elem!1))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(9857,plain,
% 3.43/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9856, 9855])).
% 3.43/3.66 tff(9858,plain,
% 3.43/3.66 ($false),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9857, 338, 315, 706, 831, 3084, 3083])).
% 3.43/3.66 tff(9859,plain,((~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(elem!1, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.66 tff(9860,plain,
% 3.43/3.66 (~b(s(elem!1), s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9859, 9851, 315, 3083, 9849])).
% 3.43/3.66 tff(9861,plain,
% 3.43/3.66 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[4739, 9860, 9579])).
% 3.43/3.66 tff(9862,plain,
% 3.43/3.66 (r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1585, 9861])).
% 3.43/3.66 tff(9863,plain,
% 3.43/3.66 (~r(s(elem!1), z)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[4754, 9862, 9579, 1731])).
% 3.43/3.66 tff(9864,plain,
% 3.43/3.66 (~r(s(s(s(s(elem!1)))), z)),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9863, 9589])).
% 3.43/3.66 tff(9865,plain,
% 3.43/3.66 (b(s(s(s(s(elem!1)))), z)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1636, 21, 1633, 9864])).
% 3.43/3.66 tff(9866,plain,
% 3.43/3.66 (~b(z, s(s(s(s(elem!1)))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9697, 9865, 1921, 264, 1740, 8722, 1496, 721])).
% 3.43/3.66 tff(9867,plain,
% 3.43/3.66 (r(z, s(s(s(s(elem!1)))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1698, 9866])).
% 3.43/3.66 tff(9868,plain,
% 3.43/3.66 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9869,plain,
% 3.43/3.66 (((~r(s(s(s(s(elem!1)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(elem!1))))))) <=> ((~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9870,plain,
% 3.43/3.66 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z)))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9869])).
% 3.43/3.66 tff(9871,plain,
% 3.43/3.66 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9870, 9868])).
% 3.43/3.66 tff(9872,plain,
% 3.43/3.66 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(elem!1)))))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(9873,plain,
% 3.43/3.66 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9872, 9871])).
% 3.43/3.66 tff(9874,plain,
% 3.43/3.66 ($false),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9873, 82, 9862, 9867, 1731])).
% 3.43/3.66 tff(9875,plain,((~r(z, s(z))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | (s(z) = elem!1) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.66 tff(9876,plain,
% 3.43/3.66 (~r(z, s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9875, 9555, 9777, 1740, 8716, 2119, 9837, 9726, 9847, 691, 9571])).
% 3.43/3.66 tff(9877,plain,
% 3.43/3.66 (b(z, s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[403, 9876])).
% 3.43/3.66 tff(9878,plain,
% 3.43/3.66 (~r(s(elem!1), elem!1)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[4304, 9847, 9877, 1740, 9571])).
% 3.43/3.66 tff(9879,plain,
% 3.43/3.66 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9878, 9845])).
% 3.43/3.66 tff(9880,plain,
% 3.43/3.66 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1560, 21, 2181, 9879])).
% 3.43/3.66 tff(9881,plain,
% 3.43/3.66 ((s(s(s(z))) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 3.43/3.66 inference(commutativity,[status(thm)],[])).
% 3.43/3.66 tff(9882,plain,
% 3.43/3.66 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9555])).
% 3.43/3.66 tff(9883,plain,
% 3.43/3.66 ((s(s(s(z))) = elem!1) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9882, 9881])).
% 3.43/3.66 tff(9884,plain,
% 3.43/3.66 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 3.43/3.66 inference(symmetry,[status(thm)],[9883])).
% 3.43/3.66 tff(9885,plain,
% 3.43/3.66 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9884, 1052])).
% 3.43/3.66 tff(9886,plain,
% 3.43/3.66 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9885])).
% 3.43/3.66 tff(9887,plain,
% 3.43/3.66 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[3121, 9572])).
% 3.43/3.66 tff(9888,plain,
% 3.43/3.66 (~(elem!1 = s(s(s(z))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9887, 9886])).
% 3.43/3.66 tff(9889,plain,
% 3.43/3.66 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9884])).
% 3.43/3.66 tff(9890,plain,
% 3.43/3.66 (~(s(s(s(z))) = elem!1)),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9887, 9889])).
% 3.43/3.66 tff(9891,plain,
% 3.43/3.66 (b(s(elem!1), elem!1)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[312, 9878, 294])).
% 3.43/3.66 tff(9892,plain,
% 3.43/3.66 (r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))) <=> r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9558])).
% 3.43/3.66 tff(9893,plain,
% 3.43/3.66 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.66 inference(symmetry,[status(thm)],[9892])).
% 3.43/3.66 tff(9894,plain,
% 3.43/3.66 (b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[2301, 9656])).
% 3.43/3.66 tff(9895,plain,
% 3.43/3.66 (b(s(s(s(s(s(elem!1))))), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[3725])).
% 3.43/3.66 tff(9896,plain,
% 3.43/3.66 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))),
% 3.43/3.66 inference(symmetry,[status(thm)],[9895])).
% 3.43/3.66 tff(9897,plain,
% 3.43/3.66 (b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[6386, 9896])).
% 3.43/3.66 tff(9898,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9899,plain,
% 3.43/3.66 (((~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9900,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9899])).
% 3.43/3.66 tff(9901,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9900, 9898])).
% 3.43/3.66 tff(9902,plain,
% 3.43/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(9903,plain,
% 3.43/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9902, 9901])).
% 3.43/3.66 tff(9904,plain,
% 3.43/3.66 ((~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9903, 338, 2208, 7528])).
% 3.43/3.66 tff(9905,plain,
% 3.43/3.66 ($false),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9904, 9743, 9897, 9894])).
% 3.43/3.66 tff(9906,plain,((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.66 tff(9907,plain,
% 3.43/3.66 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9906, 9880, 9841, 9555, 7059, 7061])).
% 3.43/3.66 tff(9908,plain,
% 3.43/3.66 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1651, 9907, 2119])).
% 3.43/3.66 tff(9909,plain,
% 3.43/3.66 (r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9908, 9893])).
% 3.43/3.66 tff(9910,plain,
% 3.43/3.66 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9666, 82, 9909, 9838])).
% 3.43/3.66 tff(9911,plain,
% 3.43/3.66 (b(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1585, 9910])).
% 3.43/3.66 tff(9912,plain,
% 3.43/3.66 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9648, 82, 9909, 9838])).
% 3.43/3.66 tff(9913,plain,
% 3.43/3.66 (b(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[2239, 9912])).
% 3.43/3.66 tff(9914,plain,
% 3.43/3.66 (b(s(z), elem!1) <=> b(s(z), s(s(s(elem!1))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9555])).
% 3.43/3.66 tff(9915,plain,
% 3.43/3.66 (b(s(z), s(s(s(elem!1)))) <=> b(s(z), elem!1)),
% 3.43/3.66 inference(symmetry,[status(thm)],[9914])).
% 3.43/3.66 tff(9916,plain,
% 3.43/3.66 ((~b(s(z), s(s(s(elem!1))))) <=> (~b(s(z), elem!1))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9915])).
% 3.43/3.66 tff(9917,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9918,plain,
% 3.43/3.66 (((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9919,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9918])).
% 3.43/3.66 tff(9920,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9919, 9917])).
% 3.43/3.66 tff(9921,plain,
% 3.43/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(elem!1))))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(9922,plain,
% 3.43/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 3.43/3.66 tff(9923,plain,
% 3.43/3.66 ($false),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9922, 338, 2208, 7419, 1589, 7528, 1880])).
% 3.43/3.66 tff(9924,plain,((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.66 tff(9925,plain,
% 3.43/3.66 (~b(s(z), s(s(s(elem!1))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9924, 9913, 9880, 9911, 9841])).
% 3.43/3.66 tff(9926,plain,
% 3.43/3.66 (~b(s(z), elem!1)),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9925, 9916])).
% 3.43/3.66 tff(9927,plain,
% 3.43/3.66 (r(s(z), elem!1)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[701, 9926, 691])).
% 3.43/3.66 tff(9928,plain,
% 3.43/3.66 (~r(elem!1, s(s(s(z))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[3408, 9927, 9571, 9553, 1740])).
% 3.43/3.66 tff(9929,plain,
% 3.43/3.66 (b(elem!1, s(s(s(z))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1160, 9928, 9888])).
% 3.43/3.66 tff(9930,plain,
% 3.43/3.66 (~r(s(s(s(z))), elem!1)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[3164, 9927, 9571])).
% 3.43/3.66 tff(9931,plain,
% 3.43/3.66 (b(s(s(s(z))), elem!1)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1110, 9930, 9890])).
% 3.43/3.66 tff(9932,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9933,plain,
% 3.43/3.66 (((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(9934,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z)))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[9933])).
% 3.43/3.66 tff(9935,plain,
% 3.43/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9934, 9932])).
% 3.43/3.66 tff(9936,plain,
% 3.43/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(9937,plain,
% 3.43/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[9936, 9935])).
% 3.43/3.66 tff(9938,plain,
% 3.43/3.66 ((~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), s(z)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9937, 338, 7419, 1589, 9746, 486])).
% 3.43/3.66 tff(9939,plain,
% 3.43/3.66 (~b(s(s(s(elem!1))), s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[9938, 1700])).
% 3.43/3.66 tff(9940,plain,
% 3.43/3.66 (r(s(s(s(elem!1))), s(z))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[1990, 9939])).
% 3.43/3.66 tff(9941,plain,
% 3.43/3.66 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[1921])).
% 3.43/3.66 tff(9942,plain,
% 3.43/3.66 ((s(s(s(z))) = elem!1) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 3.43/3.66 inference(transitivity,[status(thm)],[9941, 9881])).
% 3.43/3.67 tff(9943,plain,
% 3.43/3.67 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 3.43/3.67 inference(symmetry,[status(thm)],[9942])).
% 3.43/3.67 tff(9944,plain,
% 3.43/3.67 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9943])).
% 3.43/3.67 tff(9945,plain,
% 3.43/3.67 (~(s(s(s(z))) = elem!1)),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[3301, 9944])).
% 3.43/3.67 tff(9946,plain,
% 3.43/3.67 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[8241, 9945])).
% 3.43/3.67 tff(9947,plain,
% 3.43/3.67 (~b(z, s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[9697, 1700, 1921, 264, 1740, 8722, 1496, 721])).
% 3.43/3.67 tff(9948,plain,
% 3.43/3.67 (r(z, s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1698, 9947])).
% 3.43/3.67 tff(9949,plain,
% 3.43/3.67 (r(s(s(s(s(z)))), s(s(s(s(elem!1))))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9576])).
% 3.43/3.67 tff(9950,plain,
% 3.43/3.67 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(symmetry,[status(thm)],[9949])).
% 3.43/3.67 tff(9951,plain,
% 3.43/3.67 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.43/3.67 inference(transitivity,[status(thm)],[3728, 3722])).
% 3.43/3.67 tff(9952,plain,
% 3.43/3.67 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9951])).
% 3.43/3.67 tff(9953,plain,
% 3.43/3.67 (~(elem!1 = s(s(s(s(z)))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[3187, 9952])).
% 3.43/3.67 tff(9954,plain,
% 3.43/3.67 (~b(s(s(s(s(z)))), s(elem!1))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[8621, 1122, 802, 315, 9953, 3731, 314])).
% 3.43/3.67 tff(9955,plain,
% 3.43/3.67 (r(s(s(s(s(z)))), s(elem!1))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[4914, 9954, 4864])).
% 3.43/3.67 tff(9956,plain,
% 3.43/3.67 (r(s(s(s(s(z)))), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[9955, 9950])).
% 3.43/3.67 tff(9957,plain,
% 3.43/3.67 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(9958,plain,
% 3.43/3.67 (((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(9959,plain,
% 3.43/3.67 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1))))))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9958])).
% 3.43/3.67 tff(9960,plain,
% 3.43/3.67 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(transitivity,[status(thm)],[9959, 9957])).
% 3.43/3.67 tff(9961,plain,
% 3.43/3.67 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(9962,plain,
% 3.43/3.67 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1))))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 3.43/3.67 tff(9963,plain,
% 3.43/3.67 ($false),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[9962, 82, 1678, 1122, 9956])).
% 3.43/3.67 tff(9964,plain,((~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(elem!1)))))) | (~(elem!1 = s(s(s(elem!1))))) | (s(s(s(s(z)))) = s(elem!1)) | (~r(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.67 tff(9965,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[9964, 9948, 1921, 9946, 802, 315, 314])).
% 3.43/3.67 tff(9966,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[127, 9965])).
% 3.43/3.67 tff(9967,plain,
% 3.43/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(9968,plain,
% 3.43/3.67 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z))) <=> ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(9969,plain,
% 3.43/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9968])).
% 3.43/3.67 tff(9970,plain,
% 3.43/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.43/3.67 inference(transitivity,[status(thm)],[9969, 9967])).
% 3.43/3.67 tff(9971,plain,
% 3.43/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(9972,plain,
% 3.43/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[9971, 9970])).
% 3.43/3.67 tff(9973,plain,
% 3.43/3.67 (~b(s(z), s(s(s(s(z)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[9972, 338, 1700, 1589, 486, 1740, 9966])).
% 3.43/3.67 tff(9974,plain,
% 3.43/3.67 (r(s(z), s(s(s(s(z)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[106, 9973])).
% 3.43/3.67 tff(9975,plain,
% 3.43/3.67 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.43/3.67 inference(transitivity,[status(thm)],[9943, 1052])).
% 3.43/3.67 tff(9976,plain,
% 3.43/3.67 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9975])).
% 3.43/3.67 tff(9977,plain,
% 3.43/3.67 (~(elem!1 = s(s(s(z))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[3301, 9976])).
% 3.43/3.67 tff(9978,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[2949, 9974, 754])).
% 3.43/3.67 tff(9979,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1144, 9978, 3731])).
% 3.43/3.67 tff(9980,plain,
% 3.43/3.67 (b(elem!1, s(z)) <=> b(s(s(s(elem!1))), s(z))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[1921])).
% 3.43/3.67 tff(9981,plain,
% 3.43/3.67 (b(s(s(s(elem!1))), s(z)) <=> b(elem!1, s(z))),
% 3.43/3.67 inference(symmetry,[status(thm)],[9980])).
% 3.43/3.67 tff(9982,plain,
% 3.43/3.67 ((~b(s(s(s(elem!1))), s(z))) <=> (~b(elem!1, s(z)))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9981])).
% 3.43/3.67 tff(9983,plain,
% 3.43/3.67 (~b(elem!1, s(z))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[9939, 9982])).
% 3.43/3.67 tff(9984,plain,
% 3.43/3.67 (r(elem!1, s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[819, 9983, 720])).
% 3.43/3.67 tff(9985,plain,
% 3.43/3.67 ((s(s(s(z))) = s(s(s(s(elem!1))))) <=> (s(s(s(z))) = s(elem!1))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9576])).
% 3.43/3.67 tff(9986,plain,
% 3.43/3.67 ((s(s(s(z))) = s(elem!1)) <=> (s(s(s(z))) = s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(symmetry,[status(thm)],[9985])).
% 3.43/3.67 tff(9987,plain,
% 3.43/3.67 ((~(s(s(s(z))) = s(elem!1))) <=> (~(s(s(s(z))) = s(s(s(s(elem!1))))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[9986])).
% 3.43/3.67 tff(9988,plain,
% 3.43/3.67 (~(s(elem!1) = s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3655, 9579])).
% 3.43/3.67 tff(9989,plain,
% 3.43/3.67 (~(s(s(s(z))) = s(elem!1))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3985, 9988])).
% 3.43/3.67 tff(9990,plain,
% 3.43/3.67 (~(s(s(s(z))) = s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[9989, 9987])).
% 3.43/3.67 tff(9991,plain,
% 3.43/3.67 (~b(s(s(s(s(z)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3849, 457, 1740, 486, 1130, 175, 2380, 2381])).
% 3.43/3.67 tff(9992,plain,
% 3.43/3.67 (r(s(s(s(s(z)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[119, 9991])).
% 3.43/3.67 tff(9993,plain,
% 3.43/3.67 (~r(s(s(s(z))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3716, 9992, 803, 1130, 1050, 2380])).
% 3.43/3.67 tff(9994,plain,
% 3.43/3.67 (b(s(s(s(z))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[437, 9993])).
% 3.43/3.67 tff(9995,plain,
% 3.43/3.67 (~b(s(s(s(z))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1749, 9994, 1740, 486, 457])).
% 3.43/3.67 tff(9996,plain,
% 3.43/3.67 (r(s(s(s(z))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[135, 9995])).
% 3.43/3.67 tff(9997,plain,
% 3.43/3.67 (~r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1760, 9996, 1678])).
% 3.43/3.67 tff(9998,plain,
% 3.43/3.67 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(elem!1))))) | b(s(s(s(z))), s(s(s(s(elem!1))))) | r(s(s(s(z))), s(s(s(s(elem!1))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(elem!1))))) | b(s(s(s(z))), s(s(s(s(elem!1))))) | r(s(s(s(z))), s(s(s(s(elem!1))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(9999,plain,
% 3.43/3.67 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(elem!1))))) | b(s(s(s(z))), s(s(s(s(elem!1))))) | r(s(s(s(z))), s(s(s(s(elem!1))))))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(10000,plain,
% 3.43/3.67 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(elem!1))))) | b(s(s(s(z))), s(s(s(s(elem!1))))) | r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[9999, 9998])).
% 3.43/3.67 tff(10001,plain,
% 3.43/3.67 ((s(s(s(z))) = s(s(s(s(elem!1))))) | b(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10000, 21, 9997])).
% 3.43/3.67 tff(10002,plain,
% 3.43/3.67 (b(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10001, 9990])).
% 3.43/3.67 tff(10003,plain,
% 3.43/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(10004,plain,
% 3.43/3.67 (((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(10005,plain,
% 3.43/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1))))))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[10004])).
% 3.43/3.67 tff(10006,plain,
% 3.43/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(transitivity,[status(thm)],[10005, 10003])).
% 3.43/3.67 tff(10007,plain,
% 3.43/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(z))))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(10008,plain,
% 3.43/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1))))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[10007, 10006])).
% 3.43/3.67 tff(10009,plain,
% 3.43/3.67 ($false),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10008, 338, 1700, 7419, 1589, 486, 9994, 10002])).
% 3.43/3.67 tff(10010,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~r(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (elem!1 = s(s(s(z)))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.67 tff(10011,plain,
% 3.43/3.67 (~b(s(z), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10010, 1700, 7419, 1589, 486, 1921, 9948, 1740, 9984, 9979, 9977, 2380, 9966, 2381])).
% 3.43/3.67 tff(10012,plain,
% 3.43/3.67 (r(s(z), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[424, 10011])).
% 3.43/3.67 tff(10013,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[4106, 10012, 9974])).
% 3.43/3.67 tff(10014,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1011, 10013])).
% 3.43/3.67 tff(10015,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3449, 10012, 9974, 754, 9979, 9977, 2380])).
% 3.43/3.67 tff(10016,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[119, 10015])).
% 3.43/3.67 tff(10017,plain,
% 3.43/3.67 ($false),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3853, 10016, 10014, 486, 1740, 2380, 2381, 754, 3301, 9940, 1921, 1301])).
% 3.43/3.67 tff(10018,plain,((~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~r(s(z), elem!1)) | (s(s(s(elem!1))) = s(s(s(z)))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~r(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (elem!1 = s(z)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.67 tff(10019,plain,
% 3.43/3.67 (~b(s(s(s(s(elem!1)))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10018, 9877, 1740, 9931, 9929, 9927, 9887, 9555, 7062, 9913, 9911, 9553, 9726, 9891, 697, 9777, 8716, 2119, 9837])).
% 3.43/3.67 tff(10020,plain,
% 3.43/3.67 (r(s(s(s(s(elem!1)))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1638, 10019])).
% 3.43/3.67 tff(10021,plain,
% 3.43/3.67 (~b(s(elem!1), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[4692, 10019, 9555])).
% 3.43/3.67 tff(10022,plain,
% 3.43/3.67 (r(s(elem!1), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1812, 10021])).
% 3.43/3.67 tff(10023,plain,
% 3.43/3.67 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[8241, 9890])).
% 3.43/3.67 tff(10024,plain,
% 3.43/3.67 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(10025,plain,
% 3.43/3.67 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(10026,plain,
% 3.43/3.67 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1))))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[10025, 10024])).
% 3.43/3.67 tff(10027,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10026, 82, 1654, 1122])).
% 3.43/3.67 tff(10028,plain,
% 3.43/3.67 ($false),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10027, 9956])).
% 3.43/3.67 tff(10029,plain,((~r(s(s(s(s(z)))), z)) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), z)) | (s(s(s(s(z)))) = s(elem!1)) | (~r(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.67 tff(10030,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10029, 10020, 9555, 10023, 9553, 9726, 9891])).
% 3.43/3.67 tff(10031,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[127, 10030])).
% 3.43/3.67 tff(10032,plain,
% 3.43/3.67 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[9666, 82, 9659, 9660])).
% 3.43/3.67 tff(10033,plain,
% 3.43/3.67 (b(s(s(s(s(elem!1)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1585, 10032])).
% 3.43/3.67 tff(10034,plain,
% 3.43/3.67 (b(s(elem!1), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[4739, 10033, 9579])).
% 3.43/3.67 tff(10035,plain,
% 3.43/3.67 (b(s(z), elem!1) <=> b(s(z), s(s(s(elem!1))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[1921])).
% 3.43/3.67 tff(10036,plain,
% 3.43/3.67 (b(s(z), s(s(s(elem!1)))) <=> b(s(z), elem!1)),
% 3.43/3.67 inference(symmetry,[status(thm)],[10035])).
% 3.43/3.67 tff(10037,plain,
% 3.43/3.67 ((~b(s(z), s(s(s(elem!1))))) <=> (~b(s(z), elem!1))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[10036])).
% 3.43/3.67 tff(10038,plain,
% 3.43/3.67 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[9648, 82, 9659, 9660])).
% 3.43/3.67 tff(10039,plain,
% 3.43/3.67 (b(s(z), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[2239, 10038])).
% 3.43/3.67 tff(10040,plain,
% 3.43/3.67 (~b(s(z), s(s(s(elem!1))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[9924, 10039, 2208, 10033, 7528])).
% 3.43/3.67 tff(10041,plain,
% 3.43/3.67 (~b(s(z), elem!1)),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[10040, 10037])).
% 3.43/3.67 tff(10042,plain,
% 3.43/3.67 (r(s(z), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[701, 10041, 691])).
% 3.43/3.67 tff(10043,plain,
% 3.43/3.67 (~r(elem!1, s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3408, 754, 234, 802, 1740])).
% 3.43/3.67 tff(10044,plain,
% 3.43/3.67 (b(elem!1, s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1160, 10043, 1050])).
% 3.43/3.67 tff(10045,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[2949, 754, 72])).
% 3.43/3.67 tff(10046,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1144, 10045, 1039])).
% 3.43/3.67 tff(10047,plain,
% 3.43/3.67 (~r(s(s(s(z))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3164, 754, 234])).
% 3.43/3.67 tff(10048,plain,
% 3.43/3.67 (b(s(s(s(z))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1110, 10047, 1103])).
% 3.43/3.67 tff(10049,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[5497, 10048, 10046, 10044, 72, 1740, 3993, 1815, 486, 3084, 754, 1050])).
% 3.43/3.67 tff(10050,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[119, 10049])).
% 3.43/3.67 tff(10051,plain,
% 3.43/3.67 (~b(s(z), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3849, 10050, 1740, 486, 175, 10046, 10048, 10044])).
% 3.43/3.67 tff(10052,plain,
% 3.43/3.67 (r(s(z), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[424, 10051])).
% 3.43/3.67 tff(10053,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[4106, 10052, 72])).
% 3.43/3.67 tff(10054,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1011, 10053])).
% 3.43/3.67 tff(10055,plain,
% 3.43/3.67 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[2389, 10054, 10048, 10046, 10044])).
% 3.43/3.67 tff(10056,plain,
% 3.43/3.67 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[689, 10055])).
% 3.43/3.67 tff(10057,plain,
% 3.43/3.67 ($false),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3447, 82, 10052, 72, 10056])).
% 3.43/3.67 tff(10058,plain,((~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(z))) = s(elem!1)) | (~r(s(elem!1), z)) | (~b(s(elem!1), s(z))) | (elem!1 = s(s(s(z)))) | (s(s(s(s(z)))) = elem!1) | (s(s(s(z))) = elem!1) | (~r(z, elem!1)) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.67 tff(10059,plain,
% 3.43/3.67 (~r(s(z), s(s(s(s(z)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10058, 10042, 1740, 486, 175, 9989, 1815, 10034, 1050, 3731, 1103, 234, 802])).
% 3.43/3.67 tff(10060,plain,
% 3.43/3.67 (b(s(z), s(s(s(s(z)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[106, 10059])).
% 3.43/3.67 tff(10061,plain,
% 3.43/3.67 (~r(elem!1, s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3408, 10042, 234, 802, 1740])).
% 3.43/3.67 tff(10062,plain,
% 3.43/3.67 (b(elem!1, s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1160, 10061, 1050])).
% 3.43/3.67 tff(10063,plain,
% 3.43/3.67 (~b(s(s(s(s(z)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3204, 10060, 1740, 486, 175])).
% 3.43/3.67 tff(10064,plain,
% 3.43/3.67 (r(s(s(s(s(z)))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[119, 10063])).
% 3.43/3.67 tff(10065,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3417, 10064, 10042])).
% 3.43/3.67 tff(10066,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1144, 10065, 3731])).
% 3.43/3.67 tff(10067,plain,
% 3.43/3.67 (~r(s(s(s(z))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[3164, 10042, 234])).
% 3.43/3.67 tff(10068,plain,
% 3.43/3.67 (b(s(s(s(z))), elem!1)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1110, 10067, 1103])).
% 3.43/3.67 tff(10069,plain,
% 3.43/3.67 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[5557, 10064, 1740, 9989, 1815, 486, 10034])).
% 3.43/3.67 tff(10070,plain,
% 3.43/3.67 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[1011, 10069])).
% 3.43/3.67 tff(10071,plain,
% 3.43/3.67 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[2389, 10070, 10068, 10066, 10062])).
% 3.43/3.67 tff(10072,plain,
% 3.43/3.67 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[689, 10071])).
% 3.43/3.67 tff(10073,plain,
% 3.43/3.67 (~r(s(s(s(z))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[7735, 10072, 486, 1740, 175])).
% 3.43/3.67 tff(10074,plain,
% 3.43/3.67 (b(s(s(s(z))), s(z))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[437, 10073])).
% 3.43/3.67 tff(10075,plain,
% 3.43/3.67 (~b(s(s(s(z))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[5509, 338, 486, 1740, 10074, 10060, 175])).
% 3.43/3.67 tff(10076,plain,
% 3.43/3.67 (r(s(s(s(z))), z)),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[135, 10075])).
% 3.43/3.67 tff(10077,plain,
% 3.43/3.67 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z)))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(10078,plain,
% 3.43/3.67 (((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(elem!1))))))) <=> ((~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z)))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(10079,plain,
% 3.43/3.67 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[10078])).
% 3.43/3.67 tff(10080,plain,
% 3.43/3.67 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z)))),
% 3.43/3.67 inference(transitivity,[status(thm)],[10079, 10077])).
% 3.43/3.67 tff(10081,plain,
% 3.43/3.67 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(10082,plain,
% 3.43/3.67 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(z))), z))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 3.43/3.67 tff(10083,plain,
% 3.43/3.67 (~r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[10082, 82, 1654, 10076])).
% 3.43/3.67 tff(10084,plain,
% 3.43/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(10085,plain,
% 3.43/3.68 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10086,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1))))))))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10085])).
% 3.43/3.68 tff(10087,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.43/3.68 inference(transitivity,[status(thm)],[10086, 10084])).
% 3.43/3.68 tff(10088,plain,
% 3.43/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.43/3.68 inference(quant_inst,[status(thm)],[])).
% 3.43/3.68 tff(10089,plain,
% 3.43/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1))))))),
% 3.43/3.68 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 3.43/3.68 tff(10090,plain,
% 3.43/3.68 (~b(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10089, 338, 10033, 1740, 10074, 10060, 175])).
% 3.43/3.68 tff(10091,plain,
% 3.43/3.68 ((s(s(s(z))) = s(s(s(s(elem!1))))) | r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10000, 21, 10090])).
% 3.43/3.68 tff(10092,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10091, 10083, 9990])).
% 3.43/3.68 tff(10093,plain,((~r(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~r(s(s(s(s(elem!1)))), z)) | (~(elem!1 = s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (s(s(s(z))) = elem!1) | (elem!1 = s(s(s(z)))) | (~r(z, elem!1)) | (~r(elem!1, z)) | (s(z) = elem!1) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(z), s(s(s(s(s(elem!1)))))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10094,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10093, 10031, 10022, 9555, 9877, 1740, 9909, 10020, 9890, 9888, 9571, 9553, 691, 9880, 9841, 9838])).
% 3.43/3.68 tff(10095,plain,(b(s(s(s(elem!1))), elem!1) | (~b(s(z), z)) | (s(z) = elem!1) | (elem!1 = s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | b(s(s(s(elem!1))), z)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10096,plain,
% 3.43/3.68 (b(s(s(s(elem!1))), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10095, 1940, 691, 137, 7050, 2613, 2138, 1740, 1382])).
% 3.43/3.68 tff(10097,plain,
% 3.43/3.68 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(elem!1))), z)),
% 3.43/3.68 inference(monotonicity,[status(thm)],[712])).
% 3.43/3.68 tff(10098,plain,
% 3.43/3.68 (b(s(s(s(elem!1))), z) <=> b(s(s(s(elem!1))), elem!1)),
% 3.43/3.68 inference(symmetry,[status(thm)],[10097])).
% 3.43/3.68 tff(10099,plain,
% 3.43/3.68 ((~b(s(s(s(elem!1))), z)) <=> (~b(s(s(s(elem!1))), elem!1))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10098])).
% 3.43/3.68 tff(10100,plain,
% 3.43/3.68 (~b(s(s(s(elem!1))), elem!1)),
% 3.43/3.68 inference(modus_ponens,[status(thm)],[1382, 10099])).
% 3.43/3.68 tff(10101,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[2636, 10100])).
% 3.43/3.68 tff(10102,plain,((~(elem!1 = z)) | (~b(s(s(s(elem!1))), elem!1)) | b(s(s(s(elem!1))), z)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10103,plain,
% 3.43/3.68 (~(elem!1 = z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10102, 2636, 1382])).
% 3.43/3.68 tff(10104,plain,
% 3.43/3.68 (b(elem!1, z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[846, 864, 10103])).
% 3.43/3.68 tff(10105,plain,
% 3.43/3.68 (~r(z, elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7574, 82, 8721, 1353])).
% 3.43/3.68 tff(10106,plain,
% 3.43/3.68 (~(z = elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[2752, 10103])).
% 3.43/3.68 tff(10107,plain,
% 3.43/3.68 (b(z, elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[353, 10105, 10106])).
% 3.43/3.68 tff(10108,plain,
% 3.43/3.68 (~(s(s(elem!1)) = s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1343, 7562])).
% 3.43/3.68 tff(10109,plain,
% 3.43/3.68 (~(elem!1 = s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[231, 10108])).
% 3.43/3.68 tff(10110,plain,
% 3.43/3.68 (~r(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7166, 1502, 1353])).
% 3.43/3.68 tff(10111,plain,
% 3.43/3.68 (~(s(elem!1) = elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1473, 246])).
% 3.43/3.68 tff(10112,plain,
% 3.43/3.68 (b(elem!1, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[252, 2037, 246])).
% 3.43/3.68 tff(10113,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[4720, 2030, 10112, 1021, 1131, 1597])).
% 3.43/3.68 tff(10114,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (s(elem!1) = elem!1) | (elem!1 = s(elem!1)) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10115,plain,
% 3.43/3.68 (~b(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10114, 1502, 10111, 1021, 1131, 246, 1950])).
% 3.43/3.68 tff(10116,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1615, 10115, 10110])).
% 3.43/3.68 tff(10117,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (elem!1 = s(elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10118,plain,
% 3.43/3.68 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10117, 7032, 1131, 10109, 1021, 1353])).
% 3.43/3.68 tff(10119,plain,
% 3.43/3.68 (s(elem!1) = s(s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1515, 10118, 2606])).
% 3.43/3.68 tff(10120,plain,
% 3.43/3.68 (s(s(elem!1)) = elem!1),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[209, 10119])).
% 3.43/3.68 tff(10121,plain,
% 3.43/3.68 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10120])).
% 3.43/3.68 tff(10122,plain,
% 3.43/3.68 (b(elem!1, s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.43/3.68 inference(symmetry,[status(thm)],[10121])).
% 3.43/3.68 tff(10123,plain,
% 3.43/3.68 ((~b(elem!1, s(s(s(elem!1))))) <=> (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10122])).
% 3.43/3.68 tff(10124,plain,
% 3.43/3.68 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.43/3.68 inference(modus_ponens,[status(thm)],[1940, 10123])).
% 3.43/3.68 tff(10125,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[6386, 10124])).
% 3.43/3.68 tff(10126,plain,(b(elem!1, s(s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | b(s(elem!1), s(s(s(elem!1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~r(z, s(s(s(elem!1))))) | (elem!1 = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10127,plain,
% 3.43/3.68 (b(s(elem!1), s(s(s(elem!1))))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10126, 10107, 6386, 1940, 10104, 1353, 8717])).
% 3.43/3.68 tff(10128,plain,
% 3.43/3.68 (b(s(s(elem!1)), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[327, 8792, 197])).
% 3.43/3.68 tff(10129,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10130,plain,
% 3.43/3.68 (((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10131,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10130])).
% 3.43/3.68 tff(10132,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.43/3.68 inference(transitivity,[status(thm)],[10131, 10129])).
% 3.43/3.68 tff(10133,plain,
% 3.43/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.43/3.68 inference(quant_inst,[status(thm)],[])).
% 3.43/3.68 tff(10134,plain,
% 3.43/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 3.43/3.68 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 3.43/3.68 tff(10135,plain,
% 3.43/3.68 (~b(s(s(elem!1)), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10134, 338, 1021, 763, 2636, 762, 6387])).
% 3.43/3.68 tff(10136,plain,
% 3.43/3.68 (r(s(s(elem!1)), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[798, 21, 155, 10135])).
% 3.43/3.68 tff(10137,plain,
% 3.43/3.68 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[2617, 21, 2614, 6695])).
% 3.43/3.68 tff(10138,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8994, 82, 1301, 10137, 10136])).
% 3.43/3.68 tff(10139,plain,((~b(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), z)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10140,plain,
% 3.43/3.68 (~b(elem!1, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10139, 10128, 6387, 1301, 2636, 7060, 1021])).
% 3.43/3.68 tff(10141,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[321, 7108, 10140, 137])).
% 3.43/3.68 tff(10142,plain,((~r(elem!1, s(elem!1))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10143,plain,
% 3.43/3.68 (~r(elem!1, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10142, 10107, 6387, 7062, 2636, 137, 6386, 8721])).
% 3.43/3.68 tff(10144,plain,
% 3.43/3.68 (b(elem!1, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[252, 10143, 232])).
% 3.43/3.68 tff(10145,plain,
% 3.43/3.68 (b(elem!1, z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[846, 6335, 864])).
% 3.43/3.68 tff(10146,plain,
% 3.43/3.68 (b(z, elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[353, 6340, 1729])).
% 3.43/3.68 tff(10147,plain,
% 3.43/3.68 (~b(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7200, 10146, 315, 10145, 6336])).
% 3.43/3.68 tff(10148,plain,
% 3.43/3.68 (r(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1615, 10147])).
% 3.43/3.68 tff(10149,plain,
% 3.43/3.68 (~b(s(s(elem!1)), s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7177, 10148, 210, 6386, 1353, 6387])).
% 3.43/3.68 tff(10150,plain,
% 3.43/3.68 (r(s(s(elem!1)), s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[277, 10149, 225])).
% 3.43/3.68 tff(10151,plain,
% 3.43/3.68 (~r(s(s(elem!1)), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[9003, 10150, 10148])).
% 3.43/3.68 tff(10152,plain,
% 3.43/3.68 (b(s(s(elem!1)), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[800, 10151])).
% 3.43/3.68 tff(10153,plain,
% 3.43/3.68 (~b(elem!1, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8965, 10152, 10145, 10146, 8722])).
% 3.43/3.68 tff(10154,plain,
% 3.43/3.68 (r(elem!1, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[321, 10153, 137])).
% 3.43/3.68 tff(10155,plain,
% 3.43/3.68 (~r(s(elem!1), s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[3077, 10154, 295])).
% 3.43/3.68 tff(10156,plain,
% 3.43/3.68 (b(s(elem!1), s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[3081, 10155, 6853])).
% 3.43/3.68 tff(10157,plain,
% 3.43/3.68 (b(s(s(elem!1)), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8927, 10156, 295, 864, 1564, 315, 6386, 1301, 218, 6387])).
% 3.43/3.68 tff(10158,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7230, 10157, 10156, 6387, 10146, 10152, 1564])).
% 3.43/3.68 tff(10159,plain,(r(s(elem!1), z) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), elem!1)) | r(elem!1, z) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z)) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10160,plain,
% 3.43/3.68 (~r(s(elem!1), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10159, 1807, 1564, 6387, 864, 315, 6386, 1301, 137, 8722, 1353, 1729])).
% 3.43/3.68 tff(10161,plain,
% 3.43/3.68 (b(s(elem!1), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[312, 10160, 294])).
% 3.43/3.68 tff(10162,plain,
% 3.43/3.68 (~b(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7200, 6336, 315, 1131, 1021])).
% 3.43/3.68 tff(10163,plain,
% 3.43/3.68 (r(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1615, 10162])).
% 3.43/3.68 tff(10164,plain,
% 3.43/3.68 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8904, 10163, 1301])).
% 3.43/3.68 tff(10165,plain,
% 3.43/3.68 (b(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1971, 10164, 218])).
% 3.43/3.68 tff(10166,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10167,plain,
% 3.43/3.68 (((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10168,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10167])).
% 3.43/3.68 tff(10169,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.43/3.68 inference(transitivity,[status(thm)],[10168, 10166])).
% 3.43/3.68 tff(10170,plain,
% 3.43/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.43/3.68 inference(quant_inst,[status(thm)],[])).
% 3.43/3.68 tff(10171,plain,
% 3.43/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))),
% 3.43/3.68 inference(modus_ponens,[status(thm)],[10170, 10169])).
% 3.43/3.68 tff(10172,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10171, 338, 1021, 10165, 2636, 315, 10161, 6336])).
% 3.43/3.68 tff(10173,plain,(r(s(elem!1), z) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(elem!1))) | (~r(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | r(elem!1, z) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10174,plain,
% 3.43/3.68 (~b(z, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10173, 1807, 2636, 1021, 1301, 1131, 1564, 6387, 864, 6386, 137, 315, 1353, 1729])).
% 3.43/3.68 tff(10175,plain,
% 3.43/3.68 (r(z, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[161, 10174])).
% 3.43/3.68 tff(10176,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8251, 10163, 10175, 6386, 1353, 6387, 210])).
% 3.43/3.68 tff(10177,plain,(r(s(elem!1), z) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | r(elem!1, z) | (elem!1 = s(s(elem!1))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10178,plain,
% 3.43/3.68 (r(s(elem!1), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10177, 10144, 1353, 6387, 6386, 10104, 10107, 2636, 7062, 10127, 864, 137, 10105])).
% 3.43/3.68 tff(10179,plain,
% 3.43/3.68 (~(s(elem!1) = s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1786, 7154])).
% 3.43/3.68 tff(10180,plain,
% 3.43/3.68 (~r(s(elem!1), s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1823, 165, 1815])).
% 3.43/3.68 tff(10181,plain,
% 3.43/3.68 (b(s(elem!1), s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[3081, 10180, 10179])).
% 3.43/3.68 tff(10182,plain,
% 3.43/3.68 (~b(s(s(elem!1)), s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7204, 165, 1353, 1131, 215, 1950, 306, 1021, 6387, 6386])).
% 3.43/3.68 tff(10183,plain,
% 3.43/3.68 (r(s(s(elem!1)), s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[277, 10182, 7154])).
% 3.43/3.68 tff(10184,plain,
% 3.43/3.68 (~r(s(s(elem!1)), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[5958, 10183, 1815])).
% 3.43/3.68 tff(10185,plain,
% 3.43/3.68 (b(s(s(elem!1)), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[800, 10184])).
% 3.43/3.68 tff(10186,plain,
% 3.43/3.68 (~r(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8251, 165, 6386, 1353, 6387, 215])).
% 3.43/3.68 tff(10187,plain,
% 3.43/3.68 (b(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1615, 10186])).
% 3.43/3.68 tff(10188,plain,
% 3.43/3.68 (~b(s(elem!1), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[4720, 10187, 1131, 315, 1021])).
% 3.43/3.68 tff(10189,plain,
% 3.43/3.68 (r(s(elem!1), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[312, 10188, 306])).
% 3.43/3.68 tff(10190,plain,
% 3.43/3.68 (b(s(s(elem!1)), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8927, 10189, 10181, 864, 1564, 315, 6386, 1301, 1962, 6387])).
% 3.43/3.68 tff(10191,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7230, 10190, 10185, 6387, 1021, 10181, 1564])).
% 3.43/3.68 tff(10192,plain,((~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | r(elem!1, z) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z)) | (s(elem!1) = elem!1) | (~r(s(elem!1), z)) | (~b(elem!1, z)) | (~r(z, s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10193,plain,
% 3.43/3.68 (~r(z, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10192, 10107, 6387, 10127, 864, 10144, 6386, 7062, 294, 10178, 10104, 1353, 210, 8721])).
% 3.43/3.68 tff(10194,plain,
% 3.43/3.68 (b(z, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[161, 10193])).
% 3.43/3.68 tff(10195,plain,
% 3.43/3.68 (~r(z, elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7574, 82, 1950, 1353])).
% 3.43/3.68 tff(10196,plain,
% 3.43/3.68 (~r(s(s(s(elem!1))), s(z))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[4573, 1731, 7062])).
% 3.43/3.68 tff(10197,plain,
% 3.43/3.68 (b(s(s(s(elem!1))), s(z))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1990, 10196])).
% 3.43/3.68 tff(10198,plain,
% 3.43/3.68 (~b(z, elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10139, 7109, 6387, 7062, 2636, 7060, 10128])).
% 3.43/3.68 tff(10199,plain,
% 3.43/3.68 (z = elem!1),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[353, 10198, 10195])).
% 3.43/3.68 tff(10200,plain,
% 3.43/3.68 (r(s(s(s(elem!1))), z) <=> r(s(s(s(elem!1))), elem!1)),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10199])).
% 3.43/3.68 tff(10201,plain,
% 3.43/3.68 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(elem!1))), z)),
% 3.43/3.68 inference(symmetry,[status(thm)],[10200])).
% 3.43/3.68 tff(10202,plain,
% 3.43/3.68 ((~r(s(s(s(elem!1))), elem!1)) <=> (~r(s(s(s(elem!1))), z))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10201])).
% 3.43/3.68 tff(10203,plain,
% 3.43/3.68 (~r(elem!1, z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[2167, 1950, 7062])).
% 3.43/3.68 tff(10204,plain,
% 3.43/3.68 (elem!1 = z),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[2752, 10199])).
% 3.43/3.68 tff(10205,plain,
% 3.43/3.68 (r(z, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7088, 10204, 235])).
% 3.43/3.68 tff(10206,plain,
% 3.43/3.68 (~r(z, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[272, 10205, 7081])).
% 3.43/3.68 tff(10207,plain,
% 3.43/3.68 (b(z, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[161, 10206])).
% 3.43/3.68 tff(10208,plain,
% 3.43/3.68 (~r(s(s(s(elem!1))), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8881, 10207, 1731, 1740, 691, 1382, 137, 6386, 10128, 10203, 6387, 1353, 1950])).
% 3.43/3.68 tff(10209,plain,
% 3.43/3.68 (~r(s(s(s(elem!1))), z)),
% 3.43/3.68 inference(modus_ponens,[status(thm)],[10208, 10202])).
% 3.43/3.68 tff(10210,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7062, 10209])).
% 3.43/3.68 tff(10211,plain,((~r(elem!1, s(elem!1))) | (~r(z, s(z))) | (~b(s(z), z)) | (s(z) = elem!1) | b(s(s(s(elem!1))), z) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10212,plain,
% 3.43/3.68 (~r(elem!1, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10211, 1731, 1740, 691, 1382, 137, 6386, 6387, 1353, 1950, 2636])).
% 3.43/3.68 tff(10213,plain,
% 3.43/3.68 (b(elem!1, s(elem!1))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[252, 10212, 232])).
% 3.43/3.68 tff(10214,plain,
% 3.43/3.68 (~r(s(z), s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[4588, 165, 1731])).
% 3.43/3.68 tff(10215,plain,
% 3.43/3.68 (b(s(z), s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[743, 10214])).
% 3.43/3.68 tff(10216,plain,
% 3.43/3.68 (~b(s(elem!1), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[4729, 10186, 1731, 315, 10195, 864])).
% 3.43/3.68 tff(10217,plain,
% 3.43/3.68 (r(s(elem!1), elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[312, 10216, 306])).
% 3.43/3.68 tff(10218,plain,
% 3.43/3.68 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[2028, 10217, 1950])).
% 3.43/3.68 tff(10219,plain,
% 3.43/3.68 (b(s(elem!1), s(s(s(elem!1))))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1515, 10218, 215])).
% 3.43/3.68 tff(10220,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10221,plain,
% 3.43/3.68 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10222,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10221])).
% 3.43/3.68 tff(10223,plain,
% 3.43/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.68 inference(transitivity,[status(thm)],[10222, 10220])).
% 3.43/3.68 tff(10224,plain,
% 3.43/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.43/3.68 inference(quant_inst,[status(thm)],[])).
% 3.43/3.68 tff(10225,plain,
% 3.43/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.43/3.68 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 3.43/3.68 tff(10226,plain,
% 3.43/3.68 (~b(s(elem!1), s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10225, 338, 6387, 10219, 6386, 10215, 5431])).
% 3.43/3.68 tff(10227,plain,
% 3.43/3.68 (r(s(elem!1), s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[3081, 10226, 10179])).
% 3.43/3.68 tff(10228,plain,
% 3.43/3.68 (~r(s(elem!1), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1823, 10227, 165])).
% 3.43/3.68 tff(10229,plain,
% 3.43/3.68 (b(s(elem!1), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[1812, 10228])).
% 3.43/3.68 tff(10230,plain,
% 3.43/3.68 (~(elem!1 = z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[2759, 10228, 10217])).
% 3.43/3.68 tff(10231,plain,
% 3.43/3.68 (b(elem!1, z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[846, 10230, 864])).
% 3.43/3.68 tff(10232,plain,
% 3.43/3.68 (~(z = elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[2752, 10230])).
% 3.43/3.68 tff(10233,plain,
% 3.43/3.68 (b(z, elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[353, 10232, 10195])).
% 3.43/3.68 tff(10234,plain,
% 3.43/3.68 ($false),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[7200, 10233, 10231, 315, 10187, 10229])).
% 3.43/3.68 tff(10235,plain,((~r(z, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | r(elem!1, z) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (s(elem!1) = elem!1) | (~r(z, s(z))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.68 tff(10236,plain,
% 3.43/3.68 (~r(z, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10235, 10213, 864, 6387, 6386, 10197, 210, 1950, 294, 1731, 1353])).
% 3.43/3.68 tff(10237,plain,
% 3.43/3.68 (b(z, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[161, 10236])).
% 3.43/3.68 tff(10238,plain,
% 3.43/3.68 (b(z, elem!1)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[353, 10195, 10106])).
% 3.43/3.68 tff(10239,plain,
% 3.43/3.68 (r(s(elem!1), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[10173, 10213, 2636, 10238, 7062, 10104, 1564, 6387, 864, 6386, 137, 10237, 1353, 10195])).
% 3.43/3.68 tff(10240,plain,
% 3.43/3.68 (~r(elem!1, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[3077, 1814, 295])).
% 3.43/3.68 tff(10241,plain,
% 3.43/3.68 (b(elem!1, s(s(elem!1)))),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[321, 10240, 137])).
% 3.43/3.68 tff(10242,plain,
% 3.43/3.68 (~b(s(s(elem!1)), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[8965, 10241, 1021, 8722, 1131])).
% 3.43/3.68 tff(10243,plain,
% 3.43/3.68 (r(s(s(elem!1)), z)),
% 3.43/3.68 inference(unit_resolution,[status(thm)],[800, 10242])).
% 3.43/3.68 tff(10244,plain,
% 3.43/3.68 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10245,plain,
% 3.43/3.68 (((~r(s(s(elem!1)), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(elem!1))))) <=> ((~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(10246,plain,
% 3.43/3.68 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(elem!1), s(s(elem!1))))))),
% 3.43/3.68 inference(monotonicity,[status(thm)],[10245])).
% 3.43/3.68 tff(10247,plain,
% 3.43/3.68 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.43/3.69 inference(transitivity,[status(thm)],[10246, 10244])).
% 3.43/3.69 tff(10248,plain,
% 3.43/3.69 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(elem!1)))))),
% 3.43/3.69 inference(quant_inst,[status(thm)],[])).
% 3.43/3.69 tff(10249,plain,
% 3.43/3.69 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~r(s(elem!1), s(s(elem!1))))),
% 3.43/3.69 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 3.43/3.69 tff(10250,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10249, 82, 1815, 10243, 1814])).
% 3.43/3.69 tff(10251,plain,((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (elem!1 = s(s(elem!1))) | (~r(s(elem!1), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10252,plain,
% 3.43/3.69 (~r(s(elem!1), s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10251, 4712, 137, 295, 8722, 1815, 4710])).
% 3.43/3.69 tff(10253,plain,
% 3.43/3.69 (b(s(elem!1), s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[3081, 10252, 6853])).
% 3.43/3.69 tff(10254,plain,
% 3.43/3.69 (b(s(s(elem!1)), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[8927, 10253, 295, 864, 1564, 315, 6386, 1301, 218, 6387])).
% 3.43/3.69 tff(10255,plain,
% 3.43/3.69 (~b(elem!1, s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10139, 10254, 6387, 1301, 2636, 7060, 4712])).
% 3.43/3.69 tff(10256,plain,
% 3.43/3.69 (r(elem!1, s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[321, 10255, 137])).
% 3.43/3.69 tff(10257,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.69 inference(rewrite,[status(thm)],[])).
% 3.43/3.69 tff(10258,plain,
% 3.43/3.69 (((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.69 inference(rewrite,[status(thm)],[])).
% 3.43/3.69 tff(10259,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1))))))),
% 3.43/3.69 inference(monotonicity,[status(thm)],[10258])).
% 3.43/3.69 tff(10260,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.69 inference(transitivity,[status(thm)],[10259, 10257])).
% 3.43/3.69 tff(10261,plain,
% 3.43/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))),
% 3.43/3.69 inference(quant_inst,[status(thm)],[])).
% 3.43/3.69 tff(10262,plain,
% 3.43/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1))))),
% 3.43/3.69 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 3.43/3.69 tff(10263,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10262, 338, 763, 2636, 8722, 6386, 747, 1740])).
% 3.43/3.69 tff(10264,plain,((~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10265,plain,
% 3.43/3.69 (~b(s(z), s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10264, 10254, 1740, 2636, 6386, 8722])).
% 3.43/3.69 tff(10266,plain,
% 3.43/3.69 (r(s(z), s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[743, 10265])).
% 3.43/3.69 tff(10267,plain,
% 3.43/3.69 (~r(s(z), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[8741, 10266, 10256])).
% 3.43/3.69 tff(10268,plain,
% 3.43/3.69 (b(s(z), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[701, 10267, 691])).
% 3.43/3.69 tff(10269,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[8778, 338, 4712, 4710, 10254, 8722, 10268, 1740])).
% 3.43/3.69 tff(10270,plain,((elem!1 = z) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (s(z) = elem!1) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(elem!1), elem!1)) | r(elem!1, z) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~r(s(elem!1), z)) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10271,plain,
% 3.43/3.69 (~r(s(elem!1), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10270, 10239, 1740, 691, 137, 2636, 6386, 6387, 7062, 10103, 864, 1564, 10213, 10237, 10195])).
% 3.43/3.69 tff(10272,plain,
% 3.43/3.69 (b(s(elem!1), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[312, 10271, 294])).
% 3.43/3.69 tff(10273,plain,
% 3.43/3.69 (r(z, s(elem!1))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[4729, 10272, 1731, 10213, 10195, 864])).
% 3.43/3.69 tff(10274,plain,
% 3.43/3.69 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[8904, 10273, 7062])).
% 3.43/3.69 tff(10275,plain,
% 3.43/3.69 (b(s(s(s(elem!1))), s(elem!1))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[1971, 10274, 218])).
% 3.43/3.69 tff(10276,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.43/3.69 inference(rewrite,[status(thm)],[])).
% 3.43/3.69 tff(10277,plain,
% 3.43/3.69 (((~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.43/3.69 inference(rewrite,[status(thm)],[])).
% 3.43/3.69 tff(10278,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 3.43/3.69 inference(monotonicity,[status(thm)],[10277])).
% 3.43/3.69 tff(10279,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.43/3.69 inference(transitivity,[status(thm)],[10278, 10276])).
% 3.43/3.69 tff(10280,plain,
% 3.43/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.43/3.69 inference(quant_inst,[status(thm)],[])).
% 3.43/3.69 tff(10281,plain,
% 3.43/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))),
% 3.43/3.69 inference(modus_ponens,[status(thm)],[10280, 10279])).
% 3.43/3.69 tff(10282,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10281, 338, 10275, 2636, 1564, 10213, 10272])).
% 3.43/3.69 tff(10283,plain,((~r(z, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | r(elem!1, z) | (~b(s(z), z)) | (s(z) = elem!1) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | b(s(s(s(elem!1))), z)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10284,plain,
% 3.43/3.69 (~r(z, s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10283, 10127, 2636, 864, 1740, 691, 137, 6386, 6387, 1353, 8721, 1382])).
% 3.43/3.69 tff(10285,plain,
% 3.43/3.69 (b(z, s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[403, 10284])).
% 3.43/3.69 tff(10286,plain,
% 3.43/3.69 (~b(s(z), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[7103, 10285, 1740, 10104, 10107])).
% 3.43/3.69 tff(10287,plain,
% 3.43/3.69 (r(s(z), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[701, 10286, 691])).
% 3.43/3.69 tff(10288,plain,
% 3.43/3.69 (~r(s(elem!1), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10270, 10194, 1740, 691, 137, 2636, 6386, 6387, 7062, 10103, 864, 10127, 10144, 10178, 10105])).
% 3.43/3.69 tff(10289,plain,
% 3.43/3.69 (b(s(elem!1), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[312, 10288, 294])).
% 3.43/3.69 tff(10290,plain,
% 3.43/3.69 (~b(s(s(elem!1)), s(elem!1))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[9101, 10289, 210, 6387, 7062, 10104, 6386, 10144, 10107])).
% 3.43/3.69 tff(10291,plain,
% 3.43/3.69 (r(s(s(elem!1)), s(elem!1))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[277, 10290, 225])).
% 3.43/3.69 tff(10292,plain,
% 3.43/3.69 (~b(z, s(elem!1))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[4720, 10289, 10104, 10144, 10107])).
% 3.43/3.69 tff(10293,plain,
% 3.43/3.69 (r(z, s(elem!1))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[1615, 10292])).
% 3.43/3.69 tff(10294,plain,
% 3.43/3.69 (~r(s(s(elem!1)), z)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[9003, 10293, 10291])).
% 3.43/3.69 tff(10295,plain,
% 3.43/3.69 (b(s(s(elem!1)), z)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[800, 10294])).
% 3.43/3.69 tff(10296,plain,
% 3.43/3.69 (~b(elem!1, s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[8965, 10295, 10104, 10107, 10194])).
% 3.43/3.69 tff(10297,plain,
% 3.43/3.69 (r(elem!1, s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[321, 10296, 137])).
% 3.43/3.69 tff(10298,plain,
% 3.43/3.69 (~r(s(z), s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[8741, 10297, 10287])).
% 3.43/3.69 tff(10299,plain,
% 3.43/3.69 (b(s(z), s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[743, 10298])).
% 3.43/3.69 tff(10300,plain,
% 3.43/3.69 (~b(s(s(elem!1)), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10264, 10299, 1740, 2636, 6386, 10194])).
% 3.43/3.69 tff(10301,plain,
% 3.43/3.69 (r(s(s(elem!1)), elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[327, 10300, 197])).
% 3.43/3.69 tff(10302,plain,
% 3.43/3.69 (~b(s(s(elem!1)), s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[9063, 10299, 1740, 10194, 10295])).
% 3.43/3.69 tff(10303,plain,
% 3.43/3.69 (r(s(s(elem!1)), s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[784, 10302])).
% 3.43/3.69 tff(10304,plain,
% 3.43/3.69 (~r(elem!1, s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[9053, 10303, 10301])).
% 3.43/3.69 tff(10305,plain,
% 3.43/3.69 (b(elem!1, s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[819, 10304, 697])).
% 3.43/3.69 tff(10306,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.69 inference(rewrite,[status(thm)],[])).
% 3.43/3.69 tff(10307,plain,
% 3.43/3.69 (((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.69 inference(rewrite,[status(thm)],[])).
% 3.43/3.69 tff(10308,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.43/3.69 inference(monotonicity,[status(thm)],[10307])).
% 3.43/3.69 tff(10309,plain,
% 3.43/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.43/3.69 inference(transitivity,[status(thm)],[10308, 10306])).
% 3.43/3.69 tff(10310,plain,
% 3.43/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))),
% 3.43/3.69 inference(quant_inst,[status(thm)],[])).
% 3.43/3.69 tff(10311,plain,
% 3.43/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.43/3.69 inference(modus_ponens,[status(thm)],[10310, 10309])).
% 3.43/3.69 tff(10312,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10311, 338, 10104, 10194, 10299, 10285, 1740, 10305])).
% 3.43/3.69 tff(10313,plain,(r(elem!1, z) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(z) = elem!1) | (~r(z, s(s(s(elem!1))))) | b(s(s(s(elem!1))), z) | b(elem!1, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10314,plain,
% 3.43/3.69 (r(elem!1, z)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10313, 10096, 1740, 7061, 137, 7059, 691, 7031, 1382, 1940])).
% 3.43/3.69 tff(10315,plain,
% 3.43/3.69 (~r(elem!1, s(s(s(elem!1))))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[6371, 10314, 7031])).
% 3.43/3.69 tff(10316,plain,
% 3.43/3.69 (elem!1 = s(s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[1946, 10315, 1940])).
% 3.43/3.69 tff(10317,plain,
% 3.43/3.69 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(elem!1))), s(s(s(elem!1))))),
% 3.43/3.69 inference(monotonicity,[status(thm)],[10316])).
% 3.43/3.69 tff(10318,plain,
% 3.43/3.69 (b(s(s(s(elem!1))), s(s(s(elem!1)))) <=> b(s(s(s(elem!1))), elem!1)),
% 3.43/3.69 inference(symmetry,[status(thm)],[10317])).
% 3.43/3.69 tff(10319,plain,
% 3.43/3.69 ((~b(s(s(s(elem!1))), s(s(s(elem!1))))) <=> (~b(s(s(s(elem!1))), elem!1))),
% 3.43/3.69 inference(monotonicity,[status(thm)],[10318])).
% 3.43/3.69 tff(10320,plain,
% 3.43/3.69 ((~![X: $i] : (~b(X, X))) | (~b(s(s(s(elem!1))), s(s(s(elem!1)))))),
% 3.43/3.69 inference(quant_inst,[status(thm)],[])).
% 3.43/3.69 tff(10321,plain,
% 3.43/3.69 (~b(s(s(s(elem!1))), s(s(s(elem!1))))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10320, 1031])).
% 3.43/3.69 tff(10322,plain,
% 3.43/3.69 (~b(s(s(s(elem!1))), elem!1)),
% 3.43/3.69 inference(modus_ponens,[status(thm)],[10321, 10319])).
% 3.43/3.69 tff(10323,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10096, 10322])).
% 3.43/3.69 tff(10324,plain,(b(elem!1, s(s(s(elem!1)))) | (~b(s(z), z)) | (elem!1 = s(s(elem!1))) | (s(z) = elem!1) | b(s(s(s(elem!1))), z) | r(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10325,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10324, 7058, 7054, 7050, 137, 7049, 1940, 2613, 2138])).
% 3.43/3.69 tff(10326,plain,(b(elem!1, s(s(s(elem!1)))) | r(s(s(s(elem!1))), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(s(elem!1)))) | b(s(s(s(elem!1))), elem!1) | r(z, elem!1) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (elem!1 = s(elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))) | (elem!1 = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10327,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10326, 7030, 7026, 137, 6982, 7024, 7022, 7016, 7007, 7001, 232, 6996, 6987])).
% 3.43/3.69 tff(10328,plain,(b(z, elem!1) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(s(z))))) | b(z, s(s(s(z)))) | b(s(s(s(z))), z) | (~r(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | r(z, s(z)) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10329,plain,
% 3.43/3.69 (r(z, s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10328, 406, 137, 138, 129, 165, 1740, 175, 62, 177, 176])).
% 3.43/3.69 tff(10330,plain,
% 3.43/3.69 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.43/3.69 inference(rewrite,[status(thm)],[])).
% 3.43/3.69 tff(10331,plain,
% 3.43/3.69 (((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z)))) <=> ((~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.43/3.69 inference(rewrite,[status(thm)],[])).
% 3.43/3.69 tff(10332,plain,
% 3.43/3.69 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.43/3.69 inference(monotonicity,[status(thm)],[10331])).
% 3.43/3.69 tff(10333,plain,
% 3.43/3.69 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.43/3.69 inference(transitivity,[status(thm)],[10332, 10330])).
% 3.43/3.69 tff(10334,plain,
% 3.43/3.69 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))))),
% 3.43/3.69 inference(quant_inst,[status(thm)],[])).
% 3.43/3.69 tff(10335,plain,
% 3.43/3.69 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.43/3.69 inference(modus_ponens,[status(thm)],[10334, 10333])).
% 3.43/3.69 tff(10336,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10335, 82, 406, 10329, 150])).
% 3.43/3.69 tff(10337,plain,((~r(s(z), s(s(s(z))))) | (elem!1 = s(s(elem!1))) | b(z, s(s(s(z)))) | b(s(s(s(z))), z) | (~r(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, elem!1) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10338,plain,
% 3.43/3.69 (~r(s(z), s(s(s(z))))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10337, 177, 138, 129, 162, 6939, 175, 62, 137, 176])).
% 3.43/3.69 tff(10339,plain,
% 3.43/3.69 (b(s(z), s(s(s(z))))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[424, 10338])).
% 3.43/3.69 tff(10340,plain,
% 3.43/3.69 (~r(z, s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[2890, 427, 150])).
% 3.43/3.69 tff(10341,plain,
% 3.43/3.69 (b(z, s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[403, 10340])).
% 3.43/3.69 tff(10342,plain,
% 3.43/3.69 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[7735, 10341, 175, 1740, 427])).
% 3.43/3.69 tff(10343,plain,
% 3.43/3.69 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[689, 10342])).
% 3.43/3.69 tff(10344,plain,
% 3.43/3.69 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.43/3.69 inference(monotonicity,[status(thm)],[870])).
% 3.43/3.69 tff(10345,plain,
% 3.43/3.69 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.69 inference(symmetry,[status(thm)],[10344])).
% 3.43/3.69 tff(10346,plain,
% 3.43/3.69 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.43/3.69 inference(monotonicity,[status(thm)],[10345])).
% 3.43/3.69 tff(10347,plain,
% 3.43/3.69 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.43/3.69 inference(modus_ponens,[status(thm)],[62, 10346])).
% 3.43/3.69 tff(10348,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[539, 10347])).
% 3.43/3.69 tff(10349,plain,((~(s(z) = elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10350,plain,
% 3.43/3.69 (~(s(z) = elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10349, 10343, 62])).
% 3.43/3.69 tff(10351,plain,
% 3.43/3.69 (~(elem!1 = s(z))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[696, 10350])).
% 3.43/3.69 tff(10352,plain,
% 3.43/3.69 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[1237, 10350])).
% 3.43/3.69 tff(10353,plain,
% 3.43/3.69 (~r(s(z), s(s(s(z))))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10328, 177, 137, 138, 129, 165, 1740, 175, 62, 393, 176])).
% 3.43/3.69 tff(10354,plain,
% 3.43/3.69 (b(s(z), s(s(s(z))))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[424, 10353])).
% 3.43/3.69 tff(10355,plain,
% 3.43/3.69 (b(s(s(s(z))), s(s(elem!1)))),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[1221, 21, 871, 6752])).
% 3.43/3.69 tff(10356,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[7851, 1212, 10355, 457, 764, 747])).
% 3.43/3.69 tff(10357,plain,(r(s(s(s(z))), s(s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10358,plain,
% 3.43/3.69 (~r(s(s(elem!1)), z)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10357, 6955, 136, 7000, 871, 10354, 6947])).
% 3.43/3.69 tff(10359,plain,
% 3.43/3.69 ($false),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[800, 10358, 6964])).
% 3.43/3.69 tff(10360,plain,(b(z, elem!1) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(s(z))))) | (elem!1 = s(s(elem!1))) | b(z, s(s(s(z)))) | b(s(s(s(z))), z) | r(z, s(z)) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.43/3.69 tff(10361,plain,
% 3.43/3.69 (b(z, elem!1)),
% 3.43/3.69 inference(unit_resolution,[status(thm)],[10360, 10352, 1740, 175, 165, 62, 137, 138, 129, 10340, 176])).
% 3.43/3.70 tff(10362,plain,
% 3.43/3.70 (~(elem!1 = s(s(s(z))))),
% 3.43/3.70 inference(unit_resolution,[status(thm)],[1046, 10361, 138])).
% 3.43/3.70 tff(10363,plain,
% 3.43/3.70 (b(s(z), elem!1)),
% 3.43/3.70 inference(unit_resolution,[status(thm)],[701, 10350, 176])).
% 3.43/3.70 tff(10364,plain,
% 3.43/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.43/3.70 inference(rewrite,[status(thm)],[])).
% 3.43/3.70 tff(10365,plain,
% 3.43/3.70 (((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.43/3.70 inference(rewrite,[status(thm)],[])).
% 3.43/3.70 tff(10366,plain,
% 3.43/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 3.43/3.70 inference(monotonicity,[status(thm)],[10365])).
% 3.43/3.70 tff(10367,plain,
% 3.43/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.43/3.70 inference(transitivity,[status(thm)],[10366, 10364])).
% 3.43/3.70 tff(10368,plain,
% 3.43/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.43/3.70 inference(quant_inst,[status(thm)],[])).
% 3.43/3.70 tff(10369,plain,
% 3.43/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 3.43/3.70 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 3.43/3.70 tff(10370,plain,
% 3.43/3.70 (~b(s(z), s(s(s(s(z)))))),
% 3.43/3.70 inference(unit_resolution,[status(thm)],[10369, 338, 10361, 10363, 10341, 1740, 175])).
% 3.43/3.70 tff(10371,plain,
% 3.43/3.70 (r(s(z), s(s(s(s(z)))))),
% 3.43/3.70 inference(unit_resolution,[status(thm)],[106, 10370])).
% 3.43/3.70 tff(10372,plain,
% 3.43/3.70 (~(s(s(s(s(z)))) = elem!1)),
% 3.43/3.70 inference(unit_resolution,[status(thm)],[1019, 10371, 176])).
% 3.43/3.70 tff(10373,plain,
% 3.43/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.43/3.70 inference(rewrite,[status(thm)],[])).
% 3.43/3.70 tff(10374,plain,
% 3.43/3.70 (((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.70 inference(rewrite,[status(thm)],[])).
% 3.53/3.70 tff(10375,plain,
% 3.53/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10374])).
% 3.53/3.70 tff(10376,plain,
% 3.53/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.70 inference(transitivity,[status(thm)],[10375, 10373])).
% 3.53/3.70 tff(10377,plain,
% 3.53/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.70 inference(quant_inst,[status(thm)],[])).
% 3.53/3.70 tff(10378,plain,
% 3.53/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[10377, 10376])).
% 3.53/3.70 tff(10379,plain,
% 3.53/3.70 (~b(s(s(s(s(z)))), s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10378, 338, 10361, 10363, 10341, 1740, 175])).
% 3.53/3.70 tff(10380,plain,
% 3.53/3.70 (r(s(s(s(s(z)))), s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[119, 10379])).
% 3.53/3.70 tff(10381,plain,
% 3.53/3.70 (~(s(s(s(z))) = elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1056, 10362])).
% 3.53/3.70 tff(10382,plain,
% 3.53/3.70 (~(elem!1 = z)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1036, 10361])).
% 3.53/3.70 tff(10383,plain,
% 3.53/3.70 (~b(elem!1, z)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[7103, 10361, 1740, 10363, 10341])).
% 3.53/3.70 tff(10384,plain,
% 3.53/3.70 (r(elem!1, z)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[846, 10383, 10382])).
% 3.53/3.70 tff(10385,plain,
% 3.53/3.70 (~r(s(s(s(z))), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[2394, 82, 10384, 136])).
% 3.53/3.70 tff(10386,plain,
% 3.53/3.70 (b(s(s(s(z))), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1110, 10385, 10381])).
% 3.53/3.70 tff(10387,plain,
% 3.53/3.70 (~r(s(s(s(s(z)))), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1178, 803, 108])).
% 3.53/3.70 tff(10388,plain,
% 3.53/3.70 (~b(s(s(s(s(z)))), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[3716, 803, 108, 1050, 427, 2380])).
% 3.53/3.70 tff(10389,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1144, 10388, 10387, 1039])).
% 3.53/3.70 tff(10390,plain,((~r(elem!1, s(z))) | (s(s(s(s(z)))) = elem!1) | (~r(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10391,plain,
% 3.53/3.70 (~r(elem!1, s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10390, 10386, 427, 10380, 10372, 10362])).
% 3.53/3.70 tff(10392,plain,
% 3.53/3.70 (b(elem!1, s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[819, 10391, 10351])).
% 3.53/3.70 tff(10393,plain,
% 3.53/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 3.53/3.70 inference(rewrite,[status(thm)],[])).
% 3.53/3.70 tff(10394,plain,
% 3.53/3.70 (((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(z, s(z))) | (~b(z, elem!1))) <=> ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 3.53/3.70 inference(rewrite,[status(thm)],[])).
% 3.53/3.70 tff(10395,plain,
% 3.53/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(z, s(z))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10394])).
% 3.53/3.70 tff(10396,plain,
% 3.53/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(z, s(z))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 3.53/3.70 inference(transitivity,[status(thm)],[10395, 10393])).
% 3.53/3.70 tff(10397,plain,
% 3.53/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(z, s(z))) | (~b(z, elem!1)))),
% 3.53/3.70 inference(quant_inst,[status(thm)],[])).
% 3.53/3.70 tff(10398,plain,
% 3.53/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[10397, 10396])).
% 3.53/3.70 tff(10399,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10398, 338, 10361, 10363, 10341, 1740, 10392])).
% 3.53/3.70 tff(10400,plain,((~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | r(s(z), elem!1) | (~b(s(s(s(s(z)))), z)) | b(z, s(s(s(z)))) | (~r(z, s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(s(z))))) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10401,plain,
% 3.53/3.70 (~r(s(s(s(z))), s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10400, 6939, 176, 175, 138, 162, 62, 137, 129])).
% 3.53/3.70 tff(10402,plain,
% 3.53/3.70 (b(s(s(s(z))), s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[437, 10401])).
% 3.53/3.70 tff(10403,plain,
% 3.53/3.70 (r(z, s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[6972, 1318, 177, 1740, 176])).
% 3.53/3.70 tff(10404,plain,
% 3.53/3.70 (r(z, elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1733, 10403, 6968])).
% 3.53/3.70 tff(10405,plain,
% 3.53/3.70 (~r(s(s(elem!1)), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[262, 10404, 162])).
% 3.53/3.70 tff(10406,plain,
% 3.53/3.70 (b(s(s(elem!1)), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[327, 10405, 197])).
% 3.53/3.70 tff(10407,plain,
% 3.53/3.70 (~r(elem!1, s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[287, 10404, 162])).
% 3.53/3.70 tff(10408,plain,
% 3.53/3.70 (b(elem!1, s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[321, 10407, 137])).
% 3.53/3.70 tff(10409,plain,
% 3.53/3.70 (b(z, s(z)) <=> b(z, elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[6968])).
% 3.53/3.70 tff(10410,plain,
% 3.53/3.70 (b(z, elem!1) <=> b(z, s(z))),
% 3.53/3.70 inference(symmetry,[status(thm)],[10409])).
% 3.53/3.70 tff(10411,plain,
% 3.53/3.70 ((~b(z, elem!1)) <=> (~b(z, s(z)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10410])).
% 3.53/3.70 tff(10412,plain,
% 3.53/3.70 (~b(z, s(z))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[177, 10411])).
% 3.53/3.70 tff(10413,plain,
% 3.53/3.70 (~r(s(z), s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[4588, 10403, 162])).
% 3.53/3.70 tff(10414,plain,
% 3.53/3.70 (b(s(z), s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[743, 10413])).
% 3.53/3.70 tff(10415,plain,
% 3.53/3.70 (s(s(z)) = s(elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[6968])).
% 3.53/3.70 tff(10416,plain,
% 3.53/3.70 (s(s(s(z))) = s(s(elem!1))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10415])).
% 3.53/3.70 tff(10417,plain,
% 3.53/3.70 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10416])).
% 3.53/3.70 tff(10418,plain,
% 3.53/3.70 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10417])).
% 3.53/3.70 tff(10419,plain,
% 3.53/3.70 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10418])).
% 3.53/3.70 tff(10420,plain,
% 3.53/3.70 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[62, 10419])).
% 3.53/3.70 tff(10421,plain,
% 3.53/3.70 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[6637, 10420, 140, 1318])).
% 3.53/3.70 tff(10422,plain,
% 3.53/3.70 (b(s(s(elem!1)), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[327, 197, 263])).
% 3.53/3.70 tff(10423,plain,
% 3.53/3.70 (b(elem!1, s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[321, 137, 288])).
% 3.53/3.70 tff(10424,plain,
% 3.53/3.70 (s(z) = elem!1),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[8272, 4550, 234, 10423, 747, 10422])).
% 3.53/3.70 tff(10425,plain,
% 3.53/3.70 (r(s(elem!1), s(z)) <=> r(s(elem!1), elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10424])).
% 3.53/3.70 tff(10426,plain,
% 3.53/3.70 (r(s(elem!1), elem!1) <=> r(s(elem!1), s(z))),
% 3.53/3.70 inference(symmetry,[status(thm)],[10425])).
% 3.53/3.70 tff(10427,plain,
% 3.53/3.70 ((~r(s(elem!1), elem!1)) <=> (~r(s(elem!1), s(z)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10426])).
% 3.53/3.70 tff(10428,plain,
% 3.53/3.70 (s(s(z)) = s(elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10424])).
% 3.53/3.70 tff(10429,plain,
% 3.53/3.70 (s(s(s(z))) = s(s(elem!1))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10428])).
% 3.53/3.70 tff(10430,plain,
% 3.53/3.70 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10429])).
% 3.53/3.70 tff(10431,plain,
% 3.53/3.70 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10430])).
% 3.53/3.70 tff(10432,plain,
% 3.53/3.70 (b(s(s(s(elem!1))), z)),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[175, 10431])).
% 3.53/3.70 tff(10433,plain,
% 3.53/3.70 (r(s(s(elem!1)), s(elem!1))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[277, 225, 2605])).
% 3.53/3.70 tff(10434,plain,
% 3.53/3.70 (s(z) = elem!1),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[8272, 1731, 234, 762, 747, 763])).
% 3.53/3.70 tff(10435,plain,
% 3.53/3.70 (s(s(z)) = s(elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10434])).
% 3.53/3.70 tff(10436,plain,
% 3.53/3.70 (s(s(s(z))) = s(s(elem!1))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10435])).
% 3.53/3.70 tff(10437,plain,
% 3.53/3.70 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(elem!1)), s(s(elem!1)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10436])).
% 3.53/3.70 tff(10438,plain,
% 3.53/3.70 (b(s(s(elem!1)), s(s(elem!1))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.70 inference(symmetry,[status(thm)],[10437])).
% 3.53/3.70 tff(10439,plain,
% 3.53/3.70 ((~b(s(s(elem!1)), s(s(elem!1)))) <=> (~b(s(s(s(z))), s(s(elem!1))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10438])).
% 3.53/3.70 tff(10440,plain,
% 3.53/3.70 (b(s(s(s(z))), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(elem!1)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10436, 10436])).
% 3.53/3.70 tff(10441,plain,
% 3.53/3.70 ((~b(s(s(s(z))), s(s(s(z))))) <=> (~b(s(s(elem!1)), s(s(elem!1))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10440])).
% 3.53/3.70 tff(10442,plain,
% 3.53/3.70 ((~![X: $i] : (~b(X, X))) | (~b(s(s(s(z))), s(s(s(z)))))),
% 3.53/3.70 inference(quant_inst,[status(thm)],[])).
% 3.53/3.70 tff(10443,plain,
% 3.53/3.70 (~b(s(s(s(z))), s(s(s(z))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10442, 1031])).
% 3.53/3.70 tff(10444,plain,
% 3.53/3.70 (~b(s(s(elem!1)), s(s(elem!1)))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[10443, 10441])).
% 3.53/3.70 tff(10445,plain,
% 3.53/3.70 (~b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[10444, 10439])).
% 3.53/3.70 tff(10446,plain,
% 3.53/3.70 (b(s(z), s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[743, 8258])).
% 3.53/3.70 tff(10447,plain,
% 3.53/3.70 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 3.53/3.70 inference(symmetry,[status(thm)],[9881])).
% 3.53/3.70 tff(10448,plain,
% 3.53/3.70 ((s(s(s(z))) = s(elem!1)) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[3622])).
% 3.53/3.70 tff(10449,plain,
% 3.53/3.70 ((s(s(s(z))) = s(elem!1)) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 3.53/3.70 inference(transitivity,[status(thm)],[10448, 9881])).
% 3.53/3.70 tff(10450,plain,
% 3.53/3.70 ((s(s(s(z))) = s(elem!1)) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 3.53/3.70 inference(transitivity,[status(thm)],[10449, 10447])).
% 3.53/3.70 tff(10451,plain,
% 3.53/3.70 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[3983, 10450])).
% 3.53/3.70 tff(10452,plain,
% 3.53/3.70 ((s(z) = s(elem!1)) <=> (s(elem!1) = s(z))),
% 3.53/3.70 inference(commutativity,[status(thm)],[])).
% 3.53/3.70 tff(10453,plain,
% 3.53/3.70 ((s(z) = s(s(s(elem!1)))) <=> (s(z) = s(elem!1))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[213])).
% 3.53/3.70 tff(10454,plain,
% 3.53/3.70 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(z))),
% 3.53/3.70 inference(transitivity,[status(thm)],[10453, 10452])).
% 3.53/3.70 tff(10455,plain,
% 3.53/3.70 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(z)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10454])).
% 3.53/3.70 tff(10456,plain,
% 3.53/3.70 (~(s(elem!1) = s(z))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[1263, 10455])).
% 3.53/3.70 tff(10457,plain,
% 3.53/3.70 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[3121, 10456])).
% 3.53/3.70 tff(10458,plain,
% 3.53/3.70 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[3303, 10457])).
% 3.53/3.70 tff(10459,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10458, 10451])).
% 3.53/3.70 tff(10460,plain,((~(s(s(s(z))) = s(elem!1))) | (~(s(s(s(elem!1))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10461,plain,
% 3.53/3.70 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10460, 3983])).
% 3.53/3.70 tff(10462,plain,
% 3.53/3.70 (~(elem!1 = s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1418, 10461])).
% 3.53/3.70 tff(10463,plain,
% 3.53/3.70 (~(s(s(elem!1)) = elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[196, 10462])).
% 3.53/3.70 tff(10464,plain,
% 3.53/3.70 (b(s(s(elem!1)), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[327, 10463, 323])).
% 3.53/3.70 tff(10465,plain,
% 3.53/3.70 (b(elem!1, s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[321, 10462, 317])).
% 3.53/3.70 tff(10466,plain,
% 3.53/3.70 (s(z) = elem!1),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[8272, 10465, 234, 1731, 747, 10464])).
% 3.53/3.70 tff(10467,plain,
% 3.53/3.70 (s(s(z)) = s(elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10466])).
% 3.53/3.70 tff(10468,plain,
% 3.53/3.70 ((s(s(z)) = s(s(s(z)))) <=> (s(elem!1) = s(s(s(z))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10467])).
% 3.53/3.70 tff(10469,plain,
% 3.53/3.70 ((s(s(z)) = s(s(s(z)))) <=> (s(s(s(z))) = s(elem!1))),
% 3.53/3.70 inference(transitivity,[status(thm)],[10468, 3686])).
% 3.53/3.70 tff(10470,plain,
% 3.53/3.70 ((s(s(s(z))) = s(elem!1)) <=> (s(s(z)) = s(s(s(z))))),
% 3.53/3.70 inference(symmetry,[status(thm)],[10469])).
% 3.53/3.70 tff(10471,plain,
% 3.53/3.70 (s(s(z)) = s(s(s(z)))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[3983, 10470])).
% 3.53/3.70 tff(10472,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[529, 10471])).
% 3.53/3.70 tff(10473,plain,((~(s(s(s(z))) = s(elem!1))) | (~r(z, elem!1)) | (~r(z, s(z))) | (~b(s(z), s(s(elem!1)))) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10474,plain,
% 3.53/3.70 (~(s(s(s(z))) = s(elem!1))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10473, 1731, 234, 10446, 263, 288])).
% 3.53/3.70 tff(10475,plain,
% 3.53/3.70 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[4794, 10474])).
% 3.53/3.70 tff(10476,assumption,(~r(s(s(s(s(z)))), s(s(elem!1)))), introduced(assumption)).
% 3.53/3.70 tff(10477,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[4805, 21, 1267, 10476, 4798])).
% 3.53/3.70 tff(10478,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | r(s(s(s(s(z)))), s(s(elem!1))) | (s(s(s(s(z)))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10479,plain,
% 3.53/3.70 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10478, 1267, 10475])).
% 3.53/3.70 tff(10480,plain,
% 3.53/3.70 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[193])).
% 3.53/3.70 tff(10481,plain,
% 3.53/3.70 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(z))) = elem!1))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10480])).
% 3.53/3.70 tff(10482,plain,
% 3.53/3.70 (elem!1 = s(s(elem!1))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[196, 193])).
% 3.53/3.70 tff(10483,plain,
% 3.53/3.70 (s(s(s(elem!1))) = s(elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1418, 10482])).
% 3.53/3.70 tff(10484,plain,
% 3.53/3.70 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1428, 10483])).
% 3.53/3.70 tff(10485,plain,
% 3.53/3.70 (~(s(s(s(z))) = elem!1)),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[10484, 10481])).
% 3.53/3.70 tff(10486,plain,
% 3.53/3.70 (~b(s(s(s(z))), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[3471, 10482, 3468])).
% 3.53/3.70 tff(10487,plain,
% 3.53/3.70 (r(s(s(s(z))), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1108, 21, 10486, 10485])).
% 3.53/3.70 tff(10488,plain,
% 3.53/3.70 (~r(z, s(s(s(z))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[3160, 82, 234, 10487])).
% 3.53/3.70 tff(10489,plain,
% 3.53/3.70 (b(z, s(s(s(z))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[149, 10488])).
% 3.53/3.70 tff(10490,plain,
% 3.53/3.70 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[193])).
% 3.53/3.70 tff(10491,assumption,(r(s(s(s(s(z)))), s(s(elem!1)))), introduced(assumption)).
% 3.53/3.70 tff(10492,plain,
% 3.53/3.70 (r(s(s(s(s(z)))), elem!1)),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 3.53/3.70 tff(10493,plain,
% 3.53/3.70 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 3.53/3.70 inference(rewrite,[status(thm)],[])).
% 3.53/3.70 tff(10494,plain,
% 3.53/3.70 (((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 3.53/3.70 inference(rewrite,[status(thm)],[])).
% 3.53/3.70 tff(10495,plain,
% 3.53/3.70 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10494])).
% 3.53/3.70 tff(10496,plain,
% 3.53/3.70 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 3.53/3.70 inference(transitivity,[status(thm)],[10495, 10493])).
% 3.53/3.70 tff(10497,plain,
% 3.53/3.70 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.53/3.70 inference(quant_inst,[status(thm)],[])).
% 3.53/3.70 tff(10498,plain,
% 3.53/3.70 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[10497, 10496])).
% 3.53/3.70 tff(10499,plain,
% 3.53/3.70 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10498, 82, 10487, 10492])).
% 3.53/3.70 tff(10500,plain,
% 3.53/3.70 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[689, 10499])).
% 3.53/3.70 tff(10501,plain,
% 3.53/3.70 (~r(s(s(s(z))), z)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[3135, 82, 234, 10487])).
% 3.53/3.70 tff(10502,plain,
% 3.53/3.70 (b(s(s(s(z))), z)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[135, 10501])).
% 3.53/3.70 tff(10503,plain,
% 3.53/3.70 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.70 inference(rewrite,[status(thm)],[])).
% 3.53/3.70 tff(10504,plain,
% 3.53/3.70 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.70 inference(quant_inst,[status(thm)],[])).
% 3.53/3.70 tff(10505,plain,
% 3.53/3.70 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[10504, 10503])).
% 3.53/3.70 tff(10506,plain,
% 3.53/3.70 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10505, 82, 10487, 10492])).
% 3.53/3.70 tff(10507,plain,
% 3.53/3.70 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1011, 10506])).
% 3.53/3.70 tff(10508,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[2906, 338, 1741, 3348, 987, 539, 175])).
% 3.53/3.70 tff(10509,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10510,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10509, 10507, 10502, 175, 10500, 10489])).
% 3.53/3.70 tff(10511,plain,((~(s(s(elem!1)) = elem!1)) | (~b(s(s(s(s(z)))), z)) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | b(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10512,plain,
% 3.53/3.70 (~(s(s(elem!1)) = elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10511, 10479, 234, 175, 3468])).
% 3.53/3.70 tff(10513,plain,
% 3.53/3.70 (~(elem!1 = s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[2015, 10512])).
% 3.53/3.70 tff(10514,plain,
% 3.53/3.70 (b(elem!1, s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[321, 10513, 288])).
% 3.53/3.70 tff(10515,plain,
% 3.53/3.70 (b(s(s(elem!1)), elem!1)),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[327, 10512, 263])).
% 3.53/3.70 tff(10516,plain,
% 3.53/3.70 (s(z) = elem!1),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[8275, 10515, 165, 234, 1731, 10514])).
% 3.53/3.70 tff(10517,plain,
% 3.53/3.70 (s(s(z)) = s(elem!1)),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10516])).
% 3.53/3.70 tff(10518,plain,
% 3.53/3.70 (s(s(s(z))) = s(s(elem!1))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10517])).
% 3.53/3.70 tff(10519,plain,
% 3.53/3.70 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10518])).
% 3.53/3.70 tff(10520,plain,
% 3.53/3.70 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10519])).
% 3.53/3.70 tff(10521,plain,
% 3.53/3.70 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.70 inference(symmetry,[status(thm)],[10520])).
% 3.53/3.70 tff(10522,plain,
% 3.53/3.70 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.70 inference(modus_ponens,[status(thm)],[6387, 10521])).
% 3.53/3.70 tff(10523,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[1267, 10522])).
% 3.53/3.70 tff(10524,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | b(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10525,plain,
% 3.53/3.70 (b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10524, 1731, 165, 234, 175, 6387, 1267])).
% 3.53/3.70 tff(10526,plain,
% 3.53/3.70 ($false),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10525, 10445])).
% 3.53/3.70 tff(10527,plain,((~r(z, s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.70 tff(10528,plain,
% 3.53/3.70 (~r(z, s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[10527, 10423, 234, 175, 6387, 1267, 165, 747, 10422])).
% 3.53/3.70 tff(10529,plain,
% 3.53/3.70 (~(elem!1 = s(z))),
% 3.53/3.70 inference(unit_resolution,[status(thm)],[899, 10528, 234])).
% 3.53/3.70 tff(10530,plain,
% 3.53/3.70 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(elem!1)))))),
% 3.53/3.70 inference(rewrite,[status(thm)],[])).
% 3.53/3.70 tff(10531,plain,
% 3.53/3.70 (((~r(z, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, z))) <=> ((~r(z, z)) | (~r(z, s(s(elem!1)))))),
% 3.53/3.70 inference(rewrite,[status(thm)],[])).
% 3.53/3.70 tff(10532,plain,
% 3.53/3.70 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(s(elem!1))))))),
% 3.53/3.70 inference(monotonicity,[status(thm)],[10531])).
% 3.53/3.70 tff(10533,plain,
% 3.53/3.70 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(elem!1)))))),
% 3.53/3.70 inference(transitivity,[status(thm)],[10532, 10530])).
% 3.53/3.70 tff(10534,plain,
% 3.53/3.70 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, z)))),
% 3.53/3.70 inference(quant_inst,[status(thm)],[])).
% 3.53/3.70 tff(10535,plain,
% 3.53/3.70 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(elem!1))))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 3.53/3.71 tff(10536,plain,
% 3.53/3.71 (~r(z, z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10535, 82, 165])).
% 3.53/3.71 tff(10537,plain,
% 3.53/3.71 (r(z, elem!1) <=> r(z, z)),
% 3.53/3.71 inference(monotonicity,[status(thm)],[712])).
% 3.53/3.71 tff(10538,plain,
% 3.53/3.71 (r(z, z) <=> r(z, elem!1)),
% 3.53/3.71 inference(symmetry,[status(thm)],[10537])).
% 3.53/3.71 tff(10539,plain,
% 3.53/3.71 ((~r(z, z)) <=> (~r(z, elem!1))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10538])).
% 3.53/3.71 tff(10540,assumption,(~r(z, z)), introduced(assumption)).
% 3.53/3.71 tff(10541,plain,
% 3.53/3.71 (~r(z, elem!1)),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[10540, 10539])).
% 3.53/3.71 tff(10542,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[234, 10541])).
% 3.53/3.71 tff(10543,plain,((~(elem!1 = z)) | (~r(z, elem!1)) | r(z, z)), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10544,plain,
% 3.53/3.71 (~(elem!1 = z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10543, 234, 10536])).
% 3.53/3.71 tff(10545,plain,
% 3.53/3.71 (~r(s(z), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[855, 10422, 10423, 747, 10544, 10529, 234])).
% 3.53/3.71 tff(10546,plain,
% 3.53/3.71 (b(s(z), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[26, 10545])).
% 3.53/3.71 tff(10547,plain,
% 3.53/3.71 (b(z, s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[403, 10528])).
% 3.53/3.71 tff(10548,plain,
% 3.53/3.71 (~(s(z) = elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[752, 10529])).
% 3.53/3.71 tff(10549,plain,
% 3.53/3.71 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1280, 7154])).
% 3.53/3.71 tff(10550,plain,
% 3.53/3.71 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2611, 10549])).
% 3.53/3.71 tff(10551,plain,
% 3.53/3.71 (s(s(s(z))) = s(elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[4794, 4790])).
% 3.53/3.71 tff(10552,plain,
% 3.53/3.71 (s(elem!1) = s(s(s(z)))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[3985, 10551])).
% 3.53/3.71 tff(10553,plain,
% 3.53/3.71 (~(s(s(s(elem!1))) = elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[3655, 10552])).
% 3.53/3.71 tff(10554,plain,
% 3.53/3.71 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[4790])).
% 3.53/3.71 tff(10555,plain,
% 3.53/3.71 (b(s(s(elem!1)), s(z))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[2911, 10554])).
% 3.53/3.71 tff(10556,plain,
% 3.53/3.71 (~b(s(z), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[772, 10555, 747, 763, 10423])).
% 3.53/3.71 tff(10557,plain,
% 3.53/3.71 (r(s(z), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[701, 10556, 691])).
% 3.53/3.71 tff(10558,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10559,plain,
% 3.53/3.71 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10560,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10559])).
% 3.53/3.71 tff(10561,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.53/3.71 inference(transitivity,[status(thm)],[10560, 10558])).
% 3.53/3.71 tff(10562,plain,
% 3.53/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 3.53/3.71 inference(quant_inst,[status(thm)],[])).
% 3.53/3.71 tff(10563,plain,
% 3.53/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 3.53/3.71 tff(10564,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10563, 338, 6387, 747, 1871, 1991, 764])).
% 3.53/3.71 tff(10565,plain,((~r(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10566,plain,
% 3.53/3.71 (~r(s(s(s(elem!1))), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10565, 10557, 6387, 747, 10555])).
% 3.53/3.71 tff(10567,plain,
% 3.53/3.71 (b(s(s(s(elem!1))), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2162, 10566, 10553])).
% 3.53/3.71 tff(10568,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[6694, 338, 763, 2636, 762, 6387, 6386])).
% 3.53/3.71 tff(10569,plain,((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10570,plain,
% 3.53/3.71 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10569, 10567, 10423, 6387, 763])).
% 3.53/3.71 tff(10571,plain,
% 3.53/3.71 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2619, 10570, 10550])).
% 3.53/3.71 tff(10572,plain,
% 3.53/3.71 (~(elem!1 = s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1924, 10553])).
% 3.53/3.71 tff(10573,plain,
% 3.53/3.71 (~r(z, s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[7576, 10572, 165, 234, 137])).
% 3.53/3.71 tff(10574,plain,
% 3.53/3.71 (b(z, s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1373, 10573])).
% 3.53/3.71 tff(10575,plain,
% 3.53/3.71 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[6684, 10567, 234, 6387, 763, 10574, 306, 10423, 165])).
% 3.53/3.71 tff(10576,plain,
% 3.53/3.71 (r(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1515, 10575, 215])).
% 3.53/3.71 tff(10577,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2629, 10576, 10571, 264])).
% 3.53/3.71 tff(10578,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (s(elem!1) = elem!1) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (~b(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10579,plain,
% 3.53/3.71 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10578, 2911, 747, 234, 6387, 10422, 294, 165, 210, 264, 10548, 137])).
% 3.53/3.71 tff(10580,plain,
% 3.53/3.71 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10478, 10579, 1267])).
% 3.53/3.71 tff(10581,plain,
% 3.53/3.71 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10582,plain,
% 3.53/3.71 (((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10583,plain,
% 3.53/3.71 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(z))))))))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10582])).
% 3.53/3.71 tff(10584,plain,
% 3.53/3.71 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))))),
% 3.53/3.71 inference(transitivity,[status(thm)],[10583, 10581])).
% 3.53/3.71 tff(10585,plain,
% 3.53/3.71 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))))),
% 3.53/3.71 inference(quant_inst,[status(thm)],[])).
% 3.53/3.71 tff(10586,plain,
% 3.53/3.71 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(z))))))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 3.53/3.71 tff(10587,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10586, 82, 165, 371, 10491])).
% 3.53/3.71 tff(10588,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10589,plain,
% 3.53/3.71 (~r(z, s(s(s(s(z)))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10588, 10580, 165])).
% 3.53/3.71 tff(10590,plain,
% 3.53/3.71 (b(z, s(s(s(s(z)))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[391, 10589])).
% 3.53/3.71 tff(10591,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10592,plain,
% 3.53/3.71 (((~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10593,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10592])).
% 3.53/3.71 tff(10594,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.71 inference(transitivity,[status(thm)],[10593, 10591])).
% 3.53/3.71 tff(10595,plain,
% 3.53/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.53/3.71 inference(quant_inst,[status(thm)],[])).
% 3.53/3.71 tff(10596,plain,
% 3.53/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[10595, 10594])).
% 3.53/3.71 tff(10597,plain,
% 3.53/3.71 (~b(s(z), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10596, 338, 10423, 747, 10547, 2911, 175])).
% 3.53/3.71 tff(10598,plain,
% 3.53/3.71 (r(s(z), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[701, 10597, 10548])).
% 3.53/3.71 tff(10599,plain,
% 3.53/3.71 (~r(s(z), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[759, 10598, 234])).
% 3.53/3.71 tff(10600,plain,
% 3.53/3.71 (b(s(z), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[26, 10599])).
% 3.53/3.71 tff(10601,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[3272, 338, 10547, 10600, 2911, 175, 10590])).
% 3.53/3.71 tff(10602,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, elem!1)) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10603,plain,
% 3.53/3.71 (~b(s(s(s(s(z)))), s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10602, 10433, 234, 747, 165, 1267, 6387, 175, 137])).
% 3.53/3.71 tff(10604,plain,
% 3.53/3.71 (r(s(s(s(s(z)))), s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[119, 10603])).
% 3.53/3.71 tff(10605,plain,
% 3.53/3.71 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[1013])).
% 3.53/3.71 tff(10606,plain,
% 3.53/3.71 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.71 inference(symmetry,[status(thm)],[10605])).
% 3.53/3.71 tff(10607,plain,
% 3.53/3.71 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[762, 10606])).
% 3.53/3.71 tff(10608,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1267, 10607])).
% 3.53/3.71 tff(10609,plain,((~(s(s(s(s(z)))) = elem!1)) | b(s(s(s(s(z)))), s(s(elem!1))) | (~b(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10610,plain,
% 3.53/3.71 (~(s(s(s(s(z)))) = elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10609, 10423, 1267])).
% 3.53/3.71 tff(10611,plain,
% 3.53/3.71 (~r(s(z), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[855, 10422, 10423, 747, 10544, 720, 234])).
% 3.53/3.71 tff(10612,plain,
% 3.53/3.71 (b(s(z), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[26, 10611])).
% 3.53/3.71 tff(10613,plain,
% 3.53/3.71 (~(z = elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2752, 10544])).
% 3.53/3.71 tff(10614,plain,
% 3.53/3.71 (~(s(elem!1) = s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1912, 10613])).
% 3.53/3.71 tff(10615,plain,
% 3.53/3.71 (~b(s(s(elem!1)), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[6963, 764, 747, 1740, 486])).
% 3.53/3.71 tff(10616,plain,
% 3.53/3.71 (r(s(s(elem!1)), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[800, 10615])).
% 3.53/3.71 tff(10617,plain,
% 3.53/3.71 (~r(s(elem!1), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[5958, 10616, 264])).
% 3.53/3.71 tff(10618,plain,
% 3.53/3.71 (b(s(elem!1), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1812, 10617])).
% 3.53/3.71 tff(10619,plain,
% 3.53/3.71 (~b(s(z), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[772, 764, 747, 10422, 10423])).
% 3.53/3.71 tff(10620,plain,
% 3.53/3.71 (r(s(z), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[701, 10619, 691])).
% 3.53/3.71 tff(10621,plain,
% 3.53/3.71 (~r(s(s(s(elem!1))), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10565, 10620, 6387, 747, 764])).
% 3.53/3.71 tff(10622,plain,
% 3.53/3.71 (~r(z, s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[7576, 1925, 165, 234, 137])).
% 3.53/3.71 tff(10623,plain,
% 3.53/3.71 (b(z, s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1373, 10622])).
% 3.53/3.71 tff(10624,plain,
% 3.53/3.71 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[6684, 10623, 234, 6387, 10422, 2631, 294, 10423, 165])).
% 3.53/3.71 tff(10625,plain,
% 3.53/3.71 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10569, 2631, 10423, 6387, 10422])).
% 3.53/3.71 tff(10626,plain,
% 3.53/3.71 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2619, 10625, 7060])).
% 3.53/3.71 tff(10627,plain,
% 3.53/3.71 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2629, 10626, 264])).
% 3.53/3.71 tff(10628,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1515, 10627, 10624, 210])).
% 3.53/3.71 tff(10629,plain,((s(s(s(elem!1))) = elem!1) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10630,plain,
% 3.53/3.71 (s(s(s(elem!1))) = elem!1),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10629, 10621, 234, 6387, 165, 137, 264])).
% 3.53/3.71 tff(10631,plain,
% 3.53/3.71 (~b(s(elem!1), s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[4621, 486, 1740, 1597, 1796])).
% 3.53/3.71 tff(10632,plain,
% 3.53/3.71 (r(s(elem!1), s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2070, 10631, 1917])).
% 3.53/3.71 tff(10633,plain,
% 3.53/3.71 (~b(s(z), s(s(elem!1)))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[8691, 10632, 763, 2143, 691, 305, 762, 215, 306])).
% 3.53/3.71 tff(10634,plain,
% 3.53/3.71 (~b(s(z), s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[4302, 486, 1740, 1796, 1597])).
% 3.53/3.71 tff(10635,plain,
% 3.53/3.71 (r(s(z), s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[3066, 10634, 3058])).
% 3.53/3.71 tff(10636,plain,
% 3.53/3.71 (~r(s(z), s(s(elem!1)))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[8352, 10635, 264])).
% 3.53/3.71 tff(10637,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[743, 10636, 10633])).
% 3.53/3.71 tff(10638,plain,((~b(z, s(z))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~(s(s(s(elem!1))) = elem!1)) | (s(z) = elem!1) | b(s(elem!1), elem!1) | (~b(elem!1, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (s(elem!1) = s(z)) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10639,plain,
% 3.53/3.71 (b(s(elem!1), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10638, 10630, 486, 10422, 691, 10618, 10423, 210, 294, 10614, 1740, 264, 6584])).
% 3.53/3.71 tff(10640,plain,
% 3.53/3.71 (~b(s(elem!1), s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[4621, 10618, 1740, 486, 6584])).
% 3.53/3.71 tff(10641,plain,
% 3.53/3.71 (r(s(elem!1), s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2070, 10640, 10614])).
% 3.53/3.71 tff(10642,plain,
% 3.53/3.71 (~r(s(s(s(s(z)))), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2949, 10620, 72])).
% 3.53/3.71 tff(10643,plain,
% 3.53/3.71 (b(s(s(s(s(z)))), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1144, 10642, 1039])).
% 3.53/3.71 tff(10644,plain,
% 3.53/3.71 (~(z = elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[906, 795, 763])).
% 3.53/3.71 tff(10645,plain,
% 3.53/3.71 (~(s(elem!1) = s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1912, 10644])).
% 3.53/3.71 tff(10646,plain,
% 3.53/3.71 (~(s(z) = s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1919, 10645])).
% 3.53/3.71 tff(10647,plain,
% 3.53/3.71 (r(s(s(elem!1)), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[800, 795])).
% 3.53/3.71 tff(10648,plain,
% 3.53/3.71 (~r(s(elem!1), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[5958, 10647, 264])).
% 3.53/3.71 tff(10649,plain,
% 3.53/3.71 (b(s(elem!1), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1812, 10648])).
% 3.53/3.71 tff(10650,plain,
% 3.53/3.71 (~b(s(z), s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[4302, 10649, 486, 1597, 1740])).
% 3.53/3.71 tff(10651,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[3066, 10650, 10646, 3063])).
% 3.53/3.71 tff(10652,plain,(b(s(s(elem!1)), z) | r(s(z), s(elem!1)) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10653,plain,
% 3.53/3.71 (r(s(z), s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10652, 10615, 10422, 1740, 6584, 264, 486])).
% 3.53/3.71 tff(10654,plain,
% 3.53/3.71 (~r(elem!1, s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1981, 10653, 10620])).
% 3.53/3.71 tff(10655,plain,
% 3.53/3.71 (b(elem!1, s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[252, 10654, 232])).
% 3.53/3.71 tff(10656,plain,
% 3.53/3.71 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10630])).
% 3.53/3.71 tff(10657,plain,
% 3.53/3.71 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10656])).
% 3.53/3.71 tff(10658,plain,
% 3.53/3.71 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10657])).
% 3.53/3.71 tff(10659,plain,
% 3.53/3.71 (s(s(s(s(s(s(elem!1)))))) = elem!1),
% 3.53/3.71 inference(transitivity,[status(thm)],[10658, 10630])).
% 3.53/3.71 tff(10660,plain,
% 3.53/3.71 (s(s(s(s(s(s(s(elem!1))))))) = s(elem!1)),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10659])).
% 3.53/3.71 tff(10661,plain,
% 3.53/3.71 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10660])).
% 3.53/3.71 tff(10662,plain,
% 3.53/3.71 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10661])).
% 3.53/3.71 tff(10663,plain,
% 3.53/3.71 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[3645, 10662])).
% 3.53/3.71 tff(10664,plain,
% 3.53/3.71 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 3.53/3.71 inference(transitivity,[status(thm)],[10661, 3630])).
% 3.53/3.71 tff(10665,plain,
% 3.53/3.71 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10664])).
% 3.53/3.71 tff(10666,plain,
% 3.53/3.71 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[3645, 10665])).
% 3.53/3.71 tff(10667,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[4923, 10666, 10663, 108, 10655, 10643, 10641, 10639])).
% 3.53/3.71 tff(10668,plain,((~b(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (s(z) = elem!1) | (~b(s(z), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (s(s(s(s(z)))) = elem!1) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10669,plain,
% 3.53/3.71 (~b(s(s(elem!1)), s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10668, 72, 486, 753, 10612, 10433, 234, 6387, 165, 137, 10610, 747, 108])).
% 3.53/3.71 tff(10670,plain,
% 3.53/3.71 (r(s(s(elem!1)), s(z))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[784, 10669])).
% 3.53/3.71 tff(10671,plain,
% 3.53/3.71 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10672,plain,
% 3.53/3.71 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.71 inference(quant_inst,[status(thm)],[])).
% 3.53/3.71 tff(10673,plain,
% 3.53/3.71 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1))))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[10672, 10671])).
% 3.53/3.71 tff(10674,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10673, 82, 786, 108, 10491])).
% 3.53/3.71 tff(10675,plain,((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10676,plain,
% 3.53/3.71 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10675, 10670, 108])).
% 3.53/3.71 tff(10677,plain,
% 3.53/3.71 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10478, 10676, 1267])).
% 3.53/3.71 tff(10678,plain,
% 3.53/3.71 (s(s(s(z))) = s(elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[4794, 10677])).
% 3.53/3.71 tff(10679,plain,
% 3.53/3.71 (s(elem!1) = s(s(s(z)))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[3985, 10678])).
% 3.53/3.71 tff(10680,plain,
% 3.53/3.71 (~(s(s(s(elem!1))) = elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[3655, 10679])).
% 3.53/3.71 tff(10681,plain,
% 3.53/3.71 (r(s(s(s(elem!1))), elem!1)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10629, 10680, 234, 6387, 165, 137, 10433])).
% 3.53/3.71 tff(10682,plain,
% 3.53/3.71 (~r(s(s(s(elem!1))), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[2157, 10681, 234])).
% 3.53/3.71 tff(10683,plain,
% 3.53/3.71 (b(s(s(s(elem!1))), z)),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1387, 10682])).
% 3.53/3.71 tff(10684,plain,
% 3.53/3.71 (~(elem!1 = s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1924, 10680])).
% 3.53/3.71 tff(10685,plain,
% 3.53/3.71 (~r(z, s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[7576, 10684, 165, 234, 137])).
% 3.53/3.71 tff(10686,plain,
% 3.53/3.71 (b(z, s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1373, 10685])).
% 3.53/3.71 tff(10687,plain,
% 3.53/3.71 (~r(z, s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[272, 10433, 165])).
% 3.53/3.71 tff(10688,plain,
% 3.53/3.71 (b(z, s(elem!1))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1615, 10687])).
% 3.53/3.71 tff(10689,plain,
% 3.53/3.71 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[3983])).
% 3.53/3.71 tff(10690,plain,
% 3.53/3.71 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.53/3.71 inference(symmetry,[status(thm)],[10689])).
% 3.53/3.71 tff(10691,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[363, 10690])).
% 3.53/3.71 tff(10692,plain,((~(s(s(s(z))) = s(elem!1))) | (s(s(elem!1)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10693,plain,
% 3.53/3.71 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10692, 10678])).
% 3.53/3.71 tff(10694,plain,
% 3.53/3.71 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[183])).
% 3.53/3.71 tff(10695,plain,
% 3.53/3.71 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.53/3.71 inference(symmetry,[status(thm)],[10694])).
% 3.53/3.71 tff(10696,plain,
% 3.53/3.71 (b(s(s(s(s(z)))), s(elem!1))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[987, 10695])).
% 3.53/3.71 tff(10697,plain,
% 3.53/3.71 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[178])).
% 3.53/3.71 tff(10698,plain,
% 3.53/3.71 ((~b(s(s(elem!1)), s(elem!1))) <=> (~b(s(s(s(s(z)))), s(elem!1)))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10697])).
% 3.53/3.71 tff(10699,plain,
% 3.53/3.71 (~b(s(s(s(s(z)))), s(elem!1))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[2605, 10698])).
% 3.53/3.71 tff(10700,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10699, 10696])).
% 3.53/3.71 tff(10701,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10702,plain,
% 3.53/3.71 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10701, 10693, 2605])).
% 3.53/3.71 tff(10703,plain,
% 3.53/3.71 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[1011, 10702])).
% 3.53/3.71 tff(10704,plain,
% 3.53/3.71 (~r(s(z), s(s(s(z))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[3437, 10703, 108])).
% 3.53/3.71 tff(10705,plain,
% 3.53/3.71 (b(s(z), s(s(s(z))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[424, 10704])).
% 3.53/3.71 tff(10706,plain,
% 3.53/3.71 (~r(z, s(s(s(z))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[189, 10693, 10687])).
% 3.53/3.71 tff(10707,plain,
% 3.53/3.71 (b(z, s(s(s(z))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[149, 10706])).
% 3.53/3.71 tff(10708,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10709,plain,
% 3.53/3.71 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))))),
% 3.53/3.71 inference(rewrite,[status(thm)],[])).
% 3.53/3.71 tff(10710,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z)))))))),
% 3.53/3.71 inference(monotonicity,[status(thm)],[10709])).
% 3.53/3.71 tff(10711,plain,
% 3.53/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))))),
% 3.53/3.71 inference(transitivity,[status(thm)],[10710, 10708])).
% 3.53/3.71 tff(10712,plain,
% 3.53/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))),
% 3.53/3.71 inference(quant_inst,[status(thm)],[])).
% 3.53/3.71 tff(10713,plain,
% 3.53/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z)))))),
% 3.53/3.71 inference(modus_ponens,[status(thm)],[10712, 10711])).
% 3.53/3.71 tff(10714,plain,
% 3.53/3.71 ($false),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10713, 338, 1596, 486, 457, 1740, 3348, 1880])).
% 3.53/3.71 tff(10715,plain,((~b(s(s(s(elem!1))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.71 tff(10716,plain,
% 3.53/3.71 (~b(s(z), s(s(s(elem!1))))),
% 3.53/3.71 inference(unit_resolution,[status(thm)],[10715, 10683, 10612, 486, 10707, 10705])).
% 3.53/3.71 tff(10717,plain,
% 3.53/3.71 (r(s(z), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1870, 10716])).
% 3.53/3.72 tff(10718,plain,
% 3.53/3.72 (~(s(z) = s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1919, 10614])).
% 3.53/3.72 tff(10719,plain,
% 3.53/3.72 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.72 inference(rewrite,[status(thm)],[])).
% 3.53/3.72 tff(10720,plain,
% 3.53/3.72 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.72 inference(quant_inst,[status(thm)],[])).
% 3.53/3.72 tff(10721,plain,
% 3.53/3.72 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[10720, 10719])).
% 3.53/3.72 tff(10722,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10721, 82, 1038, 1122, 426])).
% 3.53/3.72 tff(10723,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10724,plain,
% 3.53/3.72 (~r(s(s(s(z))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10723, 1038, 1122])).
% 3.53/3.72 tff(10725,plain,
% 3.53/3.72 (b(s(s(s(z))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[135, 10724])).
% 3.53/3.72 tff(10726,plain,
% 3.53/3.72 (~r(s(z), s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[4106, 1038, 72])).
% 3.53/3.72 tff(10727,plain,
% 3.53/3.72 (b(s(z), s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[424, 10726])).
% 3.53/3.72 tff(10728,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3859, 10727, 10725, 1740, 4124, 486])).
% 3.53/3.72 tff(10729,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10730,plain,
% 3.53/3.72 (~r(s(s(s(s(z)))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10729, 10703, 486, 10612, 72])).
% 3.53/3.72 tff(10731,plain,
% 3.53/3.72 (~b(s(s(s(z))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3356, 10705, 10612, 486, 10707])).
% 3.53/3.72 tff(10732,plain,
% 3.53/3.72 (r(s(s(s(z))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[437, 10731])).
% 3.53/3.72 tff(10733,plain,
% 3.53/3.72 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[2959, 10732, 72])).
% 3.53/3.72 tff(10734,plain,
% 3.53/3.72 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[689, 10733])).
% 3.53/3.72 tff(10735,plain,
% 3.53/3.72 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[4790])).
% 3.53/3.72 tff(10736,plain,
% 3.53/3.72 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10735])).
% 3.53/3.72 tff(10737,plain,
% 3.53/3.72 ((~b(s(s(s(z))), s(s(elem!1)))) <=> (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10736])).
% 3.53/3.72 tff(10738,plain,
% 3.53/3.72 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[3468, 10737])).
% 3.53/3.72 tff(10739,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[539, 10738])).
% 3.53/3.72 tff(10740,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10741,plain,
% 3.53/3.72 (b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10740, 10734, 10677])).
% 3.53/3.72 tff(10742,plain,
% 3.53/3.72 (~r(s(z), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1862, 10717, 10681])).
% 3.53/3.72 tff(10743,plain,
% 3.53/3.72 (b(s(z), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[701, 10742, 753])).
% 3.53/3.72 tff(10744,plain,
% 3.53/3.72 (~b(elem!1, s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[839, 10743, 747, 10422, 10423])).
% 3.53/3.72 tff(10745,plain,
% 3.53/3.72 (r(elem!1, s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[819, 10744, 720])).
% 3.53/3.72 tff(10746,plain,
% 3.53/3.72 (~r(elem!1, s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3335, 10745, 10732])).
% 3.53/3.72 tff(10747,plain,
% 3.53/3.72 (~b(s(elem!1), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[4302, 3083, 486, 1597, 1740])).
% 3.53/3.72 tff(10748,plain,
% 3.53/3.72 (r(s(elem!1), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1812, 10747])).
% 3.53/3.72 tff(10749,plain,
% 3.53/3.72 (~r(s(elem!1), s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1823, 10748, 165])).
% 3.53/3.72 tff(10750,plain,
% 3.53/3.72 (b(s(elem!1), s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3081, 10749, 1788])).
% 3.53/3.72 tff(10751,plain,
% 3.53/3.72 (~r(s(elem!1), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[4304, 3083, 234, 1740, 486])).
% 3.53/3.72 tff(10752,plain,
% 3.53/3.72 (b(s(elem!1), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[312, 10751, 306])).
% 3.53/3.72 tff(10753,plain,
% 3.53/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.72 inference(rewrite,[status(thm)],[])).
% 3.53/3.72 tff(10754,plain,
% 3.53/3.72 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.72 inference(rewrite,[status(thm)],[])).
% 3.53/3.72 tff(10755,plain,
% 3.53/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10754])).
% 3.53/3.72 tff(10756,plain,
% 3.53/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.72 inference(transitivity,[status(thm)],[10755, 10753])).
% 3.53/3.72 tff(10757,plain,
% 3.53/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.53/3.72 inference(quant_inst,[status(thm)],[])).
% 3.53/3.72 tff(10758,plain,
% 3.53/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 3.53/3.72 tff(10759,plain,
% 3.53/3.72 (~b(elem!1, s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10758, 338, 763, 762, 10752, 10750, 3254])).
% 3.53/3.72 tff(10760,plain,
% 3.53/3.72 (elem!1 = s(s(s(z)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1160, 10759, 1154])).
% 3.53/3.72 tff(10761,plain,
% 3.53/3.72 (s(elem!1) = s(s(s(s(z))))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10760])).
% 3.53/3.72 tff(10762,plain,
% 3.53/3.72 (r(s(elem!1), z) <=> r(s(s(s(s(z)))), z)),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10761])).
% 3.53/3.72 tff(10763,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), z) <=> r(s(elem!1), z)),
% 3.53/3.72 inference(symmetry,[status(thm)],[10762])).
% 3.53/3.72 tff(10764,plain,
% 3.53/3.72 ((~r(s(s(s(s(z)))), z)) <=> (~r(s(elem!1), z))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10763])).
% 3.53/3.72 tff(10765,plain,
% 3.53/3.72 (~r(s(elem!1), z)),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[121, 10764])).
% 3.53/3.72 tff(10766,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10748, 10765])).
% 3.53/3.72 tff(10767,plain,((~b(s(z), s(elem!1))) | r(s(s(s(s(z)))), z) | r(elem!1, s(s(s(z)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10768,plain,
% 3.53/3.72 (~b(s(z), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10767, 10746, 10741, 10422, 10423, 10730, 6853, 165, 294, 486, 10688, 10612, 234])).
% 3.53/3.72 tff(10769,plain,
% 3.53/3.72 (r(s(z), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3066, 10768, 10718])).
% 3.53/3.72 tff(10770,plain,
% 3.53/3.72 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[6317, 10769, 10717])).
% 3.53/3.72 tff(10771,plain,
% 3.53/3.72 (b(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1971, 10770, 218])).
% 3.53/3.72 tff(10772,plain,
% 3.53/3.72 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1605, 10771, 10688, 10686, 10683])).
% 3.53/3.72 tff(10773,plain,
% 3.53/3.72 (r(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1515, 10772, 210])).
% 3.53/3.72 tff(10774,plain,
% 3.53/3.72 (~b(s(elem!1), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1829, 10771, 165, 10688, 6853, 10686, 10683, 10422])).
% 3.53/3.72 tff(10775,plain,
% 3.53/3.72 (r(s(elem!1), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[312, 10774, 294])).
% 3.53/3.72 tff(10776,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1510, 10775, 10773, 10681])).
% 3.53/3.72 tff(10777,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~b(z, s(z))) | (~r(z, elem!1)) | (elem!1 = s(z)) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(s(elem!1)), s(elem!1)) | b(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10778,plain,
% 3.53/3.72 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10777, 10547, 165, 234, 10529, 747, 10604, 137, 6387, 2605, 1267])).
% 3.53/3.72 tff(10779,plain,
% 3.53/3.72 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[106, 10778])).
% 3.53/3.72 tff(10780,plain,
% 3.53/3.72 (~b(z, s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3505, 10779, 175, 10547, 10546])).
% 3.53/3.72 tff(10781,plain,
% 3.53/3.72 (r(z, s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[391, 10780])).
% 3.53/3.72 tff(10782,plain,
% 3.53/3.72 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10588, 10781, 165])).
% 3.53/3.72 tff(10783,plain,
% 3.53/3.72 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10478, 10782, 1267])).
% 3.53/3.72 tff(10784,plain,
% 3.53/3.72 (s(s(s(z))) = s(elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[4794, 10783])).
% 3.53/3.72 tff(10785,plain,
% 3.53/3.72 (s(elem!1) = s(s(s(z)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3985, 10784])).
% 3.53/3.72 tff(10786,plain,
% 3.53/3.72 (~(s(s(s(elem!1))) = elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3655, 10785])).
% 3.53/3.72 tff(10787,plain,
% 3.53/3.72 (r(s(s(s(elem!1))), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10629, 10786, 234, 6387, 165, 137, 10433])).
% 3.53/3.72 tff(10788,plain,
% 3.53/3.72 (~r(s(s(s(elem!1))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[2157, 10787, 234])).
% 3.53/3.72 tff(10789,plain,
% 3.53/3.72 (b(s(s(s(elem!1))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1387, 10788])).
% 3.53/3.72 tff(10790,plain,
% 3.53/3.72 (~(elem!1 = s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1924, 10786])).
% 3.53/3.72 tff(10791,plain,
% 3.53/3.72 (~r(z, s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[7576, 10790, 165, 234, 137])).
% 3.53/3.72 tff(10792,plain,
% 3.53/3.72 (b(z, s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1373, 10791])).
% 3.53/3.72 tff(10793,plain,
% 3.53/3.72 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10692, 10784])).
% 3.53/3.72 tff(10794,plain,
% 3.53/3.72 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10701, 10793, 2605])).
% 3.53/3.72 tff(10795,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1011, 10794])).
% 3.53/3.72 tff(10796,plain,
% 3.53/3.72 (~r(s(z), s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3437, 10795, 10604])).
% 3.53/3.72 tff(10797,plain,
% 3.53/3.72 (b(s(z), s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[424, 10796])).
% 3.53/3.72 tff(10798,plain,
% 3.53/3.72 (~r(z, s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[189, 10793, 10687])).
% 3.53/3.72 tff(10799,plain,
% 3.53/3.72 (b(z, s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[149, 10798])).
% 3.53/3.72 tff(10800,plain,
% 3.53/3.72 (~b(s(z), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10715, 10789, 10546, 10547, 10799, 10797])).
% 3.53/3.72 tff(10801,plain,
% 3.53/3.72 (r(s(z), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1870, 10800])).
% 3.53/3.72 tff(10802,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3859, 5553, 4124, 1740, 1741, 486])).
% 3.53/3.72 tff(10803,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10804,plain,
% 3.53/3.72 (~b(s(s(s(z))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10803, 1038, 1740, 486, 108, 1122])).
% 3.53/3.72 tff(10805,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[135, 10804, 10724])).
% 3.53/3.72 tff(10806,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10807,plain,
% 3.53/3.72 (~r(s(s(s(s(z)))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10806, 10795, 10547, 10546, 10604])).
% 3.53/3.72 tff(10808,plain,
% 3.53/3.72 (~r(s(s(s(z))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[7735, 911, 486, 1740, 175])).
% 3.53/3.72 tff(10809,plain,
% 3.53/3.72 (b(s(s(s(z))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[437, 10808])).
% 3.53/3.72 tff(10810,plain,
% 3.53/3.72 (~b(s(s(s(z))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3607, 10809, 1740, 3348, 486])).
% 3.53/3.72 tff(10811,plain,
% 3.53/3.72 (r(s(s(s(z))), z)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[135, 10810])).
% 3.53/3.72 tff(10812,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[4987, 82, 911, 10811, 371])).
% 3.53/3.72 tff(10813,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10814,plain,
% 3.53/3.72 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10813, 10799, 175, 10547, 10546, 10781])).
% 3.53/3.72 tff(10815,plain,
% 3.53/3.72 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[689, 10814])).
% 3.53/3.72 tff(10816,plain,
% 3.53/3.72 (b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10740, 10815, 10783])).
% 3.53/3.72 tff(10817,plain,
% 3.53/3.72 (~b(s(s(s(z))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3356, 10797, 10546, 10547, 10799])).
% 3.53/3.72 tff(10818,plain,
% 3.53/3.72 (r(s(s(s(z))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[437, 10817])).
% 3.53/3.72 tff(10819,plain,
% 3.53/3.72 (~r(s(z), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1862, 10801, 10787])).
% 3.53/3.72 tff(10820,plain,
% 3.53/3.72 (b(s(z), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[701, 10819, 10548])).
% 3.53/3.72 tff(10821,plain,
% 3.53/3.72 (~b(elem!1, s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[839, 10820, 747, 10422, 10423])).
% 3.53/3.72 tff(10822,plain,
% 3.53/3.72 (r(elem!1, s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[819, 10821, 10529])).
% 3.53/3.72 tff(10823,plain,
% 3.53/3.72 (~r(elem!1, s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3335, 10822, 10818])).
% 3.53/3.72 tff(10824,plain,
% 3.53/3.72 (~b(s(z), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10767, 10823, 10816, 10422, 10423, 10807, 6853, 165, 294, 10547, 10688, 10546, 234])).
% 3.53/3.72 tff(10825,plain,
% 3.53/3.72 (r(s(z), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3066, 10824, 10718])).
% 3.53/3.72 tff(10826,plain,
% 3.53/3.72 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[6317, 10825, 10801])).
% 3.53/3.72 tff(10827,plain,
% 3.53/3.72 (b(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1971, 10826, 218])).
% 3.53/3.72 tff(10828,plain,
% 3.53/3.72 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1605, 10827, 10688, 10792, 10789])).
% 3.53/3.72 tff(10829,plain,
% 3.53/3.72 (r(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1515, 10828, 210])).
% 3.53/3.72 tff(10830,plain,
% 3.53/3.72 (~b(s(elem!1), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1829, 10827, 165, 10688, 6853, 10792, 10789, 10422])).
% 3.53/3.72 tff(10831,plain,
% 3.53/3.72 (r(s(elem!1), elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[312, 10830, 294])).
% 3.53/3.72 tff(10832,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1510, 10831, 10829, 10787])).
% 3.53/3.72 tff(10833,plain,((elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(s(elem!1)), s(elem!1)) | b(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10834,plain,
% 3.53/3.72 (elem!1 = s(s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10833, 1267, 234, 747, 175, 6387, 2605, 165])).
% 3.53/3.72 tff(10835,plain,
% 3.53/3.72 (s(s(s(elem!1))) = s(elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1418, 10834])).
% 3.53/3.72 tff(10836,plain,
% 3.53/3.72 (~(s(s(s(z))) = s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10460, 10835])).
% 3.53/3.72 tff(10837,plain,
% 3.53/3.72 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[4794, 10836])).
% 3.53/3.72 tff(10838,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10478, 10837, 1267])).
% 3.53/3.72 tff(10839,plain,
% 3.53/3.72 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10834])).
% 3.53/3.72 tff(10840,plain,
% 3.53/3.72 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), elem!1)),
% 3.53/3.72 inference(symmetry,[status(thm)],[10839])).
% 3.53/3.72 tff(10841,plain,
% 3.53/3.72 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10835])).
% 3.53/3.72 tff(10842,plain,
% 3.53/3.72 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), elem!1)),
% 3.53/3.72 inference(transitivity,[status(thm)],[10841, 10840])).
% 3.53/3.72 tff(10843,plain,
% 3.53/3.72 (b(s(elem!1), elem!1)),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[6387, 10842])).
% 3.53/3.72 tff(10844,plain,
% 3.53/3.72 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10834])).
% 3.53/3.72 tff(10845,plain,
% 3.53/3.72 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.53/3.72 inference(symmetry,[status(thm)],[10844])).
% 3.53/3.72 tff(10846,plain,
% 3.53/3.72 (s(s(elem!1)) = elem!1),
% 3.53/3.72 inference(symmetry,[status(thm)],[10834])).
% 3.53/3.72 tff(10847,plain,
% 3.53/3.72 (s(elem!1) = s(s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[217, 10835])).
% 3.53/3.72 tff(10848,plain,
% 3.53/3.72 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3225, 10847])).
% 3.53/3.72 tff(10849,plain,
% 3.53/3.72 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10848])).
% 3.53/3.72 tff(10850,plain,
% 3.53/3.72 (s(s(s(s(elem!1)))) = elem!1),
% 3.53/3.72 inference(transitivity,[status(thm)],[10849, 10846])).
% 3.53/3.72 tff(10851,plain,
% 3.53/3.72 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(elem!1, elem!1)),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10850, 10846])).
% 3.53/3.72 tff(10852,plain,
% 3.53/3.72 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10851])).
% 3.53/3.72 tff(10853,plain,
% 3.53/3.72 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.53/3.72 inference(transitivity,[status(thm)],[10852, 10845])).
% 3.53/3.72 tff(10854,plain,
% 3.53/3.72 ((~b(elem!1, elem!1)) <=> (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10853])).
% 3.53/3.72 tff(10855,plain,
% 3.53/3.72 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[7551, 10854])).
% 3.53/3.72 tff(10856,plain,
% 3.53/3.72 (~(s(s(s(elem!1))) = elem!1)),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[6576, 10855, 10843])).
% 3.53/3.72 tff(10857,plain,
% 3.53/3.72 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1287, 10856])).
% 3.53/3.72 tff(10858,plain,
% 3.53/3.72 (~(s(s(elem!1)) = s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1343, 10857])).
% 3.53/3.72 tff(10859,plain,
% 3.53/3.72 (r(s(s(elem!1)), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[277, 10858, 2605])).
% 3.53/3.72 tff(10860,plain,
% 3.53/3.72 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1431, 10834])).
% 3.53/3.72 tff(10861,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10834])).
% 3.53/3.72 tff(10862,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), elem!1)),
% 3.53/3.72 inference(symmetry,[status(thm)],[10861])).
% 3.53/3.72 tff(10863,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), elem!1)),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[10838, 10862])).
% 3.53/3.72 tff(10864,plain,
% 3.53/3.72 (b(elem!1, s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10834])).
% 3.53/3.72 tff(10865,plain,
% 3.53/3.72 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10864])).
% 3.53/3.72 tff(10866,plain,
% 3.53/3.72 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(elem!1))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10835])).
% 3.53/3.72 tff(10867,plain,
% 3.53/3.72 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10866])).
% 3.53/3.72 tff(10868,plain,
% 3.53/3.72 (b(s(s(elem!1)), s(elem!1)) <=> b(elem!1, s(s(s(elem!1))))),
% 3.53/3.72 inference(transitivity,[status(thm)],[10867, 10865])).
% 3.53/3.72 tff(10869,plain,
% 3.53/3.72 ((~b(s(s(elem!1)), s(elem!1))) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10868])).
% 3.53/3.72 tff(10870,plain,
% 3.53/3.72 (~b(elem!1, s(s(s(elem!1))))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[2605, 10869])).
% 3.53/3.72 tff(10871,plain,
% 3.53/3.72 (~(elem!1 = s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1924, 10856])).
% 3.53/3.72 tff(10872,plain,
% 3.53/3.72 (r(elem!1, s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1946, 10871, 10870])).
% 3.53/3.72 tff(10873,assumption,(r(s(s(s(s(z)))), s(s(s(elem!1))))), introduced(assumption)).
% 3.53/3.72 tff(10874,plain,
% 3.53/3.72 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 3.53/3.72 inference(rewrite,[status(thm)],[])).
% 3.53/3.72 tff(10875,plain,
% 3.53/3.72 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 3.53/3.72 inference(quant_inst,[status(thm)],[])).
% 3.53/3.72 tff(10876,plain,
% 3.53/3.72 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), elem!1))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 3.53/3.72 tff(10877,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10876, 82, 1950, 1147, 10873])).
% 3.53/3.72 tff(10878,plain,((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10879,plain,
% 3.53/3.72 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10878, 10872, 10863])).
% 3.53/3.72 tff(10880,plain,
% 3.53/3.72 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3768, 10879, 10860])).
% 3.53/3.72 tff(10881,plain,
% 3.53/3.72 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[3622])).
% 3.53/3.72 tff(10882,plain,
% 3.53/3.72 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10881])).
% 3.53/3.72 tff(10883,plain,
% 3.53/3.72 (b(s(s(s(s(z)))), s(elem!1))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[3771, 10882])).
% 3.53/3.72 tff(10884,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[4909, 10883])).
% 3.53/3.72 tff(10885,plain,(b(s(s(s(s(z)))), s(elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10886,plain,
% 3.53/3.72 (b(s(s(s(s(z)))), s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10885, 10880, 10835])).
% 3.53/3.72 tff(10887,plain,
% 3.53/3.72 (b(elem!1, s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10834])).
% 3.53/3.72 tff(10888,plain,
% 3.53/3.72 (b(s(s(elem!1)), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10887])).
% 3.53/3.72 tff(10889,plain,
% 3.53/3.72 ((~b(s(s(elem!1)), s(elem!1))) <=> (~b(elem!1, s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10888])).
% 3.53/3.72 tff(10890,plain,
% 3.53/3.72 (~b(elem!1, s(elem!1))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[2605, 10889])).
% 3.53/3.72 tff(10891,plain,
% 3.53/3.72 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10834])).
% 3.53/3.72 tff(10892,plain,
% 3.53/3.72 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10891])).
% 3.53/3.72 tff(10893,plain,
% 3.53/3.72 (elem!1 = s(s(s(s(elem!1))))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[10848, 10892])).
% 3.53/3.72 tff(10894,assumption,(elem!1 = s(s(s(s(elem!1))))), introduced(assumption)).
% 3.53/3.72 tff(10895,plain,
% 3.53/3.72 (s(s(s(s(elem!1)))) = elem!1),
% 3.53/3.72 inference(symmetry,[status(thm)],[10894])).
% 3.53/3.72 tff(10896,plain,
% 3.53/3.72 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.53/3.72 inference(transitivity,[status(thm)],[10895, 226])).
% 3.53/3.72 tff(10897,plain,
% 3.53/3.72 (inj_0(s(s(s(s(elem!1))))) = inj_0(s(elem!1))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10896])).
% 3.53/3.72 tff(10898,plain,
% 3.53/3.72 (s(s(s(elem!1))) = elem!1),
% 3.53/3.72 inference(transitivity,[status(thm)],[1325, 10897, 199])).
% 3.53/3.72 tff(10899,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1271, 10898])).
% 3.53/3.72 tff(10900,plain,((~(elem!1 = s(elem!1))) | (s(s(s(elem!1))) = elem!1) | (~(elem!1 = s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10901,plain,
% 3.53/3.72 (~(elem!1 = s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10900, 10856, 10893])).
% 3.53/3.72 tff(10902,plain,
% 3.53/3.72 (r(elem!1, s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[252, 10901, 10890])).
% 3.53/3.72 tff(10903,plain,
% 3.53/3.72 (~r(z, s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[243, 10902, 234])).
% 3.53/3.72 tff(10904,plain,
% 3.53/3.72 (b(z, s(elem!1))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1615, 10903])).
% 3.53/3.72 tff(10905,plain,
% 3.53/3.72 (~r(z, s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10588, 10838, 165])).
% 3.53/3.72 tff(10906,plain,
% 3.53/3.72 (b(z, s(s(s(s(z)))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[391, 10905])).
% 3.53/3.72 tff(10907,plain,
% 3.53/3.72 (b(s(elem!1), s(s(elem!1)))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[6387, 10841])).
% 3.53/3.72 tff(10908,plain,
% 3.53/3.72 (s(s(elem!1)) = elem!1),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[2015, 1414])).
% 3.53/3.72 tff(10909,plain,
% 3.53/3.72 (b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10511, 10491, 234, 175, 10908])).
% 3.53/3.72 tff(10910,assumption,(s(s(elem!1)) = s(s(z))), introduced(assumption)).
% 3.53/3.72 tff(10911,plain,
% 3.53/3.72 (s(s(z)) = s(s(elem!1))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10910])).
% 3.53/3.72 tff(10912,plain,
% 3.53/3.72 (inj_0(s(s(z))) = inj_0(s(s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10911])).
% 3.53/3.72 tff(10913,plain,
% 3.53/3.72 (inj_0(s(s(elem!1))) = inj_0(s(s(z)))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10912])).
% 3.53/3.72 tff(10914,plain,
% 3.53/3.72 (s(elem!1) = s(z)),
% 3.53/3.72 inference(transitivity,[status(thm)],[182, 10913, 40])).
% 3.53/3.72 tff(10915,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1917, 10914])).
% 3.53/3.72 tff(10916,plain,((~(s(s(elem!1)) = s(s(z)))) | (s(elem!1) = s(z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10917,plain,
% 3.53/3.72 (~(s(s(elem!1)) = s(s(z)))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10916, 1917])).
% 3.53/3.72 tff(10918,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[1414])).
% 3.53/3.72 tff(10919,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), elem!1)),
% 3.53/3.72 inference(symmetry,[status(thm)],[10918])).
% 3.53/3.72 tff(10920,plain,
% 3.53/3.72 (r(s(s(s(s(z)))), elem!1)),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[10491, 10919])).
% 3.53/3.72 tff(10921,plain,
% 3.53/3.72 (r(elem!1, s(z)) <=> r(s(s(elem!1)), s(z))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[1414])).
% 3.53/3.72 tff(10922,plain,
% 3.53/3.72 (r(s(s(elem!1)), s(z)) <=> r(elem!1, s(z))),
% 3.53/3.72 inference(symmetry,[status(thm)],[10921])).
% 3.53/3.72 tff(10923,plain,
% 3.53/3.72 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[1419])).
% 3.53/3.72 tff(10924,plain,
% 3.53/3.72 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10923])).
% 3.53/3.72 tff(10925,plain,
% 3.53/3.72 (r(s(s(s(s(elem!1)))), s(z)) <=> r(elem!1, s(z))),
% 3.53/3.72 inference(transitivity,[status(thm)],[10924, 10922])).
% 3.53/3.72 tff(10926,plain,
% 3.53/3.72 (r(elem!1, s(z))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[1520, 10925])).
% 3.53/3.72 tff(10927,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[813, 10926])).
% 3.53/3.72 tff(10928,plain,((~r(s(s(s(s(elem!1)))), s(z))) | r(elem!1, s(z)) | (~(elem!1 = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10929,plain,
% 3.53/3.72 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10928, 9850, 1414])).
% 3.53/3.72 tff(10930,plain,
% 3.53/3.72 (b(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1585, 10929])).
% 3.53/3.72 tff(10931,plain,
% 3.53/3.72 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[3312])).
% 3.53/3.72 tff(10932,plain,
% 3.53/3.72 (b(s(s(elem!1)), s(z))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[1589, 10931])).
% 3.53/3.72 tff(10933,plain,
% 3.53/3.72 ($false),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[778, 10932])).
% 3.53/3.72 tff(10934,plain,((~b(s(s(s(s(elem!1)))), s(z))) | b(s(s(elem!1)), s(z)) | (~(s(s(elem!1)) = s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.72 tff(10935,plain,
% 3.53/3.72 (b(s(s(elem!1)), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[10934, 10930, 3226])).
% 3.53/3.72 tff(10936,assumption,(~(s(s(elem!1)) = s(s(z)))), introduced(assumption)).
% 3.53/3.72 tff(10937,plain,
% 3.53/3.72 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[1414])).
% 3.53/3.72 tff(10938,plain,
% 3.53/3.72 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = elem!1)),
% 3.53/3.72 inference(symmetry,[status(thm)],[10937])).
% 3.53/3.72 tff(10939,plain,
% 3.53/3.72 ((s(s(s(z))) = s(s(elem!1))) <=> (elem!1 = s(s(s(z))))),
% 3.53/3.72 inference(transitivity,[status(thm)],[10938, 1052])).
% 3.53/3.72 tff(10940,plain,
% 3.53/3.72 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.53/3.72 inference(monotonicity,[status(thm)],[10939])).
% 3.53/3.72 tff(10941,plain,
% 3.53/3.72 (~(elem!1 = s(s(s(z))))),
% 3.53/3.72 inference(modus_ponens,[status(thm)],[1429, 10940])).
% 3.53/3.72 tff(10942,plain,
% 3.53/3.72 (~r(s(s(s(z))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[2890, 164, 1731])).
% 3.53/3.72 tff(10943,plain,
% 3.53/3.72 (b(s(s(s(z))), s(z))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[437, 10942])).
% 3.53/3.72 tff(10944,plain,
% 3.53/3.72 (~r(elem!1, s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3328, 164, 234])).
% 3.53/3.72 tff(10945,plain,
% 3.53/3.72 (b(elem!1, s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[1160, 10944, 1050])).
% 3.53/3.72 tff(10946,plain,
% 3.53/3.72 (b(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.72 inference(unit_resolution,[status(thm)],[3458, 10945, 1414])).
% 3.53/3.72 tff(10947,plain,
% 3.53/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.72 inference(rewrite,[status(thm)],[])).
% 3.53/3.72 tff(10948,plain,
% 3.53/3.72 (((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.72 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(10949,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[10948])).
% 3.53/3.73 tff(10950,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.73 inference(transitivity,[status(thm)],[10949, 10947])).
% 3.53/3.73 tff(10951,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))),
% 3.53/3.73 inference(quant_inst,[status(thm)],[])).
% 3.53/3.73 tff(10952,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.53/3.73 inference(modus_ponens,[status(thm)],[10951, 10950])).
% 3.53/3.73 tff(10953,plain,
% 3.53/3.73 ($false),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10952, 338, 747, 458, 764, 3254, 3485])).
% 3.53/3.73 tff(10954,plain,((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.73 tff(10955,plain,
% 3.53/3.73 ($false),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10954, 10946, 10943, 3254, 747, 764])).
% 3.53/3.73 tff(10956,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~(elem!1 = s(s(elem!1)))) | (elem!1 = s(s(s(z)))) | (~r(z, s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.73 tff(10957,plain,
% 3.53/3.73 (~r(z, s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10956, 10935, 747, 1414, 3254, 1731, 10941, 234])).
% 3.53/3.73 tff(10958,plain,
% 3.53/3.73 (b(z, s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[149, 10957])).
% 3.53/3.73 tff(10959,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(10960,plain,
% 3.53/3.73 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(10961,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[10960])).
% 3.53/3.73 tff(10962,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.73 inference(transitivity,[status(thm)],[10961, 10959])).
% 3.53/3.73 tff(10963,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 3.53/3.73 inference(quant_inst,[status(thm)],[])).
% 3.53/3.73 tff(10964,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.53/3.73 inference(modus_ponens,[status(thm)],[10963, 10962])).
% 3.53/3.73 tff(10965,plain,
% 3.53/3.73 (~b(s(s(s(z))), s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10964, 338, 747, 3348, 987, 175, 3254])).
% 3.53/3.73 tff(10966,plain,
% 3.53/3.73 (r(s(s(s(z))), s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[437, 10965])).
% 3.53/3.73 tff(10967,plain,
% 3.53/3.73 (~r(s(s(s(z))), z)),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[432, 10966, 405])).
% 3.53/3.73 tff(10968,plain,
% 3.53/3.73 (b(s(s(s(z))), z)),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[135, 10967])).
% 3.53/3.73 tff(10969,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(10970,plain,
% 3.53/3.73 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(10971,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[10970])).
% 3.53/3.73 tff(10972,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.73 inference(transitivity,[status(thm)],[10971, 10969])).
% 3.53/3.73 tff(10973,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.73 inference(quant_inst,[status(thm)],[])).
% 3.53/3.73 tff(10974,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.53/3.73 inference(modus_ponens,[status(thm)],[10973, 10972])).
% 3.53/3.73 tff(10975,plain,
% 3.53/3.73 ($false),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10974, 338, 10968, 3348, 987, 175, 555])).
% 3.53/3.73 tff(10976,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.73 tff(10977,plain,
% 3.53/3.73 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10976, 405, 175, 555, 10958, 747, 3254])).
% 3.53/3.73 tff(10978,plain,
% 3.53/3.73 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[1011, 10977])).
% 3.53/3.73 tff(10979,plain,
% 3.53/3.73 (~r(elem!1, s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[1152, 10978, 1147])).
% 3.53/3.73 tff(10980,plain,
% 3.53/3.73 (b(elem!1, s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[1160, 10979, 10941])).
% 3.53/3.73 tff(10981,plain,
% 3.53/3.73 (b(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[3458, 10980, 1414])).
% 3.53/3.73 tff(10982,plain,
% 3.53/3.73 (~b(s(z), s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[7851, 10981, 747, 10935, 3254])).
% 3.53/3.73 tff(10983,plain,
% 3.53/3.73 (r(s(z), s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[424, 10982])).
% 3.53/3.73 tff(10984,plain,
% 3.53/3.73 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[4106, 10983, 10978])).
% 3.53/3.73 tff(10985,plain,
% 3.53/3.73 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[106, 10984])).
% 3.53/3.73 tff(10986,plain,
% 3.53/3.73 (~r(s(s(s(s(z)))), s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[3437, 10983, 10978])).
% 3.53/3.73 tff(10987,plain,
% 3.53/3.73 (b(s(s(s(s(z)))), s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[119, 10986])).
% 3.53/3.73 tff(10988,plain,
% 3.53/3.73 (b(s(s(s(elem!1))), z) <=> b(s(elem!1), z)),
% 3.53/3.73 inference(monotonicity,[status(thm)],[1419])).
% 3.53/3.73 tff(10989,plain,
% 3.53/3.73 (b(s(elem!1), z) <=> b(s(s(s(elem!1))), z)),
% 3.53/3.73 inference(symmetry,[status(thm)],[10988])).
% 3.53/3.73 tff(10990,plain,
% 3.53/3.73 ((~b(s(elem!1), z)) <=> (~b(s(s(s(elem!1))), z))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[10989])).
% 3.53/3.73 tff(10991,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(10992,plain,
% 3.53/3.73 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(10993,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[10992])).
% 3.53/3.73 tff(10994,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.73 inference(transitivity,[status(thm)],[10993, 10991])).
% 3.53/3.73 tff(10995,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.73 inference(quant_inst,[status(thm)],[])).
% 3.53/3.73 tff(10996,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.53/3.73 inference(modus_ponens,[status(thm)],[10995, 10994])).
% 3.53/3.73 tff(10997,plain,
% 3.53/3.73 ($false),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10996, 338, 747, 764, 651, 2911, 3253])).
% 3.53/3.73 tff(10998,plain,((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.73 tff(10999,plain,
% 3.53/3.73 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10998, 651, 747, 10935, 2911])).
% 3.53/3.73 tff(11000,plain,
% 3.53/3.73 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[368, 10999, 3237])).
% 3.53/3.73 tff(11001,plain,
% 3.53/3.73 ((elem!1 = s(s(s(s(z))))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[1414])).
% 3.53/3.73 tff(11002,plain,
% 3.53/3.73 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.53/3.73 inference(symmetry,[status(thm)],[11001])).
% 3.53/3.73 tff(11003,plain,
% 3.53/3.73 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.53/3.73 inference(transitivity,[status(thm)],[11002, 1058])).
% 3.53/3.73 tff(11004,plain,
% 3.53/3.73 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[11003])).
% 3.53/3.73 tff(11005,plain,
% 3.53/3.73 (~(s(s(s(s(z)))) = elem!1)),
% 3.53/3.73 inference(modus_ponens,[status(thm)],[3237, 11004])).
% 3.53/3.73 tff(11006,plain,
% 3.53/3.73 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[1207, 1429])).
% 3.53/3.73 tff(11007,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(11008,plain,
% 3.53/3.73 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(11009,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[11008])).
% 3.53/3.73 tff(11010,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.73 inference(transitivity,[status(thm)],[11009, 11007])).
% 3.53/3.73 tff(11011,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))),
% 3.53/3.73 inference(quant_inst,[status(thm)],[])).
% 3.53/3.73 tff(11012,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.53/3.73 inference(modus_ponens,[status(thm)],[11011, 11010])).
% 3.53/3.73 tff(11013,plain,
% 3.53/3.73 ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[11012, 338, 747, 764, 2911, 3254])).
% 3.53/3.73 tff(11014,plain,
% 3.53/3.73 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[11013, 458])).
% 3.53/3.73 tff(11015,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(11016,plain,
% 3.53/3.73 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(11017,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.53/3.73 inference(monotonicity,[status(thm)],[11016])).
% 3.53/3.73 tff(11018,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.73 inference(transitivity,[status(thm)],[11017, 11015])).
% 3.53/3.73 tff(11019,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 3.53/3.73 inference(quant_inst,[status(thm)],[])).
% 3.53/3.73 tff(11020,plain,
% 3.53/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.53/3.73 inference(modus_ponens,[status(thm)],[11019, 11018])).
% 3.53/3.73 tff(11021,plain,
% 3.53/3.73 ((~b(z, s(z))) | (~b(s(s(s(z))), s(z)))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[11020, 338, 747, 457, 3348, 3254])).
% 3.53/3.73 tff(11022,plain,
% 3.53/3.73 (~b(z, s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[11021, 458])).
% 3.53/3.73 tff(11023,plain,
% 3.53/3.73 (r(z, s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[403, 11022])).
% 3.53/3.73 tff(11024,plain,
% 3.53/3.73 (~r(elem!1, s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[8266, 11023, 234])).
% 3.53/3.73 tff(11025,plain,
% 3.53/3.73 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10928, 11024, 1414])).
% 3.53/3.73 tff(11026,plain,
% 3.53/3.73 (b(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[1585, 11025])).
% 3.53/3.73 tff(11027,plain,
% 3.53/3.73 (b(s(s(elem!1)), s(z))),
% 3.53/3.73 inference(unit_resolution,[status(thm)],[10934, 11026, 1494])).
% 3.53/3.73 tff(11028,plain,
% 3.53/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.73 inference(rewrite,[status(thm)],[])).
% 3.53/3.73 tff(11029,plain,
% 3.53/3.73 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11030,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.53/3.74 inference(monotonicity,[status(thm)],[11029])).
% 3.53/3.74 tff(11031,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.74 inference(transitivity,[status(thm)],[11030, 11028])).
% 3.53/3.74 tff(11032,plain,
% 3.53/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.74 inference(quant_inst,[status(thm)],[])).
% 3.53/3.74 tff(11033,plain,
% 3.53/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.53/3.74 inference(modus_ponens,[status(thm)],[11032, 11031])).
% 3.53/3.74 tff(11034,plain,
% 3.53/3.74 ($false),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11033, 338, 747, 457, 458, 11027, 3254])).
% 3.53/3.74 tff(11035,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(s(s(elem!1)) = s(s(s(s(elem!1)))))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, elem!1)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.74 tff(11036,plain,
% 3.53/3.74 (~b(s(z), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11035, 458, 747, 3254, 1494, 1414, 234, 3348])).
% 3.53/3.74 tff(11037,plain,
% 3.53/3.74 (r(s(z), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[424, 11036])).
% 3.53/3.74 tff(11038,plain,
% 3.53/3.74 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[4106, 11037, 1038])).
% 3.53/3.74 tff(11039,plain,
% 3.53/3.74 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[106, 11038])).
% 3.53/3.74 tff(11040,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11041,plain,
% 3.53/3.74 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z)))))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11042,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.53/3.74 inference(monotonicity,[status(thm)],[11041])).
% 3.53/3.74 tff(11043,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.74 inference(transitivity,[status(thm)],[11042, 11040])).
% 3.53/3.74 tff(11044,plain,
% 3.53/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 3.53/3.74 inference(quant_inst,[status(thm)],[])).
% 3.53/3.74 tff(11045,plain,
% 3.53/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.53/3.74 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 3.53/3.74 tff(11046,plain,
% 3.53/3.74 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11045, 338, 747, 458, 764, 651, 3484])).
% 3.53/3.74 tff(11047,plain,
% 3.53/3.74 (r(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[1211, 21, 11046, 6879])).
% 3.53/3.74 tff(11048,plain,
% 3.53/3.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11049,plain,
% 3.53/3.74 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11050,plain,
% 3.53/3.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.53/3.74 inference(monotonicity,[status(thm)],[11049])).
% 3.53/3.74 tff(11051,plain,
% 3.53/3.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.74 inference(transitivity,[status(thm)],[11050, 11048])).
% 3.53/3.74 tff(11052,plain,
% 3.53/3.74 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.74 inference(quant_inst,[status(thm)],[])).
% 3.53/3.74 tff(11053,plain,
% 3.53/3.74 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 3.53/3.74 inference(modus_ponens,[status(thm)],[11052, 11051])).
% 3.53/3.74 tff(11054,plain,
% 3.53/3.74 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11053, 82, 1038, 11047])).
% 3.53/3.74 tff(11055,plain,
% 3.53/3.74 ($false),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[366, 21, 62, 363, 11054])).
% 3.53/3.74 tff(11056,plain,(b(s(s(elem!1)), s(s(s(s(z))))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.74 tff(11057,plain,
% 3.53/3.74 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11056, 11039, 3237, 6879, 747, 458, 764, 1038, 11014])).
% 3.53/3.74 tff(11058,plain,
% 3.53/3.74 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[10954, 458, 3254, 747, 764])).
% 3.53/3.74 tff(11059,plain,
% 3.53/3.74 (~b(elem!1, s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[3458, 11058, 1414])).
% 3.53/3.74 tff(11060,plain,
% 3.53/3.74 (r(elem!1, s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[1160, 11059, 1050])).
% 3.53/3.74 tff(11061,plain,
% 3.53/3.74 (~r(s(s(s(s(z)))), elem!1)),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[1152, 11060, 1038])).
% 3.53/3.74 tff(11062,plain,
% 3.53/3.74 (b(s(s(s(s(z)))), elem!1)),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[1144, 11061, 1039])).
% 3.53/3.74 tff(11063,plain,
% 3.53/3.74 ($false),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[3464, 11062, 11057, 1414])).
% 3.53/3.74 tff(11064,plain,((~b(s(s(s(z))), s(z))) | (~(elem!1 = s(s(elem!1)))) | (s(s(s(s(z)))) = elem!1) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (elem!1 = s(s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(s(s(elem!1)) = s(s(s(s(elem!1)))))) | (~r(z, elem!1)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.74 tff(11065,plain,
% 3.53/3.74 (~b(s(s(s(z))), s(z))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11064, 1038, 747, 3254, 11006, 1414, 11005, 10935, 10941, 2911, 3226, 234, 10958])).
% 3.53/3.74 tff(11066,plain,
% 3.53/3.74 (r(s(s(s(z))), s(z))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[437, 11065])).
% 3.53/3.74 tff(11067,plain,
% 3.53/3.74 (~r(s(s(z)), s(z))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[2514, 556, 1731])).
% 3.53/3.74 tff(11068,plain,
% 3.53/3.74 (b(s(s(z)), s(z))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[472, 11067])).
% 3.53/3.74 tff(11069,plain,
% 3.53/3.74 (~r(s(z), s(s(z)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[2492, 556, 1731])).
% 3.53/3.74 tff(11070,plain,
% 3.53/3.74 (b(s(z), s(s(z)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[455, 11069])).
% 3.53/3.74 tff(11071,assumption,(b(s(s(elem!1)), s(s(z)))), introduced(assumption)).
% 3.53/3.74 tff(11072,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11073,plain,
% 3.53/3.74 (((~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(z))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11074,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z))))))),
% 3.53/3.74 inference(monotonicity,[status(thm)],[11073])).
% 3.53/3.74 tff(11075,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.53/3.74 inference(transitivity,[status(thm)],[11074, 11072])).
% 3.53/3.74 tff(11076,plain,
% 3.53/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.53/3.74 inference(quant_inst,[status(thm)],[])).
% 3.53/3.74 tff(11077,plain,
% 3.53/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z))))),
% 3.53/3.74 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 3.53/3.74 tff(11078,plain,
% 3.53/3.74 ($false),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11077, 338, 747, 475, 764, 474, 11071])).
% 3.53/3.74 tff(11079,plain,((~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.74 tff(11080,plain,
% 3.53/3.74 (~b(s(s(elem!1)), s(s(z)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11079, 11070, 11068, 764, 747])).
% 3.53/3.74 tff(11081,plain,
% 3.53/3.74 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(z))) | b(s(s(elem!1)), s(s(z))) | r(s(s(elem!1)), s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(z))) | b(s(s(elem!1)), s(s(z))) | r(s(s(elem!1)), s(s(z))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11082,plain,
% 3.53/3.74 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(z))) | b(s(s(elem!1)), s(s(z))) | r(s(s(elem!1)), s(s(z))))),
% 3.53/3.74 inference(quant_inst,[status(thm)],[])).
% 3.53/3.74 tff(11083,plain,
% 3.53/3.74 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(z))) | b(s(s(elem!1)), s(s(z))) | r(s(s(elem!1)), s(s(z)))),
% 3.53/3.74 inference(modus_ponens,[status(thm)],[11082, 11081])).
% 3.53/3.74 tff(11084,plain,
% 3.53/3.74 (r(s(s(elem!1)), s(s(z)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11083, 21, 11080, 10936])).
% 3.53/3.74 tff(11085,plain,
% 3.53/3.74 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[2939, 11070, 1731, 427, 651])).
% 3.53/3.74 tff(11086,plain,
% 3.53/3.74 (r(s(s(s(s(z)))), s(s(z)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[68, 11085])).
% 3.53/3.74 tff(11087,plain,
% 3.53/3.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11088,plain,
% 3.53/3.74 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11089,plain,
% 3.53/3.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z))))))),
% 3.53/3.74 inference(monotonicity,[status(thm)],[11088])).
% 3.53/3.74 tff(11090,plain,
% 3.53/3.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 3.53/3.74 inference(transitivity,[status(thm)],[11089, 11087])).
% 3.53/3.74 tff(11091,plain,
% 3.53/3.74 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.74 inference(quant_inst,[status(thm)],[])).
% 3.53/3.74 tff(11092,plain,
% 3.53/3.74 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z))))),
% 3.53/3.74 inference(modus_ponens,[status(thm)],[11091, 11090])).
% 3.53/3.74 tff(11093,plain,
% 3.53/3.74 ($false),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11092, 82, 11086, 370, 11084])).
% 3.53/3.74 tff(11094,plain,((~r(z, s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.74 tff(11095,plain,
% 3.53/3.74 (~r(z, s(s(z)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11094, 11066, 10936, 10935, 747, 1731, 11000, 651])).
% 3.53/3.74 tff(11096,plain,
% 3.53/3.74 (b(z, s(s(z)))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[563, 11095])).
% 3.53/3.74 tff(11097,plain,
% 3.53/3.74 (~r(elem!1, s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[1152, 1038, 1147])).
% 3.53/3.74 tff(11098,plain,
% 3.53/3.74 (b(elem!1, s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[1160, 11097, 10941])).
% 3.53/3.74 tff(11099,plain,
% 3.53/3.74 (b(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[3458, 11098, 1414])).
% 3.53/3.74 tff(11100,plain,
% 3.53/3.74 (~b(s(z), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[7851, 11099, 747, 10935, 3254])).
% 3.53/3.74 tff(11101,plain,
% 3.53/3.74 (r(s(z), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[424, 11100])).
% 3.53/3.74 tff(11102,plain,
% 3.53/3.74 (~r(s(s(z)), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[5882, 11101, 1038])).
% 3.53/3.74 tff(11103,plain,
% 3.53/3.74 (b(s(s(z)), s(s(s(z))))),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[534, 11102])).
% 3.53/3.74 tff(11104,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11105,plain,
% 3.53/3.74 (((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(elem!1), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11106,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z))))),
% 3.53/3.74 inference(monotonicity,[status(thm)],[11105])).
% 3.53/3.74 tff(11107,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 3.53/3.74 inference(transitivity,[status(thm)],[11106, 11104])).
% 3.53/3.74 tff(11108,plain,
% 3.53/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 3.53/3.74 inference(quant_inst,[status(thm)],[])).
% 3.53/3.74 tff(11109,plain,
% 3.53/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z))),
% 3.53/3.74 inference(modus_ponens,[status(thm)],[11108, 11107])).
% 3.53/3.74 tff(11110,plain,
% 3.53/3.74 ($false),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11109, 338, 476, 1796, 601, 3348, 175, 3663])).
% 3.53/3.74 tff(11111,plain,((~b(s(elem!1), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.74 tff(11112,plain,
% 3.53/3.74 (~b(s(elem!1), z)),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[11111, 11103, 11096, 10958, 175, 3663])).
% 3.53/3.74 tff(11113,plain,
% 3.53/3.74 (~b(s(s(s(elem!1))), z)),
% 3.53/3.74 inference(modus_ponens,[status(thm)],[11112, 10990])).
% 3.53/3.74 tff(11114,plain,
% 3.53/3.74 (r(s(elem!1), z)),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[1812, 11112])).
% 3.53/3.74 tff(11115,plain,
% 3.53/3.74 (~r(s(s(elem!1)), z)),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[5958, 11114, 264])).
% 3.53/3.74 tff(11116,plain,
% 3.53/3.74 (b(s(s(elem!1)), z)),
% 3.53/3.74 inference(unit_resolution,[status(thm)],[800, 11115])).
% 3.53/3.74 tff(11117,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11118,plain,
% 3.53/3.74 (((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1)))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 3.53/3.74 inference(rewrite,[status(thm)],[])).
% 3.53/3.74 tff(11119,plain,
% 3.53/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))))),
% 3.53/3.75 inference(monotonicity,[status(thm)],[11118])).
% 3.53/3.75 tff(11120,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 3.53/3.75 inference(transitivity,[status(thm)],[11119, 11117])).
% 3.53/3.75 tff(11121,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.53/3.75 inference(quant_inst,[status(thm)],[])).
% 3.53/3.75 tff(11122,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 3.53/3.75 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 3.53/3.75 tff(11123,plain,
% 3.53/3.75 ((~b(s(s(elem!1)), z)) | (~b(s(z), s(elem!1)))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11122, 338, 747, 10958, 1620, 11099])).
% 3.53/3.75 tff(11124,plain,
% 3.53/3.75 (~b(s(z), s(elem!1))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11123, 11116])).
% 3.53/3.75 tff(11125,plain,
% 3.53/3.75 (b(s(z), s(s(s(elem!1)))) <=> b(s(z), s(elem!1))),
% 3.53/3.75 inference(monotonicity,[status(thm)],[213])).
% 3.53/3.75 tff(11126,plain,
% 3.53/3.75 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(elem!1))))),
% 3.53/3.75 inference(symmetry,[status(thm)],[11125])).
% 3.53/3.75 tff(11127,plain,
% 3.53/3.75 ((~b(s(z), s(elem!1))) <=> (~b(s(z), s(s(s(elem!1)))))),
% 3.53/3.75 inference(monotonicity,[status(thm)],[11126])).
% 3.53/3.75 tff(11128,plain,
% 3.53/3.75 (~b(s(z), s(s(s(elem!1))))),
% 3.53/3.75 inference(modus_ponens,[status(thm)],[3064, 11127])).
% 3.53/3.75 tff(11129,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[1880, 11128])).
% 3.53/3.75 tff(11130,plain,(b(s(z), s(elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11131,plain,
% 3.53/3.75 (~b(s(z), s(s(s(elem!1))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11130, 11124, 1419])).
% 3.53/3.75 tff(11132,plain,
% 3.53/3.75 (r(s(z), s(s(s(elem!1))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[1870, 11131])).
% 3.53/3.75 tff(11133,plain,
% 3.53/3.75 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1))))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11134,plain,
% 3.53/3.75 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1))))))),
% 3.53/3.75 inference(quant_inst,[status(thm)],[])).
% 3.53/3.75 tff(11135,plain,
% 3.53/3.75 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(elem!1)))))),
% 3.53/3.75 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 3.53/3.75 tff(11136,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11135, 82, 1301, 1854, 405])).
% 3.53/3.75 tff(11137,plain,((~r(s(s(s(elem!1))), z)) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11138,plain,
% 3.53/3.75 (~r(s(s(s(elem!1))), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11137, 11132, 405])).
% 3.53/3.75 tff(11139,plain,
% 3.53/3.75 (b(s(s(s(elem!1))), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[1387, 11138])).
% 3.53/3.75 tff(11140,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11139, 11113])).
% 3.53/3.75 tff(11141,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (s(s(elem!1)) = s(s(z))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11142,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11141, 10987, 10985, 747, 1620, 264, 175, 3663, 10936, 1731, 405, 3254, 1414, 1147, 10978, 234])).
% 3.53/3.75 tff(11143,plain,((~r(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (s(s(elem!1)) = s(s(z))) | (~r(z, s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(z, elem!1)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11144,plain,
% 3.53/3.75 (~r(s(z), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11143, 1731, 1620, 264, 175, 3663, 10936, 747, 3254, 1414, 1147, 234, 555])).
% 3.53/3.75 tff(11145,plain,
% 3.53/3.75 (b(s(z), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[26, 11144])).
% 3.53/3.75 tff(11146,plain,
% 3.53/3.75 (~b(s(z), s(s(s(z))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[7851, 11099, 747, 764, 3254])).
% 3.53/3.75 tff(11147,plain,
% 3.53/3.75 (r(s(z), s(s(s(z))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[424, 11146])).
% 3.53/3.75 tff(11148,plain,
% 3.53/3.75 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[4106, 11147, 1038])).
% 3.53/3.75 tff(11149,plain,
% 3.53/3.75 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[106, 11148])).
% 3.53/3.75 tff(11150,plain,
% 3.53/3.75 (~r(s(s(s(s(z)))), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[3437, 11147, 1038])).
% 3.53/3.75 tff(11151,plain,
% 3.53/3.75 (b(s(s(s(s(z)))), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[119, 11150])).
% 3.53/3.75 tff(11152,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[8875, 338, 1740, 651, 2911, 175, 555])).
% 3.53/3.75 tff(11153,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11154,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11153, 11151, 11149, 175, 1740, 555])).
% 3.53/3.75 tff(11155,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11156,plain,
% 3.53/3.75 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11155, 11145, 175, 555, 747, 10935, 3254, 1414, 1147])).
% 3.53/3.75 tff(11157,plain,
% 3.53/3.75 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[1011, 11156])).
% 3.53/3.75 tff(11158,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11159,plain,
% 3.53/3.75 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11160,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.53/3.75 inference(monotonicity,[status(thm)],[11159])).
% 3.53/3.75 tff(11161,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.75 inference(transitivity,[status(thm)],[11160, 11158])).
% 3.53/3.75 tff(11162,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 3.53/3.75 inference(quant_inst,[status(thm)],[])).
% 3.53/3.75 tff(11163,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.53/3.75 inference(modus_ponens,[status(thm)],[11162, 11161])).
% 3.53/3.75 tff(11164,plain,
% 3.53/3.75 (~b(s(s(s(z))), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11163, 338, 747, 3348, 987, 3254, 555])).
% 3.53/3.75 tff(11165,plain,
% 3.53/3.75 (r(s(s(s(z))), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[437, 11164])).
% 3.53/3.75 tff(11166,plain,
% 3.53/3.75 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[2959, 11165, 72])).
% 3.53/3.75 tff(11167,plain,
% 3.53/3.75 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[689, 11166])).
% 3.53/3.75 tff(11168,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11169,plain,
% 3.53/3.75 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11170,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.53/3.75 inference(monotonicity,[status(thm)],[11169])).
% 3.53/3.75 tff(11171,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.53/3.75 inference(transitivity,[status(thm)],[11170, 11168])).
% 3.53/3.75 tff(11172,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.53/3.75 inference(quant_inst,[status(thm)],[])).
% 3.53/3.75 tff(11173,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.53/3.75 inference(modus_ponens,[status(thm)],[11172, 11171])).
% 3.53/3.75 tff(11174,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11173, 338, 3348, 987, 11167, 175, 555])).
% 3.53/3.75 tff(11175,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11176,plain,
% 3.53/3.75 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11175, 11157, 175, 747, 3254, 10958, 555])).
% 3.53/3.75 tff(11177,plain,
% 3.53/3.75 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[106, 11176])).
% 3.53/3.75 tff(11178,plain,
% 3.53/3.75 (~b(s(s(s(s(z)))), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11153, 11177, 175, 11145, 555])).
% 3.53/3.75 tff(11179,plain,
% 3.53/3.75 (r(s(s(s(s(z)))), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[119, 11178])).
% 3.53/3.75 tff(11180,plain,
% 3.53/3.75 (~r(s(s(s(z))), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[2908, 11179, 1731])).
% 3.53/3.75 tff(11181,plain,
% 3.53/3.75 (b(s(s(s(z))), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[437, 11180])).
% 3.53/3.75 tff(11182,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11183,plain,
% 3.53/3.75 (((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11184,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.53/3.75 inference(monotonicity,[status(thm)],[11183])).
% 3.53/3.75 tff(11185,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.75 inference(transitivity,[status(thm)],[11184, 11182])).
% 3.53/3.75 tff(11186,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 3.53/3.75 inference(quant_inst,[status(thm)],[])).
% 3.53/3.75 tff(11187,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.53/3.75 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 3.53/3.75 tff(11188,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11187, 338, 10958, 11181, 10935, 11157, 175, 3254])).
% 3.53/3.75 tff(11189,plain,((~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (s(s(elem!1)) = s(s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11190,plain,
% 3.53/3.75 (~r(z, s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11189, 10909, 175, 555, 747, 1414, 10920, 1620, 264, 3663, 10917, 234])).
% 3.53/3.75 tff(11191,plain,
% 3.53/3.75 (b(z, s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[403, 11190])).
% 3.53/3.75 tff(11192,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11193,plain,
% 3.53/3.75 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.75 inference(rewrite,[status(thm)],[])).
% 3.53/3.75 tff(11194,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.53/3.75 inference(monotonicity,[status(thm)],[11193])).
% 3.53/3.75 tff(11195,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.53/3.75 inference(transitivity,[status(thm)],[11194, 11192])).
% 3.53/3.75 tff(11196,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.53/3.75 inference(quant_inst,[status(thm)],[])).
% 3.53/3.75 tff(11197,plain,
% 3.53/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.53/3.75 inference(modus_ponens,[status(thm)],[11196, 11195])).
% 3.53/3.75 tff(11198,plain,
% 3.53/3.75 (~b(s(z), s(s(s(z))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11197, 338, 747, 486, 2911, 175, 3254])).
% 3.53/3.75 tff(11199,plain,
% 3.53/3.75 (r(s(z), s(s(s(z))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[424, 11198])).
% 3.53/3.75 tff(11200,plain,
% 3.53/3.75 (~r(s(z), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[414, 11199, 164])).
% 3.53/3.75 tff(11201,plain,
% 3.53/3.75 (b(s(z), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[26, 11200])).
% 3.53/3.75 tff(11202,plain,
% 3.53/3.75 (~b(s(z), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[6869, 2911, 175, 555, 486])).
% 3.53/3.75 tff(11203,plain,
% 3.53/3.75 (r(s(z), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[106, 11202])).
% 3.53/3.75 tff(11204,plain,
% 3.53/3.75 ($false),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[3447, 82, 406, 72, 911])).
% 3.53/3.75 tff(11205,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.75 tff(11206,plain,
% 3.53/3.75 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[11205, 11199, 11203])).
% 3.53/3.75 tff(11207,plain,
% 3.53/3.75 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[689, 11206])).
% 3.53/3.75 tff(11208,plain,
% 3.53/3.75 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[3262, 11207, 175, 3254, 2911, 486])).
% 3.53/3.75 tff(11209,plain,
% 3.53/3.75 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[368, 11208, 363])).
% 3.53/3.75 tff(11210,plain,
% 3.53/3.75 (~r(s(s(elem!1)), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[6732, 11209, 11203])).
% 3.53/3.75 tff(11211,plain,
% 3.53/3.75 (b(s(s(elem!1)), s(z))),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[784, 11210])).
% 3.53/3.75 tff(11212,plain,
% 3.53/3.75 (~b(s(s(elem!1)), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[6963, 11211, 747, 486, 11201])).
% 3.53/3.75 tff(11213,plain,
% 3.53/3.75 (r(s(s(elem!1)), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[800, 11212])).
% 3.53/3.75 tff(11214,plain,
% 3.53/3.75 (~r(s(elem!1), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[5958, 11213, 264])).
% 3.53/3.75 tff(11215,plain,
% 3.53/3.75 (b(s(elem!1), z)),
% 3.53/3.75 inference(unit_resolution,[status(thm)],[1812, 11214])).
% 3.53/3.75 tff(11216,plain,
% 3.53/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11217,plain,
% 3.53/3.76 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11218,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))))),
% 3.53/3.76 inference(monotonicity,[status(thm)],[11217])).
% 3.53/3.76 tff(11219,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.53/3.76 inference(transitivity,[status(thm)],[11218, 11216])).
% 3.53/3.76 tff(11220,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 3.53/3.76 inference(quant_inst,[status(thm)],[])).
% 3.53/3.76 tff(11221,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 3.53/3.76 inference(modus_ponens,[status(thm)],[11220, 11219])).
% 3.53/3.76 tff(11222,plain,
% 3.53/3.76 ($false),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11221, 338, 11215, 486, 2911, 175, 555, 3663])).
% 3.53/3.76 tff(11223,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.76 tff(11224,plain,
% 3.53/3.76 (~b(s(s(s(s(z)))), s(z))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11223, 164, 175, 555, 3663, 264, 747, 3237, 10909, 11191])).
% 3.53/3.76 tff(11225,plain,
% 3.53/3.76 (r(s(s(s(s(z)))), s(z))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[119, 11224])).
% 3.53/3.76 tff(11226,plain,
% 3.53/3.76 (b(elem!1, s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[1160, 10944, 10941])).
% 3.53/3.76 tff(11227,plain,
% 3.53/3.76 (b(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[3458, 11226, 1414])).
% 3.53/3.76 tff(11228,plain,
% 3.53/3.76 (~r(s(s(elem!1)), s(z))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[10675, 11225, 10491])).
% 3.53/3.76 tff(11229,plain,
% 3.53/3.76 (b(s(s(elem!1)), s(z))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[784, 11228])).
% 3.53/3.76 tff(11230,plain,
% 3.53/3.76 (~b(s(z), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[7851, 11229, 747, 11227, 10909])).
% 3.53/3.76 tff(11231,plain,
% 3.53/3.76 (r(s(z), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[424, 11230])).
% 3.53/3.76 tff(11232,plain,
% 3.53/3.76 (~r(s(z), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[414, 11231, 164])).
% 3.53/3.76 tff(11233,plain,
% 3.53/3.76 (b(s(z), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[26, 11232])).
% 3.53/3.76 tff(11234,plain,
% 3.53/3.76 (~b(s(s(s(z))), s(z))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[10954, 11229, 747, 10909, 11227])).
% 3.53/3.76 tff(11235,plain,
% 3.53/3.76 (r(s(s(s(z))), s(z))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[437, 11234])).
% 3.53/3.76 tff(11236,plain,
% 3.53/3.76 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[3708, 11235, 11225])).
% 3.53/3.76 tff(11237,plain,
% 3.53/3.76 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[689, 11236])).
% 3.53/3.76 tff(11238,plain,
% 3.53/3.76 (~b(s(s(elem!1)), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[6963, 11233, 747, 11191, 11229])).
% 3.53/3.76 tff(11239,plain,
% 3.53/3.76 (r(s(s(elem!1)), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[800, 11238])).
% 3.53/3.76 tff(11240,plain,
% 3.53/3.76 ((s(s(elem!1)) = s(s(z))) <=> (s(s(z)) = s(s(elem!1)))),
% 3.53/3.76 inference(commutativity,[status(thm)],[])).
% 3.53/3.76 tff(11241,plain,
% 3.53/3.76 ((~(s(s(elem!1)) = s(s(z)))) <=> (~(s(s(z)) = s(s(elem!1))))),
% 3.53/3.76 inference(monotonicity,[status(thm)],[11240])).
% 3.53/3.76 tff(11242,plain,
% 3.53/3.76 (~(s(s(z)) = s(s(elem!1)))),
% 3.53/3.76 inference(modus_ponens,[status(thm)],[10917, 11241])).
% 3.53/3.76 tff(11243,plain,
% 3.53/3.76 (~r(s(elem!1), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[5958, 11239, 264])).
% 3.53/3.76 tff(11244,plain,
% 3.53/3.76 (b(s(elem!1), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[1812, 11243])).
% 3.53/3.76 tff(11245,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11246,plain,
% 3.53/3.76 (((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))) <=> ((~b(s(elem!1), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11247,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.53/3.76 inference(monotonicity,[status(thm)],[11246])).
% 3.53/3.76 tff(11248,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.53/3.76 inference(transitivity,[status(thm)],[11247, 11245])).
% 3.53/3.76 tff(11249,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.53/3.76 inference(quant_inst,[status(thm)],[])).
% 3.53/3.76 tff(11250,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.53/3.76 inference(modus_ponens,[status(thm)],[11249, 11248])).
% 3.53/3.76 tff(11251,plain,
% 3.53/3.76 ($false),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11250, 338, 1796, 1741, 539, 175, 555, 3663])).
% 3.53/3.76 tff(11252,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.76 tff(11253,plain,
% 3.53/3.76 (~b(s(s(s(z))), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11252, 11244, 11237, 175, 555, 3663])).
% 3.53/3.76 tff(11254,plain,
% 3.53/3.76 (r(s(s(s(z))), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[135, 11253])).
% 3.53/3.76 tff(11255,plain,
% 3.53/3.76 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11256,plain,
% 3.53/3.76 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(quant_inst,[status(thm)],[])).
% 3.53/3.76 tff(11257,plain,
% 3.53/3.76 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(elem!1))))),
% 3.53/3.76 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 3.53/3.76 tff(11258,plain,
% 3.53/3.76 (~r(s(s(z)), s(s(elem!1)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11257, 82, 787, 3893])).
% 3.53/3.76 tff(11259,assumption,(~(s(s(z)) = s(s(elem!1)))), introduced(assumption)).
% 3.53/3.76 tff(11260,plain,
% 3.53/3.76 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(elem!1))) | b(s(s(z)), s(s(elem!1))) | r(s(s(z)), s(s(elem!1))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(elem!1))) | b(s(s(z)), s(s(elem!1))) | r(s(s(z)), s(s(elem!1))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11261,plain,
% 3.53/3.76 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(elem!1))) | b(s(s(z)), s(s(elem!1))) | r(s(s(z)), s(s(elem!1))))),
% 3.53/3.76 inference(quant_inst,[status(thm)],[])).
% 3.53/3.76 tff(11262,plain,
% 3.53/3.76 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(elem!1))) | b(s(s(z)), s(s(elem!1))) | r(s(s(z)), s(s(elem!1)))),
% 3.53/3.76 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 3.53/3.76 tff(11263,plain,
% 3.53/3.76 (b(s(s(z)), s(s(elem!1)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11262, 21, 11259, 11258])).
% 3.53/3.76 tff(11264,plain,
% 3.53/3.76 (~r(s(s(s(z))), s(s(z)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[960, 82, 426, 3893])).
% 3.53/3.76 tff(11265,plain,
% 3.53/3.76 (b(s(s(s(z))), s(s(z)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[637, 21, 633, 11264])).
% 3.53/3.76 tff(11266,plain,
% 3.53/3.76 (~r(s(s(z)), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[572, 540, 175, 164, 555])).
% 3.53/3.76 tff(11267,plain,
% 3.53/3.76 (b(s(s(z)), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[534, 11266])).
% 3.53/3.76 tff(11268,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11269,plain,
% 3.53/3.76 (((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11270,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1))))))),
% 3.53/3.76 inference(monotonicity,[status(thm)],[11269])).
% 3.53/3.76 tff(11271,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(transitivity,[status(thm)],[11270, 11268])).
% 3.53/3.76 tff(11272,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.53/3.76 inference(quant_inst,[status(thm)],[])).
% 3.53/3.76 tff(11273,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1))))),
% 3.53/3.76 inference(modus_ponens,[status(thm)],[11272, 11271])).
% 3.53/3.76 tff(11274,plain,
% 3.53/3.76 ($false),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11273, 338, 11267, 11265, 539, 540, 3485, 11263])).
% 3.53/3.76 tff(11275,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (s(s(z)) = s(s(elem!1))) | (~r(s(s(s(z))), z)) | (~r(s(s(z)), z)) | (~r(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.76 tff(11276,plain,
% 3.53/3.76 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11275, 3893, 3485, 11259, 426, 539, 787, 175, 164, 555])).
% 3.53/3.76 tff(11277,plain,
% 3.53/3.76 (r(s(s(s(s(z)))), s(s(z)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[68, 11276])).
% 3.53/3.76 tff(11278,plain,
% 3.53/3.76 (~r(s(z), s(s(z)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[113, 11277, 108])).
% 3.53/3.76 tff(11279,plain,
% 3.53/3.76 (b(s(z), s(s(z)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[455, 11278])).
% 3.53/3.76 tff(11280,plain,
% 3.53/3.76 (~b(s(s(z)), s(z))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[521, 487, 164, 486, 474])).
% 3.53/3.76 tff(11281,plain,
% 3.53/3.76 (r(s(s(z)), s(z))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[472, 11280])).
% 3.53/3.76 tff(11282,plain,
% 3.53/3.76 ($false),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[3882, 82, 487, 406, 11281])).
% 3.53/3.76 tff(11283,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.76 tff(11284,plain,
% 3.53/3.76 (~r(s(s(z)), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11283, 11279, 406, 164, 486])).
% 3.53/3.76 tff(11285,plain,
% 3.53/3.76 (b(s(s(z)), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[534, 11284])).
% 3.53/3.76 tff(11286,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11287,plain,
% 3.53/3.76 (((~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(elem!1))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11288,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(elem!1))))))),
% 3.53/3.76 inference(monotonicity,[status(thm)],[11287])).
% 3.53/3.76 tff(11289,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(transitivity,[status(thm)],[11288, 11286])).
% 3.53/3.76 tff(11290,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(elem!1)))))),
% 3.53/3.76 inference(quant_inst,[status(thm)],[])).
% 3.53/3.76 tff(11291,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(elem!1))))),
% 3.53/3.76 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 3.53/3.76 tff(11292,plain,
% 3.53/3.76 ($false),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11291, 338, 11285, 11265, 3254, 3485, 11263])).
% 3.53/3.76 tff(11293,plain,((~r(s(s(z)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (s(s(z)) = s(s(elem!1))) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.76 tff(11294,plain,
% 3.53/3.76 (~r(s(s(z)), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11293, 11254, 11242, 11225, 11227, 555, 11231, 164, 11191, 11239, 11237, 175, 10909])).
% 3.53/3.76 tff(11295,plain,
% 3.53/3.76 (b(s(s(z)), z)),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[956, 11294])).
% 3.53/3.76 tff(11296,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11297,plain,
% 3.53/3.76 (((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 3.53/3.76 inference(rewrite,[status(thm)],[])).
% 3.53/3.76 tff(11298,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))))),
% 3.53/3.76 inference(monotonicity,[status(thm)],[11297])).
% 3.53/3.76 tff(11299,plain,
% 3.53/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 3.53/3.76 inference(transitivity,[status(thm)],[11298, 11296])).
% 3.53/3.76 tff(11300,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))),
% 3.53/3.76 inference(quant_inst,[status(thm)],[])).
% 3.53/3.76 tff(11301,plain,
% 3.53/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))),
% 3.53/3.76 inference(modus_ponens,[status(thm)],[11300, 11299])).
% 3.53/3.76 tff(11302,plain,
% 3.53/3.76 ($false),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11301, 338, 486, 1740, 473, 2431, 456])).
% 3.53/3.76 tff(11303,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.76 tff(11304,plain,
% 3.53/3.76 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[11303, 11295, 11191, 11233, 11225])).
% 3.53/3.76 tff(11305,plain,
% 3.53/3.76 (b(s(s(s(s(z)))), s(s(z)))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[68, 11304])).
% 3.53/3.76 tff(11306,plain,
% 3.53/3.76 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[3437, 11231, 11225])).
% 3.53/3.76 tff(11307,plain,
% 3.53/3.76 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[1011, 11306])).
% 3.53/3.76 tff(11308,plain,
% 3.53/3.76 (~r(s(s(z)), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[572, 11305, 175, 555, 164])).
% 3.53/3.76 tff(11309,plain,
% 3.53/3.76 (b(s(s(z)), s(s(s(z))))),
% 3.53/3.76 inference(unit_resolution,[status(thm)],[534, 11308])).
% 3.53/3.76 tff(11310,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11311,plain,
% 3.53/3.77 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11312,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11311])).
% 3.53/3.77 tff(11313,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.53/3.77 inference(transitivity,[status(thm)],[11312, 11310])).
% 3.53/3.77 tff(11314,plain,
% 3.53/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.53/3.77 inference(quant_inst,[status(thm)],[])).
% 3.53/3.77 tff(11315,plain,
% 3.53/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(elem!1))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.53/3.77 inference(modus_ponens,[status(thm)],[11314, 11313])).
% 3.53/3.77 tff(11316,plain,
% 3.53/3.77 (~b(s(s(s(z))), s(elem!1))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11315, 338, 11309, 1620, 11307, 11305, 10909])).
% 3.53/3.77 tff(11317,plain,
% 3.53/3.77 (~(s(s(s(z))) = s(elem!1))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[10460, 1419])).
% 3.53/3.77 tff(11318,plain,
% 3.53/3.77 (r(s(s(s(z))), s(elem!1))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[3691, 21, 11317, 11316])).
% 3.53/3.77 tff(11319,plain,
% 3.53/3.77 (~b(s(elem!1), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[4621, 11244, 11233, 11191, 1597])).
% 3.53/3.77 tff(11320,plain,
% 3.53/3.77 (r(s(elem!1), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[2070, 11319, 1917])).
% 3.53/3.77 tff(11321,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[3684, 82, 11235, 11320, 11318])).
% 3.53/3.77 tff(11322,plain,((~r(z, s(s(s(z))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (s(elem!1) = s(z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11323,plain,
% 3.53/3.77 (~r(z, s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11322, 10907, 175, 10906, 10614, 10904, 10886, 10859, 747, 10838, 10834, 234])).
% 3.53/3.77 tff(11324,plain,
% 3.53/3.77 (b(z, s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[149, 11323])).
% 3.53/3.77 tff(11325,plain,
% 3.53/3.77 (~(s(s(elem!1)) = s(s(z)))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[10916, 10614])).
% 3.53/3.77 tff(11326,plain,
% 3.53/3.77 (s(s(elem!1)) = elem!1),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[2015, 10834])).
% 3.53/3.77 tff(11327,plain,
% 3.53/3.77 (b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[10511, 10838, 234, 175, 11326])).
% 3.53/3.77 tff(11328,plain,
% 3.53/3.77 (~r(z, s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11189, 11327, 175, 10906, 747, 10834, 10863, 10907, 10859, 10886, 11325, 234])).
% 3.53/3.77 tff(11329,plain,
% 3.53/3.77 (b(z, s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[403, 11328])).
% 3.53/3.77 tff(11330,plain,
% 3.53/3.77 (~r(elem!1, s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[1152, 1038, 10920])).
% 3.53/3.77 tff(11331,plain,
% 3.53/3.77 (b(elem!1, s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[1160, 11330, 10941])).
% 3.53/3.77 tff(11332,plain,
% 3.53/3.77 (b(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[3458, 11331, 1414])).
% 3.53/3.77 tff(11333,plain,
% 3.53/3.77 (~r(s(s(s(s(z)))), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[10675, 786, 10491])).
% 3.53/3.77 tff(11334,plain,
% 3.53/3.77 (b(s(s(s(s(z)))), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[119, 11333])).
% 3.53/3.77 tff(11335,plain,
% 3.53/3.77 (~b(s(z), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[6869, 11334, 175, 555, 486])).
% 3.53/3.77 tff(11336,plain,
% 3.53/3.77 (r(s(z), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[106, 11335])).
% 3.53/3.77 tff(11337,plain,
% 3.53/3.77 (~r(s(z), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[4106, 11336, 1038])).
% 3.53/3.77 tff(11338,plain,
% 3.53/3.77 (b(s(z), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[424, 11337])).
% 3.53/3.77 tff(11339,plain,
% 3.53/3.77 (~b(s(s(s(z))), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11035, 11338, 747, 10909, 3226, 1414, 234, 3348])).
% 3.53/3.77 tff(11340,plain,
% 3.53/3.77 (r(s(s(s(z))), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[437, 11339])).
% 3.53/3.77 tff(11341,plain,
% 3.53/3.77 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[6732, 11336, 786])).
% 3.53/3.77 tff(11342,plain,
% 3.53/3.77 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[368, 11341, 3237])).
% 3.53/3.77 tff(11343,plain,
% 3.53/3.77 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[3262, 11342, 175, 10909, 11334, 486])).
% 3.53/3.77 tff(11344,plain,
% 3.53/3.77 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[689, 11343])).
% 3.53/3.77 tff(11345,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[2959, 11344, 11340, 11336])).
% 3.53/3.77 tff(11346,plain,((~r(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, elem!1)) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11347,plain,
% 3.53/3.77 (~r(s(s(elem!1)), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11346, 1038, 486, 747, 1414, 234, 3348, 175, 555, 10491])).
% 3.53/3.77 tff(11348,plain,
% 3.53/3.77 (b(s(s(elem!1)), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[784, 11347])).
% 3.53/3.77 tff(11349,plain,
% 3.53/3.77 (~b(s(z), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[7851, 11348, 747, 11332, 10909])).
% 3.53/3.77 tff(11350,plain,
% 3.53/3.77 (r(s(z), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[424, 11349])).
% 3.53/3.77 tff(11351,plain,
% 3.53/3.77 (~r(s(s(s(s(z)))), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[3437, 11350, 1038])).
% 3.53/3.77 tff(11352,plain,
% 3.53/3.77 (b(s(s(s(s(z)))), s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[119, 11351])).
% 3.53/3.77 tff(11353,plain,
% 3.53/3.77 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[4106, 11350, 1038])).
% 3.53/3.77 tff(11354,plain,
% 3.53/3.77 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[106, 11353])).
% 3.53/3.77 tff(11355,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[6869, 11354, 11352, 175, 555, 486])).
% 3.53/3.77 tff(11356,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, elem!1)) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11357,plain,
% 3.53/3.77 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11356, 10906, 175, 11329, 747, 10834, 234, 11324, 10838])).
% 3.53/3.77 tff(11358,plain,
% 3.53/3.77 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[1011, 11357])).
% 3.53/3.77 tff(11359,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11360,plain,
% 3.53/3.77 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11361,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11360])).
% 3.53/3.77 tff(11362,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.53/3.77 inference(transitivity,[status(thm)],[11361, 11359])).
% 3.53/3.77 tff(11363,plain,
% 3.53/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 3.53/3.77 inference(quant_inst,[status(thm)],[])).
% 3.53/3.77 tff(11364,plain,
% 3.53/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.53/3.77 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 3.53/3.77 tff(11365,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11364, 338, 486, 3348, 987, 651, 175, 555])).
% 3.53/3.77 tff(11366,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11367,plain,
% 3.53/3.77 (~b(s(z), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11366, 11358, 175, 10906, 11329, 11324])).
% 3.53/3.77 tff(11368,plain,
% 3.53/3.77 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11175, 11358, 175, 747, 11327, 11324, 10906])).
% 3.53/3.77 tff(11369,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[106, 11368, 11367])).
% 3.53/3.77 tff(11370,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11371,plain,
% 3.53/3.77 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11370, 175, 747, 234, 2605, 6387, 165])).
% 3.53/3.77 tff(11372,plain,
% 3.53/3.77 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[379, 371, 165])).
% 3.53/3.77 tff(11373,plain,
% 3.53/3.77 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[10701, 987, 2605])).
% 3.53/3.77 tff(11374,plain,
% 3.53/3.77 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[368, 11373, 11372])).
% 3.53/3.77 tff(11375,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11376,plain,
% 3.53/3.77 (((~r(s(s(s(s(z)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11377,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1))))),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11376])).
% 3.53/3.77 tff(11378,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 3.53/3.77 inference(transitivity,[status(thm)],[11377, 11375])).
% 3.53/3.77 tff(11379,plain,
% 3.53/3.77 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))))),
% 3.53/3.77 inference(quant_inst,[status(thm)],[])).
% 3.53/3.77 tff(11380,plain,
% 3.53/3.77 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1))),
% 3.53/3.77 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 3.53/3.77 tff(11381,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11380, 82, 234, 1147, 371])).
% 3.53/3.77 tff(11382,plain,((~r(s(s(s(s(z)))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11383,plain,
% 3.53/3.77 (~r(s(s(s(s(z)))), elem!1)),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11382, 371, 234])).
% 3.53/3.77 tff(11384,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[8607, 338, 763, 762, 1130, 3484, 3253])).
% 3.53/3.77 tff(11385,plain,((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11386,plain,
% 3.53/3.77 (~b(s(s(s(s(z)))), elem!1)),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11385, 11374, 3484, 763, 762])).
% 3.53/3.77 tff(11387,plain,
% 3.53/3.77 (s(s(s(s(z)))) = elem!1),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[1144, 11386, 11383])).
% 3.53/3.77 tff(11388,plain,
% 3.53/3.77 ((s(z) = s(s(s(s(z))))) <=> (s(z) = elem!1)),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11387])).
% 3.53/3.77 tff(11389,plain,
% 3.53/3.77 ((~(s(z) = s(s(s(s(z)))))) <=> (~(s(z) = elem!1))),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11388])).
% 3.53/3.77 tff(11390,plain,
% 3.53/3.77 (~(s(z) = elem!1)),
% 3.53/3.77 inference(modus_ponens,[status(thm)],[101, 11389])).
% 3.53/3.77 tff(11391,plain,
% 3.53/3.77 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[1237, 11390])).
% 3.53/3.77 tff(11392,plain,
% 3.53/3.77 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[1207, 11391])).
% 3.53/3.77 tff(11393,plain,
% 3.53/3.77 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[919, 164, 371])).
% 3.53/3.77 tff(11394,plain,
% 3.53/3.77 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[689, 11393])).
% 3.53/3.77 tff(11395,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11396,plain,
% 3.53/3.77 (((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z)))))) <=> ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11397,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11396])).
% 3.53/3.77 tff(11398,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.77 inference(transitivity,[status(thm)],[11397, 11395])).
% 3.53/3.77 tff(11399,plain,
% 3.53/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 3.53/3.77 inference(quant_inst,[status(thm)],[])).
% 3.53/3.77 tff(11400,plain,
% 3.53/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.53/3.77 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 3.53/3.77 tff(11401,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11400, 338, 987, 539, 3485, 3484, 3253])).
% 3.53/3.77 tff(11402,plain,((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11403,plain,
% 3.53/3.77 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11402, 11394, 3253, 3484, 987])).
% 3.53/3.77 tff(11404,plain,
% 3.53/3.77 (r(s(s(elem!1)), s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[1211, 21, 11403, 6879])).
% 3.53/3.77 tff(11405,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11406,plain,
% 3.53/3.77 (((~r(s(s(elem!1)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1))))) <=> ((~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11407,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z)))))))),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11406])).
% 3.53/3.77 tff(11408,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.53/3.77 inference(transitivity,[status(thm)],[11407, 11405])).
% 3.53/3.77 tff(11409,plain,
% 3.53/3.77 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))))),
% 3.53/3.77 inference(quant_inst,[status(thm)],[])).
% 3.53/3.77 tff(11410,plain,
% 3.53/3.77 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z)))))),
% 3.53/3.77 inference(modus_ponens,[status(thm)],[11409, 11408])).
% 3.53/3.77 tff(11411,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11410, 82, 165, 164, 11404])).
% 3.53/3.77 tff(11412,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11413,plain,
% 3.53/3.77 (~r(z, s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11412, 11392, 371, 165, 987, 3484, 11374])).
% 3.53/3.77 tff(11414,plain,
% 3.53/3.77 (b(z, s(s(s(z))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[149, 11413])).
% 3.53/3.77 tff(11415,plain,
% 3.53/3.77 ((s(z) = s(s(s(s(z))))) <=> (elem!1 = s(z))),
% 3.53/3.77 inference(transitivity,[status(thm)],[11388, 748])).
% 3.53/3.77 tff(11416,plain,
% 3.53/3.77 ((~(s(z) = s(s(s(s(z)))))) <=> (~(elem!1 = s(z)))),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11415])).
% 3.53/3.77 tff(11417,plain,
% 3.53/3.77 (~(elem!1 = s(z))),
% 3.53/3.77 inference(modus_ponens,[status(thm)],[101, 11416])).
% 3.53/3.77 tff(11418,plain,
% 3.53/3.77 (~r(s(z), z)),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[855, 11417, 762, 747, 10544, 763, 234])).
% 3.53/3.77 tff(11419,plain,
% 3.53/3.77 (b(s(z), z)),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[26, 11418])).
% 3.53/3.77 tff(11420,plain,
% 3.53/3.77 (~r(z, s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[8275, 11390, 165, 234, 762, 763])).
% 3.53/3.77 tff(11421,plain,
% 3.53/3.77 (b(z, s(z))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[403, 11420])).
% 3.53/3.77 tff(11422,plain,
% 3.53/3.77 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[10813, 11414, 175, 11421, 11419, 371])).
% 3.53/3.77 tff(11423,plain,
% 3.53/3.77 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[689, 11422])).
% 3.53/3.77 tff(11424,plain,
% 3.53/3.77 (~b(s(s(s(z))), z)),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[10509, 11423, 175, 11414, 987])).
% 3.53/3.77 tff(11425,plain,
% 3.53/3.77 (r(s(s(s(z))), z)),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[135, 11424])).
% 3.53/3.77 tff(11426,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11427,plain,
% 3.53/3.77 (((~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), z))) <=> ((~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11428,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1))))))),
% 3.53/3.77 inference(monotonicity,[status(thm)],[11427])).
% 3.53/3.77 tff(11429,plain,
% 3.53/3.77 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.77 inference(transitivity,[status(thm)],[11428, 11426])).
% 3.53/3.77 tff(11430,plain,
% 3.53/3.77 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), z)))),
% 3.53/3.77 inference(quant_inst,[status(thm)],[])).
% 3.53/3.77 tff(11431,plain,
% 3.53/3.77 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(elem!1))))),
% 3.53/3.77 inference(modus_ponens,[status(thm)],[11430, 11429])).
% 3.53/3.77 tff(11432,plain,
% 3.53/3.77 ($false),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11431, 82, 165, 426, 163])).
% 3.53/3.77 tff(11433,plain,((~r(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.77 tff(11434,plain,
% 3.53/3.77 (~r(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.77 inference(unit_resolution,[status(thm)],[11433, 11425, 165])).
% 3.53/3.77 tff(11435,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11436,plain,
% 3.53/3.77 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.77 inference(rewrite,[status(thm)],[])).
% 3.53/3.77 tff(11437,plain,
% 3.53/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11436])).
% 3.53/3.78 tff(11438,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.78 inference(transitivity,[status(thm)],[11437, 11435])).
% 3.53/3.78 tff(11439,plain,
% 3.53/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.53/3.78 inference(quant_inst,[status(thm)],[])).
% 3.53/3.78 tff(11440,plain,
% 3.53/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[11439, 11438])).
% 3.53/3.78 tff(11441,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11440, 338, 763, 762, 2401, 2399, 3254])).
% 3.53/3.78 tff(11442,plain,((~(s(s(s(s(z)))) = elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11443,plain,
% 3.53/3.78 (~b(s(s(s(z))), s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11442, 11423, 762, 11387, 763, 987])).
% 3.53/3.78 tff(11444,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1221, 21, 11391, 11443, 11434])).
% 3.53/3.78 tff(11445,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11446,plain,
% 3.53/3.78 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11445, 371, 10423, 10422, 175, 165, 11371, 747, 234, 2605])).
% 3.53/3.78 tff(11447,plain,
% 3.53/3.78 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1011, 11446])).
% 3.53/3.78 tff(11448,plain,
% 3.53/3.78 (~r(z, s(s(s(z))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1119, 11447, 371])).
% 3.53/3.78 tff(11449,plain,
% 3.53/3.78 (b(z, s(s(s(z))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[149, 11448])).
% 3.53/3.78 tff(11450,plain,
% 3.53/3.78 (~(s(s(s(z))) = s(elem!1))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[10473, 1731, 234, 747, 323, 317])).
% 3.53/3.78 tff(11451,plain,
% 3.53/3.78 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[4794, 11450])).
% 3.53/3.78 tff(11452,plain,
% 3.53/3.78 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[178, 5931])).
% 3.53/3.78 tff(11453,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[4798, 11452])).
% 3.53/3.78 tff(11454,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11455,plain,
% 3.53/3.78 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11454, 11451])).
% 3.53/3.78 tff(11456,plain,
% 3.53/3.78 (~r(s(s(s(s(z)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[2112, 1731, 371])).
% 3.53/3.78 tff(11457,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[119, 11456])).
% 3.53/3.78 tff(11458,plain,
% 3.53/3.78 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11459,plain,
% 3.53/3.78 (((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))) <=> ((~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11460,plain,
% 3.53/3.78 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11459])).
% 3.53/3.78 tff(11461,plain,
% 3.53/3.78 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.53/3.78 inference(transitivity,[status(thm)],[11460, 11458])).
% 3.53/3.78 tff(11462,plain,
% 3.53/3.78 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.53/3.78 inference(quant_inst,[status(thm)],[])).
% 3.53/3.78 tff(11463,plain,
% 3.53/3.78 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[11462, 11461])).
% 3.53/3.78 tff(11464,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11463, 82, 1731, 72, 371])).
% 3.53/3.78 tff(11465,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11466,plain,
% 3.53/3.78 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11465, 1731, 371])).
% 3.53/3.78 tff(11467,plain,
% 3.53/3.78 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[106, 11466])).
% 3.53/3.78 tff(11468,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11469,plain,
% 3.53/3.78 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1))))) <=> ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11470,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11469])).
% 3.53/3.78 tff(11471,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.53/3.78 inference(transitivity,[status(thm)],[11470, 11468])).
% 3.53/3.78 tff(11472,plain,
% 3.53/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))))),
% 3.53/3.78 inference(quant_inst,[status(thm)],[])).
% 3.53/3.78 tff(11473,plain,
% 3.53/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 3.53/3.78 tff(11474,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11473, 338, 747, 651, 2911, 3484, 3253])).
% 3.53/3.78 tff(11475,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11476,plain,
% 3.53/3.78 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11475, 11467, 747, 3484, 11457])).
% 3.53/3.78 tff(11477,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[368, 11476, 11455, 362])).
% 3.53/3.78 tff(11478,plain,((~r(z, s(z))) | r(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, elem!1)) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11479,plain,
% 3.53/3.78 (~r(z, s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11478, 11372, 747, 11371, 371, 234, 263, 288])).
% 3.53/3.78 tff(11480,plain,
% 3.53/3.78 (~(elem!1 = s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[899, 11479, 234])).
% 3.53/3.78 tff(11481,plain,
% 3.53/3.78 (~r(s(z), z)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[855, 11480, 10423, 747, 10544, 10422, 234])).
% 3.53/3.78 tff(11482,plain,
% 3.53/3.78 (b(s(z), z)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[26, 11481])).
% 3.53/3.78 tff(11483,plain,
% 3.53/3.78 (b(z, s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[403, 11479])).
% 3.53/3.78 tff(11484,plain,
% 3.53/3.78 (~r(s(z), s(s(s(z))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[3437, 108, 1038])).
% 3.53/3.78 tff(11485,plain,
% 3.53/3.78 (b(s(z), s(s(s(z))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[424, 11484])).
% 3.53/3.78 tff(11486,plain,
% 3.53/3.78 (~b(s(s(s(z))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[3356, 11485, 486, 1740, 3348])).
% 3.53/3.78 tff(11487,plain,
% 3.53/3.78 (r(s(s(s(z))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[437, 11486])).
% 3.53/3.78 tff(11488,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[2880, 82, 1038, 108, 11487])).
% 3.53/3.78 tff(11489,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11490,plain,
% 3.53/3.78 (~r(s(s(s(s(z)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11489, 11447, 11483, 11482, 11449])).
% 3.53/3.78 tff(11491,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[119, 11490])).
% 3.53/3.78 tff(11492,plain,
% 3.53/3.78 (~b(s(z), s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[3204, 11491, 175, 11483, 11482])).
% 3.53/3.78 tff(11493,plain,
% 3.53/3.78 (r(s(z), s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[106, 11492])).
% 3.53/3.78 tff(11494,plain,
% 3.53/3.78 (~r(s(z), s(s(s(z))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[4106, 11493, 11447])).
% 3.53/3.78 tff(11495,plain,
% 3.53/3.78 (b(s(z), s(s(s(z))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[424, 11494])).
% 3.53/3.78 tff(11496,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11497,plain,
% 3.53/3.78 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11498,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11497])).
% 3.53/3.78 tff(11499,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.78 inference(transitivity,[status(thm)],[11498, 11496])).
% 3.53/3.78 tff(11500,plain,
% 3.53/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.53/3.78 inference(quant_inst,[status(thm)],[])).
% 3.53/3.78 tff(11501,plain,
% 3.53/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[11500, 11499])).
% 3.53/3.78 tff(11502,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11501, 338, 878, 486, 457, 3348, 175, 3484])).
% 3.53/3.78 tff(11503,plain,((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11504,plain,
% 3.53/3.78 (~b(s(s(elem!1)), z)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11503, 11495, 175, 11371, 11483, 11449])).
% 3.53/3.78 tff(11505,plain,
% 3.53/3.78 (r(s(s(elem!1)), z)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[800, 11504])).
% 3.53/3.78 tff(11506,plain,
% 3.53/3.78 (~r(s(elem!1), z)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[5958, 11505, 10433])).
% 3.53/3.78 tff(11507,plain,
% 3.53/3.78 (b(s(elem!1), z)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1812, 11506])).
% 3.53/3.78 tff(11508,plain,
% 3.53/3.78 (~(s(z) = elem!1)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[752, 11480])).
% 3.53/3.78 tff(11509,plain,
% 3.53/3.78 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[10588, 371, 165])).
% 3.53/3.78 tff(11510,plain,
% 3.53/3.78 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[10578, 10433, 210, 234, 6387, 10422, 294, 165, 747, 691, 2911, 137])).
% 3.53/3.78 tff(11511,plain,
% 3.53/3.78 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11454, 11510])).
% 3.53/3.78 tff(11512,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[10478, 11510, 10476])).
% 3.53/3.78 tff(11513,plain,
% 3.53/3.78 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11385, 11512, 1130, 10422, 10423])).
% 3.53/3.78 tff(11514,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[368, 11513, 11511, 362])).
% 3.53/3.78 tff(11515,plain,((elem!1 = s(s(elem!1))) | r(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | r(s(s(s(s(z)))), s(s(elem!1))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (~b(s(s(s(s(z)))), s(z))) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11516,plain,
% 3.53/3.78 (~b(s(s(s(s(z)))), elem!1)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11515, 11491, 747, 11509, 234, 6387, 165, 137, 11372, 11508, 2605])).
% 3.53/3.78 tff(11517,plain,
% 3.53/3.78 (s(s(s(s(z)))) = elem!1),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1144, 11516, 11383])).
% 3.53/3.78 tff(11518,plain,
% 3.53/3.78 (r(s(z), elem!1)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1019, 11493, 11517])).
% 3.53/3.78 tff(11519,plain,
% 3.53/3.78 (r(s(z), s(elem!1))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[10652, 11504, 10422, 11482, 10688, 10433, 11483])).
% 3.53/3.78 tff(11520,plain,
% 3.53/3.78 (~r(elem!1, s(elem!1))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1981, 11519, 11518])).
% 3.53/3.78 tff(11521,plain,
% 3.53/3.78 (b(elem!1, s(elem!1))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[252, 11520, 232])).
% 3.53/3.78 tff(11522,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), z) <=> b(elem!1, z)),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11517])).
% 3.53/3.78 tff(11523,plain,
% 3.53/3.78 (b(elem!1, z)),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[175, 11522])).
% 3.53/3.78 tff(11524,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11525,plain,
% 3.53/3.78 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1)))) <=> ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11526,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z)))))))),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11525])).
% 3.53/3.78 tff(11527,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.53/3.78 inference(transitivity,[status(thm)],[11526, 11524])).
% 3.53/3.78 tff(11528,plain,
% 3.53/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))))),
% 3.53/3.78 inference(quant_inst,[status(thm)],[])).
% 3.53/3.78 tff(11529,plain,
% 3.53/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 3.53/3.78 tff(11530,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11529, 338, 11523, 11521, 11507, 11483, 11495, 11449])).
% 3.53/3.78 tff(11531,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11532,plain,
% 3.53/3.78 (~r(z, s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11531, 137, 747, 234, 6387, 165, 175, 2605])).
% 3.53/3.78 tff(11533,plain,
% 3.53/3.78 (b(z, s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[391, 11532])).
% 3.53/3.78 tff(11534,plain,
% 3.53/3.78 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1412, 10424])).
% 3.53/3.78 tff(11535,plain,
% 3.53/3.78 (b(z, s(s(s(elem!1))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[2141, 11534, 11533])).
% 3.53/3.78 tff(11536,plain,
% 3.53/3.78 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.53/3.78 inference(monotonicity,[status(thm)],[10424])).
% 3.53/3.78 tff(11537,plain,
% 3.53/3.78 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 3.53/3.78 inference(transitivity,[status(thm)],[11536, 1254])).
% 3.53/3.78 tff(11538,plain,
% 3.53/3.78 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11537])).
% 3.53/3.78 tff(11539,plain,
% 3.53/3.78 (~(s(s(s(elem!1))) = elem!1)),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[1263, 11538])).
% 3.53/3.78 tff(11540,plain,
% 3.53/3.78 (r(s(s(s(elem!1))), elem!1)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[10629, 11539, 234, 6387, 165, 137, 10433])).
% 3.53/3.78 tff(11541,plain,
% 3.53/3.78 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[2218, 10432, 10424, 234, 2181, 11540, 11535])).
% 3.53/3.78 tff(11542,plain,
% 3.53/3.78 (b(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1585, 11541])).
% 3.53/3.78 tff(11543,plain,
% 3.53/3.78 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1593, 11542, 10424])).
% 3.53/3.78 tff(11544,plain,
% 3.53/3.78 (b(s(z), z) <=> b(elem!1, z)),
% 3.53/3.78 inference(monotonicity,[status(thm)],[10424])).
% 3.53/3.78 tff(11545,plain,
% 3.53/3.78 (~r(s(z), s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[4588, 4550, 165])).
% 3.53/3.78 tff(11546,plain,
% 3.53/3.78 (b(s(z), s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[743, 11545])).
% 3.53/3.78 tff(11547,plain,
% 3.53/3.78 (s(z) = elem!1),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[8272, 10423, 234, 4550, 11546, 10422])).
% 3.53/3.78 tff(11548,plain,
% 3.53/3.78 (s(s(s(z))) = s(s(elem!1))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[873, 11547])).
% 3.53/3.78 tff(11549,plain,
% 3.53/3.78 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11548])).
% 3.53/3.78 tff(11550,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 3.53/3.78 inference(monotonicity,[status(thm)],[11549])).
% 3.53/3.78 tff(11551,plain,
% 3.53/3.78 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11552,plain,
% 3.53/3.78 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)))),
% 3.53/3.78 inference(quant_inst,[status(thm)],[])).
% 3.53/3.78 tff(11553,plain,
% 3.53/3.78 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z))),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 3.53/3.78 tff(11554,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11553, 82, 165, 1122, 10491])).
% 3.53/3.78 tff(11555,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11556,plain,
% 3.53/3.78 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11555, 1122, 165])).
% 3.53/3.78 tff(11557,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[10478, 11556, 10475])).
% 3.53/3.78 tff(11558,plain,
% 3.53/3.78 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11559,plain,
% 3.53/3.78 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 3.53/3.78 inference(quant_inst,[status(thm)],[])).
% 3.53/3.78 tff(11560,plain,
% 3.53/3.78 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[11559, 11558])).
% 3.53/3.78 tff(11561,plain,
% 3.53/3.78 ($false),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11560, 82, 405, 108, 1122])).
% 3.53/3.78 tff(11562,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.78 tff(11563,plain,
% 3.53/3.78 (~r(s(s(s(s(z)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[11562, 1122, 405])).
% 3.53/3.78 tff(11564,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[119, 11563])).
% 3.53/3.78 tff(11565,plain,
% 3.53/3.78 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[2977, 1122, 405])).
% 3.53/3.78 tff(11566,plain,
% 3.53/3.78 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[106, 11565])).
% 3.53/3.78 tff(11567,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), elem!1)),
% 3.53/3.78 inference(monotonicity,[status(thm)],[193])).
% 3.53/3.78 tff(11568,plain,
% 3.53/3.78 (b(s(s(s(s(z)))), elem!1)),
% 3.53/3.78 inference(modus_ponens,[status(thm)],[3484, 11567])).
% 3.53/3.78 tff(11569,plain,
% 3.53/3.78 (s(elem!1) = s(s(s(elem!1)))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[217, 10483])).
% 3.53/3.78 tff(11570,plain,
% 3.53/3.78 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[3225, 11569])).
% 3.53/3.78 tff(11571,plain,
% 3.53/3.78 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[10928, 10482, 813])).
% 3.53/3.78 tff(11572,plain,
% 3.53/3.78 (b(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1585, 11571])).
% 3.53/3.78 tff(11573,plain,
% 3.53/3.78 (b(elem!1, s(z))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[3317, 11572, 11570, 193])).
% 3.53/3.78 tff(11574,plain,
% 3.53/3.78 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1431, 10482])).
% 3.53/3.78 tff(11575,plain,
% 3.53/3.78 (~(s(z) = elem!1)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[1412, 11574])).
% 3.53/3.78 tff(11576,plain,
% 3.53/3.78 (b(s(z), elem!1)),
% 3.53/3.78 inference(unit_resolution,[status(thm)],[701, 11575, 176])).
% 3.53/3.78 tff(11577,plain,
% 3.53/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.53/3.78 inference(rewrite,[status(thm)],[])).
% 3.53/3.78 tff(11578,plain,
% 3.53/3.78 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.53/3.79 inference(rewrite,[status(thm)],[])).
% 3.53/3.79 tff(11579,plain,
% 3.53/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11578])).
% 3.53/3.79 tff(11580,plain,
% 3.53/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11579, 11577])).
% 3.53/3.79 tff(11581,plain,
% 3.53/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.53/3.79 inference(quant_inst,[status(thm)],[])).
% 3.53/3.79 tff(11582,plain,
% 3.53/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11581, 11580])).
% 3.53/3.79 tff(11583,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11582, 338, 11576, 11573, 651, 2911, 11568])).
% 3.53/3.79 tff(11584,plain,((~(s(s(elem!1)) = elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | r(s(z), elem!1) | r(elem!1, s(z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11585,plain,
% 3.53/3.79 (~(s(s(elem!1)) = elem!1)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11584, 11566, 11564, 11557, 9848, 9850])).
% 3.53/3.79 tff(11586,plain,
% 3.53/3.79 (~(elem!1 = s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2015, 11585])).
% 3.53/3.79 tff(11587,plain,
% 3.53/3.79 (b(elem!1, s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[321, 11586, 288])).
% 3.53/3.79 tff(11588,plain,
% 3.53/3.79 (b(s(s(elem!1)), elem!1)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[327, 11585, 263])).
% 3.53/3.79 tff(11589,plain,
% 3.53/3.79 (s(z) = elem!1),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[8275, 11588, 165, 234, 1731, 11587])).
% 3.53/3.79 tff(11590,plain,
% 3.53/3.79 (s(s(z)) = s(elem!1)),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11589])).
% 3.53/3.79 tff(11591,plain,
% 3.53/3.79 (s(s(s(z))) = s(s(elem!1))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11590])).
% 3.53/3.79 tff(11592,plain,
% 3.53/3.79 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11591])).
% 3.53/3.79 tff(11593,plain,
% 3.53/3.79 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11592])).
% 3.53/3.79 tff(11594,plain,
% 3.53/3.79 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11589])).
% 3.53/3.79 tff(11595,plain,
% 3.53/3.79 (b(s(s(s(s(z)))), elem!1)),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11564, 11594])).
% 3.53/3.79 tff(11596,plain,
% 3.53/3.79 (b(s(s(s(elem!1))), elem!1)),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11595, 11593])).
% 3.53/3.79 tff(11597,plain,
% 3.53/3.79 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11592])).
% 3.53/3.79 tff(11598,plain,
% 3.53/3.79 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11589])).
% 3.53/3.79 tff(11599,plain,
% 3.53/3.79 (b(elem!1, s(s(s(s(z)))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11566, 11598])).
% 3.53/3.79 tff(11600,plain,
% 3.53/3.79 (b(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11599, 11597])).
% 3.53/3.79 tff(11601,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2175, 338, 11588, 11600, 11596, 11587, 6387])).
% 3.53/3.79 tff(11602,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~r(z, s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11603,plain,
% 3.53/3.79 (~r(s(s(s(s(z)))), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11602, 27, 165, 234, 4550, 6387])).
% 3.53/3.79 tff(11604,plain,
% 3.53/3.79 (b(s(s(s(s(z)))), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[127, 11603])).
% 3.53/3.79 tff(11605,plain,
% 3.53/3.79 (b(s(s(s(elem!1))), z)),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11604, 11550])).
% 3.53/3.79 tff(11606,plain,
% 3.53/3.79 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11547])).
% 3.53/3.79 tff(11607,plain,
% 3.53/3.79 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 3.53/3.79 inference(transitivity,[status(thm)],[11606, 1254])).
% 3.53/3.79 tff(11608,plain,
% 3.53/3.79 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11607, 3376])).
% 3.53/3.79 tff(11609,plain,
% 3.53/3.79 ((~(s(z) = s(s(s(elem!1))))) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11608])).
% 3.53/3.79 tff(11610,plain,
% 3.53/3.79 (~(elem!1 = s(s(s(elem!1))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[1263, 11609])).
% 3.53/3.79 tff(11611,plain,
% 3.53/3.79 (~r(z, s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[7576, 11610, 165, 234, 137])).
% 3.53/3.79 tff(11612,plain,
% 3.53/3.79 (b(z, s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1373, 11611])).
% 3.53/3.79 tff(11613,plain,
% 3.53/3.79 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11549])).
% 3.53/3.79 tff(11614,plain,
% 3.53/3.79 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11547])).
% 3.53/3.79 tff(11615,plain,
% 3.53/3.79 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11614, 11613])).
% 3.53/3.79 tff(11616,plain,
% 3.53/3.79 (b(s(z), z) <=> b(elem!1, z)),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11547])).
% 3.53/3.79 tff(11617,plain,
% 3.53/3.79 ((~b(s(z), z)) <=> (~b(elem!1, z))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11616])).
% 3.53/3.79 tff(11618,plain,
% 3.53/3.79 (~b(elem!1, z)),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[1, 11617])).
% 3.53/3.79 tff(11619,plain,
% 3.53/3.79 (b(z, s(z)) <=> b(z, elem!1)),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11547])).
% 3.53/3.79 tff(11620,plain,
% 3.53/3.79 ((~b(z, s(z))) <=> (~b(z, elem!1))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11619])).
% 3.53/3.79 tff(11621,plain,
% 3.53/3.79 (~b(z, elem!1)),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[398, 11620])).
% 3.53/3.79 tff(11622,plain,
% 3.53/3.79 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1336, 6526])).
% 3.53/3.79 tff(11623,plain,
% 3.53/3.79 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.53/3.79 inference(transitivity,[status(thm)],[6524, 3376])).
% 3.53/3.79 tff(11624,plain,
% 3.53/3.79 ((~(s(z) = s(s(s(elem!1))))) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11623])).
% 3.53/3.79 tff(11625,plain,
% 3.53/3.79 (~(elem!1 = s(s(s(elem!1))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[1263, 11624])).
% 3.53/3.79 tff(11626,plain,
% 3.53/3.79 (~r(z, s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[7576, 11625, 165, 234, 137])).
% 3.53/3.79 tff(11627,plain,
% 3.53/3.79 (b(z, s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1373, 11626])).
% 3.53/3.79 tff(11628,plain,
% 3.53/3.79 (r(s(z), s(s(s(elem!1)))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[749])).
% 3.53/3.79 tff(11629,plain,
% 3.53/3.79 (r(elem!1, s(s(s(elem!1)))) <=> r(s(z), s(s(s(elem!1))))),
% 3.53/3.79 inference(symmetry,[status(thm)],[11628])).
% 3.53/3.79 tff(11630,plain,
% 3.53/3.79 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[1484])).
% 3.53/3.79 tff(11631,plain,
% 3.53/3.79 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11630])).
% 3.53/3.79 tff(11632,plain,
% 3.53/3.79 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[749])).
% 3.53/3.79 tff(11633,plain,
% 3.53/3.79 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(s(elem!1))))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11632, 11631, 11629])).
% 3.53/3.79 tff(11634,plain,
% 3.53/3.79 (r(s(z), s(s(s(elem!1))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[72, 11633])).
% 3.53/3.79 tff(11635,plain,
% 3.53/3.79 (elem!1 = s(z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[752, 749])).
% 3.53/3.79 tff(11636,plain,
% 3.53/3.79 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11632, 11631])).
% 3.53/3.79 tff(11637,plain,
% 3.53/3.79 (r(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[72, 11636])).
% 3.53/3.79 tff(11638,plain,
% 3.53/3.79 (~b(s(s(s(elem!1))), elem!1)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[6708, 11637, 165, 234, 6387, 10423, 11627, 294, 10422, 210])).
% 3.53/3.79 tff(11639,plain,
% 3.53/3.79 (r(s(s(s(elem!1))), elem!1)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2162, 11638, 6526])).
% 3.53/3.79 tff(11640,plain,
% 3.53/3.79 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(elem!1))), s(z))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[693])).
% 3.53/3.79 tff(11641,plain,
% 3.53/3.79 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), elem!1)),
% 3.53/3.79 inference(symmetry,[status(thm)],[11640])).
% 3.53/3.79 tff(11642,plain,
% 3.53/3.79 ((~r(s(s(s(elem!1))), s(z))) <=> (~r(s(s(s(elem!1))), elem!1))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11641])).
% 3.53/3.79 tff(11643,plain,
% 3.53/3.79 (~r(s(s(s(elem!1))), elem!1)),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[1851, 11642])).
% 3.53/3.79 tff(11644,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1269, 11643])).
% 3.53/3.79 tff(11645,plain,((~(elem!1 = s(z))) | (~r(s(s(s(elem!1))), elem!1)) | r(s(s(s(elem!1))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11646,plain,
% 3.53/3.79 (r(s(s(s(elem!1))), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11645, 11639, 11635])).
% 3.53/3.79 tff(11647,plain,
% 3.53/3.79 (b(s(elem!1), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[6423, 11646, 165, 225, 10613, 177, 11634, 11627, 137, 3977])).
% 3.53/3.79 tff(11648,plain,
% 3.53/3.79 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), elem!1)),
% 3.53/3.79 inference(monotonicity,[status(thm)],[749])).
% 3.53/3.79 tff(11649,plain,
% 3.53/3.79 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(z))),
% 3.53/3.79 inference(symmetry,[status(thm)],[11648])).
% 3.53/3.79 tff(11650,plain,
% 3.53/3.79 (b(s(s(elem!1)), s(z))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[10422, 11649])).
% 3.53/3.79 tff(11651,plain,
% 3.53/3.79 (r(s(z), s(elem!1)) <=> r(elem!1, s(elem!1))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[749])).
% 3.53/3.79 tff(11652,plain,
% 3.53/3.79 (r(elem!1, s(elem!1)) <=> r(s(z), s(elem!1))),
% 3.53/3.79 inference(symmetry,[status(thm)],[11651])).
% 3.53/3.79 tff(11653,plain,
% 3.53/3.79 ((~r(elem!1, s(elem!1))) <=> (~r(s(z), s(elem!1)))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11652])).
% 3.53/3.79 tff(11654,plain,
% 3.53/3.79 (r(elem!1, z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[867, 749, 405])).
% 3.53/3.79 tff(11655,plain,
% 3.53/3.79 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[5355, 235, 1595, 1596, 802, 234])).
% 3.53/3.79 tff(11656,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1515, 11655, 7066, 215])).
% 3.53/3.79 tff(11657,plain,((~r(elem!1, s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~r(elem!1, z)) | (~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11658,plain,
% 3.53/3.79 (~r(elem!1, s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11657, 11637, 234, 210, 11654, 11627, 1596])).
% 3.53/3.79 tff(11659,plain,
% 3.53/3.79 (~r(s(z), s(elem!1))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11658, 11653])).
% 3.53/3.79 tff(11660,plain,
% 3.53/3.79 (b(s(z), s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[3066, 11659, 10718])).
% 3.53/3.79 tff(11661,plain,
% 3.53/3.79 (~b(s(elem!1), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[3092, 11660, 747, 11650, 11647])).
% 3.53/3.79 tff(11662,plain,
% 3.53/3.79 (r(s(elem!1), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[3081, 11661, 6853])).
% 3.53/3.79 tff(11663,plain,
% 3.53/3.79 (~r(s(elem!1), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1823, 11662, 165])).
% 3.53/3.79 tff(11664,plain,
% 3.53/3.79 (b(s(elem!1), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1812, 11663])).
% 3.53/3.79 tff(11665,plain,
% 3.53/3.79 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2218, 11639, 1596, 234, 2181, 749, 11627])).
% 3.53/3.79 tff(11666,plain,
% 3.53/3.79 (b(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1585, 11665])).
% 3.53/3.79 tff(11667,plain,
% 3.53/3.79 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1593, 11666, 749])).
% 3.53/3.79 tff(11668,plain,
% 3.53/3.79 (~r(s(s(s(s(elem!1)))), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2249, 11667, 165, 10423, 405, 10422, 749])).
% 3.53/3.79 tff(11669,plain,
% 3.53/3.79 (b(s(s(s(s(elem!1)))), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1638, 11668])).
% 3.53/3.79 tff(11670,plain,
% 3.53/3.79 (~r(s(elem!1), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1823, 1814, 165])).
% 3.53/3.79 tff(11671,plain,
% 3.53/3.79 (b(s(elem!1), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1812, 11670])).
% 3.53/3.79 tff(11672,assumption,(r(s(elem!1), s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.53/3.79 tff(11673,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[9275, 82, 1653, 1814, 11672])).
% 3.53/3.79 tff(11674,plain,((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11675,plain,
% 3.53/3.79 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11674, 1653, 1814])).
% 3.53/3.79 tff(11676,plain,
% 3.53/3.79 ((s(elem!1) = s(s(s(s(elem!1))))) | b(s(elem!1), s(s(s(s(elem!1))))) | r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1532, 21])).
% 3.53/3.79 tff(11677,plain,
% 3.53/3.79 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11676, 11675, 1482])).
% 3.53/3.79 tff(11678,assumption,(b(s(elem!1), s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.53/3.79 tff(11679,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[5293, 338, 1597, 1701, 1700, 1796, 11678])).
% 3.53/3.79 tff(11680,plain,((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11681,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11680, 1699, 1677, 11677, 11671, 1597])).
% 3.53/3.79 tff(11682,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(z, s(elem!1))) | (s(elem!1) = s(s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11683,plain,
% 3.53/3.79 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11682, 11662, 11622, 6584, 165])).
% 3.53/3.79 tff(11684,plain,
% 3.53/3.79 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1651, 11683, 2119])).
% 3.53/3.79 tff(11685,plain,
% 3.53/3.79 (~b(elem!1, s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2247, 338, 10422, 10423, 11684, 11667])).
% 3.53/3.79 tff(11686,plain,
% 3.53/3.79 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2297, 11685, 5369])).
% 3.53/3.79 tff(11687,plain,
% 3.53/3.79 (~r(z, s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2292, 11686, 11654])).
% 3.53/3.79 tff(11688,plain,
% 3.53/3.79 (b(z, s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1698, 11687])).
% 3.53/3.79 tff(11689,plain,
% 3.53/3.79 (~b(s(elem!1), s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11680, 11688, 11669, 11664, 6584])).
% 3.53/3.79 tff(11690,plain,
% 3.53/3.79 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11676, 11689, 11622])).
% 3.53/3.79 tff(11691,plain,
% 3.53/3.79 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1719, 338, 10422, 10423, 11684, 11667])).
% 3.53/3.79 tff(11692,plain,
% 3.53/3.79 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1724, 11691, 2120])).
% 3.53/3.79 tff(11693,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[7867, 82, 264, 11692, 11690])).
% 3.53/3.79 tff(11694,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~(s(z) = elem!1)) | (~b(s(s(s(elem!1))), z)) | (~r(z, elem!1)) | (~b(s(z), s(s(elem!1)))) | b(z, elem!1) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11695,plain,
% 3.53/3.79 (~r(s(z), s(s(s(s(z)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11694, 10433, 165, 27, 11547, 11605, 234, 11546, 11621, 137, 11618, 6387])).
% 3.53/3.79 tff(11696,plain,
% 3.53/3.79 (b(s(z), s(s(s(s(z)))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[106, 11695])).
% 3.53/3.79 tff(11697,plain,
% 3.53/3.79 (b(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11696, 11615])).
% 3.53/3.79 tff(11698,plain,
% 3.53/3.79 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[6395, 11697, 10422, 10423, 6387])).
% 3.53/3.79 tff(11699,plain,
% 3.53/3.79 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2619, 11698, 7060])).
% 3.53/3.79 tff(11700,plain,
% 3.53/3.79 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2629, 11699, 10433])).
% 3.53/3.79 tff(11701,plain,
% 3.53/3.79 (b(s(elem!1), s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1515, 11700, 210])).
% 3.53/3.79 tff(11702,plain,
% 3.53/3.79 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[6302, 11699, 10433])).
% 3.53/3.79 tff(11703,plain,
% 3.53/3.79 (b(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1971, 11702, 218])).
% 3.53/3.79 tff(11704,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1605, 11703, 11701, 10688, 11612, 11605])).
% 3.53/3.79 tff(11705,plain,((elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | b(s(z), z) | b(z, s(z)) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11706,plain,
% 3.53/3.79 (b(s(z), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11705, 398, 165, 234, 6387, 137, 2605])).
% 3.53/3.79 tff(11707,plain,
% 3.53/3.79 (b(elem!1, z)),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11706, 11544])).
% 3.53/3.79 tff(11708,plain,
% 3.53/3.79 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 3.53/3.79 inference(monotonicity,[status(thm)],[10424])).
% 3.53/3.79 tff(11709,plain,
% 3.53/3.79 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(z))),
% 3.53/3.79 inference(symmetry,[status(thm)],[11708])).
% 3.53/3.79 tff(11710,plain,
% 3.53/3.79 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 3.53/3.79 inference(monotonicity,[status(thm)],[10430])).
% 3.53/3.79 tff(11711,plain,
% 3.53/3.79 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 3.53/3.79 inference(symmetry,[status(thm)],[11710])).
% 3.53/3.79 tff(11712,plain,
% 3.53/3.79 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), s(z))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11711, 11709])).
% 3.53/3.79 tff(11713,plain,
% 3.53/3.79 (r(s(s(s(s(z)))), s(z))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11540, 11712])).
% 3.53/3.79 tff(11714,plain,
% 3.53/3.79 (~r(s(s(s(z))), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2890, 4550, 164])).
% 3.53/3.79 tff(11715,plain,
% 3.53/3.79 (b(s(s(s(z))), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[437, 11714])).
% 3.53/3.79 tff(11716,plain,
% 3.53/3.79 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(z))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[1345])).
% 3.53/3.79 tff(11717,plain,
% 3.53/3.79 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.53/3.79 inference(symmetry,[status(thm)],[11716])).
% 3.53/3.79 tff(11718,plain,
% 3.53/3.79 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[869])).
% 3.53/3.79 tff(11719,plain,
% 3.53/3.79 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11718, 11717])).
% 3.53/3.79 tff(11720,plain,
% 3.53/3.79 (r(s(z), s(s(z))) <=> r(elem!1, s(s(z)))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[749])).
% 3.53/3.79 tff(11721,plain,
% 3.53/3.79 (r(elem!1, s(s(z))) <=> r(s(z), s(s(z)))),
% 3.53/3.79 inference(symmetry,[status(thm)],[11720])).
% 3.53/3.79 tff(11722,plain,
% 3.53/3.79 (r(elem!1, s(s(z))) <=> r(elem!1, s(elem!1))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[869])).
% 3.53/3.79 tff(11723,plain,
% 3.53/3.79 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(z)))),
% 3.53/3.79 inference(symmetry,[status(thm)],[11722])).
% 3.53/3.79 tff(11724,plain,
% 3.53/3.79 (r(elem!1, s(elem!1)) <=> r(s(z), s(s(z)))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11723, 11721])).
% 3.53/3.79 tff(11725,plain,
% 3.53/3.79 ((~r(elem!1, s(elem!1))) <=> (~r(s(z), s(s(z))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11724])).
% 3.53/3.79 tff(11726,plain,
% 3.53/3.79 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1280, 2033])).
% 3.53/3.79 tff(11727,plain,
% 3.53/3.79 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1804, 1796, 1595, 1596, 6584])).
% 3.53/3.79 tff(11728,plain,
% 3.53/3.79 (r(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1971, 11727, 222])).
% 3.53/3.79 tff(11729,plain,
% 3.53/3.79 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2048, 2043, 264])).
% 3.53/3.79 tff(11730,plain,
% 3.53/3.79 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1292, 11729, 1327])).
% 3.53/3.79 tff(11731,plain,
% 3.53/3.79 (~r(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1966, 2043, 235])).
% 3.53/3.79 tff(11732,plain,
% 3.53/3.79 (b(elem!1, s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1946, 11731, 1939])).
% 3.53/3.79 tff(11733,plain,
% 3.53/3.79 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[6395, 11732, 763, 762, 11730])).
% 3.53/3.79 tff(11734,plain,
% 3.53/3.79 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2619, 11733, 8988])).
% 3.53/3.79 tff(11735,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[6300, 82, 2043, 264, 11734])).
% 3.53/3.79 tff(11736,plain,((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(s(s(elem!1))) = s(s(elem!1))) | (elem!1 = s(s(s(elem!1)))) | (~r(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11737,plain,
% 3.53/3.79 (~r(elem!1, s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11736, 11728, 264, 11625, 11726, 763, 762])).
% 3.53/3.79 tff(11738,plain,
% 3.53/3.79 (~r(s(z), s(s(z)))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11737, 11725])).
% 3.53/3.79 tff(11739,plain,
% 3.53/3.79 (b(s(z), s(s(z)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[455, 11738])).
% 3.53/3.79 tff(11740,plain,
% 3.53/3.79 (r(s(s(s(s(z)))), s(s(z)))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11728, 5319])).
% 3.53/3.79 tff(11741,plain,
% 3.53/3.79 (~r(s(s(z)), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[464, 11740, 108])).
% 3.53/3.79 tff(11742,plain,
% 3.53/3.79 (b(s(s(z)), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[472, 11741])).
% 3.53/3.79 tff(11743,plain,
% 3.53/3.79 (~b(s(s(z)), s(s(s(z))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[484, 11742, 458, 1736, 11739])).
% 3.53/3.79 tff(11744,plain,
% 3.53/3.79 (r(s(s(z)), s(s(s(z))))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[534, 11743])).
% 3.53/3.79 tff(11745,plain,
% 3.53/3.79 (r(s(elem!1), s(s(elem!1)))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11744, 11719])).
% 3.53/3.79 tff(11746,plain,
% 3.53/3.79 (b(elem!1, s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[252, 11737, 5894])).
% 3.53/3.79 tff(11747,plain,
% 3.53/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.53/3.79 inference(rewrite,[status(thm)],[])).
% 3.53/3.79 tff(11748,plain,
% 3.53/3.79 (((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.53/3.79 inference(rewrite,[status(thm)],[])).
% 3.53/3.79 tff(11749,plain,
% 3.53/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11748])).
% 3.53/3.79 tff(11750,plain,
% 3.53/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11749, 11747])).
% 3.53/3.79 tff(11751,plain,
% 3.53/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.53/3.79 inference(quant_inst,[status(thm)],[])).
% 3.53/3.79 tff(11752,plain,
% 3.53/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11751, 11750])).
% 3.53/3.79 tff(11753,plain,
% 3.53/3.79 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11752, 338, 1131, 763, 11746, 1796, 1621])).
% 3.53/3.79 tff(11754,plain,
% 3.53/3.79 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1651, 11753, 9586])).
% 3.53/3.79 tff(11755,plain,
% 3.53/3.79 (~r(s(elem!1), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11682, 11754, 11622, 6584, 165])).
% 3.53/3.79 tff(11756,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11755, 11745])).
% 3.53/3.79 tff(11757,plain,((~b(s(elem!1), z)) | (~(s(z) = elem!1)) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (s(s(s(elem!1))) = s(elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11758,plain,
% 3.53/3.79 (~b(s(elem!1), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11757, 10424, 11715, 165, 11713, 11707, 10422, 11543, 10433, 10423, 218, 11535, 10432])).
% 3.53/3.79 tff(11759,plain,
% 3.53/3.79 (r(s(elem!1), z)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1812, 11758])).
% 3.53/3.79 tff(11760,plain,
% 3.53/3.79 (~r(s(elem!1), elem!1)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2764, 11759, 234])).
% 3.53/3.79 tff(11761,plain,
% 3.53/3.79 (~r(s(elem!1), s(z))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11760, 10427])).
% 3.53/3.79 tff(11762,plain,
% 3.53/3.79 (~r(s(elem!1), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1823, 11759, 165])).
% 3.53/3.79 tff(11763,plain,
% 3.53/3.79 (b(s(elem!1), s(s(elem!1)))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[3081, 11762, 6853])).
% 3.53/3.79 tff(11764,plain,
% 3.53/3.79 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11537, 3376])).
% 3.53/3.79 tff(11765,plain,
% 3.53/3.79 ((~(s(z) = s(s(s(elem!1))))) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11764])).
% 3.53/3.79 tff(11766,plain,
% 3.53/3.79 (~(elem!1 = s(s(s(elem!1))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[1263, 11765])).
% 3.53/3.79 tff(11767,plain,
% 3.53/3.79 (b(s(elem!1), elem!1)),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[312, 11760, 294])).
% 3.53/3.79 tff(11768,plain,
% 3.53/3.79 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1829, 11767, 165, 10688, 6853, 11535, 10432, 10422])).
% 3.53/3.79 tff(11769,plain,
% 3.53/3.79 (r(s(s(s(elem!1))), s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[1971, 11768, 218])).
% 3.53/3.79 tff(11770,plain,
% 3.53/3.79 (~r(elem!1, s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11736, 11769, 10433, 11766, 2180, 10422, 10423])).
% 3.53/3.79 tff(11771,plain,
% 3.53/3.79 (b(elem!1, s(elem!1))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[252, 11770, 232])).
% 3.53/3.79 tff(11772,plain,
% 3.53/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.53/3.79 inference(rewrite,[status(thm)],[])).
% 3.53/3.79 tff(11773,plain,
% 3.53/3.79 (((~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.53/3.79 inference(rewrite,[status(thm)],[])).
% 3.53/3.79 tff(11774,plain,
% 3.53/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.53/3.79 inference(monotonicity,[status(thm)],[11773])).
% 3.53/3.79 tff(11775,plain,
% 3.53/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.53/3.79 inference(transitivity,[status(thm)],[11774, 11772])).
% 3.53/3.79 tff(11776,plain,
% 3.53/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))),
% 3.53/3.79 inference(quant_inst,[status(thm)],[])).
% 3.53/3.79 tff(11777,plain,
% 3.53/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.53/3.79 inference(modus_ponens,[status(thm)],[11776, 11775])).
% 3.53/3.79 tff(11778,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11777, 338, 1131, 1597, 315, 747, 1620, 3084])).
% 3.53/3.79 tff(11779,plain,((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.79 tff(11780,plain,
% 3.53/3.79 (~b(s(elem!1), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11779, 11771, 747, 11707, 10688, 11763])).
% 3.53/3.79 tff(11781,plain,
% 3.53/3.79 (r(s(elem!1), s(z))),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[2070, 11780, 10614])).
% 3.53/3.79 tff(11782,plain,
% 3.53/3.79 ($false),
% 3.53/3.79 inference(unit_resolution,[status(thm)],[11781, 11761])).
% 3.53/3.79 tff(11783,plain,(b(z, s(z)) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.53/3.80 tff(11784,plain,
% 3.53/3.80 (b(s(s(elem!1)), s(elem!1))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[11783, 10421, 175, 137, 164, 162, 10404, 10414, 10412])).
% 3.53/3.80 tff(11785,plain,
% 3.53/3.80 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.53/3.80 inference(monotonicity,[status(thm)],[10417])).
% 3.53/3.80 tff(11786,plain,
% 3.53/3.80 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.53/3.80 inference(monotonicity,[status(thm)],[6968])).
% 3.53/3.80 tff(11787,plain,
% 3.53/3.80 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.53/3.80 inference(transitivity,[status(thm)],[11786, 11785])).
% 3.53/3.80 tff(11788,plain,
% 3.53/3.80 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[360, 177, 162, 137, 164])).
% 3.53/3.80 tff(11789,plain,
% 3.53/3.80 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[368, 11788, 62])).
% 3.53/3.80 tff(11790,plain,
% 3.53/3.80 (~r(z, s(s(s(s(z)))))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[379, 11789, 162])).
% 3.53/3.80 tff(11791,plain,
% 3.53/3.80 (b(z, s(s(s(s(z)))))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[391, 11790])).
% 3.53/3.80 tff(11792,plain,
% 3.53/3.80 (b(z, s(s(s(elem!1))))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[2141, 1413, 555])).
% 3.53/3.80 tff(11793,plain,
% 3.53/3.80 (b(s(s(s(elem!1))), z)),
% 3.53/3.80 inference(modus_ponens,[status(thm)],[175, 1379])).
% 3.53/3.80 tff(11794,plain,
% 3.53/3.80 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(elem!1))), elem!1)),
% 3.53/3.80 inference(transitivity,[status(thm)],[1435, 1437])).
% 3.53/3.80 tff(11795,plain,
% 3.53/3.80 (~b(s(s(s(s(z)))), s(z))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[11153, 651, 175, 1740, 555])).
% 3.53/3.80 tff(11796,plain,
% 3.53/3.80 (r(s(s(s(s(z)))), s(z))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[119, 11795])).
% 3.53/3.80 tff(11797,plain,
% 3.53/3.80 (r(s(s(s(elem!1))), elem!1)),
% 3.53/3.80 inference(modus_ponens,[status(thm)],[11796, 11794])).
% 3.53/3.80 tff(11798,plain,
% 3.53/3.80 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[2218, 11797, 234, 749, 1475, 11793, 11792])).
% 3.53/3.80 tff(11799,plain,
% 3.53/3.80 (b(s(z), z) <=> b(elem!1, z)),
% 3.53/3.80 inference(monotonicity,[status(thm)],[749])).
% 3.53/3.80 tff(11800,plain,
% 3.53/3.80 (b(elem!1, z)),
% 3.53/3.80 inference(modus_ponens,[status(thm)],[1740, 11799])).
% 3.53/3.80 tff(11801,plain,
% 3.53/3.80 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.53/3.80 inference(monotonicity,[status(thm)],[1350])).
% 3.53/3.80 tff(11802,plain,
% 3.53/3.80 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.53/3.80 inference(monotonicity,[status(thm)],[749])).
% 3.53/3.80 tff(11803,plain,
% 3.53/3.80 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.53/3.80 inference(transitivity,[status(thm)],[11802, 11801])).
% 3.53/3.80 tff(11804,plain,
% 3.53/3.80 (b(elem!1, s(s(s(elem!1))))),
% 3.53/3.80 inference(modus_ponens,[status(thm)],[651, 11803])).
% 3.53/3.80 tff(11805,plain,
% 3.53/3.80 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[6395, 1929, 763, 762, 6387])).
% 3.53/3.80 tff(11806,plain,
% 3.53/3.80 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.53/3.80 inference(unit_resolution,[status(thm)],[2619, 11805, 2614])).
% 3.53/3.80 tff(11807,plain,
% 3.53/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.53/3.80 inference(rewrite,[status(thm)],[])).
% 3.53/3.80 tff(11808,plain,
% 3.53/3.80 (((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.53/3.80 inference(rewrite,[status(thm)],[])).
% 3.53/3.80 tff(11809,plain,
% 3.53/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[11808])).
% 3.64/3.80 tff(11810,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.64/3.80 inference(transitivity,[status(thm)],[11809, 11807])).
% 3.64/3.80 tff(11811,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(11812,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[11811, 11810])).
% 3.64/3.80 tff(11813,plain,
% 3.64/3.80 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11812, 338, 1131, 763, 1595, 1929, 1621])).
% 3.64/3.80 tff(11814,plain,
% 3.64/3.80 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1724, 11813, 2266])).
% 3.64/3.80 tff(11815,plain,
% 3.64/3.80 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2275, 11814, 11806])).
% 3.64/3.80 tff(11816,plain,
% 3.64/3.80 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1562, 11815, 1475])).
% 3.64/3.80 tff(11817,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(11818,plain,
% 3.64/3.80 (((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(11819,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[11818])).
% 3.64/3.80 tff(11820,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.64/3.80 inference(transitivity,[status(thm)],[11819, 11817])).
% 3.64/3.80 tff(11821,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(11822,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[11821, 11820])).
% 3.64/3.80 tff(11823,plain,
% 3.64/3.80 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11822, 338, 1131, 763, 1595, 1929, 1621])).
% 3.64/3.80 tff(11824,plain,
% 3.64/3.80 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1651, 11823, 1496])).
% 3.64/3.80 tff(11825,plain,
% 3.64/3.80 (~r(s(s(s(s(elem!1)))), z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1662, 11824, 165])).
% 3.64/3.80 tff(11826,plain,
% 3.64/3.80 (b(s(s(s(s(elem!1)))), z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1638, 11825])).
% 3.64/3.80 tff(11827,plain,
% 3.64/3.80 (~r(z, s(s(s(s(elem!1)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1686, 11824, 165])).
% 3.64/3.80 tff(11828,plain,
% 3.64/3.80 (b(z, s(s(s(s(elem!1)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1698, 11827])).
% 3.64/3.80 tff(11829,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2216, 11828, 11826, 1595, 1596, 11816])).
% 3.64/3.80 tff(11830,plain,((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11831,plain,
% 3.64/3.80 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11830, 11804, 165, 1475, 11800, 2614, 1496, 763, 762, 11793, 11792, 6387])).
% 3.64/3.80 tff(11832,plain,
% 3.64/3.80 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1593, 11831, 749])).
% 3.64/3.80 tff(11833,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1585, 11832, 11798])).
% 3.64/3.80 tff(11834,plain,((~b(s(z), s(s(s(s(z)))))) | (~(s(z) = elem!1)) | (~r(z, elem!1)) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11835,plain,
% 3.64/3.80 (~b(s(z), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11834, 6968, 10404, 2181, 162, 7060, 2119, 10406, 10408, 10421, 175, 1740, 11791])).
% 3.64/3.80 tff(11836,plain,
% 3.64/3.80 (r(s(z), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[106, 11835])).
% 3.64/3.80 tff(11837,plain,
% 3.64/3.80 (r(elem!1, s(s(s(elem!1))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[11836, 11787])).
% 3.64/3.80 tff(11838,plain,
% 3.64/3.80 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2040, 11837, 11784, 10408, 294, 10406])).
% 3.64/3.80 tff(11839,plain,
% 3.64/3.80 (b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1515, 11838, 210])).
% 3.64/3.80 tff(11840,plain,
% 3.64/3.80 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1412, 6968])).
% 3.64/3.80 tff(11841,plain,
% 3.64/3.80 (b(z, s(s(s(elem!1))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2141, 11840, 11791])).
% 3.64/3.80 tff(11842,plain,
% 3.64/3.80 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 3.64/3.80 inference(monotonicity,[status(thm)],[10417])).
% 3.64/3.80 tff(11843,plain,
% 3.64/3.80 (b(s(s(s(elem!1))), z)),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[175, 11842])).
% 3.64/3.80 tff(11844,plain,
% 3.64/3.80 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[10417])).
% 3.64/3.80 tff(11845,plain,
% 3.64/3.80 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[11789, 11844])).
% 3.64/3.80 tff(11846,plain,
% 3.64/3.80 (~r(z, s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[348, 10404, 162, 137])).
% 3.64/3.80 tff(11847,plain,
% 3.64/3.80 (b(z, s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1615, 11846])).
% 3.64/3.80 tff(11848,plain,
% 3.64/3.80 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1605, 11839, 11841, 11847, 11843])).
% 3.64/3.80 tff(11849,plain,
% 3.64/3.80 (r(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1971, 11848, 218])).
% 3.64/3.80 tff(11850,plain,
% 3.64/3.80 (~r(elem!1, s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1966, 11849, 11837])).
% 3.64/3.80 tff(11851,plain,
% 3.64/3.80 (b(elem!1, s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[252, 11850, 232])).
% 3.64/3.80 tff(11852,plain,
% 3.64/3.80 (~b(s(elem!1), z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6306, 11851, 11847, 11845, 11843, 11841, 218, 11839, 10406])).
% 3.64/3.80 tff(11853,plain,
% 3.64/3.80 (r(s(elem!1), z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1812, 11852])).
% 3.64/3.80 tff(11854,plain,
% 3.64/3.80 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), elem!1)),
% 3.64/3.80 inference(monotonicity,[status(thm)],[6968])).
% 3.64/3.80 tff(11855,plain,
% 3.64/3.80 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(z))),
% 3.64/3.80 inference(symmetry,[status(thm)],[11854])).
% 3.64/3.80 tff(11856,plain,
% 3.64/3.80 (b(s(s(elem!1)), s(z))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[10406, 11855])).
% 3.64/3.80 tff(11857,plain,
% 3.64/3.80 (~(s(elem!1) = s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1912, 6967])).
% 3.64/3.80 tff(11858,plain,
% 3.64/3.80 (~(s(z) = s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1919, 11857])).
% 3.64/3.80 tff(11859,plain,
% 3.64/3.80 (r(s(z), s(s(s(elem!1)))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[6968])).
% 3.64/3.80 tff(11860,plain,
% 3.64/3.80 (r(elem!1, s(s(s(elem!1)))) <=> r(s(z), s(s(s(elem!1))))),
% 3.64/3.80 inference(symmetry,[status(thm)],[11859])).
% 3.64/3.80 tff(11861,plain,
% 3.64/3.80 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(s(elem!1))))),
% 3.64/3.80 inference(transitivity,[status(thm)],[11786, 11785, 11860])).
% 3.64/3.80 tff(11862,plain,
% 3.64/3.80 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[11836, 11861])).
% 3.64/3.80 tff(11863,plain,
% 3.64/3.80 (~r(s(z), s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6317, 11849, 11862])).
% 3.64/3.80 tff(11864,plain,
% 3.64/3.80 (b(s(z), s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[3066, 11863, 11858])).
% 3.64/3.80 tff(11865,plain,
% 3.64/3.80 (~b(s(elem!1), s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6597, 11864, 10414, 11856, 11784])).
% 3.64/3.80 tff(11866,plain,
% 3.64/3.80 (r(s(elem!1), s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[3081, 11865, 6853])).
% 3.64/3.80 tff(11867,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1823, 11866, 11853, 162])).
% 3.64/3.80 tff(11868,plain,(b(s(z), elem!1) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(z))))) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, elem!1) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11869,plain,
% 3.64/3.80 (b(s(z), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11868, 177, 6939, 137, 150, 140, 62, 175, 176])).
% 3.64/3.80 tff(11870,plain,
% 3.64/3.80 (~r(s(z), s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[10337, 177, 138, 129, 165, 1740, 175, 62, 137, 176])).
% 3.64/3.80 tff(11871,plain,
% 3.64/3.80 (b(s(z), s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[424, 11870])).
% 3.64/3.80 tff(11872,plain,
% 3.64/3.80 (~r(s(s(s(z))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[10400, 1740, 176, 175, 138, 165, 62, 137, 129])).
% 3.64/3.80 tff(11873,plain,
% 3.64/3.80 (b(s(s(s(z))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[437, 11872])).
% 3.64/3.80 tff(11874,plain,
% 3.64/3.80 (s(s(s(z))) = s(s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[10360, 393, 1740, 175, 165, 62, 137, 138, 129, 177, 176])).
% 3.64/3.80 tff(11875,plain,
% 3.64/3.80 (s(z) = elem!1),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1237, 11874])).
% 3.64/3.80 tff(11876,plain,
% 3.64/3.80 ((~b(s(s(s(z))), elem!1)) <=> (~b(s(s(s(z))), s(z)))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[1442])).
% 3.64/3.80 tff(11877,plain,
% 3.64/3.80 (~b(s(s(s(z))), s(z))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[1105, 11876])).
% 3.64/3.80 tff(11878,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[458, 11877])).
% 3.64/3.80 tff(11879,plain,((~(s(z) = elem!1)) | (~b(s(s(s(z))), s(z))) | b(s(s(s(z))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11880,plain,
% 3.64/3.80 (b(s(s(s(z))), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11879, 11875, 11873])).
% 3.64/3.80 tff(11881,plain,
% 3.64/3.80 (~b(elem!1, s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6908, 11880, 11873, 11871, 706])).
% 3.64/3.80 tff(11882,plain,
% 3.64/3.80 (elem!1 = s(z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[752, 11875])).
% 3.64/3.80 tff(11883,plain,
% 3.64/3.80 (~r(z, elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[899, 11882, 393])).
% 3.64/3.80 tff(11884,plain,
% 3.64/3.80 (z = elem!1),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[353, 11883, 177])).
% 3.64/3.80 tff(11885,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2787, 11884, 11881, 404])).
% 3.64/3.80 tff(11886,plain,(r(z, s(z)) | b(z, elem!1) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(s(z))))) | (elem!1 = s(s(elem!1))) | b(z, s(s(s(z)))) | b(s(s(s(z))), z) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11887,plain,
% 3.64/3.80 (r(z, s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11886, 177, 11869, 6939, 175, 162, 62, 137, 138, 129, 176])).
% 3.64/3.80 tff(11888,plain,
% 3.64/3.80 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1237, 691])).
% 3.64/3.80 tff(11889,plain,
% 3.64/3.80 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1207, 11888])).
% 3.64/3.80 tff(11890,plain,
% 3.64/3.80 (b(s(s(s(z))), s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6754, 11888, 6722])).
% 3.64/3.80 tff(11891,plain,
% 3.64/3.80 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6876, 11890, 458, 10446, 457])).
% 3.64/3.80 tff(11892,plain,
% 3.64/3.80 (r(s(s(elem!1)), s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6881, 11891, 11889])).
% 3.64/3.80 tff(11893,plain,
% 3.64/3.80 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(elem!1)), s(s(s(z))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[5753])).
% 3.64/3.80 tff(11894,plain,
% 3.64/3.80 (r(s(s(elem!1)), s(s(s(z)))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.80 inference(symmetry,[status(thm)],[11893])).
% 3.64/3.80 tff(11895,plain,
% 3.64/3.80 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[6890, 11894])).
% 3.64/3.80 tff(11896,plain,
% 3.64/3.80 (r(elem!1, s(s(s(z))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[164, 7345])).
% 3.64/3.80 tff(11897,plain,
% 3.64/3.80 (r(elem!1, s(s(s(elem!1))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[11896, 7347])).
% 3.64/3.80 tff(11898,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[7644, 11897, 2837, 11895])).
% 3.64/3.80 tff(11899,plain,((~(z = elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11900,plain,
% 3.64/3.80 (~(z = elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11899, 11892, 164, 165])).
% 3.64/3.80 tff(11901,plain,
% 3.64/3.80 (r(z, elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[353, 11900, 177])).
% 3.64/3.80 tff(11902,plain,
% 3.64/3.80 (~r(s(s(elem!1)), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[262, 11901, 165])).
% 3.64/3.80 tff(11903,plain,
% 3.64/3.80 (b(s(s(elem!1)), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[327, 11902, 197])).
% 3.64/3.80 tff(11904,plain,
% 3.64/3.80 (~r(elem!1, s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[287, 11901, 165])).
% 3.64/3.80 tff(11905,plain,
% 3.64/3.80 (b(elem!1, s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[321, 11904, 137])).
% 3.64/3.80 tff(11906,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[8275, 11905, 11903, 165, 1731, 691, 11901])).
% 3.64/3.80 tff(11907,plain,((s(z) = elem!1) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (elem!1 = s(s(elem!1))) | b(z, elem!1) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11908,plain,
% 3.64/3.80 (s(z) = elem!1),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11907, 11887, 162, 137, 177, 150, 10402, 10339])).
% 3.64/3.80 tff(11909,plain,
% 3.64/3.80 (s(s(s(z))) = s(s(elem!1))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[873, 11908])).
% 3.64/3.80 tff(11910,plain,
% 3.64/3.80 (~b(s(s(elem!1)), z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[881, 11909, 129])).
% 3.64/3.80 tff(11911,plain,
% 3.64/3.80 (~r(s(z), s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[4588, 11887, 162])).
% 3.64/3.80 tff(11912,plain,
% 3.64/3.80 (b(s(z), s(s(elem!1)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[743, 11911])).
% 3.64/3.80 tff(11913,plain,
% 3.64/3.80 (r(z, elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1733, 11908, 11887])).
% 3.64/3.80 tff(11914,plain,
% 3.64/3.80 (~r(s(s(elem!1)), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[262, 11913, 162])).
% 3.64/3.80 tff(11915,plain,
% 3.64/3.80 (b(s(s(elem!1)), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[327, 11914, 197])).
% 3.64/3.80 tff(11916,plain,
% 3.64/3.80 (~b(s(s(elem!1)), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6979, 11915, 162, 137, 177, 11869, 11912, 11910])).
% 3.64/3.80 tff(11917,plain,
% 3.64/3.80 (r(s(s(elem!1)), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[784, 11916])).
% 3.64/3.80 tff(11918,plain,
% 3.64/3.80 (~r(s(s(s(s(z)))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2354, 11917, 369])).
% 3.64/3.80 tff(11919,plain,
% 3.64/3.80 (b(s(s(s(s(z)))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[119, 11918])).
% 3.64/3.80 tff(11920,plain,
% 3.64/3.80 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6732, 11917, 369])).
% 3.64/3.80 tff(11921,plain,
% 3.64/3.80 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[106, 11920])).
% 3.64/3.80 tff(11922,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11153, 11921, 11919, 175, 6939, 392])).
% 3.64/3.80 tff(11923,plain,(b(z, elem!1) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(s(z)))) | r(s(z), elem!1) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11924,plain,
% 3.64/3.80 (b(z, elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11923, 176, 137, 129, 62, 138, 175, 140])).
% 3.64/3.80 tff(11925,plain,
% 3.64/3.80 (~(elem!1 = s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1046, 11924, 138])).
% 3.64/3.80 tff(11926,plain,
% 3.64/3.80 (~r(z, s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[919, 911, 164])).
% 3.64/3.80 tff(11927,plain,
% 3.64/3.80 (b(z, s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[391, 11926])).
% 3.64/3.80 tff(11928,plain,
% 3.64/3.80 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11205, 911, 406])).
% 3.64/3.80 tff(11929,plain,
% 3.64/3.80 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[106, 11928])).
% 3.64/3.80 tff(11930,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[3505, 11929, 11927, 175, 1740, 486])).
% 3.64/3.80 tff(11931,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11932,plain,
% 3.64/3.80 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11931, 406, 1740, 486, 175, 164])).
% 3.64/3.80 tff(11933,plain,
% 3.64/3.80 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[689, 11932])).
% 3.64/3.80 tff(11934,plain,
% 3.64/3.80 (~(s(z) = elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[10349, 11933, 62])).
% 3.64/3.80 tff(11935,plain,
% 3.64/3.80 (~(elem!1 = s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[696, 11934])).
% 3.64/3.80 tff(11936,plain,
% 3.64/3.80 (b(s(z), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[701, 11934, 176])).
% 3.64/3.80 tff(11937,plain,
% 3.64/3.80 (~b(s(s(s(s(z)))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[10378, 338, 1021, 11936, 486, 1740, 175])).
% 3.64/3.80 tff(11938,plain,
% 3.64/3.80 (r(s(s(s(s(z)))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[119, 11937])).
% 3.64/3.80 tff(11939,plain,
% 3.64/3.80 (~b(s(z), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[10369, 338, 1021, 11936, 486, 1740, 175])).
% 3.64/3.80 tff(11940,plain,
% 3.64/3.80 (r(s(z), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[106, 11939])).
% 3.64/3.80 tff(11941,plain,
% 3.64/3.80 (~(s(s(s(s(z)))) = elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1019, 11940, 176])).
% 3.64/3.80 tff(11942,plain,
% 3.64/3.80 (~b(elem!1, z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[7103, 11936, 1740, 1021, 486])).
% 3.64/3.80 tff(11943,plain,
% 3.64/3.80 (r(elem!1, z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[846, 11942, 1037])).
% 3.64/3.80 tff(11944,plain,
% 3.64/3.80 (~r(s(s(s(z))), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2394, 82, 11943, 426])).
% 3.64/3.80 tff(11945,plain,
% 3.64/3.80 (b(s(s(s(z))), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1110, 11944, 1057])).
% 3.64/3.80 tff(11946,plain,
% 3.64/3.80 (~r(elem!1, s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2377, 11943, 164])).
% 3.64/3.80 tff(11947,plain,
% 3.64/3.80 (b(elem!1, s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1160, 11946, 1050])).
% 3.64/3.80 tff(11948,plain,
% 3.64/3.80 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[3437, 11938, 406])).
% 3.64/3.80 tff(11949,plain,
% 3.64/3.80 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1011, 11948])).
% 3.64/3.80 tff(11950,plain,
% 3.64/3.80 (~b(s(s(s(s(z)))), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[2389, 11949, 11933, 11947, 11945])).
% 3.64/3.80 tff(11951,plain,
% 3.64/3.80 (r(s(s(s(s(z)))), elem!1)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1144, 11950, 11941])).
% 3.64/3.80 tff(11952,plain,
% 3.64/3.80 (~r(elem!1, s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1178, 11951, 11938])).
% 3.64/3.80 tff(11953,plain,
% 3.64/3.80 (b(elem!1, s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[819, 11952, 11935])).
% 3.64/3.80 tff(11954,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(11955,plain,
% 3.64/3.80 (((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z)))))) <=> ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(11956,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z)))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[11955])).
% 3.64/3.80 tff(11957,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.64/3.80 inference(transitivity,[status(thm)],[11956, 11954])).
% 3.64/3.80 tff(11958,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(11959,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z)))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[11958, 11957])).
% 3.64/3.80 tff(11960,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11959, 338, 1021, 11936, 1740, 458, 11947, 11953])).
% 3.64/3.80 tff(11961,plain,((~r(s(z), s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | r(s(z), elem!1) | (~r(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(s(z)))) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(11962,plain,
% 3.64/3.80 (~r(s(z), s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[11961, 486, 1740, 458, 176, 426, 1021, 175, 1050, 164, 62])).
% 3.64/3.80 tff(11963,plain,
% 3.64/3.80 (b(s(z), s(s(s(z))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[424, 11962])).
% 3.64/3.80 tff(11964,plain,
% 3.64/3.80 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[10349, 6968, 62])).
% 3.64/3.80 tff(11965,plain,
% 3.64/3.80 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[689, 11964])).
% 3.64/3.80 tff(11966,plain,
% 3.64/3.80 (~r(z, s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[919, 11965, 164])).
% 3.64/3.80 tff(11967,plain,
% 3.64/3.80 (b(z, s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[391, 11966])).
% 3.64/3.80 tff(11968,plain,
% 3.64/3.80 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 3.64/3.80 inference(monotonicity,[status(thm)],[6968])).
% 3.64/3.80 tff(11969,plain,
% 3.64/3.80 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(z))),
% 3.64/3.80 inference(symmetry,[status(thm)],[11968])).
% 3.64/3.80 tff(11970,plain,
% 3.64/3.80 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 3.64/3.80 inference(monotonicity,[status(thm)],[10417])).
% 3.64/3.80 tff(11971,plain,
% 3.64/3.80 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 3.64/3.80 inference(symmetry,[status(thm)],[11970])).
% 3.64/3.80 tff(11972,plain,
% 3.64/3.80 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), s(z))),
% 3.64/3.80 inference(transitivity,[status(thm)],[11971, 11969])).
% 3.64/3.80 tff(11973,plain,
% 3.64/3.80 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[6968])).
% 3.64/3.80 tff(11974,plain,
% 3.64/3.80 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 3.64/3.80 inference(transitivity,[status(thm)],[11973, 1254])).
% 3.64/3.81 tff(11975,plain,
% 3.64/3.81 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[11974])).
% 3.64/3.81 tff(11976,plain,
% 3.64/3.81 (~(s(s(s(elem!1))) = elem!1)),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[1263, 11975])).
% 3.64/3.81 tff(11977,plain,
% 3.64/3.81 (b(z, s(s(s(elem!1))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2141, 11967, 11840])).
% 3.64/3.81 tff(11978,plain,
% 3.64/3.81 (b(s(z), z) <=> b(elem!1, z)),
% 3.64/3.81 inference(monotonicity,[status(thm)],[6968])).
% 3.64/3.81 tff(11979,plain,
% 3.64/3.81 (b(elem!1, z)),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[1740, 11978])).
% 3.64/3.81 tff(11980,plain,
% 3.64/3.81 (~b(s(s(s(elem!1))), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3027, 11979, 1021, 11977, 11843])).
% 3.64/3.81 tff(11981,plain,
% 3.64/3.81 (r(s(s(s(elem!1))), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2162, 11980, 11976])).
% 3.64/3.81 tff(11982,plain,
% 3.64/3.81 (r(s(s(s(s(z)))), s(z))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[11981, 11972])).
% 3.64/3.81 tff(11983,plain,
% 3.64/3.81 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[536, 11982, 164, 458, 457, 486])).
% 3.64/3.81 tff(11984,plain,
% 3.64/3.81 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[68, 11983])).
% 3.64/3.81 tff(11985,plain,
% 3.64/3.81 (~r(s(s(z)), s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[572, 11984, 175, 11967, 164])).
% 3.64/3.81 tff(11986,plain,
% 3.64/3.81 (b(s(s(z)), s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[534, 11985])).
% 3.64/3.81 tff(11987,plain,
% 3.64/3.81 (b(s(elem!1), s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6759, 11986, 6968])).
% 3.64/3.81 tff(11988,plain,
% 3.64/3.81 (~b(s(z), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3505, 11967, 175, 1740, 486])).
% 3.64/3.81 tff(11989,plain,
% 3.64/3.81 (r(s(z), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[106, 11988])).
% 3.64/3.81 tff(11990,plain,
% 3.64/3.81 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2324, 11967, 140])).
% 3.64/3.81 tff(11991,plain,
% 3.64/3.81 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[368, 11990, 62])).
% 3.64/3.81 tff(11992,plain,
% 3.64/3.81 (~r(s(s(elem!1)), s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6732, 11991, 11989])).
% 3.64/3.81 tff(11993,plain,
% 3.64/3.81 (b(s(s(elem!1)), s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[784, 11992])).
% 3.64/3.81 tff(11994,plain,
% 3.64/3.81 (b(s(s(elem!1)), elem!1)),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[11993, 11854])).
% 3.64/3.81 tff(11995,plain,
% 3.64/3.81 (~(z = elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2752, 1037])).
% 3.64/3.81 tff(11996,plain,
% 3.64/3.81 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[10416])).
% 3.64/3.81 tff(11997,plain,
% 3.64/3.81 (b(s(z), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[6968])).
% 3.64/3.81 tff(11998,plain,
% 3.64/3.81 (b(elem!1, s(s(s(z))))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[457, 11997])).
% 3.64/3.81 tff(11999,plain,
% 3.64/3.81 (b(elem!1, s(s(elem!1)))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[11998, 11996])).
% 3.64/3.81 tff(12000,plain,
% 3.64/3.81 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1336, 11976])).
% 3.64/3.81 tff(12001,plain,
% 3.64/3.81 (r(elem!1, s(s(s(s(z))))) <=> r(s(z), s(s(s(elem!1))))),
% 3.64/3.81 inference(transitivity,[status(thm)],[11785, 11860])).
% 3.64/3.81 tff(12002,plain,
% 3.64/3.81 (r(elem!1, s(s(s(s(z)))))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[11989, 11786])).
% 3.64/3.81 tff(12003,plain,
% 3.64/3.81 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[12002, 12001])).
% 3.64/3.81 tff(12004,plain,
% 3.64/3.81 (~(s(elem!1) = s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1912, 11995])).
% 3.64/3.81 tff(12005,plain,
% 3.64/3.81 (~(s(z) = s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1919, 12004])).
% 3.64/3.81 tff(12006,plain,
% 3.64/3.81 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[11991, 11844])).
% 3.64/3.81 tff(12007,plain,
% 3.64/3.81 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[10417])).
% 3.64/3.81 tff(12008,plain,
% 3.64/3.81 ((~b(elem!1, s(s(s(s(z)))))) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[12007])).
% 3.64/3.81 tff(12009,plain,
% 3.64/3.81 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[6968])).
% 3.64/3.81 tff(12010,plain,
% 3.64/3.81 ((~b(s(z), s(s(s(s(z)))))) <=> (~b(elem!1, s(s(s(s(z))))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[12009])).
% 3.64/3.81 tff(12011,plain,
% 3.64/3.81 (~b(elem!1, s(s(s(s(z)))))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[11988, 12010])).
% 3.64/3.81 tff(12012,plain,
% 3.64/3.81 (~b(elem!1, s(s(s(elem!1))))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[12011, 12008])).
% 3.64/3.81 tff(12013,plain,
% 3.64/3.81 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2629, 2257, 264])).
% 3.64/3.81 tff(12014,plain,
% 3.64/3.81 (b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1515, 12013, 210])).
% 3.64/3.81 tff(12015,plain,
% 3.64/3.81 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6302, 2257, 264])).
% 3.64/3.81 tff(12016,plain,
% 3.64/3.81 (b(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1971, 12015, 218])).
% 3.64/3.81 tff(12017,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12018,plain,
% 3.64/3.81 (((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12019,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[12018])).
% 3.64/3.81 tff(12020,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)))),
% 3.64/3.81 inference(transitivity,[status(thm)],[12019, 12017])).
% 3.64/3.81 tff(12021,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(12022,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[12021, 12020])).
% 3.64/3.81 tff(12023,plain,
% 3.64/3.81 (~b(s(elem!1), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12022, 338, 12016, 1595, 6584, 12014])).
% 3.64/3.81 tff(12024,plain,
% 3.64/3.81 (r(s(elem!1), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1812, 12023])).
% 3.64/3.81 tff(12025,plain,
% 3.64/3.81 (~r(s(elem!1), s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1823, 12024, 165])).
% 3.64/3.81 tff(12026,plain,
% 3.64/3.81 (b(s(elem!1), s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3081, 12025, 1788])).
% 3.64/3.81 tff(12027,plain,
% 3.64/3.81 (~b(s(s(s(elem!1))), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1605, 12016, 6584, 1595, 12014])).
% 3.64/3.81 tff(12028,plain,
% 3.64/3.81 (r(s(s(s(elem!1))), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1387, 12027])).
% 3.64/3.81 tff(12029,plain,
% 3.64/3.81 (~r(s(s(elem!1)), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[8996, 12028, 2257])).
% 3.64/3.81 tff(12030,plain,
% 3.64/3.81 (b(s(s(elem!1)), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[800, 12029])).
% 3.64/3.81 tff(12031,plain,
% 3.64/3.81 (~b(s(s(elem!1)), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[7230, 12026, 6387, 1021, 12030, 12014])).
% 3.64/3.81 tff(12032,plain,
% 3.64/3.81 (r(s(s(elem!1)), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[327, 12031, 197])).
% 3.64/3.81 tff(12033,plain,
% 3.64/3.81 (~r(elem!1, s(s(s(elem!1))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6487, 12032, 2257])).
% 3.64/3.81 tff(12034,plain,
% 3.64/3.81 (elem!1 = s(s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1946, 12033, 1940])).
% 3.64/3.81 tff(12035,plain,
% 3.64/3.81 (s(s(s(elem!1))) = elem!1),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1924, 12034])).
% 3.64/3.81 tff(12036,plain,
% 3.64/3.81 (b(s(elem!1), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2676, 12035, 12014])).
% 3.64/3.81 tff(12037,plain,
% 3.64/3.81 (~r(elem!1, s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[7117, 12032, 264])).
% 3.64/3.81 tff(12038,plain,
% 3.64/3.81 (b(elem!1, s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[252, 12037, 246])).
% 3.64/3.81 tff(12039,plain,
% 3.64/3.81 (r(elem!1, z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3385, 12034, 12028])).
% 3.64/3.81 tff(12040,plain,
% 3.64/3.81 (~r(elem!1, s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1081, 12039, 165])).
% 3.64/3.81 tff(12041,plain,
% 3.64/3.81 (b(elem!1, s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[321, 12040, 137])).
% 3.64/3.81 tff(12042,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12043,plain,
% 3.64/3.81 (((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1)))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12044,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[12043])).
% 3.64/3.81 tff(12045,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.81 inference(transitivity,[status(thm)],[12044, 12042])).
% 3.64/3.81 tff(12046,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(12047,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[12046, 12045])).
% 3.64/3.81 tff(12048,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12047, 338, 1021, 12041, 6584, 12038, 12036, 12026])).
% 3.64/3.81 tff(12049,plain,((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, elem!1)) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | (elem!1 = s(elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12050,plain,
% 3.64/3.81 (~r(s(s(elem!1)), s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12049, 10421, 137, 162, 1021, 232, 11977, 12012, 6853, 12006])).
% 3.64/3.81 tff(12051,plain,
% 3.64/3.81 (b(s(s(elem!1)), s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[277, 12050, 225])).
% 3.64/3.81 tff(12052,plain,
% 3.64/3.81 (b(s(z), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[6968])).
% 3.64/3.81 tff(12053,plain,
% 3.64/3.81 (b(elem!1, s(s(elem!1))) <=> b(s(z), s(s(elem!1)))),
% 3.64/3.81 inference(symmetry,[status(thm)],[12052])).
% 3.64/3.81 tff(12054,plain,
% 3.64/3.81 (b(elem!1, s(s(s(z)))) <=> b(s(z), s(s(elem!1)))),
% 3.64/3.81 inference(transitivity,[status(thm)],[11996, 12053])).
% 3.64/3.81 tff(12055,plain,
% 3.64/3.81 (b(s(z), s(s(elem!1)))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[11998, 12054])).
% 3.64/3.81 tff(12056,plain,
% 3.64/3.81 (~b(s(z), s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6597, 11987, 12055, 11993, 12051])).
% 3.64/3.81 tff(12057,plain,
% 3.64/3.81 (r(s(z), s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3066, 12056, 12005])).
% 3.64/3.81 tff(12058,plain,
% 3.64/3.81 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6317, 12057, 12003])).
% 3.64/3.81 tff(12059,plain,
% 3.64/3.81 (b(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1971, 12058, 218])).
% 3.64/3.81 tff(12060,plain,
% 3.64/3.81 (~r(s(elem!1), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1780, 12059, 162, 12000, 6968, 232, 11999, 11995, 11994, 11843, 2181, 11981, 11987, 11977])).
% 3.64/3.81 tff(12061,plain,
% 3.64/3.81 (b(s(elem!1), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[312, 12060, 294])).
% 3.64/3.81 tff(12062,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12063,plain,
% 3.64/3.81 (((~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12064,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[12063])).
% 3.64/3.81 tff(12065,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.81 inference(transitivity,[status(thm)],[12064, 12062])).
% 3.64/3.81 tff(12066,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(12067,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[12066, 12065])).
% 3.64/3.81 tff(12068,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12067, 338, 12059, 11999, 10421, 12051, 12061, 11987])).
% 3.64/3.81 tff(12069,plain,(b(s(z), elem!1) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (elem!1 = s(s(elem!1))) | (~b(z, elem!1)) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(z), z)) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12070,plain,
% 3.64/3.81 (b(s(z), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12069, 11963, 164, 458, 175, 486, 137, 1021, 140, 62, 1740, 176])).
% 3.64/3.81 tff(12071,plain,
% 3.64/3.81 (~b(elem!1, z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[7103, 12070, 1740, 1021, 486])).
% 3.64/3.81 tff(12072,plain,
% 3.64/3.81 (r(elem!1, z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[846, 12071, 1037])).
% 3.64/3.81 tff(12073,plain,
% 3.64/3.81 (~r(s(s(s(z))), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2394, 82, 12072, 426])).
% 3.64/3.81 tff(12074,plain,
% 3.64/3.81 (b(s(s(s(z))), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1110, 12073, 1057])).
% 3.64/3.81 tff(12075,plain,
% 3.64/3.81 (~r(elem!1, s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2377, 12072, 164])).
% 3.64/3.81 tff(12076,plain,
% 3.64/3.81 (b(elem!1, s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1160, 12075, 1050])).
% 3.64/3.81 tff(12077,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2407, 338, 12070, 11963, 458, 12076, 12074])).
% 3.64/3.81 tff(12078,plain,((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (elem!1 = s(s(s(z)))) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12079,plain,
% 3.64/3.81 (~b(z, s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12078, 10402, 136, 11925, 150, 6939, 11924, 175, 137, 140, 62, 176])).
% 3.64/3.81 tff(12080,plain,
% 3.64/3.81 (~(s(z) = elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2343, 12079, 11924])).
% 3.64/3.81 tff(12081,plain,
% 3.64/3.81 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1237, 12080])).
% 3.64/3.81 tff(12082,plain,
% 3.64/3.81 (b(s(s(s(z))), s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6754, 12081, 174])).
% 3.64/3.81 tff(12083,plain,
% 3.64/3.81 (b(s(z), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[701, 12080, 176])).
% 3.64/3.81 tff(12084,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12085,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(12086,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[12085, 12084])).
% 3.64/3.81 tff(12087,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12086, 338, 1021, 706, 1740, 458, 764, 3254])).
% 3.64/3.81 tff(12088,plain,((~b(s(s(elem!1)), s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12089,plain,
% 3.64/3.81 (~b(s(s(elem!1)), s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12088, 11924, 12083, 6939, 10402, 12082])).
% 3.64/3.81 tff(12090,plain,
% 3.64/3.81 (r(s(s(elem!1)), s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[784, 12089])).
% 3.64/3.81 tff(12091,plain,
% 3.64/3.81 (r(z, s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[403, 12079])).
% 3.64/3.81 tff(12092,plain,
% 3.64/3.81 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12093,plain,
% 3.64/3.81 (((~r(s(s(elem!1)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(elem!1))))) <=> ((~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(12094,plain,
% 3.64/3.81 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z)))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[12093])).
% 3.64/3.81 tff(12095,plain,
% 3.64/3.81 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.64/3.81 inference(transitivity,[status(thm)],[12094, 12092])).
% 3.64/3.81 tff(12096,plain,
% 3.64/3.81 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(elem!1)))))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(12097,plain,
% 3.64/3.81 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(z)))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 3.64/3.81 tff(12098,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12097, 82, 162, 12091, 12090])).
% 3.64/3.81 tff(12099,plain,(r(s(z), elem!1) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(s(z)))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12100,plain,
% 3.64/3.81 (r(s(z), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12099, 140, 137, 128, 62, 138, 129])).
% 3.64/3.81 tff(12101,plain,
% 3.64/3.81 (~r(elem!1, z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[828, 405, 754])).
% 3.64/3.81 tff(12102,plain,
% 3.64/3.81 (~(s(z) = elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[867, 12101, 405])).
% 3.64/3.81 tff(12103,plain,
% 3.64/3.81 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1237, 12102])).
% 3.64/3.81 tff(12104,plain,
% 3.64/3.81 (b(s(s(s(z))), s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6754, 12103, 6722])).
% 3.64/3.81 tff(12105,plain,
% 3.64/3.81 (z = elem!1),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[353, 2604, 177])).
% 3.64/3.81 tff(12106,plain,
% 3.64/3.81 (~r(s(s(elem!1)), s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[11899, 12105, 164, 165])).
% 3.64/3.81 tff(12107,plain,
% 3.64/3.81 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1207, 12103])).
% 3.64/3.81 tff(12108,plain,
% 3.64/3.81 (b(s(s(elem!1)), s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6881, 12107, 12106])).
% 3.64/3.81 tff(12109,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6876, 12108, 12104, 542, 544, 744])).
% 3.64/3.81 tff(12110,plain,((~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))) | b(z, elem!1) | (~r(s(z), elem!1)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12111,plain,
% 3.64/3.81 (~r(s(z), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12110, 177, 162, 164, 754, 426])).
% 3.64/3.81 tff(12112,plain,
% 3.64/3.81 (b(s(z), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[26, 12111])).
% 3.64/3.81 tff(12113,plain,
% 3.64/3.81 (r(s(z), z) <=> r(s(z), elem!1)),
% 3.64/3.81 inference(monotonicity,[status(thm)],[703])).
% 3.64/3.81 tff(12114,plain,
% 3.64/3.81 (r(s(z), elem!1) <=> r(s(z), z)),
% 3.64/3.81 inference(symmetry,[status(thm)],[12113])).
% 3.64/3.81 tff(12115,plain,
% 3.64/3.81 (r(s(z), z)),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[754, 12114])).
% 3.64/3.81 tff(12116,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2, 12115])).
% 3.64/3.81 tff(12117,plain,((~(z = elem!1)) | r(s(z), z) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12118,plain,
% 3.64/3.81 (~(z = elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12117, 12111, 754])).
% 3.64/3.81 tff(12119,plain,
% 3.64/3.81 (r(z, elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[353, 12118, 177])).
% 3.64/3.81 tff(12120,plain,
% 3.64/3.81 (~r(z, s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3145, 12119, 754])).
% 3.64/3.81 tff(12121,plain,
% 3.64/3.81 (b(z, s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[403, 12120])).
% 3.64/3.81 tff(12122,plain,
% 3.64/3.81 (~b(s(z), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3505, 12121, 175, 11791, 12112])).
% 3.64/3.81 tff(12123,plain,
% 3.64/3.81 (r(s(z), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[106, 12122])).
% 3.64/3.81 tff(12124,plain,
% 3.64/3.81 (~r(s(s(s(s(z)))), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[2949, 12123, 754])).
% 3.64/3.81 tff(12125,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3160, 82, 234, 3125, 164])).
% 3.64/3.81 tff(12126,plain,((~r(s(s(s(z))), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12127,plain,
% 3.64/3.81 (~r(s(s(s(z))), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12126, 12119, 164])).
% 3.64/3.81 tff(12128,plain,
% 3.64/3.81 (~r(elem!1, s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3328, 12119, 164])).
% 3.64/3.81 tff(12129,plain,
% 3.64/3.81 (~r(s(s(elem!1)), s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6732, 12123, 11789])).
% 3.64/3.81 tff(12130,plain,
% 3.64/3.81 (b(s(s(elem!1)), s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[784, 12129])).
% 3.64/3.81 tff(12131,plain,
% 3.64/3.81 (~r(elem!1, s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[287, 12119, 162])).
% 3.64/3.81 tff(12132,plain,
% 3.64/3.81 (b(elem!1, s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[321, 12131, 137])).
% 3.64/3.81 tff(12133,plain,
% 3.64/3.81 (~r(s(s(elem!1)), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[262, 12119, 162])).
% 3.64/3.81 tff(12134,plain,
% 3.64/3.81 (b(s(s(elem!1)), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[327, 12133, 197])).
% 3.64/3.81 tff(12135,plain,
% 3.64/3.81 (~r(s(z), s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6953, 82, 12123, 11789])).
% 3.64/3.81 tff(12136,plain,
% 3.64/3.81 (b(s(z), s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[743, 12135])).
% 3.64/3.81 tff(12137,plain,
% 3.64/3.81 (~b(s(z), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[772, 12136, 12134, 12132, 12130])).
% 3.64/3.81 tff(12138,plain,
% 3.64/3.81 (~(elem!1 = s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[899, 12120, 12119])).
% 3.64/3.81 tff(12139,plain,
% 3.64/3.81 (~(s(z) = elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[752, 12138])).
% 3.64/3.81 tff(12140,plain,
% 3.64/3.81 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1237, 12139])).
% 3.64/3.81 tff(12141,plain,
% 3.64/3.81 (~r(s(s(s(z))), s(s(elem!1)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[173, 162, 164])).
% 3.64/3.81 tff(12142,plain,
% 3.64/3.81 (~b(s(s(elem!1)), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6963, 12136, 12112, 12121, 12130])).
% 3.64/3.81 tff(12143,plain,
% 3.64/3.81 (r(s(s(elem!1)), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[800, 12142])).
% 3.64/3.81 tff(12144,plain,
% 3.64/3.81 (~b(s(z), s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[10357, 12143, 426, 12141, 12140, 12136, 12130])).
% 3.64/3.81 tff(12145,plain,
% 3.64/3.81 (r(s(z), s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[424, 12144])).
% 3.64/3.81 tff(12146,plain,
% 3.64/3.81 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[11205, 12145, 12123])).
% 3.64/3.81 tff(12147,plain,
% 3.64/3.81 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[689, 12146])).
% 3.64/3.81 tff(12148,plain,
% 3.64/3.81 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[4106, 12145, 12123])).
% 3.64/3.81 tff(12149,plain,
% 3.64/3.81 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1011, 12148])).
% 3.64/3.81 tff(12150,plain,
% 3.64/3.81 (r(z, elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[353, 6967, 177])).
% 3.64/3.81 tff(12151,plain,
% 3.64/3.81 (r(z, s(s(s(s(z))))) <=> r(z, elem!1)),
% 3.64/3.81 inference(monotonicity,[status(thm)],[1013])).
% 3.64/3.81 tff(12152,plain,
% 3.64/3.81 (r(z, elem!1) <=> r(z, s(s(s(s(z)))))),
% 3.64/3.81 inference(symmetry,[status(thm)],[12151])).
% 3.64/3.81 tff(12153,plain,
% 3.64/3.81 (r(z, s(s(s(s(z)))))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[234, 12152])).
% 3.64/3.81 tff(12154,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[385, 12153])).
% 3.64/3.81 tff(12155,plain,((~(s(s(s(s(z)))) = elem!1)) | r(z, s(s(s(s(z))))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(12156,plain,
% 3.64/3.81 (~(s(s(s(s(z)))) = elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[12155, 12150, 385])).
% 3.64/3.81 tff(12157,plain,
% 3.64/3.81 (b(s(s(s(s(z)))), elem!1)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1144, 12156, 8418])).
% 3.64/3.81 tff(12158,plain,
% 3.64/3.81 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(elem!1))) = elem!1)),
% 3.64/3.82 inference(monotonicity,[status(thm)],[1053])).
% 3.64/3.82 tff(12159,plain,
% 3.64/3.82 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12158])).
% 3.64/3.82 tff(12160,plain,
% 3.64/3.82 (~(s(s(s(elem!1))) = elem!1)),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[3122, 12159])).
% 3.64/3.82 tff(12161,plain,
% 3.64/3.82 (s(s(s(s(z)))) = s(elem!1)),
% 3.64/3.82 inference(monotonicity,[status(thm)],[1053])).
% 3.64/3.82 tff(12162,plain,
% 3.64/3.82 (b(s(s(s(s(z)))), elem!1) <=> b(s(elem!1), elem!1)),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12161])).
% 3.64/3.82 tff(12163,plain,
% 3.64/3.82 (b(s(elem!1), elem!1)),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[1130, 12162])).
% 3.64/3.82 tff(12164,plain,
% 3.64/3.82 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(elem!1))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12161])).
% 3.64/3.82 tff(12165,plain,
% 3.64/3.82 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(elem!1)))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12164])).
% 3.64/3.82 tff(12166,plain,
% 3.64/3.82 (~b(s(s(elem!1)), s(elem!1))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[62, 12165])).
% 3.64/3.82 tff(12167,plain,
% 3.64/3.82 (~r(s(s(elem!1)), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[262, 234, 162])).
% 3.64/3.82 tff(12168,plain,
% 3.64/3.82 (b(s(s(elem!1)), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[327, 197, 12167])).
% 3.64/3.82 tff(12169,plain,
% 3.64/3.82 (~r(z, z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10535, 82, 162])).
% 3.64/3.82 tff(12170,plain,
% 3.64/3.82 (~(elem!1 = z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10543, 234, 12169])).
% 3.64/3.82 tff(12171,assumption,(~b(s(z), s(s(elem!1)))), introduced(assumption)).
% 3.64/3.82 tff(12172,plain,
% 3.64/3.82 (r(s(z), s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[743, 12171])).
% 3.64/3.82 tff(12173,assumption,(~b(s(s(s(s(z)))), z)), introduced(assumption)).
% 3.64/3.82 tff(12174,plain,
% 3.64/3.82 (r(s(s(s(s(z)))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[127, 12173])).
% 3.64/3.82 tff(12175,plain,
% 3.64/3.82 (~r(elem!1, s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[287, 234, 162])).
% 3.64/3.82 tff(12176,plain,
% 3.64/3.82 (b(elem!1, s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[321, 137, 12175])).
% 3.64/3.82 tff(12177,plain,
% 3.64/3.82 (~r(s(z), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[729, 12172, 162])).
% 3.64/3.82 tff(12178,plain,
% 3.64/3.82 (b(s(z), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[26, 12177])).
% 3.64/3.82 tff(12179,plain,
% 3.64/3.82 (~r(z, s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4588, 12172, 162])).
% 3.64/3.82 tff(12180,plain,
% 3.64/3.82 (b(z, s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[403, 12179])).
% 3.64/3.82 tff(12181,plain,
% 3.64/3.82 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10729, 72, 12180, 12178, 12174])).
% 3.64/3.82 tff(12182,plain,
% 3.64/3.82 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1011, 12181])).
% 3.64/3.82 tff(12183,plain,
% 3.64/3.82 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10701, 12182, 2605])).
% 3.64/3.82 tff(12184,plain,
% 3.64/3.82 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[11555, 12174, 165])).
% 3.64/3.82 tff(12185,plain,
% 3.64/3.82 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10478, 1267, 12184])).
% 3.64/3.82 tff(12186,plain,
% 3.64/3.82 (s(s(s(z))) = s(elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4794, 12185])).
% 3.64/3.82 tff(12187,plain,
% 3.64/3.82 (~(s(s(elem!1)) = s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5466, 12186])).
% 3.64/3.82 tff(12188,plain,
% 3.64/3.82 (r(s(s(elem!1)), s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[277, 12187, 2605])).
% 3.64/3.82 tff(12189,plain,
% 3.64/3.82 (~r(s(z), s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8352, 12188, 721])).
% 3.64/3.82 tff(12190,plain,
% 3.64/3.82 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10478, 12184, 1267])).
% 3.64/3.82 tff(12191,plain,
% 3.64/3.82 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12190])).
% 3.64/3.82 tff(12192,plain,
% 3.64/3.82 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 3.64/3.82 inference(symmetry,[status(thm)],[12191])).
% 3.64/3.82 tff(12193,plain,
% 3.64/3.82 (b(s(s(s(s(z)))), z)),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[878, 12192])).
% 3.64/3.82 tff(12194,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12173, 12193])).
% 3.64/3.82 tff(12195,plain,(b(s(s(s(s(z)))), z) | (~b(s(s(elem!1)), z)) | b(s(s(s(s(z)))), s(s(elem!1))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(12196,plain,
% 3.64/3.82 (~b(s(s(elem!1)), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12195, 1267, 12173, 165])).
% 3.64/3.82 tff(12197,plain,
% 3.64/3.82 (b(z, s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[403, 8355])).
% 3.64/3.82 tff(12198,plain,
% 3.64/3.82 (~r(z, s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[272, 12188, 165])).
% 3.64/3.82 tff(12199,plain,
% 3.64/3.82 (b(z, s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1615, 12198])).
% 3.64/3.82 tff(12200,plain,
% 3.64/3.82 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10460, 12186])).
% 3.64/3.82 tff(12201,plain,
% 3.64/3.82 (~(elem!1 = s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1418, 12200])).
% 3.64/3.82 tff(12202,plain,
% 3.64/3.82 (~(s(s(elem!1)) = elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[196, 12201])).
% 3.64/3.82 tff(12203,plain,
% 3.64/3.82 (b(s(s(elem!1)), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[327, 12202, 323])).
% 3.64/3.82 tff(12204,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10652, 12203, 12199, 12197, 12196, 7467, 12188, 12189])).
% 3.64/3.82 tff(12205,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | b(s(s(elem!1)), s(elem!1)) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(12206,plain,
% 3.64/3.82 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12205, 12172, 12167, 162, 2605, 12173])).
% 3.64/3.82 tff(12207,plain,
% 3.64/3.82 (~r(s(s(s(s(z)))), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5597, 12174, 234])).
% 3.64/3.82 tff(12208,plain,
% 3.64/3.82 (r(s(s(elem!1)), s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[277, 7154, 2605])).
% 3.64/3.82 tff(12209,plain,
% 3.64/3.82 (r(s(s(s(s(z)))), z) <=> r(elem!1, z)),
% 3.64/3.82 inference(monotonicity,[status(thm)],[1013])).
% 3.64/3.82 tff(12210,plain,
% 3.64/3.82 (r(elem!1, z)),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[12174, 12209])).
% 3.64/3.82 tff(12211,plain,
% 3.64/3.82 (~r(z, s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[272, 264, 162])).
% 3.64/3.82 tff(12212,plain,
% 3.64/3.82 (b(z, s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1615, 12211])).
% 3.64/3.82 tff(12213,plain,
% 3.64/3.82 (~(z = elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[2752, 12170])).
% 3.64/3.82 tff(12214,plain,
% 3.64/3.82 (~(s(elem!1) = s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1912, 12213])).
% 3.64/3.82 tff(12215,plain,
% 3.64/3.82 (~(s(z) = s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1919, 12214])).
% 3.64/3.82 tff(12216,plain,
% 3.64/3.82 (~r(s(z), s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8352, 264, 12172])).
% 3.64/3.82 tff(12217,plain,
% 3.64/3.82 (b(s(z), s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[3066, 12216, 12215])).
% 3.64/3.82 tff(12218,plain,
% 3.64/3.82 (~b(s(elem!1), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4302, 12217, 12180, 12212, 12178])).
% 3.64/3.82 tff(12219,plain,
% 3.64/3.82 (r(s(elem!1), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1812, 12218])).
% 3.64/3.82 tff(12220,plain,
% 3.64/3.82 (~(s(s(s(elem!1))) = elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8290, 12210, 162, 234, 762, 306, 7156, 12219, 8347, 763])).
% 3.64/3.82 tff(12221,plain,
% 3.64/3.82 (~r(s(s(s(elem!1))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[2177, 12220, 162, 763, 12210, 762, 234])).
% 3.64/3.82 tff(12222,plain,
% 3.64/3.82 (b(s(s(s(elem!1))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1387, 12221])).
% 3.64/3.82 tff(12223,plain,
% 3.64/3.82 (b(s(s(s(s(z)))), z) <=> b(elem!1, z)),
% 3.64/3.82 inference(monotonicity,[status(thm)],[1013])).
% 3.64/3.82 tff(12224,plain,
% 3.64/3.82 ((~b(s(s(s(s(z)))), z)) <=> (~b(elem!1, z))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12223])).
% 3.64/3.82 tff(12225,plain,
% 3.64/3.82 (~b(elem!1, z)),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[12173, 12224])).
% 3.64/3.82 tff(12226,plain,
% 3.64/3.82 (~r(z, s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[6377, 12220, 162, 234, 763, 12225, 12170, 762])).
% 3.64/3.82 tff(12227,plain,
% 3.64/3.82 (b(z, s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1373, 12226])).
% 3.64/3.82 tff(12228,plain,
% 3.64/3.82 (r(s(z), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1019, 1013, 72])).
% 3.64/3.82 tff(12229,plain,
% 3.64/3.82 (~r(s(elem!1), s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1823, 12219, 162])).
% 3.64/3.82 tff(12230,plain,
% 3.64/3.82 (b(s(elem!1), s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[3081, 12229, 10179])).
% 3.64/3.82 tff(12231,plain,
% 3.64/3.82 (~r(s(elem!1), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4304, 12217, 234, 12178, 12180])).
% 3.64/3.82 tff(12232,plain,
% 3.64/3.82 (b(s(elem!1), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[312, 12231, 306])).
% 3.64/3.82 tff(12233,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12234,plain,
% 3.64/3.82 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12235,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12234])).
% 3.64/3.82 tff(12236,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.82 inference(transitivity,[status(thm)],[12235, 12233])).
% 3.64/3.82 tff(12237,plain,
% 3.64/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(12238,plain,
% 3.64/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[12237, 12236])).
% 3.64/3.82 tff(12239,plain,
% 3.64/3.82 (~b(elem!1, s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12238, 338, 763, 762, 6387, 12232, 12230])).
% 3.64/3.82 tff(12240,plain,
% 3.64/3.82 (~(elem!1 = s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1924, 12220])).
% 3.64/3.82 tff(12241,plain,
% 3.64/3.82 (r(elem!1, s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1946, 12240, 12239])).
% 3.64/3.82 tff(12242,plain,
% 3.64/3.82 (~b(s(s(s(elem!1))), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[6708, 12241, 162, 234, 6387, 762, 12227, 306, 763, 215])).
% 3.64/3.82 tff(12243,plain,
% 3.64/3.82 (r(s(s(s(elem!1))), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[2162, 12242, 12220])).
% 3.64/3.82 tff(12244,plain,
% 3.64/3.82 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1280, 229])).
% 3.64/3.82 tff(12245,plain,
% 3.64/3.82 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[2611, 12244])).
% 3.64/3.82 tff(12246,plain,
% 3.64/3.82 (~(elem!1 = s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8982, 7053, 6387])).
% 3.64/3.82 tff(12247,plain,
% 3.64/3.82 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12049, 1940, 12246, 165, 1021, 1469, 264, 6387, 1787, 1595])).
% 3.64/3.82 tff(12248,plain,
% 3.64/3.82 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[2619, 12247, 12245])).
% 3.64/3.82 tff(12249,plain,
% 3.64/3.82 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1329, 12244])).
% 3.64/3.82 tff(12250,plain,
% 3.64/3.82 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12049, 1940, 137, 165, 1021, 1469, 264, 6387, 1787, 1595])).
% 3.64/3.82 tff(12251,plain,
% 3.64/3.82 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[2619, 12250, 12245])).
% 3.64/3.82 tff(12252,plain,
% 3.64/3.82 (r(elem!1, s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[252, 245, 1469])).
% 3.64/3.82 tff(12253,plain,
% 3.64/3.82 (~r(z, s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[272, 233, 264])).
% 3.64/3.82 tff(12254,plain,
% 3.64/3.82 (b(z, s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[161, 12253])).
% 3.64/3.82 tff(12255,plain,
% 3.64/3.82 (~r(s(s(elem!1)), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9003, 233, 264])).
% 3.64/3.82 tff(12256,plain,
% 3.64/3.82 (b(s(s(elem!1)), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[800, 12255])).
% 3.64/3.82 tff(12257,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12258,plain,
% 3.64/3.82 (((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12259,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12258])).
% 3.64/3.82 tff(12260,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[12259, 12257])).
% 3.64/3.82 tff(12261,plain,
% 3.64/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(12262,plain,
% 3.64/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 3.64/3.82 tff(12263,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12262, 338, 1595, 6387, 8722, 878, 6386])).
% 3.64/3.82 tff(12264,plain,((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(12265,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12264, 12256, 12254, 6386, 6387, 1595])).
% 3.64/3.82 tff(12266,plain,((~r(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(12267,plain,
% 3.64/3.82 (~r(z, s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12266, 6386, 6387, 1595, 264])).
% 3.64/3.82 tff(12268,plain,
% 3.64/3.82 (b(z, s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1615, 12267])).
% 3.64/3.82 tff(12269,plain,
% 3.64/3.82 (~(s(elem!1) = s(s(elem!1)))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[229, 7153])).
% 3.64/3.82 tff(12270,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12271,plain,
% 3.64/3.82 (((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12272,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12271])).
% 3.64/3.82 tff(12273,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[12272, 12270])).
% 3.64/3.82 tff(12274,plain,
% 3.64/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(12275,plain,
% 3.64/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[12274, 12273])).
% 3.64/3.82 tff(12276,plain,
% 3.64/3.82 (~b(s(elem!1), s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12275, 338, 1500, 1595, 1597, 1564, 6386])).
% 3.64/3.82 tff(12277,plain,
% 3.64/3.82 ((s(elem!1) = s(s(elem!1))) | r(s(elem!1), s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1827, 21, 12276])).
% 3.64/3.82 tff(12278,plain,
% 3.64/3.82 (r(s(elem!1), s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12277, 12269])).
% 3.64/3.82 tff(12279,plain,
% 3.64/3.82 (~b(s(elem!1), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12022, 338, 1500, 1595, 1597, 1564])).
% 3.64/3.82 tff(12280,plain,
% 3.64/3.82 (r(s(elem!1), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1810, 21, 736, 12279])).
% 3.64/3.82 tff(12281,plain,
% 3.64/3.82 (~r(s(s(elem!1)), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5958, 12280, 264])).
% 3.64/3.82 tff(12282,plain,
% 3.64/3.82 (b(s(s(elem!1)), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[800, 12281])).
% 3.64/3.82 tff(12283,plain,
% 3.64/3.82 (~b(z, s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12264, 12282, 6386, 6387, 1595])).
% 3.64/3.82 tff(12284,plain,
% 3.64/3.82 (r(z, s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[161, 12283])).
% 3.64/3.82 tff(12285,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1821, 82, 12280, 12284, 12278])).
% 3.64/3.82 tff(12286,plain,((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(elem!1)) = s(elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(12287,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12286, 7067, 7071, 6387, 1595, 264, 229, 6386, 12268])).
% 3.64/3.82 tff(12288,plain,((~r(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(elem!1)) = s(elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(12289,plain,
% 3.64/3.82 (~r(elem!1, s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12288, 12252, 264, 1595, 229, 12251, 210, 6387])).
% 3.64/3.82 tff(12290,plain,
% 3.64/3.82 (elem!1 = s(s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1946, 12289, 1940])).
% 3.64/3.82 tff(12291,plain,
% 3.64/3.82 (b(elem!1, z) <=> b(s(s(s(elem!1))), z)),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12290])).
% 3.64/3.82 tff(12292,plain,
% 3.64/3.82 (~r(s(s(elem!1)), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[7117, 12252, 264])).
% 3.64/3.82 tff(12293,plain,
% 3.64/3.82 (b(s(s(elem!1)), elem!1)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[327, 12292, 197])).
% 3.64/3.82 tff(12294,plain,
% 3.64/3.82 (~r(elem!1, s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[2715, 12252, 264])).
% 3.64/3.82 tff(12295,plain,
% 3.64/3.82 (b(elem!1, s(s(elem!1)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[321, 12294, 137])).
% 3.64/3.82 tff(12296,plain,
% 3.64/3.82 (s(s(s(elem!1))) = elem!1),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1924, 12290])).
% 3.64/3.82 tff(12297,plain,
% 3.64/3.82 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8390, 12296, 245])).
% 3.64/3.82 tff(12298,plain,
% 3.64/3.82 (r(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1971, 12297, 218])).
% 3.64/3.82 tff(12299,plain,
% 3.64/3.82 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[3723])).
% 3.64/3.82 tff(12300,plain,
% 3.64/3.82 (r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[2043, 12299])).
% 3.64/3.82 tff(12301,plain,
% 3.64/3.82 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[3723])).
% 3.64/3.82 tff(12302,plain,
% 3.64/3.82 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[1921])).
% 3.64/3.82 tff(12303,plain,
% 3.64/3.82 (b(s(elem!1), elem!1) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[12302, 12301])).
% 3.64/3.82 tff(12304,plain,
% 3.64/3.82 ((s(z) = elem!1) <=> (s(z) = s(s(s(elem!1))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[1921])).
% 3.64/3.82 tff(12305,plain,
% 3.64/3.82 ((s(z) = s(s(s(elem!1)))) <=> (s(z) = elem!1)),
% 3.64/3.82 inference(symmetry,[status(thm)],[12304])).
% 3.64/3.82 tff(12306,plain,
% 3.64/3.82 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(z))),
% 3.64/3.82 inference(transitivity,[status(thm)],[12305, 748])).
% 3.64/3.82 tff(12307,plain,
% 3.64/3.82 ((~(s(z) = s(s(s(elem!1))))) <=> (~(elem!1 = s(z)))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12306])).
% 3.64/3.82 tff(12308,plain,
% 3.64/3.82 (~(elem!1 = s(z))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[1263, 12307])).
% 3.64/3.82 tff(12309,plain,
% 3.64/3.82 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(z) = elem!1))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12305])).
% 3.64/3.82 tff(12310,plain,
% 3.64/3.82 (~(s(z) = elem!1)),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[1263, 12309])).
% 3.64/3.82 tff(12311,plain,
% 3.64/3.82 (~r(s(z), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[841, 10446, 763, 762, 12310, 12308, 5135])).
% 3.64/3.82 tff(12312,plain,
% 3.64/3.82 (b(s(z), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[26, 12311])).
% 3.64/3.82 tff(12313,plain,
% 3.64/3.82 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[3723])).
% 3.64/3.82 tff(12314,plain,
% 3.64/3.82 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[2676, 305, 9579])).
% 3.64/3.82 tff(12315,plain,
% 3.64/3.82 (r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1515, 12314, 215])).
% 3.64/3.82 tff(12316,plain,
% 3.64/3.82 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[12315, 12313])).
% 3.64/3.82 tff(12317,plain,
% 3.64/3.82 (~b(s(s(s(elem!1))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[3979, 3977, 1921])).
% 3.64/3.82 tff(12318,plain,
% 3.64/3.82 (r(s(s(s(elem!1))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1387, 12317])).
% 3.64/3.82 tff(12319,plain,
% 3.64/3.82 (~r(s(elem!1), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5187, 5135, 235])).
% 3.64/3.82 tff(12320,plain,
% 3.64/3.82 (b(s(elem!1), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1812, 12319])).
% 3.64/3.82 tff(12321,plain,
% 3.64/3.82 (~b(z, s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[10638, 12320, 763, 9579, 12310, 305, 762, 215, 306, 9076, 1740, 264, 6584])).
% 3.64/3.82 tff(12322,plain,
% 3.64/3.82 (r(z, s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[403, 12321])).
% 3.64/3.82 tff(12323,plain,
% 3.64/3.82 (~r(s(s(s(elem!1))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4573, 1731, 1301])).
% 3.64/3.82 tff(12324,plain,
% 3.64/3.82 (b(s(s(s(elem!1))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1990, 12323])).
% 3.64/3.82 tff(12325,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[7259, 10446, 12324, 6387, 6386, 1880])).
% 3.64/3.82 tff(12326,plain,((~r(z, s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(12327,plain,
% 3.64/3.82 (~b(s(z), s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12326, 12322, 6386, 165, 6387, 12318])).
% 3.64/3.82 tff(12328,plain,
% 3.64/3.82 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1870, 12327])).
% 3.64/3.82 tff(12329,plain,
% 3.64/3.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12330,plain,
% 3.64/3.82 (((~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z)))) <=> ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12331,plain,
% 3.64/3.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(elem!1)))))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[12330])).
% 3.64/3.82 tff(12332,plain,
% 3.64/3.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[12331, 12329])).
% 3.64/3.82 tff(12333,plain,
% 3.64/3.82 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(12334,plain,
% 3.64/3.82 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(z), s(s(s(elem!1)))))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[12333, 12332])).
% 3.64/3.82 tff(12335,plain,
% 3.64/3.82 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[12334, 82, 12328, 12316])).
% 3.64/3.82 tff(12336,plain,
% 3.64/3.82 (b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1585, 12335])).
% 3.64/3.82 tff(12337,plain,
% 3.64/3.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(12338,plain,
% 3.64/3.82 (((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), s(s(s(s(elem!1))))))) <=> ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12339,plain,
% 3.64/3.83 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1)))))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12338])).
% 3.64/3.83 tff(12340,plain,
% 3.64/3.83 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[12339, 12337])).
% 3.64/3.83 tff(12341,plain,
% 3.64/3.83 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(12342,plain,
% 3.64/3.83 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(z), s(s(s(elem!1)))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12341, 12340])).
% 3.64/3.83 tff(12343,plain,
% 3.64/3.83 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12342, 82, 12328, 12316])).
% 3.64/3.83 tff(12344,plain,
% 3.64/3.83 (b(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[2239, 12343])).
% 3.64/3.83 tff(12345,plain,
% 3.64/3.83 (b(s(s(s(s(elem!1)))), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4692, 12320, 1921])).
% 3.64/3.83 tff(12346,plain,
% 3.64/3.83 (b(z, s(s(s(s(elem!1)))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[6584, 9594])).
% 3.64/3.83 tff(12347,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9678, 338, 12346, 12345, 12344, 12336, 1740])).
% 3.64/3.83 tff(12348,plain,(b(elem!1, z) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | b(s(elem!1), elem!1) | (~b(elem!1, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(s(s(elem!1)), s(elem!1))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(elem!1, s(elem!1))) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(12349,plain,
% 3.64/3.83 (b(s(elem!1), elem!1)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12348, 12312, 6386, 165, 6387, 763, 3977, 762, 215, 306, 264, 1921, 235, 719])).
% 3.64/3.83 tff(12350,plain,
% 3.64/3.83 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12349, 12303])).
% 3.64/3.83 tff(12351,plain,
% 3.64/3.83 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(s(elem!1))))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[3724])).
% 3.64/3.83 tff(12352,plain,
% 3.64/3.83 (b(s(z), s(s(s(s(s(elem!1))))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[10446, 12351])).
% 3.64/3.83 tff(12353,plain,
% 3.64/3.83 (~r(s(s(s(elem!1))), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4573, 1731, 12318])).
% 3.64/3.83 tff(12354,plain,
% 3.64/3.83 (b(s(s(s(elem!1))), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1990, 12353])).
% 3.64/3.83 tff(12355,assumption,(b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))), introduced(assumption)).
% 3.64/3.83 tff(12356,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12357,plain,
% 3.64/3.83 (((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12358,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1)))))))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12357])).
% 3.64/3.83 tff(12359,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[12358, 12356])).
% 3.64/3.83 tff(12360,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(12361,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1)))))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12360, 12359])).
% 3.64/3.83 tff(12362,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12361, 338, 1595, 2208, 1700, 5431, 9795, 12355])).
% 3.64/3.83 tff(12363,plain,((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(12364,plain,
% 3.64/3.83 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12363, 12354, 12345, 1595, 12352, 9743])).
% 3.64/3.83 tff(12365,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12364, 12350])).
% 3.64/3.83 tff(12366,plain,((~r(z, s(z))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | b(elem!1, z) | (~b(elem!1, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(12367,plain,
% 3.64/3.83 (~r(z, s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12366, 3977, 1595, 6386, 165, 6387, 763, 1921, 762, 215, 306, 264, 235, 719])).
% 3.64/3.83 tff(12368,plain,
% 3.64/3.83 (b(z, s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[403, 12367])).
% 3.64/3.83 tff(12369,plain,
% 3.64/3.83 (~b(s(z), s(s(elem!1)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[841, 405, 763, 762, 691, 720, 802])).
% 3.64/3.83 tff(12370,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[743, 12369, 730])).
% 3.64/3.83 tff(12371,plain,((~r(s(z), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(z) = elem!1) | (elem!1 = s(z)) | (~r(elem!1, z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(12372,plain,
% 3.64/3.83 (~r(s(z), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12371, 5135, 762, 12310, 12308, 763, 165])).
% 3.64/3.83 tff(12373,plain,
% 3.64/3.83 (b(s(z), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[26, 12372])).
% 3.64/3.83 tff(12374,plain,
% 3.64/3.83 (~b(s(z), s(elem!1))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4302, 12373, 12320, 12368, 6584])).
% 3.64/3.83 tff(12375,plain,
% 3.64/3.83 (r(s(z), s(elem!1))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[3066, 12374, 9077])).
% 3.64/3.83 tff(12376,plain,
% 3.64/3.83 (~r(s(z), s(s(elem!1)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[8352, 12375, 264])).
% 3.64/3.83 tff(12377,plain,
% 3.64/3.83 (b(s(z), s(s(elem!1)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[743, 12376])).
% 3.64/3.83 tff(12378,plain,
% 3.64/3.83 (~r(s(z), s(s(s(elem!1))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[6317, 12375, 2043])).
% 3.64/3.83 tff(12379,plain,
% 3.64/3.83 (b(s(z), s(s(s(elem!1))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1870, 12378])).
% 3.64/3.83 tff(12380,plain,
% 3.64/3.83 (~b(s(s(s(elem!1))), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[7259, 12379, 6387, 6386, 12377])).
% 3.64/3.83 tff(12381,plain,
% 3.64/3.83 (r(s(s(s(elem!1))), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1990, 12380])).
% 3.64/3.83 tff(12382,plain,
% 3.64/3.83 (~b(s(elem!1), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4621, 12373, 12320, 6584, 12368])).
% 3.64/3.83 tff(12383,plain,
% 3.64/3.83 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4739, 12382, 9579])).
% 3.64/3.83 tff(12384,plain,
% 3.64/3.83 (r(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1585, 12383])).
% 3.64/3.83 tff(12385,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9723, 82, 12384, 12381, 12300])).
% 3.64/3.83 tff(12386,plain,(b(elem!1, z) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~(elem!1 = s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(elem!1, s(elem!1))) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(12387,plain,
% 3.64/3.83 (b(elem!1, z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12386, 12298, 12251, 6387, 264, 12295, 12293, 165, 1595, 12290, 210, 1474, 12252, 1037])).
% 3.64/3.83 tff(12388,plain,
% 3.64/3.83 (b(s(s(s(elem!1))), z)),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12387, 12291])).
% 3.64/3.83 tff(12389,plain,
% 3.64/3.83 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1562, 1556, 1475])).
% 3.64/3.83 tff(12390,plain,
% 3.64/3.83 (~b(s(s(s(s(elem!1)))), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[2216, 12389, 1595, 12346, 1596])).
% 3.64/3.83 tff(12391,plain,
% 3.64/3.83 (r(s(s(s(s(elem!1)))), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1638, 12390])).
% 3.64/3.83 tff(12392,plain,
% 3.64/3.83 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1662, 12391, 165])).
% 3.64/3.83 tff(12393,plain,
% 3.64/3.83 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1651, 12392, 8347])).
% 3.64/3.83 tff(12394,plain,
% 3.64/3.83 (b(s(elem!1), s(s(elem!1)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4697, 12393, 9579])).
% 3.64/3.83 tff(12395,plain,
% 3.64/3.83 (~b(s(elem!1), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4692, 12390, 1921])).
% 3.64/3.83 tff(12396,plain,
% 3.64/3.83 (r(s(elem!1), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1812, 12395])).
% 3.64/3.83 tff(12397,plain,
% 3.64/3.83 (~r(s(s(elem!1)), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[5958, 12396, 264])).
% 3.64/3.83 tff(12398,plain,
% 3.64/3.83 (b(s(s(elem!1)), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[800, 12397])).
% 3.64/3.83 tff(12399,plain,
% 3.64/3.83 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[7230, 12398, 6387, 1021, 763, 12394])).
% 3.64/3.83 tff(12400,plain,
% 3.64/3.83 (r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1515, 12399, 215])).
% 3.64/3.83 tff(12401,plain,
% 3.64/3.83 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12400, 12313])).
% 3.64/3.83 tff(12402,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1556, 12401])).
% 3.64/3.83 tff(12403,plain,(r(s(s(s(s(elem!1)))), s(s(s(elem!1)))) | (~(elem!1 = s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (s(s(s(s(elem!1)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(12404,plain,
% 3.64/3.83 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12403, 12290, 210, 6387, 1021, 12293, 264, 165, 1595, 12388, 12249])).
% 3.64/3.83 tff(12405,plain,
% 3.64/3.83 ((s(z) = elem!1) <=> (s(z) = s(s(s(elem!1))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12290])).
% 3.64/3.83 tff(12406,plain,
% 3.64/3.83 ((s(z) = s(s(s(elem!1)))) <=> (s(z) = elem!1)),
% 3.64/3.83 inference(symmetry,[status(thm)],[12405])).
% 3.64/3.83 tff(12407,plain,
% 3.64/3.83 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(z) = elem!1))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12406])).
% 3.64/3.83 tff(12408,plain,
% 3.64/3.83 (~(s(z) = elem!1)),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[1263, 12407])).
% 3.64/3.83 tff(12409,plain,
% 3.64/3.83 (s(elem!1) = s(s(s(s(elem!1))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12290])).
% 3.64/3.83 tff(12410,plain,
% 3.64/3.83 (b(z, s(elem!1)) <=> b(z, s(s(s(s(elem!1)))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12409])).
% 3.64/3.83 tff(12411,plain,
% 3.64/3.83 (b(z, s(s(s(s(elem!1)))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[6584, 12410])).
% 3.64/3.83 tff(12412,plain,
% 3.64/3.83 (b(s(s(elem!1)), z) <=> b(s(s(s(s(s(elem!1))))), z)),
% 3.64/3.83 inference(monotonicity,[status(thm)],[3724])).
% 3.64/3.83 tff(12413,plain,
% 3.64/3.83 (b(s(s(s(s(s(elem!1))))), z) <=> b(s(s(elem!1)), z)),
% 3.64/3.83 inference(symmetry,[status(thm)],[12412])).
% 3.64/3.83 tff(12414,plain,
% 3.64/3.83 ((~b(s(s(s(s(s(elem!1))))), z)) <=> (~b(s(s(elem!1)), z))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12413])).
% 3.64/3.83 tff(12415,plain,
% 3.64/3.83 (~r(elem!1, z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[841, 744, 763, 762, 12310, 12308, 405])).
% 3.64/3.83 tff(12416,plain,
% 3.64/3.83 (~r(s(s(s(elem!1))), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[3385, 12415, 1921])).
% 3.64/3.83 tff(12417,plain,
% 3.64/3.83 (b(s(s(s(elem!1))), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1387, 12416])).
% 3.64/3.83 tff(12418,plain,
% 3.64/3.83 (b(s(z), s(s(s(s(s(elem!1))))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[744, 12351])).
% 3.64/3.83 tff(12419,plain,
% 3.64/3.83 ((s(s(s(s(z)))) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = s(s(s(s(z)))))),
% 3.64/3.83 inference(commutativity,[status(thm)],[])).
% 3.64/3.83 tff(12420,plain,
% 3.64/3.83 (s(s(s(s(s(s(s(elem!1))))))) = s(s(s(s(elem!1))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[3726])).
% 3.64/3.83 tff(12421,plain,
% 3.64/3.83 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(z)))) = s(s(s(s(elem!1)))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12420])).
% 3.64/3.83 tff(12422,plain,
% 3.64/3.83 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(elem!1)))) = s(s(s(s(z)))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[12421, 12419])).
% 3.64/3.83 tff(12423,plain,
% 3.64/3.83 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(s(s(s(elem!1)))) = s(s(s(s(z))))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12422])).
% 3.64/3.83 tff(12424,plain,
% 3.64/3.83 (~(s(s(s(s(elem!1)))) = s(s(s(s(z)))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[3645, 12423])).
% 3.64/3.83 tff(12425,plain,
% 3.64/3.83 (~b(s(z), elem!1)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[772, 1250, 763, 762, 747])).
% 3.64/3.83 tff(12426,plain,
% 3.64/3.83 (r(s(z), elem!1)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[701, 12425, 12310])).
% 3.64/3.83 tff(12427,plain,
% 3.64/3.83 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[3045, 12426, 9579])).
% 3.64/3.83 tff(12428,plain,
% 3.64/3.83 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12334, 82, 12427, 1548])).
% 3.64/3.83 tff(12429,plain,
% 3.64/3.83 (b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1585, 12428])).
% 3.64/3.83 tff(12430,plain,
% 3.64/3.83 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12342, 82, 12427, 1548])).
% 3.64/3.83 tff(12431,plain,
% 3.64/3.83 (b(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[2239, 12430])).
% 3.64/3.83 tff(12432,plain,
% 3.64/3.83 (~r(s(elem!1), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[5958, 787, 264])).
% 3.64/3.83 tff(12433,plain,
% 3.64/3.83 (b(s(elem!1), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1812, 12432])).
% 3.64/3.83 tff(12434,plain,
% 3.64/3.83 (b(s(s(s(s(elem!1)))), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4692, 12433, 1921])).
% 3.64/3.83 tff(12435,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12436,plain,
% 3.64/3.83 (((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z)))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12437,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12436])).
% 3.64/3.83 tff(12438,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[12437, 12435])).
% 3.64/3.83 tff(12439,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(12440,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12439, 12438])).
% 3.64/3.83 tff(12441,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12440, 338, 1701, 1700, 7419, 1589, 486])).
% 3.64/3.83 tff(12442,plain,((~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(12443,plain,
% 3.64/3.83 (~b(z, s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12442, 12434, 1701, 12431, 12429])).
% 3.64/3.83 tff(12444,plain,
% 3.64/3.83 (r(z, s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[403, 12443])).
% 3.64/3.83 tff(12445,plain,
% 3.64/3.83 (~r(elem!1, z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[841, 747, 763, 762, 12310, 12308, 405])).
% 3.64/3.83 tff(12446,plain,
% 3.64/3.83 (b(elem!1, z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[846, 12445, 1037])).
% 3.64/3.83 tff(12447,assumption,(b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))), introduced(assumption)).
% 3.64/3.83 tff(12448,plain,
% 3.64/3.83 (b(s(z), s(s(s(s(s(elem!1))))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[747, 12351])).
% 3.64/3.83 tff(12449,plain,
% 3.64/3.83 (b(s(s(s(s(s(elem!1))))), s(z))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[764, 9779])).
% 3.64/3.83 tff(12450,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z)))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12451,plain,
% 3.64/3.83 (((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), z)) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z)))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12452,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), z)) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[12451])).
% 3.64/3.83 tff(12453,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), z)) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z)))),
% 3.64/3.83 inference(transitivity,[status(thm)],[12452, 12450])).
% 3.64/3.83 tff(12454,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), z)) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(12455,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 3.64/3.83 tff(12456,plain,
% 3.64/3.83 ((~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12455, 338, 1595, 9795])).
% 3.64/3.83 tff(12457,plain,
% 3.64/3.83 (~b(s(s(s(s(s(elem!1))))), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12456, 5431, 12447, 12355])).
% 3.64/3.83 tff(12458,plain,
% 3.64/3.83 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(elem!1))))) = z) | b(s(s(s(s(s(elem!1))))), z) | r(s(s(s(s(s(elem!1))))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(elem!1))))) = z) | b(s(s(s(s(s(elem!1))))), z) | r(s(s(s(s(s(elem!1))))), z))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12459,plain,
% 3.64/3.83 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(elem!1))))) = z) | b(s(s(s(s(s(elem!1))))), z) | r(s(s(s(s(s(elem!1))))), z))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(12460,plain,
% 3.64/3.83 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(elem!1))))) = z) | b(s(s(s(s(s(elem!1))))), z) | r(s(s(s(s(s(elem!1))))), z)),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12459, 12458])).
% 3.64/3.83 tff(12461,plain,
% 3.64/3.83 (r(s(s(s(s(s(elem!1))))), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12460, 21, 6089, 12457])).
% 3.64/3.83 tff(12462,plain,
% 3.64/3.83 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(elem!1))))), z)) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(elem!1))))), z)) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(12463,plain,
% 3.64/3.83 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(elem!1))))), z)) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(12464,plain,
% 3.64/3.83 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(elem!1))))), z)) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(z))))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[12463, 12462])).
% 3.64/3.83 tff(12465,plain,
% 3.64/3.83 (~r(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[12464, 82, 1122, 12461])).
% 3.64/3.83 tff(12466,plain,
% 3.64/3.83 ((s(s(s(s(s(elem!1))))) = s(s(s(s(z))))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[3725])).
% 3.64/3.83 tff(12467,plain,
% 3.64/3.83 ((s(s(s(s(s(elem!1))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 3.64/3.83 inference(transitivity,[status(thm)],[12466, 5931])).
% 3.64/3.84 tff(12468,assumption,(s(s(s(s(s(elem!1))))) = s(s(s(s(z))))), introduced(assumption)).
% 3.64/3.84 tff(12469,plain,
% 3.64/3.84 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12468, 12467])).
% 3.64/3.84 tff(12470,plain,
% 3.64/3.84 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[4794, 9989])).
% 3.64/3.84 tff(12471,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12470, 12469])).
% 3.64/3.84 tff(12472,plain,((~(s(s(s(s(s(elem!1))))) = s(s(s(s(z)))))) | (~(elem!1 = s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(12473,plain,
% 3.64/3.84 (~(s(s(s(s(s(elem!1))))) = s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12472, 1921])).
% 3.64/3.84 tff(12474,plain,
% 3.64/3.84 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(elem!1))))) = s(s(s(s(z))))) | b(s(s(s(s(s(elem!1))))), s(s(s(s(z))))) | r(s(s(s(s(s(elem!1))))), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(elem!1))))) = s(s(s(s(z))))) | b(s(s(s(s(s(elem!1))))), s(s(s(s(z))))) | r(s(s(s(s(s(elem!1))))), s(s(s(s(z))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12475,plain,
% 3.64/3.84 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(elem!1))))) = s(s(s(s(z))))) | b(s(s(s(s(s(elem!1))))), s(s(s(s(z))))) | r(s(s(s(s(s(elem!1))))), s(s(s(s(z))))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(12476,plain,
% 3.64/3.84 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(elem!1))))) = s(s(s(s(z))))) | b(s(s(s(s(s(elem!1))))), s(s(s(s(z))))) | r(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12475, 12474])).
% 3.64/3.84 tff(12477,plain,
% 3.64/3.84 (b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12476, 21, 12473, 12465])).
% 3.64/3.84 tff(12478,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12479,plain,
% 3.64/3.84 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12480,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z))))))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[12479])).
% 3.64/3.84 tff(12481,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(transitivity,[status(thm)],[12480, 12478])).
% 3.64/3.84 tff(12482,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(12483,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(z))))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 3.64/3.84 tff(12484,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12483, 338, 5431, 651, 9795, 12355, 12477, 12449])).
% 3.64/3.84 tff(12485,plain,((~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(elem!1)), s(z))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(12486,plain,
% 3.64/3.84 (~b(s(s(s(elem!1))), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12485, 11566, 9795, 12355, 764, 1921, 1122, 12447, 1595])).
% 3.64/3.84 tff(12487,plain,
% 3.64/3.84 (~b(elem!1, s(z))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12486, 9982])).
% 3.64/3.84 tff(12488,plain,
% 3.64/3.84 ((s(s(s(s(elem!1)))) = s(s(s(z)))) <=> (s(elem!1) = s(s(s(z))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[9576])).
% 3.64/3.84 tff(12489,plain,
% 3.64/3.84 ((s(s(s(s(elem!1)))) = s(s(s(z)))) <=> (s(s(s(z))) = s(elem!1))),
% 3.64/3.84 inference(transitivity,[status(thm)],[12488, 3686])).
% 3.64/3.84 tff(12490,plain,
% 3.64/3.84 ((s(s(s(z))) = s(elem!1)) <=> (s(s(s(s(elem!1)))) = s(s(s(z))))),
% 3.64/3.84 inference(symmetry,[status(thm)],[12489])).
% 3.64/3.84 tff(12491,plain,
% 3.64/3.84 ((~(s(s(s(z))) = s(elem!1))) <=> (~(s(s(s(s(elem!1)))) = s(s(s(z)))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[12490])).
% 3.64/3.84 tff(12492,plain,
% 3.64/3.84 (~(s(s(s(s(elem!1)))) = s(s(s(z))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[9989, 12491])).
% 3.64/3.84 tff(12493,plain,
% 3.64/3.84 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3121, 12004])).
% 3.64/3.84 tff(12494,plain,
% 3.64/3.84 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3303, 12493])).
% 3.64/3.84 tff(12495,plain,
% 3.64/3.84 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[1921])).
% 3.64/3.84 tff(12496,plain,
% 3.64/3.84 ((~b(s(s(s(z))), elem!1)) <=> (~b(s(s(s(z))), s(s(s(elem!1)))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[12495])).
% 3.64/3.84 tff(12497,plain,
% 3.64/3.84 (~(s(s(s(z))) = elem!1)),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12493, 9944])).
% 3.64/3.84 tff(12498,plain,
% 3.64/3.84 (~(elem!1 = s(s(s(z))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12493, 9976])).
% 3.64/3.84 tff(12499,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3128, 82, 754, 3125, 427])).
% 3.64/3.84 tff(12500,plain,((~r(s(s(s(z))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(12501,plain,
% 3.64/3.84 (~r(s(s(s(z))), elem!1)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12500, 427, 754])).
% 3.64/3.84 tff(12502,plain,
% 3.64/3.84 (b(s(s(s(z))), elem!1)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[1110, 12501, 1103])).
% 3.64/3.84 tff(12503,plain,
% 3.64/3.84 (~b(s(s(s(z))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[4998, 3712, 1021, 1131, 12502, 2892])).
% 3.64/3.84 tff(12504,plain,
% 3.64/3.84 (r(s(s(s(z))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[135, 12503])).
% 3.64/3.84 tff(12505,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[2898, 82, 1731, 427, 12504])).
% 3.64/3.84 tff(12506,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (elem!1 = s(s(s(z)))) | (s(s(s(z))) = elem!1) | (~r(elem!1, s(z))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(12507,plain,
% 3.64/3.84 (~r(s(s(s(z))), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12506, 1731, 1021, 12498, 1131, 12497, 803, 754])).
% 3.64/3.84 tff(12508,plain,
% 3.64/3.84 (b(s(s(s(z))), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[437, 12507])).
% 3.64/3.84 tff(12509,plain,
% 3.64/3.84 (~r(s(s(s(s(z)))), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[11560, 82, 405, 1122])).
% 3.64/3.84 tff(12510,plain,
% 3.64/3.84 (b(s(s(s(s(z)))), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[119, 12509])).
% 3.64/3.84 tff(12511,plain,
% 3.64/3.84 (~r(s(z), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[414, 164, 405])).
% 3.64/3.84 tff(12512,plain,
% 3.64/3.84 (b(s(z), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[424, 12511])).
% 3.64/3.84 tff(12513,plain,
% 3.64/3.84 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[1127, 164, 1122])).
% 3.64/3.84 tff(12514,plain,
% 3.64/3.84 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[1011, 12513])).
% 3.64/3.84 tff(12515,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[5079, 12514, 12512, 11566, 12510, 458])).
% 3.64/3.84 tff(12516,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(12517,plain,
% 3.64/3.84 (~r(z, s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12516, 12508, 1122, 405])).
% 3.64/3.84 tff(12518,plain,
% 3.64/3.84 (b(z, s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[149, 12517])).
% 3.64/3.84 tff(12519,plain,
% 3.64/3.84 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[5782, 539, 651, 458, 2911])).
% 3.64/3.84 tff(12520,plain,
% 3.64/3.84 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[1011, 12519])).
% 3.64/3.84 tff(12521,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12522,plain,
% 3.64/3.84 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12523,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[12522])).
% 3.64/3.84 tff(12524,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(transitivity,[status(thm)],[12523, 12521])).
% 3.64/3.84 tff(12525,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(12526,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12525, 12524])).
% 3.64/3.84 tff(12527,plain,
% 3.64/3.84 (~b(s(z), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12526, 338, 458, 651, 2911, 539])).
% 3.64/3.84 tff(12528,plain,
% 3.64/3.84 (r(s(z), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[424, 12527])).
% 3.64/3.84 tff(12529,plain,
% 3.64/3.84 (~r(s(s(z)), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3886, 12528, 2911, 12520])).
% 3.64/3.84 tff(12530,plain,
% 3.64/3.84 (b(s(s(z)), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[534, 12529])).
% 3.64/3.84 tff(12531,plain,
% 3.64/3.84 (~b(z, s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[4118, 338, 12530, 3348, 458, 2911, 539])).
% 3.64/3.84 tff(12532,plain,
% 3.64/3.84 (r(z, s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[563, 12531])).
% 3.64/3.84 tff(12533,plain,
% 3.64/3.84 (~r(s(z), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[2492, 12532, 1731])).
% 3.64/3.84 tff(12534,plain,
% 3.64/3.84 (b(s(z), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[455, 12533])).
% 3.64/3.84 tff(12535,plain,
% 3.64/3.84 (~r(s(s(z)), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[2514, 12532, 1731])).
% 3.64/3.84 tff(12536,plain,
% 3.64/3.84 (b(s(s(z)), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[472, 12535])).
% 3.64/3.84 tff(12537,plain,
% 3.64/3.84 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[2919, 12536, 12534, 2911, 651])).
% 3.64/3.84 tff(12538,plain,
% 3.64/3.84 (r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[68, 12537])).
% 3.64/3.84 tff(12539,plain,
% 3.64/3.84 (~r(s(s(z)), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3898, 12538, 1122])).
% 3.64/3.84 tff(12540,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12541,plain,
% 3.64/3.84 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12542,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[12541])).
% 3.64/3.84 tff(12543,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(transitivity,[status(thm)],[12542, 12540])).
% 3.64/3.84 tff(12544,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(12545,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12544, 12543])).
% 3.64/3.84 tff(12546,plain,
% 3.64/3.84 (~b(s(s(z)), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12545, 338, 12530, 3348, 458, 2911, 539])).
% 3.64/3.84 tff(12547,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[497, 21, 56, 12546, 12539])).
% 3.64/3.84 tff(12548,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(12549,plain,
% 3.64/3.84 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12548, 12518, 1122, 1731, 12508, 12510, 11566])).
% 3.64/3.84 tff(12550,plain,
% 3.64/3.84 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[689, 12549])).
% 3.64/3.84 tff(12551,plain,
% 3.64/3.84 (~r(s(s(s(z))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3603, 12550, 1122])).
% 3.64/3.84 tff(12552,plain,
% 3.64/3.84 (b(s(s(s(z))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[135, 12551])).
% 3.64/3.84 tff(12553,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12554,plain,
% 3.64/3.84 (((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12555,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[12554])).
% 3.64/3.84 tff(12556,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)))),
% 3.64/3.84 inference(transitivity,[status(thm)],[12555, 12553])).
% 3.64/3.84 tff(12557,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), elem!1)))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(12558,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12557, 12556])).
% 3.64/3.84 tff(12559,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12558, 338, 1021, 1131, 1741, 3348, 2380])).
% 3.64/3.84 tff(12560,plain,((~b(s(s(s(z))), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(12561,plain,
% 3.64/3.84 (~b(s(s(s(z))), elem!1)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12560, 12552, 1021, 12518, 1131])).
% 3.64/3.84 tff(12562,plain,
% 3.64/3.84 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12561, 12496])).
% 3.64/3.84 tff(12563,plain,
% 3.64/3.84 (r(s(s(s(z))), s(s(s(elem!1))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3782, 21, 12562, 12494])).
% 3.64/3.84 tff(12564,plain,
% 3.64/3.84 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12565,plain,
% 3.64/3.84 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(12566,plain,
% 3.64/3.84 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(z)))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12565, 12564])).
% 3.64/3.84 tff(12567,plain,
% 3.64/3.84 (~r(s(s(s(s(elem!1)))), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12566, 82, 1548, 12563])).
% 3.64/3.84 tff(12568,plain,
% 3.64/3.84 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(s(z)))) | b(s(s(s(s(elem!1)))), s(s(s(z)))) | r(s(s(s(s(elem!1)))), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(s(z)))) | b(s(s(s(s(elem!1)))), s(s(s(z)))) | r(s(s(s(s(elem!1)))), s(s(s(z)))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12569,plain,
% 3.64/3.84 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(s(z)))) | b(s(s(s(s(elem!1)))), s(s(s(z)))) | r(s(s(s(s(elem!1)))), s(s(s(z)))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(12570,plain,
% 3.64/3.84 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(s(z)))) | b(s(s(s(s(elem!1)))), s(s(s(z)))) | r(s(s(s(s(elem!1)))), s(s(s(z))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12569, 12568])).
% 3.64/3.84 tff(12571,plain,
% 3.64/3.84 ((s(s(s(s(elem!1)))) = s(s(s(z)))) | b(s(s(s(s(elem!1)))), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12570, 21, 12567])).
% 3.64/3.84 tff(12572,plain,
% 3.64/3.84 (b(s(s(s(s(elem!1)))), s(s(s(z))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12571, 12492])).
% 3.64/3.84 tff(12573,plain,
% 3.64/3.84 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12574,plain,
% 3.64/3.84 (((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1))))))) <=> ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12575,plain,
% 3.64/3.84 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(elem!1)))))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[12574])).
% 3.64/3.84 tff(12576,plain,
% 3.64/3.84 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.64/3.84 inference(transitivity,[status(thm)],[12575, 12573])).
% 3.64/3.84 tff(12577,plain,
% 3.64/3.84 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(12578,plain,
% 3.64/3.84 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(elem!1)))))) | (~r(s(s(s(z))), s(s(s(elem!1)))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 3.64/3.84 tff(12579,plain,
% 3.64/3.84 (~r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12578, 82, 1548, 12563])).
% 3.64/3.84 tff(12580,plain,
% 3.64/3.84 ((s(s(s(z))) = s(s(s(s(elem!1))))) | b(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10000, 21, 12579])).
% 3.64/3.84 tff(12581,plain,
% 3.64/3.84 (b(s(s(s(z))), s(s(s(s(elem!1)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12580, 9990])).
% 3.64/3.84 tff(12582,plain,
% 3.64/3.84 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3045, 754, 9579])).
% 3.64/3.84 tff(12583,plain,
% 3.64/3.84 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[12334, 82, 12582, 1548])).
% 3.64/3.84 tff(12584,plain,
% 3.64/3.84 (b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[1585, 12583])).
% 3.64/3.84 tff(12585,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(12586,plain,
% 3.64/3.84 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12587,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1))))))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[12586])).
% 3.64/3.85 tff(12588,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))))),
% 3.64/3.85 inference(transitivity,[status(thm)],[12587, 12585])).
% 3.64/3.85 tff(12589,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(12590,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(elem!1))))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12589, 12588])).
% 3.64/3.85 tff(12591,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12590, 338, 1701, 12584, 12552, 12508, 12581, 12572])).
% 3.64/3.85 tff(12592,plain,((~r(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(elem!1, s(z))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12593,plain,
% 3.64/3.85 (~r(elem!1, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12592, 1122, 1921, 1548, 1021, 1131, 1701, 405, 1731, 754])).
% 3.64/3.85 tff(12594,plain,
% 3.64/3.85 (b(elem!1, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[819, 12593, 12308])).
% 3.64/3.85 tff(12595,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12594, 12487])).
% 3.64/3.85 tff(12596,plain,((~r(s(s(s(s(z)))), z)) | (~(elem!1 = s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12597,plain,
% 3.64/3.85 (~r(s(s(s(s(z)))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12596, 1250, 12448, 12355, 1921, 12447, 1595, 1548, 1021, 12446, 1701, 405, 12444, 12426])).
% 3.64/3.85 tff(12598,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[127, 12597])).
% 3.64/3.85 tff(12599,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12600,plain,
% 3.64/3.85 (((~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12601,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1)))))))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[12600])).
% 3.64/3.85 tff(12602,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1))))))))),
% 3.64/3.85 inference(transitivity,[status(thm)],[12601, 12599])).
% 3.64/3.85 tff(12603,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(z))))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(12604,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(elem!1))))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(z), s(s(s(s(s(elem!1)))))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12603, 12602])).
% 3.64/3.85 tff(12605,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12604, 338, 5431, 9795, 12447, 12355, 12449])).
% 3.64/3.85 tff(12606,plain,((~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(elem!1)), s(z))) | (~(elem!1 = s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12607,plain,
% 3.64/3.85 (~b(s(s(s(elem!1))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12606, 1250, 12447, 12355, 12448, 1921])).
% 3.64/3.85 tff(12608,plain,
% 3.64/3.85 (~b(elem!1, s(z))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[1988, 9982])).
% 3.64/3.85 tff(12609,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[831, 12608])).
% 3.64/3.85 tff(12610,plain,(b(s(s(s(elem!1))), s(z)) | (~b(elem!1, s(z))) | (~(elem!1 = s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12611,plain,
% 3.64/3.85 (~b(elem!1, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12610, 12607, 1921])).
% 3.64/3.85 tff(12612,plain,
% 3.64/3.85 (r(elem!1, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[819, 12611, 12308])).
% 3.64/3.85 tff(12613,plain,
% 3.64/3.85 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[11465, 4949, 1731])).
% 3.64/3.85 tff(12614,plain,
% 3.64/3.85 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[106, 12613])).
% 3.64/3.85 tff(12615,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5037, 338, 1021, 5031, 12614, 5002, 1130, 175])).
% 3.64/3.85 tff(12616,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, z)) | (s(s(s(z))) = elem!1) | (elem!1 = s(s(s(z)))) | (~r(s(z), elem!1)) | (~r(z, s(z))) | (elem!1 = s(s(s(s(z))))) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12617,plain,
% 3.64/3.85 (~b(s(s(s(s(z)))), elem!1)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12616, 12612, 1021, 12446, 12497, 12498, 12426, 12444, 9953, 12598])).
% 3.64/3.85 tff(12618,plain,
% 3.64/3.85 (r(s(s(s(s(z)))), elem!1)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[1144, 12617, 3731])).
% 3.64/3.85 tff(12619,plain,
% 3.64/3.85 (r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12618, 3732])).
% 3.64/3.85 tff(12620,plain,
% 3.64/3.85 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12621,plain,
% 3.64/3.85 (((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12622,plain,
% 3.64/3.85 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[12621])).
% 3.64/3.85 tff(12623,plain,
% 3.64/3.85 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(transitivity,[status(thm)],[12622, 12620])).
% 3.64/3.85 tff(12624,plain,
% 3.64/3.85 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(12625,plain,
% 3.64/3.85 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12624, 12623])).
% 3.64/3.85 tff(12626,plain,
% 3.64/3.85 (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12625, 82, 1548, 12619])).
% 3.64/3.85 tff(12627,plain,
% 3.64/3.85 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(s(s(z))))) | b(s(s(s(s(elem!1)))), s(s(s(s(z))))) | r(s(s(s(s(elem!1)))), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(s(s(z))))) | b(s(s(s(s(elem!1)))), s(s(s(s(z))))) | r(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12628,plain,
% 3.64/3.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(s(s(z))))) | b(s(s(s(s(elem!1)))), s(s(s(s(z))))) | r(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(12629,plain,
% 3.64/3.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(s(s(z))))) | b(s(s(s(s(elem!1)))), s(s(s(s(z))))) | r(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12628, 12627])).
% 3.64/3.85 tff(12630,plain,
% 3.64/3.85 ((s(s(s(s(elem!1)))) = s(s(s(s(z))))) | b(s(s(s(s(elem!1)))), s(s(s(s(z))))) | r(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12629, 21])).
% 3.64/3.85 tff(12631,plain,
% 3.64/3.85 (b(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12630, 12626, 12424])).
% 3.64/3.85 tff(12632,plain,
% 3.64/3.85 (~b(s(s(s(s(z)))), elem!1)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[2367, 108, 1021, 1131, 1731])).
% 3.64/3.85 tff(12633,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[1144, 5486, 12632, 1039])).
% 3.64/3.85 tff(12634,plain,((~r(s(s(s(s(z)))), s(z))) | (s(s(s(s(z)))) = elem!1) | (~r(s(z), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12635,plain,
% 3.64/3.85 (~r(s(s(s(s(z)))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12634, 12426, 3731, 1021, 12446, 12444])).
% 3.64/3.85 tff(12636,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[119, 12635])).
% 3.64/3.85 tff(12637,plain,
% 3.64/3.85 (~r(s(s(s(elem!1))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[3385, 12445, 1921])).
% 3.64/3.85 tff(12638,plain,
% 3.64/3.85 (b(s(s(s(elem!1))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[1387, 12637])).
% 3.64/3.85 tff(12639,plain,
% 3.64/3.85 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[1921])).
% 3.64/3.85 tff(12640,plain,
% 3.64/3.85 (~r(elem!1, s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[3247, 72, 754])).
% 3.64/3.85 tff(12641,plain,
% 3.64/3.85 (b(elem!1, s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[1094, 12640, 9953])).
% 3.64/3.85 tff(12642,plain,
% 3.64/3.85 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12641, 12639])).
% 3.64/3.85 tff(12643,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[1921])).
% 3.64/3.85 tff(12644,plain,
% 3.64/3.85 (~r(s(s(s(s(z)))), elem!1)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[2949, 72, 754])).
% 3.64/3.85 tff(12645,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), elem!1)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[1144, 12644, 3731])).
% 3.64/3.85 tff(12646,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12645, 12643])).
% 3.64/3.85 tff(12647,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12648,plain,
% 3.64/3.85 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12649,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[12648])).
% 3.64/3.85 tff(12650,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(transitivity,[status(thm)],[12649, 12647])).
% 3.64/3.85 tff(12651,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(12652,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12651, 12650])).
% 3.64/3.85 tff(12653,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12652, 338, 1595, 1596, 175, 12646, 12642])).
% 3.64/3.85 tff(12654,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), z)) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12655,plain,
% 3.64/3.85 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12654, 12598, 12638, 1595, 1921, 12426])).
% 3.64/3.85 tff(12656,plain,
% 3.64/3.85 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[106, 12655])).
% 3.64/3.85 tff(12657,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12658,plain,
% 3.64/3.85 (((~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(12659,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[12658])).
% 3.64/3.85 tff(12660,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(transitivity,[status(thm)],[12659, 12657])).
% 3.64/3.85 tff(12661,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(12662,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[12661, 12660])).
% 3.64/3.85 tff(12663,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12662, 338, 12431, 12429, 12656, 12636, 12631])).
% 3.64/3.85 tff(12664,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~r(s(z), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12665,plain,
% 3.64/3.85 (~r(s(s(elem!1)), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12664, 9897, 1921, 1021, 1548, 9743, 1595, 12346, 405, 763, 762, 744, 264])).
% 3.64/3.85 tff(12666,plain,
% 3.64/3.85 (b(s(s(elem!1)), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[800, 12665])).
% 3.64/3.85 tff(12667,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[7143, 338, 1021, 763, 762, 878, 706, 747])).
% 3.64/3.85 tff(12668,plain,((~b(s(z), s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(12669,plain,
% 3.64/3.85 (~b(s(z), elem!1)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12668, 12666, 762, 763, 744, 1021])).
% 3.64/3.85 tff(12670,plain,
% 3.64/3.85 (r(s(z), elem!1)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[701, 12669, 12310])).
% 3.64/3.85 tff(12671,plain,
% 3.64/3.85 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[3045, 12670, 9579])).
% 3.64/3.85 tff(12672,plain,
% 3.64/3.85 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12334, 82, 12671, 1548])).
% 3.64/3.85 tff(12673,plain,
% 3.64/3.85 (b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[1585, 12672])).
% 3.64/3.85 tff(12674,plain,
% 3.64/3.85 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[12342, 82, 12671, 1548])).
% 3.64/3.85 tff(12675,plain,
% 3.64/3.85 (b(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[2239, 12674])).
% 3.64/3.86 tff(12676,plain,
% 3.64/3.86 (~b(s(s(s(s(elem!1)))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12442, 486, 1701, 7419, 1589])).
% 3.64/3.86 tff(12677,plain,
% 3.64/3.86 (r(s(s(s(s(elem!1)))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1638, 12676])).
% 3.64/3.86 tff(12678,plain,
% 3.64/3.86 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1662, 12677, 165])).
% 3.64/3.86 tff(12679,plain,
% 3.64/3.86 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1651, 12678, 1496])).
% 3.64/3.86 tff(12680,plain,
% 3.64/3.86 (b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12679, 9656])).
% 3.64/3.86 tff(12681,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(12682,plain,
% 3.64/3.86 (((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z)))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(12683,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12682])).
% 3.64/3.86 tff(12684,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[12683, 12681])).
% 3.64/3.86 tff(12685,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(12686,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1)))))))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12685, 12684])).
% 3.64/3.86 tff(12687,plain,
% 3.64/3.86 (~b(s(s(s(s(elem!1)))), s(s(s(s(s(elem!1))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12686, 338, 1701, 7419, 1589, 486, 9795])).
% 3.64/3.86 tff(12688,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12687, 12680])).
% 3.64/3.86 tff(12689,plain,((~b(z, s(z))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(s(elem!1))))))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(12690,plain,
% 3.64/3.86 (~b(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12689, 12675, 12346, 1921, 12673, 12418, 1496, 165])).
% 3.64/3.86 tff(12691,plain,
% 3.64/3.86 (r(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[403, 12690])).
% 3.64/3.86 tff(12692,plain,
% 3.64/3.86 (b(elem!1, z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[846, 12415, 1037])).
% 3.64/3.86 tff(12693,plain,
% 3.64/3.86 (~r(s(s(s(s(z)))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12592, 803, 1921, 1548, 1021, 1131, 1701, 405, 1731, 754])).
% 3.64/3.86 tff(12694,plain,
% 3.64/3.86 (b(s(s(s(s(z)))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[127, 12693])).
% 3.64/3.86 tff(12695,plain,
% 3.64/3.86 (~b(s(s(s(s(z)))), elem!1)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12616, 12694, 1021, 1131, 12497, 12498, 754, 1731, 9953, 803])).
% 3.64/3.86 tff(12696,plain,
% 3.64/3.86 (r(s(s(s(s(z)))), elem!1)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1144, 12695, 3731])).
% 3.64/3.86 tff(12697,plain,
% 3.64/3.86 (r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12696, 3732])).
% 3.64/3.86 tff(12698,plain,
% 3.64/3.86 (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12625, 82, 1548, 12697])).
% 3.64/3.86 tff(12699,plain,
% 3.64/3.86 (b(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12630, 12698, 12424])).
% 3.64/3.86 tff(12700,plain,
% 3.64/3.86 (~r(s(s(s(s(z)))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12634, 1731, 3731, 1021, 1131, 754])).
% 3.64/3.86 tff(12701,plain,
% 3.64/3.86 (b(s(s(s(s(z)))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[119, 12700])).
% 3.64/3.86 tff(12702,plain,
% 3.64/3.86 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12654, 12694, 1596, 1595, 1921, 754])).
% 3.64/3.86 tff(12703,plain,
% 3.64/3.86 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[106, 12702])).
% 3.64/3.86 tff(12704,plain,
% 3.64/3.86 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12342, 82, 12582, 1548])).
% 3.64/3.86 tff(12705,plain,
% 3.64/3.86 (b(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[2239, 12704])).
% 3.64/3.86 tff(12706,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12662, 338, 12705, 12584, 12703, 12701, 12699])).
% 3.64/3.86 tff(12707,plain,((~r(elem!1, s(z))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~r(s(z), elem!1)) | (~r(z, s(z))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(12708,plain,
% 3.64/3.86 (~r(elem!1, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12707, 12692, 1921, 1021, 1548, 12670, 12691, 12417, 1595, 12346, 405])).
% 3.64/3.86 tff(12709,plain,
% 3.64/3.86 (b(elem!1, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[819, 12708, 12308])).
% 3.64/3.86 tff(12710,plain,
% 3.64/3.86 (b(s(s(s(elem!1))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12610, 12709, 1921])).
% 3.64/3.86 tff(12711,plain,
% 3.64/3.86 ((~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(elem!1))))), z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12455, 338, 1595, 12418])).
% 3.64/3.86 tff(12712,plain,
% 3.64/3.86 (~b(s(s(s(s(s(elem!1))))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12711, 12710, 9897, 9743])).
% 3.64/3.86 tff(12713,plain,
% 3.64/3.86 (~b(s(s(elem!1)), z)),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12712, 12414])).
% 3.64/3.86 tff(12714,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12666, 12713])).
% 3.64/3.86 tff(12715,plain,((~r(s(z), z)) | (~(elem!1 = s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(12716,plain,
% 3.64/3.86 (~r(s(z), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12715, 12404, 1595, 1021, 12290, 2119, 165, 12295, 12293, 264, 6387, 12251])).
% 3.64/3.86 tff(12717,plain,
% 3.64/3.86 (b(s(z), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[26, 12716])).
% 3.64/3.86 tff(12718,plain,
% 3.64/3.86 (~b(s(z), elem!1)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[7103, 486, 1740, 1131, 1021])).
% 3.64/3.86 tff(12719,plain,
% 3.64/3.86 (r(s(z), elem!1)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[701, 12718, 691])).
% 3.64/3.86 tff(12720,plain,
% 3.64/3.86 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[3045, 12719, 2143])).
% 3.64/3.86 tff(12721,plain,
% 3.64/3.86 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12334, 82, 12720, 1548])).
% 3.64/3.86 tff(12722,plain,
% 3.64/3.86 (b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1585, 12721])).
% 3.64/3.86 tff(12723,plain,
% 3.64/3.86 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12342, 82, 12720, 1548])).
% 3.64/3.86 tff(12724,plain,
% 3.64/3.86 (b(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[2239, 12723])).
% 3.64/3.86 tff(12725,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(12726,plain,
% 3.64/3.86 (((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(12727,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12726])).
% 3.64/3.86 tff(12728,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[12727, 12725])).
% 3.64/3.86 tff(12729,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(12730,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12729, 12728])).
% 3.64/3.86 tff(12731,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12730, 338, 1701, 12724, 12722, 486, 1740])).
% 3.64/3.86 tff(12732,plain,((~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = elem!1)) | (s(z) = elem!1) | (~b(elem!1, z)) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(12733,plain,
% 3.64/3.86 (~b(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12732, 12717, 12411, 12387, 12296, 12408, 12404, 1021])).
% 3.64/3.86 tff(12734,plain,
% 3.64/3.86 (r(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[403, 12733])).
% 3.64/3.86 tff(12735,plain,
% 3.64/3.86 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12290])).
% 3.64/3.86 tff(12736,plain,
% 3.64/3.86 ((s(s(s(z))) = elem!1) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[12735, 9881])).
% 3.64/3.86 tff(12737,plain,
% 3.64/3.86 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 3.64/3.86 inference(symmetry,[status(thm)],[12736])).
% 3.64/3.86 tff(12738,plain,
% 3.64/3.86 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12737])).
% 3.64/3.86 tff(12739,plain,
% 3.64/3.86 (~(s(s(s(z))) = elem!1)),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12493, 12738])).
% 3.64/3.86 tff(12740,plain,
% 3.64/3.86 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1651, 8359, 8347])).
% 3.64/3.86 tff(12741,plain,
% 3.64/3.86 (b(s(elem!1), s(s(elem!1)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[4697, 12740, 9579])).
% 3.64/3.86 tff(12742,plain,
% 3.64/3.86 (b(s(z), s(elem!1))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[3066, 9695, 12005])).
% 3.64/3.86 tff(12743,plain,
% 3.64/3.86 (~b(s(elem!1), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[4302, 12742, 1740, 12197, 6584])).
% 3.64/3.86 tff(12744,plain,
% 3.64/3.86 (r(s(elem!1), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1812, 12743])).
% 3.64/3.86 tff(12745,plain,
% 3.64/3.86 (~r(s(s(elem!1)), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[5958, 12744, 264])).
% 3.64/3.86 tff(12746,plain,
% 3.64/3.86 (b(s(s(elem!1)), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[800, 12745])).
% 3.64/3.86 tff(12747,plain,
% 3.64/3.86 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[7230, 12746, 6387, 1021, 763, 12741])).
% 3.64/3.86 tff(12748,plain,
% 3.64/3.86 (r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1515, 12747, 215])).
% 3.64/3.86 tff(12749,plain,
% 3.64/3.86 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12748, 12313])).
% 3.64/3.86 tff(12750,plain,
% 3.64/3.86 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12732, 12197, 12346, 1131, 9579, 12310, 1740, 1021])).
% 3.64/3.86 tff(12751,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12750, 12749])).
% 3.64/3.86 tff(12752,plain,((~r(s(z), s(s(elem!1)))) | (~(elem!1 = s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(12753,plain,
% 3.64/3.86 (~r(s(z), s(s(elem!1)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12752, 12717, 210, 6387, 1021, 12293, 264, 12290, 12387, 165])).
% 3.64/3.86 tff(12754,plain,
% 3.64/3.86 (b(s(z), s(s(elem!1)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[743, 12753])).
% 3.64/3.86 tff(12755,plain,
% 3.64/3.86 (~b(s(s(elem!1)), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12668, 706, 762, 763, 747, 1021])).
% 3.64/3.86 tff(12756,plain,
% 3.64/3.86 (~r(s(s(elem!1)), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[7135, 706, 762, 1740, 165, 763, 1021, 1131])).
% 3.64/3.86 tff(12757,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[800, 12756, 12755])).
% 3.64/3.86 tff(12758,plain,((~b(s(z), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~r(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(12759,plain,
% 3.64/3.86 (~b(s(z), elem!1)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12758, 12754, 12295, 165, 12293, 1021, 12387, 12717])).
% 3.64/3.86 tff(12760,plain,
% 3.64/3.86 (r(s(z), elem!1)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[701, 12759, 12408])).
% 3.64/3.86 tff(12761,plain,
% 3.64/3.86 (~b(s(s(s(z))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12560, 12502, 1021, 2892, 1131])).
% 3.64/3.86 tff(12762,plain,
% 3.64/3.86 (r(s(s(s(z))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[135, 12761])).
% 3.64/3.86 tff(12763,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[2898, 82, 1731, 427, 12762])).
% 3.64/3.86 tff(12764,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (s(s(s(z))) = elem!1) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(12765,plain,
% 3.64/3.86 (~r(s(s(s(z))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12764, 12760, 1021, 12387, 12739, 12734])).
% 3.64/3.86 tff(12766,plain,
% 3.64/3.86 (b(s(s(s(z))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[437, 12765])).
% 3.64/3.86 tff(12767,plain,
% 3.64/3.86 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[3045, 12760, 12296])).
% 3.64/3.86 tff(12768,plain,
% 3.64/3.86 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12334, 82, 12767, 12404])).
% 3.64/3.86 tff(12769,plain,
% 3.64/3.86 (b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1585, 12768])).
% 3.64/3.86 tff(12770,plain,
% 3.64/3.86 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12342, 82, 12767, 12404])).
% 3.64/3.86 tff(12771,plain,
% 3.64/3.86 (b(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[2239, 12770])).
% 3.64/3.86 tff(12772,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(12773,plain,
% 3.64/3.86 (((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(z)))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(12774,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12773])).
% 3.64/3.86 tff(12775,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[12774, 12772])).
% 3.64/3.86 tff(12776,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(12777,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1))))))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12776, 12775])).
% 3.64/3.86 tff(12778,plain,
% 3.64/3.86 (~b(s(s(s(s(elem!1)))), s(s(s(z))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12777, 338, 12411, 12771, 12769, 12717, 12766])).
% 3.64/3.86 tff(12779,assumption,(s(s(s(s(elem!1)))) = s(s(s(z)))), introduced(assumption)).
% 3.64/3.86 tff(12780,plain,
% 3.64/3.86 (s(s(s(z))) = s(s(s(s(elem!1))))),
% 3.64/3.86 inference(symmetry,[status(thm)],[12779])).
% 3.64/3.86 tff(12781,plain,
% 3.64/3.86 (s(s(s(z))) = s(elem!1)),
% 3.64/3.86 inference(transitivity,[status(thm)],[12780, 9576])).
% 3.64/3.86 tff(12782,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9989, 12781])).
% 3.64/3.86 tff(12783,plain,((~(s(s(s(s(elem!1)))) = s(s(s(z))))) | (~(elem!1 = s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(12784,plain,
% 3.64/3.86 (~(s(s(s(s(elem!1)))) = s(s(s(z))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12783, 12290])).
% 3.64/3.86 tff(12785,plain,
% 3.64/3.86 (r(s(s(s(s(elem!1)))), s(s(s(z))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12570, 21, 12784, 12778])).
% 3.64/3.86 tff(12786,plain,
% 3.64/3.86 (s(s(elem!1)) = s(s(s(s(s(elem!1)))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12409])).
% 3.64/3.86 tff(12787,plain,
% 3.64/3.86 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 3.64/3.86 inference(symmetry,[status(thm)],[12786])).
% 3.64/3.86 tff(12788,plain,
% 3.64/3.86 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12787])).
% 3.64/3.86 tff(12789,plain,
% 3.64/3.86 (s(s(s(s(s(s(s(elem!1))))))) = s(s(s(s(elem!1))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12788])).
% 3.64/3.86 tff(12790,plain,
% 3.64/3.86 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(z)))) = s(s(s(s(elem!1)))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12789])).
% 3.64/3.86 tff(12791,plain,
% 3.64/3.86 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(elem!1)))) = s(s(s(s(z)))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[12790, 12419])).
% 3.64/3.86 tff(12792,plain,
% 3.64/3.86 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(s(s(s(elem!1)))) = s(s(s(s(z))))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12791])).
% 3.64/3.86 tff(12793,plain,
% 3.64/3.86 (~(s(s(s(s(elem!1)))) = s(s(s(s(z)))))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[3645, 12792])).
% 3.64/3.86 tff(12794,plain,
% 3.64/3.86 ((elem!1 = s(s(s(s(z))))) <=> (s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12290])).
% 3.64/3.86 tff(12795,plain,
% 3.64/3.86 ((elem!1 = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[12794, 3719])).
% 3.64/3.86 tff(12796,plain,
% 3.64/3.86 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.64/3.86 inference(symmetry,[status(thm)],[12795])).
% 3.64/3.86 tff(12797,plain,
% 3.64/3.86 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12788])).
% 3.64/3.86 tff(12798,plain,
% 3.64/3.86 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[12797, 3719])).
% 3.64/3.86 tff(12799,plain,
% 3.64/3.86 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.64/3.86 inference(transitivity,[status(thm)],[12798, 12796, 1058])).
% 3.64/3.86 tff(12800,plain,
% 3.64/3.86 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12799])).
% 3.64/3.86 tff(12801,plain,
% 3.64/3.86 (~(s(s(s(s(z)))) = elem!1)),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[3187, 12800])).
% 3.64/3.86 tff(12802,plain,
% 3.64/3.86 (~r(s(s(s(s(z)))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12634, 12760, 12801, 1021, 12387, 12734])).
% 3.64/3.86 tff(12803,plain,
% 3.64/3.86 (b(s(s(s(s(z)))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[119, 12802])).
% 3.64/3.86 tff(12804,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(12805,plain,
% 3.64/3.86 (((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(12806,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[12805])).
% 3.64/3.86 tff(12807,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[12806, 12804])).
% 3.64/3.86 tff(12808,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(12809,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[12808, 12807])).
% 3.64/3.86 tff(12810,plain,
% 3.64/3.86 (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12809, 338, 12411, 12771, 12769, 12717, 12803])).
% 3.64/3.86 tff(12811,plain,
% 3.64/3.86 (r(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[12630, 12810, 12793])).
% 3.64/3.86 tff(12812,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12813,plain,
% 3.64/3.87 (((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12814,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12813])).
% 3.64/3.87 tff(12815,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(transitivity,[status(thm)],[12814, 12812])).
% 3.64/3.87 tff(12816,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(12817,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[12816, 12815])).
% 3.64/3.87 tff(12818,plain,
% 3.64/3.87 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12817, 338, 12411, 12771, 12717, 12766, 12803])).
% 3.64/3.87 tff(12819,plain,
% 3.64/3.87 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[689, 12818])).
% 3.64/3.87 tff(12820,plain,
% 3.64/3.87 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12821,plain,
% 3.64/3.87 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(z)))))) <=> ((~r(s(s(s(s(elem!1)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12822,plain,
% 3.64/3.87 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12821])).
% 3.64/3.87 tff(12823,plain,
% 3.64/3.87 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(transitivity,[status(thm)],[12822, 12820])).
% 3.64/3.87 tff(12824,plain,
% 3.64/3.87 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(12825,plain,
% 3.64/3.87 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 3.64/3.87 tff(12826,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12825, 82, 12819, 12811, 12785])).
% 3.64/3.87 tff(12827,plain,(b(elem!1, s(elem!1)) | (~b(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(s(elem!1))))) | b(elem!1, s(s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (s(s(elem!1)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(12828,plain,
% 3.64/3.87 (b(elem!1, s(elem!1))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12827, 1940, 165, 6387, 264, 1595, 1021, 12246, 229])).
% 3.64/3.87 tff(12829,plain,
% 3.64/3.87 (r(elem!1, s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1946, 1939, 1940])).
% 3.64/3.87 tff(12830,plain,
% 3.64/3.87 (~(s(s(elem!1)) = elem!1)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[196, 12246])).
% 3.64/3.87 tff(12831,plain,
% 3.64/3.87 (~(s(elem!1) = s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[209, 12830])).
% 3.64/3.87 tff(12832,plain,
% 3.64/3.87 (~b(s(elem!1), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[7200, 1131, 1597, 1021, 315])).
% 3.64/3.87 tff(12833,plain,
% 3.64/3.87 (r(s(elem!1), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1812, 12832])).
% 3.64/3.87 tff(12834,plain,
% 3.64/3.87 (~r(s(elem!1), s(s(elem!1)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1823, 12833, 165])).
% 3.64/3.87 tff(12835,plain,
% 3.64/3.87 (b(s(elem!1), s(s(elem!1)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[3081, 12834, 1788])).
% 3.64/3.87 tff(12836,plain,
% 3.64/3.87 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10114, 1131, 1597, 10111, 1021, 246, 1950])).
% 3.64/3.87 tff(12837,plain,
% 3.64/3.87 (b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1515, 12836, 215])).
% 3.64/3.87 tff(12838,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[8912, 338, 1131, 1597, 12837, 315, 6386, 12835])).
% 3.64/3.87 tff(12839,plain,((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(z, elem!1)) | (elem!1 = s(elem!1)) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(12840,plain,
% 3.64/3.87 (~b(elem!1, z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12839, 12829, 315, 6386, 1788, 165, 12831, 1021, 246, 6584])).
% 3.64/3.87 tff(12841,plain,
% 3.64/3.87 (r(elem!1, z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[846, 12840, 1037])).
% 3.64/3.87 tff(12842,plain,
% 3.64/3.87 (~r(s(s(s(elem!1))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[2167, 12841, 12829])).
% 3.64/3.87 tff(12843,plain,
% 3.64/3.87 (b(s(s(s(elem!1))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1387, 12842])).
% 3.64/3.87 tff(12844,plain,
% 3.64/3.87 (r(s(s(s(elem!1))), elem!1)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[2162, 7561, 7053])).
% 3.64/3.87 tff(12845,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12846,plain,
% 3.64/3.87 (((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12847,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1)))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12846])).
% 3.64/3.87 tff(12848,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 3.64/3.87 inference(transitivity,[status(thm)],[12847, 12845])).
% 3.64/3.87 tff(12849,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(12850,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1)))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[12849, 12848])).
% 3.64/3.87 tff(12851,plain,
% 3.64/3.87 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12850, 338, 1021, 1596, 1597, 315, 1796])).
% 3.64/3.87 tff(12852,plain,
% 3.64/3.87 (r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1515, 12851, 215])).
% 3.64/3.87 tff(12853,plain,
% 3.64/3.87 (~r(s(elem!1), elem!1)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1510, 12852, 1269])).
% 3.64/3.87 tff(12854,plain,
% 3.64/3.87 (b(s(elem!1), elem!1)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[312, 12853, 306])).
% 3.64/3.87 tff(12855,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12856,plain,
% 3.64/3.87 (((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1))) <=> ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12857,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12856])).
% 3.64/3.87 tff(12858,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.87 inference(transitivity,[status(thm)],[12857, 12855])).
% 3.64/3.87 tff(12859,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(12860,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 3.64/3.87 tff(12861,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12860, 338, 1021, 1597, 315, 12854, 1796])).
% 3.64/3.87 tff(12862,plain,((~b(s(elem!1), z)) | (~b(z, elem!1)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (s(elem!1) = elem!1) | (~r(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(12863,plain,
% 3.64/3.87 (~b(s(elem!1), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12862, 12844, 6584, 315, 10111, 1021, 12831, 12843])).
% 3.64/3.87 tff(12864,plain,
% 3.64/3.87 (r(s(elem!1), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1812, 12863])).
% 3.64/3.87 tff(12865,plain,
% 3.64/3.87 (~r(s(elem!1), s(s(elem!1)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1823, 12864, 165])).
% 3.64/3.87 tff(12866,plain,
% 3.64/3.87 (b(s(elem!1), s(s(elem!1)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[3081, 12865, 1788])).
% 3.64/3.87 tff(12867,plain,
% 3.64/3.87 (~r(s(s(elem!1)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[5958, 12864, 264])).
% 3.64/3.87 tff(12868,plain,
% 3.64/3.87 (b(s(s(elem!1)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[800, 12867])).
% 3.64/3.87 tff(12869,plain,
% 3.64/3.87 (~r(s(s(elem!1)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[891, 802, 254])).
% 3.64/3.87 tff(12870,plain,
% 3.64/3.87 (b(s(s(elem!1)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[800, 12869])).
% 3.64/3.87 tff(12871,plain,
% 3.64/3.87 (~r(s(s(s(elem!1))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[2167, 802, 1950])).
% 3.64/3.87 tff(12872,plain,
% 3.64/3.87 (b(s(s(s(elem!1))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1387, 12871])).
% 3.64/3.87 tff(12873,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12874,plain,
% 3.64/3.87 (((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12875,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12874])).
% 3.64/3.87 tff(12876,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 3.64/3.87 inference(transitivity,[status(thm)],[12875, 12873])).
% 3.64/3.87 tff(12877,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(12878,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 3.64/3.87 tff(12879,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12878, 338, 1021, 12872, 1597, 315, 12870, 6386])).
% 3.64/3.87 tff(12880,plain,((~r(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(12881,plain,
% 3.64/3.87 (~r(s(s(elem!1)), elem!1)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12880, 12841, 6584, 315, 6386, 1021, 12829])).
% 3.64/3.87 tff(12882,plain,
% 3.64/3.87 (b(s(s(elem!1)), elem!1)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[327, 12881, 12830])).
% 3.64/3.87 tff(12883,plain,
% 3.64/3.87 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[7230, 12866, 6387, 1021, 12882, 12868])).
% 3.64/3.87 tff(12884,plain,
% 3.64/3.87 (r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1515, 12883, 12831])).
% 3.64/3.87 tff(12885,plain,
% 3.64/3.87 (~r(s(elem!1), elem!1)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1510, 12884, 12844])).
% 3.64/3.87 tff(12886,plain,
% 3.64/3.87 (b(s(elem!1), elem!1)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[312, 12885, 10111])).
% 3.64/3.87 tff(12887,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12888,plain,
% 3.64/3.87 (((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1))) <=> ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(12889,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12888])).
% 3.64/3.87 tff(12890,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.64/3.87 inference(transitivity,[status(thm)],[12889, 12887])).
% 3.64/3.87 tff(12891,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(12892,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 3.64/3.87 tff(12893,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12892, 338, 1021, 12882, 6584, 315, 12886, 12866])).
% 3.64/3.87 tff(12894,plain,((elem!1 = s(s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (elem!1 = s(elem!1)) | b(s(s(s(elem!1))), elem!1) | b(elem!1, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(12895,plain,
% 3.64/3.87 (elem!1 = s(s(s(elem!1)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12894, 12828, 1021, 6387, 1787, 264, 165, 12248, 1469, 7053, 1940])).
% 3.64/3.87 tff(12896,plain,
% 3.64/3.87 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12895])).
% 3.64/3.87 tff(12897,plain,
% 3.64/3.87 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), elem!1)),
% 3.64/3.87 inference(symmetry,[status(thm)],[12896])).
% 3.64/3.87 tff(12898,plain,
% 3.64/3.87 (b(s(s(elem!1)), elem!1)),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[12248, 12897])).
% 3.64/3.87 tff(12899,plain,
% 3.64/3.87 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12895])).
% 3.64/3.87 tff(12900,plain,
% 3.64/3.87 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 3.64/3.87 inference(symmetry,[status(thm)],[12899])).
% 3.64/3.87 tff(12901,plain,
% 3.64/3.87 (b(elem!1, s(s(elem!1)))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[6387, 12900])).
% 3.64/3.87 tff(12902,plain,
% 3.64/3.87 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[217, 12831])).
% 3.64/3.87 tff(12903,plain,
% 3.64/3.87 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1490, 12902])).
% 3.64/3.87 tff(12904,plain,
% 3.64/3.87 (s(elem!1) = s(s(s(s(elem!1))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12895])).
% 3.64/3.87 tff(12905,plain,
% 3.64/3.87 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[12904])).
% 3.64/3.87 tff(12906,plain,
% 3.64/3.87 (s(s(s(elem!1))) = elem!1),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1924, 12895])).
% 3.64/3.87 tff(12907,plain,
% 3.64/3.87 (b(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[8325, 12906, 12828])).
% 3.64/3.87 tff(12908,plain,
% 3.64/3.87 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[12286, 12907, 1595, 6387, 6584, 229, 264, 12248])).
% 3.64/3.88 tff(12909,plain,
% 3.64/3.88 (r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1515, 12908, 12831])).
% 3.64/3.88 tff(12910,plain,
% 3.64/3.88 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12909, 12905])).
% 3.64/3.88 tff(12911,plain,
% 3.64/3.88 (~r(s(z), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12715, 12910, 1595, 1021, 12895, 12903, 165, 12901, 12898, 264, 6387, 12248])).
% 3.64/3.88 tff(12912,plain,
% 3.64/3.88 (b(s(z), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[26, 12911])).
% 3.64/3.88 tff(12913,plain,
% 3.64/3.88 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12895])).
% 3.64/3.88 tff(12914,plain,
% 3.64/3.88 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(elem!1), elem!1)),
% 3.64/3.88 inference(symmetry,[status(thm)],[12913])).
% 3.64/3.88 tff(12915,plain,
% 3.64/3.88 ((~b(s(elem!1), s(s(s(elem!1))))) <=> (~b(s(elem!1), elem!1))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12914])).
% 3.64/3.88 tff(12916,plain,
% 3.64/3.88 (~b(s(elem!1), elem!1)),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12908, 12915])).
% 3.64/3.88 tff(12917,plain,
% 3.64/3.88 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12904])).
% 3.64/3.88 tff(12918,plain,
% 3.64/3.88 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12907, 12917])).
% 3.64/3.88 tff(12919,plain,
% 3.64/3.88 ((s(s(s(s(z)))) = s(s(s(s(s(elem!1)))))) <=> (s(s(s(s(s(elem!1))))) = s(s(s(s(z)))))),
% 3.64/3.88 inference(commutativity,[status(thm)],[])).
% 3.64/3.88 tff(12920,plain,
% 3.64/3.88 ((s(s(s(s(s(elem!1))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(s(s(elem!1))))))),
% 3.64/3.88 inference(symmetry,[status(thm)],[12919])).
% 3.64/3.88 tff(12921,plain,
% 3.64/3.88 ((~(s(s(s(s(s(elem!1))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = s(s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12920])).
% 3.64/3.88 tff(12922,plain,
% 3.64/3.88 (~(s(s(s(s(z)))) = s(s(s(s(s(elem!1))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12473, 12921])).
% 3.64/3.88 tff(12923,plain,
% 3.64/3.88 ((s(s(s(s(elem!1)))) = s(s(s(s(z))))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[9576])).
% 3.64/3.88 tff(12924,plain,
% 3.64/3.88 ((s(s(s(s(elem!1)))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 3.64/3.88 inference(transitivity,[status(thm)],[12923, 3629])).
% 3.64/3.88 tff(12925,plain,
% 3.64/3.88 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 3.64/3.88 inference(transitivity,[status(thm)],[12422, 12924])).
% 3.64/3.88 tff(12926,plain,
% 3.64/3.88 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12925])).
% 3.64/3.88 tff(12927,plain,
% 3.64/3.88 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[3645, 12926])).
% 3.64/3.88 tff(12928,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), s(s(s(s(elem!1))))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[9576])).
% 3.64/3.88 tff(12929,plain,
% 3.64/3.88 ((~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))) <=> (~b(s(s(s(s(z)))), s(elem!1)))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12928])).
% 3.64/3.88 tff(12930,plain,
% 3.64/3.88 (r(s(s(s(s(elem!1)))), z) <=> r(s(elem!1), z)),
% 3.64/3.88 inference(symmetry,[status(thm)],[9588])).
% 3.64/3.88 tff(12931,plain,
% 3.64/3.88 ((~r(s(s(s(s(elem!1)))), z)) <=> (~r(s(elem!1), z))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12930])).
% 3.64/3.88 tff(12932,plain,
% 3.64/3.88 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12933,plain,
% 3.64/3.88 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(12934,plain,
% 3.64/3.88 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12933, 12932])).
% 3.64/3.88 tff(12935,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12934, 82, 1301, 1654, 1548])).
% 3.64/3.88 tff(12936,plain,((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(12937,plain,
% 3.64/3.88 (~r(s(s(s(s(elem!1)))), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12936, 1301, 1548])).
% 3.64/3.88 tff(12938,plain,
% 3.64/3.88 (~r(s(elem!1), z)),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12937, 12931])).
% 3.64/3.88 tff(12939,plain,
% 3.64/3.88 (b(s(elem!1), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1812, 12938])).
% 3.64/3.88 tff(12940,plain,
% 3.64/3.88 (~b(z, s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10638, 12939, 9579, 9703, 12310, 305, 9706, 215, 306, 1917, 1740, 264, 6584])).
% 3.64/3.88 tff(12941,plain,
% 3.64/3.88 (r(z, s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[403, 12940])).
% 3.64/3.88 tff(12942,plain,
% 3.64/3.88 (~b(s(z), s(s(s(elem!1))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12326, 12941, 6386, 165, 6387, 1301])).
% 3.64/3.88 tff(12943,plain,
% 3.64/3.88 (~b(s(z), elem!1)),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12942, 10037])).
% 3.64/3.88 tff(12944,plain,
% 3.64/3.88 (r(s(z), elem!1)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[701, 12943, 12310])).
% 3.64/3.88 tff(12945,plain,
% 3.64/3.88 (~r(s(s(s(elem!1))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[4573, 12941, 1301])).
% 3.64/3.88 tff(12946,plain,
% 3.64/3.88 (b(s(s(s(elem!1))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1990, 12945])).
% 3.64/3.88 tff(12947,plain,
% 3.64/3.88 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1870, 12942])).
% 3.64/3.88 tff(12948,plain,
% 3.64/3.88 (~r(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12342, 82, 12947, 1548])).
% 3.64/3.88 tff(12949,plain,
% 3.64/3.88 (b(s(z), s(s(s(s(elem!1)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[2239, 12948])).
% 3.64/3.88 tff(12950,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), elem!1)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1144, 5486, 3731])).
% 3.64/3.88 tff(12951,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12950, 12643])).
% 3.64/3.88 tff(12952,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12953,plain,
% 3.64/3.88 (((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12954,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12953])).
% 3.64/3.88 tff(12955,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.64/3.88 inference(transitivity,[status(thm)],[12954, 12952])).
% 3.64/3.88 tff(12956,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(z)))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(12957,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12956, 12955])).
% 3.64/3.88 tff(12958,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12957, 338, 1595, 7419, 7528, 5431, 2360, 12951])).
% 3.64/3.88 tff(12959,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(z), elem!1)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(12960,plain,
% 3.64/3.88 (~r(s(s(s(s(z)))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12959, 12949, 1595, 7528, 12946, 1921, 12944, 12941])).
% 3.64/3.88 tff(12961,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[119, 12960])).
% 3.64/3.88 tff(12962,plain,
% 3.64/3.88 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12334, 82, 12947, 1548])).
% 3.64/3.88 tff(12963,plain,
% 3.64/3.88 (b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1585, 12962])).
% 3.64/3.88 tff(12964,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12965,plain,
% 3.64/3.88 (((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12966,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12965])).
% 3.64/3.88 tff(12967,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(transitivity,[status(thm)],[12966, 12964])).
% 3.64/3.88 tff(12968,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(12969,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12968, 12967])).
% 3.64/3.88 tff(12970,plain,
% 3.64/3.88 (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12969, 338, 12346, 12949, 12963, 1740, 12961])).
% 3.64/3.88 tff(12971,plain,
% 3.64/3.88 (~b(s(s(s(s(z)))), s(elem!1))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12970, 12929])).
% 3.64/3.88 tff(12972,plain,
% 3.64/3.88 (r(s(s(s(s(z)))), s(elem!1))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[4914, 12971, 12927])).
% 3.64/3.88 tff(12973,plain,
% 3.64/3.88 (r(s(s(s(s(z)))), s(s(s(s(elem!1)))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12972, 9950])).
% 3.64/3.88 tff(12974,plain,
% 3.64/3.88 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12975,plain,
% 3.64/3.88 (((~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12976,plain,
% 3.64/3.88 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12975])).
% 3.64/3.88 tff(12977,plain,
% 3.64/3.88 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(transitivity,[status(thm)],[12976, 12974])).
% 3.64/3.88 tff(12978,plain,
% 3.64/3.88 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(12979,plain,
% 3.64/3.88 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12978, 12977])).
% 3.64/3.88 tff(12980,plain,
% 3.64/3.88 ((~r(s(s(s(s(s(elem!1))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12979, 82, 12973])).
% 3.64/3.88 tff(12981,plain,
% 3.64/3.88 (~r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12980, 9785])).
% 3.64/3.88 tff(12982,plain,
% 3.64/3.88 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(elem!1)))))) | b(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))) | r(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(elem!1)))))) | b(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))) | r(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12983,plain,
% 3.64/3.88 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(elem!1)))))) | b(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))) | r(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(12984,plain,
% 3.64/3.88 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(elem!1)))))) | b(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))) | r(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12983, 12982])).
% 3.64/3.88 tff(12985,plain,
% 3.64/3.88 ((s(s(s(s(z)))) = s(s(s(s(s(elem!1)))))) | b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12984, 21, 12981])).
% 3.64/3.88 tff(12986,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12985, 12922])).
% 3.64/3.88 tff(12987,assumption,(r(s(s(s(s(z)))), s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.64/3.88 tff(12988,plain,
% 3.64/3.88 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12989,plain,
% 3.64/3.88 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(12990,plain,
% 3.64/3.88 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12989, 12988])).
% 3.64/3.88 tff(12991,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12990, 82, 1548, 10873, 12987])).
% 3.64/3.88 tff(12992,plain,((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(12993,plain,
% 3.64/3.88 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12992, 12973, 1548])).
% 3.64/3.88 tff(12994,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[3768, 12993, 3761])).
% 3.64/3.88 tff(12995,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12996,plain,
% 3.64/3.88 (((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(12997,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12996])).
% 3.64/3.88 tff(12998,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(transitivity,[status(thm)],[12997, 12995])).
% 3.64/3.88 tff(12999,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1))))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(13000,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(elem!1)))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[12999, 12998])).
% 3.64/3.88 tff(13001,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[13000, 338, 12949, 7528, 12946, 12994, 9897, 12986])).
% 3.64/3.88 tff(13002,plain,((~r(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(elem!1), elem!1) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (s(elem!1) = s(z)) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(13003,plain,
% 3.64/3.88 (~r(s(s(s(elem!1))), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[13002, 12918, 12910, 12895, 12912, 1595, 12248, 165, 6387, 12916, 12831, 1474, 12004, 264])).
% 3.64/3.88 tff(13004,plain,
% 3.64/3.88 (b(s(s(s(elem!1))), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1387, 13003])).
% 3.64/3.88 tff(13005,plain,
% 3.64/3.88 (b(elem!1, z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[3979, 13004, 12895])).
% 3.64/3.88 tff(13006,plain,
% 3.64/3.88 (~r(s(z), s(s(elem!1)))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[12752, 13005, 12831, 6387, 1021, 12895, 264, 12898, 12912, 165])).
% 3.64/3.88 tff(13007,plain,
% 3.64/3.88 (b(s(z), s(s(elem!1)))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[743, 13006])).
% 3.64/3.88 tff(13008,plain,
% 3.64/3.88 (~b(s(elem!1), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1804, 13004, 1595, 12907, 6584])).
% 3.64/3.88 tff(13009,plain,
% 3.64/3.88 (r(s(elem!1), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1812, 13008])).
% 3.64/3.88 tff(13010,plain,
% 3.64/3.88 (~r(s(elem!1), s(s(elem!1)))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1823, 13009, 165])).
% 3.64/3.88 tff(13011,plain,
% 3.64/3.88 (b(s(elem!1), s(s(elem!1)))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[3081, 13010, 1787])).
% 3.64/3.88 tff(13012,plain,
% 3.64/3.88 ((s(z) = elem!1) <=> (s(z) = s(s(s(elem!1))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[12895])).
% 3.64/3.88 tff(13013,plain,
% 3.64/3.88 ((s(z) = s(s(s(elem!1)))) <=> (s(z) = elem!1)),
% 3.64/3.88 inference(symmetry,[status(thm)],[13012])).
% 3.64/3.88 tff(13014,plain,
% 3.64/3.88 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(z) = elem!1))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[13013])).
% 3.64/3.88 tff(13015,plain,
% 3.64/3.88 (~(s(z) = elem!1)),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[1263, 13014])).
% 3.64/3.88 tff(13016,plain,
% 3.64/3.88 (~r(s(elem!1), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[8691, 13007, 12898, 12906, 13015, 12916, 12901, 12831, 1474])).
% 3.64/3.88 tff(13017,plain,
% 3.64/3.88 (b(s(elem!1), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[2070, 13016, 12004])).
% 3.64/3.88 tff(13018,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[11779, 13017, 13011, 6584, 12828, 13005, 13007])).
% 3.64/3.88 tff(13019,plain,(b(elem!1, s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (s(s(elem!1)) = s(elem!1)) | b(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(13020,plain,
% 3.64/3.88 (~b(z, elem!1)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[13019, 12227, 6387, 162, 264, 12239, 7154, 12242])).
% 3.64/3.88 tff(13021,plain,
% 3.64/3.88 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[2653, 2794, 140])).
% 3.64/3.88 tff(13022,plain,
% 3.64/3.88 (~(s(s(elem!1)) = s(elem!1))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1343, 13021])).
% 3.64/3.88 tff(13023,plain,
% 3.64/3.88 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[2611, 13021])).
% 3.64/3.88 tff(13024,plain,
% 3.64/3.88 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1329, 13021])).
% 3.64/3.88 tff(13025,plain,
% 3.64/3.88 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[4229, 2794, 12172, 140])).
% 3.64/3.89 tff(13026,plain,
% 3.64/3.89 (~r(z, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[4588, 165, 12172])).
% 3.64/3.89 tff(13027,plain,
% 3.64/3.89 (b(z, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[403, 13026])).
% 3.64/3.89 tff(13028,plain,
% 3.64/3.89 (~r(s(z), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[729, 165, 12172])).
% 3.64/3.89 tff(13029,plain,
% 3.64/3.89 (b(s(z), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[26, 13028])).
% 3.64/3.89 tff(13030,plain,
% 3.64/3.89 (~r(elem!1, s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[7617, 6326, 13029, 3084, 13027, 6324])).
% 3.64/3.89 tff(13031,plain,
% 3.64/3.89 (b(elem!1, s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[252, 13030, 1469])).
% 3.64/3.89 tff(13032,plain,
% 3.64/3.89 (b(s(s(elem!1)), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[277, 6404, 229])).
% 3.64/3.89 tff(13033,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(13034,plain,
% 3.64/3.89 (((~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(13035,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z)))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13034])).
% 3.64/3.89 tff(13036,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[13035, 13033])).
% 3.64/3.89 tff(13037,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)))),
% 3.64/3.89 inference(quant_inst,[status(thm)],[])).
% 3.64/3.89 tff(13038,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(z)))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13037, 13036])).
% 3.64/3.89 tff(13039,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13038, 338, 745, 13032, 315, 4294, 486, 3084])).
% 3.64/3.89 tff(13040,plain,((~r(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), s(z))) | (s(s(elem!1)) = s(elem!1)) | (~r(z, s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | b(elem!1, z) | (elem!1 = s(s(elem!1))) | b(z, elem!1) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(13041,plain,
% 3.64/3.89 (~r(s(elem!1), elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13040, 13031, 13027, 3084, 229, 165, 6328, 3977, 137, 177, 6324])).
% 3.64/3.89 tff(13042,plain,
% 3.64/3.89 (b(s(elem!1), elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[312, 13041, 1474])).
% 3.64/3.89 tff(13043,plain,
% 3.64/3.89 (~b(s(s(elem!1)), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[346, 13042, 137, 6329, 13031, 6325])).
% 3.64/3.89 tff(13044,plain,
% 3.64/3.89 (r(s(s(elem!1)), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[277, 13043, 229])).
% 3.64/3.89 tff(13045,plain,
% 3.64/3.89 (~r(z, s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[272, 13044, 165])).
% 3.64/3.89 tff(13046,plain,
% 3.64/3.89 (b(z, s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1615, 13045])).
% 3.64/3.89 tff(13047,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(13048,plain,
% 3.64/3.89 (((~b(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(13049,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13048])).
% 3.64/3.89 tff(13050,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[13049, 13047])).
% 3.64/3.89 tff(13051,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))),
% 3.64/3.89 inference(quant_inst,[status(thm)],[])).
% 3.64/3.89 tff(13052,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13051, 13050])).
% 3.64/3.89 tff(13053,plain,
% 3.64/3.89 ((~b(z, s(elem!1))) | (~b(s(z), s(s(s(elem!1)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13052, 338, 6332, 13027, 13029, 3084])).
% 3.64/3.89 tff(13054,plain,
% 3.64/3.89 (~b(s(z), s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13053, 13046])).
% 3.64/3.89 tff(13055,plain,
% 3.64/3.89 (r(s(z), s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1870, 13054])).
% 3.64/3.89 tff(13056,plain,
% 3.64/3.89 (~(elem!1 = s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1924, 6328])).
% 3.64/3.89 tff(13057,plain,
% 3.64/3.89 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1829, 6327, 1787, 6332, 13046, 13042, 165, 1595])).
% 3.64/3.89 tff(13058,plain,
% 3.64/3.89 (r(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1971, 13057, 218])).
% 3.64/3.89 tff(13059,plain,
% 3.64/3.89 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6302, 13058, 13044])).
% 3.64/3.89 tff(13060,plain,
% 3.64/3.89 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[2619, 13059, 2614])).
% 3.64/3.89 tff(13061,plain,
% 3.64/3.89 (~b(elem!1, s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6395, 13060, 6330, 6327, 6387])).
% 3.64/3.89 tff(13062,plain,
% 3.64/3.89 (r(elem!1, s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1946, 13061, 13056])).
% 3.64/3.89 tff(13063,plain,
% 3.64/3.89 (~b(s(s(s(elem!1))), elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6708, 13062, 1595, 165, 6324, 210, 6330, 1474, 6327, 6387])).
% 3.64/3.89 tff(13064,plain,
% 3.64/3.89 (r(s(s(s(elem!1))), elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[2162, 13063, 6328])).
% 3.64/3.89 tff(13065,plain,
% 3.64/3.89 (~r(s(z), elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1862, 13064, 13055])).
% 3.64/3.89 tff(13066,plain,
% 3.64/3.89 (b(elem!1, s(s(elem!1))) <=> b(s(z), s(s(elem!1)))),
% 3.64/3.89 inference(symmetry,[status(thm)],[5271])).
% 3.64/3.89 tff(13067,plain,
% 3.64/3.89 (b(s(z), s(s(elem!1)))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[762, 13066])).
% 3.64/3.89 tff(13068,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[12171, 13067])).
% 3.64/3.89 tff(13069,plain,((~(s(z) = elem!1)) | b(s(z), s(s(elem!1))) | (~b(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(13070,plain,
% 3.64/3.89 (~(s(z) = elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13069, 6330, 12171])).
% 3.64/3.89 tff(13071,plain,
% 3.64/3.89 (b(s(z), elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[701, 13070, 13065])).
% 3.64/3.89 tff(13072,plain,
% 3.64/3.89 (~(elem!1 = s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[696, 13070])).
% 3.64/3.89 tff(13073,plain,
% 3.64/3.89 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(13074,plain,
% 3.64/3.89 (((~r(s(z), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z)))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(13075,plain,
% 3.64/3.89 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(elem!1)))))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13074])).
% 3.64/3.89 tff(13076,plain,
% 3.64/3.89 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[13075, 13073])).
% 3.64/3.89 tff(13077,plain,
% 3.64/3.89 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))))),
% 3.64/3.89 inference(quant_inst,[status(thm)],[])).
% 3.64/3.89 tff(13078,plain,
% 3.64/3.89 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(elem!1)))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13077, 13076])).
% 3.64/3.89 tff(13079,plain,
% 3.64/3.89 (~r(elem!1, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13078, 82, 13062, 13055])).
% 3.64/3.89 tff(13080,plain,
% 3.64/3.89 ((elem!1 = s(z)) | b(elem!1, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[817, 21, 13079])).
% 3.64/3.89 tff(13081,plain,
% 3.64/3.89 (b(elem!1, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13080, 13072])).
% 3.64/3.89 tff(13082,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(13083,plain,
% 3.64/3.89 (((~b(s(elem!1), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(z)))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(13084,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z)))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13083])).
% 3.64/3.89 tff(13085,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[13084, 13082])).
% 3.64/3.89 tff(13086,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(z))))),
% 3.64/3.89 inference(quant_inst,[status(thm)],[])).
% 3.64/3.89 tff(13087,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(elem!1), s(z)))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13086, 13085])).
% 3.64/3.89 tff(13088,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13087, 338, 315, 314, 706, 831, 3084])).
% 3.64/3.89 tff(13089,plain,((~b(s(elem!1), s(z))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(13090,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13089, 13081, 13071, 3084, 13031, 13042])).
% 3.64/3.89 tff(13091,plain,((z = elem!1) | (~b(s(elem!1), s(z))) | b(s(z), s(s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(13092,plain,
% 3.64/3.89 (z = elem!1),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13091, 3084, 12171, 1595, 165, 6387, 2614, 229, 137, 3977, 177])).
% 3.64/3.89 tff(13093,plain,
% 3.64/3.89 (s(z) = s(elem!1)),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13092])).
% 3.64/3.89 tff(13094,plain,
% 3.64/3.89 (b(s(elem!1), s(z)) <=> b(s(elem!1), s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13093])).
% 3.64/3.89 tff(13095,plain,
% 3.64/3.89 (b(s(elem!1), s(elem!1)) <=> b(s(elem!1), s(z))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13094])).
% 3.64/3.89 tff(13096,plain,
% 3.64/3.89 ((~b(s(elem!1), s(elem!1))) <=> (~b(s(elem!1), s(z)))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13095])).
% 3.64/3.89 tff(13097,plain,
% 3.64/3.89 ((~![X: $i] : (~b(X, X))) | (~b(s(elem!1), s(elem!1)))),
% 3.64/3.89 inference(quant_inst,[status(thm)],[])).
% 3.64/3.89 tff(13098,plain,
% 3.64/3.89 (~b(s(elem!1), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13097, 1031])).
% 3.64/3.89 tff(13099,plain,
% 3.64/3.89 (~b(s(elem!1), s(z))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13098, 13096])).
% 3.64/3.89 tff(13100,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[3084, 13099])).
% 3.64/3.89 tff(13101,plain,((~b(s(elem!1), s(z))) | b(s(z), s(s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(13102,plain,
% 3.64/3.89 (~b(s(elem!1), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13101, 137, 2794, 165, 6387, 2614, 229, 12171, 3977, 177])).
% 3.64/3.89 tff(13103,plain,
% 3.64/3.89 (z = elem!1),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6451, 137, 2794, 165, 229, 13029, 3977, 177, 2588, 13102])).
% 3.64/3.89 tff(13104,plain,
% 3.64/3.89 (s(z) = s(elem!1)),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13103])).
% 3.64/3.89 tff(13105,plain,
% 3.64/3.89 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13104])).
% 3.64/3.89 tff(13106,plain,
% 3.64/3.89 (b(z, s(z)) <=> b(elem!1, s(z))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13103])).
% 3.64/3.89 tff(13107,plain,
% 3.64/3.89 (b(elem!1, s(z))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13027, 13106])).
% 3.64/3.89 tff(13108,plain,
% 3.64/3.89 (b(elem!1, s(elem!1))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13107, 13105])).
% 3.64/3.89 tff(13109,plain,
% 3.64/3.89 (~(s(s(s(elem!1))) = elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[2149, 2794, 177])).
% 3.64/3.89 tff(13110,plain,
% 3.64/3.89 (~(elem!1 = s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1924, 13109])).
% 3.64/3.89 tff(13111,plain,
% 3.64/3.89 (elem!1 = z),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[2752, 13103])).
% 3.64/3.89 tff(13112,plain,
% 3.64/3.89 (~r(elem!1, s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[2802, 13111, 2793])).
% 3.64/3.89 tff(13113,plain,
% 3.64/3.89 (b(elem!1, s(s(s(elem!1))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1946, 13112, 13110])).
% 3.64/3.89 tff(13114,plain,
% 3.64/3.89 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13104])).
% 3.64/3.89 tff(13115,plain,
% 3.64/3.89 (b(s(z), elem!1)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[3104, 13111, 13029])).
% 3.64/3.89 tff(13116,plain,
% 3.64/3.89 (b(s(elem!1), elem!1)),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13115, 13114])).
% 3.64/3.89 tff(13117,plain,
% 3.64/3.89 (s(s(z)) = s(s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13104])).
% 3.64/3.89 tff(13118,plain,
% 3.64/3.89 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13117])).
% 3.64/3.89 tff(13119,plain,
% 3.64/3.89 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13118])).
% 3.64/3.89 tff(13120,plain,
% 3.64/3.89 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13119])).
% 3.64/3.89 tff(13121,plain,
% 3.64/3.89 (r(s(s(s(s(z)))), z) <=> r(s(s(s(s(z)))), elem!1)),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13103])).
% 3.64/3.89 tff(13122,plain,
% 3.64/3.89 (r(s(s(s(s(z)))), z) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 3.64/3.89 inference(transitivity,[status(thm)],[13121, 13120])).
% 3.64/3.89 tff(13123,plain,
% 3.64/3.89 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13119])).
% 3.64/3.89 tff(13124,plain,
% 3.64/3.89 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13123])).
% 3.64/3.89 tff(13125,plain,
% 3.64/3.89 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13124])).
% 3.64/3.89 tff(13126,plain,
% 3.64/3.89 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13118])).
% 3.64/3.89 tff(13127,plain,
% 3.64/3.89 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[13126, 13125])).
% 3.64/3.89 tff(13128,plain,
% 3.64/3.89 ((s(s(s(elem!1))) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 3.64/3.89 inference(commutativity,[status(thm)],[])).
% 3.64/3.89 tff(13129,plain,
% 3.64/3.89 ((s(s(s(s(elem!1)))) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(s(s(s(elem!1)))))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13128])).
% 3.64/3.89 tff(13130,plain,
% 3.64/3.89 ((~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = s(s(s(s(elem!1))))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13129])).
% 3.64/3.89 tff(13131,plain,
% 3.64/3.89 (~(s(s(s(elem!1))) = s(s(s(s(elem!1)))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[1475, 13130])).
% 3.64/3.89 tff(13132,plain,
% 3.64/3.89 (z = elem!1),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6423, 1854, 2588, 165, 229, 137, 3977, 177, 2794, 2065])).
% 3.64/3.89 tff(13133,plain,
% 3.64/3.89 (s(z) = s(elem!1)),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13132])).
% 3.64/3.89 tff(13134,plain,
% 3.64/3.89 (b(s(z), s(elem!1)) <=> b(s(elem!1), s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13133])).
% 3.64/3.89 tff(13135,plain,
% 3.64/3.89 (b(s(elem!1), s(elem!1)) <=> b(s(z), s(elem!1))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13134])).
% 3.64/3.89 tff(13136,plain,
% 3.64/3.89 ((~b(s(elem!1), s(elem!1))) <=> (~b(s(z), s(elem!1)))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13135])).
% 3.64/3.89 tff(13137,plain,
% 3.64/3.89 (~b(s(z), s(elem!1))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13098, 13136])).
% 3.64/3.89 tff(13138,plain,
% 3.64/3.89 ((s(z) = s(elem!1)) | r(s(z), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1985, 21, 3064])).
% 3.64/3.89 tff(13139,plain,
% 3.64/3.89 (r(s(z), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13138, 4321])).
% 3.64/3.89 tff(13140,plain,
% 3.64/3.89 (~b(s(s(elem!1)), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[346, 6409, 137, 6325, 6334, 6329])).
% 3.64/3.89 tff(13141,plain,
% 3.64/3.89 (r(s(s(elem!1)), s(elem!1))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[277, 13140, 229])).
% 3.64/3.89 tff(13142,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[8350, 82, 13141, 721, 13139])).
% 3.64/3.89 tff(13143,plain,((z = elem!1) | (~r(s(z), s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | b(elem!1, z) | b(z, elem!1) | (~r(s(z), s(s(s(elem!1))))) | b(s(z), s(elem!1)) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(13144,plain,
% 3.64/3.89 (z = elem!1),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13143, 3064, 229, 137, 2794, 165, 3977, 177, 1854, 721, 2065])).
% 3.64/3.89 tff(13145,plain,
% 3.64/3.89 (s(z) = s(elem!1)),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13144])).
% 3.64/3.89 tff(13146,plain,
% 3.64/3.89 (s(elem!1) = s(z)),
% 3.64/3.89 inference(symmetry,[status(thm)],[13145])).
% 3.64/3.89 tff(13147,plain,
% 3.64/3.89 (b(s(s(s(s(elem!1)))), s(elem!1)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13146])).
% 3.64/3.89 tff(13148,plain,
% 3.64/3.89 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13147])).
% 3.64/3.89 tff(13149,plain,
% 3.64/3.89 (s(s(z)) = s(s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13145])).
% 3.64/3.89 tff(13150,plain,
% 3.64/3.89 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13149])).
% 3.64/3.89 tff(13151,plain,
% 3.64/3.89 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13150])).
% 3.64/3.89 tff(13152,plain,
% 3.64/3.89 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13151])).
% 3.64/3.89 tff(13153,plain,
% 3.64/3.89 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13152, 13145])).
% 3.64/3.89 tff(13154,plain,
% 3.64/3.89 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13153])).
% 3.64/3.89 tff(13155,plain,
% 3.64/3.89 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13145])).
% 3.64/3.89 tff(13156,plain,
% 3.64/3.89 (b(s(s(s(s(z)))), s(elem!1))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[2911, 13155])).
% 3.64/3.89 tff(13157,plain,
% 3.64/3.89 (b(s(s(s(s(elem!1)))), s(z))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13156, 13154])).
% 3.64/3.89 tff(13158,plain,
% 3.64/3.89 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13157, 13148])).
% 3.64/3.89 tff(13159,plain,
% 3.64/3.89 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13144])).
% 3.64/3.89 tff(13160,plain,
% 3.64/3.89 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[13159, 2831])).
% 3.64/3.89 tff(13161,plain,
% 3.64/3.89 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13160])).
% 3.64/3.89 tff(13162,plain,
% 3.64/3.89 (~(elem!1 = s(s(s(s(elem!1)))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[1633, 13161])).
% 3.64/3.89 tff(13163,plain,
% 3.64/3.89 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13150, 13145])).
% 3.64/3.89 tff(13164,plain,
% 3.64/3.89 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(z))), s(z))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13163])).
% 3.64/3.89 tff(13165,plain,
% 3.64/3.89 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13145])).
% 3.64/3.89 tff(13166,plain,
% 3.64/3.89 (r(s(s(s(elem!1))), s(elem!1))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[2588, 13165])).
% 3.64/3.89 tff(13167,plain,
% 3.64/3.89 (r(s(s(s(z))), s(z))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13166, 13164])).
% 3.64/3.89 tff(13168,plain,
% 3.64/3.89 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13150])).
% 3.64/3.89 tff(13169,plain,
% 3.64/3.89 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13168])).
% 3.64/3.89 tff(13170,plain,
% 3.64/3.89 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13169])).
% 3.64/3.89 tff(13171,plain,
% 3.64/3.89 (b(s(s(z)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13149])).
% 3.64/3.89 tff(13172,plain,
% 3.64/3.89 (b(s(s(z)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[13171, 13170])).
% 3.64/3.89 tff(13173,plain,
% 3.64/3.89 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13145])).
% 3.64/3.89 tff(13174,plain,
% 3.64/3.89 (r(s(elem!1), s(s(s(z)))) <=> r(s(z), s(s(s(z))))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13173])).
% 3.64/3.89 tff(13175,plain,
% 3.64/3.89 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13150])).
% 3.64/3.89 tff(13176,plain,
% 3.64/3.89 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(z))))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13175])).
% 3.64/3.89 tff(13177,plain,
% 3.64/3.89 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(z), s(s(s(z))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[13176, 13174])).
% 3.64/3.89 tff(13178,plain,
% 3.64/3.89 (r(s(z), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13145])).
% 3.64/3.89 tff(13179,plain,
% 3.64/3.89 (r(s(elem!1), s(s(s(elem!1))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[1854, 13178])).
% 3.64/3.89 tff(13180,plain,
% 3.64/3.89 (r(s(z), s(s(s(z))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13179, 13177])).
% 3.64/3.89 tff(13181,plain,
% 3.64/3.89 (r(s(z), s(s(z))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13145, 13149])).
% 3.64/3.89 tff(13182,plain,
% 3.64/3.89 (r(s(elem!1), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 3.64/3.89 inference(symmetry,[status(thm)],[13181])).
% 3.64/3.89 tff(13183,plain,
% 3.64/3.89 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[13145])).
% 3.64/3.89 tff(13184,plain,
% 3.64/3.89 (r(s(elem!1), s(s(elem!1)))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[721, 13183])).
% 3.64/3.89 tff(13185,plain,
% 3.64/3.89 (r(s(z), s(s(z)))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13184, 13182])).
% 3.64/3.89 tff(13186,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[3866, 82, 487, 406, 70])).
% 3.64/3.89 tff(13187,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(13188,plain,
% 3.64/3.89 (~r(s(s(z)), s(s(s(z))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[13187, 13185, 13180])).
% 3.64/3.89 tff(13189,plain,
% 3.64/3.89 (b(s(s(z)), s(s(s(z))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[534, 13188])).
% 3.64/3.89 tff(13190,plain,
% 3.64/3.89 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[13189, 13172])).
% 3.64/3.89 tff(13191,plain,
% 3.64/3.89 (elem!1 = z),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[2752, 13144])).
% 3.64/3.89 tff(13192,plain,
% 3.64/3.90 (~r(elem!1, s(s(s(elem!1))))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[2802, 13191, 2793])).
% 3.64/3.90 tff(13193,plain,
% 3.64/3.90 (b(elem!1, s(s(s(elem!1))))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[1946, 13192, 13110])).
% 3.64/3.90 tff(13194,plain,
% 3.64/3.90 ((s(s(s(s(z)))) = s(s(s(z)))) <=> (s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.64/3.90 inference(monotonicity,[status(thm)],[2808])).
% 3.64/3.90 tff(13195,plain,
% 3.64/3.90 ((~(s(s(s(s(z)))) = s(s(s(z))))) <=> (~(s(s(s(s(z)))) = s(s(s(elem!1)))))),
% 3.64/3.90 inference(monotonicity,[status(thm)],[13194])).
% 3.64/3.90 tff(13196,plain,
% 3.64/3.90 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.64/3.90 inference(modus_ponens,[status(thm)],[683, 13195])).
% 3.64/3.90 tff(13197,plain,
% 3.64/3.90 ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) <=> (~b(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.64/3.90 inference(monotonicity,[status(thm)],[2826])).
% 3.64/3.90 tff(13198,plain,
% 3.64/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.64/3.90 inference(rewrite,[status(thm)],[])).
% 3.64/3.90 tff(13199,plain,
% 3.64/3.90 (((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.64/3.90 inference(rewrite,[status(thm)],[])).
% 3.64/3.90 tff(13200,plain,
% 3.64/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.64/3.90 inference(monotonicity,[status(thm)],[13199])).
% 3.64/3.90 tff(13201,plain,
% 3.64/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.64/3.90 inference(transitivity,[status(thm)],[13200, 13198])).
% 3.64/3.90 tff(13202,plain,
% 3.64/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(13203,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13202, 13201])).
% 3.74/3.90 tff(13204,plain,
% 3.74/3.90 ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13203, 338, 1929, 6387, 2301, 6386])).
% 3.74/3.90 tff(13205,plain,
% 3.74/3.90 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13204, 763])).
% 3.74/3.90 tff(13206,plain,
% 3.74/3.90 (~b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13205, 13197])).
% 3.74/3.90 tff(13207,plain,
% 3.74/3.90 (r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[3768, 13206, 13196])).
% 3.74/3.90 tff(13208,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(13209,plain,
% 3.74/3.90 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(13210,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13209])).
% 3.74/3.90 tff(13211,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13210, 13208])).
% 3.74/3.90 tff(13212,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(13213,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 3.74/3.90 tff(13214,plain,
% 3.74/3.90 ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13213, 338, 1929, 6387, 2301, 6386])).
% 3.74/3.90 tff(13215,plain,
% 3.74/3.90 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13214, 763])).
% 3.74/3.90 tff(13216,plain,
% 3.74/3.90 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13215, 5921])).
% 3.74/3.90 tff(13217,plain,
% 3.74/3.90 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[689, 13216])).
% 3.74/3.90 tff(13218,plain,
% 3.74/3.90 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[2959, 13217, 427])).
% 3.74/3.90 tff(13219,plain,
% 3.74/3.90 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[106, 13218])).
% 3.74/3.90 tff(13220,plain,
% 3.74/3.90 (~b(s(s(s(s(z)))), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[3204, 13219, 1740, 486, 2911])).
% 3.74/3.90 tff(13221,plain,
% 3.74/3.90 (r(s(s(s(s(z)))), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[127, 13220])).
% 3.74/3.90 tff(13222,plain,
% 3.74/3.90 (r(s(s(s(s(z)))), elem!1)),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13221, 2844])).
% 3.74/3.90 tff(13223,plain,
% 3.74/3.90 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(13224,plain,
% 3.74/3.90 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(13225,plain,
% 3.74/3.90 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 3.74/3.90 tff(13226,plain,
% 3.74/3.90 ($false),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13225, 82, 1269, 1147, 10873])).
% 3.74/3.90 tff(13227,plain,((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.90 tff(13228,plain,
% 3.74/3.90 (~r(s(s(s(elem!1))), elem!1)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13227, 13222, 13207])).
% 3.74/3.90 tff(13229,plain,
% 3.74/3.90 (b(s(s(s(elem!1))), elem!1)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[2162, 13228, 1271])).
% 3.74/3.90 tff(13230,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(13231,plain,
% 3.74/3.90 (((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(13232,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13231])).
% 3.74/3.90 tff(13233,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13232, 13230])).
% 3.74/3.90 tff(13234,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(13235,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13234, 13233])).
% 3.74/3.90 tff(13236,plain,
% 3.74/3.90 ($false),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13235, 338, 763, 1929, 13229, 6387, 6386])).
% 3.74/3.90 tff(13237,plain,((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(elem!1))) = elem!1) | (~(z = elem!1)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.90 tff(13238,plain,
% 3.74/3.90 (~b(s(s(elem!1)), elem!1)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13237, 13193, 6387, 13190, 13109, 13144, 7558, 7554, 2911, 13167, 7556])).
% 3.74/3.90 tff(13239,plain,
% 3.74/3.90 (r(s(s(elem!1)), elem!1)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[327, 13238, 197])).
% 3.74/3.90 tff(13240,plain,
% 3.74/3.90 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13151])).
% 3.74/3.90 tff(13241,plain,
% 3.74/3.90 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(elem!1)) = s(s(s(s(elem!1))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13240])).
% 3.74/3.90 tff(13242,plain,
% 3.74/3.90 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13149])).
% 3.74/3.90 tff(13243,plain,
% 3.74/3.90 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13242, 4380])).
% 3.74/3.90 tff(13244,plain,
% 3.74/3.90 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(s(s(z))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13243])).
% 3.74/3.90 tff(13245,plain,
% 3.74/3.90 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[60, 13244])).
% 3.74/3.90 tff(13246,plain,
% 3.74/3.90 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13245, 13241])).
% 3.74/3.90 tff(13247,plain,
% 3.74/3.90 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13152])).
% 3.74/3.90 tff(13248,plain,
% 3.74/3.90 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(symmetry,[status(thm)],[13247])).
% 3.74/3.90 tff(13249,plain,
% 3.74/3.90 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13150])).
% 3.74/3.90 tff(13250,plain,
% 3.74/3.90 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13249, 13248])).
% 3.74/3.90 tff(13251,plain,
% 3.74/3.90 (~b(s(s(elem!1)), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[5940, 13238, 13191])).
% 3.74/3.90 tff(13252,plain,
% 3.74/3.90 (~r(z, s(elem!1))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[272, 13141, 165])).
% 3.74/3.90 tff(13253,plain,
% 3.74/3.90 (b(z, s(elem!1))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[1615, 13252])).
% 3.74/3.90 tff(13254,plain,
% 3.74/3.90 (~r(s(elem!1), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[5958, 13141, 787])).
% 3.74/3.90 tff(13255,plain,
% 3.74/3.90 (b(s(elem!1), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[1812, 13254])).
% 3.74/3.90 tff(13256,plain,
% 3.74/3.90 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[1804, 13255, 1595, 6332, 13253])).
% 3.74/3.90 tff(13257,plain,
% 3.74/3.90 (r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[1971, 13256, 218])).
% 3.74/3.90 tff(13258,plain,
% 3.74/3.90 (~r(s(z), s(elem!1))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[6317, 13257, 1854])).
% 3.74/3.90 tff(13259,plain,
% 3.74/3.90 ($false),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[1985, 21, 3064, 4321, 13258])).
% 3.74/3.90 tff(13260,plain,((z = elem!1) | b(s(z), s(elem!1)) | (~r(s(z), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.90 tff(13261,plain,
% 3.74/3.90 (z = elem!1),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13260, 10647, 1854, 2794, 3064, 165, 229, 137, 3977, 177, 2065])).
% 3.74/3.90 tff(13262,plain,
% 3.74/3.90 (s(z) = s(elem!1)),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13261])).
% 3.74/3.90 tff(13263,plain,
% 3.74/3.90 (s(s(z)) = s(s(elem!1))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13262])).
% 3.74/3.90 tff(13264,plain,
% 3.74/3.90 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13263])).
% 3.74/3.90 tff(13265,plain,
% 3.74/3.90 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.74/3.90 inference(symmetry,[status(thm)],[13264])).
% 3.74/3.90 tff(13266,plain,
% 3.74/3.90 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13265])).
% 3.74/3.90 tff(13267,plain,
% 3.74/3.90 ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) <=> (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13266])).
% 3.74/3.90 tff(13268,plain,
% 3.74/3.90 ((~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[6045])).
% 3.74/3.90 tff(13269,plain,
% 3.74/3.90 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13261])).
% 3.74/3.90 tff(13270,plain,
% 3.74/3.90 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13269, 2831])).
% 3.74/3.90 tff(13271,plain,
% 3.74/3.90 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13270])).
% 3.74/3.90 tff(13272,plain,
% 3.74/3.90 (~(elem!1 = s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[1633, 13271])).
% 3.74/3.90 tff(13273,plain,
% 3.74/3.90 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[6043, 13272])).
% 3.74/3.90 tff(13274,plain,
% 3.74/3.90 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13273, 13268])).
% 3.74/3.90 tff(13275,plain,
% 3.74/3.90 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13261])).
% 3.74/3.90 tff(13276,plain,
% 3.74/3.90 (r(elem!1, s(s(elem!1)))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[165, 13275])).
% 3.74/3.90 tff(13277,plain,
% 3.74/3.90 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13262])).
% 3.74/3.90 tff(13278,plain,
% 3.74/3.90 (r(s(elem!1), s(s(elem!1)))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[721, 13277])).
% 3.74/3.90 tff(13279,plain,
% 3.74/3.90 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13262])).
% 3.74/3.90 tff(13280,plain,
% 3.74/3.90 (b(z, s(z)) <=> b(elem!1, s(z))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13261])).
% 3.74/3.90 tff(13281,plain,
% 3.74/3.90 (b(elem!1, s(z))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[7554, 13280])).
% 3.74/3.90 tff(13282,plain,
% 3.74/3.90 (b(elem!1, s(elem!1))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13281, 13279])).
% 3.74/3.90 tff(13283,plain,
% 3.74/3.90 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13262])).
% 3.74/3.90 tff(13284,plain,
% 3.74/3.90 (elem!1 = z),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[2752, 13261])).
% 3.74/3.90 tff(13285,plain,
% 3.74/3.90 (b(s(z), elem!1)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[3104, 13284, 7558])).
% 3.74/3.90 tff(13286,plain,
% 3.74/3.90 (b(s(elem!1), elem!1)),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13285, 13283])).
% 3.74/3.90 tff(13287,plain,
% 3.74/3.90 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[7937, 13286, 13282, 13261, 13278, 13276])).
% 3.74/3.90 tff(13288,plain,
% 3.74/3.90 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[6063, 13287, 13274])).
% 3.74/3.90 tff(13289,plain,
% 3.74/3.90 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13265])).
% 3.74/3.90 tff(13290,plain,
% 3.74/3.90 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.90 inference(symmetry,[status(thm)],[13289])).
% 3.74/3.90 tff(13291,plain,
% 3.74/3.90 (b(s(s(z)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13263])).
% 3.74/3.90 tff(13292,plain,
% 3.74/3.90 (b(s(s(z)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13291, 13290])).
% 3.74/3.90 tff(13293,plain,
% 3.74/3.90 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13262])).
% 3.74/3.90 tff(13294,plain,
% 3.74/3.90 (r(s(elem!1), s(s(s(z)))) <=> r(s(z), s(s(s(z))))),
% 3.74/3.90 inference(symmetry,[status(thm)],[13293])).
% 3.74/3.90 tff(13295,plain,
% 3.74/3.90 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13264])).
% 3.74/3.90 tff(13296,plain,
% 3.74/3.90 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(z))))),
% 3.74/3.90 inference(symmetry,[status(thm)],[13295])).
% 3.74/3.90 tff(13297,plain,
% 3.74/3.90 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(z), s(s(s(z))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13296, 13294])).
% 3.74/3.90 tff(13298,plain,
% 3.74/3.90 (r(s(z), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13262])).
% 3.74/3.90 tff(13299,plain,
% 3.74/3.90 (r(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[1854, 13298])).
% 3.74/3.90 tff(13300,plain,
% 3.74/3.90 (r(s(z), s(s(s(z))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13299, 13297])).
% 3.74/3.90 tff(13301,plain,
% 3.74/3.90 (r(s(z), s(s(z))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13262, 13263])).
% 3.74/3.90 tff(13302,plain,
% 3.74/3.90 (r(s(elem!1), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 3.74/3.90 inference(symmetry,[status(thm)],[13301])).
% 3.74/3.90 tff(13303,plain,
% 3.74/3.90 (r(s(z), s(s(z)))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13278, 13302])).
% 3.74/3.90 tff(13304,plain,
% 3.74/3.90 (~r(s(s(z)), s(s(s(z))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[13187, 13303, 13300])).
% 3.74/3.90 tff(13305,plain,
% 3.74/3.90 (b(s(s(z)), s(s(s(z))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[534, 13304])).
% 3.74/3.90 tff(13306,plain,
% 3.74/3.90 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13305, 13292])).
% 3.74/3.90 tff(13307,plain,
% 3.74/3.90 (~b(s(s(elem!1)), elem!1)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[906, 13261, 795])).
% 3.74/3.90 tff(13308,plain,
% 3.74/3.90 (r(s(s(elem!1)), elem!1)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[327, 13307, 197])).
% 3.74/3.90 tff(13309,plain,
% 3.74/3.90 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13261])).
% 3.74/3.90 tff(13310,plain,
% 3.74/3.90 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13309, 5922])).
% 3.74/3.90 tff(13311,plain,
% 3.74/3.90 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.74/3.90 inference(transitivity,[status(thm)],[13310, 5923])).
% 3.74/3.90 tff(13312,plain,
% 3.74/3.90 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13311])).
% 3.74/3.90 tff(13313,plain,
% 3.74/3.90 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[5929, 13312])).
% 3.74/3.90 tff(13314,plain,
% 3.74/3.90 (r(s(s(s(s(elem!1)))), z) <=> r(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13261])).
% 3.74/3.90 tff(13315,plain,
% 3.74/3.90 (r(s(s(s(s(elem!1)))), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[2848, 13261, 1122])).
% 3.74/3.90 tff(13316,plain,
% 3.74/3.90 (r(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 3.74/3.90 tff(13317,plain,
% 3.74/3.90 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13264])).
% 3.74/3.90 tff(13318,plain,
% 3.74/3.90 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.74/3.90 inference(symmetry,[status(thm)],[13317])).
% 3.74/3.90 tff(13319,plain,
% 3.74/3.90 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13318])).
% 3.74/3.90 tff(13320,plain,
% 3.74/3.90 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(symmetry,[status(thm)],[13319])).
% 3.74/3.90 tff(13321,plain,
% 3.74/3.90 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(elem!1)) = s(s(s(s(elem!1))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13320])).
% 3.74/3.90 tff(13322,plain,
% 3.74/3.90 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13263])).
% 3.74/3.90 tff(13323,plain,
% 3.74/3.90 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13322, 4380])).
% 3.74/3.90 tff(13324,plain,
% 3.74/3.90 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(s(s(z))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13323])).
% 3.74/3.90 tff(13325,plain,
% 3.74/3.90 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[60, 13324])).
% 3.74/3.90 tff(13326,plain,
% 3.74/3.90 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[13325, 13321])).
% 3.74/3.90 tff(13327,plain,
% 3.74/3.90 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13317])).
% 3.74/3.90 tff(13328,plain,
% 3.74/3.90 ((~r(s(s(elem!1)), s(s(s(s(z)))))) <=> (~r(s(s(elem!1)), s(s(s(s(elem!1))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13327])).
% 3.74/3.90 tff(13329,plain,
% 3.74/3.90 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(13330,plain,
% 3.74/3.90 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(13331,plain,
% 3.74/3.90 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[13330])).
% 3.74/3.90 tff(13332,plain,
% 3.74/3.90 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[13331, 13329])).
% 3.74/3.90 tff(13333,plain,
% 3.74/3.90 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(13334,plain,
% 3.74/3.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13333, 13332])).
% 3.74/3.91 tff(13335,plain,
% 3.74/3.91 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13334, 82, 10647, 1122])).
% 3.74/3.91 tff(13336,plain,
% 3.74/3.91 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13335, 13328])).
% 3.74/3.91 tff(13337,plain,
% 3.74/3.91 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[1724, 13336, 13326])).
% 3.74/3.91 tff(13338,plain,
% 3.74/3.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(13339,plain,
% 3.74/3.91 (((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(13340,plain,
% 3.74/3.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13339])).
% 3.74/3.91 tff(13341,plain,
% 3.74/3.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[13340, 13338])).
% 3.74/3.91 tff(13342,plain,
% 3.74/3.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(13343,plain,
% 3.74/3.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13342, 13341])).
% 3.74/3.91 tff(13344,plain,
% 3.74/3.91 (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13343, 82, 5281, 6095])).
% 3.74/3.91 tff(13345,plain,
% 3.74/3.91 (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13344, 5993])).
% 3.74/3.91 tff(13346,plain,
% 3.74/3.91 (b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6010, 13345, 6006])).
% 3.74/3.91 tff(13347,plain,
% 3.74/3.91 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13346, 8033])).
% 3.74/3.91 tff(13348,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[2823])).
% 3.74/3.91 tff(13349,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(symmetry,[status(thm)],[13348])).
% 3.74/3.91 tff(13350,plain,
% 3.74/3.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(13351,plain,
% 3.74/3.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(13352,plain,
% 3.74/3.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13351, 13350])).
% 3.74/3.91 tff(13353,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13352, 82, 5281, 6095])).
% 3.74/3.91 tff(13354,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13353, 6015])).
% 3.74/3.91 tff(13355,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6024, 13354])).
% 3.74/3.91 tff(13356,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13355, 13349])).
% 3.74/3.91 tff(13357,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6070, 338, 2302, 2301, 6210, 13356, 13347])).
% 3.74/3.91 tff(13358,plain,((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~(z = elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(13359,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13358, 13337, 7556, 13288, 13261, 13316])).
% 3.74/3.91 tff(13360,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6151, 13359, 13313])).
% 3.74/3.91 tff(13361,plain,
% 3.74/3.91 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7966, 13261, 13278, 13286, 13282, 13360, 13308])).
% 3.74/3.91 tff(13362,plain,
% 3.74/3.91 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6226, 13361, 13273])).
% 3.74/3.91 tff(13363,plain,
% 3.74/3.91 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7986, 13362, 13306, 13288, 6387])).
% 3.74/3.91 tff(13364,plain,
% 3.74/3.91 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13363, 13267])).
% 3.74/3.91 tff(13365,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13265])).
% 3.74/3.91 tff(13366,plain,
% 3.74/3.91 ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13365])).
% 3.74/3.91 tff(13367,plain,
% 3.74/3.91 (s(elem!1) = s(z)),
% 3.74/3.91 inference(symmetry,[status(thm)],[13262])).
% 3.74/3.91 tff(13368,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1)) <=> r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13367])).
% 3.74/3.91 tff(13369,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(elem!1)))))), s(z)) <=> r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.74/3.91 inference(symmetry,[status(thm)],[13368])).
% 3.74/3.91 tff(13370,plain,
% 3.74/3.91 (~(s(s(s(s(s(s(elem!1)))))) = s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7317, 13261])).
% 3.74/3.91 tff(13371,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) <=> b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13367])).
% 3.74/3.91 tff(13372,plain,
% 3.74/3.91 ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) <=> (~b(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13371])).
% 3.74/3.91 tff(13373,plain,
% 3.74/3.91 (~r(elem!1, s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[2802, 13284, 2793])).
% 3.74/3.91 tff(13374,plain,
% 3.74/3.91 (b(elem!1, s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[1946, 13373, 13110])).
% 3.74/3.91 tff(13375,plain,
% 3.74/3.91 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7824, 13337, 6387, 7556, 13306])).
% 3.74/3.91 tff(13376,plain,
% 3.74/3.91 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[1562, 13375, 1475])).
% 3.74/3.91 tff(13377,assumption,(~b(elem!1, s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.74/3.91 tff(13378,assumption,(s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))), introduced(assumption)).
% 3.74/3.91 tff(13379,plain,
% 3.74/3.91 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 3.74/3.91 inference(transitivity,[status(thm)],[13378, 2808])).
% 3.74/3.91 tff(13380,plain,
% 3.74/3.91 (b(elem!1, s(s(s(s(s(s(elem!1))))))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13379])).
% 3.74/3.91 tff(13381,plain,
% 3.74/3.91 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(symmetry,[status(thm)],[13380])).
% 3.74/3.91 tff(13382,plain,
% 3.74/3.91 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[1929, 13381])).
% 3.74/3.91 tff(13383,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13377, 13382])).
% 3.74/3.91 tff(13384,plain,((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))) | b(elem!1, s(s(s(s(s(s(elem!1))))))) | (~b(elem!1, s(s(s(elem!1))))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(13385,plain,
% 3.74/3.91 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13384, 13377, 1929, 703])).
% 3.74/3.91 tff(13386,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[5753])).
% 3.74/3.91 tff(13387,plain,
% 3.74/3.91 ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) <=> (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13386])).
% 3.74/3.91 tff(13388,plain,
% 3.74/3.91 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6185, 13377, 6168])).
% 3.74/3.91 tff(13389,plain,
% 3.74/3.91 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6221, 13388, 254])).
% 3.74/3.91 tff(13390,plain,
% 3.74/3.91 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6226, 13389, 6044])).
% 3.74/3.91 tff(13391,plain,
% 3.74/3.91 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[6044, 13268])).
% 3.74/3.91 tff(13392,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6180, 13388, 279])).
% 3.74/3.91 tff(13393,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6063, 13392, 13391])).
% 3.74/3.91 tff(13394,plain,
% 3.74/3.91 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7986, 13393, 6386, 6387, 13390])).
% 3.74/3.91 tff(13395,plain,
% 3.74/3.91 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13394, 13387])).
% 3.74/3.91 tff(13396,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7998, 13395, 13385])).
% 3.74/3.91 tff(13397,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13396, 7877])).
% 3.74/3.91 tff(13398,plain,
% 3.74/3.91 ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6018, 82, 1548])).
% 3.74/3.91 tff(13399,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13398, 13397])).
% 3.74/3.91 tff(13400,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13399, 6015])).
% 3.74/3.91 tff(13401,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6024, 13400])).
% 3.74/3.91 tff(13402,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13401, 13349])).
% 3.74/3.91 tff(13403,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6235, 338, 2302, 2301, 13393, 13390, 13402])).
% 3.74/3.91 tff(13404,plain,(b(elem!1, s(s(s(s(s(s(elem!1))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~(z = elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(13405,plain,
% 3.74/3.91 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13404, 13376, 7556, 13261, 13337, 13306, 6387, 13276, 13308, 13374])).
% 3.74/3.91 tff(13406,plain,
% 3.74/3.91 (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[8027, 13282, 13286, 13405, 13360])).
% 3.74/3.91 tff(13407,plain,
% 3.74/3.91 (~b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13406, 13372])).
% 3.74/3.91 tff(13408,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6104, 13407, 13370])).
% 3.74/3.91 tff(13409,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13408, 13369])).
% 3.74/3.91 tff(13410,plain,
% 3.74/3.91 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13262])).
% 3.74/3.91 tff(13411,plain,
% 3.74/3.91 (r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[2588, 13410])).
% 3.74/3.91 tff(13412,plain,
% 3.74/3.91 ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[8155, 82, 13411])).
% 3.74/3.91 tff(13413,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13412, 13409])).
% 3.74/3.91 tff(13414,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13413, 13366])).
% 3.74/3.91 tff(13415,plain,
% 3.74/3.91 (s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7998, 13414, 13364])).
% 3.74/3.91 tff(13416,plain,
% 3.74/3.91 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 3.74/3.91 inference(transitivity,[status(thm)],[13415, 13264])).
% 3.74/3.91 tff(13417,plain,
% 3.74/3.91 (inj_0(s(s(s(s(s(s(elem!1))))))) = inj_0(s(s(s(elem!1))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13416])).
% 3.74/3.91 tff(13418,plain,
% 3.74/3.91 (inj_0(s(s(s(elem!1)))) = inj_0(s(s(s(s(s(s(elem!1)))))))),
% 3.74/3.91 inference(symmetry,[status(thm)],[13417])).
% 3.74/3.91 tff(13419,plain,
% 3.74/3.91 (s(s(elem!1)) = s(s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[205, 13418, 3177])).
% 3.74/3.91 tff(13420,plain,
% 3.74/3.91 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(s(elem!1))))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13419])).
% 3.74/3.91 tff(13421,plain,
% 3.74/3.91 (s(elem!1) = s(s(s(s(elem!1))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[182, 13420, 3175])).
% 3.74/3.91 tff(13422,plain,
% 3.74/3.91 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[1336, 13109])).
% 3.74/3.91 tff(13423,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13422, 13421])).
% 3.74/3.91 tff(13424,plain,(b(s(s(elem!1)), z) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | r(z, s(s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | b(s(z), s(elem!1)) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(13425,plain,
% 3.74/3.91 (~r(s(s(s(s(z)))), z)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13424, 13251, 1475, 1854, 2588, 721, 165, 2793, 6387, 3064, 229, 137, 3977, 177, 2065])).
% 3.74/3.91 tff(13426,plain,
% 3.74/3.91 (b(s(s(s(s(z)))), z)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[127, 13425])).
% 3.74/3.91 tff(13427,plain,
% 3.74/3.91 (~b(s(z), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[3204, 13426, 7558, 7554, 2911])).
% 3.74/3.91 tff(13428,plain,
% 3.74/3.91 (r(s(z), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[106, 13427])).
% 3.74/3.91 tff(13429,plain,
% 3.74/3.91 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[2959, 13428, 13167])).
% 3.74/3.91 tff(13430,plain,
% 3.74/3.91 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[689, 13429])).
% 3.74/3.91 tff(13431,plain,
% 3.74/3.91 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13430, 13250])).
% 3.74/3.91 tff(13432,plain,
% 3.74/3.91 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7536, 13431, 6387, 7556, 13190])).
% 3.74/3.91 tff(13433,plain,
% 3.74/3.91 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[1724, 13432, 13246])).
% 3.74/3.91 tff(13434,plain,
% 3.74/3.91 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[5975, 13433, 13239])).
% 3.74/3.91 tff(13435,plain,
% 3.74/3.91 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[2297, 13434, 13162])).
% 3.74/3.91 tff(13436,plain,
% 3.74/3.91 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[2856, 13426, 13144])).
% 3.74/3.91 tff(13437,plain,
% 3.74/3.91 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13145])).
% 3.74/3.91 tff(13438,plain,
% 3.74/3.91 (b(s(z), elem!1)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[3104, 13191, 7558])).
% 3.74/3.91 tff(13439,plain,
% 3.74/3.91 (b(s(elem!1), elem!1)),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13438, 13437])).
% 3.74/3.91 tff(13440,plain,
% 3.74/3.91 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13145])).
% 3.74/3.91 tff(13441,plain,
% 3.74/3.91 (b(z, s(z)) <=> b(elem!1, s(z))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13144])).
% 3.74/3.91 tff(13442,plain,
% 3.74/3.91 (b(elem!1, s(z))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[7554, 13441])).
% 3.74/3.91 tff(13443,plain,
% 3.74/3.91 (b(elem!1, s(elem!1))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13442, 13440])).
% 3.74/3.91 tff(13444,plain,
% 3.74/3.91 ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[7405, 338, 13443, 13439, 13436])).
% 3.74/3.91 tff(13445,plain,
% 3.74/3.91 (~b(s(s(s(s(elem!1)))), s(elem!1))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13444, 13435])).
% 3.74/3.91 tff(13446,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13445, 13158])).
% 3.74/3.91 tff(13447,plain,(b(s(z), s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | r(z, s(s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(13448,plain,
% 3.74/3.91 (b(s(z), s(elem!1))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13447, 1854, 2911, 1475, 6387, 2588, 721, 165, 2793, 229, 137, 3977, 177, 2065])).
% 3.74/3.91 tff(13449,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13448, 13137])).
% 3.74/3.91 tff(13450,plain,((~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(z))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | b(s(elem!1), s(z)) | (~b(s(s(s(s(z)))), s(z))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | r(z, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(13451,plain,
% 3.74/3.91 (~r(s(z), s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13450, 2065, 165, 229, 137, 3977, 177, 2588, 2911, 1475, 6387, 721, 2793])).
% 3.74/3.91 tff(13452,plain,
% 3.74/3.91 (b(s(z), s(s(s(elem!1))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[1870, 13451])).
% 3.74/3.91 tff(13453,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(13454,plain,
% 3.74/3.91 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(13455,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13454])).
% 3.74/3.91 tff(13456,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))),
% 3.74/3.91 inference(transitivity,[status(thm)],[13455, 13453])).
% 3.74/3.91 tff(13457,plain,
% 3.74/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(13458,plain,
% 3.74/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13457, 13456])).
% 3.74/3.91 tff(13459,plain,
% 3.74/3.91 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13458, 338, 2794, 6387, 7556, 7558, 13452])).
% 3.74/3.91 tff(13460,plain,
% 3.74/3.91 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(s(s(s(elem!1))))) | b(s(s(s(elem!1))), s(s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(s(s(s(elem!1))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(s(s(s(elem!1))))) | b(s(s(s(elem!1))), s(s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(s(s(s(elem!1))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(13461,plain,
% 3.74/3.91 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(elem!1))) = s(s(s(s(elem!1))))) | b(s(s(s(elem!1))), s(s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(s(s(s(elem!1))))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(13462,plain,
% 3.74/3.91 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(elem!1))) = s(s(s(s(elem!1))))) | b(s(s(s(elem!1))), s(s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13461, 13460])).
% 3.74/3.91 tff(13463,plain,
% 3.74/3.91 ((s(s(s(elem!1))) = s(s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13462, 21, 13459])).
% 3.74/3.91 tff(13464,plain,
% 3.74/3.91 (r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13463, 13131])).
% 3.74/3.91 tff(13465,plain,
% 3.74/3.91 (z = elem!1),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[6448, 13452, 7558, 2794, 165, 229, 137, 3977, 177, 2588, 2065])).
% 3.74/3.91 tff(13466,plain,
% 3.74/3.91 (s(z) = s(elem!1)),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13465])).
% 3.74/3.91 tff(13467,plain,
% 3.74/3.91 (s(s(z)) = s(s(elem!1))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13466])).
% 3.74/3.91 tff(13468,plain,
% 3.74/3.91 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13467])).
% 3.74/3.91 tff(13469,plain,
% 3.74/3.91 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13468])).
% 3.74/3.91 tff(13470,plain,
% 3.74/3.91 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13469])).
% 3.74/3.91 tff(13471,plain,
% 3.74/3.91 (r(z, s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13465])).
% 3.74/3.91 tff(13472,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(13473,plain,
% 3.74/3.91 (((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(13474,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[13473])).
% 3.74/3.91 tff(13475,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[13474, 13472])).
% 3.74/3.91 tff(13476,plain,
% 3.74/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(13477,plain,
% 3.74/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13476, 13475])).
% 3.74/3.91 tff(13478,plain,
% 3.74/3.91 (~b(z, s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[13477, 338, 2794, 7554, 7558, 13452, 2911])).
% 3.74/3.91 tff(13479,plain,
% 3.74/3.91 (r(z, s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[391, 13478])).
% 3.74/3.91 tff(13480,plain,
% 3.74/3.91 (r(elem!1, s(s(s(s(z)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13479, 13471])).
% 3.74/3.91 tff(13481,plain,
% 3.74/3.91 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[13480, 13470])).
% 3.74/3.91 tff(13482,plain,
% 3.74/3.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13483,plain,
% 3.74/3.92 (((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), elem!1))) <=> ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13484,plain,
% 3.74/3.92 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1))))))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13483])).
% 3.74/3.92 tff(13485,plain,
% 3.74/3.92 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13484, 13482])).
% 3.74/3.92 tff(13486,plain,
% 3.74/3.92 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), elem!1)))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(13487,plain,
% 3.74/3.92 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1))))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 3.74/3.92 tff(13488,plain,
% 3.74/3.92 (~r(s(s(s(elem!1))), elem!1)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13487, 82, 13481, 13464])).
% 3.74/3.92 tff(13489,plain,
% 3.74/3.92 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13466])).
% 3.74/3.92 tff(13490,plain,
% 3.74/3.92 (b(z, s(z)) <=> b(elem!1, s(z))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13465])).
% 3.74/3.92 tff(13491,plain,
% 3.74/3.92 (b(elem!1, s(z))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[7554, 13490])).
% 3.74/3.92 tff(13492,plain,
% 3.74/3.92 (b(elem!1, s(elem!1))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13491, 13489])).
% 3.74/3.92 tff(13493,plain,
% 3.74/3.92 (elem!1 = z),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[2752, 13465])).
% 3.74/3.92 tff(13494,plain,
% 3.74/3.92 (~r(elem!1, s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[2802, 13493, 2793])).
% 3.74/3.92 tff(13495,plain,
% 3.74/3.92 (b(elem!1, s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1946, 13494, 13110])).
% 3.74/3.92 tff(13496,plain,
% 3.74/3.92 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13466])).
% 3.74/3.92 tff(13497,plain,
% 3.74/3.92 (b(s(z), elem!1)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[3104, 13493, 7558])).
% 3.74/3.92 tff(13498,plain,
% 3.74/3.92 (b(s(elem!1), elem!1)),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13497, 13496])).
% 3.74/3.92 tff(13499,plain,
% 3.74/3.92 (b(s(z), s(s(s(elem!1)))) <=> b(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13466])).
% 3.74/3.92 tff(13500,plain,
% 3.74/3.92 (b(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13452, 13499])).
% 3.74/3.92 tff(13501,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13502,plain,
% 3.74/3.92 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13503,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13502])).
% 3.74/3.92 tff(13504,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13503, 13501])).
% 3.74/3.92 tff(13505,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(13506,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13505, 13504])).
% 3.74/3.92 tff(13507,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13506, 338, 1929, 2636, 1564, 315, 314])).
% 3.74/3.92 tff(13508,plain,((~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(13509,plain,
% 3.74/3.92 (~b(s(s(s(elem!1))), elem!1)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13508, 13500, 13498, 13495, 13492])).
% 3.74/3.92 tff(13510,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[2162, 13509, 13488, 13109])).
% 3.74/3.92 tff(13511,plain,(b(s(elem!1), s(z)) | r(z, s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | (~r(s(s(s(elem!1))), s(z))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(13512,plain,
% 3.74/3.92 (~b(s(s(s(s(z)))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13511, 13102, 165, 229, 137, 3977, 177, 2588, 1475, 2793, 6387, 12172])).
% 3.74/3.92 tff(13513,plain,
% 3.74/3.92 (r(s(s(s(s(z)))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[119, 13512])).
% 3.74/3.92 tff(13514,plain,
% 3.74/3.92 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13118, 13104])).
% 3.74/3.92 tff(13515,plain,
% 3.74/3.92 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(z))), s(z))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13514])).
% 3.74/3.92 tff(13516,plain,
% 3.74/3.92 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13104])).
% 3.74/3.92 tff(13517,plain,
% 3.74/3.92 (r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[2588, 13516])).
% 3.74/3.92 tff(13518,plain,
% 3.74/3.92 (r(s(s(s(z))), s(z))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13517, 13515])).
% 3.74/3.92 tff(13519,plain,
% 3.74/3.92 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[3708, 13518, 13513])).
% 3.74/3.92 tff(13520,plain,
% 3.74/3.92 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[689, 13519])).
% 3.74/3.92 tff(13521,plain,
% 3.74/3.92 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13520, 13127])).
% 3.74/3.92 tff(13522,plain,
% 3.74/3.92 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[7493, 13027, 12172, 165])).
% 3.74/3.92 tff(13523,plain,
% 3.74/3.92 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1651, 2119, 13522])).
% 3.74/3.92 tff(13524,plain,
% 3.74/3.92 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13119, 13104])).
% 3.74/3.92 tff(13525,plain,
% 3.74/3.92 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13513, 13524])).
% 3.74/3.92 tff(13526,plain,
% 3.74/3.92 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13527,plain,
% 3.74/3.92 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(13528,plain,
% 3.74/3.92 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13527, 13526])).
% 3.74/3.92 tff(13529,plain,
% 3.74/3.92 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13528, 82, 13517, 13525])).
% 3.74/3.92 tff(13530,plain,
% 3.74/3.92 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1562, 13529, 1475])).
% 3.74/3.92 tff(13531,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13532,plain,
% 3.74/3.92 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13533,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13532])).
% 3.74/3.92 tff(13534,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13533, 13531])).
% 3.74/3.92 tff(13535,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(13536,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13535, 13534])).
% 3.74/3.92 tff(13537,plain,
% 3.74/3.92 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13536, 338, 13113, 6387, 13530, 13523, 13521])).
% 3.74/3.92 tff(13538,plain,
% 3.74/3.92 (~b(s(s(s(s(z)))), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[2856, 13537, 13103])).
% 3.74/3.92 tff(13539,plain,
% 3.74/3.92 (r(s(s(s(s(z)))), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[127, 13538])).
% 3.74/3.92 tff(13540,plain,
% 3.74/3.92 (r(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13539, 13122])).
% 3.74/3.92 tff(13541,plain,
% 3.74/3.92 (z = elem!1),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[6451, 137, 2794, 165, 229, 7558, 3977, 177, 2588, 2065])).
% 3.74/3.92 tff(13542,plain,
% 3.74/3.92 (s(z) = s(elem!1)),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13541])).
% 3.74/3.92 tff(13543,plain,
% 3.74/3.92 (s(s(z)) = s(s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13542])).
% 3.74/3.92 tff(13544,plain,
% 3.74/3.92 (b(s(s(z)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13543])).
% 3.74/3.92 tff(13545,plain,
% 3.74/3.92 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13544])).
% 3.74/3.92 tff(13546,plain,
% 3.74/3.92 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13543])).
% 3.74/3.92 tff(13547,plain,
% 3.74/3.92 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13546])).
% 3.74/3.92 tff(13548,plain,
% 3.74/3.92 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13547])).
% 3.74/3.92 tff(13549,plain,
% 3.74/3.92 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13548])).
% 3.74/3.92 tff(13550,plain,
% 3.74/3.92 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13549, 13545])).
% 3.74/3.92 tff(13551,plain,
% 3.74/3.92 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13547])).
% 3.74/3.92 tff(13552,plain,
% 3.74/3.92 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(elem!1)) = s(s(s(s(elem!1))))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13551])).
% 3.74/3.92 tff(13553,plain,
% 3.74/3.92 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13543])).
% 3.74/3.92 tff(13554,plain,
% 3.74/3.92 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13553, 4380])).
% 3.74/3.92 tff(13555,plain,
% 3.74/3.92 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(s(s(z))))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13554])).
% 3.74/3.92 tff(13556,plain,
% 3.74/3.92 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[60, 13555])).
% 3.74/3.92 tff(13557,plain,
% 3.74/3.92 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13556, 13552])).
% 3.74/3.92 tff(13558,plain,
% 3.74/3.92 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13541])).
% 3.74/3.92 tff(13559,plain,
% 3.74/3.92 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13558, 2831])).
% 3.74/3.92 tff(13560,plain,
% 3.74/3.92 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13559])).
% 3.74/3.92 tff(13561,plain,
% 3.74/3.92 (~(elem!1 = s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[1633, 13560])).
% 3.74/3.92 tff(13562,plain,
% 3.74/3.92 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13548])).
% 3.74/3.92 tff(13563,plain,
% 3.74/3.92 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13562])).
% 3.74/3.92 tff(13564,plain,
% 3.74/3.92 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13546])).
% 3.74/3.92 tff(13565,plain,
% 3.74/3.92 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13564, 13563])).
% 3.74/3.92 tff(13566,plain,
% 3.74/3.92 (~b(s(s(s(s(z)))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13511, 2065, 165, 229, 137, 3977, 177, 2588, 1475, 2793, 6387, 721])).
% 3.74/3.92 tff(13567,plain,
% 3.74/3.92 (r(s(s(s(s(z)))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[119, 13566])).
% 3.74/3.92 tff(13568,plain,
% 3.74/3.92 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13546, 13542])).
% 3.74/3.92 tff(13569,plain,
% 3.74/3.92 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(z))), s(z))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13568])).
% 3.74/3.92 tff(13570,plain,
% 3.74/3.92 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13542])).
% 3.74/3.92 tff(13571,plain,
% 3.74/3.92 (r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[2588, 13570])).
% 3.74/3.92 tff(13572,plain,
% 3.74/3.92 (r(s(s(s(z))), s(z))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13571, 13569])).
% 3.74/3.92 tff(13573,plain,
% 3.74/3.92 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[3708, 13572, 13567])).
% 3.74/3.92 tff(13574,plain,
% 3.74/3.92 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[689, 13573])).
% 3.74/3.92 tff(13575,plain,
% 3.74/3.92 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13574, 13565])).
% 3.74/3.92 tff(13576,plain,
% 3.74/3.92 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13547, 13542])).
% 3.74/3.92 tff(13577,plain,
% 3.74/3.92 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13567, 13576])).
% 3.74/3.92 tff(13578,plain,
% 3.74/3.92 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13528, 82, 13571, 13577])).
% 3.74/3.92 tff(13579,plain,
% 3.74/3.92 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1562, 13578, 1475])).
% 3.74/3.92 tff(13580,plain,
% 3.74/3.92 (elem!1 = z),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[2752, 13541])).
% 3.74/3.92 tff(13581,plain,
% 3.74/3.92 (~r(elem!1, s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[2802, 13580, 2793])).
% 3.74/3.92 tff(13582,plain,
% 3.74/3.92 (b(elem!1, s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1946, 13581, 13110])).
% 3.74/3.92 tff(13583,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13584,plain,
% 3.74/3.92 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1))))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(13585,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13584])).
% 3.74/3.92 tff(13586,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13585, 13583])).
% 3.74/3.92 tff(13587,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(13588,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13587, 13586])).
% 3.74/3.92 tff(13589,plain,
% 3.74/3.92 (~b(elem!1, s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13588, 338, 13582, 6387, 13579, 7556, 13575])).
% 3.74/3.92 tff(13590,plain,
% 3.74/3.92 (r(elem!1, s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[2297, 13589, 13561])).
% 3.74/3.92 tff(13591,plain,
% 3.74/3.92 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[5975, 8886, 13590])).
% 3.74/3.92 tff(13592,plain,
% 3.74/3.92 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1724, 13591, 13557])).
% 3.74/3.92 tff(13593,plain,
% 3.74/3.92 (b(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13592, 13550])).
% 3.74/3.92 tff(13594,plain,
% 3.74/3.92 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[5747, 13578, 13541])).
% 3.74/3.92 tff(13595,plain,
% 3.74/3.92 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1011, 13594])).
% 3.74/3.92 tff(13596,plain,
% 3.74/3.92 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13543])).
% 3.74/3.92 tff(13597,plain,
% 3.74/3.92 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13596])).
% 3.74/3.92 tff(13598,plain,
% 3.74/3.92 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13548])).
% 3.74/3.92 tff(13599,plain,
% 3.74/3.92 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13598, 13597])).
% 3.74/3.92 tff(13600,plain,
% 3.74/3.92 (b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[7556, 13599])).
% 3.74/3.92 tff(13601,plain,
% 3.74/3.92 (r(s(z), s(s(z))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13542, 13543])).
% 3.74/3.92 tff(13602,plain,
% 3.74/3.92 (r(s(elem!1), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13601])).
% 3.74/3.92 tff(13603,plain,
% 3.74/3.92 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13542])).
% 3.74/3.92 tff(13604,plain,
% 3.74/3.92 (r(s(elem!1), s(s(elem!1)))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[721, 13603])).
% 3.74/3.92 tff(13605,plain,
% 3.74/3.92 (r(s(z), s(s(z)))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13604, 13602])).
% 3.74/3.92 tff(13606,plain,
% 3.74/3.92 (b(s(z), s(elem!1)) <=> b(s(elem!1), s(elem!1))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13542])).
% 3.74/3.92 tff(13607,plain,
% 3.74/3.92 (b(s(elem!1), s(elem!1)) <=> b(s(z), s(elem!1))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13606])).
% 3.74/3.92 tff(13608,plain,
% 3.74/3.92 ((~b(s(elem!1), s(elem!1))) <=> (~b(s(z), s(elem!1)))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13607])).
% 3.74/3.92 tff(13609,plain,
% 3.74/3.92 (~b(s(z), s(elem!1))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13098, 13608])).
% 3.74/3.92 tff(13610,plain,
% 3.74/3.92 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13536, 338, 13582, 6387, 13579, 7556, 13575])).
% 3.74/3.92 tff(13611,plain,
% 3.74/3.92 (~b(s(s(s(s(z)))), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[2856, 13610, 13541])).
% 3.74/3.92 tff(13612,plain,
% 3.74/3.92 (r(s(s(s(s(z)))), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[127, 13611])).
% 3.74/3.92 tff(13613,plain,
% 3.74/3.92 (~b(s(s(elem!1)), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[5940, 3306, 13580])).
% 3.74/3.92 tff(13614,plain,
% 3.74/3.92 (~r(s(z), s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[13424, 13613, 1475, 13612, 2588, 721, 165, 2793, 6387, 13609, 229, 137, 3977, 177, 2065])).
% 3.74/3.92 tff(13615,plain,
% 3.74/3.92 (b(s(z), s(s(s(elem!1))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1870, 13614])).
% 3.74/3.92 tff(13616,plain,
% 3.74/3.92 (b(z, s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13541])).
% 3.74/3.92 tff(13617,plain,
% 3.74/3.92 (b(elem!1, s(s(s(z)))) <=> b(z, s(s(s(z))))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13616])).
% 3.74/3.92 tff(13618,plain,
% 3.74/3.92 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(s(elem!1))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[13546])).
% 3.74/3.92 tff(13619,plain,
% 3.74/3.92 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(z))))),
% 3.74/3.92 inference(symmetry,[status(thm)],[13618])).
% 3.74/3.92 tff(13620,plain,
% 3.74/3.92 (b(elem!1, s(s(s(elem!1)))) <=> b(z, s(s(s(z))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[13619, 13617])).
% 3.74/3.92 tff(13621,plain,
% 3.74/3.92 (b(z, s(s(s(z))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[13582, 13620])).
% 3.74/3.92 tff(13622,plain,
% 3.74/3.92 (r(s(s(elem!1)), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[800, 13613])).
% 3.74/3.93 tff(13623,plain,
% 3.74/3.93 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[7536, 13592, 6387, 7556, 13575])).
% 3.74/3.93 tff(13624,plain,
% 3.74/3.93 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[2619, 13623, 2614])).
% 3.74/3.93 tff(13625,plain,
% 3.74/3.93 (~r(s(s(s(elem!1))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[8996, 13624, 13622])).
% 3.74/3.93 tff(13626,plain,
% 3.74/3.93 (b(s(s(s(elem!1))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1387, 13625])).
% 3.74/3.93 tff(13627,plain,
% 3.74/3.93 (~b(s(z), s(s(s(z))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10715, 13626, 13621, 13615, 7558, 7554])).
% 3.74/3.93 tff(13628,plain,
% 3.74/3.93 (r(s(z), s(s(s(z))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[424, 13627])).
% 3.74/3.93 tff(13629,plain,
% 3.74/3.93 (~r(s(s(z)), s(s(s(z))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13187, 13628, 13605])).
% 3.74/3.93 tff(13630,plain,
% 3.74/3.93 (b(s(s(z)), s(s(s(z))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[534, 13629])).
% 3.74/3.93 tff(13631,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(13632,plain,
% 3.74/3.93 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(13633,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13632])).
% 3.74/3.93 tff(13634,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[13633, 13631])).
% 3.74/3.93 tff(13635,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(13636,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 3.74/3.93 tff(13637,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13636, 338, 476, 987, 539, 540, 600])).
% 3.74/3.93 tff(13638,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(13639,plain,
% 3.74/3.93 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13638, 13630, 13600, 13574, 13595])).
% 3.74/3.93 tff(13640,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13639, 13593])).
% 3.74/3.93 tff(13641,plain,(b(s(s(elem!1)), elem!1) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | r(z, s(s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(elem!1, z) | b(z, elem!1) | b(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(13642,plain,
% 3.74/3.93 (b(s(s(elem!1)), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13641, 137, 6387, 1475, 2588, 12172, 165, 2793, 229, 2614, 3977, 177, 13102])).
% 3.74/3.93 tff(13643,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(13644,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(13645,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13644, 13643])).
% 3.74/3.93 tff(13646,plain,
% 3.74/3.93 (~b(s(s(elem!1)), s(elem!1))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13645, 338, 13642, 6387, 13530, 13523, 13116])).
% 3.74/3.93 tff(13647,plain,
% 3.74/3.93 (r(s(s(elem!1)), s(elem!1))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[277, 13646, 229])).
% 3.74/3.93 tff(13648,plain,
% 3.74/3.93 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[6302, 13647, 13517])).
% 3.74/3.93 tff(13649,plain,
% 3.74/3.93 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[2619, 13648, 2614])).
% 3.74/3.93 tff(13650,plain,
% 3.74/3.93 (~r(s(s(s(elem!1))), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[7390, 13649, 6387, 13523, 13103, 1475, 13540])).
% 3.74/3.93 tff(13651,plain,
% 3.74/3.93 (b(s(s(s(elem!1))), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[2162, 13650, 13109])).
% 3.74/3.93 tff(13652,plain,
% 3.74/3.93 (r(s(z), s(s(z))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13104, 13117])).
% 3.74/3.93 tff(13653,plain,
% 3.74/3.93 (r(s(elem!1), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 3.74/3.93 inference(symmetry,[status(thm)],[13652])).
% 3.74/3.93 tff(13654,plain,
% 3.74/3.93 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13104])).
% 3.74/3.93 tff(13655,plain,
% 3.74/3.93 (r(s(elem!1), s(s(elem!1)))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[12172, 13654])).
% 3.74/3.93 tff(13656,plain,
% 3.74/3.93 (r(s(z), s(s(z)))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13655, 13653])).
% 3.74/3.93 tff(13657,plain,
% 3.74/3.93 (~r(s(z), s(s(s(z))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[7693, 13649, 6387, 13513, 13103, 13656, 13518])).
% 3.74/3.93 tff(13658,plain,
% 3.74/3.93 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[4520, 13657, 13111])).
% 3.74/3.93 tff(13659,plain,
% 3.74/3.93 (b(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1515, 13658, 210])).
% 3.74/3.93 tff(13660,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13508, 13659, 13651, 13116, 13113, 13108])).
% 3.74/3.93 tff(13661,plain,((elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (~r(s(s(s(elem!1))), s(z))) | (~r(z, s(s(elem!1)))) | r(z, s(s(s(elem!1)))) | b(elem!1, z) | b(z, elem!1) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(13662,plain,
% 3.74/3.93 (elem!1 = s(s(elem!1))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13661, 13025, 13024, 13023, 13022, 2588, 162, 2793, 3977, 177, 12171])).
% 3.74/3.93 tff(13663,plain,
% 3.74/3.93 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13664,plain,
% 3.74/3.93 (s(s(elem!1)) = elem!1),
% 3.74/3.93 inference(symmetry,[status(thm)],[13662])).
% 3.74/3.93 tff(13665,plain,
% 3.74/3.93 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13664])).
% 3.74/3.93 tff(13666,plain,
% 3.74/3.93 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13665])).
% 3.74/3.93 tff(13667,plain,
% 3.74/3.93 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3236, 13662])).
% 3.74/3.93 tff(13668,plain,
% 3.74/3.93 (~(elem!1 = s(s(s(s(z)))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13667, 13666])).
% 3.74/3.93 tff(13669,plain,
% 3.74/3.93 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13664])).
% 3.74/3.93 tff(13670,plain,
% 3.74/3.93 ((~r(s(s(elem!1)), s(s(s(s(z)))))) <=> (~r(elem!1, s(s(s(s(z))))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13669])).
% 3.74/3.93 tff(13671,plain,
% 3.74/3.93 (s(s(elem!1)) = elem!1),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[2015, 13662])).
% 3.74/3.93 tff(13672,plain,
% 3.74/3.93 (b(s(z), s(s(elem!1))) <=> b(s(z), elem!1)),
% 3.74/3.93 inference(monotonicity,[status(thm)],[193])).
% 3.74/3.93 tff(13673,plain,
% 3.74/3.93 (b(s(z), elem!1) <=> b(s(z), s(s(elem!1)))),
% 3.74/3.93 inference(symmetry,[status(thm)],[13672])).
% 3.74/3.93 tff(13674,plain,
% 3.74/3.93 (~(s(z) = elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[873, 10484])).
% 3.74/3.93 tff(13675,plain,
% 3.74/3.93 (b(s(z), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[701, 13674, 176])).
% 3.74/3.93 tff(13676,plain,
% 3.74/3.93 (b(s(z), s(s(elem!1)))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13675, 13673])).
% 3.74/3.93 tff(13677,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[12171, 13676])).
% 3.74/3.93 tff(13678,plain,((~(s(s(elem!1)) = elem!1)) | b(s(z), s(s(elem!1))) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(13679,plain,
% 3.74/3.93 (r(s(z), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13678, 13671, 12171])).
% 3.74/3.93 tff(13680,plain,
% 3.74/3.93 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13681,plain,
% 3.74/3.93 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = elem!1)),
% 3.74/3.93 inference(symmetry,[status(thm)],[13680])).
% 3.74/3.93 tff(13682,plain,
% 3.74/3.93 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(z))) = elem!1))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13681])).
% 3.74/3.93 tff(13683,plain,
% 3.74/3.93 (s(s(s(elem!1))) = s(elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1418, 13662])).
% 3.74/3.93 tff(13684,plain,
% 3.74/3.93 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1428, 13683])).
% 3.74/3.93 tff(13685,plain,
% 3.74/3.93 (~(s(s(s(z))) = elem!1)),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13684, 13682])).
% 3.74/3.93 tff(13686,plain,
% 3.74/3.93 (r(z, elem!1) <=> r(z, s(s(elem!1)))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13687,plain,
% 3.74/3.93 (r(z, s(s(elem!1))) <=> r(z, elem!1)),
% 3.74/3.93 inference(symmetry,[status(thm)],[13686])).
% 3.74/3.93 tff(13688,plain,
% 3.74/3.93 (r(z, elem!1)),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[162, 13687])).
% 3.74/3.93 tff(13689,plain,
% 3.74/3.93 (~r(s(s(s(z))), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3164, 13688, 13679])).
% 3.74/3.93 tff(13690,plain,
% 3.74/3.93 (b(s(s(s(z))), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1110, 13689, 13685])).
% 3.74/3.93 tff(13691,plain,
% 3.74/3.93 (~r(z, s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[4588, 162, 12172])).
% 3.74/3.93 tff(13692,plain,
% 3.74/3.93 (b(z, s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[403, 13691])).
% 3.74/3.93 tff(13693,plain,
% 3.74/3.93 (~r(s(z), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[729, 162, 12172])).
% 3.74/3.93 tff(13694,plain,
% 3.74/3.93 (b(s(z), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[26, 13693])).
% 3.74/3.93 tff(13695,plain,
% 3.74/3.93 (r(s(s(s(elem!1))), s(z)) <=> r(s(elem!1), s(z))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13683])).
% 3.74/3.93 tff(13696,plain,
% 3.74/3.93 (r(s(elem!1), s(z))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[2588, 13695])).
% 3.74/3.93 tff(13697,plain,
% 3.74/3.93 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13683])).
% 3.74/3.93 tff(13698,plain,
% 3.74/3.93 (b(s(elem!1), s(s(elem!1)))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13025, 13697])).
% 3.74/3.93 tff(13699,plain,
% 3.74/3.93 (b(z, s(s(s(elem!1)))) <=> b(z, s(elem!1))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13683])).
% 3.74/3.93 tff(13700,plain,
% 3.74/3.93 (b(z, s(elem!1))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[2794, 13699])).
% 3.74/3.93 tff(13701,plain,
% 3.74/3.93 (b(elem!1, z) <=> b(s(s(elem!1)), z)),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13702,plain,
% 3.74/3.93 ((~b(elem!1, z)) <=> (~b(s(s(elem!1)), z))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13701])).
% 3.74/3.93 tff(13703,plain,
% 3.74/3.93 (~b(s(s(elem!1)), z)),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[3977, 13702])).
% 3.74/3.93 tff(13704,plain,
% 3.74/3.93 (r(s(s(elem!1)), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[798, 21, 155, 13703])).
% 3.74/3.93 tff(13705,plain,
% 3.74/3.93 (b(s(s(s(elem!1))), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[8982, 13662, 13025])).
% 3.74/3.93 tff(13706,plain,
% 3.74/3.93 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[3208])).
% 3.74/3.93 tff(13707,plain,
% 3.74/3.93 (r(elem!1, s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.93 inference(symmetry,[status(thm)],[13706])).
% 3.74/3.93 tff(13708,plain,
% 3.74/3.93 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.74/3.93 inference(transitivity,[status(thm)],[3209, 1058])).
% 3.74/3.93 tff(13709,plain,
% 3.74/3.93 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13708])).
% 3.74/3.93 tff(13710,plain,
% 3.74/3.93 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[3237, 13709])).
% 3.74/3.93 tff(13711,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1144, 5486, 13710])).
% 3.74/3.93 tff(13712,plain,
% 3.74/3.93 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1431, 1414])).
% 3.74/3.93 tff(13713,plain,
% 3.74/3.93 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[3364])).
% 3.74/3.93 tff(13714,plain,
% 3.74/3.93 ((~r(s(s(s(s(z)))), s(elem!1))) <=> (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13713])).
% 3.74/3.93 tff(13715,plain,
% 3.74/3.93 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[4907, 13714])).
% 3.74/3.93 tff(13716,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3768, 13715, 13712])).
% 3.74/3.93 tff(13717,plain,
% 3.74/3.93 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[3364])).
% 3.74/3.93 tff(13718,plain,
% 3.74/3.93 ((s(elem!1) = s(s(s(s(z))))) <=> (s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[3364])).
% 3.74/3.93 tff(13719,plain,
% 3.74/3.93 ((s(elem!1) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[13718, 3719])).
% 3.74/3.93 tff(13720,plain,
% 3.74/3.93 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 3.74/3.93 inference(symmetry,[status(thm)],[13719])).
% 3.74/3.93 tff(13721,plain,
% 3.74/3.93 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13720])).
% 3.74/3.93 tff(13722,plain,
% 3.74/3.93 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13712, 13721])).
% 3.74/3.93 tff(13723,plain,
% 3.74/3.93 ((s(elem!1) = s(s(s(s(z))))) | b(s(elem!1), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3668, 21, 4899])).
% 3.74/3.93 tff(13724,plain,
% 3.74/3.93 (b(s(elem!1), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13723, 13722])).
% 3.74/3.93 tff(13725,plain,
% 3.74/3.93 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13724, 13717])).
% 3.74/3.93 tff(13726,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(13727,plain,
% 3.74/3.93 (((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(13728,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13727])).
% 3.74/3.93 tff(13729,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[13728, 13726])).
% 3.74/3.93 tff(13730,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(13731,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13730, 13729])).
% 3.74/3.93 tff(13732,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13731, 338, 2636, 3918, 1130, 3771, 3770])).
% 3.74/3.93 tff(13733,plain,((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(13734,plain,
% 3.74/3.93 (~b(elem!1, s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13733, 13725, 2636, 13716, 13711])).
% 3.74/3.93 tff(13735,plain,
% 3.74/3.93 (r(elem!1, s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1094, 13734, 3238])).
% 3.74/3.93 tff(13736,plain,
% 3.74/3.93 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13735, 13707])).
% 3.74/3.93 tff(13737,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), s(elem!1))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10885, 13716, 1419])).
% 3.74/3.93 tff(13738,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3464, 13711, 1414])).
% 3.74/3.93 tff(13739,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(13740,plain,
% 3.74/3.93 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(13741,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z))))))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13740])).
% 3.74/3.93 tff(13742,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[13741, 13739])).
% 3.74/3.93 tff(13743,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(13744,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z))))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13743, 13742])).
% 3.74/3.93 tff(13745,plain,
% 3.74/3.93 ((~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13744, 338, 1597, 1620, 13738, 13737])).
% 3.74/3.93 tff(13746,plain,
% 3.74/3.93 (~b(s(s(s(s(z)))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13745, 13724])).
% 3.74/3.93 tff(13747,plain,
% 3.74/3.93 (r(s(s(s(s(z)))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[127, 13746])).
% 3.74/3.93 tff(13748,plain,
% 3.74/3.93 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13334, 82, 787, 13747])).
% 3.74/3.93 tff(13749,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13748, 13736])).
% 3.74/3.93 tff(13750,plain,((~r(s(s(s(s(z)))), s(z))) | (~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(13751,plain,
% 3.74/3.93 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13750, 13662, 13705, 13704, 13700, 13698, 13696, 13679])).
% 3.74/3.93 tff(13752,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[119, 13751])).
% 3.74/3.93 tff(13753,plain,
% 3.74/3.93 (~b(s(s(s(s(z)))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3284, 13752, 13694, 13692, 13690, 13662, 13679])).
% 3.74/3.93 tff(13754,plain,
% 3.74/3.93 (r(s(s(s(s(z)))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[127, 13753])).
% 3.74/3.93 tff(13755,plain,
% 3.74/3.93 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13334, 82, 13704, 13754])).
% 3.74/3.93 tff(13756,plain,
% 3.74/3.93 (~r(elem!1, s(s(s(s(z)))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13755, 13670])).
% 3.74/3.93 tff(13757,plain,
% 3.74/3.93 (b(elem!1, s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1094, 13756, 13668])).
% 3.74/3.93 tff(13758,plain,
% 3.74/3.93 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13757, 13663])).
% 3.74/3.93 tff(13759,plain,
% 3.74/3.93 ((s(s(s(z))) = s(s(elem!1))) <=> (elem!1 = s(s(s(z))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[13681, 1052])).
% 3.74/3.93 tff(13760,plain,
% 3.74/3.93 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13759])).
% 3.74/3.93 tff(13761,plain,
% 3.74/3.93 (~(elem!1 = s(s(s(z))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13684, 13760])).
% 3.74/3.93 tff(13762,plain,
% 3.74/3.93 ((z = elem!1) <=> (z = s(s(elem!1)))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13763,plain,
% 3.74/3.93 ((z = elem!1) <=> (s(s(elem!1)) = z)),
% 3.74/3.93 inference(transitivity,[status(thm)],[13762, 151])).
% 3.74/3.93 tff(13764,plain,
% 3.74/3.93 ((s(s(elem!1)) = z) <=> (z = elem!1)),
% 3.74/3.93 inference(symmetry,[status(thm)],[13763])).
% 3.74/3.93 tff(13765,plain,
% 3.74/3.93 ((s(s(elem!1)) = z) <=> (elem!1 = z)),
% 3.74/3.93 inference(transitivity,[status(thm)],[13764, 2749])).
% 3.74/3.93 tff(13766,plain,
% 3.74/3.93 ((~(s(s(elem!1)) = z)) <=> (~(elem!1 = z))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13765])).
% 3.74/3.93 tff(13767,plain,
% 3.74/3.93 (~(elem!1 = z)),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[155, 13766])).
% 3.74/3.93 tff(13768,plain,
% 3.74/3.93 (r(elem!1, z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[846, 13767, 3977])).
% 3.74/3.93 tff(13769,plain,
% 3.74/3.93 (~r(elem!1, s(s(s(z))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3408, 13688, 13679, 13768, 13694])).
% 3.74/3.93 tff(13770,plain,
% 3.74/3.93 (b(elem!1, s(s(s(z))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1160, 13769, 13761])).
% 3.74/3.93 tff(13771,plain,
% 3.74/3.93 (b(s(s(elem!1)), s(s(s(z))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3458, 13770, 13662])).
% 3.74/3.93 tff(13772,plain,
% 3.74/3.93 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.74/3.93 inference(transitivity,[status(thm)],[13665, 1058])).
% 3.74/3.93 tff(13773,plain,
% 3.74/3.93 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13772])).
% 3.74/3.93 tff(13774,plain,
% 3.74/3.93 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13667, 13773])).
% 3.74/3.93 tff(13775,plain,
% 3.74/3.93 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13776,plain,
% 3.74/3.93 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), elem!1)),
% 3.74/3.93 inference(symmetry,[status(thm)],[13775])).
% 3.74/3.93 tff(13777,plain,
% 3.74/3.93 ((~r(s(s(s(s(z)))), s(s(elem!1)))) <=> (~r(s(s(s(s(z)))), elem!1))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13776])).
% 3.74/3.93 tff(13778,plain,
% 3.74/3.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(13779,plain,
% 3.74/3.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(13780,plain,
% 3.74/3.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(elem!1))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13779, 13778])).
% 3.74/3.93 tff(13781,plain,
% 3.74/3.93 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13780, 82, 13704, 13754])).
% 3.74/3.93 tff(13782,plain,
% 3.74/3.93 (~r(s(s(s(s(z)))), elem!1)),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13781, 13777])).
% 3.74/3.93 tff(13783,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1144, 13782, 13774])).
% 3.74/3.93 tff(13784,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3464, 13783, 13662])).
% 3.74/3.93 tff(13785,plain,
% 3.74/3.93 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(s(elem!1)))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13786,plain,
% 3.74/3.93 (b(s(s(s(z))), s(s(elem!1)))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[13690, 13785])).
% 3.74/3.93 tff(13787,plain,
% 3.74/3.93 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3493, 13786, 13771, 13784, 13758])).
% 3.74/3.93 tff(13788,plain,
% 3.74/3.93 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[689, 13787])).
% 3.74/3.93 tff(13789,plain,
% 3.74/3.93 (~r(s(s(s(z))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[3603, 13788, 13754])).
% 3.74/3.93 tff(13790,plain,
% 3.74/3.93 (b(s(s(s(z))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[135, 13789])).
% 3.74/3.93 tff(13791,plain,
% 3.74/3.93 (r(elem!1, s(s(s(elem!1)))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13792,plain,
% 3.74/3.93 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.74/3.93 inference(symmetry,[status(thm)],[13791])).
% 3.74/3.93 tff(13793,plain,
% 3.74/3.93 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(elem!1)), s(elem!1))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13683])).
% 3.74/3.93 tff(13794,plain,
% 3.74/3.93 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.93 inference(symmetry,[status(thm)],[13793])).
% 3.74/3.93 tff(13795,plain,
% 3.74/3.93 (r(elem!1, s(elem!1)) <=> r(s(s(elem!1)), s(elem!1))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13662])).
% 3.74/3.93 tff(13796,plain,
% 3.74/3.93 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(s(elem!1))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[13795, 13794, 13792])).
% 3.74/3.93 tff(13797,plain,
% 3.74/3.93 ((~r(elem!1, s(elem!1))) <=> (~r(elem!1, s(s(s(elem!1)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13796])).
% 3.74/3.93 tff(13798,plain,
% 3.74/3.93 (r(s(z), s(s(s(elem!1)))) <=> r(s(z), s(elem!1))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[213])).
% 3.74/3.93 tff(13799,plain,
% 3.74/3.93 (r(s(z), s(elem!1)) <=> r(s(z), s(s(s(elem!1))))),
% 3.74/3.93 inference(symmetry,[status(thm)],[13798])).
% 3.74/3.93 tff(13800,plain,
% 3.74/3.93 ((~r(s(z), s(elem!1))) <=> (~r(s(z), s(s(s(elem!1)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[13799])).
% 3.74/3.93 tff(13801,plain,
% 3.74/3.93 (~r(s(z), s(s(s(elem!1))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[3063, 13800])).
% 3.74/3.93 tff(13802,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1854, 13801])).
% 3.74/3.93 tff(13803,plain,(r(s(z), s(elem!1)) | (~r(s(z), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(13804,plain,
% 3.74/3.93 (~r(s(z), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[13803, 4834, 213])).
% 3.74/3.93 tff(13805,plain,
% 3.74/3.93 (b(s(z), s(s(s(elem!1))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1870, 13804])).
% 3.74/3.94 tff(13806,plain,
% 3.74/3.94 (b(s(z), s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11130, 13805, 213])).
% 3.74/3.94 tff(13807,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4300, 338, 1597, 5189, 486, 1740, 13806])).
% 3.74/3.94 tff(13808,plain,((~r(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))) | (~b(s(z), z)) | (~(s(s(s(elem!1))) = s(elem!1))) | (~r(s(z), elem!1)) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13809,plain,
% 3.74/3.94 (~r(elem!1, s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13808, 13700, 13692, 13694, 13683, 13679, 13768])).
% 3.74/3.94 tff(13810,plain,
% 3.74/3.94 (~r(elem!1, s(s(s(elem!1))))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[13809, 13797])).
% 3.74/3.94 tff(13811,plain,
% 3.74/3.94 (b(elem!1, s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1946, 13810, 13110])).
% 3.74/3.94 tff(13812,plain,
% 3.74/3.94 (r(s(s(s(z))), s(elem!1)) <=> r(s(s(s(z))), s(s(s(elem!1))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[3622])).
% 3.74/3.94 tff(13813,plain,
% 3.74/3.94 (r(s(s(s(z))), s(s(s(elem!1)))) <=> r(s(s(s(z))), s(elem!1))),
% 3.74/3.94 inference(symmetry,[status(thm)],[13812])).
% 3.74/3.94 tff(13814,plain,
% 3.74/3.94 (~(s(s(s(z))) = s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10460, 213])).
% 3.74/3.94 tff(13815,plain,
% 3.74/3.94 (b(s(s(s(elem!1))), s(s(s(z))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4003, 3676, 213, 13814])).
% 3.74/3.94 tff(13816,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(13817,plain,
% 3.74/3.94 (((~b(s(s(s(z))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(z))), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(13818,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z)))))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13817])).
% 3.74/3.94 tff(13819,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 3.74/3.94 inference(transitivity,[status(thm)],[13818, 13816])).
% 3.74/3.94 tff(13820,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(z))), elem!1)))),
% 3.74/3.94 inference(quant_inst,[status(thm)],[])).
% 3.74/3.94 tff(13821,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z)))))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[13820, 13819])).
% 3.74/3.94 tff(13822,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13821, 338, 1929, 2636, 2380, 4011, 4012])).
% 3.74/3.94 tff(13823,plain,((~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13824,plain,
% 3.74/3.94 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13823, 13815, 2636, 1929, 2380])).
% 3.74/3.94 tff(13825,plain,
% 3.74/3.94 (r(s(s(s(z))), s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3784, 13824, 10458])).
% 3.74/3.94 tff(13826,plain,
% 3.74/3.94 (r(s(s(s(z))), s(elem!1))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[13825, 13813])).
% 3.74/3.94 tff(13827,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3685, 13826])).
% 3.74/3.94 tff(13828,plain,((~r(s(s(s(z))), s(z))) | (~(s(s(s(elem!1))) = s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(z))), elem!1)) | (~r(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13829,plain,
% 3.74/3.94 (~r(s(s(s(z))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13828, 13683, 13705, 13811, 13690, 13696])).
% 3.74/3.94 tff(13830,plain,
% 3.74/3.94 (b(s(s(s(z))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[437, 13829])).
% 3.74/3.94 tff(13831,plain,
% 3.74/3.94 (~b(z, s(s(s(z))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3607, 13830, 13694, 13790, 13692])).
% 3.74/3.94 tff(13832,plain,
% 3.74/3.94 (r(z, s(s(s(z))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[149, 13831])).
% 3.74/3.94 tff(13833,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1127, 13832, 13754])).
% 3.74/3.94 tff(13834,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1011, 13833])).
% 3.74/3.94 tff(13835,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(13836,plain,
% 3.74/3.94 (((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(13837,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13836])).
% 3.74/3.94 tff(13838,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/3.94 inference(transitivity,[status(thm)],[13837, 13835])).
% 3.74/3.94 tff(13839,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/3.94 inference(quant_inst,[status(thm)],[])).
% 3.74/3.94 tff(13840,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 3.74/3.94 tff(13841,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13840, 338, 13692, 13790, 13830, 13834, 13771, 13758])).
% 3.74/3.94 tff(13842,plain,(r(z, s(s(s(elem!1)))) | b(elem!1, z) | (~r(s(s(s(elem!1))), s(z))) | b(s(z), s(s(elem!1))) | b(z, elem!1) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13843,plain,
% 3.74/3.94 (~r(s(s(s(elem!1))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13842, 13020, 140, 12171, 12226, 12225])).
% 3.74/3.94 tff(13844,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1890, 13843, 12243, 234, 12228, 12227, 12222])).
% 3.74/3.94 tff(13845,plain,((~(s(s(s(s(z)))) = elem!1)) | (~r(z, elem!1)) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~b(s(s(elem!1)), elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | b(s(s(s(s(z)))), z) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13846,plain,
% 3.74/3.94 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13845, 72, 140, 12171, 6387, 12208, 762, 306, 763, 215, 12173, 234])).
% 3.74/3.94 tff(13847,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1144, 13846, 12207])).
% 3.74/3.94 tff(13848,plain,
% 3.74/3.94 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11385, 13847, 12206, 763, 762])).
% 3.74/3.94 tff(13849,plain,
% 3.74/3.94 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[368, 13848, 12183])).
% 3.74/3.94 tff(13850,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6953, 82, 12172, 72, 13849])).
% 3.74/3.94 tff(13851,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = elem!1) | (s(elem!1) = s(s(s(elem!1)))) | b(s(s(s(s(z)))), z) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13852,plain,
% 3.74/3.94 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13851, 12168, 12176, 140, 12171, 6387, 294, 210, 12173, 234, 2605])).
% 3.74/3.94 tff(13853,plain,
% 3.74/3.94 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[106, 13852])).
% 3.74/3.94 tff(13854,plain,
% 3.74/3.94 (~r(z, s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[272, 10433, 162])).
% 3.74/3.94 tff(13855,plain,
% 3.74/3.94 (b(z, s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1615, 13854])).
% 3.74/3.94 tff(13856,plain,
% 3.74/3.94 (~r(s(z), s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[8352, 10433, 12172])).
% 3.74/3.94 tff(13857,plain,
% 3.74/3.94 (b(s(z), s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3066, 13856, 12215])).
% 3.74/3.94 tff(13858,plain,
% 3.74/3.94 (~b(s(elem!1), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4302, 13857, 12180, 13855, 12178])).
% 3.74/3.94 tff(13859,plain,
% 3.74/3.94 (r(s(elem!1), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1812, 13858])).
% 3.74/3.94 tff(13860,plain,
% 3.74/3.94 (~r(s(elem!1), s(s(elem!1)))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1823, 13859, 162])).
% 3.74/3.94 tff(13861,plain,
% 3.74/3.94 (b(s(elem!1), s(s(elem!1)))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3081, 13860, 6853])).
% 3.74/3.94 tff(13862,plain,
% 3.74/3.94 (~r(s(elem!1), elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4304, 13857, 234, 12178, 12180])).
% 3.74/3.94 tff(13863,plain,
% 3.74/3.94 (b(s(elem!1), elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[312, 13862, 294])).
% 3.74/3.94 tff(13864,plain,
% 3.74/3.94 (~b(elem!1, s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[12238, 338, 12168, 12176, 6387, 13863, 13861])).
% 3.74/3.94 tff(13865,plain,
% 3.74/3.94 (b(z, s(s(s(s(z))))) <=> b(z, elem!1)),
% 3.74/3.94 inference(monotonicity,[status(thm)],[1013])).
% 3.74/3.94 tff(13866,plain,
% 3.74/3.94 ((~b(z, s(s(s(s(z)))))) <=> (~b(z, elem!1))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13865])).
% 3.74/3.94 tff(13867,plain,
% 3.74/3.94 (~b(z, elem!1)),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[386, 13866])).
% 3.74/3.94 tff(13868,plain,
% 3.74/3.94 (~(s(s(s(elem!1))) = elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[8290, 12210, 162, 234, 762, 306, 7156, 1815, 8347, 763])).
% 3.74/3.94 tff(13869,plain,
% 3.74/3.94 (~r(z, s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6377, 13868, 162, 234, 763, 12225, 12170, 762])).
% 3.74/3.94 tff(13870,plain,
% 3.74/3.94 (~r(s(s(s(elem!1))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13842, 13869, 140, 12171, 13867, 12225])).
% 3.74/3.94 tff(13871,plain,
% 3.74/3.94 (b(s(s(s(elem!1))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1990, 13870])).
% 3.74/3.94 tff(13872,plain,
% 3.74/3.94 (~(s(z) = elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13069, 762, 12171])).
% 3.74/3.94 tff(13873,plain,
% 3.74/3.94 (~(elem!1 = s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[696, 13872])).
% 3.74/3.94 tff(13874,plain,
% 3.74/3.94 (~(elem!1 = s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1924, 13868])).
% 3.74/3.94 tff(13875,plain,
% 3.74/3.94 (r(elem!1, s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1946, 13874, 1940])).
% 3.74/3.94 tff(13876,plain,
% 3.74/3.94 (b(s(z), s(s(s(s(z))))) <=> b(s(z), elem!1)),
% 3.74/3.94 inference(monotonicity,[status(thm)],[1013])).
% 3.74/3.94 tff(13877,plain,
% 3.74/3.94 (b(s(z), elem!1)),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[651, 13876])).
% 3.74/3.94 tff(13878,plain,
% 3.74/3.94 (r(s(s(s(s(z)))), s(elem!1)) <=> r(elem!1, s(elem!1))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[1013])).
% 3.74/3.94 tff(13879,plain,
% 3.74/3.94 ((~r(s(s(s(s(z)))), s(elem!1))) <=> (~r(elem!1, s(elem!1)))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13878])).
% 3.74/3.94 tff(13880,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[5128, 82, 1815, 12174])).
% 3.74/3.94 tff(13881,plain,
% 3.74/3.94 (~r(elem!1, s(elem!1))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 3.74/3.94 tff(13882,plain,
% 3.74/3.94 (b(elem!1, s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[250, 21, 13881, 7156])).
% 3.74/3.94 tff(13883,plain,
% 3.74/3.94 (b(z, s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1373, 13869])).
% 3.74/3.94 tff(13884,plain,
% 3.74/3.94 (~r(s(s(s(elem!1))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[2177, 13868, 162, 763, 12210, 762, 234])).
% 3.74/3.94 tff(13885,plain,
% 3.74/3.94 (b(s(s(s(elem!1))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1387, 13884])).
% 3.74/3.94 tff(13886,plain,
% 3.74/3.94 (~b(s(z), s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1888, 13870, 12178, 13885, 13883])).
% 3.74/3.94 tff(13887,plain,
% 3.74/3.94 (r(s(z), s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1870, 13886])).
% 3.74/3.94 tff(13888,plain,
% 3.74/3.94 (~r(elem!1, s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13078, 82, 1950, 1854])).
% 3.74/3.94 tff(13889,plain,
% 3.74/3.94 (~r(s(elem!1), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3055, 1854, 1502])).
% 3.74/3.94 tff(13890,plain,
% 3.74/3.94 (b(s(elem!1), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[2070, 13889, 1917])).
% 3.74/3.94 tff(13891,plain,
% 3.74/3.94 (~b(elem!1, s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13089, 13890, 314, 706, 315])).
% 3.74/3.94 tff(13892,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[817, 21, 13891, 720, 13888])).
% 3.74/3.94 tff(13893,plain,((~r(s(z), s(s(s(elem!1))))) | (elem!1 = s(z)) | (~r(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(elem!1, s(elem!1))) | (s(elem!1) = s(z)) | (~r(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13894,plain,
% 3.74/3.94 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13893, 13887, 12214, 13882, 314, 13877, 13875, 13873])).
% 3.74/3.94 tff(13895,plain,
% 3.74/3.94 (b(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1515, 13894, 215])).
% 3.74/3.94 tff(13896,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(13897,plain,
% 3.74/3.94 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(13898,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z)))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13897])).
% 3.74/3.94 tff(13899,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.74/3.94 inference(transitivity,[status(thm)],[13898, 13896])).
% 3.74/3.94 tff(13900,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.74/3.94 inference(quant_inst,[status(thm)],[])).
% 3.74/3.94 tff(13901,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z)))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 3.74/3.94 tff(13902,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13901, 338, 13883, 13885, 1597, 13895, 12178, 13871])).
% 3.74/3.94 tff(13903,plain,((~(s(s(s(s(z)))) = elem!1)) | (~b(z, s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | b(elem!1, s(s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(s(elem!1), z)) | b(z, s(s(s(s(z))))) | b(s(s(s(s(z)))), z) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13904,plain,
% 3.74/3.94 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13903, 386, 215, 314, 140, 12171, 1940, 234, 763, 762, 306, 1815, 1597, 12173, 651])).
% 3.74/3.94 tff(13905,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1144, 13904, 12207])).
% 3.74/3.94 tff(13906,plain,
% 3.74/3.94 (b(s(z), s(s(s(s(z))))) <=> b(s(z), s(s(elem!1)))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[4790])).
% 3.74/3.94 tff(13907,plain,
% 3.74/3.94 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(z)))))),
% 3.74/3.94 inference(symmetry,[status(thm)],[13906])).
% 3.74/3.94 tff(13908,plain,
% 3.74/3.94 ((~b(s(z), s(s(elem!1)))) <=> (~b(s(z), s(s(s(s(z))))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13907])).
% 3.74/3.94 tff(13909,plain,
% 3.74/3.94 (~b(s(z), s(s(s(s(z)))))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[12171, 13908])).
% 3.74/3.94 tff(13910,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[651, 13909])).
% 3.74/3.94 tff(13911,plain,((~b(s(z), s(s(s(s(z)))))) | b(s(z), s(s(elem!1))) | (~(s(s(s(s(z)))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13912,plain,
% 3.74/3.94 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13911, 651, 12171])).
% 3.74/3.94 tff(13913,plain,
% 3.74/3.94 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11454, 13912])).
% 3.74/3.94 tff(13914,plain,
% 3.74/3.94 (r(z, s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[391, 386])).
% 3.74/3.94 tff(13915,plain,
% 3.74/3.94 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[379, 13914, 162])).
% 3.74/3.94 tff(13916,plain,
% 3.74/3.94 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[368, 13915, 13913])).
% 3.74/3.94 tff(13917,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11385, 13916, 13905, 3484, 763, 762])).
% 3.74/3.94 tff(13918,plain,(b(z, s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | b(elem!1, s(s(s(elem!1)))) | (~r(z, elem!1)) | (s(elem!1) = elem!1) | (~r(s(elem!1), z)) | (~b(z, s(elem!1))) | b(s(s(s(s(z)))), z) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(13919,plain,
% 3.74/3.94 (b(z, s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13918, 12168, 12206, 12176, 210, 13863, 140, 12171, 13864, 234, 294, 13859, 13855, 12173, 13853])).
% 3.74/3.94 tff(13920,plain,
% 3.74/3.94 (~b(s(s(s(s(z)))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3815, 13919, 12178, 12180, 13853])).
% 3.74/3.94 tff(13921,plain,
% 3.74/3.94 (r(s(s(s(s(z)))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[119, 13920])).
% 3.74/3.94 tff(13922,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10806, 13921, 12180, 12178, 12174])).
% 3.74/3.94 tff(13923,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1011, 13922])).
% 3.74/3.94 tff(13924,plain,
% 3.74/3.94 ((s(s(s(s(z)))) = z) <=> (elem!1 = z)),
% 3.74/3.94 inference(monotonicity,[status(thm)],[1013])).
% 3.74/3.94 tff(13925,plain,
% 3.74/3.94 ((s(s(s(s(z)))) = z) <=> (z = elem!1)),
% 3.74/3.94 inference(transitivity,[status(thm)],[13924, 711])).
% 3.74/3.94 tff(13926,plain,
% 3.74/3.94 ((s(s(s(s(z)))) = z) <=> (elem!1 = z)),
% 3.74/3.94 inference(transitivity,[status(thm)],[13925, 2749])).
% 3.74/3.94 tff(13927,plain,
% 3.74/3.94 ((~(s(s(s(s(z)))) = z)) <=> (~(elem!1 = z))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13926])).
% 3.74/3.94 tff(13928,plain,
% 3.74/3.94 (~(elem!1 = z)),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[123, 13927])).
% 3.74/3.94 tff(13929,plain,
% 3.74/3.94 (~r(s(z), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[729, 12172, 165])).
% 3.74/3.94 tff(13930,plain,
% 3.74/3.94 (b(s(z), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[26, 13929])).
% 3.74/3.94 tff(13931,plain,
% 3.74/3.94 (~r(z, s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4588, 12172, 165])).
% 3.74/3.94 tff(13932,plain,
% 3.74/3.94 (b(z, s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[403, 13931])).
% 3.74/3.94 tff(13933,plain,
% 3.74/3.94 ((~(s(s(s(s(z)))) = z)) <=> (~(z = elem!1))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13925])).
% 3.74/3.94 tff(13934,plain,
% 3.74/3.94 (~(z = elem!1)),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[123, 13933])).
% 3.74/3.94 tff(13935,plain,
% 3.74/3.94 (~(s(elem!1) = s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1912, 13934])).
% 3.74/3.94 tff(13936,plain,
% 3.74/3.94 (~(s(z) = s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1919, 13935])).
% 3.74/3.94 tff(13937,plain,
% 3.74/3.94 (b(s(z), s(elem!1))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3066, 13936, 12216])).
% 3.74/3.94 tff(13938,plain,
% 3.74/3.94 (~b(s(elem!1), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4302, 13937, 13932, 6584, 13930])).
% 3.74/3.94 tff(13939,plain,
% 3.74/3.94 (r(s(elem!1), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1812, 13938])).
% 3.74/3.94 tff(13940,plain,
% 3.74/3.94 (~(s(s(s(elem!1))) = elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[8290, 13939, 165, 234, 10423, 1474, 1469, 12210, 2119, 10422])).
% 3.74/3.94 tff(13941,plain,
% 3.74/3.94 (~r(z, s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6377, 13940, 165, 234, 10422, 12225, 13928, 10423])).
% 3.74/3.94 tff(13942,plain,
% 3.74/3.94 (b(z, s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1373, 13941])).
% 3.74/3.94 tff(13943,plain,
% 3.74/3.94 (r(s(s(s(s(z)))), s(z)) <=> r(elem!1, s(z))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[1013])).
% 3.74/3.94 tff(13944,plain,
% 3.74/3.94 (r(elem!1, s(z))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[108, 13943])).
% 3.74/3.94 tff(13945,plain,
% 3.74/3.94 (~r(s(elem!1), s(s(elem!1)))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1823, 13939, 165])).
% 3.74/3.94 tff(13946,plain,
% 3.74/3.94 (b(s(elem!1), s(s(elem!1)))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[3081, 13945, 1787])).
% 3.74/3.94 tff(13947,plain,
% 3.74/3.94 (~r(s(elem!1), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[7599, 13946, 10422, 13944, 1469, 1474, 10423])).
% 3.74/3.94 tff(13948,plain,
% 3.74/3.94 (b(s(elem!1), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[2070, 13947, 13935])).
% 3.74/3.94 tff(13949,plain,
% 3.74/3.94 (b(z, elem!1)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[13101, 13948, 6387, 12171, 165, 2614, 229, 137, 12225, 13942])).
% 3.74/3.94 tff(13950,plain,
% 3.74/3.94 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6395, 1929, 762, 763, 6387])).
% 3.74/3.94 tff(13951,plain,
% 3.74/3.94 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[2619, 13950, 2614])).
% 3.74/3.94 tff(13952,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(13953,plain,
% 3.74/3.94 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(13954,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[13953])).
% 3.74/3.94 tff(13955,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.95 inference(transitivity,[status(thm)],[13954, 13952])).
% 3.74/3.95 tff(13956,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(13957,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[13956, 13955])).
% 3.74/3.95 tff(13958,plain,
% 3.74/3.95 ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13957, 338, 1021, 763, 762, 6387])).
% 3.74/3.95 tff(13959,plain,
% 3.74/3.95 (~b(s(s(elem!1)), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13958, 1929])).
% 3.74/3.95 tff(13960,plain,
% 3.74/3.95 (r(s(s(elem!1)), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[800, 13959])).
% 3.74/3.95 tff(13961,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[8996, 13960, 13951, 1301])).
% 3.74/3.95 tff(13962,plain,((~b(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(13963,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13962, 328, 322, 1301, 1021, 2614, 6387, 1929])).
% 3.74/3.95 tff(13964,plain,((elem!1 = s(s(elem!1))) | (~r(s(s(s(elem!1))), z)) | (~b(z, elem!1)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(13965,plain,
% 3.74/3.95 (~r(s(s(s(elem!1))), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13964, 317, 6387, 2614, 137, 1929, 323, 1021])).
% 3.74/3.95 tff(13966,plain,
% 3.74/3.95 (b(s(s(s(elem!1))), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1387, 13965])).
% 3.74/3.95 tff(13967,plain,
% 3.74/3.95 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[6395, 8574, 1929, 8573, 6387])).
% 3.74/3.95 tff(13968,plain,
% 3.74/3.95 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[2619, 13967, 2614])).
% 3.74/3.95 tff(13969,plain,
% 3.74/3.95 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[2629, 13968, 264])).
% 3.74/3.95 tff(13970,plain,
% 3.74/3.95 (b(s(elem!1), s(s(s(elem!1))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1515, 13969, 210])).
% 3.74/3.95 tff(13971,plain,
% 3.74/3.95 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[6302, 13968, 264])).
% 3.74/3.95 tff(13972,plain,
% 3.74/3.95 (b(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1971, 13971, 218])).
% 3.74/3.95 tff(13973,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1605, 13972, 13970, 1597, 1595, 13966])).
% 3.74/3.95 tff(13974,plain,(r(elem!1, s(s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(13975,plain,
% 3.74/3.95 (r(elem!1, s(s(elem!1)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13974, 323, 1595, 264, 2614, 1929, 6387, 137, 6584, 1021])).
% 3.74/3.95 tff(13976,plain,
% 3.74/3.95 (~r(elem!1, s(elem!1))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[2715, 13975, 264])).
% 3.74/3.95 tff(13977,plain,
% 3.74/3.95 (b(elem!1, s(elem!1))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[252, 13976, 246])).
% 3.74/3.95 tff(13978,plain,
% 3.74/3.95 (~r(elem!1, z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1081, 13975, 165])).
% 3.74/3.95 tff(13979,plain,
% 3.74/3.95 (b(elem!1, z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[846, 13978, 1037])).
% 3.74/3.95 tff(13980,plain,
% 3.74/3.95 (~b(s(elem!1), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[7200, 13979, 6584, 1021, 13977])).
% 3.74/3.95 tff(13981,plain,
% 3.74/3.95 (r(s(elem!1), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1812, 13980])).
% 3.74/3.95 tff(13982,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(13983,plain,
% 3.74/3.95 (((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(13984,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[13983])).
% 3.74/3.95 tff(13985,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.95 inference(transitivity,[status(thm)],[13984, 13982])).
% 3.74/3.95 tff(13986,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(13987,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 3.74/3.95 tff(13988,plain,
% 3.74/3.95 ((~b(elem!1, z)) | (~b(s(s(elem!1)), z))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13987, 338, 1021, 8573, 1595, 1929])).
% 3.74/3.95 tff(13989,plain,
% 3.74/3.95 (~b(s(s(elem!1)), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13988, 13979])).
% 3.74/3.95 tff(13990,plain,
% 3.74/3.95 (r(s(s(elem!1)), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[800, 13989])).
% 3.74/3.95 tff(13991,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[5958, 13990, 13981, 264])).
% 3.74/3.95 tff(13992,plain,(r(s(s(elem!1)), elem!1) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (elem!1 = s(elem!1)) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(13993,plain,
% 3.74/3.95 (~b(elem!1, s(s(s(elem!1))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13992, 13949, 264, 13942, 263, 1469, 165, 2614, 6387, 137])).
% 3.74/3.95 tff(13994,plain,
% 3.74/3.95 (b(s(s(s(elem!1))), elem!1)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13019, 13949, 6387, 165, 264, 13993, 229, 13942])).
% 3.74/3.95 tff(13995,plain,
% 3.74/3.95 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[12049, 13949, 13942, 165, 137, 1469, 264, 6387, 1787, 13993])).
% 3.74/3.95 tff(13996,plain,
% 3.74/3.95 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[2619, 13995, 2614])).
% 3.74/3.95 tff(13997,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[10569, 13996, 13994, 10423, 6387, 10422])).
% 3.74/3.95 tff(13998,plain,((~(s(s(s(s(z)))) = elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~r(z, elem!1)) | b(s(s(s(s(z)))), z) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(13999,plain,
% 3.74/3.95 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13998, 13921, 12173, 162, 10433, 225, 137, 12171, 234, 6387, 7060])).
% 3.74/3.95 tff(14000,plain,
% 3.74/3.95 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1144, 13999, 12207])).
% 3.74/3.95 tff(14001,plain,
% 3.74/3.95 (~(s(z) = elem!1)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13069, 10423, 12171])).
% 3.74/3.95 tff(14002,plain,
% 3.74/3.95 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1237, 14001])).
% 3.74/3.95 tff(14003,plain,
% 3.74/3.95 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[3603, 12174, 136])).
% 3.74/3.95 tff(14004,plain,
% 3.74/3.95 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[689, 14003])).
% 3.74/3.95 tff(14005,plain,
% 3.74/3.95 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[10740, 14004, 3468])).
% 3.74/3.95 tff(14006,plain,
% 3.74/3.95 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[10478, 12184, 14005])).
% 3.74/3.95 tff(14007,plain,
% 3.74/3.95 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13998, 12173, 2614, 165, 264, 229, 137, 12171, 234, 6387, 108])).
% 3.74/3.95 tff(14008,plain,
% 3.74/3.95 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1144, 14007, 12207])).
% 3.74/3.95 tff(14009,plain,
% 3.74/3.95 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[14005, 8585])).
% 3.74/3.95 tff(14010,plain,
% 3.74/3.95 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11385, 14006, 10423, 10422, 14008])).
% 3.74/3.95 tff(14011,plain,
% 3.74/3.95 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[368, 14010, 14009])).
% 3.74/3.95 tff(14012,plain,
% 3.74/3.95 (~(elem!1 = s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1062, 14007])).
% 3.74/3.95 tff(14013,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14014,plain,
% 3.74/3.95 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14015,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[14014])).
% 3.74/3.95 tff(14016,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.74/3.95 inference(transitivity,[status(thm)],[14015, 14013])).
% 3.74/3.95 tff(14017,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(14018,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[14017, 14016])).
% 3.74/3.95 tff(14019,plain,
% 3.74/3.95 (~b(elem!1, s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14018, 338, 10422, 10423, 14008, 14006])).
% 3.74/3.95 tff(14020,plain,
% 3.74/3.95 (r(elem!1, s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1094, 14019, 14012])).
% 3.74/3.95 tff(14021,plain,
% 3.74/3.95 (~r(s(z), elem!1)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[3247, 72, 3239])).
% 3.74/3.95 tff(14022,plain,
% 3.74/3.95 (b(s(z), elem!1)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[701, 14021, 691])).
% 3.74/3.95 tff(14023,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14024,plain,
% 3.74/3.95 (((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14025,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[14024])).
% 3.74/3.95 tff(14026,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(transitivity,[status(thm)],[14025, 14023])).
% 3.74/3.95 tff(14027,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(14028,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[14027, 14026])).
% 3.74/3.95 tff(14029,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14028, 338, 763, 762, 14022, 6734, 1130, 3484])).
% 3.74/3.95 tff(14030,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (s(z) = elem!1) | (~r(elem!1, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(14031,plain,
% 3.74/3.95 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14030, 14008, 10423, 10422, 14006, 14001, 14020, 14011])).
% 3.74/3.95 tff(14032,plain,
% 3.74/3.95 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[106, 14031])).
% 3.74/3.95 tff(14033,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14034,plain,
% 3.74/3.95 (((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14035,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[14034])).
% 3.74/3.95 tff(14036,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(transitivity,[status(thm)],[14035, 14033])).
% 3.74/3.95 tff(14037,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(14038,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 3.74/3.95 tff(14039,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14038, 338, 763, 458, 651, 539, 1130, 3484])).
% 3.74/3.95 tff(14040,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(14041,plain,
% 3.74/3.95 (~b(s(s(s(z))), s(z))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14040, 14032, 10422, 14004, 14008, 14006])).
% 3.74/3.95 tff(14042,plain,
% 3.74/3.95 (r(s(s(s(z))), s(z))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[437, 14041])).
% 3.74/3.95 tff(14043,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[13334, 82, 787, 1122, 370])).
% 3.74/3.95 tff(14044,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(14045,plain,
% 3.74/3.95 (~r(s(s(elem!1)), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14044, 14011, 12174])).
% 3.74/3.95 tff(14046,plain,
% 3.74/3.95 (b(s(s(elem!1)), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[800, 14045])).
% 3.74/3.95 tff(14047,plain,
% 3.74/3.95 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[881, 14046, 129])).
% 3.74/3.95 tff(14048,plain,
% 3.74/3.95 ((s(s(s(z))) = s(s(elem!1))) | r(s(s(s(z))), s(s(elem!1)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1221, 21, 3468])).
% 3.74/3.95 tff(14049,plain,
% 3.74/3.95 (r(s(s(s(z))), s(s(elem!1)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14048, 14047])).
% 3.74/3.95 tff(14050,plain,
% 3.74/3.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14051,plain,
% 3.74/3.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(14052,plain,
% 3.74/3.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(elem!1))))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[14051, 14050])).
% 3.74/3.95 tff(14053,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14052, 82, 786, 427, 163])).
% 3.74/3.95 tff(14054,plain,((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(14055,plain,
% 3.74/3.95 (~r(s(s(elem!1)), s(z))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14054, 14049, 14042])).
% 3.74/3.95 tff(14056,plain,
% 3.74/3.95 (b(s(s(elem!1)), s(z))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[784, 14055])).
% 3.74/3.95 tff(14057,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14058,plain,
% 3.74/3.95 (((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(14059,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[14058])).
% 3.74/3.95 tff(14060,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(transitivity,[status(thm)],[14059, 14057])).
% 3.74/3.95 tff(14061,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(14062,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[14061, 14060])).
% 3.74/3.95 tff(14063,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[14062, 338, 10423, 14046, 13930, 14056, 14008, 14006])).
% 3.74/3.95 tff(14064,plain,(b(s(s(s(s(z)))), z) | b(s(s(s(z))), s(s(elem!1))) | b(s(s(s(z))), z) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(elem!1)) = s(elem!1)) | (elem!1 = s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(14065,plain,
% 3.74/3.96 (b(s(s(s(z))), s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14064, 129, 12173, 165, 137, 264, 225, 108, 12171, 234, 6387, 7060])).
% 3.74/3.96 tff(14066,plain,
% 3.74/3.96 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[3603, 1122, 426])).
% 3.74/3.96 tff(14067,plain,
% 3.74/3.96 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[689, 14066])).
% 3.74/3.96 tff(14068,plain,
% 3.74/3.96 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[10723, 1122, 426])).
% 3.74/3.96 tff(14069,plain,
% 3.74/3.96 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1011, 14068])).
% 3.74/3.96 tff(14070,plain,
% 3.74/3.96 (~r(s(s(s(s(z)))), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[5597, 1122, 234])).
% 3.74/3.96 tff(14071,plain,
% 3.74/3.96 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), elem!1)),
% 3.74/3.96 inference(monotonicity,[status(thm)],[193])).
% 3.74/3.96 tff(14072,plain,
% 3.74/3.96 (b(s(s(s(z))), elem!1)),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[3254, 14071])).
% 3.74/3.96 tff(14073,plain,
% 3.74/3.96 ((s(s(s(z))) = s(s(elem!1))) <=> (elem!1 = s(s(s(z))))),
% 3.74/3.96 inference(transitivity,[status(thm)],[10480, 1052])).
% 3.74/3.96 tff(14074,plain,
% 3.74/3.96 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[14073])).
% 3.74/3.96 tff(14075,plain,
% 3.74/3.96 (~(elem!1 = s(s(s(z))))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[871, 14074])).
% 3.74/3.96 tff(14076,plain,
% 3.74/3.96 (~b(elem!1, s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[2389, 14072, 987, 539, 11568])).
% 3.74/3.96 tff(14077,plain,
% 3.74/3.96 (r(elem!1, s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1160, 14076, 14075])).
% 3.74/3.96 tff(14078,plain,
% 3.74/3.96 (~r(z, s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[3328, 14077, 234])).
% 3.74/3.96 tff(14079,plain,
% 3.74/3.96 (b(z, s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[149, 14078])).
% 3.74/3.96 tff(14080,plain,
% 3.74/3.96 (r(s(z), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[13678, 193, 12171])).
% 3.74/3.96 tff(14081,plain,
% 3.74/3.96 (~r(s(z), s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[3345, 14077, 14080])).
% 3.74/3.96 tff(14082,plain,
% 3.74/3.96 (b(s(z), s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[424, 14081])).
% 3.74/3.96 tff(14083,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14084,plain,
% 3.74/3.96 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14085,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[14084])).
% 3.74/3.96 tff(14086,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.96 inference(transitivity,[status(thm)],[14085, 14083])).
% 3.74/3.96 tff(14087,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(14088,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[14087, 14086])).
% 3.74/3.96 tff(14089,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14088, 338, 486, 14082, 14079, 14072, 539, 11568])).
% 3.74/3.96 tff(14090,plain,((~(s(s(elem!1)) = elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (s(s(s(z))) = s(s(elem!1))) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(14091,plain,
% 3.74/3.96 (~(s(s(elem!1)) = elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14090, 14067, 486, 234, 14069, 3484, 3254, 871, 12171])).
% 3.74/3.96 tff(14092,plain,
% 3.74/3.96 (~(elem!1 = s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[2015, 14091])).
% 3.74/3.96 tff(14093,plain,
% 3.74/3.96 (b(elem!1, s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[321, 14092, 317])).
% 3.74/3.96 tff(14094,plain,
% 3.74/3.96 (b(s(s(elem!1)), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[327, 14091, 323])).
% 3.74/3.96 tff(14095,plain,
% 3.74/3.96 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11442, 14094, 14093, 3254, 14067, 14069])).
% 3.74/3.96 tff(14096,plain,
% 3.74/3.96 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1144, 14095, 14070])).
% 3.74/3.96 tff(14097,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14098,plain,
% 3.74/3.96 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14099,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[14098])).
% 3.74/3.96 tff(14100,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/3.96 inference(transitivity,[status(thm)],[14099, 14097])).
% 3.74/3.96 tff(14101,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(14102,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[14101, 14100])).
% 3.74/3.96 tff(14103,plain,
% 3.74/3.96 (~b(elem!1, s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14102, 338, 14094, 14093, 14096, 3254, 3484])).
% 3.74/3.96 tff(14104,plain,
% 3.74/3.96 (~b(elem!1, s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14018, 338, 14094, 14093, 14096, 3484])).
% 3.74/3.96 tff(14105,plain,
% 3.74/3.96 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[1040])).
% 3.74/3.96 tff(14106,plain,
% 3.74/3.96 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.74/3.96 inference(symmetry,[status(thm)],[14105])).
% 3.74/3.96 tff(14107,plain,
% 3.74/3.96 (b(elem!1, s(s(s(s(z)))))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[539, 14106])).
% 3.74/3.96 tff(14108,assumption,(~b(elem!1, s(s(s(s(z)))))), introduced(assumption)).
% 3.74/3.96 tff(14109,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14108, 14107])).
% 3.74/3.96 tff(14110,plain,((~(elem!1 = s(s(s(z))))) | b(elem!1, s(s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(14111,plain,
% 3.74/3.96 (~(elem!1 = s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14110, 14104, 14067])).
% 3.74/3.96 tff(14112,plain,
% 3.74/3.96 (r(elem!1, s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1160, 14111, 14103])).
% 3.74/3.96 tff(14113,plain,
% 3.74/3.96 (~r(z, s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[3328, 14112, 234])).
% 3.74/3.96 tff(14114,plain,
% 3.74/3.96 (b(z, s(s(s(z))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[149, 14113])).
% 3.74/3.96 tff(14115,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14116,plain,
% 3.74/3.96 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14117,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[14116])).
% 3.74/3.96 tff(14118,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.96 inference(transitivity,[status(thm)],[14117, 14115])).
% 3.74/3.96 tff(14119,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(14120,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[14119, 14118])).
% 3.74/3.96 tff(14121,plain,
% 3.74/3.96 (~b(z, s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14120, 338, 14114, 14069, 14067, 3254, 3484])).
% 3.74/3.96 tff(14122,plain,
% 3.74/3.96 (r(z, s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[391, 14121])).
% 3.74/3.96 tff(14123,plain,
% 3.74/3.96 (~(elem!1 = s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1062, 14095])).
% 3.74/3.96 tff(14124,plain,
% 3.74/3.96 (r(elem!1, s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1094, 14104, 14123])).
% 3.74/3.96 tff(14125,plain,
% 3.74/3.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14126,plain,
% 3.74/3.96 (((~r(elem!1, s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, elem!1))) <=> ((~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14127,plain,
% 3.74/3.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[14126])).
% 3.74/3.96 tff(14128,plain,
% 3.74/3.96 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.74/3.96 inference(transitivity,[status(thm)],[14127, 14125])).
% 3.74/3.96 tff(14129,plain,
% 3.74/3.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, elem!1)))),
% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(14130,plain,
% 3.74/3.96 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[14129, 14128])).
% 3.74/3.96 tff(14131,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14130, 82, 234, 14124, 14122])).
% 3.74/3.96 tff(14132,plain,((~r(s(s(s(s(z)))), z)) | (~r(z, elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | r(elem!1, s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~b(z, s(z))) | (s(s(s(z))) = s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(14133,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14132, 14065, 136, 234, 12174, 288, 263, 13932, 3484, 12171, 14002])).
% 3.74/3.96 tff(14134,plain,(b(s(s(s(z))), z) | (~r(z, elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | b(s(z), s(s(elem!1))) | b(s(s(s(s(z)))), z) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(14135,plain,
% 3.74/3.96 (b(s(s(s(z))), z)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14134, 137, 12206, 12171, 12173, 162, 234, 10433, 13921, 6387])).
% 3.74/3.96 tff(14136,plain,
% 3.74/3.96 (b(s(s(elem!1)), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[327, 207, 12167])).
% 3.74/3.96 tff(14137,plain,
% 3.74/3.96 (b(s(elem!1), s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[3081, 12229, 9321])).
% 3.74/3.96 tff(14138,plain,
% 3.74/3.96 (b(s(elem!1), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[312, 12231, 7150])).
% 3.74/3.96 tff(14139,plain,
% 3.74/3.96 (~b(elem!1, s(s(s(elem!1))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[12238, 338, 14136, 762, 6387, 14138, 14137])).
% 3.74/3.96 tff(14140,plain,
% 3.74/3.96 (r(elem!1, s(s(s(elem!1))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1946, 1939, 14139])).
% 3.74/3.96 tff(14141,plain,
% 3.74/3.96 (~b(s(s(s(elem!1))), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[6708, 14140, 162, 234, 6387, 762, 2794, 7150, 14136, 5948])).
% 3.74/3.96 tff(14142,plain,
% 3.74/3.96 (~b(z, elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[13019, 14141, 6387, 162, 264, 14139, 7148, 2794])).
% 3.74/3.96 tff(14143,plain,
% 3.74/3.96 (~(elem!1 = s(elem!1))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[231, 7148])).
% 3.74/3.96 tff(14144,plain,
% 3.74/3.96 (~r(elem!1, z)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[2167, 1301, 1950])).
% 3.74/3.96 tff(14145,plain,
% 3.74/3.96 (~(elem!1 = s(elem!1))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[7150, 2035])).
% 3.74/3.96 tff(14146,plain,
% 3.74/3.96 (~(s(s(elem!1)) = s(elem!1))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[5453, 14145])).
% 3.74/3.96 tff(14147,plain,
% 3.74/3.96 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1280, 14146])).
% 3.74/3.96 tff(14148,plain,
% 3.74/3.96 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[2611, 14147])).
% 3.74/3.96 tff(14149,plain,
% 3.74/3.96 (~r(s(s(s(elem!1))), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[2157, 234, 1301])).
% 3.74/3.96 tff(14150,plain,
% 3.74/3.96 (b(s(s(s(elem!1))), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[2162, 14149, 1271])).
% 3.74/3.96 tff(14151,plain,
% 3.74/3.96 (~(elem!1 = s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[2015, 207])).
% 3.74/3.96 tff(14152,plain,
% 3.74/3.96 (~r(z, s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[287, 279, 234])).
% 3.74/3.96 tff(14153,plain,
% 3.74/3.96 (b(z, s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[161, 14152])).
% 3.74/3.96 tff(14154,plain,
% 3.74/3.96 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[4436, 279, 1950])).
% 3.74/3.96 tff(14155,plain,
% 3.74/3.96 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1292, 14154, 14147])).
% 3.74/3.96 tff(14156,plain,
% 3.74/3.96 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[8994, 82, 1301, 787])).
% 3.74/3.96 tff(14157,plain,
% 3.74/3.96 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[2617, 21, 14148, 14156])).
% 3.74/3.96 tff(14158,plain,
% 3.74/3.96 (b(s(s(elem!1)), elem!1)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[327, 2553, 207])).
% 3.74/3.96 tff(14159,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14160,plain,
% 3.74/3.96 (((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(14161,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[14160])).
% 3.74/3.96 tff(14162,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.96 inference(transitivity,[status(thm)],[14161, 14159])).
% 3.74/3.96 tff(14163,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))),
% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(14164,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[14163, 14162])).
% 3.74/3.96 tff(14165,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[14164, 338, 14158, 1595, 2636, 6387, 8722, 14157])).
% 3.74/3.97 tff(14166,plain,((~r(s(s(elem!1)), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = elem!1) | (~r(z, elem!1)) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(14167,plain,
% 3.74/3.97 (~r(s(s(elem!1)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14166, 14155, 2636, 1595, 14153, 207, 234, 1301])).
% 3.74/3.97 tff(14168,plain,
% 3.74/3.97 (b(s(s(elem!1)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[798, 21, 155, 14167])).
% 3.74/3.97 tff(14169,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14170,plain,
% 3.74/3.97 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14171,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[14170])).
% 3.74/3.97 tff(14172,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.97 inference(transitivity,[status(thm)],[14171, 14169])).
% 3.74/3.97 tff(14173,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(14174,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[14173, 14172])).
% 3.74/3.97 tff(14175,plain,
% 3.74/3.97 (~b(s(s(elem!1)), elem!1)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14174, 338, 1131, 1595, 14155, 14153, 14168])).
% 3.74/3.97 tff(14176,plain,
% 3.74/3.97 (r(s(s(elem!1)), elem!1)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[327, 14175, 207])).
% 3.74/3.97 tff(14177,plain,
% 3.74/3.97 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[6487, 14176, 1950])).
% 3.74/3.97 tff(14178,plain,
% 3.74/3.97 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[12264, 14168, 14155, 14153, 1595])).
% 3.74/3.97 tff(14179,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[2617, 21, 14148, 14178, 14177])).
% 3.74/3.97 tff(14180,plain,((~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (s(s(elem!1)) = elem!1) | (~b(elem!1, z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(z, elem!1)) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(14181,plain,
% 3.74/3.97 (~r(elem!1, s(s(elem!1)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14180, 14150, 207, 1131, 1595, 1950, 234, 1301])).
% 3.74/3.97 tff(14182,plain,
% 3.74/3.97 (b(elem!1, s(s(elem!1)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[321, 14181, 14151])).
% 3.74/3.97 tff(14183,plain,
% 3.74/3.97 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1309, 165, 1301])).
% 3.74/3.97 tff(14184,plain,
% 3.74/3.97 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1292, 14183, 14147])).
% 3.74/3.97 tff(14185,plain,
% 3.74/3.97 (~b(s(s(elem!1)), elem!1)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[6708, 14184, 762, 2636, 1950, 5948, 165, 7150, 234, 1595])).
% 3.74/3.97 tff(14186,plain,
% 3.74/3.97 (r(s(s(elem!1)), elem!1)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[327, 14185, 207])).
% 3.74/3.97 tff(14187,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[260, 82, 234, 14186, 165])).
% 3.74/3.97 tff(14188,plain,((~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (s(s(elem!1)) = elem!1) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(14189,plain,
% 3.74/3.97 (~r(z, s(s(elem!1)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14188, 234, 207, 14182, 14150, 1950, 1595, 1301])).
% 3.74/3.97 tff(14190,plain,
% 3.74/3.97 (b(z, s(s(elem!1)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[161, 14189])).
% 3.74/3.97 tff(14191,plain,
% 3.74/3.97 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[6487, 254, 1950])).
% 3.74/3.97 tff(14192,plain,
% 3.74/3.97 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[2619, 14191, 2614])).
% 3.74/3.97 tff(14193,plain,
% 3.74/3.97 (~r(s(s(elem!1)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[2552, 254, 234])).
% 3.74/3.97 tff(14194,plain,
% 3.74/3.97 (b(s(s(elem!1)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[798, 21, 155, 14193])).
% 3.74/3.97 tff(14195,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14196,plain,
% 3.74/3.97 (((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14197,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[14196])).
% 3.74/3.97 tff(14198,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.97 inference(transitivity,[status(thm)],[14197, 14195])).
% 3.74/3.97 tff(14199,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(14200,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[14199, 14198])).
% 3.74/3.97 tff(14201,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14200, 338, 1131, 1595, 762, 8722, 14194, 14192])).
% 3.74/3.97 tff(14202,plain,((~r(s(s(elem!1)), elem!1)) | (~b(elem!1, z)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(14203,plain,
% 3.74/3.97 (~r(s(s(elem!1)), elem!1)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14202, 14182, 1595, 1131, 14190, 14148, 234, 1950])).
% 3.74/3.97 tff(14204,plain,
% 3.74/3.97 (b(s(s(elem!1)), elem!1)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[327, 14203, 207])).
% 3.74/3.97 tff(14205,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14206,plain,
% 3.74/3.97 (((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))) <=> ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14207,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[14206])).
% 3.74/3.97 tff(14208,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.97 inference(transitivity,[status(thm)],[14207, 14205])).
% 3.74/3.97 tff(14209,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(14210,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[14209, 14208])).
% 3.74/3.97 tff(14211,plain,
% 3.74/3.97 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14210, 338, 1131, 14204, 14150, 14182, 14190])).
% 3.74/3.97 tff(14212,plain,
% 3.74/3.97 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[2619, 14211, 14148])).
% 3.74/3.97 tff(14213,plain,
% 3.74/3.97 (~r(s(s(elem!1)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[8996, 14212, 1301])).
% 3.74/3.97 tff(14214,plain,
% 3.74/3.97 (b(s(s(elem!1)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[798, 21, 155, 14213])).
% 3.74/3.97 tff(14215,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14216,plain,
% 3.74/3.97 (((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14217,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[14216])).
% 3.74/3.97 tff(14218,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.74/3.97 inference(transitivity,[status(thm)],[14217, 14215])).
% 3.74/3.97 tff(14219,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(14220,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[14219, 14218])).
% 3.74/3.97 tff(14221,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14220, 338, 1131, 14204, 14182, 14190, 14214])).
% 3.74/3.97 tff(14222,plain,((~r(z, elem!1)) | (~b(elem!1, z)) | (~r(s(s(s(elem!1))), z)) | (s(s(elem!1)) = elem!1) | (~b(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (s(s(s(elem!1))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(14223,plain,
% 3.74/3.97 (~b(elem!1, z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14222, 1301, 1595, 207, 234, 1950, 1271])).
% 3.74/3.97 tff(14224,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[846, 14223, 14144, 719])).
% 3.74/3.97 tff(14225,plain,((~r(s(s(s(elem!1))), z)) | (elem!1 = z) | (~b(z, s(s(s(elem!1))))) | (s(s(elem!1)) = elem!1) | (~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (s(s(s(elem!1))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(14226,plain,
% 3.74/3.97 (~r(s(s(s(elem!1))), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14225, 14140, 234, 207, 2794, 12170, 7561])).
% 3.74/3.97 tff(14227,plain,
% 3.74/3.97 (b(s(s(s(elem!1))), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1387, 14226])).
% 3.74/3.97 tff(14228,plain,
% 3.74/3.97 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1829, 14227, 162, 12212, 9321, 14138, 2794, 14136])).
% 3.74/3.97 tff(14229,plain,
% 3.74/3.97 (r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1971, 14228, 5949])).
% 3.74/3.97 tff(14230,plain,
% 3.74/3.97 (~r(elem!1, s(elem!1))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11736, 14229, 264, 1939, 7207, 14136, 762])).
% 3.74/3.97 tff(14231,plain,
% 3.74/3.97 (b(elem!1, s(elem!1))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[252, 14230, 14143])).
% 3.74/3.97 tff(14232,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14233,plain,
% 3.74/3.97 (((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14234,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[14233])).
% 3.74/3.97 tff(14235,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.74/3.97 inference(transitivity,[status(thm)],[14234, 14232])).
% 3.74/3.97 tff(14236,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(14237,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[14236, 14235])).
% 3.74/3.97 tff(14238,plain,
% 3.74/3.97 (~b(elem!1, z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14237, 338, 14136, 12212, 14231, 14138, 14137])).
% 3.74/3.97 tff(14239,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14240,plain,
% 3.74/3.97 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14241,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[14240])).
% 3.74/3.97 tff(14242,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.74/3.97 inference(transitivity,[status(thm)],[14241, 14239])).
% 3.74/3.97 tff(14243,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(14244,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[14243, 14242])).
% 3.74/3.97 tff(14245,plain,
% 3.74/3.97 (~b(s(s(s(elem!1))), s(z))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14244, 338, 14227, 12178, 3348, 987, 555])).
% 3.74/3.97 tff(14246,plain,
% 3.74/3.97 (r(s(s(s(elem!1))), s(z))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1990, 14245])).
% 3.74/3.97 tff(14247,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[13842, 14246, 14238, 140, 12171, 2793, 14142])).
% 3.74/3.97 tff(14248,plain,((elem!1 = s(s(s(elem!1)))) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | r(z, s(s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(14249,plain,
% 3.74/3.97 (elem!1 = s(s(s(elem!1)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14248, 2793, 12171, 140, 3348, 987, 555, 264, 762, 6387, 234, 207])).
% 3.74/3.97 tff(14250,plain,
% 3.74/3.97 (s(s(s(elem!1))) = elem!1),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1924, 14249])).
% 3.74/3.97 tff(14251,plain,
% 3.74/3.97 (b(z, elem!1)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[2149, 14250, 2794])).
% 3.74/3.97 tff(14252,plain,
% 3.74/3.97 (~r(elem!1, z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[8290, 14250, 162, 234, 762, 7150, 14143, 12219, 5950, 14136])).
% 3.74/3.97 tff(14253,plain,
% 3.74/3.97 (b(elem!1, z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[846, 14252, 12170])).
% 3.74/3.97 tff(14254,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[12752, 14253, 14251, 12172, 6387, 5948, 14249, 264, 14136, 12178, 162])).
% 3.74/3.97 tff(14255,plain,(r(z, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, elem!1)) | (~b(elem!1, s(s(elem!1)))) | b(s(z), s(s(elem!1))) | b(z, s(s(elem!1))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(14256,plain,
% 3.74/3.97 (r(z, s(s(s(elem!1))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[14255, 3348, 264, 234, 12176, 12171, 140, 6387, 987, 555, 197])).
% 3.74/3.97 tff(14257,plain,
% 3.74/3.97 (elem!1 = s(s(s(elem!1)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[7576, 14256, 162, 234, 137])).
% 3.74/3.97 tff(14258,plain,
% 3.74/3.97 (b(s(z), elem!1) <=> b(s(z), s(s(s(elem!1))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[14257])).
% 3.74/3.97 tff(14259,plain,
% 3.74/3.97 (b(s(z), s(s(s(elem!1)))) <=> b(s(z), elem!1)),
% 3.74/3.97 inference(symmetry,[status(thm)],[14258])).
% 3.74/3.97 tff(14260,plain,
% 3.74/3.97 ((~b(s(z), s(s(s(elem!1))))) <=> (~b(s(z), elem!1))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[14259])).
% 3.74/3.97 tff(14261,plain,
% 3.74/3.97 (s(s(s(elem!1))) = elem!1),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1924, 14257])).
% 3.74/3.97 tff(14262,plain,
% 3.74/3.97 (~r(elem!1, z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[8290, 14261, 162, 234, 12176, 294, 232, 12219, 2119, 12168])).
% 3.74/3.97 tff(14263,plain,
% 3.74/3.97 (~r(s(s(s(elem!1))), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[3385, 14262, 14257])).
% 3.74/3.97 tff(14264,plain,
% 3.74/3.97 (b(s(s(s(elem!1))), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1387, 14263])).
% 3.74/3.97 tff(14265,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(14266,plain,
% 3.74/3.97 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(14267,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14266])).
% 3.74/3.98 tff(14268,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[14267, 14265])).
% 3.74/3.98 tff(14269,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(14270,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 3.74/3.98 tff(14271,plain,
% 3.74/3.98 (~b(s(z), s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14270, 338, 14264, 12178, 3348, 987, 555])).
% 3.74/3.98 tff(14272,plain,
% 3.74/3.98 (~b(s(z), elem!1)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14271, 14260])).
% 3.74/3.98 tff(14273,plain,
% 3.74/3.98 (~(s(z) = elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[13069, 12176, 12171])).
% 3.74/3.98 tff(14274,plain,
% 3.74/3.98 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14257])).
% 3.74/3.98 tff(14275,plain,
% 3.74/3.98 ((s(s(s(z))) = elem!1) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[14274, 9881])).
% 3.74/3.98 tff(14276,plain,
% 3.74/3.98 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 3.74/3.98 inference(symmetry,[status(thm)],[14275])).
% 3.74/3.98 tff(14277,plain,
% 3.74/3.98 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14276])).
% 3.74/3.98 tff(14278,plain,
% 3.74/3.98 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3121, 12214])).
% 3.74/3.98 tff(14279,plain,
% 3.74/3.98 (~(s(s(s(z))) = elem!1)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14278, 14277])).
% 3.74/3.98 tff(14280,plain,
% 3.74/3.98 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[14276, 1052])).
% 3.74/3.98 tff(14281,plain,
% 3.74/3.98 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14280])).
% 3.74/3.98 tff(14282,plain,
% 3.74/3.98 (~(elem!1 = s(s(s(z))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14278, 14281])).
% 3.74/3.98 tff(14283,plain,
% 3.74/3.98 (~b(s(s(s(z))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3607, 3348, 12178, 1741, 12180])).
% 3.74/3.98 tff(14284,plain,
% 3.74/3.98 (r(s(s(s(z))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[437, 14283])).
% 3.74/3.98 tff(14285,plain,
% 3.74/3.98 (~(elem!1 = s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[696, 14273])).
% 3.74/3.98 tff(14286,plain,
% 3.74/3.98 (~b(s(s(s(elem!1))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14244, 338, 14264, 12178, 3348, 987, 555])).
% 3.74/3.98 tff(14287,plain,
% 3.74/3.98 (~b(elem!1, s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[12610, 14286, 14257])).
% 3.74/3.98 tff(14288,plain,
% 3.74/3.98 (r(elem!1, s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[819, 14287, 14285])).
% 3.74/3.98 tff(14289,plain,
% 3.74/3.98 (~b(s(s(s(z))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[10390, 14288, 14284, 1039, 14282, 108])).
% 3.74/3.98 tff(14290,plain,
% 3.74/3.98 (r(s(s(s(z))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1110, 14289, 14279])).
% 3.74/3.98 tff(14291,plain,
% 3.74/3.98 (~r(s(z), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3164, 14290, 234])).
% 3.74/3.98 tff(14292,plain,
% 3.74/3.98 (b(s(z), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[701, 14291, 14273])).
% 3.74/3.98 tff(14293,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14292, 14272])).
% 3.74/3.98 tff(14294,plain,((~b(z, s(s(s(z))))) | (~r(z, elem!1)) | (s(s(s(s(z)))) = elem!1) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | b(s(z), s(s(elem!1))) | b(z, s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(14295,plain,
% 3.74/3.98 (~b(z, s(s(s(z))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14294, 13999, 234, 13921, 13923, 13919, 137, 10433, 12171, 140, 6387, 14135])).
% 3.74/3.98 tff(14296,plain,
% 3.74/3.98 (r(z, s(s(s(z))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[149, 14295])).
% 3.74/3.98 tff(14297,plain,
% 3.74/3.98 (elem!1 = s(s(s(elem!1)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[7576, 1353, 165, 234, 137])).
% 3.74/3.98 tff(14298,plain,
% 3.74/3.98 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14297])).
% 3.74/3.98 tff(14299,plain,
% 3.74/3.98 (b(s(s(s(z))), s(s(s(elem!1)))) <=> b(s(s(s(z))), elem!1)),
% 3.74/3.98 inference(symmetry,[status(thm)],[14298])).
% 3.74/3.98 tff(14300,plain,
% 3.74/3.98 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3121, 10614])).
% 3.74/3.98 tff(14301,plain,
% 3.74/3.98 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3303, 14300])).
% 3.74/3.98 tff(14302,plain,
% 3.74/3.98 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[8491, 1353, 164])).
% 3.74/3.98 tff(14303,plain,
% 3.74/3.98 (b(s(s(s(z))), s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3784, 14302, 14301])).
% 3.74/3.98 tff(14304,plain,
% 3.74/3.98 (b(s(s(s(z))), elem!1)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14303, 14299])).
% 3.74/3.98 tff(14305,plain,
% 3.74/3.98 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14297])).
% 3.74/3.98 tff(14306,plain,
% 3.74/3.98 ((s(s(s(z))) = elem!1) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[14305, 9881])).
% 3.74/3.98 tff(14307,plain,
% 3.74/3.98 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 3.74/3.98 inference(symmetry,[status(thm)],[14306])).
% 3.74/3.98 tff(14308,plain,
% 3.74/3.98 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[14307, 1052])).
% 3.74/3.98 tff(14309,plain,
% 3.74/3.98 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14308])).
% 3.74/3.98 tff(14310,plain,
% 3.74/3.98 (~(elem!1 = s(s(s(z))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14300, 14309])).
% 3.74/3.98 tff(14311,plain,
% 3.74/3.98 (b(elem!1, s(s(s(z))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1160, 14310, 10944])).
% 3.74/3.98 tff(14312,plain,
% 3.74/3.98 (~b(s(s(s(z))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[4092, 14311, 1122, 486, 987, 1130, 14304])).
% 3.74/3.98 tff(14313,plain,
% 3.74/3.98 (r(s(s(s(z))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[437, 14312])).
% 3.74/3.98 tff(14314,plain,
% 3.74/3.98 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[2389, 14311, 1130, 14304, 987])).
% 3.74/3.98 tff(14315,plain,
% 3.74/3.98 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[689, 14314])).
% 3.74/3.98 tff(14316,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3708, 14315, 14313, 108])).
% 3.74/3.98 tff(14317,plain,((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(14318,plain,
% 3.74/3.98 (~r(z, s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14317, 14296, 14000, 13923, 12174, 12180, 162, 234, 137, 13921])).
% 3.74/3.98 tff(14319,plain,
% 3.74/3.98 (b(z, s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1373, 14318])).
% 3.74/3.98 tff(14320,plain,
% 3.74/3.98 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[5128, 82, 13859, 12174])).
% 3.74/3.98 tff(14321,plain,
% 3.74/3.98 (~b(elem!1, z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14237, 338, 763, 1597, 315, 314, 1620])).
% 3.74/3.98 tff(14322,plain,
% 3.74/3.98 (r(elem!1, z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[846, 14321, 719])).
% 3.74/3.98 tff(14323,plain,
% 3.74/3.98 (~b(s(s(s(s(z)))), s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[8621, 14322, 1122, 314, 1063, 1039, 315])).
% 3.74/3.98 tff(14324,plain,
% 3.74/3.98 (s(s(s(s(z)))) = s(elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[4914, 14323, 4908])).
% 3.74/3.98 tff(14325,plain,
% 3.74/3.98 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14324])).
% 3.74/3.98 tff(14326,plain,
% 3.74/3.98 (s(s(s(z))) = elem!1),
% 3.74/3.98 inference(transitivity,[status(thm)],[45, 14325, 199])).
% 3.74/3.98 tff(14327,plain,
% 3.74/3.98 (b(s(s(s(z))), z) <=> b(elem!1, z)),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14326])).
% 3.74/3.98 tff(14328,plain,
% 3.74/3.98 (b(elem!1, z) <=> b(s(s(s(z))), z)),
% 3.74/3.98 inference(symmetry,[status(thm)],[14327])).
% 3.74/3.98 tff(14329,plain,
% 3.74/3.98 ((~b(elem!1, z)) <=> (~b(s(s(s(z))), z))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14328])).
% 3.74/3.98 tff(14330,plain,
% 3.74/3.98 (~b(s(s(s(z))), z)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14321, 14329])).
% 3.74/3.98 tff(14331,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1741, 14330])).
% 3.74/3.98 tff(14332,plain,((~b(elem!1, s(elem!1))) | (~b(s(s(s(z))), z)) | r(s(s(s(s(z)))), s(elem!1)) | (~r(s(s(s(s(z)))), z)) | (~b(s(elem!1), elem!1)) | (s(s(s(s(z)))) = elem!1) | (elem!1 = z) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(14333,plain,
% 3.74/3.98 (~b(elem!1, s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14332, 14135, 14320, 12174, 13863, 13999, 12170, 12168, 13855, 13861])).
% 3.74/3.98 tff(14334,plain,
% 3.74/3.98 (r(elem!1, s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[252, 14333, 232])).
% 3.74/3.98 tff(14335,plain,
% 3.74/3.98 (~b(z, elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[12827, 14333, 162, 6387, 10433, 13864, 14319, 137, 225])).
% 3.74/3.98 tff(14336,plain,
% 3.74/3.98 (~(s(s(s(elem!1))) = elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[2149, 14335, 14319])).
% 3.74/3.98 tff(14337,plain,
% 3.74/3.98 (~(elem!1 = s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1924, 14336])).
% 3.74/3.98 tff(14338,plain,
% 3.74/3.98 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11736, 14337, 10433, 14334, 2180, 12168, 12176])).
% 3.74/3.98 tff(14339,plain,
% 3.74/3.98 (b(s(s(s(elem!1))), s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1971, 14338, 218])).
% 3.74/3.98 tff(14340,plain,
% 3.74/3.98 (r(elem!1, s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1946, 14337, 13864])).
% 3.74/3.98 tff(14341,plain,
% 3.74/3.98 (~r(s(s(s(elem!1))), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14225, 14340, 234, 197, 14319, 12170, 14336])).
% 3.74/3.98 tff(14342,plain,
% 3.74/3.98 (b(s(s(s(elem!1))), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1387, 14341])).
% 3.74/3.98 tff(14343,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1829, 14342, 14339, 162, 13855, 6853, 13863, 14319, 12168])).
% 3.74/3.98 tff(14344,plain,((elem!1 = s(s(elem!1))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(z), s(s(elem!1))) | b(z, s(s(elem!1))) | b(s(s(s(s(z)))), z) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(14345,plain,
% 3.74/3.98 (elem!1 = s(s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14344, 12171, 6387, 234, 140, 12173, 2605])).
% 3.74/3.98 tff(14346,plain,
% 3.74/3.98 (s(s(s(elem!1))) = s(elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1418, 14345])).
% 3.74/3.98 tff(14347,plain,
% 3.74/3.98 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1428, 14346])).
% 3.74/3.98 tff(14348,plain,
% 3.74/3.98 (s(s(elem!1)) = elem!1),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[2015, 14345])).
% 3.74/3.98 tff(14349,plain,
% 3.74/3.98 (r(s(z), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[13678, 14348, 12171])).
% 3.74/3.98 tff(14350,plain,
% 3.74/3.98 (~r(s(s(s(z))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3164, 14349, 234])).
% 3.74/3.98 tff(14351,plain,
% 3.74/3.98 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14345])).
% 3.74/3.98 tff(14352,plain,
% 3.74/3.98 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = elem!1)),
% 3.74/3.98 inference(symmetry,[status(thm)],[14351])).
% 3.74/3.98 tff(14353,plain,
% 3.74/3.98 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(z))) = elem!1))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14352])).
% 3.74/3.98 tff(14354,plain,
% 3.74/3.98 (~(s(s(s(z))) = elem!1)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14347, 14353])).
% 3.74/3.98 tff(14355,plain,
% 3.74/3.98 (b(s(s(s(z))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1110, 14354, 14350])).
% 3.74/3.98 tff(14356,plain,
% 3.74/3.98 (b(s(s(s(z))), s(s(elem!1)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3471, 14355, 14345])).
% 3.74/3.98 tff(14357,plain,
% 3.74/3.98 (~r(s(s(s(z))), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14132, 14356, 234, 12174, 12175, 12167, 12180, 12206, 12171, 14347])).
% 3.74/3.98 tff(14358,plain,
% 3.74/3.98 (b(s(s(s(z))), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[135, 14357])).
% 3.74/3.98 tff(14359,plain,
% 3.74/3.98 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14346])).
% 3.74/3.98 tff(14360,plain,
% 3.74/3.98 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.98 inference(symmetry,[status(thm)],[14359])).
% 3.74/3.98 tff(14361,plain,
% 3.74/3.98 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14346])).
% 3.74/3.98 tff(14362,plain,
% 3.74/3.98 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[14361, 3630])).
% 3.74/3.98 tff(14363,plain,
% 3.74/3.98 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14362])).
% 3.74/3.98 tff(14364,plain,
% 3.74/3.98 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1431, 14345])).
% 3.74/3.98 tff(14365,plain,
% 3.74/3.98 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14364, 14363])).
% 3.74/3.98 tff(14366,plain,
% 3.74/3.98 (b(elem!1, s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14345])).
% 3.74/3.98 tff(14367,plain,
% 3.74/3.98 (b(s(s(elem!1)), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.74/3.98 inference(symmetry,[status(thm)],[14366])).
% 3.74/3.98 tff(14368,plain,
% 3.74/3.98 ((~b(s(s(elem!1)), s(elem!1))) <=> (~b(elem!1, s(elem!1)))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14367])).
% 3.74/3.98 tff(14369,plain,
% 3.74/3.98 (~b(elem!1, s(elem!1))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[2605, 14368])).
% 3.74/3.98 tff(14370,plain,
% 3.74/3.98 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14345])).
% 3.74/3.98 tff(14371,plain,
% 3.74/3.98 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.74/3.98 inference(symmetry,[status(thm)],[14370])).
% 3.74/3.98 tff(14372,plain,
% 3.74/3.98 (s(elem!1) = s(s(s(elem!1)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[217, 14346])).
% 3.74/3.98 tff(14373,plain,
% 3.74/3.98 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3225, 14372])).
% 3.74/3.98 tff(14374,plain,
% 3.74/3.98 (elem!1 = s(s(s(s(elem!1))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14373, 14371])).
% 3.74/3.98 tff(14375,plain,
% 3.74/3.98 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(s(elem!1)))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14345])).
% 3.74/3.98 tff(14376,plain,
% 3.74/3.98 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), elem!1)),
% 3.74/3.98 inference(symmetry,[status(thm)],[14375])).
% 3.74/3.98 tff(14377,plain,
% 3.74/3.98 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14346])).
% 3.74/3.98 tff(14378,plain,
% 3.74/3.98 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), elem!1)),
% 3.74/3.98 inference(transitivity,[status(thm)],[14377, 14376])).
% 3.74/3.98 tff(14379,plain,
% 3.74/3.98 (b(s(elem!1), elem!1)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[6387, 14378])).
% 3.74/3.98 tff(14380,plain,
% 3.74/3.98 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14345])).
% 3.74/3.98 tff(14381,plain,
% 3.74/3.98 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.98 inference(symmetry,[status(thm)],[14380])).
% 3.74/3.98 tff(14382,plain,
% 3.74/3.98 (s(s(elem!1)) = elem!1),
% 3.74/3.98 inference(symmetry,[status(thm)],[14345])).
% 3.74/3.98 tff(14383,plain,
% 3.74/3.98 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 3.74/3.98 inference(symmetry,[status(thm)],[14373])).
% 3.74/3.98 tff(14384,plain,
% 3.74/3.98 (s(s(s(s(elem!1)))) = elem!1),
% 3.74/3.98 inference(transitivity,[status(thm)],[14383, 14382])).
% 3.74/3.98 tff(14385,plain,
% 3.74/3.98 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(elem!1, elem!1)),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14384, 14382])).
% 3.74/3.98 tff(14386,plain,
% 3.74/3.98 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.74/3.98 inference(symmetry,[status(thm)],[14385])).
% 3.74/3.98 tff(14387,plain,
% 3.74/3.98 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.98 inference(transitivity,[status(thm)],[14386, 14381])).
% 3.74/3.98 tff(14388,plain,
% 3.74/3.98 ((~b(elem!1, elem!1)) <=> (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14387])).
% 3.74/3.98 tff(14389,plain,
% 3.74/3.98 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[7551, 14388])).
% 3.74/3.98 tff(14390,plain,
% 3.74/3.98 (~(s(s(s(elem!1))) = elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[6576, 14389, 14379])).
% 3.74/3.98 tff(14391,plain,
% 3.74/3.98 (~(elem!1 = s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[10900, 14390, 14374])).
% 3.74/3.98 tff(14392,plain,
% 3.74/3.98 (r(elem!1, s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[252, 14391, 14369])).
% 3.74/3.98 tff(14393,plain,
% 3.74/3.98 (~r(z, s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[243, 14392, 234])).
% 3.74/3.98 tff(14394,plain,
% 3.74/3.98 (b(z, s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1615, 14393])).
% 3.74/3.98 tff(14395,plain,
% 3.74/3.98 (~r(s(z), s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1981, 14392, 14349])).
% 3.74/3.98 tff(14396,plain,
% 3.74/3.98 (b(s(z), s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3066, 14395, 12215])).
% 3.74/3.98 tff(14397,plain,
% 3.74/3.98 (~b(s(elem!1), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[4302, 14396, 12180, 14394, 12178])).
% 3.74/3.98 tff(14398,plain,
% 3.74/3.98 (r(s(elem!1), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1812, 14397])).
% 3.74/3.98 tff(14399,plain,
% 3.74/3.98 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[5121, 82, 14398, 12174])).
% 3.74/3.98 tff(14400,plain,
% 3.74/3.98 (b(s(elem!1), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3668, 21, 14399, 14365])).
% 3.74/3.98 tff(14401,plain,
% 3.74/3.98 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14400, 14360])).
% 3.74/3.98 tff(14402,plain,
% 3.74/3.98 (r(s(s(s(s(z)))), s(s(s(elem!1)))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14346])).
% 3.74/3.98 tff(14403,plain,
% 3.74/3.98 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.98 inference(symmetry,[status(thm)],[14402])).
% 3.74/3.98 tff(14404,plain,
% 3.74/3.98 ((~r(s(s(s(s(z)))), s(elem!1))) <=> (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14403])).
% 3.74/3.98 tff(14405,plain,
% 3.74/3.98 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[5128, 82, 14398, 12174])).
% 3.74/3.98 tff(14406,plain,
% 3.74/3.98 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 3.74/3.98 tff(14407,plain,
% 3.74/3.98 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3768, 14406, 14364])).
% 3.74/3.98 tff(14408,plain,
% 3.74/3.98 (~r(s(z), s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[13803, 14395, 14346])).
% 3.74/3.98 tff(14409,plain,
% 3.74/3.98 (b(s(z), s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1870, 14408])).
% 3.74/3.98 tff(14410,plain,
% 3.74/3.98 (b(s(s(s(elem!1))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[8982, 14345, 6387])).
% 3.74/3.98 tff(14411,plain,
% 3.74/3.98 (r(s(s(s(elem!1))), z) <=> r(s(elem!1), z)),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14346])).
% 3.74/3.98 tff(14412,plain,
% 3.74/3.98 (r(s(elem!1), z) <=> r(s(s(s(elem!1))), z)),
% 3.74/3.98 inference(symmetry,[status(thm)],[14411])).
% 3.74/3.98 tff(14413,plain,
% 3.74/3.98 (r(s(s(s(elem!1))), z)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14398, 14412])).
% 3.74/3.98 tff(14414,plain,
% 3.74/3.98 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.74/3.98 inference(transitivity,[status(thm)],[3232, 1058])).
% 3.74/3.98 tff(14415,plain,
% 3.74/3.98 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14414])).
% 3.74/3.98 tff(14416,plain,
% 3.74/3.98 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[3187, 14415])).
% 3.74/3.98 tff(14417,plain,
% 3.74/3.98 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = s(s(s(s(z))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[3745])).
% 3.74/3.98 tff(14418,plain,
% 3.74/3.98 (~(s(s(s(elem!1))) = s(s(s(s(z)))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[1410, 14417])).
% 3.74/3.98 tff(14419,plain,
% 3.74/3.98 ((s(s(s(elem!1))) = s(s(s(s(z))))) | b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3758, 21, 3755])).
% 3.74/3.98 tff(14420,plain,
% 3.74/3.98 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14419, 14418])).
% 3.74/3.98 tff(14421,plain,
% 3.74/3.98 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3766, 21, 3738, 1410])).
% 3.74/3.98 tff(14422,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(14423,plain,
% 3.74/3.98 (((~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(14424,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14423])).
% 3.74/3.98 tff(14425,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[14424, 14422])).
% 3.74/3.98 tff(14426,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(14427,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 3.74/3.98 tff(14428,plain,
% 3.74/3.98 (~b(s(s(s(s(z)))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14427, 338, 2636, 831, 1880, 5431, 14421])).
% 3.74/3.98 tff(14429,plain,
% 3.74/3.98 (r(s(s(s(s(z)))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[119, 14428])).
% 3.74/3.98 tff(14430,plain,
% 3.74/3.98 (~r(s(s(s(s(z)))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3417, 14429, 754])).
% 3.74/3.98 tff(14431,plain,
% 3.74/3.98 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1144, 14430, 1039])).
% 3.74/3.98 tff(14432,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(14433,plain,
% 3.74/3.98 (((~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(14434,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[14433])).
% 3.74/3.98 tff(14435,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[14434, 14432])).
% 3.74/3.98 tff(14436,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(14437,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[14436, 14435])).
% 3.74/3.98 tff(14438,plain,
% 3.74/3.98 (~b(s(z), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14437, 338, 2636, 831, 1880, 5431, 14421])).
% 3.74/3.98 tff(14439,plain,
% 3.74/3.98 (r(s(z), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[106, 14438])).
% 3.74/3.98 tff(14440,plain,
% 3.74/3.98 (~r(elem!1, s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3247, 14439, 754])).
% 3.74/3.98 tff(14441,plain,
% 3.74/3.98 (b(elem!1, s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1094, 14440, 2444])).
% 3.74/3.98 tff(14442,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[13733, 14441, 14431, 2636, 14421, 14420])).
% 3.74/3.98 tff(14443,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (elem!1 = s(s(s(s(z))))) | (s(s(s(s(z)))) = elem!1) | (~r(s(z), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (s(s(s(s(z)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(14444,plain,
% 3.74/3.98 (~b(elem!1, s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[14443, 1122, 1880, 754, 14416, 3234, 2636, 5431, 1410, 1301])).
% 3.74/3.98 tff(14445,plain,
% 3.74/3.98 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3317, 14444, 3226, 10908])).
% 3.74/3.98 tff(14446,plain,
% 3.74/3.98 (~b(s(z), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[8458, 14420, 5431, 1880, 14421])).
% 3.74/3.98 tff(14447,plain,
% 3.74/3.98 (r(s(z), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[106, 14446])).
% 3.74/3.98 tff(14448,plain,
% 3.74/3.98 (~r(s(s(s(s(z)))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[2949, 14447, 754])).
% 3.74/3.98 tff(14449,plain,
% 3.74/3.98 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1144, 14448, 1039])).
% 3.74/3.98 tff(14450,plain,
% 3.74/3.98 (~b(elem!1, s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[13733, 14449, 2636, 14421, 14420])).
% 3.74/3.99 tff(14451,plain,
% 3.74/3.99 (r(elem!1, s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1094, 14450, 2444])).
% 3.74/3.99 tff(14452,plain,
% 3.74/3.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14453,plain,
% 3.74/3.99 (((~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))) | (~r(elem!1, s(z)))) <=> ((~r(elem!1, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14454,plain,
% 3.74/3.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14453])).
% 3.74/3.99 tff(14455,plain,
% 3.74/3.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))) | (~r(elem!1, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[14454, 14452])).
% 3.74/3.99 tff(14456,plain,
% 3.74/3.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z)))))) | (~r(elem!1, s(z))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(14457,plain,
% 3.74/3.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(s(z))))))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14456, 14455])).
% 3.74/3.99 tff(14458,plain,
% 3.74/3.99 ($false),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14457, 82, 14451, 14447, 803])).
% 3.74/3.99 tff(14459,plain,((~r(s(s(s(s(z)))), z)) | (~r(elem!1, s(z))) | (elem!1 = s(s(s(s(z))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(s(s(s(z)))) = elem!1) | (~r(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (s(s(s(s(z)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.99 tff(14460,plain,
% 3.74/3.99 (~r(elem!1, s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14459, 1122, 1880, 754, 14416, 3234, 5431, 2636, 1410, 1301])).
% 3.74/3.99 tff(14461,plain,
% 3.74/3.99 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[10928, 14460, 1414])).
% 3.74/3.99 tff(14462,plain,
% 3.74/3.99 ($false),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1585, 14461, 14445])).
% 3.74/3.99 tff(14463,plain,((~r(s(s(s(s(z)))), z)) | (~(elem!1 = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (s(s(s(s(z)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.99 tff(14464,plain,
% 3.74/3.99 (~b(s(s(s(elem!1))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14463, 14413, 12174, 14410, 14349, 14345, 14364, 14409])).
% 3.74/3.99 tff(14465,plain,
% 3.74/3.99 (r(s(s(s(elem!1))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1990, 14464])).
% 3.74/3.99 tff(14466,plain,
% 3.74/3.99 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14361])).
% 3.74/3.99 tff(14467,plain,
% 3.74/3.99 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14364, 14466])).
% 3.74/3.99 tff(14468,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), s(elem!1))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[4914, 14405, 14467])).
% 3.74/3.99 tff(14469,plain,
% 3.74/3.99 (b(s(elem!1), s(s(elem!1)))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[6387, 14377])).
% 3.74/3.99 tff(14470,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14471,plain,
% 3.74/3.99 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14472,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z))))))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14471])).
% 3.74/3.99 tff(14473,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[14472, 14470])).
% 3.74/3.99 tff(14474,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(14475,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z))))))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14474, 14473])).
% 3.74/3.99 tff(14476,plain,
% 3.74/3.99 (~b(z, s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14475, 338, 14394, 14469, 12206, 14468, 14400])).
% 3.74/3.99 tff(14477,plain,
% 3.74/3.99 (r(z, s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[391, 14476])).
% 3.74/3.99 tff(14478,plain,
% 3.74/3.99 ((s(s(s(z))) = s(s(elem!1))) <=> (elem!1 = s(s(s(z))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[14352, 1052])).
% 3.74/3.99 tff(14479,plain,
% 3.74/3.99 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14478])).
% 3.74/3.99 tff(14480,plain,
% 3.74/3.99 (~(elem!1 = s(s(s(z))))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14347, 14479])).
% 3.74/3.99 tff(14481,plain,
% 3.74/3.99 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1287, 14390])).
% 3.74/3.99 tff(14482,plain,
% 3.74/3.99 (~(s(s(elem!1)) = s(elem!1))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1343, 14481])).
% 3.74/3.99 tff(14483,plain,
% 3.74/3.99 (r(s(s(elem!1)), s(elem!1))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[277, 14482, 2605])).
% 3.74/3.99 tff(14484,plain,
% 3.74/3.99 (~r(s(s(elem!1)), z)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[5958, 14398, 14483])).
% 3.74/3.99 tff(14485,plain,
% 3.74/3.99 (b(s(s(elem!1)), z)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[800, 14484])).
% 3.74/3.99 tff(14486,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14487,plain,
% 3.74/3.99 (((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14488,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14487])).
% 3.74/3.99 tff(14489,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[14488, 14486])).
% 3.74/3.99 tff(14490,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(14491,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14490, 14489])).
% 3.74/3.99 tff(14492,plain,
% 3.74/3.99 ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(elem!1)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14491, 338, 14485, 12178, 14469, 12206])).
% 3.74/3.99 tff(14493,plain,
% 3.74/3.99 (~b(s(s(elem!1)), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14492, 14468])).
% 3.74/3.99 tff(14494,plain,
% 3.74/3.99 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[10934, 14493, 14373])).
% 3.74/3.99 tff(14495,plain,
% 3.74/3.99 (r(s(s(s(s(elem!1)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1585, 14494])).
% 3.74/3.99 tff(14496,plain,
% 3.74/3.99 (r(elem!1, s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[10928, 14495, 14345])).
% 3.74/3.99 tff(14497,plain,
% 3.74/3.99 (~r(elem!1, s(s(s(z))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3358, 14496, 234, 12178, 14349])).
% 3.74/3.99 tff(14498,plain,
% 3.74/3.99 (b(elem!1, s(s(s(z))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1160, 14497, 14480])).
% 3.74/3.99 tff(14499,plain,
% 3.74/3.99 (b(s(s(elem!1)), s(s(s(z))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3458, 14498, 14345])).
% 3.74/3.99 tff(14500,plain,
% 3.74/3.99 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3236, 14345])).
% 3.74/3.99 tff(14501,plain,
% 3.74/3.99 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[379, 14477, 162])).
% 3.74/3.99 tff(14502,plain,
% 3.74/3.99 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[368, 14501, 14500])).
% 3.74/3.99 tff(14503,plain,
% 3.74/3.99 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3493, 14502, 14356, 12206, 14499])).
% 3.74/3.99 tff(14504,plain,
% 3.74/3.99 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[689, 14503])).
% 3.74/3.99 tff(14505,plain,
% 3.74/3.99 (~r(z, s(s(s(z))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[919, 14504, 14477])).
% 3.74/3.99 tff(14506,plain,
% 3.74/3.99 (b(z, s(s(s(z))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[149, 14505])).
% 3.74/3.99 tff(14507,plain,
% 3.74/3.99 (~b(s(s(s(z))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3607, 14506, 12178, 14358, 12180])).
% 3.74/3.99 tff(14508,plain,
% 3.74/3.99 (r(s(s(s(z))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[437, 14507])).
% 3.74/3.99 tff(14509,plain,
% 3.74/3.99 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3801, 14508, 14465, 14278, 14407, 14401])).
% 3.74/3.99 tff(14510,plain,
% 3.74/3.99 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1011, 14509])).
% 3.74/3.99 tff(14511,plain,
% 3.74/3.99 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[5636, 14510, 12174, 14358])).
% 3.74/3.99 tff(14512,plain,
% 3.74/3.99 (~r(elem!1, z)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[5192, 14392, 12180, 12178, 12215, 14349])).
% 3.74/3.99 tff(14513,plain,
% 3.74/3.99 (b(elem!1, z)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[846, 14512, 12170])).
% 3.74/3.99 tff(14514,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14345])).
% 3.74/3.99 tff(14515,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), elem!1)),
% 3.74/3.99 inference(symmetry,[status(thm)],[14514])).
% 3.74/3.99 tff(14516,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[12206, 14515])).
% 3.74/3.99 tff(14517,plain,
% 3.74/3.99 ((elem!1 = s(s(z))) <=> (s(s(elem!1)) = s(s(z)))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14345])).
% 3.74/3.99 tff(14518,plain,
% 3.74/3.99 ((elem!1 = s(s(z))) <=> (s(s(z)) = s(s(elem!1)))),
% 3.74/3.99 inference(transitivity,[status(thm)],[14517, 11240])).
% 3.74/3.99 tff(14519,plain,
% 3.74/3.99 ((s(s(z)) = s(s(elem!1))) <=> (elem!1 = s(s(z)))),
% 3.74/3.99 inference(symmetry,[status(thm)],[14518])).
% 3.74/3.99 tff(14520,plain,
% 3.74/3.99 ((~(s(s(z)) = s(s(elem!1)))) <=> (~(elem!1 = s(s(z))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14519])).
% 3.74/3.99 tff(14521,plain,
% 3.74/3.99 (~(s(s(elem!1)) = s(s(z)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[10916, 12214])).
% 3.74/3.99 tff(14522,plain,
% 3.74/3.99 (~(s(s(z)) = s(s(elem!1)))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14521, 11241])).
% 3.74/3.99 tff(14523,plain,
% 3.74/3.99 (~(elem!1 = s(s(z)))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14522, 14520])).
% 3.74/3.99 tff(14524,plain,
% 3.74/3.99 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[4175, 14510, 234, 12174, 14523, 14516, 14355, 14480, 12178, 14513, 12180, 14496, 14498])).
% 3.74/3.99 tff(14525,plain,
% 3.74/3.99 ($false),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[68, 14524, 14511])).
% 3.74/3.99 tff(14526,plain,(b(s(z), s(s(elem!1))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(z, s(s(elem!1))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 3.74/3.99 tff(14527,plain,
% 3.74/3.99 (b(s(z), s(s(elem!1)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14526, 12173, 2605, 6387, 140, 234])).
% 3.74/3.99 tff(14528,plain,
% 3.74/3.99 (~r(z, s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11602, 405, 165, 234, 12174, 6387])).
% 3.74/3.99 tff(14529,plain,
% 3.74/3.99 (~(elem!1 = s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[899, 14528, 234])).
% 3.74/3.99 tff(14530,plain,
% 3.74/3.99 (~(s(z) = elem!1)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[752, 14529])).
% 3.74/3.99 tff(14531,plain,
% 3.74/3.99 (b(s(z), elem!1)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[701, 14530, 760])).
% 3.74/3.99 tff(14532,plain,
% 3.74/3.99 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[2977, 405, 12174])).
% 3.74/3.99 tff(14533,plain,
% 3.74/3.99 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[106, 14532])).
% 3.74/3.99 tff(14534,plain,
% 3.74/3.99 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11562, 405, 12174])).
% 3.74/3.99 tff(14535,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[119, 14534])).
% 3.74/3.99 tff(14536,plain,
% 3.74/3.99 (b(z, s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[403, 14528])).
% 3.74/3.99 tff(14537,plain,
% 3.74/3.99 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), elem!1)),
% 3.74/3.99 inference(monotonicity,[status(thm)],[193])).
% 3.74/3.99 tff(14538,plain,
% 3.74/3.99 ((~r(s(s(s(z))), s(s(elem!1)))) <=> (~r(s(s(s(z))), elem!1))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14537])).
% 3.74/3.99 tff(14539,plain,
% 3.74/3.99 (r(s(s(elem!1)), s(z)) <=> r(elem!1, s(z))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[193])).
% 3.74/3.99 tff(14540,plain,
% 3.74/3.99 (r(elem!1, s(z)) <=> r(s(s(elem!1)), s(z))),
% 3.74/3.99 inference(symmetry,[status(thm)],[14539])).
% 3.74/3.99 tff(14541,plain,
% 3.74/3.99 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[2977, 405, 1122])).
% 3.74/3.99 tff(14542,plain,
% 3.74/3.99 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[106, 14541])).
% 3.74/3.99 tff(14543,plain,
% 3.74/3.99 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11562, 405, 1122])).
% 3.74/3.99 tff(14544,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[119, 14543])).
% 3.74/3.99 tff(14545,plain,
% 3.74/3.99 (~(s(s(s(z))) = s(elem!1))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[10460, 10483])).
% 3.74/3.99 tff(14546,plain,
% 3.74/3.99 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[4794, 14545])).
% 3.74/3.99 tff(14547,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[10478, 14546, 10476])).
% 3.74/3.99 tff(14548,plain,
% 3.74/3.99 (r(elem!1, s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11584, 14547, 760, 14544, 14542, 193])).
% 3.74/3.99 tff(14549,plain,
% 3.74/3.99 (r(s(s(elem!1)), s(z))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14548, 14540])).
% 3.74/3.99 tff(14550,plain,
% 3.74/3.99 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3236, 10482])).
% 3.74/3.99 tff(14551,plain,
% 3.74/3.99 (~r(s(s(s(z))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14054, 163, 786])).
% 3.74/3.99 tff(14552,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14553,plain,
% 3.74/3.99 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14554,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14553])).
% 3.74/3.99 tff(14555,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[14554, 14552])).
% 3.74/3.99 tff(14556,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(14557,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14556, 14555])).
% 3.74/3.99 tff(14558,plain,
% 3.74/3.99 ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14557, 338, 747, 458, 2911, 3484])).
% 3.74/3.99 tff(14559,plain,
% 3.74/3.99 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14558, 651])).
% 3.74/3.99 tff(14560,plain,
% 3.74/3.99 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[689, 14559])).
% 3.74/3.99 tff(14561,plain,
% 3.74/3.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14562,plain,
% 3.74/3.99 (((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(elem!1))))) <=> ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(14563,plain,
% 3.74/3.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[14562])).
% 3.74/3.99 tff(14564,plain,
% 3.74/3.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[14563, 14561])).
% 3.74/3.99 tff(14565,plain,
% 3.74/3.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(14566,plain,
% 3.74/3.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14565, 14564])).
% 3.74/3.99 tff(14567,plain,
% 3.74/3.99 ($false),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14566, 82, 911, 163, 370])).
% 3.74/3.99 tff(14568,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.99 tff(14569,plain,
% 3.74/3.99 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14568, 14560, 163])).
% 3.74/3.99 tff(14570,plain,
% 3.74/3.99 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[366, 21, 363, 14569])).
% 3.74/3.99 tff(14571,plain,
% 3.74/3.99 ($false),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11473, 338, 747, 651, 2911, 3484, 14570])).
% 3.74/3.99 tff(14572,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.99 tff(14573,plain,
% 3.74/3.99 (~b(s(s(s(z))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14572, 163, 747, 2911, 363, 651, 3484])).
% 3.74/3.99 tff(14574,plain,
% 3.74/3.99 ($false),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[437, 14573, 14551])).
% 3.74/3.99 tff(14575,plain,((~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.99 tff(14576,plain,
% 3.74/3.99 (~r(s(s(s(z))), s(s(elem!1)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[14575, 14550, 14544, 747, 14542, 14547, 14549])).
% 3.74/3.99 tff(14577,plain,
% 3.74/3.99 (~r(s(s(s(z))), elem!1)),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14576, 14538])).
% 3.74/3.99 tff(14578,plain,
% 3.74/3.99 (b(s(s(s(z))), elem!1)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1108, 21, 14577, 10485])).
% 3.74/3.99 tff(14579,plain,
% 3.74/3.99 (b(s(s(s(z))), s(s(elem!1)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3471, 14578, 10482])).
% 3.74/3.99 tff(14580,plain,
% 3.74/3.99 (~(elem!1 = s(s(s(z))))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[10484, 14074])).
% 3.74/3.99 tff(14581,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), elem!1)),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[14547, 11567])).
% 3.74/3.99 tff(14582,plain,
% 3.74/3.99 (~b(s(s(s(z))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[12516, 164, 1122, 405])).
% 3.74/3.99 tff(14583,plain,
% 3.74/3.99 (r(s(s(s(z))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[437, 14582])).
% 3.74/3.99 tff(14584,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[3464, 1130, 1414])).
% 3.74/3.99 tff(14585,plain,
% 3.74/3.99 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[2389, 12514, 2380, 1130, 10945])).
% 3.74/3.99 tff(14586,plain,
% 3.74/3.99 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[689, 14585])).
% 3.74/3.99 tff(14587,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14588,plain,
% 3.74/4.00 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14589,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[14588])).
% 3.74/4.00 tff(14590,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.00 inference(transitivity,[status(thm)],[14589, 14587])).
% 3.74/4.00 tff(14591,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.00 inference(quant_inst,[status(thm)],[])).
% 3.74/4.00 tff(14592,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[14591, 14590])).
% 3.74/4.00 tff(14593,plain,
% 3.74/4.00 (~b(s(s(s(z))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14592, 338, 747, 12514, 3254, 10946, 14584])).
% 3.74/4.00 tff(14594,plain,
% 3.74/4.00 (r(s(s(s(z))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[437, 14593])).
% 3.74/4.00 tff(14595,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[3708, 14594, 14586])).
% 3.74/4.00 tff(14596,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[119, 14595])).
% 3.74/4.00 tff(14597,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14598,plain,
% 3.74/4.00 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14599,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[14598])).
% 3.74/4.00 tff(14600,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/4.00 inference(transitivity,[status(thm)],[14599, 14597])).
% 3.74/4.00 tff(14601,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.74/4.00 inference(quant_inst,[status(thm)],[])).
% 3.74/4.00 tff(14602,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[14601, 14600])).
% 3.74/4.00 tff(14603,plain,
% 3.74/4.00 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14602, 338, 12514, 3254, 10946, 14584])).
% 3.74/4.00 tff(14604,plain,
% 3.74/4.00 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[368, 14603, 3237])).
% 3.74/4.00 tff(14605,plain,
% 3.74/4.00 (~r(s(s(elem!1)), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14044, 14604, 1122])).
% 3.74/4.00 tff(14606,plain,
% 3.74/4.00 (b(s(s(elem!1)), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[800, 14605])).
% 3.74/4.00 tff(14607,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14608,plain,
% 3.74/4.00 (((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14609,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[14608])).
% 3.74/4.00 tff(14610,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.00 inference(transitivity,[status(thm)],[14609, 14607])).
% 3.74/4.00 tff(14611,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.74/4.00 inference(quant_inst,[status(thm)],[])).
% 3.74/4.00 tff(14612,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[14611, 14610])).
% 3.74/4.00 tff(14613,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14612, 338, 14606, 747, 1741, 14596, 10946, 14584])).
% 3.74/4.00 tff(14614,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~(elem!1 = s(s(elem!1)))) | (elem!1 = s(s(s(z)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(14615,plain,
% 3.74/4.00 (~b(s(s(s(z))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14614, 164, 1122, 747, 3472, 2380, 1130, 1414, 1050, 234])).
% 3.74/4.00 tff(14616,plain,
% 3.74/4.00 (r(s(s(s(z))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[135, 14615])).
% 3.74/4.00 tff(14617,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[432, 14616, 14583, 405])).
% 3.74/4.00 tff(14618,plain,((~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~(elem!1 = s(s(elem!1)))) | (elem!1 = s(s(s(z)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(14619,plain,
% 3.74/4.00 (~r(z, s(s(s(z))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14618, 14578, 1122, 747, 405, 14581, 10482, 14580, 234])).
% 3.74/4.00 tff(14620,plain,
% 3.74/4.00 (b(z, s(s(s(z))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[149, 14619])).
% 3.74/4.00 tff(14621,plain,
% 3.74/4.00 (~r(elem!1, z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[811, 14548, 405])).
% 3.74/4.00 tff(14622,plain,
% 3.74/4.00 (b(elem!1, z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[846, 14621, 719])).
% 3.74/4.00 tff(14623,plain,
% 3.74/4.00 (b(s(z), elem!1)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[701, 11575, 760])).
% 3.74/4.00 tff(14624,plain,
% 3.74/4.00 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[193])).
% 3.74/4.00 tff(14625,plain,
% 3.74/4.00 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.74/4.00 inference(transitivity,[status(thm)],[14624, 1058])).
% 3.74/4.00 tff(14626,plain,
% 3.74/4.00 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[14625])).
% 3.74/4.00 tff(14627,plain,
% 3.74/4.00 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[14550, 14626])).
% 3.74/4.00 tff(14628,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14629,plain,
% 3.74/4.00 (((~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14630,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[14629])).
% 3.74/4.00 tff(14631,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.00 inference(transitivity,[status(thm)],[14630, 14628])).
% 3.74/4.00 tff(14632,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.74/4.00 inference(quant_inst,[status(thm)],[])).
% 3.74/4.00 tff(14633,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[14632, 14631])).
% 3.74/4.00 tff(14634,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14633, 338, 1131, 706, 3348, 2381, 2911, 1130])).
% 3.74/4.00 tff(14635,plain,((~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(14636,plain,
% 3.74/4.00 (~b(elem!1, s(s(s(z))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14635, 4124, 706, 1131, 2911, 1130])).
% 3.74/4.00 tff(14637,plain,
% 3.74/4.00 (r(elem!1, s(s(s(z))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1160, 14636, 1050])).
% 3.74/4.00 tff(14638,plain,
% 3.74/4.00 (~r(s(s(s(z))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[3335, 14637, 803])).
% 3.74/4.00 tff(14639,plain,
% 3.74/4.00 (b(s(s(s(z))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[437, 14638])).
% 3.74/4.00 tff(14640,plain,
% 3.74/4.00 (~b(s(s(elem!1)), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11064, 14639, 747, 2911, 11006, 1414, 1039, 1050, 1038, 3254, 3226, 234, 4124])).
% 3.74/4.00 tff(14641,plain,
% 3.74/4.00 (r(s(s(elem!1)), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[784, 778])).
% 3.74/4.00 tff(14642,plain,
% 3.74/4.00 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[10934, 778, 1494])).
% 3.74/4.00 tff(14643,plain,
% 3.74/4.00 (r(s(s(s(s(elem!1)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1585, 14642])).
% 3.74/4.00 tff(14644,plain,
% 3.74/4.00 (r(elem!1, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[10928, 14643, 1414])).
% 3.74/4.00 tff(14645,plain,
% 3.74/4.00 (~r(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[8266, 14644, 234])).
% 3.74/4.00 tff(14646,plain,
% 3.74/4.00 (b(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[403, 14645])).
% 3.74/4.00 tff(14647,plain,
% 3.74/4.00 (~b(s(z), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[3607, 14646, 1741, 3348, 458])).
% 3.74/4.00 tff(14648,plain,
% 3.74/4.00 (r(s(z), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[26, 14647])).
% 3.74/4.00 tff(14649,plain,
% 3.74/4.00 (~r(s(s(elem!1)), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[792, 14648, 14641])).
% 3.74/4.00 tff(14650,plain,
% 3.74/4.00 (b(s(s(elem!1)), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[800, 14649])).
% 3.74/4.00 tff(14651,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14652,plain,
% 3.74/4.00 (((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(14653,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[14652])).
% 3.74/4.00 tff(14654,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.74/4.00 inference(transitivity,[status(thm)],[14653, 14651])).
% 3.74/4.00 tff(14655,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))),
% 3.74/4.00 inference(quant_inst,[status(thm)],[])).
% 3.74/4.00 tff(14656,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[14655, 14654])).
% 3.74/4.00 tff(14657,plain,
% 3.74/4.00 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14656, 338, 14650, 747, 1741, 458, 3254])).
% 3.74/4.00 tff(14658,plain,
% 3.74/4.00 (r(s(s(elem!1)), s(s(s(z))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1211, 21, 14657, 6879])).
% 3.74/4.00 tff(14659,plain,
% 3.74/4.00 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11053, 82, 1038, 14658])).
% 3.74/4.00 tff(14660,plain,
% 3.74/4.00 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[368, 14659, 3237])).
% 3.74/4.00 tff(14661,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11562, 14648, 1122])).
% 3.74/4.00 tff(14662,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[119, 14661])).
% 3.74/4.00 tff(14663,plain,
% 3.74/4.00 (~r(s(z), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[2977, 14648, 1122])).
% 3.74/4.00 tff(14664,plain,
% 3.74/4.00 (b(s(z), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[106, 14663])).
% 3.74/4.00 tff(14665,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11473, 338, 747, 14664, 14662, 3484, 14660])).
% 3.74/4.00 tff(14666,plain,(b(s(s(elem!1)), s(z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~r(z, elem!1)) | (~(elem!1 = s(s(elem!1)))) | (~(s(s(elem!1)) = s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(14667,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14666, 14640, 14639, 747, 3254, 11006, 1038, 3484, 10725, 1122, 4124, 234, 1414, 3226])).
% 3.74/4.00 tff(14668,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, elem!1)) | (~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (s(s(s(s(z)))) = elem!1) | (elem!1 = s(s(s(z)))) | (~r(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(14669,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[14668, 14579, 747, 14547, 1122, 234, 10482, 14544, 14627, 14580, 14548, 14623, 14622, 14581])).
% 3.74/4.01 tff(14670,plain,
% 3.74/4.01 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1011, 14669])).
% 3.74/4.01 tff(14671,plain,
% 3.74/4.01 (~b(elem!1, s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14635, 14620, 14623, 14622, 14544, 14581])).
% 3.74/4.01 tff(14672,plain,
% 3.74/4.01 (r(elem!1, s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1160, 14671, 14580])).
% 3.74/4.01 tff(14673,plain,
% 3.74/4.01 (~r(s(s(s(z))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3335, 14672, 14548])).
% 3.74/4.01 tff(14674,plain,
% 3.74/4.01 (b(s(s(s(z))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[437, 14673])).
% 3.74/4.01 tff(14675,plain,
% 3.74/4.01 (~b(s(z), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3607, 458, 1741, 3348, 486])).
% 3.74/4.01 tff(14676,plain,
% 3.74/4.01 (r(s(z), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[26, 14675])).
% 3.74/4.01 tff(14677,plain,
% 3.74/4.01 ((~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11163, 338, 747, 3348, 987, 3254])).
% 3.74/4.01 tff(14678,plain,
% 3.74/4.01 (~b(z, s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14677, 458])).
% 3.74/4.01 tff(14679,plain,
% 3.74/4.01 (r(z, s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[391, 14678])).
% 3.74/4.01 tff(14680,plain,
% 3.74/4.01 (~r(s(z), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[552, 14679, 14676])).
% 3.74/4.01 tff(14681,plain,
% 3.74/4.01 (b(s(z), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[106, 14680])).
% 3.74/4.01 tff(14682,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14683,plain,
% 3.74/4.01 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14684,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14683])).
% 3.74/4.01 tff(14685,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.74/4.01 inference(transitivity,[status(thm)],[14684, 14682])).
% 3.74/4.01 tff(14686,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.74/4.01 inference(quant_inst,[status(thm)],[])).
% 3.74/4.01 tff(14687,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[14686, 14685])).
% 3.74/4.01 tff(14688,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14687, 338, 747, 458, 987, 14681, 2911, 3484])).
% 3.74/4.01 tff(14689,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(14690,plain,
% 3.74/4.01 (~b(s(s(s(z))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14689, 14674, 747, 486, 14547, 14670, 14620, 14544, 14579])).
% 3.74/4.01 tff(14691,plain,
% 3.74/4.01 (r(s(s(s(z))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[135, 14690])).
% 3.74/4.01 tff(14692,plain,
% 3.74/4.01 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[5782, 14674, 14542, 14544, 14670])).
% 3.74/4.01 tff(14693,plain,
% 3.74/4.01 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[689, 14692])).
% 3.74/4.01 tff(14694,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3603, 14693, 14691, 1122])).
% 3.74/4.01 tff(14695,plain,((~(s(s(elem!1)) = elem!1)) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~r(s(z), z)) | (~r(z, elem!1)) | (elem!1 = z) | r(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(14696,plain,
% 3.74/4.01 (~(s(s(elem!1)) = elem!1)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14695, 14536, 747, 12174, 405, 234, 10544, 12184])).
% 3.74/4.01 tff(14697,plain,
% 3.74/4.01 (~(elem!1 = s(s(elem!1)))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[2015, 14696])).
% 3.74/4.01 tff(14698,plain,
% 3.74/4.01 (b(elem!1, s(s(elem!1)))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[321, 14697, 288])).
% 3.74/4.01 tff(14699,plain,
% 3.74/4.01 (b(s(s(elem!1)), elem!1)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[327, 14696, 263])).
% 3.74/4.01 tff(14700,plain,
% 3.74/4.01 (b(s(s(s(s(z)))), s(z)) <=> b(elem!1, s(z))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[1013])).
% 3.74/4.01 tff(14701,plain,
% 3.74/4.01 (b(elem!1, s(z))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[2911, 14700])).
% 3.74/4.01 tff(14702,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[837, 338, 763, 762, 13877, 747, 14701])).
% 3.74/4.01 tff(14703,plain,((~(s(s(s(s(z)))) = elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(14704,plain,
% 3.74/4.01 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14703, 14699, 14698, 747, 14535, 14533])).
% 3.74/4.01 tff(14705,plain,
% 3.74/4.01 (b(s(s(s(s(z)))), elem!1)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1144, 14704, 12207])).
% 3.74/4.01 tff(14706,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14707,plain,
% 3.74/4.01 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14708,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14707])).
% 3.74/4.01 tff(14709,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.01 inference(transitivity,[status(thm)],[14708, 14706])).
% 3.74/4.01 tff(14710,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))),
% 3.74/4.01 inference(quant_inst,[status(thm)],[])).
% 3.74/4.01 tff(14711,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 3.74/4.01 tff(14712,plain,
% 3.74/4.01 ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14711, 338, 14699, 14698, 747, 14705])).
% 3.74/4.01 tff(14713,plain,
% 3.74/4.01 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14712, 14531])).
% 3.74/4.01 tff(14714,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14715,plain,
% 3.74/4.01 (((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14716,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14715])).
% 3.74/4.01 tff(14717,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/4.01 inference(transitivity,[status(thm)],[14716, 14714])).
% 3.74/4.01 tff(14718,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.74/4.01 inference(quant_inst,[status(thm)],[])).
% 3.74/4.01 tff(14719,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[14718, 14717])).
% 3.74/4.01 tff(14720,plain,
% 3.74/4.01 (~b(z, s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14719, 338, 14699, 14531, 747, 14536, 14535])).
% 3.74/4.01 tff(14721,plain,
% 3.74/4.01 (r(z, s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[391, 14720])).
% 3.74/4.01 tff(14722,plain,
% 3.74/4.01 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[379, 14721, 165])).
% 3.74/4.01 tff(14723,plain,
% 3.74/4.01 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[368, 14722, 14713])).
% 3.74/4.01 tff(14724,plain,
% 3.74/4.01 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14723])).
% 3.74/4.01 tff(14725,plain,
% 3.74/4.01 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 3.74/4.01 inference(symmetry,[status(thm)],[14724])).
% 3.74/4.01 tff(14726,plain,
% 3.74/4.01 ((~b(s(s(s(s(z)))), z)) <=> (~b(s(s(elem!1)), z))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14725])).
% 3.74/4.01 tff(14727,plain,
% 3.74/4.01 (~b(s(s(elem!1)), z)),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[12173, 14726])).
% 3.74/4.01 tff(14728,plain,
% 3.74/4.01 (~b(s(s(elem!1)), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[772, 14531, 747, 14699, 14698])).
% 3.74/4.01 tff(14729,plain,
% 3.74/4.01 (r(s(s(elem!1)), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[784, 14728])).
% 3.74/4.01 tff(14730,plain,
% 3.74/4.01 (~r(s(s(elem!1)), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[792, 14729, 405])).
% 3.74/4.01 tff(14731,plain,
% 3.74/4.01 (b(s(s(elem!1)), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[800, 14730])).
% 3.74/4.01 tff(14732,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14731, 14727])).
% 3.74/4.01 tff(14733,plain,((~r(s(z), z)) | b(s(s(s(s(z)))), z) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(14734,plain,
% 3.74/4.01 (~r(s(z), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14733, 12173, 162, 14527, 234, 6387])).
% 3.74/4.01 tff(14735,plain,
% 3.74/4.01 (b(s(z), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[26, 14734])).
% 3.74/4.01 tff(14736,assumption,(~b(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 3.74/4.01 tff(14737,plain,
% 3.74/4.01 (r(s(s(s(s(z)))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[119, 14736])).
% 3.74/4.01 tff(14738,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[2363, 82, 1731, 108, 1122])).
% 3.74/4.01 tff(14739,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(14740,plain,
% 3.74/4.01 (~r(z, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14739, 14737, 12174])).
% 3.74/4.01 tff(14741,plain,
% 3.74/4.01 (~(elem!1 = s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[899, 14740, 234])).
% 3.74/4.01 tff(14742,plain,
% 3.74/4.01 (~r(s(z), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14733, 12173, 165, 747, 234, 6387])).
% 3.74/4.01 tff(14743,plain,
% 3.74/4.01 (b(s(z), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[26, 14742])).
% 3.74/4.01 tff(14744,plain,
% 3.74/4.01 (b(z, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[403, 14740])).
% 3.74/4.01 tff(14745,plain,
% 3.74/4.01 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[10806, 14744, 14737, 14743, 12174])).
% 3.74/4.01 tff(14746,plain,
% 3.74/4.01 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1011, 14745])).
% 3.74/4.01 tff(14747,plain,
% 3.74/4.01 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[10701, 14746, 2605])).
% 3.74/4.01 tff(14748,plain,
% 3.74/4.01 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[10483])).
% 3.74/4.01 tff(14749,plain,
% 3.74/4.01 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/4.01 inference(symmetry,[status(thm)],[14748])).
% 3.74/4.01 tff(14750,plain,
% 3.74/4.01 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[10483])).
% 3.74/4.01 tff(14751,plain,
% 3.74/4.01 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 3.74/4.01 inference(transitivity,[status(thm)],[14750, 3630])).
% 3.74/4.01 tff(14752,plain,
% 3.74/4.01 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14751])).
% 3.74/4.01 tff(14753,plain,
% 3.74/4.01 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[11574, 14752])).
% 3.74/4.01 tff(14754,plain,
% 3.74/4.01 (~r(z, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14739, 108, 1122])).
% 3.74/4.01 tff(14755,plain,
% 3.74/4.01 (b(z, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[403, 14754])).
% 3.74/4.01 tff(14756,plain,
% 3.74/4.01 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[10806, 14755, 108, 1740, 1122])).
% 3.74/4.01 tff(14757,plain,
% 3.74/4.01 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1011, 14756])).
% 3.74/4.01 tff(14758,plain,
% 3.74/4.01 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[10701, 14757, 2605])).
% 3.74/4.01 tff(14759,plain,
% 3.74/4.01 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[193])).
% 3.74/4.01 tff(14760,plain,
% 3.74/4.01 (r(elem!1, s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.01 inference(symmetry,[status(thm)],[14759])).
% 3.74/4.01 tff(14761,plain,
% 3.74/4.01 ((~r(elem!1, s(s(s(s(z)))))) <=> (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14760])).
% 3.74/4.01 tff(14762,plain,
% 3.74/4.01 (~r(s(s(elem!1)), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14044, 370, 1122])).
% 3.74/4.01 tff(14763,plain,
% 3.74/4.01 (b(s(s(elem!1)), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[800, 14762])).
% 3.74/4.01 tff(14764,plain,
% 3.74/4.01 (~b(s(s(elem!1)), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[6963, 14763, 747, 1740, 14755])).
% 3.74/4.01 tff(14765,plain,
% 3.74/4.01 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[10934, 14764, 11570])).
% 3.74/4.01 tff(14766,plain,
% 3.74/4.01 (r(s(s(s(s(elem!1)))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1585, 14765])).
% 3.74/4.01 tff(14767,plain,
% 3.74/4.01 (r(elem!1, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[10928, 14766, 10482])).
% 3.74/4.01 tff(14768,plain,
% 3.74/4.01 (~r(elem!1, s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3480, 82, 108, 14767])).
% 3.74/4.01 tff(14769,plain,
% 3.74/4.01 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[14768, 14761])).
% 3.74/4.01 tff(14770,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[370, 14769])).
% 3.74/4.01 tff(14771,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~(s(s(elem!1)) = elem!1)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(14772,plain,
% 3.74/4.01 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14771, 193, 108, 747, 1740, 1122])).
% 3.74/4.01 tff(14773,plain,
% 3.74/4.01 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[368, 14772, 14758])).
% 3.74/4.01 tff(14774,plain,
% 3.74/4.01 (~(elem!1 = s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[899, 14754, 234])).
% 3.74/4.01 tff(14775,plain,
% 3.74/4.01 (~(s(z) = elem!1)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[752, 14774])).
% 3.74/4.01 tff(14776,plain,
% 3.74/4.01 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1237, 14775])).
% 3.74/4.01 tff(14777,plain,
% 3.74/4.01 (~(elem!1 = s(s(s(z))))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[14776, 14074])).
% 3.74/4.01 tff(14778,plain,
% 3.74/4.01 (b(s(z), elem!1)),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[747, 13672])).
% 3.74/4.01 tff(14779,plain,
% 3.74/4.01 (~r(s(s(s(z))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3708, 911, 108])).
% 3.74/4.01 tff(14780,plain,
% 3.74/4.01 (b(s(s(s(z))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[437, 14779])).
% 3.74/4.01 tff(14781,plain,
% 3.74/4.01 (~r(s(s(s(z))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3603, 911, 1122])).
% 3.74/4.01 tff(14782,plain,
% 3.74/4.01 (b(s(s(s(z))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[135, 14781])).
% 3.74/4.01 tff(14783,plain,
% 3.74/4.01 (~b(s(z), s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1749, 14782, 1740, 14755, 14780])).
% 3.74/4.01 tff(14784,plain,
% 3.74/4.01 (r(s(z), s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[424, 14783])).
% 3.74/4.01 tff(14785,plain,
% 3.74/4.01 (~r(s(z), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11205, 14784, 911])).
% 3.74/4.01 tff(14786,plain,
% 3.74/4.01 (b(s(z), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[106, 14785])).
% 3.74/4.01 tff(14787,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14788,plain,
% 3.74/4.01 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14789,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14788])).
% 3.74/4.01 tff(14790,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.74/4.01 inference(transitivity,[status(thm)],[14789, 14787])).
% 3.74/4.01 tff(14791,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.74/4.01 inference(quant_inst,[status(thm)],[])).
% 3.74/4.01 tff(14792,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[14791, 14790])).
% 3.74/4.01 tff(14793,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14792, 338, 706, 14755, 14782, 14780, 14786, 1130])).
% 3.74/4.01 tff(14794,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(14795,plain,
% 3.74/4.01 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[14794, 14778, 14581, 1740, 108, 1122])).
% 3.74/4.01 tff(14796,plain,
% 3.74/4.01 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[689, 14795])).
% 3.74/4.01 tff(14797,plain,
% 3.74/4.01 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11402, 14796, 14547, 14757, 14773])).
% 3.74/4.01 tff(14798,plain,
% 3.74/4.01 (~b(elem!1, s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3458, 14797, 10482])).
% 3.74/4.01 tff(14799,plain,
% 3.74/4.01 (r(elem!1, s(s(s(z))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1160, 14798, 14777])).
% 3.74/4.01 tff(14800,plain,
% 3.74/4.01 (b(s(s(elem!1)), z) <=> b(elem!1, z)),
% 3.74/4.01 inference(monotonicity,[status(thm)],[193])).
% 3.74/4.01 tff(14801,plain,
% 3.74/4.01 (b(elem!1, z) <=> b(s(s(elem!1)), z)),
% 3.74/4.01 inference(symmetry,[status(thm)],[14800])).
% 3.74/4.01 tff(14802,plain,
% 3.74/4.01 (~r(elem!1, z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3397, 1146, 426])).
% 3.74/4.01 tff(14803,plain,
% 3.74/4.01 (b(elem!1, z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[846, 14802, 719])).
% 3.74/4.01 tff(14804,plain,
% 3.74/4.01 (b(s(s(elem!1)), z)),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[14803, 14801])).
% 3.74/4.01 tff(14805,plain,
% 3.74/4.01 (~b(s(s(elem!1)), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[6963, 14804, 747, 1740, 486])).
% 3.74/4.01 tff(14806,plain,
% 3.74/4.01 (~b(s(s(s(s(elem!1)))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[10934, 14805, 11570])).
% 3.74/4.01 tff(14807,plain,
% 3.74/4.01 (r(s(s(s(s(elem!1)))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1585, 14806])).
% 3.74/4.01 tff(14808,plain,
% 3.74/4.01 (r(elem!1, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[10928, 14807, 10482])).
% 3.74/4.01 tff(14809,plain,
% 3.74/4.01 (~r(s(s(s(z))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[3335, 14808, 1146])).
% 3.74/4.01 tff(14810,plain,
% 3.74/4.01 (b(s(s(s(z))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[437, 14809])).
% 3.74/4.01 tff(14811,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14812,plain,
% 3.74/4.01 (((~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(14813,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z)))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[14812])).
% 3.74/4.01 tff(14814,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 3.74/4.02 inference(transitivity,[status(thm)],[14813, 14811])).
% 3.74/4.02 tff(14815,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 3.74/4.02 inference(quant_inst,[status(thm)],[])).
% 3.74/4.02 tff(14816,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z)))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[14815, 14814])).
% 3.74/4.02 tff(14817,plain,
% 3.74/4.02 ($false),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14816, 338, 14803, 14778, 486, 1740, 3330, 14810])).
% 3.74/4.02 tff(14818,plain,((~r(elem!1, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~(s(s(elem!1)) = elem!1)) | (elem!1 = z) | (~r(s(s(s(z))), z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.02 tff(14819,plain,
% 3.74/4.02 (~r(s(s(s(z))), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14818, 14799, 1740, 747, 193, 719, 14755, 234])).
% 3.74/4.02 tff(14820,plain,
% 3.74/4.02 (b(s(s(s(z))), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[135, 14819])).
% 3.74/4.02 tff(14821,plain,
% 3.74/4.02 (~r(z, s(s(s(z))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3328, 14799, 234])).
% 3.74/4.02 tff(14822,plain,
% 3.74/4.02 (b(z, s(s(s(z))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[149, 14821])).
% 3.74/4.02 tff(14823,plain,
% 3.74/4.02 (~b(s(s(s(z))), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3607, 14822, 1740, 14755, 14820])).
% 3.74/4.02 tff(14824,plain,
% 3.74/4.02 (r(s(s(s(z))), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[437, 14823])).
% 3.74/4.02 tff(14825,plain,
% 3.74/4.02 (~r(elem!1, s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3335, 14824, 14799])).
% 3.74/4.02 tff(14826,plain,
% 3.74/4.02 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[10928, 14825, 10482])).
% 3.74/4.02 tff(14827,plain,
% 3.74/4.02 (b(s(s(s(s(elem!1)))), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1585, 14826])).
% 3.74/4.02 tff(14828,plain,
% 3.74/4.02 (b(s(s(elem!1)), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[10934, 14827, 11570])).
% 3.74/4.02 tff(14829,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(14830,plain,
% 3.74/4.02 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(14831,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[14830])).
% 3.74/4.02 tff(14832,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.74/4.02 inference(transitivity,[status(thm)],[14831, 14829])).
% 3.74/4.02 tff(14833,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.74/4.02 inference(quant_inst,[status(thm)],[])).
% 3.74/4.02 tff(14834,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 3.74/4.02 tff(14835,plain,
% 3.74/4.02 ($false),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14834, 338, 747, 764, 651, 3484, 3253])).
% 3.74/4.02 tff(14836,plain,((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.02 tff(14837,plain,
% 3.74/4.02 (~b(s(z), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14836, 14828, 747, 14773, 14547])).
% 3.74/4.02 tff(14838,plain,
% 3.74/4.02 (r(s(z), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[106, 14837])).
% 3.74/4.02 tff(14839,plain,
% 3.74/4.02 (b(s(s(elem!1)), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[193])).
% 3.74/4.02 tff(14840,plain,
% 3.74/4.02 ((~b(s(s(elem!1)), s(elem!1))) <=> (~b(elem!1, s(elem!1)))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[14839])).
% 3.74/4.02 tff(14841,plain,
% 3.74/4.02 (~b(elem!1, s(elem!1))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[2605, 14840])).
% 3.74/4.02 tff(14842,plain,
% 3.74/4.02 (elem!1 = s(s(elem!1))),
% 3.74/4.02 inference(symmetry,[status(thm)],[193])).
% 3.74/4.02 tff(14843,plain,
% 3.74/4.02 (elem!1 = s(s(s(s(elem!1))))),
% 3.74/4.02 inference(transitivity,[status(thm)],[14842, 11570])).
% 3.74/4.02 tff(14844,plain,
% 3.74/4.02 (b(s(s(s(elem!1))), elem!1) <=> b(s(elem!1), elem!1)),
% 3.74/4.02 inference(monotonicity,[status(thm)],[10483])).
% 3.74/4.02 tff(14845,plain,
% 3.74/4.02 (b(s(s(s(elem!1))), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[8982, 10482, 6387])).
% 3.74/4.02 tff(14846,plain,
% 3.74/4.02 (b(s(elem!1), elem!1)),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 3.74/4.02 tff(14847,plain,
% 3.74/4.02 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 3.74/4.02 inference(symmetry,[status(thm)],[11570])).
% 3.74/4.02 tff(14848,plain,
% 3.74/4.02 (s(s(s(s(elem!1)))) = elem!1),
% 3.74/4.02 inference(transitivity,[status(thm)],[14847, 193])).
% 3.74/4.02 tff(14849,plain,
% 3.74/4.02 (b(s(s(s(s(elem!1)))), elem!1) <=> b(elem!1, elem!1)),
% 3.74/4.02 inference(monotonicity,[status(thm)],[14848])).
% 3.74/4.02 tff(14850,plain,
% 3.74/4.02 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.74/4.02 inference(symmetry,[status(thm)],[14849])).
% 3.74/4.02 tff(14851,plain,
% 3.74/4.02 ((~b(elem!1, elem!1)) <=> (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[14850])).
% 3.74/4.02 tff(14852,plain,
% 3.74/4.02 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[7551, 14851])).
% 3.74/4.02 tff(14853,plain,
% 3.74/4.02 (~(s(s(s(elem!1))) = elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[6576, 14852, 14846])).
% 3.74/4.02 tff(14854,plain,
% 3.74/4.02 (~(elem!1 = s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[10900, 14853, 14843])).
% 3.74/4.02 tff(14855,plain,
% 3.74/4.02 (r(elem!1, s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[252, 14854, 14841])).
% 3.74/4.02 tff(14856,plain,
% 3.74/4.02 (~r(z, s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[243, 14855, 234])).
% 3.74/4.02 tff(14857,plain,
% 3.74/4.02 (b(z, s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1615, 14856])).
% 3.74/4.02 tff(14858,plain,
% 3.74/4.02 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1287, 14853])).
% 3.74/4.02 tff(14859,plain,
% 3.74/4.02 (~(s(s(elem!1)) = s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1343, 14858])).
% 3.74/4.02 tff(14860,plain,
% 3.74/4.02 (r(s(s(elem!1)), s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[277, 14859, 2605])).
% 3.74/4.02 tff(14861,plain,
% 3.74/4.02 (~b(s(s(elem!1)), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[6963, 14828, 747, 1740, 14755])).
% 3.74/4.02 tff(14862,plain,
% 3.74/4.02 (r(s(s(elem!1)), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[800, 14861])).
% 3.74/4.02 tff(14863,plain,
% 3.74/4.02 (~r(s(elem!1), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[5958, 14862, 14860])).
% 3.74/4.02 tff(14864,plain,
% 3.74/4.02 (b(s(elem!1), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1812, 14863])).
% 3.74/4.02 tff(14865,plain,
% 3.74/4.02 (~b(s(elem!1), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[4621, 14864, 1740, 14755, 14857])).
% 3.74/4.02 tff(14866,plain,
% 3.74/4.02 (r(s(elem!1), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[2070, 14865, 9076])).
% 3.74/4.02 tff(14867,plain,
% 3.74/4.02 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[4043, 14866, 14838])).
% 3.74/4.02 tff(14868,plain,
% 3.74/4.02 (b(s(elem!1), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3668, 21, 14867, 14753])).
% 3.74/4.02 tff(14869,plain,
% 3.74/4.02 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[14868, 14749])).
% 3.74/4.02 tff(14870,plain,
% 3.74/4.02 (b(s(s(s(elem!1))), s(z)) <=> b(s(elem!1), s(z))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[10483])).
% 3.74/4.02 tff(14871,plain,
% 3.74/4.02 (b(s(elem!1), s(z)) <=> b(s(s(s(elem!1))), s(z))),
% 3.74/4.02 inference(symmetry,[status(thm)],[14870])).
% 3.74/4.02 tff(14872,plain,
% 3.74/4.02 ((~b(s(elem!1), s(z))) <=> (~b(s(s(s(elem!1))), s(z)))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[14871])).
% 3.74/4.02 tff(14873,plain,
% 3.74/4.02 (~b(s(s(s(elem!1))), s(z))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[14865, 14872])).
% 3.74/4.02 tff(14874,plain,
% 3.74/4.02 (r(s(s(s(elem!1))), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1990, 14873])).
% 3.74/4.02 tff(14875,plain,
% 3.74/4.02 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3121, 9076])).
% 3.74/4.02 tff(14876,plain,
% 3.74/4.02 (r(s(s(s(s(z)))), s(s(s(elem!1)))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[10483])).
% 3.74/4.02 tff(14877,plain,
% 3.74/4.02 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/4.02 inference(symmetry,[status(thm)],[14876])).
% 3.74/4.02 tff(14878,plain,
% 3.74/4.02 ((~r(s(s(s(s(z)))), s(elem!1))) <=> (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[14877])).
% 3.74/4.02 tff(14879,plain,
% 3.74/4.02 (~b(s(z), s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[4302, 14864, 1740, 14857, 14755])).
% 3.74/4.02 tff(14880,plain,
% 3.74/4.02 (r(s(z), s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3066, 14879, 9077])).
% 3.74/4.02 tff(14881,plain,
% 3.74/4.02 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[8549, 14880, 14838])).
% 3.74/4.02 tff(14882,plain,
% 3.74/4.02 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[14881, 14878])).
% 3.74/4.02 tff(14883,plain,
% 3.74/4.02 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3768, 14882, 11574])).
% 3.74/4.02 tff(14884,plain,
% 3.74/4.02 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3801, 14883, 14757, 14875, 14824, 14874])).
% 3.74/4.02 tff(14885,plain,
% 3.74/4.02 ($false),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14884, 14869])).
% 3.74/4.02 tff(14886,plain,((~(s(s(elem!1)) = elem!1)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (elem!1 = z) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(elem!1)) | r(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.02 tff(14887,plain,
% 3.74/4.02 (~(s(s(elem!1)) = elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14886, 14737, 747, 10544, 234, 14743, 12174, 2605, 12184, 6387])).
% 3.74/4.02 tff(14888,plain,
% 3.74/4.02 (~(elem!1 = s(s(elem!1)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[2015, 14887])).
% 3.74/4.02 tff(14889,plain,
% 3.74/4.02 (b(elem!1, s(s(elem!1)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[321, 14888, 288])).
% 3.74/4.02 tff(14890,plain,
% 3.74/4.02 (b(s(s(elem!1)), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[327, 14887, 263])).
% 3.74/4.02 tff(14891,plain,
% 3.74/4.02 (~(s(z) = elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[752, 14741])).
% 3.74/4.02 tff(14892,plain,
% 3.74/4.02 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 3.74/4.02 inference(monotonicity,[status(thm)],[10434])).
% 3.74/4.02 tff(14893,plain,
% 3.74/4.02 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(z))),
% 3.74/4.02 inference(symmetry,[status(thm)],[14892])).
% 3.74/4.02 tff(14894,plain,
% 3.74/4.02 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1019, 9848, 72])).
% 3.74/4.02 tff(14895,plain,
% 3.74/4.02 (b(s(s(s(s(z)))), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1144, 14894, 8418])).
% 3.74/4.02 tff(14896,plain,
% 3.74/4.02 (b(s(s(s(s(z)))), s(z))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[14895, 14893])).
% 3.74/4.02 tff(14897,plain,
% 3.74/4.02 ($false),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14736, 14896])).
% 3.74/4.02 tff(14898,plain,((~r(z, s(z))) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), elem!1) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.02 tff(14899,plain,
% 3.74/4.02 (~r(z, s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14898, 10423, 12207, 72, 234, 14736, 747, 10422])).
% 3.74/4.02 tff(14900,plain,
% 3.74/4.02 (b(z, s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[403, 14899])).
% 3.74/4.02 tff(14901,plain,
% 3.74/4.02 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[10806, 14900, 14737, 14743, 12174])).
% 3.74/4.02 tff(14902,plain,
% 3.74/4.02 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1011, 14901])).
% 3.74/4.02 tff(14903,plain,
% 3.74/4.02 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[10701, 14902, 2605])).
% 3.74/4.02 tff(14904,plain,
% 3.74/4.02 (~(elem!1 = s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[899, 14899, 234])).
% 3.74/4.02 tff(14905,plain,
% 3.74/4.02 (~(s(z) = elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[752, 14904])).
% 3.74/4.02 tff(14906,plain,
% 3.74/4.02 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1237, 14905])).
% 3.74/4.02 tff(14907,plain,
% 3.74/4.02 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(s(s(z))), elem!1)),
% 3.74/4.02 inference(monotonicity,[status(thm)],[1013])).
% 3.74/4.02 tff(14908,plain,
% 3.74/4.02 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/4.02 inference(symmetry,[status(thm)],[14907])).
% 3.74/4.02 tff(14909,plain,
% 3.74/4.02 ((~r(s(s(s(z))), elem!1)) <=> (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[14908])).
% 3.74/4.02 tff(14910,plain,
% 3.74/4.02 (~r(s(s(s(z))), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3164, 12228, 234])).
% 3.74/4.02 tff(14911,plain,
% 3.74/4.02 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[14910, 14909])).
% 3.74/4.02 tff(14912,plain,
% 3.74/4.02 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[689, 14911])).
% 3.74/4.02 tff(14913,plain,
% 3.74/4.02 (~b(s(s(s(z))), s(s(elem!1)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11442, 14912, 762, 1013, 763, 987])).
% 3.74/4.02 tff(14914,plain,
% 3.74/4.02 (r(s(s(s(z))), s(s(elem!1)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1221, 21, 871, 14913])).
% 3.74/4.02 tff(14915,plain,
% 3.74/4.02 (~r(s(s(s(z))), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11433, 14914, 165])).
% 3.74/4.02 tff(14916,plain,
% 3.74/4.02 (b(s(s(s(z))), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[135, 14915])).
% 3.74/4.02 tff(14917,plain,
% 3.74/4.02 (~r(z, s(s(s(z))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[171, 82, 165, 14914])).
% 3.74/4.02 tff(14918,plain,
% 3.74/4.02 (b(z, s(s(s(z))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[149, 14917])).
% 3.74/4.02 tff(14919,plain,
% 3.74/4.02 (~b(s(s(s(z))), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3607, 14918, 14743, 486, 14916])).
% 3.74/4.02 tff(14920,plain,
% 3.74/4.02 (r(s(s(s(z))), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[437, 14919])).
% 3.74/4.02 tff(14921,plain,
% 3.74/4.02 ((s(s(s(s(z)))) = s(elem!1)) <=> (elem!1 = s(elem!1))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[1013])).
% 3.74/4.02 tff(14922,plain,
% 3.74/4.02 ((elem!1 = s(elem!1)) <=> (s(s(s(s(z)))) = s(elem!1))),
% 3.74/4.02 inference(symmetry,[status(thm)],[14921])).
% 3.74/4.02 tff(14923,plain,
% 3.74/4.02 ((~(elem!1 = s(elem!1))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[14922])).
% 3.74/4.02 tff(14924,plain,
% 3.74/4.02 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[7156, 14923])).
% 3.74/4.02 tff(14925,plain,
% 3.74/4.02 (~r(s(s(elem!1)), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14054, 14920, 14914])).
% 3.74/4.02 tff(14926,plain,
% 3.74/4.02 (b(s(s(elem!1)), s(z))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[784, 14925])).
% 3.74/4.02 tff(14927,plain,
% 3.74/4.02 (~b(s(s(elem!1)), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[6963, 14926, 747, 14743, 486])).
% 3.74/4.02 tff(14928,plain,
% 3.74/4.02 (r(s(s(elem!1)), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[800, 14927])).
% 3.74/4.02 tff(14929,plain,
% 3.74/4.02 (~r(s(elem!1), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[5958, 14928, 264])).
% 3.74/4.02 tff(14930,plain,
% 3.74/4.02 (b(s(elem!1), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1812, 14929])).
% 3.74/4.02 tff(14931,plain,
% 3.74/4.02 (s(elem!1) = s(s(s(z)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[8674, 14930, 14743, 72, 6584, 10614, 14924, 14920, 486])).
% 3.74/4.02 tff(14932,plain,
% 3.74/4.02 (~(s(s(s(elem!1))) = elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3655, 14931])).
% 3.74/4.02 tff(14933,plain,
% 3.74/4.02 (~r(z, s(s(s(elem!1))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[6377, 14932, 165, 234, 763, 12225, 10544, 762])).
% 3.74/4.02 tff(14934,plain,
% 3.74/4.02 (b(z, s(s(s(elem!1))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1373, 14933])).
% 3.74/4.02 tff(14935,plain,
% 3.74/4.02 (~r(s(s(s(elem!1))), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[10565, 14926, 6387, 747, 12228])).
% 3.74/4.02 tff(14936,plain,
% 3.74/4.02 (b(s(s(s(elem!1))), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[2162, 14932, 14935])).
% 3.74/4.02 tff(14937,plain,
% 3.74/4.02 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[6684, 14936, 234, 6387, 763, 14934, 306, 762, 165])).
% 3.74/4.02 tff(14938,plain,
% 3.74/4.02 (r(s(elem!1), s(s(s(elem!1))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1515, 14937, 215])).
% 3.74/4.02 tff(14939,plain,
% 3.74/4.02 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[10569, 14936, 762, 6387, 763])).
% 3.74/4.02 tff(14940,plain,
% 3.74/4.02 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[2619, 14939, 10550])).
% 3.74/4.02 tff(14941,plain,
% 3.74/4.02 ($false),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[2629, 14940, 14938, 264])).
% 3.74/4.02 tff(14942,plain,((~(s(s(s(s(z)))) = elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~r(z, elem!1)) | (s(elem!1) = elem!1) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 3.74/4.02 tff(14943,plain,
% 3.74/4.02 (~(s(s(s(s(z)))) = elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14942, 10433, 210, 10423, 6387, 10422, 234, 294, 165, 72, 14900, 747, 14906, 14902, 12173])).
% 3.74/4.02 tff(14944,plain,
% 3.74/4.02 (b(s(s(s(s(z)))), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1144, 14943, 12207])).
% 3.74/4.02 tff(14945,plain,
% 3.74/4.02 (r(s(s(elem!1)), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[800, 12196])).
% 3.74/4.02 tff(14946,plain,
% 3.74/4.02 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14044, 14945, 12174])).
% 3.74/4.02 tff(14947,plain,
% 3.74/4.02 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[368, 14946, 363])).
% 3.74/4.02 tff(14948,plain,
% 3.74/4.02 ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14711, 338, 763, 762, 747, 1130])).
% 3.74/4.02 tff(14949,plain,
% 3.74/4.02 (~b(s(z), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[14948, 14947])).
% 3.74/4.02 tff(14950,plain,
% 3.74/4.02 (r(s(z), elem!1)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[701, 14949, 691])).
% 3.74/4.02 tff(14951,plain,
% 3.74/4.02 (s(elem!1) = s(s(s(z)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3985, 12186])).
% 3.86/4.02 tff(14952,plain,
% 3.86/4.02 (~(s(s(s(elem!1))) = elem!1)),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[3655, 14951])).
% 3.86/4.02 tff(14953,plain,
% 3.86/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.02 inference(rewrite,[status(thm)],[])).
% 3.86/4.02 tff(14954,plain,
% 3.86/4.02 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.02 inference(rewrite,[status(thm)],[])).
% 3.86/4.02 tff(14955,plain,
% 3.86/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.86/4.02 inference(monotonicity,[status(thm)],[14954])).
% 3.86/4.02 tff(14956,plain,
% 3.86/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.02 inference(transitivity,[status(thm)],[14955, 14953])).
% 3.86/4.02 tff(14957,plain,
% 3.86/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.86/4.02 inference(quant_inst,[status(thm)],[])).
% 3.86/4.02 tff(14958,plain,
% 3.86/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.86/4.02 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 3.86/4.02 tff(14959,plain,
% 3.86/4.02 ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[14958, 338, 763, 762, 6387, 1130])).
% 3.86/4.02 tff(14960,plain,
% 3.86/4.02 (~b(s(s(s(elem!1))), elem!1)),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[14959, 14947])).
% 3.86/4.02 tff(14961,plain,
% 3.86/4.02 (r(s(s(s(elem!1))), elem!1)),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[2162, 14960, 14952])).
% 3.86/4.02 tff(14962,plain,
% 3.86/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.02 inference(rewrite,[status(thm)],[])).
% 3.86/4.02 tff(14963,plain,
% 3.86/4.02 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.02 inference(rewrite,[status(thm)],[])).
% 3.86/4.02 tff(14964,plain,
% 3.86/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.86/4.02 inference(monotonicity,[status(thm)],[14963])).
% 3.86/4.02 tff(14965,plain,
% 3.86/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.02 inference(transitivity,[status(thm)],[14964, 14962])).
% 3.86/4.02 tff(14966,plain,
% 3.86/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))))),
% 3.86/4.02 inference(quant_inst,[status(thm)],[])).
% 3.86/4.02 tff(14967,plain,
% 3.86/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.86/4.02 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 3.86/4.02 tff(14968,plain,
% 3.86/4.02 ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[14967, 338, 763, 6387, 747, 1130])).
% 3.86/4.02 tff(14969,plain,
% 3.86/4.02 (~b(s(z), s(s(s(elem!1))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[14968, 14947])).
% 3.86/4.02 tff(14970,plain,
% 3.86/4.02 (r(s(z), s(s(s(elem!1))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[1870, 14969])).
% 3.86/4.02 tff(14971,plain,
% 3.86/4.02 ($false),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[1862, 14970, 14961, 14950])).
% 3.86/4.02 tff(14972,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (s(z) = elem!1) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(z))))) | b(s(s(s(s(z)))), z) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(14973,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[14972, 14905, 10422, 6387, 747, 14944, 10423, 14903, 12173, 165])).
% 3.86/4.03 tff(14974,plain,
% 3.86/4.03 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11385, 14973, 10422, 14944, 10423])).
% 3.86/4.03 tff(14975,plain,
% 3.86/4.03 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[368, 14974, 14903])).
% 3.86/4.03 tff(14976,plain,
% 3.86/4.03 (~r(s(s(elem!1)), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[14044, 14975, 12174])).
% 3.86/4.03 tff(14977,plain,
% 3.86/4.03 (b(s(s(elem!1)), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[800, 14976])).
% 3.86/4.03 tff(14978,plain,
% 3.86/4.03 (~r(s(s(elem!1)), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[6732, 14975, 72])).
% 3.86/4.03 tff(14979,plain,
% 3.86/4.03 (b(s(s(elem!1)), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[784, 14978])).
% 3.86/4.03 tff(14980,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[6963, 14979, 14977, 747, 14743, 14900])).
% 3.86/4.03 tff(14981,plain,((elem!1 = s(s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(s(s(s(z)))), z) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1)) | b(s(s(s(s(z)))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(14982,plain,
% 3.86/4.03 (~r(s(z), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[14981, 14888, 747, 6387, 12173, 165, 234, 2605, 14736])).
% 3.86/4.03 tff(14983,plain,
% 3.86/4.03 (b(s(z), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[106, 14982])).
% 3.86/4.03 tff(14984,plain,
% 3.86/4.03 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1237, 14891])).
% 3.86/4.03 tff(14985,plain,
% 3.86/4.03 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), elem!1)),
% 3.86/4.03 inference(monotonicity,[status(thm)],[1013])).
% 3.86/4.03 tff(14986,plain,
% 3.86/4.03 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.03 inference(symmetry,[status(thm)],[14985])).
% 3.86/4.03 tff(14987,plain,
% 3.86/4.03 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[763, 14986])).
% 3.86/4.03 tff(14988,plain,
% 3.86/4.03 (~b(s(s(elem!1)), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[770, 338, 763, 762, 13877, 747])).
% 3.86/4.03 tff(14989,plain,
% 3.86/4.03 (r(s(s(elem!1)), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[784, 14988])).
% 3.86/4.03 tff(14990,plain,
% 3.86/4.03 (~r(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[14054, 427, 786])).
% 3.86/4.03 tff(14991,plain,
% 3.86/4.03 (~b(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11442, 3710, 762, 1013, 763, 987])).
% 3.86/4.03 tff(14992,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1221, 21, 871, 14991, 14990])).
% 3.86/4.03 tff(14993,plain,((~r(s(s(s(z))), s(z))) | (s(s(s(z))) = s(s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~(s(s(s(s(z)))) = elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(14994,plain,
% 3.86/4.03 (~r(s(s(s(z))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[14993, 1013, 762, 871, 763, 987, 14989, 108])).
% 3.86/4.03 tff(14995,plain,
% 3.86/4.03 (b(s(s(s(z))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[437, 14994])).
% 3.86/4.03 tff(14996,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(14997,plain,
% 3.86/4.03 (((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(14998,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[14997])).
% 3.86/4.03 tff(14999,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.03 inference(transitivity,[status(thm)],[14998, 14996])).
% 3.86/4.03 tff(15000,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(15001,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[15000, 14999])).
% 3.86/4.03 tff(15002,plain,
% 3.86/4.03 (~b(s(s(s(z))), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[15001, 338, 763, 13877, 747, 14755, 14995])).
% 3.86/4.03 tff(15003,plain,
% 3.86/4.03 (r(s(s(s(z))), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[135, 15002])).
% 3.86/4.03 tff(15004,plain,
% 3.86/4.03 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[3603, 15003, 1122])).
% 3.86/4.03 tff(15005,plain,
% 3.86/4.03 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[689, 15004])).
% 3.86/4.03 tff(15006,plain,
% 3.86/4.03 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11402, 15005, 10607, 987, 14987])).
% 3.86/4.03 tff(15007,plain,
% 3.86/4.03 (r(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1211, 21, 15006, 1208])).
% 3.86/4.03 tff(15008,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(15009,plain,
% 3.86/4.03 (((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(15010,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[15009])).
% 3.86/4.03 tff(15011,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.03 inference(transitivity,[status(thm)],[15010, 15008])).
% 3.86/4.03 tff(15012,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(15013,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 3.86/4.03 tff(15014,plain,
% 3.86/4.03 (~b(z, s(s(s(z))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[15013, 338, 763, 13877, 747, 14755, 14995])).
% 3.86/4.03 tff(15015,plain,
% 3.86/4.03 (r(z, s(s(s(z))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[149, 15014])).
% 3.86/4.03 tff(15016,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11410, 82, 165, 15015, 15007])).
% 3.86/4.03 tff(15017,plain,((~(s(s(s(s(z)))) = elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(15018,plain,
% 3.86/4.03 (~(s(s(s(s(z)))) = elem!1)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[15017, 14746, 165, 12174, 14890, 747, 14889, 14984, 14737, 14983])).
% 3.86/4.03 tff(15019,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1144, 15018, 12207])).
% 3.86/4.03 tff(15020,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[14972, 15019, 14891, 6387, 747, 14890, 14889, 14747, 12173, 165])).
% 3.86/4.03 tff(15021,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(15022,plain,
% 3.86/4.03 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(15023,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[15022])).
% 3.86/4.03 tff(15024,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(transitivity,[status(thm)],[15023, 15021])).
% 3.86/4.03 tff(15025,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(15026,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 3.86/4.03 tff(15027,plain,
% 3.86/4.03 (~b(elem!1, s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[15026, 338, 14890, 14889, 747, 15019, 15020])).
% 3.86/4.03 tff(15028,plain,
% 3.86/4.03 (r(elem!1, s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[819, 15027, 14741])).
% 3.86/4.03 tff(15029,plain,
% 3.86/4.03 (~(elem!1 = s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1062, 15018])).
% 3.86/4.03 tff(15030,plain,
% 3.86/4.03 (~b(elem!1, s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[14018, 338, 14890, 14889, 15019, 15020])).
% 3.86/4.03 tff(15031,plain,
% 3.86/4.03 (r(elem!1, s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1094, 15030, 15029])).
% 3.86/4.03 tff(15032,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[3480, 82, 15031, 14737, 15028])).
% 3.86/4.03 tff(15033,plain,(b(s(s(s(s(z)))), s(z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(s(s(s(z)))), z) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(15034,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[15033, 14527, 6387, 12173, 162, 234, 2605])).
% 3.86/4.03 tff(15035,plain,
% 3.86/4.03 (~(s(s(s(z))) = s(elem!1))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[10473, 1731, 234, 747, 263, 288])).
% 3.86/4.03 tff(15036,plain,
% 3.86/4.03 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[4794, 15035])).
% 3.86/4.03 tff(15037,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[10478, 15036, 11556])).
% 3.86/4.03 tff(15038,plain,
% 3.86/4.03 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11584, 193, 2911, 9848, 9850, 3484])).
% 3.86/4.03 tff(15039,plain,
% 3.86/4.03 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[106, 15038])).
% 3.86/4.03 tff(15040,plain,
% 3.86/4.03 (~r(z, s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11465, 15039, 1731])).
% 3.86/4.03 tff(15041,plain,
% 3.86/4.03 (b(z, s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[391, 15040])).
% 3.86/4.03 tff(15042,plain,
% 3.86/4.03 (~(s(s(s(s(z)))) = elem!1)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1019, 15039, 9848])).
% 3.86/4.03 tff(15043,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1144, 15042, 14070])).
% 3.86/4.03 tff(15044,plain,
% 3.86/4.03 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[10928, 10482, 9850])).
% 3.86/4.03 tff(15045,plain,
% 3.86/4.03 (b(s(s(s(s(elem!1)))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1585, 15044])).
% 3.86/4.03 tff(15046,plain,
% 3.86/4.03 (b(elem!1, s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[3317, 11570, 15045, 193])).
% 3.86/4.03 tff(15047,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(15048,plain,
% 3.86/4.03 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(15049,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[15048])).
% 3.86/4.03 tff(15050,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(transitivity,[status(thm)],[15049, 15047])).
% 3.86/4.03 tff(15051,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(15052,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[15051, 15050])).
% 3.86/4.03 tff(15053,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[15052, 338, 10727, 1740, 4124, 831, 2911, 1130])).
% 3.86/4.03 tff(15054,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(15055,plain,
% 3.86/4.03 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[15054, 15046, 1740, 2911, 15043, 15039, 1122])).
% 3.86/4.03 tff(15056,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1011, 15055])).
% 3.86/4.03 tff(15057,plain,
% 3.86/4.03 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[14750])).
% 3.86/4.03 tff(15058,plain,
% 3.86/4.03 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[11574, 15057])).
% 3.86/4.03 tff(15059,plain,
% 3.86/4.03 (b(s(z), elem!1)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[701, 11575, 9848])).
% 3.86/4.03 tff(15060,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(15061,plain,
% 3.86/4.03 (((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(15062,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[15061])).
% 3.86/4.03 tff(15063,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(transitivity,[status(thm)],[15062, 15060])).
% 3.86/4.03 tff(15064,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(15065,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[15064, 15063])).
% 3.86/4.03 tff(15066,plain,
% 3.86/4.03 (~b(s(z), s(elem!1))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[15065, 338, 14846, 15059, 15046, 2911, 15043])).
% 3.86/4.03 tff(15067,plain,
% 3.86/4.03 (r(s(z), s(elem!1))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[3066, 15066, 9077])).
% 3.86/4.03 tff(15068,plain,
% 3.86/4.03 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[8549, 15067, 15039])).
% 3.86/4.03 tff(15069,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(elem!1))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[4914, 15068, 15058])).
% 3.86/4.03 tff(15070,plain,
% 3.86/4.03 (~(elem!1 = s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1062, 15042])).
% 3.86/4.04 tff(15071,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15072,plain,
% 3.86/4.04 (((~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15073,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15072])).
% 3.86/4.04 tff(15074,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[15073, 15071])).
% 3.86/4.04 tff(15075,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(15076,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[15075, 15074])).
% 3.86/4.04 tff(15077,plain,
% 3.86/4.04 (~b(elem!1, s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15076, 338, 15059, 15046, 2911, 15043])).
% 3.86/4.04 tff(15078,plain,
% 3.86/4.04 (r(elem!1, s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1094, 15077, 15070])).
% 3.86/4.04 tff(15079,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15080,plain,
% 3.86/4.04 (((~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15081,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15080])).
% 3.86/4.04 tff(15082,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.04 inference(transitivity,[status(thm)],[15081, 15079])).
% 3.86/4.04 tff(15083,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(15084,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[15083, 15082])).
% 3.86/4.04 tff(15085,plain,
% 3.86/4.04 (~b(elem!1, s(s(s(z))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15084, 338, 314, 458, 831, 1130, 3663])).
% 3.86/4.04 tff(15086,plain,
% 3.86/4.04 (r(elem!1, s(s(s(z))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1160, 15085, 1050])).
% 3.86/4.04 tff(15087,plain,
% 3.86/4.04 (~r(z, s(s(s(z))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[3328, 15086, 234])).
% 3.86/4.04 tff(15088,plain,
% 3.86/4.04 (b(z, s(s(s(z))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[149, 15087])).
% 3.86/4.04 tff(15089,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15090,plain,
% 3.86/4.04 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15091,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15090])).
% 3.86/4.04 tff(15092,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[15091, 15089])).
% 3.86/4.04 tff(15093,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(15094,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[15093, 15092])).
% 3.86/4.04 tff(15095,plain,
% 3.86/4.04 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15094, 338, 15088, 458, 987, 2911, 555])).
% 3.86/4.04 tff(15096,plain,
% 3.86/4.04 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[689, 15095])).
% 3.86/4.04 tff(15097,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15098,plain,
% 3.86/4.04 (((~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15099,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15098])).
% 3.86/4.04 tff(15100,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[15099, 15097])).
% 3.86/4.04 tff(15101,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(15102,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 3.86/4.04 tff(15103,plain,
% 3.86/4.04 (~b(s(s(s(z))), elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15102, 338, 15088, 458, 831, 987, 555])).
% 3.86/4.04 tff(15104,plain,
% 3.86/4.04 (r(s(s(s(z))), elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1110, 15103, 1103])).
% 3.86/4.04 tff(15105,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1101, 82, 3239, 15104, 15096])).
% 3.86/4.04 tff(15106,plain,((~b(s(s(s(z))), s(z))) | (~r(elem!1, s(s(s(s(z)))))) | (s(s(s(z))) = elem!1) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~r(z, elem!1)) | (elem!1 = s(s(s(z)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(15107,plain,
% 3.86/4.04 (~b(s(s(s(z))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15106, 15078, 10485, 15056, 2911, 15041, 15046, 234, 14580, 14846, 15043, 15069])).
% 3.86/4.04 tff(15108,plain,
% 3.86/4.04 (r(s(s(s(z))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[437, 15107])).
% 3.86/4.04 tff(15109,plain,
% 3.86/4.04 (~r(z, s(s(s(z))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[2890, 15108, 1731])).
% 3.86/4.04 tff(15110,plain,
% 3.86/4.04 (b(z, s(s(s(z))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[149, 15109])).
% 3.86/4.04 tff(15111,plain,
% 3.86/4.04 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[15078, 14760])).
% 3.86/4.04 tff(15112,plain,
% 3.86/4.04 (~r(s(s(elem!1)), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[14044, 15111, 1122])).
% 3.86/4.04 tff(15113,plain,
% 3.86/4.04 (r(s(s(elem!1)), z) <=> r(elem!1, z)),
% 3.86/4.04 inference(monotonicity,[status(thm)],[193])).
% 3.86/4.04 tff(15114,plain,
% 3.86/4.04 (r(elem!1, z) <=> r(s(s(elem!1)), z)),
% 3.86/4.04 inference(symmetry,[status(thm)],[15113])).
% 3.86/4.04 tff(15115,plain,
% 3.86/4.04 (r(s(s(elem!1)), z)),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[802, 15114])).
% 3.86/4.04 tff(15116,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[794, 15115])).
% 3.86/4.04 tff(15117,plain,((~r(elem!1, z)) | r(s(s(elem!1)), z) | (~(s(s(elem!1)) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(15118,plain,
% 3.86/4.04 (~r(elem!1, z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15117, 15112, 193])).
% 3.86/4.04 tff(15119,plain,
% 3.86/4.04 (b(elem!1, z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[846, 15118, 719])).
% 3.86/4.04 tff(15120,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15121,plain,
% 3.86/4.04 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(15122,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15121])).
% 3.86/4.04 tff(15123,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[15122, 15120])).
% 3.86/4.04 tff(15124,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(15125,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 3.86/4.04 tff(15126,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15125, 338, 15119, 1740, 15110, 15046, 15056, 15041])).
% 3.86/4.04 tff(15127,plain,((~(s(s(elem!1)) = elem!1)) | (~b(s(z), z)) | (elem!1 = z) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(15128,plain,
% 3.86/4.04 (~(s(s(elem!1)) = elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15127, 1731, 10544, 1740, 2911, 234, 1122, 6387, 15037])).
% 3.86/4.04 tff(15129,plain,
% 3.86/4.04 (~(elem!1 = s(s(elem!1)))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[2015, 15128])).
% 3.86/4.04 tff(15130,plain,
% 3.86/4.04 (b(s(s(elem!1)), elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[327, 15128, 263])).
% 3.86/4.04 tff(15131,plain,
% 3.86/4.04 (b(elem!1, s(s(elem!1)))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[321, 15129, 288])).
% 3.86/4.04 tff(15132,plain,
% 3.86/4.04 (s(z) = elem!1),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[8275, 15131, 165, 234, 1731, 15130])).
% 3.86/4.04 tff(15133,plain,
% 3.86/4.04 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15132])).
% 3.86/4.04 tff(15134,plain,
% 3.86/4.04 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 3.86/4.04 inference(transitivity,[status(thm)],[15133, 1254])).
% 3.86/4.04 tff(15135,plain,
% 3.86/4.04 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[15134, 3376])).
% 3.86/4.04 tff(15136,plain,
% 3.86/4.04 ((~(s(z) = s(s(s(elem!1))))) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15135])).
% 3.86/4.04 tff(15137,plain,
% 3.86/4.04 (~(elem!1 = s(s(s(elem!1))))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[1263, 15136])).
% 3.86/4.04 tff(15138,plain,
% 3.86/4.04 (~r(z, s(s(s(elem!1))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[7576, 15137, 165, 234, 15129])).
% 3.86/4.04 tff(15139,plain,
% 3.86/4.04 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15134])).
% 3.86/4.04 tff(15140,plain,
% 3.86/4.04 (~(s(s(s(elem!1))) = elem!1)),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[1263, 15139])).
% 3.86/4.04 tff(15141,plain,
% 3.86/4.04 (s(s(z)) = s(elem!1)),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15132])).
% 3.86/4.04 tff(15142,plain,
% 3.86/4.04 (s(s(s(z))) = s(s(elem!1))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15141])).
% 3.86/4.04 tff(15143,plain,
% 3.86/4.04 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15142])).
% 3.86/4.04 tff(15144,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15143])).
% 3.86/4.04 tff(15145,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15132])).
% 3.86/4.04 tff(15146,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[2911, 15145])).
% 3.86/4.04 tff(15147,plain,
% 3.86/4.04 (b(s(s(s(elem!1))), elem!1)),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[15146, 15144])).
% 3.86/4.04 tff(15148,plain,
% 3.86/4.04 (~b(elem!1, s(s(s(elem!1))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[2175, 338, 15130, 15147, 15131, 6387])).
% 3.86/4.04 tff(15149,plain,
% 3.86/4.04 (r(elem!1, s(s(s(elem!1))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1946, 15137, 15148])).
% 3.86/4.04 tff(15150,plain,
% 3.86/4.04 (b(s(z), z) <=> b(elem!1, z)),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15132])).
% 3.86/4.04 tff(15151,plain,
% 3.86/4.04 (b(elem!1, z)),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[1740, 15150])).
% 3.86/4.04 tff(15152,plain,
% 3.86/4.04 (r(s(s(s(s(z)))), z) <=> r(s(s(s(elem!1))), z)),
% 3.86/4.04 inference(monotonicity,[status(thm)],[15143])).
% 3.86/4.04 tff(15153,plain,
% 3.86/4.04 (r(s(s(s(elem!1))), z)),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[1122, 15152])).
% 3.86/4.04 tff(15154,plain,
% 3.86/4.04 (~b(z, s(s(s(elem!1))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[14222, 15153, 234, 15128, 15151, 15149, 15140])).
% 3.86/4.04 tff(15155,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1373, 15154, 15138])).
% 3.86/4.04 tff(15156,plain,((~r(z, s(z))) | (~r(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(15157,plain,
% 3.86/4.04 (~r(z, s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15156, 12174, 162, 6387, 234, 15034, 14735, 14527])).
% 3.86/4.04 tff(15158,plain,
% 3.86/4.04 (b(z, s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[403, 15157])).
% 3.86/4.04 tff(15159,plain,
% 3.86/4.04 (~r(z, s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[379, 370, 165])).
% 3.86/4.04 tff(15160,plain,
% 3.86/4.04 (b(z, s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[391, 15159])).
% 3.86/4.04 tff(15161,plain,
% 3.86/4.04 (~r(s(s(elem!1)), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[6732, 370, 72])).
% 3.86/4.04 tff(15162,plain,
% 3.86/4.04 (b(s(s(elem!1)), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[784, 15161])).
% 3.86/4.04 tff(15163,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[6963, 15162, 14763, 747, 1740, 486])).
% 3.86/4.04 tff(15164,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(15165,plain,
% 3.86/4.04 (~r(s(z), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15164, 370, 1740, 486, 747, 1122])).
% 3.86/4.04 tff(15166,plain,
% 3.86/4.04 (b(s(z), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[106, 15165])).
% 3.86/4.04 tff(15167,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[3815, 15166, 15160, 1740, 2911, 486])).
% 3.86/4.04 tff(15168,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(15169,plain,
% 3.86/4.04 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15168, 14735, 15034, 15158, 14527, 12174, 162])).
% 3.86/4.04 tff(15170,plain,
% 3.86/4.04 (~(elem!1 = s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[899, 15157, 234])).
% 3.86/4.04 tff(15171,plain,
% 3.86/4.04 (~(s(z) = elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[752, 15170])).
% 3.86/4.04 tff(15172,plain,
% 3.86/4.04 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11555, 12174, 162])).
% 3.86/4.04 tff(15173,plain,
% 3.86/4.04 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(elem!1)) = elem!1)),
% 3.86/4.04 inference(monotonicity,[status(thm)],[1013])).
% 3.86/4.04 tff(15174,plain,
% 3.86/4.04 ((s(s(elem!1)) = elem!1) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.04 inference(symmetry,[status(thm)],[15173])).
% 3.86/4.04 tff(15175,plain,
% 3.86/4.04 ((s(s(elem!1)) = elem!1) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.04 inference(transitivity,[status(thm)],[15174, 5931])).
% 3.86/4.04 tff(15176,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15033, 747, 6387, 12173, 165, 234, 2605])).
% 3.86/4.04 tff(15177,plain,
% 3.86/4.04 (~r(z, s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15156, 12174, 165, 6387, 234, 15176, 14743, 747])).
% 3.86/4.04 tff(15178,plain,
% 3.86/4.04 (b(z, s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[403, 15177])).
% 3.86/4.04 tff(15179,plain,
% 3.86/4.04 (b(elem!1, s(s(elem!1)))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[321, 14151, 288])).
% 3.86/4.04 tff(15180,plain,
% 3.86/4.04 (b(s(s(elem!1)), elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[327, 207, 263])).
% 3.86/4.04 tff(15181,plain,
% 3.86/4.04 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[14703, 15180, 15176, 747, 1013, 15179])).
% 3.86/4.04 tff(15182,plain,
% 3.86/4.04 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[106, 15181])).
% 3.86/4.04 tff(15183,plain,
% 3.86/4.04 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[10729, 15182, 15178, 14743, 12174])).
% 3.86/4.04 tff(15184,plain,
% 3.86/4.04 (~(elem!1 = s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[899, 15177, 234])).
% 3.86/4.04 tff(15185,plain,
% 3.86/4.04 (~(s(z) = elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[752, 15184])).
% 3.86/4.04 tff(15186,plain,
% 3.86/4.04 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1237, 15185])).
% 3.86/4.04 tff(15187,plain,
% 3.86/4.04 (r(s(s(elem!1)), s(elem!1))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[277, 7148, 2605])).
% 3.86/4.04 tff(15188,plain,
% 3.86/4.04 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[14942, 15187, 1013, 15179, 6387, 15180, 234, 7150, 165, 5948, 15178, 747, 15186, 15182, 12173])).
% 3.86/4.04 tff(15189,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1011, 15188, 15183])).
% 3.86/4.04 tff(15190,plain,((s(s(elem!1)) = elem!1) | (~(s(s(s(s(z)))) = elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | b(s(s(s(s(z)))), z) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(15191,plain,
% 3.86/4.04 (s(s(elem!1)) = elem!1),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15190, 1013, 6387, 234, 165, 747, 12173, 2605])).
% 3.86/4.04 tff(15192,plain,
% 3.86/4.04 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[15191, 15175])).
% 3.86/4.04 tff(15193,plain,
% 3.86/4.04 (elem!1 = s(s(elem!1))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[196, 15191])).
% 3.86/4.04 tff(15194,plain,
% 3.86/4.04 (s(s(s(elem!1))) = s(elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1418, 15193])).
% 3.86/4.04 tff(15195,plain,
% 3.86/4.04 (~(s(s(s(z))) = s(elem!1))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[10460, 15194])).
% 3.86/4.04 tff(15196,plain,
% 3.86/4.04 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[4794, 15195])).
% 3.86/4.04 tff(15197,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15196, 15192])).
% 3.86/4.04 tff(15198,plain,((~(s(s(s(s(z)))) = elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | b(s(s(s(s(z)))), z) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(15199,plain,
% 3.86/4.04 (~(s(s(s(s(z)))) = elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[15198, 14527, 234, 162, 6387, 12173, 2605])).
% 3.86/4.04 tff(15200,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1144, 15199, 12207])).
% 3.86/4.04 tff(15201,plain,
% 3.86/4.04 (elem!1 = s(s(elem!1))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11515, 15169, 15200, 15172, 234, 6387, 162, 14527, 15171, 15034, 2605])).
% 3.86/4.04 tff(15202,plain,
% 3.86/4.04 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[3236, 15201])).
% 3.86/4.05 tff(15203,plain,
% 3.86/4.05 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[368, 15202, 15169])).
% 3.86/4.05 tff(15204,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3464, 15201, 15200])).
% 3.86/4.05 tff(15205,plain,
% 3.86/4.05 (s(s(s(elem!1))) = s(elem!1)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1418, 15201])).
% 3.86/4.05 tff(15206,plain,
% 3.86/4.05 (s(elem!1) = s(s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[217, 15205])).
% 3.86/4.05 tff(15207,plain,
% 3.86/4.05 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3225, 15206])).
% 3.86/4.05 tff(15208,plain,
% 3.86/4.05 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[15201])).
% 3.86/4.05 tff(15209,plain,
% 3.86/4.05 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = elem!1)),
% 3.86/4.05 inference(symmetry,[status(thm)],[15208])).
% 3.86/4.05 tff(15210,plain,
% 3.86/4.05 ((s(s(s(z))) = s(s(elem!1))) <=> (elem!1 = s(s(s(z))))),
% 3.86/4.05 inference(transitivity,[status(thm)],[15209, 1052])).
% 3.86/4.05 tff(15211,plain,
% 3.86/4.05 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[15210])).
% 3.86/4.05 tff(15212,plain,
% 3.86/4.05 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1237, 15171])).
% 3.86/4.05 tff(15213,plain,
% 3.86/4.05 (~(elem!1 = s(s(s(z))))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[15212, 15211])).
% 3.86/4.05 tff(15214,plain,
% 3.86/4.05 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11475, 14527, 15034, 15204, 15203])).
% 3.86/4.05 tff(15215,plain,
% 3.86/4.05 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[106, 15214])).
% 3.86/4.05 tff(15216,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10729, 15215, 15158, 14735, 12174])).
% 3.86/4.05 tff(15217,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1011, 15216])).
% 3.86/4.05 tff(15218,plain,
% 3.86/4.05 (~r(s(z), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11205, 911, 72])).
% 3.86/4.05 tff(15219,plain,
% 3.86/4.05 (b(s(z), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[424, 15218])).
% 3.86/4.05 tff(15220,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1749, 3831, 15219, 1740, 486, 14782])).
% 3.86/4.05 tff(15221,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15222,plain,
% 3.86/4.05 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15221, 14735, 15158, 15215, 12174])).
% 3.86/4.05 tff(15223,plain,
% 3.86/4.05 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[689, 15222])).
% 3.86/4.05 tff(15224,plain,
% 3.86/4.05 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11402, 15223, 15203, 15204, 15217])).
% 3.86/4.05 tff(15225,plain,
% 3.86/4.05 (~b(elem!1, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3458, 15224, 15201])).
% 3.86/4.05 tff(15226,plain,
% 3.86/4.05 (r(elem!1, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1160, 15225, 15213])).
% 3.86/4.05 tff(15227,plain,
% 3.86/4.05 (s(s(elem!1)) = elem!1),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[2015, 15201])).
% 3.86/4.05 tff(15228,plain,
% 3.86/4.05 (~r(s(s(s(z))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[14818, 15226, 14735, 14527, 15158, 12170, 15227, 234])).
% 3.86/4.05 tff(15229,plain,
% 3.86/4.05 (b(s(s(s(z))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[135, 15228])).
% 3.86/4.05 tff(15230,plain,
% 3.86/4.05 (~r(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3328, 15226, 234])).
% 3.86/4.05 tff(15231,plain,
% 3.86/4.05 (b(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[149, 15230])).
% 3.86/4.05 tff(15232,plain,
% 3.86/4.05 (~b(s(s(s(z))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3607, 15231, 14735, 15158, 15229])).
% 3.86/4.05 tff(15233,plain,
% 3.86/4.05 (r(s(s(s(z))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[437, 15232])).
% 3.86/4.05 tff(15234,plain,
% 3.86/4.05 (~r(elem!1, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3335, 15233, 15226])).
% 3.86/4.05 tff(15235,plain,
% 3.86/4.05 (~r(s(s(s(s(elem!1)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10928, 15234, 15201])).
% 3.86/4.05 tff(15236,plain,
% 3.86/4.05 (b(s(s(s(s(elem!1)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1585, 15235])).
% 3.86/4.05 tff(15237,plain,
% 3.86/4.05 (b(s(s(elem!1)), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10934, 15236, 15207])).
% 3.86/4.05 tff(15238,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(15239,plain,
% 3.86/4.05 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(15240,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[15239])).
% 3.86/4.05 tff(15241,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.05 inference(transitivity,[status(thm)],[15240, 15238])).
% 3.86/4.05 tff(15242,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.86/4.05 inference(quant_inst,[status(thm)],[])).
% 3.86/4.05 tff(15243,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[15242, 15241])).
% 3.86/4.05 tff(15244,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15243, 338, 14527, 15237, 15034, 15204, 15203])).
% 3.86/4.05 tff(15245,plain,(b(s(s(s(s(z)))), z) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(s(elem!1)), s(elem!1)) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15246,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15245, 234, 6387, 2605, 140])).
% 3.86/4.05 tff(15247,plain,
% 3.86/4.05 (b(s(s(elem!1)), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10652, 13856, 12178, 12168, 13855, 10433, 12180])).
% 3.86/4.05 tff(15248,plain,
% 3.86/4.05 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = s(s(elem!1))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[5931])).
% 3.86/4.05 tff(15249,plain,
% 3.86/4.05 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10701, 2882, 2605])).
% 3.86/4.05 tff(15250,plain,
% 3.86/4.05 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[15249, 15248])).
% 3.86/4.05 tff(15251,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10478, 15250, 1267])).
% 3.86/4.05 tff(15252,plain,
% 3.86/4.05 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(15253,plain,
% 3.86/4.05 (((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(15254,plain,
% 3.86/4.05 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[15253])).
% 3.86/4.05 tff(15255,plain,
% 3.86/4.05 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.86/4.05 inference(transitivity,[status(thm)],[15254, 15252])).
% 3.86/4.05 tff(15256,plain,
% 3.86/4.05 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.86/4.05 inference(quant_inst,[status(thm)],[])).
% 3.86/4.05 tff(15257,plain,
% 3.86/4.05 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1))))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 3.86/4.05 tff(15258,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15257, 82, 721, 108, 15251])).
% 3.86/4.05 tff(15259,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(elem!1))) | b(s(s(elem!1)), s(elem!1)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15260,plain,
% 3.86/4.05 (~r(s(s(s(z))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15259, 1267, 721, 2605, 108])).
% 3.86/4.05 tff(15261,plain,
% 3.86/4.05 (b(s(s(s(z))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[437, 15260])).
% 3.86/4.05 tff(15262,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15257, 82, 721, 108, 10491])).
% 3.86/4.05 tff(15263,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15264,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15263, 108, 721])).
% 3.86/4.05 tff(15265,plain,
% 3.86/4.05 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10478, 1267, 15264])).
% 3.86/4.05 tff(15266,plain,
% 3.86/4.05 (s(s(s(z))) = s(elem!1)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4794, 15265])).
% 3.86/4.05 tff(15267,plain,
% 3.86/4.05 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10692, 15266])).
% 3.86/4.05 tff(15268,plain,
% 3.86/4.05 (~r(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[189, 15267, 187])).
% 3.86/4.05 tff(15269,plain,
% 3.86/4.05 (b(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[149, 15268])).
% 3.86/4.05 tff(15270,plain,
% 3.86/4.05 (~b(s(z), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3356, 15269, 1740, 486, 15261])).
% 3.86/4.05 tff(15271,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10701, 15267, 2605])).
% 3.86/4.05 tff(15272,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1011, 15271])).
% 3.86/4.05 tff(15273,plain,
% 3.86/4.05 (~r(s(z), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3437, 15272, 108])).
% 3.86/4.05 tff(15274,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[424, 15273, 15270])).
% 3.86/4.05 tff(15275,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | b(s(s(elem!1)), s(elem!1)) | r(z, s(elem!1)) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15276,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15275, 13854, 12178, 12180, 2605, 108, 12172])).
% 3.86/4.05 tff(15277,plain,
% 3.86/4.05 (~r(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[189, 178, 187])).
% 3.86/4.05 tff(15278,plain,
% 3.86/4.05 (b(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[149, 15277])).
% 3.86/4.05 tff(15279,plain,
% 3.86/4.05 (~b(s(z), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11503, 15278, 175, 486, 3484, 878])).
% 3.86/4.05 tff(15280,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10701, 178, 2605])).
% 3.86/4.05 tff(15281,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1011, 15280])).
% 3.86/4.05 tff(15282,plain,
% 3.86/4.05 (~r(s(z), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3437, 15281, 108])).
% 3.86/4.05 tff(15283,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[424, 15282, 15279])).
% 3.86/4.05 tff(15284,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | b(s(s(elem!1)), s(elem!1)) | r(z, s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15285,plain,
% 3.86/4.05 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15284, 15276, 15246, 12180, 108, 15247, 2605, 13854])).
% 3.86/4.05 tff(15286,plain,
% 3.86/4.05 (~b(s(elem!1), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4302, 13857, 12178, 13855, 12180])).
% 3.86/4.05 tff(15287,plain,
% 3.86/4.05 (r(s(elem!1), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1812, 15286])).
% 3.86/4.05 tff(15288,plain,
% 3.86/4.05 (~r(s(elem!1), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1823, 15287, 162])).
% 3.86/4.05 tff(15289,plain,
% 3.86/4.05 (b(s(elem!1), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3081, 15288, 6853])).
% 3.86/4.05 tff(15290,plain,
% 3.86/4.05 (~b(z, s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3505, 651, 175, 13930, 13932])).
% 3.86/4.05 tff(15291,plain,
% 3.86/4.05 (r(z, s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[391, 15290])).
% 3.86/4.05 tff(15292,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11382, 15291, 234])).
% 3.86/4.05 tff(15293,plain,
% 3.86/4.05 (s(s(s(s(z)))) = elem!1),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1144, 15292, 4386])).
% 3.86/4.05 tff(15294,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[15293])).
% 3.86/4.05 tff(15295,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10478, 13912, 1267])).
% 3.86/4.05 tff(15296,plain,
% 3.86/4.05 (~b(z, s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3505, 651, 13930, 175, 13932])).
% 3.86/4.05 tff(15297,plain,
% 3.86/4.05 (r(z, s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[391, 15296])).
% 3.86/4.05 tff(15298,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10588, 15297, 15295, 165])).
% 3.86/4.05 tff(15299,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15300,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15299, 651, 175, 165, 12171])).
% 3.86/4.05 tff(15301,plain,
% 3.86/4.05 (~r(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1119, 1038, 371])).
% 3.86/4.05 tff(15302,plain,
% 3.86/4.05 (b(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[149, 15301])).
% 3.86/4.05 tff(15303,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11503, 5553, 15302, 175, 486, 3484, 878])).
% 3.86/4.05 tff(15304,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15305,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15304, 15300, 13932, 175, 878, 108, 15291])).
% 3.86/4.05 tff(15306,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1011, 15305])).
% 3.86/4.05 tff(15307,plain,
% 3.86/4.05 (b(elem!1, s(s(s(z))))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[15306, 15294])).
% 3.86/4.05 tff(15308,plain,
% 3.86/4.05 (~(elem!1 = s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[899, 13931, 234])).
% 3.86/4.05 tff(15309,plain,
% 3.86/4.05 (~(s(z) = elem!1)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[752, 15308])).
% 3.86/4.05 tff(15310,plain,
% 3.86/4.05 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1237, 15309])).
% 3.86/4.05 tff(15311,plain,
% 3.86/4.05 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1207, 15310])).
% 3.86/4.05 tff(15312,plain,
% 3.86/4.05 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[379, 15291, 165])).
% 3.86/4.05 tff(15313,plain,
% 3.86/4.05 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[368, 15312, 13913])).
% 3.86/4.05 tff(15314,plain,
% 3.86/4.05 (~r(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11412, 15313, 15311, 165, 15300, 15306, 15291])).
% 3.86/4.05 tff(15315,plain,
% 3.86/4.05 (b(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[149, 15314])).
% 3.86/4.05 tff(15316,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), z) <=> b(elem!1, z)),
% 3.86/4.05 inference(monotonicity,[status(thm)],[15293])).
% 3.86/4.05 tff(15317,plain,
% 3.86/4.05 (b(elem!1, z)),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[175, 15316])).
% 3.86/4.05 tff(15318,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(15319,plain,
% 3.86/4.05 (((~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(15320,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z)))))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[15319])).
% 3.86/4.05 tff(15321,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))))),
% 3.86/4.05 inference(transitivity,[status(thm)],[15320, 15318])).
% 3.86/4.05 tff(15322,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.86/4.05 inference(quant_inst,[status(thm)],[])).
% 3.86/4.05 tff(15323,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z)))))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[15322, 15321])).
% 3.86/4.05 tff(15324,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15323, 338, 15317, 763, 314, 15315, 15307, 1620])).
% 3.86/4.05 tff(15325,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(z))) | b(s(s(s(s(z)))), elem!1) | (~r(z, elem!1)) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(15326,plain,
% 3.86/4.05 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15325, 4386, 13863, 15289, 162, 15246, 15247, 108, 12168, 234, 12171])).
% 3.86/4.05 tff(15327,plain,
% 3.86/4.05 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[106, 15326])).
% 3.86/4.05 tff(15328,plain,
% 3.86/4.05 (~(elem!1 = s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[899, 12179, 234])).
% 3.86/4.05 tff(15329,plain,
% 3.86/4.05 (~(s(z) = elem!1)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[752, 15328])).
% 3.86/4.05 tff(15330,plain,
% 3.86/4.05 (~r(s(s(s(z))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15259, 1267, 12172, 2605, 108])).
% 3.86/4.05 tff(15331,plain,
% 3.86/4.05 (b(s(s(s(z))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[437, 15330])).
% 3.86/4.05 tff(15332,plain,
% 3.86/4.05 (~b(s(elem!1), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4302, 12217, 12178, 12212, 12180])).
% 3.86/4.05 tff(15333,plain,
% 3.86/4.05 (r(s(elem!1), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1812, 15332])).
% 3.86/4.05 tff(15334,plain,
% 3.86/4.05 (~r(s(elem!1), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1823, 15333, 162])).
% 3.86/4.05 tff(15335,plain,
% 3.86/4.05 (b(s(elem!1), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3081, 15334, 6853])).
% 3.86/4.05 tff(15336,plain,
% 3.86/4.05 (~b(s(s(s(z))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1749, 5553, 12178, 12180, 458])).
% 3.86/4.05 tff(15337,plain,
% 3.86/4.05 (r(s(s(s(z))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[135, 15336])).
% 3.86/4.05 tff(15338,plain,
% 3.86/4.05 (~b(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[3356, 5553, 12178, 12180, 458])).
% 3.86/4.05 tff(15339,plain,
% 3.86/4.05 (r(z, s(s(s(z))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[149, 15338])).
% 3.86/4.05 tff(15340,plain,
% 3.86/4.05 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[189, 15339, 12211])).
% 3.86/4.05 tff(15341,plain,
% 3.86/4.05 (~(s(s(s(z))) = s(elem!1))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10692, 15340])).
% 3.86/4.05 tff(15342,plain,
% 3.86/4.05 (~b(s(elem!1), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4887, 15341, 15333, 5553, 458, 15337])).
% 3.86/4.05 tff(15343,plain,
% 3.86/4.05 (r(s(elem!1), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[2070, 15342, 12214])).
% 3.86/4.05 tff(15344,plain,
% 3.86/4.05 (~r(elem!1, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[7599, 15343, 12168, 15335, 232, 294, 12176])).
% 3.86/4.05 tff(15345,plain,
% 3.86/4.05 (b(elem!1, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[819, 15344, 15328])).
% 3.86/4.05 tff(15346,plain,
% 3.86/4.05 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4794, 15341])).
% 3.86/4.05 tff(15347,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10478, 15346, 1267])).
% 3.86/4.05 tff(15348,plain,
% 3.86/4.05 (~r(s(s(elem!1)), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10675, 15347, 108])).
% 3.86/4.05 tff(15349,plain,
% 3.86/4.05 (b(s(s(elem!1)), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[784, 15348])).
% 3.86/4.05 tff(15350,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(15351,plain,
% 3.86/4.05 (((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(15352,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[15351])).
% 3.86/4.05 tff(15353,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.05 inference(transitivity,[status(thm)],[15352, 15350])).
% 3.86/4.05 tff(15354,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.86/4.05 inference(quant_inst,[status(thm)],[])).
% 3.86/4.05 tff(15355,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 3.86/4.05 tff(15356,plain,
% 3.86/4.05 ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(z)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15355, 338, 12168, 12176, 6387, 706])).
% 3.86/4.05 tff(15357,plain,
% 3.86/4.05 (~b(s(s(s(elem!1))), elem!1)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[15356, 764])).
% 3.86/4.05 tff(15358,plain,
% 3.86/4.05 (b(s(elem!1), elem!1)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[312, 12231, 294])).
% 3.86/4.05 tff(15359,plain,
% 3.86/4.05 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8358, 12172, 162])).
% 3.86/4.05 tff(15360,plain,
% 3.86/4.05 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1651, 2119, 15359])).
% 3.86/4.05 tff(15361,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15362,plain,
% 3.86/4.06 (((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15363,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.86/4.06 inference(monotonicity,[status(thm)],[15362])).
% 3.86/4.06 tff(15364,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.06 inference(transitivity,[status(thm)],[15363, 15361])).
% 3.86/4.06 tff(15365,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
% 3.86/4.06 tff(15366,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[15365, 15364])).
% 3.86/4.06 tff(15367,plain,
% 3.86/4.06 ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15366, 338, 12168, 12176, 15360, 706])).
% 3.86/4.06 tff(15368,plain,
% 3.86/4.06 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15367, 764])).
% 3.86/4.06 tff(15369,plain,
% 3.86/4.06 (~(s(s(s(elem!1))) = elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[6576, 15368, 15358])).
% 3.86/4.06 tff(15370,plain,
% 3.86/4.06 (r(s(s(s(elem!1))), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[2162, 15369, 15357])).
% 3.86/4.06 tff(15371,plain,
% 3.86/4.06 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[3303, 14278])).
% 3.86/4.06 tff(15372,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15373,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
% 3.86/4.06 tff(15374,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[15373, 15372])).
% 3.86/4.06 tff(15375,plain,
% 3.86/4.06 ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15374, 338, 12168, 6387, 15360, 706])).
% 3.86/4.06 tff(15376,plain,
% 3.86/4.06 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15375, 764])).
% 3.86/4.06 tff(15377,plain,
% 3.86/4.06 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1562, 15376, 2181])).
% 3.86/4.06 tff(15378,plain,
% 3.86/4.06 (~b(elem!1, s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[12238, 338, 12168, 12176, 6387, 15358, 15335])).
% 3.86/4.06 tff(15379,plain,
% 3.86/4.06 (~(elem!1 = s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1924, 15369])).
% 3.86/4.06 tff(15380,plain,
% 3.86/4.06 (r(elem!1, s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1946, 15379, 15378])).
% 3.86/4.06 tff(15381,plain,
% 3.86/4.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15382,plain,
% 3.86/4.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
% 3.86/4.06 tff(15383,plain,
% 3.86/4.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), elem!1))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[15382, 15381])).
% 3.86/4.06 tff(15384,plain,
% 3.86/4.06 (~r(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15383, 82, 15380, 15377])).
% 3.86/4.06 tff(15385,plain,
% 3.86/4.06 ((s(s(s(s(elem!1)))) = elem!1) | r(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[5299, 21, 15368])).
% 3.86/4.06 tff(15386,plain,
% 3.86/4.06 (s(s(s(s(elem!1)))) = elem!1),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15385, 15384])).
% 3.86/4.06 tff(15387,assumption,(s(s(s(s(elem!1)))) = elem!1), introduced(assumption)).
% 3.86/4.06 tff(15388,plain,
% 3.86/4.06 (elem!1 = s(s(s(s(elem!1))))),
% 3.86/4.06 inference(symmetry,[status(thm)],[15387])).
% 3.86/4.06 tff(15389,plain,
% 3.86/4.06 (s(s(s(z))) = s(s(s(s(elem!1))))),
% 3.86/4.06 inference(transitivity,[status(thm)],[1053, 15388])).
% 3.86/4.06 tff(15390,plain,
% 3.86/4.06 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(elem!1)))))),
% 3.86/4.06 inference(monotonicity,[status(thm)],[15389])).
% 3.86/4.06 tff(15391,plain,
% 3.86/4.06 (s(s(z)) = s(s(s(elem!1)))),
% 3.86/4.06 inference(transitivity,[status(thm)],[53, 15390, 1324])).
% 3.86/4.06 tff(15392,plain,
% 3.86/4.06 (inj_0(s(s(z))) = inj_0(s(s(s(elem!1))))),
% 3.86/4.06 inference(monotonicity,[status(thm)],[15391])).
% 3.86/4.06 tff(15393,plain,
% 3.86/4.06 (s(z) = s(s(elem!1))),
% 3.86/4.06 inference(transitivity,[status(thm)],[446, 15392, 204])).
% 3.86/4.06 tff(15394,plain,
% 3.86/4.06 ($false),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[738, 15393])).
% 3.86/4.06 tff(15395,plain,((~(s(s(s(z))) = elem!1)) | (~(s(s(s(s(elem!1)))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.06 tff(15396,plain,
% 3.86/4.06 (~(s(s(s(z))) = elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15395, 15386])).
% 3.86/4.06 tff(15397,plain,
% 3.86/4.06 (~r(z, s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[7576, 15379, 162, 234, 137])).
% 3.86/4.06 tff(15398,plain,
% 3.86/4.06 (b(z, s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1373, 15397])).
% 3.86/4.06 tff(15399,plain,
% 3.86/4.06 (~b(z, elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[13019, 15398, 6387, 162, 264, 15378, 225, 15357])).
% 3.86/4.06 tff(15400,plain,
% 3.86/4.06 (~r(s(s(s(elem!1))), z)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[2157, 15370, 234])).
% 3.86/4.06 tff(15401,plain,
% 3.86/4.06 (b(s(s(s(elem!1))), z)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1387, 15400])).
% 3.86/4.06 tff(15402,plain,
% 3.86/4.06 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1829, 15401, 162, 12212, 6853, 15358, 15398, 12168])).
% 3.86/4.06 tff(15403,plain,
% 3.86/4.06 (r(s(s(s(elem!1))), s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1971, 15402, 218])).
% 3.86/4.06 tff(15404,plain,
% 3.86/4.06 (~r(elem!1, s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[11736, 15403, 264, 15379, 2180, 12168, 12176])).
% 3.86/4.06 tff(15405,plain,
% 3.86/4.06 (b(elem!1, s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[252, 15404, 232])).
% 3.86/4.06 tff(15406,plain,
% 3.86/4.06 (~b(elem!1, z)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[14237, 338, 12168, 12212, 15405, 15358, 15335])).
% 3.86/4.06 tff(15407,plain,
% 3.86/4.06 (~r(s(s(s(elem!1))), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[13842, 15406, 140, 12171, 15397, 15399])).
% 3.86/4.06 tff(15408,plain,
% 3.86/4.06 (b(s(s(s(elem!1))), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1990, 15407])).
% 3.86/4.06 tff(15409,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15410,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))))),
% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
% 3.86/4.06 tff(15411,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1)))))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[15410, 15409])).
% 3.86/4.06 tff(15412,plain,
% 3.86/4.06 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15411, 338, 314, 706, 458, 5431, 3083])).
% 3.86/4.06 tff(15413,plain,
% 3.86/4.06 (r(s(s(s(z))), s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[3784, 15412, 3778])).
% 3.86/4.06 tff(15414,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15415,plain,
% 3.86/4.06 (((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1))) <=> ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15416,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1)))))),
% 3.86/4.06 inference(monotonicity,[status(thm)],[15415])).
% 3.86/4.06 tff(15417,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))))),
% 3.86/4.06 inference(transitivity,[status(thm)],[15416, 15414])).
% 3.86/4.06 tff(15418,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)))),
% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
% 3.86/4.06 tff(15419,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1)))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[15418, 15417])).
% 3.86/4.06 tff(15420,plain,
% 3.86/4.06 (~b(s(s(s(z))), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15419, 338, 314, 706, 458, 831, 3083])).
% 3.86/4.06 tff(15421,plain,
% 3.86/4.06 (r(s(s(s(z))), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1110, 15420, 1103])).
% 3.86/4.06 tff(15422,plain,
% 3.86/4.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15423,plain,
% 3.86/4.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(elem!1))))))),
% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
% 3.86/4.06 tff(15424,plain,
% 3.86/4.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(s(elem!1)))))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 3.86/4.06 tff(15425,plain,
% 3.86/4.06 ($false),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15424, 82, 1269, 15421, 15413])).
% 3.86/4.06 tff(15426,plain,((~b(s(s(s(z))), s(z))) | (~r(s(s(s(elem!1))), elem!1)) | (s(s(s(z))) = s(s(s(elem!1)))) | (s(s(s(z))) = elem!1) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.06 tff(15427,plain,
% 3.86/4.06 ($false),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15426, 15408, 15396, 15358, 458, 15371, 706, 15370, 12217, 831])).
% 3.86/4.06 tff(15428,plain,((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), elem!1)) | (~b(elem!1, s(z))) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.06 tff(15429,plain,
% 3.86/4.06 (~b(s(z), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15428, 15349, 458, 15345, 140, 12171, 264, 6387, 234, 137])).
% 3.86/4.06 tff(15430,plain,
% 3.86/4.06 (r(s(z), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[701, 15429, 15329])).
% 3.86/4.06 tff(15431,plain,
% 3.86/4.06 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[2949, 15430, 72])).
% 3.86/4.06 tff(15432,plain,
% 3.86/4.06 (s(s(s(s(z)))) = elem!1),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1144, 15431, 4386])).
% 3.86/4.06 tff(15433,plain,
% 3.86/4.06 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 3.86/4.06 inference(monotonicity,[status(thm)],[15432])).
% 3.86/4.06 tff(15434,plain,
% 3.86/4.06 (r(elem!1, s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.06 inference(symmetry,[status(thm)],[15433])).
% 3.86/4.06 tff(15435,plain,
% 3.86/4.06 ((~r(elem!1, s(s(s(z))))) <=> (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.86/4.06 inference(monotonicity,[status(thm)],[15434])).
% 3.86/4.06 tff(15436,plain,
% 3.86/4.06 (~r(elem!1, s(s(s(z))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[3328, 15339, 234])).
% 3.86/4.06 tff(15437,plain,
% 3.86/4.06 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[15436, 15435])).
% 3.86/4.06 tff(15438,plain,
% 3.86/4.06 ($false),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1038, 15437])).
% 3.86/4.06 tff(15439,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(s(s(z)))), elem!1) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (elem!1 = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | b(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.06 tff(15440,plain,
% 3.86/4.06 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15439, 15331, 15327, 4386, 140, 12171, 10433, 6387, 234, 137, 108, 1267])).
% 3.86/4.06 tff(15441,plain,
% 3.86/4.06 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1011, 15440])).
% 3.86/4.06 tff(15442,plain,
% 3.86/4.06 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[10701, 15441, 2605])).
% 3.86/4.06 tff(15443,plain,
% 3.86/4.06 (~(s(s(s(z))) = s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[10692, 15442])).
% 3.86/4.06 tff(15444,plain,
% 3.86/4.06 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[4794, 15443])).
% 3.86/4.06 tff(15445,plain,
% 3.86/4.06 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[10478, 15444, 1267])).
% 3.86/4.06 tff(15446,plain,
% 3.86/4.06 (~r(s(s(elem!1)), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[10675, 15445, 108])).
% 3.86/4.06 tff(15447,plain,
% 3.86/4.06 (b(s(s(elem!1)), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[784, 15446])).
% 3.86/4.06 tff(15448,plain,
% 3.86/4.06 (~r(elem!1, s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1178, 1147, 108])).
% 3.86/4.06 tff(15449,plain,
% 3.86/4.06 (b(elem!1, s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[819, 15448, 15328])).
% 3.86/4.06 tff(15450,plain,
% 3.86/4.06 (~r(s(z), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[3417, 1147, 108])).
% 3.86/4.06 tff(15451,plain,
% 3.86/4.06 (b(s(z), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[701, 15450, 15329])).
% 3.86/4.06 tff(15452,plain,
% 3.86/4.06 ($false),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15428, 15451, 15449, 458, 764, 140, 12171, 264, 6387, 234, 137])).
% 3.86/4.06 tff(15453,plain,((~r(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (elem!1 = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.06 tff(15454,plain,
% 3.86/4.06 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15453, 15331, 15447, 140, 12171, 10433, 6387, 234, 137, 108])).
% 3.86/4.06 tff(15455,plain,
% 3.86/4.06 (s(s(s(s(z)))) = elem!1),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1144, 15454, 4386])).
% 3.86/4.06 tff(15456,plain,
% 3.86/4.06 (r(z, s(s(s(s(z))))) <=> r(z, elem!1)),
% 3.86/4.06 inference(monotonicity,[status(thm)],[15455])).
% 3.86/4.06 tff(15457,plain,
% 3.86/4.06 (r(z, elem!1) <=> r(z, s(s(s(s(z)))))),
% 3.86/4.06 inference(symmetry,[status(thm)],[15456])).
% 3.86/4.06 tff(15458,plain,
% 3.86/4.06 (r(z, s(s(s(s(z)))))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[234, 15457])).
% 3.86/4.06 tff(15459,plain,
% 3.86/4.06 (~r(z, s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[10588, 15445, 162])).
% 3.86/4.06 tff(15460,plain,
% 3.86/4.06 ($false),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15459, 15458])).
% 3.86/4.06 tff(15461,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~r(z, elem!1)) | b(s(s(s(s(z)))), elem!1) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.06 tff(15462,plain,
% 3.86/4.06 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15461, 4386, 234, 140, 12171, 6387, 137, 108, 2605])).
% 3.86/4.06 tff(15463,plain,
% 3.86/4.06 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15284, 15462, 15246, 12180, 108, 15247, 2605, 13854])).
% 3.86/4.06 tff(15464,plain,
% 3.86/4.06 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1237, 15329])).
% 3.86/4.06 tff(15465,plain,
% 3.86/4.06 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1207, 15464])).
% 3.86/4.06 tff(15466,plain,
% 3.86/4.06 (b(s(s(elem!1)), z)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[10652, 12216, 12178, 12168, 12212, 264, 12180])).
% 3.86/4.06 tff(15467,plain,
% 3.86/4.06 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15325, 4386, 15358, 15335, 162, 175, 15466, 108, 12168, 234, 12171])).
% 3.86/4.06 tff(15468,plain,
% 3.86/4.06 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[106, 15467])).
% 3.86/4.06 tff(15469,plain,
% 3.86/4.06 (~r(z, s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15304, 1038, 12180, 175, 15466, 108, 3484])).
% 3.86/4.06 tff(15470,plain,
% 3.86/4.06 (b(z, s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[391, 15469])).
% 3.86/4.06 tff(15471,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15472,plain,
% 3.86/4.06 (((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15473,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.86/4.06 inference(monotonicity,[status(thm)],[15472])).
% 3.86/4.06 tff(15474,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.06 inference(transitivity,[status(thm)],[15473, 15471])).
% 3.86/4.06 tff(15475,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)))),
% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
% 3.86/4.06 tff(15476,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[15475, 15474])).
% 3.86/4.06 tff(15477,plain,
% 3.86/4.06 ($false),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15476, 338, 878, 175, 555, 3484, 3253])).
% 3.86/4.06 tff(15478,plain,((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.06 tff(15479,plain,
% 3.86/4.06 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[15478, 15470, 175, 15466, 3484])).
% 3.86/4.06 tff(15480,plain,
% 3.86/4.06 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[368, 15479, 363])).
% 3.86/4.06 tff(15481,plain,
% 3.86/4.06 (~r(s(s(elem!1)), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[6732, 15480, 15468])).
% 3.86/4.06 tff(15482,plain,
% 3.86/4.06 (b(s(s(elem!1)), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[784, 15481])).
% 3.86/4.06 tff(15483,plain,
% 3.86/4.06 (~b(s(s(s(elem!1))), s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1829, 15398, 162, 12212, 6853, 15358, 15401, 12168])).
% 3.86/4.06 tff(15484,plain,
% 3.86/4.06 (r(s(s(s(elem!1))), s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1971, 15483, 218])).
% 3.86/4.06 tff(15485,plain,
% 3.86/4.06 (~r(elem!1, s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[11736, 15484, 264, 15379, 2180, 12168, 12176])).
% 3.86/4.06 tff(15486,plain,
% 3.86/4.06 (b(elem!1, s(elem!1))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[252, 15485, 232])).
% 3.86/4.06 tff(15487,plain,
% 3.86/4.06 (~b(elem!1, z)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[14237, 338, 12168, 12212, 15486, 15358, 15335])).
% 3.86/4.06 tff(15488,plain,
% 3.86/4.06 (~r(s(s(s(elem!1))), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[13842, 15487, 140, 12171, 15397, 15399])).
% 3.86/4.06 tff(15489,plain,
% 3.86/4.06 (b(s(s(s(elem!1))), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[1990, 15488])).
% 3.86/4.06 tff(15490,plain,
% 3.86/4.06 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[6302, 15484, 264])).
% 3.86/4.06 tff(15491,plain,
% 3.86/4.06 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[2619, 15490, 7060])).
% 3.86/4.06 tff(15492,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15493,plain,
% 3.86/4.06 (((~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(15494,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z)))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15493])).
% 3.86/4.07 tff(15495,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.86/4.07 inference(transitivity,[status(thm)],[15494, 15492])).
% 3.86/4.07 tff(15496,plain,
% 3.86/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)))),
% 3.86/4.07 inference(quant_inst,[status(thm)],[])).
% 3.86/4.07 tff(15497,plain,
% 3.86/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(z)))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 3.86/4.07 tff(15498,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15497, 338, 15398, 15401, 15466, 15491, 12178, 15489])).
% 3.86/4.07 tff(15499,plain,((~b(s(s(elem!1)), s(z))) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (elem!1 = s(s(elem!1))) | (~b(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(15500,plain,
% 3.86/4.07 (~b(s(z), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15499, 15482, 12171, 264, 6387, 234, 137, 140])).
% 3.86/4.07 tff(15501,plain,
% 3.86/4.07 (r(s(z), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[701, 15500, 15329])).
% 3.86/4.07 tff(15502,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[2949, 15501, 15468])).
% 3.86/4.07 tff(15503,plain,
% 3.86/4.07 (s(s(s(s(z)))) = elem!1),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1144, 15502, 4386])).
% 3.86/4.07 tff(15504,plain,
% 3.86/4.07 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15503])).
% 3.86/4.07 tff(15505,plain,
% 3.86/4.07 (r(elem!1, s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.07 inference(symmetry,[status(thm)],[15504])).
% 3.86/4.07 tff(15506,plain,
% 3.86/4.07 ((~r(elem!1, s(s(s(z))))) <=> (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15505])).
% 3.86/4.07 tff(15507,plain,
% 3.86/4.07 (~b(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[11503, 5553, 175, 12180, 3484, 15466])).
% 3.86/4.07 tff(15508,plain,
% 3.86/4.07 (r(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[149, 15507])).
% 3.86/4.07 tff(15509,plain,
% 3.86/4.07 (~r(elem!1, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3328, 15508, 234])).
% 3.86/4.07 tff(15510,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15509, 15506])).
% 3.86/4.07 tff(15511,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1038, 15510])).
% 3.86/4.07 tff(15512,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(s(s(z)))), elem!1) | b(s(z), s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (elem!1 = s(s(elem!1))) | b(z, s(s(elem!1))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(15513,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15512, 4386, 12171, 10433, 6387, 234, 137, 140, 15463, 15246, 15462, 108])).
% 3.86/4.07 tff(15514,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1011, 15513])).
% 3.86/4.07 tff(15515,plain,
% 3.86/4.07 (~b(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15478, 3253, 175, 878, 3484])).
% 3.86/4.07 tff(15516,plain,
% 3.86/4.07 (r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[391, 15515])).
% 3.86/4.07 tff(15517,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[11382, 15516, 234])).
% 3.86/4.07 tff(15518,plain,
% 3.86/4.07 (s(s(s(s(z)))) = elem!1),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1144, 15517, 4386])).
% 3.86/4.07 tff(15519,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15518])).
% 3.86/4.07 tff(15520,plain,
% 3.86/4.07 (b(elem!1, s(s(s(z))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[987, 15519])).
% 3.86/4.07 tff(15521,plain,
% 3.86/4.07 (~r(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[11412, 15516, 6879, 165, 3484, 987, 3253])).
% 3.86/4.07 tff(15522,plain,
% 3.86/4.07 (b(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[149, 15521])).
% 3.86/4.07 tff(15523,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), z) <=> b(elem!1, z)),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15518])).
% 3.86/4.07 tff(15524,plain,
% 3.86/4.07 (b(elem!1, z)),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[175, 15523])).
% 3.86/4.07 tff(15525,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15323, 338, 15524, 763, 314, 15522, 15520, 1620])).
% 3.86/4.07 tff(15526,plain,((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(s(s(z)))), elem!1) | (s(s(elem!1)) = s(s(s(z)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(15527,plain,
% 3.86/4.07 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15526, 15514, 13863, 15289, 15246, 12168, 4386, 15465, 162, 15462, 234, 15247])).
% 3.86/4.07 tff(15528,plain,
% 3.86/4.07 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[368, 15527, 15463])).
% 3.86/4.07 tff(15529,plain,
% 3.86/4.07 (~r(s(s(elem!1)), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[6732, 15528, 15327])).
% 3.86/4.07 tff(15530,plain,
% 3.86/4.07 (b(s(s(elem!1)), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[784, 15529])).
% 3.86/4.07 tff(15531,plain,
% 3.86/4.07 (~b(s(z), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15499, 15530, 12171, 10433, 6387, 234, 137, 140])).
% 3.86/4.07 tff(15532,plain,
% 3.86/4.07 (r(s(z), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[701, 15531, 15329])).
% 3.86/4.07 tff(15533,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[2949, 15532, 15327])).
% 3.86/4.07 tff(15534,plain,
% 3.86/4.07 (s(s(s(s(z)))) = elem!1),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1144, 15533, 4386])).
% 3.86/4.07 tff(15535,plain,
% 3.86/4.07 (r(z, s(s(s(s(z))))) <=> r(z, elem!1)),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15534])).
% 3.86/4.07 tff(15536,plain,
% 3.86/4.07 (r(z, elem!1) <=> r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(symmetry,[status(thm)],[15535])).
% 3.86/4.07 tff(15537,plain,
% 3.86/4.07 (r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[234, 15536])).
% 3.86/4.07 tff(15538,plain,
% 3.86/4.07 (~r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[379, 15528, 162])).
% 3.86/4.07 tff(15539,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15538, 15537])).
% 3.86/4.07 tff(15540,plain,(b(s(s(s(s(z)))), elem!1) | (~r(z, elem!1)) | b(s(z), s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(z, s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(15541,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15540, 137, 12171, 6387, 234, 140, 108, 2605])).
% 3.86/4.07 tff(15542,plain,
% 3.86/4.07 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[11385, 15276, 12176, 12168, 15541])).
% 3.86/4.07 tff(15543,plain,
% 3.86/4.07 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[368, 15542, 15285])).
% 3.86/4.07 tff(15544,plain,
% 3.86/4.07 (~r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[379, 15543, 162])).
% 3.86/4.07 tff(15545,plain,
% 3.86/4.07 (b(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[391, 15544])).
% 3.86/4.07 tff(15546,plain,
% 3.86/4.07 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3505, 15545, 15246, 12178, 12180])).
% 3.86/4.07 tff(15547,plain,
% 3.86/4.07 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[106, 15546])).
% 3.86/4.07 tff(15548,plain,
% 3.86/4.07 (~r(elem!1, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[14030, 15547, 12176, 15329, 15541, 12168, 15276, 15543])).
% 3.86/4.07 tff(15549,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(15550,plain,
% 3.86/4.07 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(15551,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15550])).
% 3.86/4.07 tff(15552,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.86/4.07 inference(transitivity,[status(thm)],[15551, 15549])).
% 3.86/4.07 tff(15553,plain,
% 3.86/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.86/4.07 inference(quant_inst,[status(thm)],[])).
% 3.86/4.07 tff(15554,plain,
% 3.86/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z))))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15553, 15552])).
% 3.86/4.07 tff(15555,plain,
% 3.86/4.07 (~b(elem!1, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15554, 338, 12168, 12176, 13863, 15289, 15276])).
% 3.86/4.07 tff(15556,plain,
% 3.86/4.07 (elem!1 = s(s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1094, 15555, 15548])).
% 3.86/4.07 tff(15557,plain,
% 3.86/4.07 (r(z, elem!1) <=> r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15556])).
% 3.86/4.07 tff(15558,plain,
% 3.86/4.07 (r(z, s(s(s(s(z))))) <=> r(z, elem!1)),
% 3.86/4.07 inference(symmetry,[status(thm)],[15557])).
% 3.86/4.07 tff(15559,plain,
% 3.86/4.07 ((~r(z, s(s(s(s(z)))))) <=> (~r(z, elem!1))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15558])).
% 3.86/4.07 tff(15560,plain,
% 3.86/4.07 (~r(z, elem!1)),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15544, 15559])).
% 3.86/4.07 tff(15561,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[234, 15560])).
% 3.86/4.07 tff(15562,plain,((elem!1 = s(s(elem!1))) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), s(z))) | b(s(s(elem!1)), s(elem!1)) | b(s(z), s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(15563,plain,
% 3.86/4.07 (elem!1 = s(s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15562, 108, 234, 2605, 12171, 6387, 140])).
% 3.86/4.07 tff(15564,plain,
% 3.86/4.07 (b(elem!1, s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15563])).
% 3.86/4.07 tff(15565,plain,
% 3.86/4.07 (b(s(s(elem!1)), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.86/4.07 inference(symmetry,[status(thm)],[15564])).
% 3.86/4.07 tff(15566,plain,
% 3.86/4.07 ((~b(s(s(elem!1)), s(elem!1))) <=> (~b(elem!1, s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15565])).
% 3.86/4.07 tff(15567,plain,
% 3.86/4.07 (~b(elem!1, s(elem!1))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[2605, 15566])).
% 3.86/4.07 tff(15568,plain,
% 3.86/4.07 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15563])).
% 3.86/4.07 tff(15569,plain,
% 3.86/4.07 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.86/4.07 inference(symmetry,[status(thm)],[15568])).
% 3.86/4.07 tff(15570,plain,
% 3.86/4.07 (s(s(s(elem!1))) = s(elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1418, 15563])).
% 3.86/4.07 tff(15571,plain,
% 3.86/4.07 (s(elem!1) = s(s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[217, 15570])).
% 3.86/4.07 tff(15572,plain,
% 3.86/4.07 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3225, 15571])).
% 3.86/4.07 tff(15573,plain,
% 3.86/4.07 (elem!1 = s(s(s(s(elem!1))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15572, 15569])).
% 3.86/4.07 tff(15574,plain,
% 3.86/4.07 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15563])).
% 3.86/4.07 tff(15575,plain,
% 3.86/4.07 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), elem!1)),
% 3.86/4.07 inference(symmetry,[status(thm)],[15574])).
% 3.86/4.07 tff(15576,plain,
% 3.86/4.07 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15570])).
% 3.86/4.07 tff(15577,plain,
% 3.86/4.07 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), elem!1)),
% 3.86/4.07 inference(transitivity,[status(thm)],[15576, 15575])).
% 3.86/4.07 tff(15578,plain,
% 3.86/4.07 (b(s(elem!1), elem!1)),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[6387, 15577])).
% 3.86/4.07 tff(15579,plain,
% 3.86/4.07 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15563])).
% 3.86/4.07 tff(15580,plain,
% 3.86/4.07 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.07 inference(symmetry,[status(thm)],[15579])).
% 3.86/4.07 tff(15581,plain,
% 3.86/4.07 (s(s(elem!1)) = elem!1),
% 3.86/4.07 inference(symmetry,[status(thm)],[15563])).
% 3.86/4.07 tff(15582,plain,
% 3.86/4.07 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 3.86/4.07 inference(symmetry,[status(thm)],[15572])).
% 3.86/4.07 tff(15583,plain,
% 3.86/4.07 (s(s(s(s(elem!1)))) = elem!1),
% 3.86/4.07 inference(transitivity,[status(thm)],[15582, 15581])).
% 3.86/4.07 tff(15584,plain,
% 3.86/4.07 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(elem!1, elem!1)),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15583, 15581])).
% 3.86/4.07 tff(15585,plain,
% 3.86/4.07 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.86/4.07 inference(symmetry,[status(thm)],[15584])).
% 3.86/4.07 tff(15586,plain,
% 3.86/4.07 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.07 inference(transitivity,[status(thm)],[15585, 15580])).
% 3.86/4.07 tff(15587,plain,
% 3.86/4.07 ((~b(elem!1, elem!1)) <=> (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15586])).
% 3.86/4.07 tff(15588,plain,
% 3.86/4.07 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[7551, 15587])).
% 3.86/4.07 tff(15589,plain,
% 3.86/4.07 (~(s(s(s(elem!1))) = elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[6576, 15588, 15578])).
% 3.86/4.07 tff(15590,plain,
% 3.86/4.07 (~(elem!1 = s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10900, 15589, 15573])).
% 3.86/4.07 tff(15591,plain,
% 3.86/4.07 (r(elem!1, s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[252, 15590, 15567])).
% 3.86/4.07 tff(15592,plain,
% 3.86/4.07 (~r(z, s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[243, 15591, 234])).
% 3.86/4.07 tff(15593,plain,
% 3.86/4.07 (b(z, s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1615, 15592])).
% 3.86/4.07 tff(15594,plain,
% 3.86/4.07 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15570])).
% 3.86/4.07 tff(15595,plain,
% 3.86/4.07 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 3.86/4.07 inference(transitivity,[status(thm)],[15594, 3630])).
% 3.86/4.07 tff(15596,plain,
% 3.86/4.07 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15595])).
% 3.86/4.07 tff(15597,plain,
% 3.86/4.07 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1431, 15563])).
% 3.86/4.07 tff(15598,plain,
% 3.86/4.07 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 3.86/4.07 tff(15599,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15563])).
% 3.86/4.07 tff(15600,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), elem!1)),
% 3.86/4.07 inference(symmetry,[status(thm)],[15599])).
% 3.86/4.07 tff(15601,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15263, 108, 12172])).
% 3.86/4.07 tff(15602,plain,
% 3.86/4.07 (~(s(s(s(z))) = s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10460, 15570])).
% 3.86/4.07 tff(15603,plain,
% 3.86/4.07 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[4794, 15602])).
% 3.86/4.07 tff(15604,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10478, 15603, 15601])).
% 3.86/4.07 tff(15605,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15604, 15600])).
% 3.86/4.07 tff(15606,plain,
% 3.86/4.07 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15594])).
% 3.86/4.07 tff(15607,plain,
% 3.86/4.07 (~(s(s(s(s(z)))) = s(elem!1))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15597, 15606])).
% 3.86/4.07 tff(15608,plain,
% 3.86/4.07 (s(s(elem!1)) = elem!1),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[2015, 15563])).
% 3.86/4.07 tff(15609,plain,
% 3.86/4.07 (r(s(z), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[13678, 15608, 12171])).
% 3.86/4.07 tff(15610,plain,
% 3.86/4.07 (~r(s(s(s(z))), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3164, 15609, 234])).
% 3.86/4.07 tff(15611,plain,
% 3.86/4.07 ((s(s(s(z))) = elem!1) <=> (s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15563])).
% 3.86/4.07 tff(15612,plain,
% 3.86/4.07 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = elem!1)),
% 3.86/4.07 inference(symmetry,[status(thm)],[15611])).
% 3.86/4.07 tff(15613,plain,
% 3.86/4.07 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(z))) = elem!1))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15612])).
% 3.86/4.07 tff(15614,plain,
% 3.86/4.07 (~(s(s(s(z))) = elem!1)),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15464, 15613])).
% 3.86/4.07 tff(15615,plain,
% 3.86/4.07 (b(s(s(s(z))), elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1110, 15614, 15610])).
% 3.86/4.07 tff(15616,plain,
% 3.86/4.07 (b(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3471, 15615, 15563])).
% 3.86/4.07 tff(15617,plain,
% 3.86/4.07 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[14624])).
% 3.86/4.07 tff(15618,plain,
% 3.86/4.07 (~(elem!1 = s(s(s(s(z)))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[14550, 15617])).
% 3.86/4.07 tff(15619,plain,
% 3.86/4.07 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3284, 14072, 1740, 175, 486, 14080, 10482])).
% 3.86/4.07 tff(15620,plain,
% 3.86/4.07 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[119, 15619])).
% 3.86/4.07 tff(15621,plain,
% 3.86/4.07 (~r(s(z), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3437, 15620, 1038])).
% 3.86/4.07 tff(15622,plain,
% 3.86/4.07 (b(s(z), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[424, 15621])).
% 3.86/4.07 tff(15623,plain,
% 3.86/4.07 (~(s(s(s(elem!1))) = elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[6576, 14846, 14852])).
% 3.86/4.07 tff(15624,plain,
% 3.86/4.07 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1287, 15623])).
% 3.86/4.07 tff(15625,plain,
% 3.86/4.07 (~(s(s(elem!1)) = s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1343, 15624])).
% 3.86/4.07 tff(15626,plain,
% 3.86/4.07 (r(s(s(elem!1)), s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[277, 15625, 2605])).
% 3.86/4.07 tff(15627,plain,
% 3.86/4.07 (~(elem!1 = s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10900, 15623, 14843])).
% 3.86/4.07 tff(15628,plain,
% 3.86/4.07 (r(elem!1, s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[252, 15627, 14841])).
% 3.86/4.07 tff(15629,plain,
% 3.86/4.07 (~r(z, s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[243, 15628, 234])).
% 3.86/4.07 tff(15630,plain,
% 3.86/4.07 (b(z, s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1615, 15629])).
% 3.86/4.07 tff(15631,plain,
% 3.86/4.07 ((s(elem!1) = s(z)) <=> (s(z) = s(elem!1))),
% 3.86/4.07 inference(symmetry,[status(thm)],[10452])).
% 3.86/4.07 tff(15632,plain,
% 3.86/4.07 ((s(z) = s(s(s(elem!1)))) <=> (s(z) = s(elem!1))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[10483])).
% 3.86/4.07 tff(15633,plain,
% 3.86/4.07 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(z))),
% 3.86/4.07 inference(transitivity,[status(thm)],[15632, 10452])).
% 3.86/4.07 tff(15634,plain,
% 3.86/4.07 ((s(z) = s(s(s(elem!1)))) <=> (s(z) = s(elem!1))),
% 3.86/4.07 inference(transitivity,[status(thm)],[15633, 15631])).
% 3.86/4.07 tff(15635,plain,
% 3.86/4.07 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(z) = s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15634])).
% 3.86/4.07 tff(15636,plain,
% 3.86/4.07 (~(s(z) = s(elem!1))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[1263, 15635])).
% 3.86/4.07 tff(15637,plain,
% 3.86/4.07 (~r(s(z), s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1981, 15628, 14080])).
% 3.86/4.07 tff(15638,plain,
% 3.86/4.07 (b(s(z), s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3066, 15637, 15636])).
% 3.86/4.07 tff(15639,plain,
% 3.86/4.07 (~b(s(elem!1), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[4302, 15638, 486, 15630, 1740])).
% 3.86/4.07 tff(15640,plain,
% 3.86/4.07 (r(s(elem!1), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1812, 15639])).
% 3.86/4.07 tff(15641,plain,
% 3.86/4.07 (~r(s(s(elem!1)), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[5958, 15640, 15626])).
% 3.86/4.07 tff(15642,plain,
% 3.86/4.07 (b(s(s(elem!1)), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[800, 15641])).
% 3.86/4.07 tff(15643,plain,
% 3.86/4.07 (~b(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[11503, 15642, 3484, 175, 486, 15622])).
% 3.86/4.07 tff(15644,plain,
% 3.86/4.07 (r(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[149, 15643])).
% 3.86/4.07 tff(15645,plain,
% 3.86/4.07 (~r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1119, 15644, 1038])).
% 3.86/4.07 tff(15646,plain,
% 3.86/4.07 (b(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[391, 15645])).
% 3.86/4.07 tff(15647,plain,
% 3.86/4.07 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3505, 15646, 1740, 175, 486])).
% 3.86/4.07 tff(15648,plain,
% 3.86/4.07 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[106, 15647])).
% 3.86/4.07 tff(15649,plain,
% 3.86/4.07 (~r(elem!1, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3247, 15648, 14080])).
% 3.86/4.07 tff(15650,plain,
% 3.86/4.07 (b(elem!1, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1094, 15649, 15618])).
% 3.86/4.07 tff(15651,plain,
% 3.86/4.07 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15650, 3474])).
% 3.86/4.07 tff(15652,plain,
% 3.86/4.07 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15478, 15646, 3484, 175, 15642])).
% 3.86/4.07 tff(15653,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15652, 15651])).
% 3.86/4.07 tff(15654,plain,((~(s(s(elem!1)) = elem!1)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(15655,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15654, 15616, 15246, 12178, 12180, 15608, 234, 2605, 15604, 6387, 12171])).
% 3.86/4.07 tff(15656,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1011, 15655])).
% 3.86/4.07 tff(15657,plain,
% 3.86/4.07 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[14090, 15656, 12171, 234, 12180, 15608, 15604, 15464, 15616])).
% 3.86/4.07 tff(15658,plain,
% 3.86/4.07 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[689, 15657])).
% 3.86/4.07 tff(15659,plain,
% 3.86/4.07 ((s(s(s(z))) = s(s(elem!1))) <=> (elem!1 = s(s(s(z))))),
% 3.86/4.07 inference(transitivity,[status(thm)],[15612, 1052])).
% 3.86/4.07 tff(15660,plain,
% 3.86/4.07 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15659])).
% 3.86/4.07 tff(15661,plain,
% 3.86/4.07 (~(elem!1 = s(s(s(z))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[15464, 15660])).
% 3.86/4.07 tff(15662,plain,
% 3.86/4.07 (~r(s(s(s(z))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[7735, 15658, 15246, 12180, 12178])).
% 3.86/4.07 tff(15663,plain,
% 3.86/4.07 (b(s(s(s(z))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[437, 15662])).
% 3.86/4.07 tff(15664,plain,
% 3.86/4.07 (~b(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3451, 15663, 15246, 12178, 15661, 12180, 15609, 15615, 15605, 108])).
% 3.86/4.07 tff(15665,plain,
% 3.86/4.07 (r(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[149, 15664])).
% 3.86/4.07 tff(15666,plain,
% 3.86/4.07 (~r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[919, 15665, 15658])).
% 3.86/4.07 tff(15667,plain,
% 3.86/4.07 (b(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[391, 15666])).
% 3.86/4.07 tff(15668,plain,
% 3.86/4.07 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3505, 15667, 15246, 12178, 12180])).
% 3.86/4.07 tff(15669,plain,
% 3.86/4.07 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[106, 15668])).
% 3.86/4.07 tff(15670,plain,
% 3.86/4.07 (~b(s(elem!1), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[8710, 4915, 314, 1130, 175, 1597])).
% 3.86/4.07 tff(15671,plain,
% 3.86/4.07 (~r(s(elem!1), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[4043, 3047, 72])).
% 3.86/4.07 tff(15672,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3668, 21, 15671, 15670, 3664])).
% 3.86/4.07 tff(15673,plain,((~r(s(elem!1), s(z))) | (s(elem!1) = s(s(s(s(z))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(elem!1))) | (s(s(s(s(z)))) = s(elem!1)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(15674,plain,
% 3.86/4.07 (~r(s(elem!1), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15673, 15669, 15246, 108, 15578, 15607, 15605, 15598, 15593])).
% 3.86/4.07 tff(15675,plain,
% 3.86/4.07 (~r(elem!1, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3328, 15665, 234])).
% 3.86/4.07 tff(15676,plain,
% 3.86/4.07 (b(elem!1, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1160, 15675, 15661])).
% 3.86/4.07 tff(15677,plain,
% 3.86/4.07 (~r(s(z), s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1981, 15591, 15609])).
% 3.86/4.07 tff(15678,plain,
% 3.86/4.07 (b(s(z), s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3066, 15677, 12215])).
% 3.86/4.07 tff(15679,plain,
% 3.86/4.07 (~b(s(elem!1), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[4302, 15678, 12178, 15593, 12180])).
% 3.86/4.07 tff(15680,plain,
% 3.86/4.07 (r(s(elem!1), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1812, 15679])).
% 3.86/4.07 tff(15681,plain,
% 3.86/4.07 (~b(s(elem!1), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[5497, 15669, 15615, 15605, 15680, 12178, 15602, 12180, 108, 15676, 15609, 15661])).
% 3.86/4.07 tff(15682,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[2070, 15681, 15674, 12214])).
% 3.86/4.07 tff(15683,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(z, elem!1)) | b(s(z), s(s(elem!1))) | b(s(s(elem!1)), s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(15684,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[15683, 12171, 234, 2605, 6387, 140])).
% 3.86/4.07 tff(15685,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[119, 15684])).
% 3.86/4.07 tff(15686,plain,
% 3.86/4.07 (~b(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3272, 338, 12180, 12178, 15685, 15246])).
% 3.86/4.07 tff(15687,plain,
% 3.86/4.07 (r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[391, 15686])).
% 3.86/4.07 tff(15688,plain,
% 3.86/4.07 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3204, 15685, 15246, 12180, 12178])).
% 3.86/4.07 tff(15689,plain,
% 3.86/4.07 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[106, 15688])).
% 3.86/4.07 tff(15690,plain,
% 3.86/4.07 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10478, 1267, 11509])).
% 3.86/4.07 tff(15691,plain,
% 3.86/4.07 (s(s(s(z))) = s(elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[4794, 15690])).
% 3.86/4.07 tff(15692,plain,
% 3.86/4.07 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10692, 15691])).
% 3.86/4.07 tff(15693,plain,
% 3.86/4.07 (~(s(s(elem!1)) = s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[5466, 15691])).
% 3.86/4.07 tff(15694,plain,
% 3.86/4.07 (r(s(s(elem!1)), s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[277, 15693, 2605])).
% 3.86/4.07 tff(15695,plain,
% 3.86/4.07 (~r(z, s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[272, 15694, 165])).
% 3.86/4.07 tff(15696,plain,
% 3.86/4.07 (~r(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[189, 15695, 15692])).
% 3.86/4.07 tff(15697,plain,
% 3.86/4.07 (b(z, s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[149, 15696])).
% 3.86/4.07 tff(15698,plain,
% 3.86/4.07 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10813, 15697, 175, 13932, 13930, 371])).
% 3.86/4.07 tff(15699,plain,
% 3.86/4.07 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[689, 15698])).
% 3.86/4.07 tff(15700,plain,
% 3.86/4.07 (~(s(s(s(elem!1))) = s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10460, 15691])).
% 3.86/4.07 tff(15701,plain,
% 3.86/4.07 (~(elem!1 = s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1418, 15700])).
% 3.86/4.07 tff(15702,plain,
% 3.86/4.07 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10701, 15692, 2605])).
% 3.86/4.07 tff(15703,plain,
% 3.86/4.07 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1011, 15702])).
% 3.86/4.07 tff(15704,plain,
% 3.86/4.07 (~r(s(z), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[4106, 15703, 72])).
% 3.86/4.07 tff(15705,plain,
% 3.86/4.07 (b(s(z), s(s(s(z))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[424, 15704])).
% 3.86/4.07 tff(15706,plain,
% 3.86/4.07 (~b(s(s(s(z))), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3859, 15697, 13930, 13932, 15705])).
% 3.86/4.07 tff(15707,plain,
% 3.86/4.07 (r(s(s(s(z))), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[135, 15706])).
% 3.86/4.07 tff(15708,plain,
% 3.86/4.07 (b(s(s(elem!1)), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10652, 10688, 13932, 10422, 13930, 10433, 13856])).
% 3.86/4.07 tff(15709,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12195, 878, 1267, 165])).
% 3.86/4.07 tff(15710,plain,
% 3.86/4.07 (~b(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[3272, 338, 486, 1740, 2911, 15709])).
% 3.86/4.07 tff(15711,plain,
% 3.86/4.07 (r(z, s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[391, 15710])).
% 3.86/4.07 tff(15712,plain,
% 3.86/4.07 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10588, 15711, 165])).
% 3.86/4.07 tff(15713,plain,
% 3.86/4.07 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[10478, 15712, 1267])).
% 3.86/4.07 tff(15714,plain,
% 3.86/4.07 (inj_0(s(s(s(s(z))))) = inj_0(s(s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15713])).
% 3.86/4.07 tff(15715,plain,
% 3.86/4.07 (s(s(s(z))) = s(elem!1)),
% 3.86/4.07 inference(transitivity,[status(thm)],[45, 15714, 181])).
% 3.86/4.07 tff(15716,plain,
% 3.86/4.07 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15715])).
% 3.86/4.07 tff(15717,plain,
% 3.86/4.07 (b(s(elem!1), s(s(elem!1)))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[3254, 15716])).
% 3.86/4.07 tff(15718,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[15713])).
% 3.86/4.07 tff(15719,plain,
% 3.86/4.07 (b(s(s(elem!1)), s(z))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[2911, 15718])).
% 3.86/4.08 tff(15720,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15721,plain,
% 3.86/4.08 (((~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15722,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(z)))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15721])).
% 3.86/4.08 tff(15723,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.08 inference(transitivity,[status(thm)],[15722, 15720])).
% 3.86/4.08 tff(15724,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(15725,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(z)))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[15724, 15723])).
% 3.86/4.08 tff(15726,plain,
% 3.86/4.08 (~b(s(elem!1), elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15725, 338, 762, 878, 486, 15719, 15717])).
% 3.86/4.08 tff(15727,plain,
% 3.86/4.08 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15715])).
% 3.86/4.08 tff(15728,plain,
% 3.86/4.08 (r(s(elem!1), z)),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[426, 15727])).
% 3.86/4.08 tff(15729,plain,
% 3.86/4.08 (~r(s(elem!1), elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[2764, 15728, 234])).
% 3.86/4.08 tff(15730,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[312, 15729, 15726, 306])).
% 3.86/4.08 tff(15731,plain,((~b(s(s(s(s(z)))), s(z))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | b(s(s(s(s(z)))), s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.08 tff(15732,plain,
% 3.86/4.08 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15731, 294, 234, 10423, 15708, 13932, 3254, 426, 1267, 165, 13930])).
% 3.86/4.08 tff(15733,plain,
% 3.86/4.08 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[119, 15732])).
% 3.86/4.08 tff(15734,plain,
% 3.86/4.08 (~r(s(s(s(z))), s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15259, 15733, 1267, 2605, 12172])).
% 3.86/4.08 tff(15735,plain,
% 3.86/4.08 (b(s(s(s(z))), s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[437, 15734])).
% 3.86/4.08 tff(15736,plain,
% 3.86/4.08 (b(s(s(s(s(z)))), z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12195, 15708, 1267, 165])).
% 3.86/4.08 tff(15737,plain,
% 3.86/4.08 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[8358, 12172, 165])).
% 3.86/4.08 tff(15738,plain,
% 3.86/4.08 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1651, 2119, 15737])).
% 3.86/4.08 tff(15739,plain,
% 3.86/4.08 (~b(z, s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[3356, 5553, 1740, 486, 458])).
% 3.86/4.08 tff(15740,plain,
% 3.86/4.08 (r(z, s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[149, 15739])).
% 3.86/4.08 tff(15741,plain,
% 3.86/4.08 (~r(z, s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1119, 15740, 1038])).
% 3.86/4.08 tff(15742,plain,
% 3.86/4.08 (b(z, s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[391, 15741])).
% 3.86/4.08 tff(15743,plain,
% 3.86/4.08 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[3505, 15742, 1740, 175, 486])).
% 3.86/4.08 tff(15744,plain,
% 3.86/4.08 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[106, 15743])).
% 3.86/4.08 tff(15745,plain,
% 3.86/4.08 (~r(elem!1, s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[3328, 15740, 234])).
% 3.86/4.08 tff(15746,plain,
% 3.86/4.08 (~r(s(s(s(s(z)))), z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[10723, 1038, 426])).
% 3.86/4.08 tff(15747,plain,
% 3.86/4.08 (~b(s(z), s(elem!1))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[10767, 15746, 15745, 763, 762, 3254, 1788, 165, 306, 486, 4709, 1740, 234])).
% 3.86/4.08 tff(15748,plain,
% 3.86/4.08 (s(z) = s(elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[3066, 15747, 3063])).
% 3.86/4.08 tff(15749,plain,
% 3.86/4.08 (s(elem!1) = s(z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1919, 15748])).
% 3.86/4.08 tff(15750,plain,
% 3.86/4.08 (z = elem!1),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1912, 15749])).
% 3.86/4.08 tff(15751,plain,
% 3.86/4.08 (b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[2856, 15750, 175])).
% 3.86/4.08 tff(15752,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15753,plain,
% 3.86/4.08 (((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15754,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15753])).
% 3.86/4.08 tff(15755,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.08 inference(transitivity,[status(thm)],[15754, 15752])).
% 3.86/4.08 tff(15756,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(15757,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[15756, 15755])).
% 3.86/4.08 tff(15758,plain,
% 3.86/4.08 ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15757, 338, 762, 878, 2301, 1740])).
% 3.86/4.08 tff(15759,plain,
% 3.86/4.08 (~b(s(s(elem!1)), s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15758, 15751])).
% 3.86/4.08 tff(15760,plain,
% 3.86/4.08 (r(s(s(elem!1)), s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[784, 15759])).
% 3.86/4.08 tff(15761,plain,
% 3.86/4.08 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[189, 15740, 187])).
% 3.86/4.08 tff(15762,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15763,plain,
% 3.86/4.08 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15764,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15763])).
% 3.86/4.08 tff(15765,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.08 inference(transitivity,[status(thm)],[15764, 15762])).
% 3.86/4.08 tff(15766,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(15767,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[15766, 15765])).
% 3.86/4.08 tff(15768,plain,
% 3.86/4.08 ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15767, 338, 762, 878, 2301, 175])).
% 3.86/4.08 tff(15769,plain,
% 3.86/4.08 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15768, 15751])).
% 3.86/4.08 tff(15770,plain,
% 3.86/4.08 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[368, 15769, 15761])).
% 3.86/4.08 tff(15771,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[6732, 15770, 15760, 15744])).
% 3.86/4.08 tff(15772,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | r(s(z), s(elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~b(z, s(z))) | (~r(z, elem!1)) | r(z, s(elem!1)) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.08 tff(15773,plain,
% 3.86/4.08 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15772, 10423, 15708, 15738, 15736, 13930, 13856, 10422, 3254, 6853, 165, 294, 13932, 234, 10687, 15735, 15733, 426])).
% 3.86/4.08 tff(15774,plain,
% 3.86/4.08 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1011, 15773])).
% 3.86/4.08 tff(15775,plain,
% 3.86/4.08 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[10701, 15774, 2605])).
% 3.86/4.08 tff(15776,plain,
% 3.86/4.08 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15299, 15736, 1267, 165, 12171])).
% 3.86/4.08 tff(15777,plain,
% 3.86/4.08 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[106, 15776])).
% 3.86/4.08 tff(15778,plain,
% 3.86/4.08 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[189, 164, 187])).
% 3.86/4.08 tff(15779,plain,
% 3.86/4.08 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[368, 15778, 362])).
% 3.86/4.08 tff(15780,plain,
% 3.86/4.08 (~(z = elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[4391, 4386, 175])).
% 3.86/4.08 tff(15781,plain,
% 3.86/4.08 (~(s(elem!1) = s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1912, 15780])).
% 3.86/4.08 tff(15782,plain,
% 3.86/4.08 (~(s(z) = s(elem!1))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1919, 15781])).
% 3.86/4.08 tff(15783,plain,
% 3.86/4.08 (b(s(z), s(elem!1))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[3066, 15782, 3063])).
% 3.86/4.08 tff(15784,plain,
% 3.86/4.08 (~b(s(elem!1), z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[4302, 15783, 486, 1597, 1740])).
% 3.86/4.08 tff(15785,plain,
% 3.86/4.08 (r(s(elem!1), z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1812, 15784])).
% 3.86/4.08 tff(15786,plain,
% 3.86/4.08 (~r(s(elem!1), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1823, 15785, 165])).
% 3.86/4.08 tff(15787,plain,
% 3.86/4.08 (b(s(elem!1), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[3081, 15786, 1788])).
% 3.86/4.08 tff(15788,plain,
% 3.86/4.08 (~r(s(elem!1), elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[4304, 15783, 234, 1740, 486])).
% 3.86/4.08 tff(15789,plain,
% 3.86/4.08 (b(s(elem!1), elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[312, 15788, 306])).
% 3.86/4.08 tff(15790,plain,
% 3.86/4.08 (~b(elem!1, s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[10758, 338, 763, 762, 15789, 15787, 3254])).
% 3.86/4.08 tff(15791,plain,
% 3.86/4.08 (elem!1 = s(s(s(z)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1160, 15790, 1154])).
% 3.86/4.08 tff(15792,plain,
% 3.86/4.08 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15791])).
% 3.86/4.08 tff(15793,plain,
% 3.86/4.08 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), elem!1)),
% 3.86/4.08 inference(symmetry,[status(thm)],[15792])).
% 3.86/4.08 tff(15794,plain,
% 3.86/4.08 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[987, 15793])).
% 3.86/4.08 tff(15795,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[4386, 15794])).
% 3.86/4.08 tff(15796,plain,(b(s(s(s(s(z)))), elem!1) | (~b(s(s(s(s(z)))), s(s(s(z))))) | r(elem!1, s(s(s(z)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~b(z, s(z))) | (~b(z, s(elem!1))) | (~b(s(z), z)) | (~r(z, elem!1)) | r(s(z), s(elem!1)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.08 tff(15797,plain,
% 3.86/4.08 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15796, 10944, 987, 763, 762, 3254, 1788, 165, 306, 486, 4709, 1740, 234, 3063, 175])).
% 3.86/4.08 tff(15798,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15799,plain,
% 3.86/4.08 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15800,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15799])).
% 3.86/4.08 tff(15801,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.08 inference(transitivity,[status(thm)],[15800, 15798])).
% 3.86/4.08 tff(15802,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(15803,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[15802, 15801])).
% 3.86/4.08 tff(15804,plain,
% 3.86/4.08 ((~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15803, 338, 763, 762, 15797, 3254])).
% 3.86/4.08 tff(15805,plain,
% 3.86/4.08 (~b(elem!1, s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15804, 15779])).
% 3.86/4.08 tff(15806,plain,
% 3.86/4.08 (elem!1 = s(s(s(z)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1160, 15805, 10944])).
% 3.86/4.08 tff(15807,plain,
% 3.86/4.08 (s(elem!1) = s(s(s(s(z))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15806])).
% 3.86/4.08 tff(15808,plain,
% 3.86/4.08 (r(s(elem!1), z) <=> r(s(s(s(s(z)))), z)),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15807])).
% 3.86/4.08 tff(15809,plain,
% 3.86/4.08 (r(s(s(s(s(z)))), z) <=> r(s(elem!1), z)),
% 3.86/4.08 inference(symmetry,[status(thm)],[15808])).
% 3.86/4.08 tff(15810,plain,
% 3.86/4.08 ((~r(s(s(s(s(z)))), z)) <=> (~r(s(elem!1), z))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15809])).
% 3.86/4.08 tff(15811,plain,
% 3.86/4.08 (~r(s(elem!1), z)),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[121, 15810])).
% 3.86/4.08 tff(15812,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15813,plain,
% 3.86/4.08 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15814,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[15813])).
% 3.86/4.08 tff(15815,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 3.86/4.08 inference(transitivity,[status(thm)],[15814, 15812])).
% 3.86/4.08 tff(15816,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(15817,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[15816, 15815])).
% 3.86/4.08 tff(15818,plain,
% 3.86/4.08 ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15817, 338, 763, 762, 2301, 15797])).
% 3.86/4.08 tff(15819,plain,
% 3.86/4.08 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15818, 15779])).
% 3.86/4.08 tff(15820,plain,
% 3.86/4.08 (~(z = elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[2856, 15819, 175])).
% 3.86/4.08 tff(15821,plain,
% 3.86/4.08 (~(s(elem!1) = s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1912, 15820])).
% 3.86/4.08 tff(15822,plain,
% 3.86/4.08 (~(s(z) = s(elem!1))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1919, 15821])).
% 3.86/4.08 tff(15823,plain,
% 3.86/4.08 (b(s(z), s(elem!1))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[3066, 15822, 3063])).
% 3.86/4.08 tff(15824,plain,
% 3.86/4.08 (~b(s(elem!1), z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[4302, 15823, 486, 4709, 1740])).
% 3.86/4.08 tff(15825,plain,
% 3.86/4.08 (r(s(elem!1), z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1812, 15824])).
% 3.86/4.08 tff(15826,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15825, 15811])).
% 3.86/4.08 tff(15827,plain,((~r(z, s(s(s(z))))) | r(s(s(s(s(z)))), z) | (~b(z, s(z))) | (~b(s(z), z)) | r(s(z), s(elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | r(s(s(elem!1)), s(s(s(s(z))))) | r(z, s(elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(elem!1) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.08 tff(15828,plain,
% 3.86/4.08 (~r(z, s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[15827, 362, 486, 1740, 3063, 175, 763, 762, 2301, 3254, 987, 187, 121, 1788, 165, 306, 234])).
% 3.86/4.08 tff(15829,plain,
% 3.86/4.08 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[368, 362, 363])).
% 3.86/4.08 tff(15830,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(15831,plain,
% 3.86/4.08 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(15832,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15831])).
% 3.86/4.09 tff(15833,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.09 inference(transitivity,[status(thm)],[15832, 15830])).
% 3.86/4.09 tff(15834,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(15835,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[15834, 15833])).
% 3.86/4.09 tff(15836,plain,
% 3.86/4.09 ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15835, 338, 878, 486, 458, 175])).
% 3.86/4.09 tff(15837,plain,
% 3.86/4.09 (~b(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15836, 15829])).
% 3.86/4.09 tff(15838,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[149, 15837, 15828])).
% 3.86/4.09 tff(15839,plain,(r(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | r(s(z), s(elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | r(z, s(elem!1)) | r(s(s(s(s(z)))), z) | (s(elem!1) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (s(s(elem!1)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15840,plain,
% 3.86/4.09 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15839, 121, 486, 458, 175, 1740, 3063, 763, 762, 2301, 3254, 987, 187, 878, 1788, 165, 306, 234, 363])).
% 3.86/4.09 tff(15841,plain,
% 3.86/4.09 (~r(s(s(elem!1)), s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[6732, 15840, 72])).
% 3.86/4.09 tff(15842,plain,
% 3.86/4.09 (b(s(s(elem!1)), s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[784, 15841])).
% 3.86/4.09 tff(15843,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(15844,plain,
% 3.86/4.09 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(15845,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15844])).
% 3.86/4.09 tff(15846,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.09 inference(transitivity,[status(thm)],[15845, 15843])).
% 3.86/4.09 tff(15847,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(15848,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z)))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 3.86/4.09 tff(15849,plain,
% 3.86/4.09 ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15848, 338, 878, 486, 1740, 458])).
% 3.86/4.09 tff(15850,plain,
% 3.86/4.09 (~b(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15849, 15842])).
% 3.86/4.09 tff(15851,plain,
% 3.86/4.09 (r(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[149, 15850])).
% 3.86/4.09 tff(15852,plain,
% 3.86/4.09 (~r(elem!1, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3328, 15851, 234])).
% 3.86/4.09 tff(15853,plain,
% 3.86/4.09 (~b(s(z), s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10767, 15852, 121, 763, 762, 3254, 1788, 165, 306, 486, 4709, 1740, 234])).
% 3.86/4.09 tff(15854,plain,
% 3.86/4.09 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15758, 15842])).
% 3.86/4.09 tff(15855,plain,
% 3.86/4.09 (~(z = elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2856, 15854, 175])).
% 3.86/4.09 tff(15856,plain,
% 3.86/4.09 (~(s(elem!1) = s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1912, 15855])).
% 3.86/4.09 tff(15857,plain,
% 3.86/4.09 (~(s(z) = s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1919, 15856])).
% 3.86/4.09 tff(15858,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3066, 15857, 15853, 3063])).
% 3.86/4.09 tff(15859,plain,(r(s(s(s(s(z)))), z) | r(s(z), s(elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | r(z, s(elem!1)) | (s(s(elem!1)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15860,plain,
% 3.86/4.09 (r(s(s(s(s(z)))), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15859, 13856, 10422, 10423, 3254, 6853, 165, 294, 13932, 13930, 234, 15736, 15708, 15738, 15735, 15777, 15774, 10687, 15775])).
% 3.86/4.09 tff(15861,plain,
% 3.86/4.09 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11555, 15860, 165])).
% 3.86/4.09 tff(15862,plain,
% 3.86/4.09 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10478, 15861, 1267])).
% 3.86/4.09 tff(15863,plain,
% 3.86/4.09 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[15862, 4380])).
% 3.86/4.09 tff(15864,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15775, 15863])).
% 3.86/4.09 tff(15865,plain,((elem!1 = s(s(elem!1))) | b(s(s(s(s(z)))), s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(z, elem!1)) | b(s(z), s(s(elem!1))) | b(s(s(elem!1)), s(elem!1)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15866,plain,
% 3.86/4.09 (~b(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15865, 15707, 165, 12171, 234, 1267, 2605, 15701])).
% 3.86/4.09 tff(15867,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10740, 15866, 15699, 15690])).
% 3.86/4.09 tff(15868,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~r(z, s(s(elem!1)))) | b(s(z), s(s(elem!1))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15869,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15868, 12171, 162, 234, 2605, 15246, 15687, 15689])).
% 3.86/4.09 tff(15870,plain,
% 3.86/4.09 (~r(s(z), s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[8352, 10433, 721])).
% 3.86/4.09 tff(15871,plain,
% 3.86/4.09 (b(s(s(elem!1)), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10652, 15870, 7467, 10422, 10688, 10433, 12197])).
% 3.86/4.09 tff(15872,plain,
% 3.86/4.09 (~(elem!1 = s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[899, 8355, 234])).
% 3.86/4.09 tff(15873,plain,
% 3.86/4.09 (~(s(z) = elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[752, 15872])).
% 3.86/4.09 tff(15874,plain,
% 3.86/4.09 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1237, 15873])).
% 3.86/4.09 tff(15875,plain,
% 3.86/4.09 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1207, 15874])).
% 3.86/4.09 tff(15876,plain,
% 3.86/4.09 (b(s(z), s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3066, 15870, 10718])).
% 3.86/4.09 tff(15877,plain,
% 3.86/4.09 (~b(s(elem!1), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[4302, 15876, 7467, 10688, 12197])).
% 3.86/4.09 tff(15878,plain,
% 3.86/4.09 (r(s(elem!1), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1812, 15877])).
% 3.86/4.09 tff(15879,plain,
% 3.86/4.09 (~r(s(elem!1), s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1823, 15878, 165])).
% 3.86/4.09 tff(15880,plain,
% 3.86/4.09 (b(s(elem!1), s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3081, 15879, 6853])).
% 3.86/4.09 tff(15881,plain,
% 3.86/4.09 (~r(s(elem!1), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[4304, 15876, 234, 7467, 12197])).
% 3.86/4.09 tff(15882,plain,
% 3.86/4.09 (b(s(elem!1), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[312, 15881, 294])).
% 3.86/4.09 tff(15883,plain,
% 3.86/4.09 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[368, 15778, 11372])).
% 3.86/4.09 tff(15884,plain,
% 3.86/4.09 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1119, 164, 371])).
% 3.86/4.09 tff(15885,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1011, 15884])).
% 3.86/4.09 tff(15886,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15526, 15883, 314, 1620, 175, 763, 15885, 6879, 165, 3484, 234, 878])).
% 3.86/4.09 tff(15887,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11385, 15886, 15883, 3484, 763, 762])).
% 3.86/4.09 tff(15888,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (s(s(elem!1)) = s(s(s(z)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~r(z, s(s(s(s(z)))))) | r(z, s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15889,plain,
% 3.86/4.09 (~r(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15888, 10422, 3484, 10423, 15882, 15880, 175, 15875, 165, 234, 15871, 371, 10687])).
% 3.86/4.09 tff(15890,plain,
% 3.86/4.09 (b(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[149, 15889])).
% 3.86/4.09 tff(15891,plain,
% 3.86/4.09 (~b(s(z), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11503, 15890, 175, 12197, 3484, 15871])).
% 3.86/4.09 tff(15892,plain,
% 3.86/4.09 (r(s(z), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[424, 15891])).
% 3.86/4.09 tff(15893,plain,
% 3.86/4.09 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[4106, 15892, 72])).
% 3.86/4.09 tff(15894,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1011, 15893])).
% 3.86/4.09 tff(15895,plain,
% 3.86/4.09 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10701, 15894, 2605])).
% 3.86/4.09 tff(15896,plain,
% 3.86/4.09 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[368, 15895, 11372])).
% 3.86/4.09 tff(15897,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15526, 15896, 15882, 15880, 175, 10422, 15894, 15875, 165, 3484, 234, 15871])).
% 3.86/4.09 tff(15898,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11385, 15897, 15896, 3484, 10422, 10423])).
% 3.86/4.09 tff(15899,plain,((elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15900,plain,
% 3.86/4.09 (elem!1 = s(s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15899, 15869, 15246, 162, 234, 2605, 15689, 15687, 12172])).
% 3.86/4.09 tff(15901,plain,
% 3.86/4.09 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15900])).
% 3.86/4.09 tff(15902,plain,
% 3.86/4.09 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 3.86/4.09 inference(symmetry,[status(thm)],[15901])).
% 3.86/4.09 tff(15903,plain,
% 3.86/4.09 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 3.86/4.09 inference(transitivity,[status(thm)],[15902, 5274])).
% 3.86/4.09 tff(15904,plain,
% 3.86/4.09 (s(s(s(elem!1))) = s(elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1418, 15900])).
% 3.86/4.09 tff(15905,plain,
% 3.86/4.09 (s(elem!1) = s(s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[217, 15904])).
% 3.86/4.09 tff(15906,plain,
% 3.86/4.09 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3225, 15905])).
% 3.86/4.09 tff(15907,plain,
% 3.86/4.09 (s(s(s(s(elem!1)))) = elem!1),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[15906, 15903])).
% 3.86/4.09 tff(15908,plain,
% 3.86/4.09 (s(s(elem!1)) = elem!1),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2015, 15900])).
% 3.86/4.09 tff(15909,plain,
% 3.86/4.09 (r(s(z), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[13678, 15908, 12171])).
% 3.86/4.09 tff(15910,plain,
% 3.86/4.09 (~r(s(s(s(z))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3164, 15909, 234])).
% 3.86/4.09 tff(15911,plain,
% 3.86/4.09 (~b(s(s(s(z))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3284, 15909, 15246, 12178, 12180, 15685, 15900])).
% 3.86/4.09 tff(15912,plain,
% 3.86/4.09 (s(s(s(z))) = elem!1),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1110, 15911, 15910])).
% 3.86/4.09 tff(15913,plain,
% 3.86/4.09 (~(s(s(s(s(elem!1)))) = elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15395, 15912])).
% 3.86/4.09 tff(15914,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15913, 15907])).
% 3.86/4.09 tff(15915,plain,(b(s(z), s(s(elem!1))) | (~r(z, elem!1)) | b(s(s(elem!1)), s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15916,plain,
% 3.86/4.09 (b(s(z), s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15915, 234, 2605, 6387, 140])).
% 3.86/4.09 tff(15917,plain,
% 3.86/4.09 (~r(z, s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11531, 137, 15916, 234, 6387, 162, 15246, 2605])).
% 3.86/4.09 tff(15918,plain,
% 3.86/4.09 (b(z, s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[391, 15917])).
% 3.86/4.09 tff(15919,plain,
% 3.86/4.09 (s(z) = elem!1),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[8272, 4550, 234, 12176, 15916, 12168])).
% 3.86/4.09 tff(15920,plain,
% 3.86/4.09 (s(s(z)) = s(elem!1)),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15919])).
% 3.86/4.09 tff(15921,plain,
% 3.86/4.09 (s(s(s(z))) = s(s(elem!1))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15920])).
% 3.86/4.09 tff(15922,plain,
% 3.86/4.09 (b(z, s(s(s(z)))) <=> b(z, s(s(elem!1)))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15921])).
% 3.86/4.09 tff(15923,plain,
% 3.86/4.09 (b(z, s(s(elem!1))) <=> b(z, s(s(s(z))))),
% 3.86/4.09 inference(symmetry,[status(thm)],[15922])).
% 3.86/4.09 tff(15924,plain,
% 3.86/4.09 ((~b(z, s(s(elem!1)))) <=> (~b(z, s(s(s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15923])).
% 3.86/4.09 tff(15925,plain,
% 3.86/4.09 (~b(z, s(s(s(z))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[140, 15924])).
% 3.86/4.09 tff(15926,plain,
% 3.86/4.09 (~r(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11783, 398, 162, 234, 6387, 137, 15246, 15916, 2605])).
% 3.86/4.09 tff(15927,plain,
% 3.86/4.09 (b(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[149, 15926])).
% 3.86/4.09 tff(15928,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15927, 15925])).
% 3.86/4.09 tff(15929,plain,(b(z, s(z)) | b(z, s(s(elem!1))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15930,plain,
% 3.86/4.09 (b(z, s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15929, 137, 234, 6387, 140, 2605])).
% 3.86/4.09 tff(15931,plain,
% 3.86/4.09 (b(z, elem!1)),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[486, 2339])).
% 3.86/4.09 tff(15932,plain,
% 3.86/4.09 (~b(elem!1, s(s(s(elem!1))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[13992, 15931, 264, 11792, 263, 232, 165, 7060, 6387, 137])).
% 3.86/4.09 tff(15933,plain,
% 3.86/4.09 (r(elem!1, s(s(s(elem!1))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1946, 15932, 11625])).
% 3.86/4.09 tff(15934,plain,
% 3.86/4.09 (b(s(s(s(elem!1))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[13019, 15932, 6387, 165, 264, 11792, 225, 15931])).
% 3.86/4.09 tff(15935,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[6708, 15934, 15933, 165, 234, 6387, 10423, 11792, 294, 10422, 210])).
% 3.86/4.09 tff(15936,plain,((~(s(z) = elem!1)) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (elem!1 = s(s(elem!1))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15937,plain,
% 3.86/4.09 (~(s(z) = elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15936, 15930, 234, 6387, 10433, 137, 162, 15918])).
% 3.86/4.09 tff(15938,plain,
% 3.86/4.09 (~(elem!1 = s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[696, 15937])).
% 3.86/4.09 tff(15939,plain,
% 3.86/4.09 (~r(s(z), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[855, 15938, 12176, 15916, 12170, 12168, 234])).
% 3.86/4.09 tff(15940,plain,
% 3.86/4.09 (b(s(z), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[26, 15939])).
% 3.86/4.09 tff(15941,plain,
% 3.86/4.09 (~(s(s(s(s(z)))) = elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12155, 15917, 234])).
% 3.86/4.09 tff(15942,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11370, 15246, 15916, 234, 2605, 6387, 162])).
% 3.86/4.09 tff(15943,plain,
% 3.86/4.09 (~(s(z) = elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15936, 486, 234, 6387, 264, 137, 165, 555])).
% 3.86/4.09 tff(15944,plain,
% 3.86/4.09 (~(elem!1 = s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[696, 15943])).
% 3.86/4.09 tff(15945,plain,
% 3.86/4.09 (~r(s(z), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[855, 15944, 10423, 747, 10544, 10422, 234])).
% 3.86/4.09 tff(15946,plain,
% 3.86/4.09 (b(s(z), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[26, 15945])).
% 3.86/4.09 tff(15947,plain,
% 3.86/4.09 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3505, 15946, 175, 555, 486])).
% 3.86/4.09 tff(15948,plain,
% 3.86/4.09 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[106, 15947])).
% 3.86/4.09 tff(15949,assumption,(~r(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 3.86/4.09 tff(15950,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[119, 15949])).
% 3.86/4.09 tff(15951,plain,
% 3.86/4.09 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10578, 15950, 747, 234, 6387, 10422, 294, 165, 210, 264, 15943, 137])).
% 3.86/4.09 tff(15952,plain,
% 3.86/4.09 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11454, 15951])).
% 3.86/4.09 tff(15953,plain,
% 3.86/4.09 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[6869, 15950, 175, 555, 486])).
% 3.86/4.09 tff(15954,plain,
% 3.86/4.09 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[106, 15953])).
% 3.86/4.09 tff(15955,plain,
% 3.86/4.09 (~b(s(z), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10596, 338, 10423, 747, 486, 15950, 175])).
% 3.86/4.09 tff(15956,plain,
% 3.86/4.09 ((~r(s(s(s(s(z)))), elem!1)) <=> (~r(s(s(s(elem!1))), elem!1))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[1437])).
% 3.86/4.09 tff(15957,plain,
% 3.86/4.09 ((~r(s(s(s(s(z)))), s(z))) <=> (~r(s(s(s(s(z)))), elem!1))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[1435])).
% 3.86/4.09 tff(15958,plain,
% 3.86/4.09 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[15949, 15957])).
% 3.86/4.09 tff(15959,plain,
% 3.86/4.09 (~r(s(s(s(elem!1))), elem!1)),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[15958, 15956])).
% 3.86/4.09 tff(15960,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10629, 15959, 6526, 234, 6387, 165, 137, 264])).
% 3.86/4.09 tff(15961,plain,((~(s(z) = elem!1)) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | r(s(s(s(s(z)))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(15962,plain,
% 3.86/4.09 (~(s(z) = elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15961, 15949, 6387, 165, 137, 264, 234])).
% 3.86/4.09 tff(15963,plain,
% 3.86/4.09 (r(s(z), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[701, 15962, 15955])).
% 3.86/4.09 tff(15964,plain,
% 3.86/4.09 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2949, 15963, 15954])).
% 3.86/4.09 tff(15965,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(15966,plain,
% 3.86/4.09 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(15967,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15966])).
% 3.86/4.09 tff(15968,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.86/4.09 inference(transitivity,[status(thm)],[15967, 15965])).
% 3.86/4.09 tff(15969,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(15970,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 3.86/4.09 tff(15971,plain,
% 3.86/4.09 (~b(s(z), s(s(s(elem!1))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15970, 338, 6387, 747, 486, 15950, 175])).
% 3.86/4.09 tff(15972,plain,
% 3.86/4.09 (r(s(z), s(s(s(elem!1))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1870, 15971])).
% 3.86/4.09 tff(15973,plain,
% 3.86/4.09 (~r(s(s(s(elem!1))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1862, 15963, 15972])).
% 3.86/4.09 tff(15974,plain,
% 3.86/4.09 (s(s(s(elem!1))) = elem!1),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[10629, 15973, 234, 6387, 165, 137, 264])).
% 3.86/4.09 tff(15975,plain,
% 3.86/4.09 (s(s(s(s(elem!1)))) = s(elem!1)),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15974])).
% 3.86/4.09 tff(15976,plain,
% 3.86/4.09 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15975])).
% 3.86/4.09 tff(15977,plain,
% 3.86/4.09 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15976])).
% 3.86/4.09 tff(15978,plain,
% 3.86/4.09 (s(s(s(s(s(s(elem!1)))))) = elem!1),
% 3.86/4.09 inference(transitivity,[status(thm)],[15977, 15974])).
% 3.86/4.09 tff(15979,plain,
% 3.86/4.09 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15978])).
% 3.86/4.09 tff(15980,plain,
% 3.86/4.09 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 3.86/4.09 inference(transitivity,[status(thm)],[15979, 1058])).
% 3.86/4.09 tff(15981,plain,
% 3.86/4.09 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15980])).
% 3.86/4.09 tff(15982,plain,
% 3.86/4.09 (~(s(s(s(s(z)))) = elem!1)),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[3187, 15981])).
% 3.86/4.09 tff(15983,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1144, 15982, 15964])).
% 3.86/4.09 tff(15984,plain,
% 3.86/4.09 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15974])).
% 3.86/4.09 tff(15985,plain,
% 3.86/4.09 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 3.86/4.09 inference(transitivity,[status(thm)],[15984, 1051])).
% 3.86/4.09 tff(15986,plain,
% 3.86/4.09 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 3.86/4.09 inference(transitivity,[status(thm)],[15985, 1052])).
% 3.86/4.09 tff(15987,plain,
% 3.86/4.09 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15986])).
% 3.86/4.09 tff(15988,plain,
% 3.86/4.09 (~(elem!1 = s(s(s(z))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[14300, 15987])).
% 3.86/4.09 tff(15989,plain,
% 3.86/4.09 (b(elem!1, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1160, 15988, 1154])).
% 3.86/4.09 tff(15990,plain,
% 3.86/4.09 (~r(s(s(s(z))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3164, 15963, 234])).
% 3.86/4.09 tff(15991,plain,
% 3.86/4.09 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[15985])).
% 3.86/4.09 tff(15992,plain,
% 3.86/4.09 (~(s(s(s(z))) = elem!1)),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[14300, 15991])).
% 3.86/4.09 tff(15993,plain,
% 3.86/4.09 (b(s(s(s(z))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1110, 15992, 15990])).
% 3.86/4.09 tff(15994,plain,
% 3.86/4.09 (~(elem!1 = s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[696, 15962])).
% 3.86/4.09 tff(15995,plain,
% 3.86/4.09 (~r(s(z), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[855, 15994, 10423, 747, 10544, 10422, 234])).
% 3.86/4.09 tff(15996,plain,
% 3.86/4.09 (b(s(z), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[26, 15995])).
% 3.86/4.09 tff(15997,plain,
% 3.86/4.09 (~b(s(z), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3849, 15983, 15950, 15996, 486, 15993, 15989, 175])).
% 3.86/4.09 tff(15998,plain,
% 3.86/4.09 (r(s(z), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[424, 15997])).
% 3.86/4.09 tff(15999,plain,
% 3.86/4.09 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[4106, 15998, 15954])).
% 3.86/4.09 tff(16000,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1011, 15999])).
% 3.86/4.09 tff(16001,plain,
% 3.86/4.09 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11205, 15998, 15954])).
% 3.86/4.09 tff(16002,plain,
% 3.86/4.09 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[689, 16001])).
% 3.86/4.09 tff(16003,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2389, 16002, 16000, 15993, 15989, 15983])).
% 3.86/4.09 tff(16004,plain,(r(s(s(s(s(z)))), s(z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | r(elem!1, s(s(s(z)))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(16005,plain,
% 3.86/4.09 (r(elem!1, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[16004, 15949, 175, 486, 234, 6387, 165, 137, 264, 747, 555])).
% 3.86/4.09 tff(16006,plain,
% 3.86/4.09 (~r(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3328, 16005, 234])).
% 3.86/4.09 tff(16007,plain,
% 3.86/4.09 (b(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[149, 16006])).
% 3.86/4.09 tff(16008,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3282, 338, 486, 1740, 3348, 458, 2911, 175])).
% 3.86/4.09 tff(16009,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(16010,plain,
% 3.86/4.09 (~b(s(s(s(z))), s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[16009, 16007, 175, 486, 15950, 15946])).
% 3.86/4.09 tff(16011,plain,
% 3.86/4.09 (r(s(s(s(z))), s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[437, 16010])).
% 3.86/4.09 tff(16012,plain,
% 3.86/4.09 (~r(elem!1, s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3335, 16011, 16005])).
% 3.86/4.09 tff(16013,plain,
% 3.86/4.09 (b(elem!1, s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[819, 16012, 15944])).
% 3.86/4.09 tff(16014,plain,
% 3.86/4.09 (~b(s(z), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[839, 16013, 747, 10422, 10423])).
% 3.86/4.09 tff(16015,plain,
% 3.86/4.09 (r(s(z), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[701, 16014, 15943])).
% 3.86/4.09 tff(16016,plain,
% 3.86/4.09 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2949, 16015, 15948])).
% 3.86/4.09 tff(16017,plain,
% 3.86/4.09 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1144, 16016, 1039])).
% 3.86/4.09 tff(16018,plain,
% 3.86/4.09 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11385, 16017, 3484, 10422, 10423])).
% 3.86/4.09 tff(16019,plain,
% 3.86/4.09 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[368, 16018, 15952])).
% 3.86/4.09 tff(16020,plain,
% 3.86/4.09 (~r(s(s(elem!1)), s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[6732, 16019, 15948])).
% 3.86/4.09 tff(16021,plain,
% 3.86/4.09 (~r(s(z), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3345, 16015, 16005])).
% 3.86/4.09 tff(16022,plain,
% 3.86/4.09 (b(s(z), s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[424, 16021])).
% 3.86/4.09 tff(16023,plain,
% 3.86/4.09 (~b(s(s(s(z))), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3859, 16022, 486, 15946, 16007])).
% 3.86/4.09 tff(16024,plain,
% 3.86/4.09 (r(s(s(s(z))), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[135, 16023])).
% 3.86/4.09 tff(16025,plain,
% 3.86/4.09 (~r(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[11433, 16024, 165])).
% 3.86/4.09 tff(16026,plain,
% 3.86/4.09 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[3505, 1740, 175, 555, 486])).
% 3.86/4.09 tff(16027,plain,
% 3.86/4.09 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[106, 16026])).
% 3.86/4.09 tff(16028,plain,
% 3.86/4.09 (~b(s(s(elem!1)), s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[6963, 878, 747, 486, 1740])).
% 3.86/4.09 tff(16029,plain,
% 3.86/4.09 (r(s(s(elem!1)), s(z))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[784, 16028])).
% 3.86/4.09 tff(16030,plain,
% 3.86/4.09 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[15478, 878, 175, 3484, 555])).
% 3.86/4.09 tff(16031,plain,
% 3.86/4.09 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[368, 16030, 363])).
% 3.86/4.10 tff(16032,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6732, 16031, 16029, 16027])).
% 3.86/4.10 tff(16033,plain,((~b(s(s(elem!1)), z)) | (s(s(elem!1)) = s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16034,plain,
% 3.86/4.10 (~b(s(s(elem!1)), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16033, 15952, 175, 3484, 555, 747, 486, 15946])).
% 3.86/4.10 tff(16035,plain,
% 3.86/4.10 (r(s(s(elem!1)), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[800, 16034])).
% 3.86/4.10 tff(16036,plain,
% 3.86/4.10 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1237, 15943])).
% 3.86/4.10 tff(16037,plain,
% 3.86/4.10 (~b(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[10357, 16024, 747, 16036, 16022, 16035, 16025])).
% 3.86/4.10 tff(16038,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[784, 16037, 16020])).
% 3.86/4.10 tff(16039,plain,(r(s(s(s(s(z)))), s(z)) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (s(s(s(s(z)))) = elem!1) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16040,plain,
% 3.86/4.10 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16039, 15930, 162, 15916, 15942, 15941, 15246, 15918, 234, 6387, 10433, 137])).
% 3.86/4.10 tff(16041,plain,
% 3.86/4.10 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3505, 15940, 15246, 15918, 15930])).
% 3.86/4.10 tff(16042,plain,
% 3.86/4.10 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[106, 16041])).
% 3.86/4.10 tff(16043,plain,
% 3.86/4.10 (~b(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[10668, 16040, 137, 15941, 15930, 10433, 234, 6387, 162, 15937, 15940, 15916, 16042])).
% 3.86/4.10 tff(16044,plain,
% 3.86/4.10 (r(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[784, 16043])).
% 3.86/4.10 tff(16045,plain,
% 3.86/4.10 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6732, 16044, 16042])).
% 3.86/4.10 tff(16046,plain,
% 3.86/4.10 (b(elem!1, s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[819, 15448, 697])).
% 3.86/4.10 tff(16047,plain,
% 3.86/4.10 (b(s(z), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[701, 15450, 691])).
% 3.86/4.10 tff(16048,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[839, 16047, 16046, 747, 763, 762])).
% 3.86/4.10 tff(16049,plain,((~r(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(z) = elem!1) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16050,plain,
% 3.86/4.10 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16049, 12168, 15916, 12176, 15937, 16040])).
% 3.86/4.10 tff(16051,plain,
% 3.86/4.10 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1144, 16050, 15941])).
% 3.86/4.10 tff(16052,plain,
% 3.86/4.10 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[11385, 16051, 15942, 12168, 12176])).
% 3.86/4.10 tff(16053,plain,
% 3.86/4.10 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[368, 16052, 16045])).
% 3.86/4.10 tff(16054,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[10701, 16053, 2605])).
% 3.86/4.10 tff(16055,plain,
% 3.86/4.10 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1011, 16054])).
% 3.86/4.10 tff(16056,plain,
% 3.86/4.10 (~r(z, s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[189, 16053, 13854])).
% 3.86/4.10 tff(16057,plain,
% 3.86/4.10 (b(z, s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[149, 16056])).
% 3.86/4.10 tff(16058,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[11489, 16057, 16055, 15930, 16040, 15940])).
% 3.86/4.10 tff(16059,plain,((elem!1 = s(s(elem!1))) | b(s(s(elem!1)), s(elem!1)) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16060,plain,
% 3.86/4.10 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16059, 12166, 140, 137, 6324])).
% 3.86/4.10 tff(16061,plain,
% 3.86/4.10 (~r(s(s(s(elem!1))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2097, 16060, 140, 1318, 12160])).
% 3.86/4.10 tff(16062,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6459, 16061, 16060, 162, 754, 177, 714, 12163, 12160])).
% 3.86/4.10 tff(16063,plain,((~(s(s(s(z))) = elem!1)) | (~r(s(z), elem!1)) | b(z, elem!1) | (z = elem!1) | b(z, s(s(elem!1))) | b(s(z), elem!1) | (elem!1 = s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16064,plain,
% 3.86/4.10 (~(s(s(s(z))) = elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16063, 6967, 177, 754, 140, 1318, 137, 62, 12157])).
% 3.86/4.10 tff(16065,plain,
% 3.86/4.10 (b(s(s(s(z))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1110, 16064, 1104])).
% 3.86/4.10 tff(16066,plain,
% 3.86/4.10 (~(elem!1 = s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[5482, 16064])).
% 3.86/4.10 tff(16067,plain,
% 3.86/4.10 (b(elem!1, s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1160, 16066, 1154])).
% 3.86/4.10 tff(16068,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2389, 16067, 16065, 539, 987, 12157])).
% 3.86/4.10 tff(16069,plain,(b(s(z), elem!1) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | r(elem!1, s(s(s(z)))) | r(s(s(s(z))), elem!1) | b(z, elem!1) | (~r(s(z), elem!1)) | b(z, s(s(elem!1))) | (elem!1 = s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | r(s(s(s(s(z)))), elem!1) | r(z, s(s(s(s(z))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16070,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16069, 12149, 12147, 12137, 12128, 12127, 177, 754, 140, 137, 62, 12124, 11790, 12112])).
% 3.86/4.10 tff(16071,plain,(b(z, elem!1) | (~r(s(z), elem!1)) | b(z, s(s(elem!1))) | (elem!1 = s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16072,plain,
% 3.86/4.10 (b(z, elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16071, 12100, 140, 137, 62, 136, 128, 150])).
% 3.86/4.10 tff(16073,plain,
% 3.86/4.10 (~(elem!1 = s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1046, 16072, 138])).
% 3.86/4.10 tff(16074,plain,
% 3.86/4.10 (b(z, elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16071, 754, 140, 137, 62, 136, 175, 164])).
% 3.86/4.10 tff(16075,plain,
% 3.86/4.10 (r(s(z), elem!1) <=> r(elem!1, elem!1)),
% 3.86/4.10 inference(monotonicity,[status(thm)],[1235])).
% 3.86/4.10 tff(16076,plain,
% 3.86/4.10 (r(elem!1, elem!1) <=> r(s(z), elem!1)),
% 3.86/4.10 inference(symmetry,[status(thm)],[16075])).
% 3.86/4.10 tff(16077,plain,
% 3.86/4.10 ((~r(elem!1, elem!1)) <=> (~r(s(z), elem!1))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[16076])).
% 3.86/4.10 tff(16078,plain,
% 3.86/4.10 (^[X: $i] : refl((~r(X, X)) <=> (~r(X, X)))),
% 3.86/4.10 inference(bind,[status(th)],[])).
% 3.86/4.10 tff(16079,plain,
% 3.86/4.10 (![X: $i] : (~r(X, X)) <=> ![X: $i] : (~r(X, X))),
% 3.86/4.10 inference(quant_intro,[status(thm)],[16078])).
% 3.86/4.10 tff(16080,plain,
% 3.86/4.10 (![X: $i] : (~r(X, X)) <=> ![X: $i] : (~r(X, X))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(16081,axiom,(![X: $i] : (~r(X, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ri')).
% 3.86/4.10 tff(16082,plain,
% 3.86/4.10 (![X: $i] : (~r(X, X))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[16081, 16080])).
% 3.86/4.10 tff(16083,plain,(
% 3.86/4.10 ![X: $i] : (~r(X, X))),
% 3.86/4.10 inference(skolemize,[status(sab)],[16082])).
% 3.86/4.10 tff(16084,plain,
% 3.86/4.10 (![X: $i] : (~r(X, X))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[16083, 16079])).
% 3.86/4.10 tff(16085,plain,
% 3.86/4.10 ((~![X: $i] : (~r(X, X))) | (~r(elem!1, elem!1))),
% 3.86/4.10 inference(quant_inst,[status(thm)],[])).
% 3.86/4.10 tff(16086,plain,
% 3.86/4.10 (~r(elem!1, elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16085, 16084])).
% 3.86/4.10 tff(16087,plain,
% 3.86/4.10 (~r(s(z), elem!1)),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[16086, 16077])).
% 3.86/4.10 tff(16088,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[754, 16087])).
% 3.86/4.10 tff(16089,plain,((~(s(s(s(z))) = s(s(elem!1)))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16090,plain,
% 3.86/4.10 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16089, 754])).
% 3.86/4.10 tff(16091,plain,
% 3.86/4.10 (b(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6754, 16090, 12141])).
% 3.86/4.10 tff(16092,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[673, 7352, 164, 405, 175, 426])).
% 3.86/4.10 tff(16093,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6717, 371, 542, 405, 164])).
% 3.86/4.10 tff(16094,plain,
% 3.86/4.10 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[119, 16093])).
% 3.86/4.10 tff(16095,plain,
% 3.86/4.10 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[536, 16094, 164, 542, 544, 486])).
% 3.86/4.10 tff(16096,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[68, 16095, 16092])).
% 3.86/4.10 tff(16097,plain,((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16098,plain,
% 3.86/4.10 (~r(z, s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16097, 486, 164, 405, 175, 136])).
% 3.86/4.10 tff(16099,plain,
% 3.86/4.10 (b(z, s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[391, 16098])).
% 3.86/4.10 tff(16100,plain,
% 3.86/4.10 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2324, 16099, 140])).
% 3.86/4.10 tff(16101,plain,
% 3.86/4.10 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[368, 16100, 62])).
% 3.86/4.10 tff(16102,plain,
% 3.86/4.10 (~r(z, s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16097, 486, 164, 405, 175, 426])).
% 3.86/4.10 tff(16103,plain,
% 3.86/4.10 (b(z, s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[391, 16102])).
% 3.86/4.10 tff(16104,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6869, 651, 175, 486, 16103])).
% 3.86/4.10 tff(16105,plain,
% 3.86/4.10 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[119, 16104])).
% 3.86/4.10 tff(16106,plain,
% 3.86/4.10 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[536, 16105, 164, 542, 544, 486])).
% 3.86/4.10 tff(16107,plain,
% 3.86/4.10 (b(s(s(s(s(z)))), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[68, 16106])).
% 3.86/4.10 tff(16108,plain,
% 3.86/4.10 (~b(s(s(z)), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[970, 16107, 486, 426, 544, 16103, 651, 405, 16105, 175])).
% 3.86/4.10 tff(16109,plain,
% 3.86/4.10 (~r(s(s(z)), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[572, 16107, 175, 16103, 164])).
% 3.86/4.10 tff(16110,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[534, 16109, 16108])).
% 3.86/4.10 tff(16111,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16112,plain,
% 3.86/4.10 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16111, 486, 164, 175, 136, 405])).
% 3.86/4.10 tff(16113,plain,
% 3.86/4.10 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[106, 16112])).
% 3.86/4.10 tff(16114,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6859, 16113, 162, 164, 175, 137, 405, 129, 16101, 1021])).
% 3.86/4.10 tff(16115,plain,
% 3.86/4.10 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[119, 16114])).
% 3.86/4.10 tff(16116,plain,
% 3.86/4.10 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[536, 16115, 164, 6724, 544, 486])).
% 3.86/4.10 tff(16117,plain,
% 3.86/4.10 (b(s(s(s(s(z)))), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[68, 16116])).
% 3.86/4.10 tff(16118,plain,
% 3.86/4.10 (~r(s(s(z)), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[572, 16117, 175, 16099, 164])).
% 3.86/4.10 tff(16119,plain,
% 3.86/4.10 (b(s(s(z)), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[534, 16118])).
% 3.86/4.10 tff(16120,plain,
% 3.86/4.10 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[593, 16119, 6724, 544, 16113])).
% 3.86/4.10 tff(16121,plain,
% 3.86/4.10 (b(s(s(z)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[598, 16120, 61])).
% 3.86/4.10 tff(16122,plain,
% 3.86/4.10 (~b(z, s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[982, 16121, 175, 16117, 16099])).
% 3.86/4.10 tff(16123,plain,
% 3.86/4.10 (~r(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6732, 16113, 16101])).
% 3.86/4.10 tff(16124,plain,
% 3.86/4.10 (b(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[784, 16123])).
% 3.86/4.10 tff(16125,plain,
% 3.86/4.10 (~b(s(z), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6790, 16119, 6724, 3254, 544, 16124])).
% 3.86/4.10 tff(16126,plain,
% 3.86/4.10 (r(s(z), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[455, 16125])).
% 3.86/4.10 tff(16127,plain,
% 3.86/4.10 (~r(z, s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[619, 16126, 405])).
% 3.86/4.10 tff(16128,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[563, 16127, 16122])).
% 3.86/4.10 tff(16129,plain,((~b(z, s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z) | (~b(z, elem!1)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16130,plain,
% 3.86/4.10 (~b(z, s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16129, 405, 175, 16091, 164, 137, 129, 16074, 62, 140])).
% 3.86/4.10 tff(16131,plain,
% 3.86/4.10 (r(z, s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[403, 16130])).
% 3.86/4.10 tff(16132,plain,
% 3.86/4.10 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1207, 16090])).
% 3.86/4.10 tff(16133,plain,
% 3.86/4.10 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6876, 6724, 16091, 544, 1196])).
% 3.86/4.10 tff(16134,plain,
% 3.86/4.10 (r(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6881, 16133, 16132])).
% 3.86/4.10 tff(16135,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6717, 371, 458, 405, 164])).
% 3.86/4.10 tff(16136,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[119, 5911, 16135])).
% 3.86/4.10 tff(16137,plain,((~r(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16138,plain,
% 3.86/4.10 (~r(z, s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16137, 6724, 405, 16131, 164])).
% 3.86/4.10 tff(16139,plain,
% 3.86/4.10 (b(z, s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[391, 16138])).
% 3.86/4.10 tff(16140,plain,
% 3.86/4.10 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2324, 16139, 140])).
% 3.86/4.10 tff(16141,plain,
% 3.86/4.10 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[368, 16140, 62])).
% 3.86/4.10 tff(16142,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6936, 82, 911, 370, 6890])).
% 3.86/4.10 tff(16143,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16144,plain,
% 3.86/4.10 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16143, 16141, 16134])).
% 3.86/4.10 tff(16145,plain,
% 3.86/4.10 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[689, 16144])).
% 3.86/4.10 tff(16146,plain,
% 3.86/4.10 (~(elem!1 = s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2336, 16139, 140])).
% 3.86/4.10 tff(16147,plain,
% 3.86/4.10 (b(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6754, 12103, 12141])).
% 3.86/4.10 tff(16148,plain,
% 3.86/4.10 (~b(z, s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16129, 405, 175, 16147, 164, 137, 129, 16074, 62, 140])).
% 3.86/4.10 tff(16149,plain,
% 3.86/4.10 (r(z, s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[403, 16148])).
% 3.86/4.10 tff(16150,plain,
% 3.86/4.10 (~r(z, s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16137, 16149, 6724, 405, 164])).
% 3.86/4.10 tff(16151,plain,
% 3.86/4.10 (b(z, s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[391, 16150])).
% 3.86/4.10 tff(16152,plain,
% 3.86/4.10 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2324, 16151, 140])).
% 3.86/4.10 tff(16153,plain,
% 3.86/4.10 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[368, 16152, 62])).
% 3.86/4.10 tff(16154,plain,
% 3.86/4.10 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6876, 16147, 6724, 544, 1196])).
% 3.86/4.10 tff(16155,plain,
% 3.86/4.10 (r(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6881, 16154, 12107])).
% 3.86/4.10 tff(16156,plain,
% 3.86/4.10 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16143, 16153, 16155])).
% 3.86/4.10 tff(16157,plain,
% 3.86/4.10 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[689, 16156])).
% 3.86/4.10 tff(16158,plain,
% 3.86/4.10 (~r(s(z), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6859, 2911, 165, 164, 175, 137, 405, 129, 370, 1021])).
% 3.86/4.10 tff(16159,plain,
% 3.86/4.10 (b(s(z), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[106, 16158])).
% 3.86/4.10 tff(16160,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12526, 338, 544, 6724, 16159, 2911, 539])).
% 3.86/4.10 tff(16161,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | b(s(s(s(z))), z) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16162,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16161, 16157, 162, 164, 175, 137, 405, 129, 16153, 16074])).
% 3.86/4.10 tff(16163,plain,
% 3.86/4.10 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[119, 16162])).
% 3.86/4.10 tff(16164,plain,
% 3.86/4.10 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3417, 754, 108])).
% 3.86/4.10 tff(16165,plain,
% 3.86/4.10 (b(s(s(s(s(z)))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1144, 16164, 3188])).
% 3.86/4.10 tff(16166,plain,
% 3.86/4.10 (~r(s(s(s(elem!1))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[11137, 3043, 405])).
% 3.86/4.10 tff(16167,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1387, 16166])).
% 3.86/4.10 tff(16168,plain,
% 3.86/4.10 (b(elem!1, z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3979, 16167, 3380])).
% 3.86/4.10 tff(16169,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1137, 338, 1021, 16168, 16165, 175, 555])).
% 3.86/4.10 tff(16170,plain,((~r(s(z), elem!1)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16171,plain,
% 3.86/4.10 (~(s(s(s(elem!1))) = elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16170, 16163, 754, 405, 16151, 16074, 175])).
% 3.86/4.10 tff(16172,plain,
% 3.86/4.10 (~r(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2354, 16163, 16153])).
% 3.86/4.10 tff(16173,plain,
% 3.86/4.10 (b(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[784, 16172])).
% 3.86/4.10 tff(16174,plain,
% 3.86/4.10 (~r(s(s(s(elem!1))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[10565, 6387, 754, 764, 747])).
% 3.86/4.10 tff(16175,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2162, 16174, 1271])).
% 3.86/4.10 tff(16176,plain,
% 3.86/4.10 (b(elem!1, z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[846, 12101, 1037])).
% 3.86/4.10 tff(16177,plain,
% 3.86/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(16178,plain,
% 3.86/4.10 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(16179,plain,
% 3.86/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[16178])).
% 3.86/4.10 tff(16180,plain,
% 3.86/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.10 inference(transitivity,[status(thm)],[16179, 16177])).
% 3.86/4.10 tff(16181,plain,
% 3.86/4.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.10 inference(quant_inst,[status(thm)],[])).
% 3.86/4.10 tff(16182,plain,
% 3.86/4.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[16181, 16180])).
% 3.86/4.10 tff(16183,plain,
% 3.86/4.10 (~b(s(z), s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16182, 338, 6387, 747, 458, 764, 3254])).
% 3.86/4.10 tff(16184,plain,
% 3.86/4.10 (r(s(z), s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1870, 16183])).
% 3.86/4.10 tff(16185,plain,
% 3.86/4.10 (~r(z, s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[5440, 16184, 405])).
% 3.86/4.10 tff(16186,plain,
% 3.86/4.10 (b(z, s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1373, 16185])).
% 3.86/4.10 tff(16187,plain,
% 3.86/4.10 (~r(s(s(s(elem!1))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[11137, 16184, 405])).
% 3.86/4.10 tff(16188,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1387, 16187])).
% 3.86/4.10 tff(16189,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3027, 16188, 16186, 1021, 16176, 16175])).
% 3.86/4.10 tff(16190,plain,((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, elem!1)) | (~r(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16191,plain,
% 3.86/4.10 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16190, 405, 16074, 1196, 6724, 16173, 16147, 16171, 754])).
% 3.86/4.10 tff(16192,plain,
% 3.86/4.10 (~r(s(s(s(elem!1))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2097, 16191, 140, 1318, 16171])).
% 3.86/4.10 tff(16193,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2162, 16192, 16171])).
% 3.86/4.10 tff(16194,plain,
% 3.86/4.10 (~(elem!1 = z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1036, 16074])).
% 3.86/4.10 tff(16195,plain,
% 3.86/4.10 (b(elem!1, z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[846, 12101, 16194])).
% 3.86/4.10 tff(16196,plain,
% 3.86/4.10 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1292, 16191, 2180])).
% 3.86/4.10 tff(16197,plain,
% 3.86/4.10 (~r(z, s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1361, 16196, 162])).
% 3.86/4.10 tff(16198,plain,
% 3.86/4.10 (b(z, s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1373, 16197])).
% 3.86/4.10 tff(16199,plain,
% 3.86/4.10 (~r(s(s(s(elem!1))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1309, 16196, 162])).
% 3.86/4.10 tff(16200,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1387, 16199])).
% 3.86/4.10 tff(16201,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3027, 16200, 16198, 16074, 16195, 16193])).
% 3.86/4.10 tff(16202,plain,((~r(s(z), z)) | b(z, s(s(elem!1))) | b(s(z), elem!1) | (~r(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16203,plain,
% 3.86/4.10 (b(s(z), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16202, 405, 140, 754, 175, 164, 137, 129, 62])).
% 3.86/4.10 tff(16204,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[673, 16145, 164, 405, 175, 136])).
% 3.86/4.10 tff(16205,plain,
% 3.86/4.10 (r(s(s(s(s(z)))), s(s(z)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[68, 16204])).
% 3.86/4.10 tff(16206,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16161, 16145, 162, 164, 175, 137, 405, 129, 16141, 16074])).
% 3.86/4.10 tff(16207,plain,
% 3.86/4.10 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[119, 16206])).
% 3.86/4.10 tff(16208,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2461, 16207, 16205, 137, 16074, 1196, 162, 175, 16203, 16146, 16141, 544, 6724, 136, 1050, 164, 16145, 16131])).
% 3.86/4.10 tff(16209,plain,((~r(s(z), z)) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(s(z)))) | (~r(z, s(s(s(z))))) | b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16210,plain,
% 3.86/4.10 (~r(s(z), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16209, 16073, 128, 137, 150, 129, 62, 140, 12100])).
% 3.86/4.10 tff(16211,plain,
% 3.86/4.10 (b(s(z), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[26, 16210])).
% 3.86/4.10 tff(16212,plain,
% 3.86/4.10 (b(z, elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16071, 754, 140, 137, 62, 136, 128, 164])).
% 3.86/4.10 tff(16213,plain,
% 3.86/4.10 (~(elem!1 = z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1036, 16212])).
% 3.86/4.10 tff(16214,plain,
% 3.86/4.10 (~r(z, s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2890, 427, 164])).
% 3.86/4.10 tff(16215,plain,
% 3.86/4.10 (b(z, s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[403, 16214])).
% 3.86/4.10 tff(16216,plain,
% 3.86/4.10 (b(z, elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16071, 754, 140, 137, 62, 426, 128, 164])).
% 3.86/4.10 tff(16217,plain,
% 3.86/4.10 (~(elem!1 = z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1036, 16216])).
% 3.86/4.10 tff(16218,plain,
% 3.86/4.10 (~(z = elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2752, 16217])).
% 3.86/4.10 tff(16219,plain,
% 3.86/4.10 (~(s(elem!1) = s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1912, 16218])).
% 3.86/4.10 tff(16220,plain,
% 3.86/4.10 (~(s(z) = s(elem!1))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1919, 16219])).
% 3.86/4.10 tff(16221,plain,
% 3.86/4.10 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3505, 555, 128, 1740, 16215])).
% 3.86/4.10 tff(16222,plain,
% 3.86/4.10 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[106, 16221])).
% 3.86/4.10 tff(16223,plain,
% 3.86/4.10 (~r(s(s(s(s(z)))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2949, 16222, 754])).
% 3.86/4.10 tff(16224,plain,
% 3.86/4.10 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[7735, 16215, 128, 1740, 427])).
% 3.86/4.10 tff(16225,plain,
% 3.86/4.10 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[689, 16224])).
% 3.86/4.10 tff(16226,plain,
% 3.86/4.10 (b(s(s(s(z))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1110, 12501, 1057])).
% 3.86/4.10 tff(16227,plain,
% 3.86/4.10 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[4106, 16222, 406])).
% 3.86/4.10 tff(16228,plain,
% 3.86/4.10 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1011, 16227])).
% 3.86/4.10 tff(16229,plain,
% 3.86/4.10 (~b(s(s(s(s(z)))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2389, 16228, 16226, 16225, 3432])).
% 3.86/4.10 tff(16230,plain,
% 3.86/4.10 (s(s(s(s(z)))) = elem!1),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1144, 16229, 16223])).
% 3.86/4.10 tff(16231,plain,
% 3.86/4.10 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), elem!1)),
% 3.86/4.10 inference(monotonicity,[status(thm)],[16230])).
% 3.86/4.10 tff(16232,plain,
% 3.86/4.10 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2324, 555, 140])).
% 3.86/4.10 tff(16233,plain,
% 3.86/4.10 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[368, 16232, 62])).
% 3.86/4.10 tff(16234,plain,
% 3.86/4.10 (r(s(s(elem!1)), elem!1)),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[16233, 16231])).
% 3.86/4.10 tff(16235,plain,
% 3.86/4.10 (b(s(s(s(s(z)))), z) <=> b(elem!1, z)),
% 3.86/4.10 inference(monotonicity,[status(thm)],[16230])).
% 3.86/4.10 tff(16236,plain,
% 3.86/4.10 (b(elem!1, z)),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[128, 16235])).
% 3.86/4.10 tff(16237,plain,
% 3.86/4.10 (s(s(elem!1)) = s(s(s(z)))),
% 3.86/4.10 inference(transitivity,[status(thm)],[205, 5417, 44])).
% 3.86/4.10 tff(16238,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(elem!1, s(s(s(z))))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[4013, 16237])).
% 3.86/4.10 tff(16239,plain,
% 3.86/4.10 (b(elem!1, s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.86/4.10 inference(symmetry,[status(thm)],[16238])).
% 3.86/4.10 tff(16240,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[2401, 16239])).
% 3.86/4.10 tff(16241,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1270, 16240])).
% 3.86/4.10 tff(16242,plain,((~(s(s(s(s(z)))) = elem!1)) | b(s(s(s(elem!1))), s(s(elem!1))) | (~(elem!1 = s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16243,plain,
% 3.86/4.10 (~(elem!1 = s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16242, 1270, 987, 1013])).
% 3.86/4.10 tff(16244,plain,
% 3.86/4.10 (~(s(s(s(elem!1))) = elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3379, 16243])).
% 3.86/4.10 tff(16245,plain,
% 3.86/4.10 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1292, 1270, 1327])).
% 3.86/4.10 tff(16246,plain,
% 3.86/4.10 (~r(s(s(s(elem!1))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1299, 16245, 254])).
% 3.86/4.10 tff(16247,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2162, 16246, 16244])).
% 3.86/4.10 tff(16248,plain,
% 3.86/4.10 (~r(z, s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1361, 16245, 165])).
% 3.86/4.10 tff(16249,plain,
% 3.86/4.10 (b(z, s(s(s(elem!1))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1373, 16248])).
% 3.86/4.10 tff(16250,plain,
% 3.86/4.10 (~r(s(s(s(elem!1))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1309, 16245, 165])).
% 3.86/4.10 tff(16251,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1387, 16250])).
% 3.86/4.10 tff(16252,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3027, 16251, 16249, 1021, 1131, 16247])).
% 3.86/4.10 tff(16253,plain,(b(s(s(s(elem!1))), s(s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~(s(s(s(s(z)))) = elem!1)) | (s(s(s(elem!1))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(16254,plain,
% 3.86/4.10 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[16253, 16236, 16216, 16234, 162, 16228, 16230, 2180])).
% 3.86/4.10 tff(16255,plain,
% 3.86/4.10 (~r(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6732, 16222, 16233])).
% 3.86/4.10 tff(16256,plain,
% 3.86/4.10 (b(s(s(elem!1)), s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[784, 16255])).
% 3.86/4.10 tff(16257,plain,
% 3.86/4.10 (~r(s(z), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[7267, 82, 16234, 754])).
% 3.86/4.10 tff(16258,plain,
% 3.86/4.10 (b(s(z), s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[743, 16257])).
% 3.86/4.10 tff(16259,plain,
% 3.86/4.10 (~b(s(s(elem!1)), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[6963, 16258, 1740, 16215, 16256])).
% 3.86/4.10 tff(16260,plain,
% 3.86/4.10 (r(s(s(elem!1)), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[800, 16259])).
% 3.86/4.10 tff(16261,plain,
% 3.86/4.10 (~r(s(elem!1), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[5958, 264, 787])).
% 3.86/4.10 tff(16262,plain,
% 3.86/4.10 (b(s(elem!1), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1812, 16261])).
% 3.86/4.10 tff(16263,plain,
% 3.86/4.10 (~b(elem!1, s(elem!1))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[7200, 6584, 1131, 1021, 16262])).
% 3.86/4.10 tff(16264,plain,
% 3.86/4.10 (r(elem!1, s(elem!1))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[252, 16263, 246])).
% 3.86/4.10 tff(16265,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[7115, 82, 16264, 254, 264])).
% 3.86/4.10 tff(16266,plain,((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (elem!1 = s(elem!1)) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16267,plain,
% 3.86/4.11 (~r(s(s(elem!1)), s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16266, 16260, 162, 16236, 16234, 16216, 232])).
% 3.86/4.11 tff(16268,plain,
% 3.86/4.11 (b(s(s(elem!1)), s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[277, 16267, 225])).
% 3.86/4.11 tff(16269,plain,
% 3.86/4.11 (~r(s(s(s(elem!1))), elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[10565, 16254, 754, 16256, 16258])).
% 3.86/4.11 tff(16270,plain,
% 3.86/4.11 (r(s(s(s(s(z)))), z) <=> r(elem!1, z)),
% 3.86/4.11 inference(monotonicity,[status(thm)],[16230])).
% 3.86/4.11 tff(16271,plain,
% 3.86/4.11 ((~r(s(s(s(s(z)))), z)) <=> (~r(elem!1, z))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[16270])).
% 3.86/4.11 tff(16272,plain,
% 3.86/4.11 (~r(elem!1, z)),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[121, 16271])).
% 3.86/4.11 tff(16273,plain,
% 3.86/4.11 (~b(s(s(s(elem!1))), z)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3027, 2631, 1021, 1131, 1595])).
% 3.86/4.11 tff(16274,plain,
% 3.86/4.11 (r(s(s(s(elem!1))), z)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1387, 16273])).
% 3.86/4.11 tff(16275,plain,
% 3.86/4.11 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[8996, 16274, 787])).
% 3.86/4.11 tff(16276,plain,
% 3.86/4.11 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[2619, 16275, 7060])).
% 3.86/4.11 tff(16277,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16278,plain,
% 3.86/4.11 (((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16279,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[16278])).
% 3.86/4.11 tff(16280,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)))),
% 3.86/4.11 inference(transitivity,[status(thm)],[16279, 16277])).
% 3.86/4.11 tff(16281,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(16282,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[16281, 16280])).
% 3.86/4.11 tff(16283,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16282, 338, 1021, 1131, 1595, 1929, 2636])).
% 3.86/4.11 tff(16284,plain,((~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16285,plain,
% 3.86/4.11 (~b(elem!1, s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16284, 2631, 1021, 1131, 1595])).
% 3.86/4.11 tff(16286,plain,
% 3.86/4.11 (r(elem!1, s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1946, 16285, 1925])).
% 3.86/4.11 tff(16287,plain,
% 3.86/4.11 (~r(elem!1, s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[10142, 16276, 1021, 6387, 2631, 137, 16286, 16274])).
% 3.86/4.11 tff(16288,plain,
% 3.86/4.11 (b(elem!1, s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[252, 16287, 232])).
% 3.86/4.11 tff(16289,plain,
% 3.86/4.11 (~b(z, s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12839, 16288, 6853, 165, 1021, 1131, 210, 16286, 232, 16276])).
% 3.86/4.11 tff(16290,plain,
% 3.86/4.11 (r(z, s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1615, 16289])).
% 3.86/4.11 tff(16291,plain,
% 3.86/4.11 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[8904, 16290, 16274])).
% 3.86/4.11 tff(16292,plain,
% 3.86/4.11 (b(s(s(s(elem!1))), s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1971, 16291, 218])).
% 3.86/4.11 tff(16293,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16294,plain,
% 3.86/4.11 (((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16295,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1)))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[16294])).
% 3.86/4.11 tff(16296,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[16295, 16293])).
% 3.86/4.11 tff(16297,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(16298,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1)))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[16297, 16296])).
% 3.86/4.11 tff(16299,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16298, 338, 1021, 1131, 1595, 2636, 1597, 315])).
% 3.86/4.11 tff(16300,plain,((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16301,plain,
% 3.86/4.11 (~b(z, s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16300, 315, 1131, 1595, 2636, 1021])).
% 3.86/4.11 tff(16302,plain,
% 3.86/4.11 (r(z, s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1615, 16301])).
% 3.86/4.11 tff(16303,plain,
% 3.86/4.11 (~r(s(s(elem!1)), s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[9003, 16302, 787])).
% 3.86/4.11 tff(16304,plain,
% 3.86/4.11 (b(s(s(elem!1)), s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[277, 16303, 229])).
% 3.86/4.11 tff(16305,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16306,plain,
% 3.86/4.11 (((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16307,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[16306])).
% 3.86/4.11 tff(16308,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[16307, 16305])).
% 3.86/4.11 tff(16309,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(16310,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[16309, 16308])).
% 3.86/4.11 tff(16311,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16310, 338, 1021, 1595, 2636, 762, 16304, 315])).
% 3.86/4.11 tff(16312,plain,((~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (~r(s(s(elem!1)), z)) | (~b(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16313,plain,
% 3.86/4.11 (~b(elem!1, s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16312, 16288, 1021, 1595, 787, 225, 2631, 1131])).
% 3.86/4.11 tff(16314,plain,
% 3.86/4.11 (r(elem!1, s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[321, 16313, 137])).
% 3.86/4.11 tff(16315,plain,
% 3.86/4.11 (~b(s(elem!1), elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[9101, 16288, 1131, 210, 6387, 316, 16276, 16274, 1021])).
% 3.86/4.11 tff(16316,plain,
% 3.86/4.11 (r(s(elem!1), elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[312, 16315, 294])).
% 3.86/4.11 tff(16317,plain,
% 3.86/4.11 (~r(s(elem!1), s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3077, 16316, 16314])).
% 3.86/4.11 tff(16318,plain,
% 3.86/4.11 (b(s(elem!1), s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3081, 16317, 6853])).
% 3.86/4.11 tff(16319,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[8111, 16318, 16292, 316, 6387, 16276])).
% 3.86/4.11 tff(16320,plain,((s(s(s(elem!1))) = elem!1) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16321,plain,
% 3.86/4.11 (s(s(s(elem!1))) = elem!1),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16320, 1595, 6387, 137, 1131, 1021, 316, 787, 165, 2582])).
% 3.86/4.11 tff(16322,plain,
% 3.86/4.11 (elem!1 = s(s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3379, 16321])).
% 3.86/4.11 tff(16323,plain,
% 3.86/4.11 (~b(s(s(s(elem!1))), z)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12654, 16322, 175, 754, 72, 1595])).
% 3.86/4.11 tff(16324,plain,
% 3.86/4.11 (~r(s(s(s(elem!1))), z)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3385, 16322, 864])).
% 3.86/4.11 tff(16325,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1387, 16324, 16323])).
% 3.86/4.11 tff(16326,plain,((~b(z, s(s(s(elem!1))))) | r(elem!1, z) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16327,plain,
% 3.86/4.11 (~b(z, s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16326, 16272, 128, 754, 16222, 16254, 137, 16236, 16216, 16268, 16260, 162, 16269])).
% 3.86/4.11 tff(16328,plain,
% 3.86/4.11 (r(z, s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1373, 16327])).
% 3.86/4.11 tff(16329,plain,
% 3.86/4.11 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[7217, 16328, 16260])).
% 3.86/4.11 tff(16330,plain,
% 3.86/4.11 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[2619, 16329, 7060])).
% 3.86/4.11 tff(16331,plain,
% 3.86/4.11 (~r(z, s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[7177, 16330, 16328, 210, 16268, 16254])).
% 3.86/4.11 tff(16332,plain,
% 3.86/4.11 (b(z, s(elem!1))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1615, 16331])).
% 3.86/4.11 tff(16333,plain,
% 3.86/4.11 (~(s(z) = elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[10349, 16225, 62])).
% 3.86/4.11 tff(16334,plain,
% 3.86/4.11 (~(elem!1 = s(z))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[696, 16333])).
% 3.86/4.11 tff(16335,assumption,(r(s(s(s(elem!1))), s(s(s(z))))), introduced(assumption)).
% 3.86/4.11 tff(16336,plain,
% 3.86/4.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(elem!1))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16337,plain,
% 3.86/4.11 (((~r(s(s(s(elem!1))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(elem!1)))))) <=> ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16338,plain,
% 3.86/4.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(elem!1))), s(s(s(z)))))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[16337])).
% 3.86/4.11 tff(16339,plain,
% 3.86/4.11 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[16338, 16336])).
% 3.86/4.11 tff(16340,plain,
% 3.86/4.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(elem!1))))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(16341,plain,
% 3.86/4.11 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(elem!1))), s(s(s(z)))))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[16340, 16339])).
% 3.86/4.11 tff(16342,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16341, 82, 1353, 164, 16335])).
% 3.86/4.11 tff(16343,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16344,plain,
% 3.86/4.11 (~r(s(s(s(elem!1))), s(s(s(z))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16343, 7031, 164])).
% 3.86/4.11 tff(16345,plain,
% 3.86/4.11 (~(s(s(s(elem!1))) = elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[2647, 2138, 1021])).
% 3.86/4.11 tff(16346,plain,
% 3.86/4.11 (b(s(s(s(elem!1))), elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[2162, 16345, 2582])).
% 3.86/4.11 tff(16347,plain,
% 3.86/4.11 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[8491, 7031, 164])).
% 3.86/4.11 tff(16348,plain,
% 3.86/4.11 (b(s(s(s(z))), s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3784, 16347, 12494])).
% 3.86/4.11 tff(16349,plain,
% 3.86/4.11 (b(elem!1, s(s(s(z))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1158, 21, 5014, 1050])).
% 3.86/4.11 tff(16350,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16351,plain,
% 3.86/4.11 (((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16352,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z)))))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[16351])).
% 3.86/4.11 tff(16353,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[16352, 16350])).
% 3.86/4.11 tff(16354,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(elem!1))), elem!1)))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(16355,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z)))))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[16354, 16353])).
% 3.86/4.11 tff(16356,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16355, 338, 2636, 16349, 5013, 4011, 4012])).
% 3.86/4.11 tff(16357,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (elem!1 = s(s(s(z)))) | (s(s(s(z))) = elem!1) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16358,plain,
% 3.86/4.11 (~b(s(s(s(elem!1))), s(s(s(z))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16357, 16348, 1057, 803, 16346, 427, 1050])).
% 3.86/4.11 tff(16359,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3792, 21, 12493, 16358, 16344])).
% 3.86/4.11 tff(16360,plain,(b(z, s(s(s(elem!1)))) | (~r(elem!1, s(z))) | (~r(s(s(s(z))), s(z))) | (elem!1 = s(s(s(z)))) | r(s(s(s(elem!1))), elem!1) | (~r(z, s(s(s(z))))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(16361,plain,
% 3.86/4.11 (~r(elem!1, s(z))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16360, 16327, 427, 1050, 16269, 164, 16216])).
% 3.86/4.11 tff(16362,plain,
% 3.86/4.11 (b(elem!1, s(z))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[819, 16361, 16334])).
% 3.86/4.11 tff(16363,plain,
% 3.86/4.11 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3121, 16219])).
% 3.86/4.11 tff(16364,plain,
% 3.86/4.11 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3303, 16363])).
% 3.86/4.11 tff(16365,plain,
% 3.86/4.11 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[8491, 16328, 164])).
% 3.86/4.11 tff(16366,plain,
% 3.86/4.11 (b(s(s(s(z))), s(s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[3784, 16365, 16364])).
% 3.86/4.11 tff(16367,plain,
% 3.86/4.11 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1237, 16333])).
% 3.86/4.11 tff(16368,plain,
% 3.86/4.11 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1207, 16367])).
% 3.86/4.11 tff(16369,plain,
% 3.86/4.11 (~r(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1202, 82, 16260, 426])).
% 3.86/4.11 tff(16370,plain,
% 3.86/4.11 (b(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[6881, 16369, 16368])).
% 3.86/4.11 tff(16371,plain,
% 3.86/4.11 (b(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[6754, 16367, 12141])).
% 3.86/4.11 tff(16372,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16373,plain,
% 3.86/4.11 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(16374,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1)))))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[16373])).
% 3.86/4.11 tff(16375,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[16374, 16372])).
% 3.86/4.11 tff(16376,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(16377,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1)))))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[16376, 16375])).
% 3.86/4.11 tff(16378,plain,
% 3.86/4.11 ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1)))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16377, 338, 16254, 3432, 16371, 16370])).
% 3.86/4.11 tff(16379,plain,
% 3.86/4.11 (~b(elem!1, s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[16378, 16366])).
% 3.86/4.11 tff(16380,plain,
% 3.86/4.11 (r(elem!1, s(s(elem!1)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[321, 16379, 137])).
% 3.86/4.11 tff(16381,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16382,plain,
% 3.86/4.12 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1)))) <=> ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16383,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[16382])).
% 3.86/4.12 tff(16384,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.12 inference(transitivity,[status(thm)],[16383, 16381])).
% 3.86/4.12 tff(16385,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(16386,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 3.86/4.12 tff(16387,plain,
% 3.86/4.12 ($false),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16386, 338, 6387, 1564, 316, 6386, 747, 5431])).
% 3.86/4.12 tff(16388,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.12 tff(16389,plain,
% 3.86/4.12 (~b(s(s(s(elem!1))), s(z))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16388, 1564, 6387, 6386, 316, 747])).
% 3.86/4.12 tff(16390,plain,
% 3.86/4.12 (r(s(s(s(elem!1))), s(z))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[1990, 16389])).
% 3.86/4.12 tff(16391,assumption,(~b(s(s(s(s(elem!1)))), s(z))), introduced(assumption)).
% 3.86/4.12 tff(16392,plain,
% 3.86/4.12 (r(s(s(s(s(elem!1)))), s(z))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[1585, 16391])).
% 3.86/4.12 tff(16393,plain,
% 3.86/4.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16394,plain,
% 3.86/4.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(16395,plain,
% 3.86/4.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(z))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[16394, 16393])).
% 3.86/4.12 tff(16396,plain,
% 3.86/4.12 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16395, 82, 16392, 2588])).
% 3.86/4.12 tff(16397,plain,
% 3.86/4.12 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[1562, 16396, 1475])).
% 3.86/4.12 tff(16398,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16399,plain,
% 3.86/4.12 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))) <=> ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16400,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[16399])).
% 3.86/4.12 tff(16401,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.86/4.12 inference(transitivity,[status(thm)],[16400, 16398])).
% 3.86/4.12 tff(16402,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(16403,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 3.86/4.12 tff(16404,plain,
% 3.86/4.12 ($false),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16403, 338, 6387, 1564, 316, 2208, 2301, 6386])).
% 3.86/4.12 tff(16405,plain,((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.12 tff(16406,plain,
% 3.86/4.12 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16405, 16397, 1564, 316, 6387, 6386])).
% 3.86/4.12 tff(16407,plain,
% 3.86/4.12 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[1651, 16406, 1496])).
% 3.86/4.12 tff(16408,plain,
% 3.86/4.12 (~r(elem!1, s(s(s(s(elem!1)))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[2840, 82, 279, 16407])).
% 3.86/4.12 tff(16409,plain,
% 3.86/4.12 (~r(s(s(s(s(elem!1)))), z)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[1662, 16407, 165])).
% 3.86/4.12 tff(16410,plain,
% 3.86/4.12 (b(s(s(s(s(elem!1)))), z)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[1638, 16409])).
% 3.86/4.12 tff(16411,plain,
% 3.86/4.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16412,plain,
% 3.86/4.12 (((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1))) <=> ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16413,plain,
% 3.86/4.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[16412])).
% 3.86/4.12 tff(16414,plain,
% 3.86/4.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.12 inference(transitivity,[status(thm)],[16413, 16411])).
% 3.86/4.12 tff(16415,plain,
% 3.86/4.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1)))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(16416,plain,
% 3.86/4.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), elem!1))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[16415, 16414])).
% 3.86/4.12 tff(16417,plain,
% 3.86/4.12 (~r(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16416, 82, 279, 16407])).
% 3.86/4.12 tff(16418,assumption,(~r(elem!1, s(s(s(s(elem!1)))))), introduced(assumption)).
% 3.86/4.12 tff(16419,plain,
% 3.86/4.12 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[2297, 6041, 16418])).
% 3.86/4.12 tff(16420,plain,
% 3.86/4.12 (~b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[4856, 16419, 1131, 1700, 1021])).
% 3.86/4.12 tff(16421,plain,
% 3.86/4.12 ((s(s(s(s(elem!1)))) = elem!1) | b(s(s(s(s(elem!1)))), elem!1)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[5299, 21, 2191])).
% 3.86/4.12 tff(16422,plain,
% 3.86/4.12 (s(s(s(s(elem!1)))) = elem!1),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16421, 16420])).
% 3.86/4.12 tff(16423,plain,
% 3.86/4.12 (elem!1 = s(s(s(s(elem!1))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[16422, 2831])).
% 3.86/4.12 tff(16424,plain,
% 3.86/4.12 ($false),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[6041, 16423])).
% 3.86/4.12 tff(16425,plain,((elem!1 = s(s(s(s(elem!1))))) | r(s(s(s(s(elem!1)))), elem!1) | (~b(elem!1, z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(z, elem!1)) | r(elem!1, s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.12 tff(16426,plain,
% 3.86/4.12 (elem!1 = s(s(s(s(elem!1))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16425, 16417, 1131, 16410, 1021, 16408])).
% 3.86/4.12 tff(16427,plain,
% 3.86/4.12 (b(elem!1, s(z)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[16426])).
% 3.86/4.12 tff(16428,plain,
% 3.86/4.12 (b(s(s(s(s(elem!1)))), s(z)) <=> b(elem!1, s(z))),
% 3.86/4.12 inference(symmetry,[status(thm)],[16427])).
% 3.86/4.12 tff(16429,plain,
% 3.86/4.12 ((~b(s(s(s(s(elem!1)))), s(z))) <=> (~b(elem!1, s(z)))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[16428])).
% 3.86/4.12 tff(16430,plain,
% 3.86/4.12 (~b(elem!1, s(z))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[16391, 16429])).
% 3.86/4.12 tff(16431,plain,
% 3.86/4.12 ($false),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[831, 16430])).
% 3.86/4.12 tff(16432,plain,(b(s(s(s(s(elem!1)))), s(z)) | (~b(elem!1, s(z))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.12 tff(16433,plain,
% 3.86/4.12 (b(s(s(s(s(elem!1)))), s(z))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[16432, 831, 1131, 1021, 279, 165, 1496, 1564, 316, 6387, 6386, 1475, 16390])).
% 3.86/4.12 tff(16434,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16435,plain,
% 3.86/4.12 (((~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(16436,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(elem!1)))), s(z)))))),
% 3.97/4.12 inference(monotonicity,[status(thm)],[16435])).
% 3.97/4.12 tff(16437,plain,
% 3.97/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(elem!1)))), s(z))))),
% 3.97/4.12 inference(transitivity,[status(thm)],[16436, 16434])).
% 3.97/4.12 tff(16438,plain,
% 3.97/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), z)) | (~b(elem!1, z)) | (~b(elem!1, s(z))))),
% 3.97/4.12 inference(quant_inst,[status(thm)],[])).
% 3.97/4.12 tff(16439,plain,
% 3.97/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(elem!1)))), s(z)))),
% 3.97/4.12 inference(modus_ponens,[status(thm)],[16438, 16437])).
% 3.97/4.12 tff(16440,plain,
% 3.97/4.12 (~b(z, s(s(s(s(elem!1)))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[16439, 338, 1131, 16433, 486, 1740, 831])).
% 3.97/4.12 tff(16441,plain,
% 3.97/4.12 (r(z, s(s(s(s(elem!1)))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1698, 16440])).
% 3.97/4.12 tff(16442,plain,
% 3.97/4.12 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1686, 16441, 165])).
% 3.97/4.12 tff(16443,plain,
% 3.97/4.12 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1651, 16442, 1496])).
% 3.97/4.12 tff(16444,plain,
% 3.97/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.12 inference(rewrite,[status(thm)],[])).
% 3.97/4.12 tff(16445,plain,
% 3.97/4.12 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(z)))) <=> ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.12 inference(rewrite,[status(thm)],[])).
% 3.97/4.12 tff(16446,plain,
% 3.97/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.97/4.12 inference(monotonicity,[status(thm)],[16445])).
% 3.97/4.12 tff(16447,plain,
% 3.97/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.12 inference(transitivity,[status(thm)],[16446, 16444])).
% 3.97/4.12 tff(16448,plain,
% 3.97/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(z))))),
% 3.97/4.12 inference(quant_inst,[status(thm)],[])).
% 3.97/4.12 tff(16449,plain,
% 3.97/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.97/4.12 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 3.97/4.12 tff(16450,plain,
% 3.97/4.12 ($false),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[16449, 338, 1564, 316, 16443, 6386, 16433, 747])).
% 3.97/4.12 tff(16451,plain,((~b(elem!1, s(z))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.12 tff(16452,plain,
% 3.97/4.12 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[16451, 16380, 16268, 16330, 16258, 2119, 162, 16236, 16215, 1740, 16216, 16362, 16254, 2181])).
% 3.97/4.12 tff(16453,plain,
% 3.97/4.12 (r(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1515, 16452, 210])).
% 3.97/4.12 tff(16454,plain,
% 3.97/4.12 (~r(s(elem!1), z)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[7046, 16453, 16328])).
% 3.97/4.12 tff(16455,plain,
% 3.97/4.12 (b(s(elem!1), z)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1812, 16454])).
% 3.97/4.12 tff(16456,plain,
% 3.97/4.12 (~b(s(z), s(elem!1))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[4302, 16455, 1740, 16332, 16215])).
% 3.97/4.12 tff(16457,plain,
% 3.97/4.12 (~(s(s(s(elem!1))) = elem!1)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[2647, 16327, 16216])).
% 3.97/4.12 tff(16458,plain,
% 3.97/4.12 (b(s(s(s(elem!1))), elem!1)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[2162, 16457, 16269])).
% 3.97/4.12 tff(16459,plain,
% 3.97/4.12 (~r(s(elem!1), z)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[7046, 7031, 1502])).
% 3.97/4.12 tff(16460,plain,
% 3.97/4.12 (b(s(elem!1), z)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1812, 16459])).
% 3.97/4.12 tff(16461,plain,
% 3.97/4.12 (~b(elem!1, z)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[7200, 16460, 1597, 1021, 315])).
% 3.97/4.12 tff(16462,plain,
% 3.97/4.12 (r(elem!1, z)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[846, 16461, 1037])).
% 3.97/4.12 tff(16463,plain,
% 3.97/4.12 (~r(elem!1, s(s(elem!1)))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1081, 16462, 165])).
% 3.97/4.12 tff(16464,plain,
% 3.97/4.12 (b(elem!1, s(s(elem!1)))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[321, 16463, 137])).
% 3.97/4.12 tff(16465,plain,
% 3.97/4.12 (~(elem!1 = s(s(s(elem!1))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1924, 16345])).
% 3.97/4.12 tff(16466,plain,
% 3.97/4.12 (~r(elem!1, s(s(s(elem!1))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[12880, 16462, 1597, 254, 315, 1021, 6386])).
% 3.97/4.12 tff(16467,plain,
% 3.97/4.12 (b(elem!1, s(s(s(elem!1))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[1946, 16466, 16465])).
% 3.97/4.12 tff(16468,plain,
% 3.97/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(16469,plain,
% 3.97/4.13 (((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(16470,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16469])).
% 3.97/4.13 tff(16471,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.97/4.13 inference(transitivity,[status(thm)],[16470, 16468])).
% 3.97/4.13 tff(16472,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))),
% 3.97/4.13 inference(quant_inst,[status(thm)],[])).
% 3.97/4.13 tff(16473,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[16472, 16471])).
% 3.97/4.13 tff(16474,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16473, 338, 1929, 2636, 762, 6387, 6386])).
% 3.97/4.13 tff(16475,plain,((~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16476,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16475, 16467, 16464, 6387, 2636, 6386])).
% 3.97/4.13 tff(16477,plain,(b(z, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (elem!1 = s(s(elem!1))) | (~b(z, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16478,plain,
% 3.97/4.13 (~b(elem!1, s(elem!1))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16477, 16453, 162, 16327, 137, 16234, 16330, 16458, 16216, 16332, 16254])).
% 3.97/4.13 tff(16479,plain,
% 3.97/4.13 (r(elem!1, s(elem!1))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[252, 16478, 232])).
% 3.97/4.13 tff(16480,plain,
% 3.97/4.13 (~r(s(z), s(elem!1))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1981, 16479, 754])).
% 3.97/4.13 tff(16481,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[3066, 16480, 16456, 16220])).
% 3.97/4.13 tff(16482,plain,((~b(z, s(s(s(s(z)))))) | (~r(s(z), elem!1)) | (~b(s(z), z)) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (elem!1 = s(s(s(z)))) | (~r(s(s(s(z))), z)) | r(s(s(s(s(z)))), z) | (~r(s(z), s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16483,plain,
% 3.97/4.13 (~b(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16482, 406, 1740, 137, 164, 427, 1050, 426, 121, 754, 62, 140])).
% 3.97/4.13 tff(16484,plain,
% 3.97/4.13 (r(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[391, 16483])).
% 3.97/4.13 tff(16485,plain,
% 3.97/4.13 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[379, 16484, 162])).
% 3.97/4.13 tff(16486,plain,
% 3.97/4.13 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[368, 16485, 62])).
% 3.97/4.13 tff(16487,plain,
% 3.97/4.13 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16486])).
% 3.97/4.13 tff(16488,plain,
% 3.97/4.13 (s(elem!1) = s(s(s(z)))),
% 3.97/4.13 inference(transitivity,[status(thm)],[182, 16487, 44])).
% 3.97/4.13 tff(16489,plain,
% 3.97/4.13 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16488])).
% 3.97/4.13 tff(16490,plain,
% 3.97/4.13 (elem!1 = s(s(z))),
% 3.97/4.13 inference(transitivity,[status(thm)],[5450, 16489, 52])).
% 3.97/4.13 tff(16491,plain,
% 3.97/4.13 (r(s(z), elem!1) <=> r(s(z), s(s(z)))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16490])).
% 3.97/4.13 tff(16492,plain,
% 3.97/4.13 (r(s(z), s(s(z)))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[754, 16491])).
% 3.97/4.13 tff(16493,plain,
% 3.97/4.13 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16490])).
% 3.97/4.13 tff(16494,plain,
% 3.97/4.13 ((~b(s(s(s(s(z)))), elem!1)) <=> (~b(s(s(s(s(z)))), s(s(z))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16493])).
% 3.97/4.13 tff(16495,plain,
% 3.97/4.13 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1119, 16484, 164])).
% 3.97/4.13 tff(16496,plain,
% 3.97/4.13 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1011, 16495])).
% 3.97/4.13 tff(16497,plain,
% 3.97/4.13 (~b(s(s(s(s(z)))), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[2389, 16496, 16226, 16225, 3432])).
% 3.97/4.13 tff(16498,plain,
% 3.97/4.13 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[16497, 16494])).
% 3.97/4.13 tff(16499,plain,
% 3.97/4.13 (r(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[68, 16498])).
% 3.97/4.13 tff(16500,plain,
% 3.97/4.13 (~r(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[90, 16499, 16492])).
% 3.97/4.13 tff(16501,plain,
% 3.97/4.13 (b(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[106, 16500])).
% 3.97/4.13 tff(16502,plain,
% 3.97/4.13 (~r(s(s(s(s(z)))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[113, 16499, 16492])).
% 3.97/4.13 tff(16503,plain,
% 3.97/4.13 (b(s(s(s(s(z)))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[119, 16502])).
% 3.97/4.13 tff(16504,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[3204, 16503, 16501, 128, 1740, 16215])).
% 3.97/4.13 tff(16505,plain,((~r(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~r(s(z), elem!1)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(z))))) | (elem!1 = s(s(elem!1))) | (~r(s(s(s(z))), s(z))) | (elem!1 = s(s(s(z)))) | (~r(s(s(s(z))), z)) | r(s(s(s(s(z)))), z) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16506,plain,
% 3.97/4.13 (~r(s(z), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16505, 427, 754, 62, 164, 137, 1740, 1050, 136, 121, 140])).
% 3.97/4.13 tff(16507,plain,
% 3.97/4.13 (b(s(z), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[424, 16506])).
% 3.97/4.13 tff(16508,plain,
% 3.97/4.13 (~b(s(s(s(s(z)))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[3204, 651, 175, 1740, 486])).
% 3.97/4.13 tff(16509,plain,
% 3.97/4.13 (r(s(s(s(s(z)))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[119, 16508])).
% 3.97/4.13 tff(16510,plain,
% 3.97/4.13 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[7735, 486, 175, 1740, 427])).
% 3.97/4.13 tff(16511,plain,
% 3.97/4.13 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[689, 16510])).
% 3.97/4.13 tff(16512,plain,
% 3.97/4.13 (~b(s(s(s(s(z)))), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[4967, 651, 175, 539, 1021, 457])).
% 3.97/4.13 tff(16513,plain,
% 3.97/4.13 (~r(s(s(s(s(z)))), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[3417, 16509, 754])).
% 3.97/4.13 tff(16514,plain,
% 3.97/4.13 (s(s(s(s(z)))) = elem!1),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1144, 16513, 16512])).
% 3.97/4.13 tff(16515,plain,
% 3.97/4.13 (elem!1 = s(s(s(s(z))))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[16514, 139])).
% 3.97/4.13 tff(16516,plain,
% 3.97/4.13 (b(elem!1, s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[1059])).
% 3.97/4.13 tff(16517,plain,
% 3.97/4.13 (b(s(s(s(s(z)))), s(z)) <=> b(elem!1, s(z))),
% 3.97/4.13 inference(symmetry,[status(thm)],[16516])).
% 3.97/4.13 tff(16518,plain,
% 3.97/4.13 ((~b(s(s(s(s(z)))), s(z))) <=> (~b(elem!1, s(z)))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16517])).
% 3.97/4.13 tff(16519,plain,
% 3.97/4.13 (~b(elem!1, s(z))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[14736, 16518])).
% 3.97/4.13 tff(16520,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[831, 16519])).
% 3.97/4.13 tff(16521,plain,((~(elem!1 = s(s(s(s(z)))))) | (~b(elem!1, s(z))) | b(s(s(s(s(z)))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16522,plain,
% 3.97/4.13 (~(elem!1 = s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16521, 16508, 831])).
% 3.97/4.13 tff(16523,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16522, 16515])).
% 3.97/4.13 tff(16524,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(z), elem!1)) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16525,plain,
% 3.97/4.13 (~b(elem!1, s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16524, 651, 754, 175, 1740, 486, 16511, 1021, 457])).
% 3.97/4.13 tff(16526,plain,
% 3.97/4.13 (r(elem!1, s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[819, 16525, 720])).
% 3.97/4.13 tff(16527,plain,
% 3.97/4.13 (s(s(s(s(z)))) = elem!1),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[10390, 16526, 427, 16226, 16509, 1050])).
% 3.97/4.13 tff(16528,plain,
% 3.97/4.13 (elem!1 = s(s(s(s(z))))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[16527, 139])).
% 3.97/4.13 tff(16529,plain,
% 3.97/4.13 (~b(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[3505, 651, 175, 1740, 486])).
% 3.97/4.13 tff(16530,plain,
% 3.97/4.13 (b(z, elem!1) <=> b(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[1059])).
% 3.97/4.13 tff(16531,plain,
% 3.97/4.13 (b(z, s(s(s(s(z))))) <=> b(z, elem!1)),
% 3.97/4.13 inference(symmetry,[status(thm)],[16530])).
% 3.97/4.13 tff(16532,plain,
% 3.97/4.13 ((~b(z, s(s(s(s(z)))))) <=> (~b(z, elem!1))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16531])).
% 3.97/4.13 tff(16533,plain,
% 3.97/4.13 (~b(z, elem!1)),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[386, 16532])).
% 3.97/4.13 tff(16534,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1021, 16533])).
% 3.97/4.13 tff(16535,plain,((~(elem!1 = s(s(s(s(z)))))) | (~b(z, elem!1)) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16536,plain,
% 3.97/4.13 (~(elem!1 = s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16535, 16529, 1021])).
% 3.97/4.13 tff(16537,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16536, 16528])).
% 3.97/4.13 tff(16538,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (elem!1 = s(s(s(z)))) | (elem!1 = s(z)) | (~b(z, elem!1)) | (~r(s(z), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16539,plain,
% 3.97/4.13 (~b(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16538, 427, 1050, 16334, 16212, 754, 128, 1740, 16215, 16507])).
% 3.97/4.13 tff(16540,plain,
% 3.97/4.13 (r(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[106, 16539])).
% 3.97/4.13 tff(16541,plain,
% 3.97/4.13 (~r(s(z), s(s(elem!1)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[6953, 82, 72, 370])).
% 3.97/4.13 tff(16542,plain,
% 3.97/4.13 (b(s(z), s(s(elem!1)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[743, 16541])).
% 3.97/4.13 tff(16543,plain,
% 3.97/4.13 (~b(s(s(elem!1)), z)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[6963, 16542, 1740, 486, 15162])).
% 3.97/4.13 tff(16544,plain,
% 3.97/4.13 (~r(s(s(elem!1)), z)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[10357, 16542, 426, 6752, 871, 457, 15162])).
% 3.97/4.13 tff(16545,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[800, 16544, 16543])).
% 3.97/4.13 tff(16546,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | r(s(s(s(z))), s(s(elem!1))) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16547,plain,
% 3.97/4.13 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16546, 16367, 12141, 136, 16507, 1740, 16215, 16540])).
% 3.97/4.13 tff(16548,plain,
% 3.97/4.13 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[368, 16547, 62])).
% 3.97/4.13 tff(16549,plain,
% 3.97/4.13 (r(z, s(elem!1))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[189, 16548, 164])).
% 3.97/4.13 tff(16550,plain,
% 3.97/4.13 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16548])).
% 3.97/4.13 tff(16551,plain,
% 3.97/4.13 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 3.97/4.13 inference(symmetry,[status(thm)],[16550])).
% 3.97/4.13 tff(16552,plain,
% 3.97/4.13 ((~r(s(s(s(s(z)))), elem!1)) <=> (~r(s(s(elem!1)), elem!1))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16551])).
% 3.97/4.13 tff(16553,plain,
% 3.97/4.13 (~r(s(s(s(s(z)))), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[2949, 16540, 754])).
% 3.97/4.13 tff(16554,plain,
% 3.97/4.13 (~r(s(s(elem!1)), elem!1)),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 3.97/4.13 tff(16555,plain,
% 3.97/4.13 (b(s(s(elem!1)), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[327, 16554, 197])).
% 3.97/4.13 tff(16556,plain,
% 3.97/4.13 (~r(s(s(elem!1)), s(elem!1))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[272, 16549, 162])).
% 3.97/4.13 tff(16557,plain,
% 3.97/4.13 (b(s(s(elem!1)), s(elem!1))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[277, 16556, 225])).
% 3.97/4.13 tff(16558,plain,
% 3.97/4.13 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16548])).
% 3.97/4.13 tff(16559,plain,
% 3.97/4.13 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 3.97/4.13 inference(symmetry,[status(thm)],[16558])).
% 3.97/4.13 tff(16560,plain,
% 3.97/4.13 (b(s(s(elem!1)), z)),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[128, 16559])).
% 3.97/4.13 tff(16561,plain,
% 3.97/4.13 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16548])).
% 3.97/4.13 tff(16562,plain,
% 3.97/4.13 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(elem!1)))),
% 3.97/4.13 inference(symmetry,[status(thm)],[16561])).
% 3.97/4.13 tff(16563,plain,
% 3.97/4.13 (~r(elem!1, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[3247, 16540, 754])).
% 3.97/4.13 tff(16564,plain,
% 3.97/4.13 (~b(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[2324, 16548, 140])).
% 3.97/4.13 tff(16565,plain,
% 3.97/4.13 (~(elem!1 = s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16535, 16564, 16212])).
% 3.97/4.13 tff(16566,plain,
% 3.97/4.13 (b(elem!1, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1094, 16565, 16563])).
% 3.97/4.13 tff(16567,plain,
% 3.97/4.13 (b(elem!1, s(s(elem!1)))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[16566, 16562])).
% 3.97/4.13 tff(16568,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(16569,plain,
% 3.97/4.13 (((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(16570,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16569])).
% 3.97/4.13 tff(16571,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.97/4.13 inference(transitivity,[status(thm)],[16570, 16568])).
% 3.97/4.13 tff(16572,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 3.97/4.13 inference(quant_inst,[status(thm)],[])).
% 3.97/4.13 tff(16573,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1)))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[16572, 16571])).
% 3.97/4.13 tff(16574,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16573, 338, 1021, 763, 762, 316, 315, 878])).
% 3.97/4.13 tff(16575,plain,((~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16576,plain,
% 3.97/4.13 (~b(elem!1, s(elem!1))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16575, 16567, 16212, 16560, 16557, 16555])).
% 3.97/4.13 tff(16577,plain,
% 3.97/4.13 (r(elem!1, s(elem!1))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[252, 16576, 232])).
% 3.97/4.13 tff(16578,plain,
% 3.97/4.13 (~r(elem!1, z)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1673, 16577, 16549])).
% 3.97/4.13 tff(16579,plain,
% 3.97/4.13 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.97/4.13 inference(symmetry,[status(thm)],[16548])).
% 3.97/4.13 tff(16580,plain,
% 3.97/4.13 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16548, 16579])).
% 3.97/4.13 tff(16581,plain,
% 3.97/4.13 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16580])).
% 3.97/4.13 tff(16582,plain,
% 3.97/4.13 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[62, 16581])).
% 3.97/4.13 tff(16583,plain,
% 3.97/4.13 (~(s(s(s(s(z)))) = elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[10609, 16582, 16567])).
% 3.97/4.13 tff(16584,plain,
% 3.97/4.13 (b(s(s(s(s(z)))), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1144, 16583, 16553])).
% 3.97/4.13 tff(16585,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(16586,plain,
% 3.97/4.13 (((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1))) <=> ((~b(elem!1, z)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(16587,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16586])).
% 3.97/4.13 tff(16588,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.13 inference(transitivity,[status(thm)],[16587, 16585])).
% 3.97/4.13 tff(16589,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)))),
% 3.97/4.13 inference(quant_inst,[status(thm)],[])).
% 3.97/4.13 tff(16590,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[16589, 16588])).
% 3.97/4.13 tff(16591,plain,
% 3.97/4.13 (~b(s(s(s(z))), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16590, 338, 1131, 3918, 539, 1130, 175])).
% 3.97/4.13 tff(16592,plain,
% 3.97/4.13 (s(s(s(z))) = elem!1),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1110, 16591, 1104])).
% 3.97/4.13 tff(16593,plain,
% 3.97/4.13 (b(s(s(s(z))), z) <=> b(elem!1, z)),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16592])).
% 3.97/4.13 tff(16594,plain,
% 3.97/4.13 (b(elem!1, z) <=> b(s(s(s(z))), z)),
% 3.97/4.13 inference(symmetry,[status(thm)],[16593])).
% 3.97/4.13 tff(16595,plain,
% 3.97/4.13 (b(s(s(s(z))), z)),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[1131, 16594])).
% 3.97/4.13 tff(16596,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[129, 16595])).
% 3.97/4.13 tff(16597,plain,((~b(elem!1, z)) | b(s(s(s(z))), z) | r(s(s(s(z))), elem!1) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16598,plain,
% 3.97/4.13 (~b(elem!1, z)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16597, 16584, 12501, 129, 16225, 16566, 128])).
% 3.97/4.13 tff(16599,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[846, 16598, 16578, 16213])).
% 3.97/4.13 tff(16600,plain,((~r(s(s(s(z))), s(z))) | b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1))) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | (~r(s(z), elem!1)) | (elem!1 = s(s(s(z)))) | (elem!1 = s(s(elem!1))) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16601,plain,
% 3.97/4.13 (~r(s(s(s(z))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16600, 16211, 62, 140, 150, 129, 12100, 16073, 137, 121])).
% 3.97/4.13 tff(16602,plain,
% 3.97/4.13 (b(s(s(s(z))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[437, 16601])).
% 3.97/4.13 tff(16603,plain,
% 3.97/4.13 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16089, 12100])).
% 3.97/4.13 tff(16604,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[10335, 82, 406, 1731, 164])).
% 3.97/4.13 tff(16605,plain,((~r(s(z), s(s(s(z))))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16606,plain,
% 3.97/4.13 (~r(z, s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16605, 406, 164])).
% 3.97/4.13 tff(16607,plain,
% 3.97/4.13 (~b(z, s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[11931, 406, 1740, 911, 175, 164])).
% 3.97/4.13 tff(16608,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[403, 16607, 16606])).
% 3.97/4.13 tff(16609,plain,((~r(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16610,plain,
% 3.97/4.13 (~r(s(z), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16609, 911, 1740, 175, 164])).
% 3.97/4.13 tff(16611,plain,
% 3.97/4.13 (b(s(z), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[424, 16610])).
% 3.97/4.13 tff(16612,plain,
% 3.97/4.13 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[2324, 11927, 140])).
% 3.97/4.13 tff(16613,plain,
% 3.97/4.13 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[368, 16612, 62])).
% 3.97/4.13 tff(16614,plain,
% 3.97/4.13 (~r(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16143, 16613, 911])).
% 3.97/4.13 tff(16615,plain,
% 3.97/4.13 (b(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[6881, 16614, 1208])).
% 3.97/4.13 tff(16616,plain,
% 3.97/4.13 (b(s(s(s(z))), s(s(elem!1)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[6754, 871, 12141])).
% 3.97/4.13 tff(16617,plain,
% 3.97/4.13 (~b(s(z), s(s(elem!1)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[6876, 16611, 16616, 458, 16615])).
% 3.97/4.13 tff(16618,plain,
% 3.97/4.13 (r(s(z), s(s(elem!1)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[743, 16617])).
% 3.97/4.13 tff(16619,plain,
% 3.97/4.13 (~r(z, s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[4588, 16618, 162])).
% 3.97/4.13 tff(16620,plain,
% 3.97/4.13 (b(z, s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[403, 16619])).
% 3.97/4.13 tff(16621,plain,
% 3.97/4.13 (~r(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16546, 16620, 12141, 426, 871, 1740, 16613, 16611])).
% 3.97/4.13 tff(16622,plain,
% 3.97/4.13 (~b(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[3505, 16620, 175, 1740, 11927])).
% 3.97/4.13 tff(16623,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[106, 16622, 16621])).
% 3.97/4.13 tff(16624,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16625,plain,
% 3.97/4.13 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16624, 16211, 128, 136, 16603, 16602, 150, 62, 140])).
% 3.97/4.13 tff(16626,plain,
% 3.97/4.13 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[689, 16625])).
% 3.97/4.13 tff(16627,plain,
% 3.97/4.13 (~r(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[11465, 371, 1731])).
% 3.97/4.13 tff(16628,plain,
% 3.97/4.13 (~r(s(z), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16605, 1731, 164])).
% 3.97/4.13 tff(16629,plain,
% 3.97/4.13 (b(s(z), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[424, 16628])).
% 3.97/4.13 tff(16630,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[5079, 5912, 6715, 458, 16629, 651])).
% 3.97/4.13 tff(16631,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16632,plain,
% 3.97/4.13 (~b(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16631, 371, 458, 1731, 164])).
% 3.97/4.13 tff(16633,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[106, 16632, 16627])).
% 3.97/4.13 tff(16634,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16635,plain,
% 3.97/4.13 (~r(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16634, 4550, 458, 164])).
% 3.97/4.13 tff(16636,plain,
% 3.97/4.13 (b(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[391, 16635])).
% 3.97/4.13 tff(16637,plain,
% 3.97/4.13 (~(s(z) = elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[2343, 398, 1021])).
% 3.97/4.13 tff(16638,plain,
% 3.97/4.13 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1237, 16637])).
% 3.97/4.13 tff(16639,plain,
% 3.97/4.13 (b(s(s(s(z))), s(s(elem!1)))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[6754, 16638, 12141])).
% 3.97/4.13 tff(16640,plain,
% 3.97/4.13 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1207, 16638])).
% 3.97/4.13 tff(16641,plain,
% 3.97/4.13 (~r(s(z), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16605, 4550, 164])).
% 3.97/4.13 tff(16642,plain,
% 3.97/4.13 (b(s(z), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[424, 16641])).
% 3.97/4.13 tff(16643,plain,
% 3.97/4.13 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[6876, 16639, 458, 16642, 4590])).
% 3.97/4.13 tff(16644,plain,
% 3.97/4.13 (r(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[6881, 16643, 16640])).
% 3.97/4.13 tff(16645,plain,
% 3.97/4.13 (~r(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16631, 651, 458, 1731, 164])).
% 3.97/4.13 tff(16646,plain,
% 3.97/4.13 (b(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[391, 16645])).
% 3.97/4.13 tff(16647,plain,
% 3.97/4.13 (~b(s(s(s(s(z)))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[11153, 16646, 175, 1740, 651])).
% 3.97/4.13 tff(16648,plain,
% 3.97/4.13 (r(s(s(s(s(z)))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[119, 16647])).
% 3.97/4.13 tff(16649,plain,
% 3.97/4.13 (~r(s(s(s(s(z)))), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[3417, 16648, 754])).
% 3.97/4.13 tff(16650,plain,
% 3.97/4.13 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[2324, 16646, 140])).
% 3.97/4.13 tff(16651,plain,
% 3.97/4.13 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[368, 16650, 62])).
% 3.97/4.13 tff(16652,plain,
% 3.97/4.13 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16143, 16651, 6890])).
% 3.97/4.13 tff(16653,plain,
% 3.97/4.13 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[689, 16652])).
% 3.97/4.13 tff(16654,plain,
% 3.97/4.13 (~b(s(s(s(s(z)))), elem!1)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[4967, 16653, 175, 651, 1021, 16629])).
% 3.97/4.13 tff(16655,plain,
% 3.97/4.13 (s(s(s(s(z)))) = elem!1),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[1144, 16654, 16649])).
% 3.97/4.13 tff(16656,plain,
% 3.97/4.13 (b(s(z), s(s(s(s(z))))) <=> b(s(z), elem!1)),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16655])).
% 3.97/4.13 tff(16657,plain,
% 3.97/4.13 (b(s(z), elem!1) <=> b(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(symmetry,[status(thm)],[16656])).
% 3.97/4.13 tff(16658,plain,
% 3.97/4.13 ((~b(s(z), elem!1)) <=> (~b(s(z), s(s(s(s(z))))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[16657])).
% 3.97/4.13 tff(16659,plain,
% 3.97/4.13 (~b(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[1318, 16658])).
% 3.97/4.13 tff(16660,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[651, 16659])).
% 3.97/4.13 tff(16661,plain,((~b(s(z), s(s(s(s(z)))))) | b(s(z), elem!1) | (~b(s(s(s(s(z)))), z)) | (~b(z, elem!1)) | (~r(s(z), elem!1)) | (~r(s(s(elem!1)), s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(z), z)) | b(z, s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(16662,plain,
% 3.97/4.13 (~b(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[16661, 16644, 175, 1021, 754, 1318, 62, 1740, 140, 458, 4550, 164])).
% 3.97/4.13 tff(16663,plain,
% 3.97/4.13 (r(s(z), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[106, 16662])).
% 3.97/4.13 tff(16664,plain,
% 3.97/4.13 (~r(z, s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[11465, 16663, 4550])).
% 3.97/4.13 tff(16665,plain,
% 3.97/4.14 (b(z, s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[391, 16664])).
% 3.97/4.14 tff(16666,plain,
% 3.97/4.14 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[2324, 16665, 140])).
% 3.97/4.14 tff(16667,plain,
% 3.97/4.14 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[368, 16666, 62])).
% 3.97/4.14 tff(16668,plain,
% 3.97/4.14 (~r(s(s(elem!1)), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6732, 16667, 16663])).
% 3.97/4.14 tff(16669,plain,
% 3.97/4.14 (b(s(s(elem!1)), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[784, 16668])).
% 3.97/4.14 tff(16670,plain,
% 3.97/4.14 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16143, 16667, 16644])).
% 3.97/4.14 tff(16671,plain,
% 3.97/4.14 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[689, 16670])).
% 3.97/4.14 tff(16672,plain,
% 3.97/4.14 (~r(z, s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[11465, 72, 1731])).
% 3.97/4.14 tff(16673,plain,
% 3.97/4.14 (b(z, s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[391, 16672])).
% 3.97/4.14 tff(16674,plain,
% 3.97/4.14 (~r(s(s(z)), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[572, 540, 175, 16673, 164])).
% 3.97/4.14 tff(16675,plain,
% 3.97/4.14 (b(s(s(z)), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[534, 16674])).
% 3.97/4.14 tff(16676,plain,
% 3.97/4.14 (~b(s(z), s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6790, 16675, 458, 3254, 16629, 764])).
% 3.97/4.14 tff(16677,plain,
% 3.97/4.14 (r(s(z), s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[455, 16676])).
% 3.97/4.14 tff(16678,plain,
% 3.97/4.14 (~r(z, s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[2492, 16677, 1731])).
% 3.97/4.14 tff(16679,plain,
% 3.97/4.14 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[593, 16675, 458, 16629, 72])).
% 3.97/4.14 tff(16680,plain,
% 3.97/4.14 (b(s(s(z)), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[598, 16679, 61])).
% 3.97/4.14 tff(16681,plain,
% 3.97/4.14 (~b(z, s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[609, 16680, 16673, 540, 16675, 539])).
% 3.97/4.14 tff(16682,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[563, 16681, 16678])).
% 3.97/4.14 tff(16683,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(16684,plain,
% 3.97/4.14 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16683, 16671, 4550, 458, 16663, 16639, 16669, 175, 164])).
% 3.97/4.14 tff(16685,plain,
% 3.97/4.14 (r(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[68, 16684])).
% 3.97/4.14 tff(16686,plain,
% 3.97/4.14 (~r(s(z), s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[90, 16685, 16663])).
% 3.97/4.14 tff(16687,plain,
% 3.97/4.14 (b(s(z), s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[455, 16686])).
% 3.97/4.14 tff(16688,plain,
% 3.97/4.14 (~b(s(s(z)), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6790, 16687, 458, 16639, 16642, 16669])).
% 3.97/4.14 tff(16689,plain,
% 3.97/4.14 (r(s(s(z)), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[534, 16688])).
% 3.97/4.14 tff(16690,plain,
% 3.97/4.14 (~r(z, s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[558, 16689, 164])).
% 3.97/4.14 tff(16691,plain,
% 3.97/4.14 (b(z, s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[563, 16690])).
% 3.97/4.14 tff(16692,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(16693,plain,
% 3.97/4.14 (((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(16694,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z))))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16693])).
% 3.97/4.14 tff(16695,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 3.97/4.14 inference(transitivity,[status(thm)],[16694, 16692])).
% 3.97/4.14 tff(16696,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.97/4.14 inference(quant_inst,[status(thm)],[])).
% 3.97/4.14 tff(16697,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(z))))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[16696, 16695])).
% 3.97/4.14 tff(16698,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16697, 338, 16691, 1740, 458, 16669, 16687, 16639])).
% 3.97/4.14 tff(16699,plain,(b(z, s(z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1))) | (~b(z, elem!1)) | (~r(s(z), elem!1)) | b(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(16700,plain,
% 3.97/4.14 (b(s(z), elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16699, 398, 1740, 164, 175, 62, 140, 1021, 754, 458])).
% 3.97/4.14 tff(16701,plain,
% 3.97/4.14 (~b(s(s(elem!1)), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[12088, 16700, 1021, 1740, 458, 16091])).
% 3.97/4.14 tff(16702,plain,
% 3.97/4.14 (r(s(s(elem!1)), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[784, 16701])).
% 3.97/4.14 tff(16703,plain,
% 3.97/4.14 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[2324, 16636, 140])).
% 3.97/4.14 tff(16704,plain,
% 3.97/4.14 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[368, 16703, 62])).
% 3.97/4.14 tff(16705,plain,
% 3.97/4.14 (~r(s(z), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6732, 16704, 16702])).
% 3.97/4.14 tff(16706,plain,
% 3.97/4.14 (b(s(z), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[106, 16705])).
% 3.97/4.14 tff(16707,plain,
% 3.97/4.14 (~r(s(s(s(s(z)))), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[2354, 16704, 16702])).
% 3.97/4.14 tff(16708,plain,
% 3.97/4.14 (b(s(s(s(s(z)))), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[119, 16707])).
% 3.97/4.14 tff(16709,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[11153, 16708, 16706, 175, 1740, 16636])).
% 3.97/4.14 tff(16710,plain,(b(z, s(z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~b(z, elem!1)) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(16711,plain,
% 3.97/4.14 (b(z, s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16710, 16211, 128, 62, 140, 16602, 150, 16072, 12100])).
% 3.97/4.14 tff(16712,plain,
% 3.97/4.14 (~(s(s(s(z))) = s(s(elem!1)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1237, 11934])).
% 3.97/4.14 tff(16713,plain,
% 3.97/4.14 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1207, 16712])).
% 3.97/4.14 tff(16714,plain,
% 3.97/4.14 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[379, 13914, 165])).
% 3.97/4.14 tff(16715,plain,
% 3.97/4.14 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[368, 16714, 62])).
% 3.97/4.14 tff(16716,plain,
% 3.97/4.14 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16715])).
% 3.97/4.14 tff(16717,plain,
% 3.97/4.14 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 3.97/4.14 inference(symmetry,[status(thm)],[16716])).
% 3.97/4.14 tff(16718,plain,
% 3.97/4.14 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1119, 13914, 164])).
% 3.97/4.14 tff(16719,plain,
% 3.97/4.14 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1011, 16718])).
% 3.97/4.14 tff(16720,plain,
% 3.97/4.14 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16715])).
% 3.97/4.14 tff(16721,plain,
% 3.97/4.14 (s(elem!1) = s(s(s(z)))),
% 3.97/4.14 inference(transitivity,[status(thm)],[182, 16720, 44])).
% 3.97/4.14 tff(16722,plain,
% 3.97/4.14 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16721])).
% 3.97/4.14 tff(16723,plain,
% 3.97/4.14 (elem!1 = s(s(z))),
% 3.97/4.14 inference(transitivity,[status(thm)],[5450, 16722, 52])).
% 3.97/4.14 tff(16724,plain,
% 3.97/4.14 (b(z, elem!1) <=> b(z, s(s(z)))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16723])).
% 3.97/4.14 tff(16725,plain,
% 3.97/4.14 (b(z, s(s(z)))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[1021, 16724])).
% 3.97/4.14 tff(16726,plain,
% 3.97/4.14 (r(s(z), elem!1) <=> r(s(z), s(s(z)))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16723])).
% 3.97/4.14 tff(16727,plain,
% 3.97/4.14 (r(s(z), s(s(z)))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[754, 16726])).
% 3.97/4.14 tff(16728,plain,
% 3.97/4.14 (~b(s(s(s(s(z)))), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[5782, 651, 458, 539, 987])).
% 3.97/4.14 tff(16729,plain,
% 3.97/4.14 (r(s(s(s(s(z)))), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[119, 16728])).
% 3.97/4.14 tff(16730,plain,
% 3.97/4.14 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[659, 651, 458, 539, 601, 175])).
% 3.97/4.14 tff(16731,plain,
% 3.97/4.14 (r(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[68, 16730])).
% 3.97/4.14 tff(16732,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[113, 16731, 16729, 70])).
% 3.97/4.14 tff(16733,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(16734,plain,
% 3.97/4.14 (~b(s(z), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16733, 16727, 458, 539, 16725, 175, 16719])).
% 3.97/4.14 tff(16735,plain,
% 3.97/4.14 (r(s(z), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[106, 16734])).
% 3.97/4.14 tff(16736,plain,
% 3.97/4.14 (r(s(z), s(s(elem!1)))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[16735, 16717])).
% 3.97/4.14 tff(16737,plain,
% 3.97/4.14 (~(s(z) = elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[10349, 539, 62])).
% 3.97/4.14 tff(16738,plain,
% 3.97/4.14 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16715])).
% 3.97/4.14 tff(16739,plain,
% 3.97/4.14 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 3.97/4.14 inference(symmetry,[status(thm)],[16738])).
% 3.97/4.14 tff(16740,plain,
% 3.97/4.14 (b(s(s(elem!1)), z)),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[175, 16739])).
% 3.97/4.14 tff(16741,plain,
% 3.97/4.14 (~(elem!1 = s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16535, 386, 1021])).
% 3.97/4.14 tff(16742,plain,
% 3.97/4.14 (~r(elem!1, s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[3247, 16735, 754])).
% 3.97/4.14 tff(16743,plain,
% 3.97/4.14 (b(elem!1, s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1094, 16742, 16741])).
% 3.97/4.14 tff(16744,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(16745,plain,
% 3.97/4.14 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z))) <=> ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(16746,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16745])).
% 3.97/4.14 tff(16747,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.14 inference(transitivity,[status(thm)],[16746, 16744])).
% 3.97/4.14 tff(16748,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))),
% 3.97/4.14 inference(quant_inst,[status(thm)],[])).
% 3.97/4.14 tff(16749,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[16748, 16747])).
% 3.97/4.14 tff(16750,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16749, 338, 1021, 706, 3918, 1740, 2381, 539])).
% 3.97/4.14 tff(16751,plain,((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(16752,plain,
% 3.97/4.14 (~b(s(z), elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16751, 3918, 1740, 1021, 2381, 539])).
% 3.97/4.14 tff(16753,plain,
% 3.97/4.14 (r(s(z), elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[701, 16752, 691])).
% 3.97/4.14 tff(16754,plain,
% 3.97/4.14 (~r(s(s(elem!1)), elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[7269, 16753, 721])).
% 3.97/4.14 tff(16755,plain,
% 3.97/4.14 (b(s(s(elem!1)), elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[327, 16754, 207])).
% 3.97/4.14 tff(16756,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(16757,plain,
% 3.97/4.14 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(16758,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16757])).
% 3.97/4.14 tff(16759,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 3.97/4.14 inference(transitivity,[status(thm)],[16758, 16756])).
% 3.97/4.14 tff(16760,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 3.97/4.14 inference(quant_inst,[status(thm)],[])).
% 3.97/4.14 tff(16761,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[16760, 16759])).
% 3.97/4.14 tff(16762,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16761, 338, 1021, 16755, 878, 3918, 2381, 539])).
% 3.97/4.14 tff(16763,plain,((~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (s(s(elem!1)) = elem!1) | (~r(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(16764,plain,
% 3.97/4.14 (~r(s(z), s(s(elem!1)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16763, 16743, 207, 539, 1021, 2381, 16740, 16737, 1740])).
% 3.97/4.14 tff(16765,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16764, 16736])).
% 3.97/4.14 tff(16766,plain,(b(z, s(s(s(s(z))))) | (s(s(elem!1)) = elem!1) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(z), z)) | (~r(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(16767,plain,
% 3.97/4.14 (b(z, s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16766, 11933, 207, 1021, 3432, 1740, 754, 458, 175, 62, 164, 162])).
% 3.97/4.14 tff(16768,plain,
% 3.97/4.14 (~b(s(z), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[3505, 16767, 175, 1740, 486])).
% 3.97/4.14 tff(16769,plain,
% 3.97/4.14 (r(s(z), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[106, 16768])).
% 3.97/4.14 tff(16770,plain,
% 3.97/4.14 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[2324, 16767, 140])).
% 3.97/4.14 tff(16771,plain,
% 3.97/4.14 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[368, 16770, 62])).
% 3.97/4.14 tff(16772,plain,
% 3.97/4.14 (~r(s(s(elem!1)), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6732, 16771, 16769])).
% 3.97/4.14 tff(16773,plain,
% 3.97/4.14 (b(s(s(elem!1)), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[784, 16772])).
% 3.97/4.14 tff(16774,plain,
% 3.97/4.14 (b(s(s(s(z))), s(s(elem!1)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6754, 16712, 12141])).
% 3.97/4.14 tff(16775,plain,
% 3.97/4.14 (~r(s(z), s(s(elem!1)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6953, 82, 16769, 16771])).
% 3.97/4.14 tff(16776,plain,
% 3.97/4.14 (b(s(z), s(s(elem!1)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[743, 16775])).
% 3.97/4.14 tff(16777,plain,
% 3.97/4.14 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[10954, 16776, 458, 16774, 16773])).
% 3.97/4.14 tff(16778,plain,
% 3.97/4.14 (r(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6881, 16777, 16713])).
% 3.97/4.14 tff(16779,plain,
% 3.97/4.14 (~b(s(s(elem!1)), z)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6963, 16776, 1740, 486, 16773])).
% 3.97/4.14 tff(16780,plain,
% 3.97/4.14 (r(s(s(elem!1)), z)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[800, 16779])).
% 3.97/4.14 tff(16781,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1202, 82, 16780, 426, 16778])).
% 3.97/4.14 tff(16782,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | b(z, s(s(elem!1))) | (s(s(elem!1)) = elem!1) | (~b(z, elem!1)) | (~r(s(z), elem!1)) | (~r(z, s(s(s(z))))) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(16783,plain,
% 3.97/4.14 (~r(s(z), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16782, 16711, 136, 16211, 16602, 62, 128, 140, 197, 16072, 12100, 150, 16073])).
% 3.97/4.14 tff(16784,plain,
% 3.97/4.14 (b(s(z), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[424, 16783])).
% 3.97/4.14 tff(16785,plain,
% 3.97/4.14 (b(z, s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16710, 1740, 175, 62, 140, 458, 164, 1021, 754])).
% 3.97/4.14 tff(16786,plain,
% 3.97/4.14 (~r(s(z), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16782, 16785, 426, 1740, 458, 62, 175, 140, 207, 1021, 754, 164, 1050])).
% 3.97/4.14 tff(16787,plain,
% 3.97/4.14 (b(s(z), s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[424, 16786])).
% 3.97/4.14 tff(16788,plain,
% 3.97/4.14 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16546, 72, 12141, 426, 16090, 1740, 16785, 16787])).
% 3.97/4.14 tff(16789,plain,
% 3.97/4.14 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[368, 16788, 62])).
% 3.97/4.14 tff(16790,plain,
% 3.97/4.14 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16789])).
% 3.97/4.14 tff(16791,plain,
% 3.97/4.14 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 3.97/4.14 inference(symmetry,[status(thm)],[16790])).
% 3.97/4.14 tff(16792,plain,
% 3.97/4.14 ((~r(s(s(s(s(z)))), elem!1)) <=> (~r(s(s(elem!1)), elem!1))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16791])).
% 3.97/4.14 tff(16793,plain,
% 3.97/4.14 (~r(s(s(elem!1)), elem!1)),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[12644, 16792])).
% 3.97/4.14 tff(16794,plain,
% 3.97/4.14 (b(s(s(elem!1)), elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[327, 16793, 207])).
% 3.97/4.14 tff(16795,plain,
% 3.97/4.14 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[11454, 16789])).
% 3.97/4.14 tff(16796,plain,
% 3.97/4.14 (s(s(s(z))) = s(elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[4794, 16795])).
% 3.97/4.14 tff(16797,plain,
% 3.97/4.14 (s(elem!1) = s(s(s(z)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[3985, 16796])).
% 3.97/4.14 tff(16798,plain,
% 3.97/4.14 (~(s(s(s(elem!1))) = elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[3655, 16797])).
% 3.97/4.14 tff(16799,plain,
% 3.97/4.14 (~(elem!1 = s(s(s(elem!1))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1924, 16798])).
% 3.97/4.14 tff(16800,plain,
% 3.97/4.14 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1292, 6350, 7207])).
% 3.97/4.14 tff(16801,plain,
% 3.97/4.14 (~r(elem!1, s(s(s(elem!1))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[7241, 190, 165, 207, 1353, 1021, 16800, 7208])).
% 3.97/4.14 tff(16802,plain,
% 3.97/4.14 (b(elem!1, s(s(s(elem!1))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[1946, 16801, 1939])).
% 3.97/4.14 tff(16803,plain,
% 3.97/4.14 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[178])).
% 3.97/4.14 tff(16804,plain,
% 3.97/4.14 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(elem!1)))),
% 3.97/4.14 inference(symmetry,[status(thm)],[16803])).
% 3.97/4.14 tff(16805,plain,
% 3.97/4.14 (b(elem!1, s(s(elem!1)))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[3918, 16804])).
% 3.97/4.14 tff(16806,plain,
% 3.97/4.14 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 3.97/4.14 inference(monotonicity,[status(thm)],[178])).
% 3.97/4.14 tff(16807,plain,
% 3.97/4.14 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 3.97/4.14 inference(symmetry,[status(thm)],[16806])).
% 3.97/4.14 tff(16808,plain,
% 3.97/4.14 ((~r(s(s(s(s(z)))), elem!1)) <=> (~r(s(s(elem!1)), elem!1))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16807])).
% 3.97/4.14 tff(16809,plain,
% 3.97/4.14 (~r(s(s(elem!1)), elem!1)),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[8418, 16808])).
% 3.97/4.14 tff(16810,plain,
% 3.97/4.14 (b(s(s(elem!1)), elem!1)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[327, 16809, 207])).
% 3.97/4.14 tff(16811,plain,
% 3.97/4.14 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[6395, 762, 1929, 763, 6387])).
% 3.97/4.14 tff(16812,plain,
% 3.97/4.14 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[2619, 16811, 2614])).
% 3.97/4.14 tff(16813,plain,
% 3.97/4.14 (~r(s(s(elem!1)), z)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[7217, 16812, 1353])).
% 3.97/4.14 tff(16814,plain,
% 3.97/4.14 (b(s(s(elem!1)), z)),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[800, 16813])).
% 3.97/4.14 tff(16815,plain,
% 3.97/4.14 (((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(16816,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[16815])).
% 3.97/4.14 tff(16817,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 3.97/4.14 inference(transitivity,[status(thm)],[16816, 13952])).
% 3.97/4.14 tff(16818,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))),
% 3.97/4.14 inference(quant_inst,[status(thm)],[])).
% 3.97/4.14 tff(16819,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[16818, 16817])).
% 3.97/4.14 tff(16820,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[16819, 338, 1021, 763, 1929, 762, 6387, 16814])).
% 3.97/4.15 tff(16821,plain,((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (s(s(elem!1)) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16822,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16821, 16810, 16805, 1353, 16802, 16800, 1021, 7208])).
% 3.97/4.15 tff(16823,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (s(s(elem!1)) = elem!1) | (~b(elem!1, s(s(s(s(z)))))) | r(s(s(s(s(z)))), elem!1) | (elem!1 = s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16824,plain,
% 3.97/4.15 (~b(elem!1, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16823, 178, 1021, 207, 1353, 8418, 1939, 162, 164])).
% 3.97/4.15 tff(16825,plain,
% 3.97/4.15 (~b(z, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2324, 178, 140])).
% 3.97/4.15 tff(16826,plain,
% 3.97/4.15 (~(elem!1 = s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16535, 16825, 1021])).
% 3.97/4.15 tff(16827,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1094, 16826, 16824, 8415])).
% 3.97/4.15 tff(16828,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | r(elem!1, s(s(s(s(z))))) | (~b(z, elem!1)) | (s(s(elem!1)) = elem!1) | (~r(z, s(s(s(elem!1))))) | r(s(s(s(s(z)))), elem!1) | (elem!1 = s(s(s(elem!1)))) | (~r(z, s(s(s(z))))) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16829,plain,
% 3.97/4.15 (~r(z, s(s(s(elem!1))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16828, 16799, 1021, 207, 12640, 12644, 16789, 164, 140])).
% 3.97/4.15 tff(16830,plain,
% 3.97/4.15 (b(z, s(s(s(elem!1))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1373, 16829])).
% 3.97/4.15 tff(16831,plain,
% 3.97/4.15 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16789])).
% 3.97/4.15 tff(16832,plain,
% 3.97/4.15 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16831])).
% 3.97/4.15 tff(16833,plain,
% 3.97/4.15 (r(s(z), s(s(elem!1)))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[72, 16832])).
% 3.97/4.15 tff(16834,plain,
% 3.97/4.15 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[4229, 16833, 140, 16830])).
% 3.97/4.15 tff(16835,plain,
% 3.97/4.15 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16789])).
% 3.97/4.15 tff(16836,plain,
% 3.97/4.15 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(elem!1)))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16835])).
% 3.97/4.15 tff(16837,plain,
% 3.97/4.15 (~b(z, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2324, 16789, 140])).
% 3.97/4.15 tff(16838,plain,
% 3.97/4.15 (~(elem!1 = s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16535, 16837, 1021])).
% 3.97/4.15 tff(16839,plain,
% 3.97/4.15 (b(elem!1, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1094, 16838, 12640])).
% 3.97/4.15 tff(16840,plain,
% 3.97/4.15 (b(elem!1, s(s(elem!1)))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[16839, 16836])).
% 3.97/4.15 tff(16841,plain,
% 3.97/4.15 (r(z, s(elem!1))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[189, 16789, 164])).
% 3.97/4.15 tff(16842,plain,
% 3.97/4.15 (~r(s(s(elem!1)), s(elem!1))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[272, 16841, 162])).
% 3.97/4.15 tff(16843,plain,
% 3.97/4.15 (b(s(s(elem!1)), s(elem!1))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[277, 16842, 7148])).
% 3.97/4.15 tff(16844,plain,
% 3.97/4.15 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16789])).
% 3.97/4.15 tff(16845,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 3.97/4.15 inference(symmetry,[status(thm)],[16844])).
% 3.97/4.15 tff(16846,plain,
% 3.97/4.15 (b(s(s(elem!1)), z)),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[175, 16845])).
% 3.97/4.15 tff(16847,plain,
% 3.97/4.15 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16789])).
% 3.97/4.15 tff(16848,plain,
% 3.97/4.15 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16847])).
% 3.97/4.15 tff(16849,plain,
% 3.97/4.15 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16789])).
% 3.97/4.15 tff(16850,plain,
% 3.97/4.15 (s(elem!1) = s(s(s(z)))),
% 3.97/4.15 inference(transitivity,[status(thm)],[182, 16849, 44])).
% 3.97/4.15 tff(16851,plain,
% 3.97/4.15 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16850])).
% 3.97/4.15 tff(16852,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16851])).
% 3.97/4.15 tff(16853,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.97/4.15 inference(transitivity,[status(thm)],[16852, 16848])).
% 3.97/4.15 tff(16854,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16624, 1740, 175, 426, 16090, 458, 164, 62, 140])).
% 3.97/4.15 tff(16855,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[689, 16854])).
% 3.97/4.15 tff(16856,plain,
% 3.97/4.15 (b(s(elem!1), s(s(elem!1)))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[16855, 16853])).
% 3.97/4.15 tff(16857,plain,
% 3.97/4.15 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[7230, 16856, 1021, 16794, 16846, 16834])).
% 3.97/4.15 tff(16858,plain,
% 3.97/4.15 (r(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1515, 16857, 5948])).
% 3.97/4.15 tff(16859,plain,
% 3.97/4.15 (~r(elem!1, s(s(s(elem!1))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2040, 16858, 16843, 16840, 7150, 16794])).
% 3.97/4.15 tff(16860,plain,
% 3.97/4.15 (b(elem!1, s(s(s(elem!1))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1946, 16859, 16799])).
% 3.97/4.15 tff(16861,plain,
% 3.97/4.15 (~r(s(s(s(elem!1))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[13962, 16860, 16840, 1021, 7208, 16834, 16794])).
% 3.97/4.15 tff(16862,plain,
% 3.97/4.15 (~b(elem!1, s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16766, 16837, 207, 1021, 16855, 1740, 754, 458, 175, 62, 164, 162])).
% 3.97/4.15 tff(16863,plain,
% 3.97/4.15 (r(elem!1, s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1160, 16862, 1050])).
% 3.97/4.15 tff(16864,plain,
% 3.97/4.15 (~r(elem!1, z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2377, 16863, 164])).
% 3.97/4.15 tff(16865,plain,
% 3.97/4.15 (b(elem!1, z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[846, 16864, 1037])).
% 3.97/4.15 tff(16866,plain,
% 3.97/4.15 (~b(s(s(s(elem!1))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1937, 16860, 1021, 16865, 16830])).
% 3.97/4.15 tff(16867,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1387, 16866, 16861])).
% 3.97/4.15 tff(16868,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, elem!1)) | b(z, s(s(elem!1))) | (s(s(elem!1)) = elem!1) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (elem!1 = s(s(s(z)))) | (~b(s(z), z)) | (~r(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16869,plain,
% 3.97/4.15 (~r(s(z), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16868, 16072, 140, 197, 128, 150, 16073, 16211, 12100, 16602, 62, 136])).
% 3.97/4.15 tff(16870,plain,
% 3.97/4.15 (b(s(z), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[106, 16869])).
% 3.97/4.15 tff(16871,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[4967, 16870, 128, 16784, 16072, 16626])).
% 3.97/4.15 tff(16872,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3204, 651, 486, 1740, 2911])).
% 3.97/4.15 tff(16873,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[127, 16872])).
% 3.97/4.15 tff(16874,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[5079, 651, 458, 457, 2911])).
% 3.97/4.15 tff(16875,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1011, 16874])).
% 3.97/4.15 tff(16876,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1127, 16875, 16873, 4863])).
% 3.97/4.15 tff(16877,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16878,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16877, 16870, 16211, 16602, 16711, 16784])).
% 3.97/4.15 tff(16879,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[119, 16878])).
% 3.97/4.15 tff(16880,plain,
% 3.97/4.15 (~r(s(s(s(s(z)))), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3417, 16879, 12100])).
% 3.97/4.15 tff(16881,plain,
% 3.97/4.15 (s(s(s(s(z)))) = elem!1),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1144, 16880, 16871])).
% 3.97/4.15 tff(16882,plain,
% 3.97/4.15 (elem!1 = s(s(s(s(z))))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[16881, 139])).
% 3.97/4.15 tff(16883,plain,
% 3.97/4.15 (~b(z, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3505, 16870, 128, 16211, 16711])).
% 3.97/4.15 tff(16884,plain,
% 3.97/4.15 (~(elem!1 = s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16535, 16883, 16072])).
% 3.97/4.15 tff(16885,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16884, 16882])).
% 3.97/4.15 tff(16886,plain,(b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(z))), z) | (elem!1 = s(s(elem!1))) | r(s(s(s(s(z)))), z) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16887,plain,
% 3.97/4.15 (b(z, s(s(elem!1)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16886, 138, 129, 137, 121, 62])).
% 3.97/4.15 tff(16888,plain,
% 3.97/4.15 (b(z, s(s(elem!1))) <=> b(z, s(s(s(z))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[1204])).
% 3.97/4.15 tff(16889,plain,
% 3.97/4.15 (b(z, s(s(s(z)))) <=> b(z, s(s(elem!1)))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16888])).
% 3.97/4.15 tff(16890,plain,
% 3.97/4.15 ((~b(z, s(s(s(z))))) <=> (~b(z, s(s(elem!1))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16889])).
% 3.97/4.15 tff(16891,plain,
% 3.97/4.15 (~b(z, s(s(elem!1)))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[138, 16890])).
% 3.97/4.15 tff(16892,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[8722, 16891])).
% 3.97/4.15 tff(16893,plain,((~(s(s(elem!1)) = s(s(s(z))))) | (~b(z, s(s(elem!1)))) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16894,plain,
% 3.97/4.15 (~(s(s(elem!1)) = s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16893, 8722, 138])).
% 3.97/4.15 tff(16895,plain,
% 3.97/4.15 (b(z, s(s(s(z)))) <=> b(z, s(s(elem!1)))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[870])).
% 3.97/4.15 tff(16896,plain,
% 3.97/4.15 (b(z, s(s(elem!1))) <=> b(z, s(s(s(z))))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16895])).
% 3.97/4.15 tff(16897,plain,
% 3.97/4.15 (b(z, s(s(s(z))))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[8722, 16896])).
% 3.97/4.15 tff(16898,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[138, 16897])).
% 3.97/4.15 tff(16899,plain,((~(s(z) = elem!1)) | b(z, s(s(s(z)))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16900,plain,
% 3.97/4.15 (~(s(z) = elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16899, 138, 8722])).
% 3.97/4.15 tff(16901,plain,
% 3.97/4.15 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[183])).
% 3.97/4.15 tff(16902,plain,
% 3.97/4.15 (elem!1 = s(s(z))),
% 3.97/4.15 inference(transitivity,[status(thm)],[5450, 16901, 52])).
% 3.97/4.15 tff(16903,plain,
% 3.97/4.15 ((z = elem!1) <=> (z = s(s(z)))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16902])).
% 3.97/4.15 tff(16904,plain,
% 3.97/4.15 ((z = elem!1) <=> (s(s(z)) = z)),
% 3.97/4.15 inference(transitivity,[status(thm)],[16903, 3889])).
% 3.97/4.15 tff(16905,plain,
% 3.97/4.15 ((s(s(z)) = z) <=> (z = elem!1)),
% 3.97/4.15 inference(symmetry,[status(thm)],[16904])).
% 3.97/4.15 tff(16906,plain,
% 3.97/4.15 ((~(s(s(z)) = z)) <=> (~(z = elem!1))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16905])).
% 3.97/4.15 tff(16907,plain,
% 3.97/4.15 (~(z = elem!1)),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[56, 16906])).
% 3.97/4.15 tff(16908,plain,
% 3.97/4.15 (r(z, elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[353, 16907, 177])).
% 3.97/4.15 tff(16909,plain,
% 3.97/4.15 (~r(s(z), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[759, 16908, 405])).
% 3.97/4.15 tff(16910,plain,
% 3.97/4.15 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(z))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[183])).
% 3.97/4.15 tff(16911,plain,
% 3.97/4.15 (b(s(z), s(s(s(z)))) <=> b(s(z), s(elem!1))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16910])).
% 3.97/4.15 tff(16912,plain,
% 3.97/4.15 (b(s(z), s(elem!1))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[544, 16911])).
% 3.97/4.15 tff(16913,plain,
% 3.97/4.15 (b(s(elem!1), s(z)) <=> b(s(s(s(z))), s(z))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[183])).
% 3.97/4.15 tff(16914,plain,
% 3.97/4.15 (b(s(s(s(z))), s(z)) <=> b(s(elem!1), s(z))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16913])).
% 3.97/4.15 tff(16915,plain,
% 3.97/4.15 (b(s(elem!1), s(z))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[458, 16914])).
% 3.97/4.15 tff(16916,plain,
% 3.97/4.15 ((s(z) = elem!1) <=> (s(z) = s(s(z)))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16902])).
% 3.97/4.15 tff(16917,plain,
% 3.97/4.15 ((s(z) = s(s(z))) <=> (s(z) = elem!1)),
% 3.97/4.15 inference(symmetry,[status(thm)],[16916])).
% 3.97/4.15 tff(16918,plain,
% 3.97/4.15 ((~(s(z) = s(s(z)))) <=> (~(s(z) = elem!1))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16917])).
% 3.97/4.15 tff(16919,plain,
% 3.97/4.15 (~(s(z) = elem!1)),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[450, 16918])).
% 3.97/4.15 tff(16920,plain,
% 3.97/4.15 (~r(elem!1, s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[8266, 16908, 1731])).
% 3.97/4.15 tff(16921,plain,
% 3.97/4.15 (~r(elem!1, s(elem!1))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[243, 16908, 190])).
% 3.97/4.15 tff(16922,plain,
% 3.97/4.15 (b(elem!1, s(elem!1))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[252, 16921, 246])).
% 3.97/4.15 tff(16923,plain,
% 3.97/4.15 (b(elem!1, s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[819, 697, 813])).
% 3.97/4.15 tff(16924,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[9859, 16923, 702, 315, 3083, 3084])).
% 3.97/4.15 tff(16925,plain,((s(z) = elem!1) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))) | r(elem!1, s(z)) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16926,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16925, 16922, 16920, 16919, 16915, 16912, 16909])).
% 3.97/4.15 tff(16927,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (elem!1 = s(elem!1)) | (~r(z, s(z))) | (~r(s(z), z)) | b(z, elem!1) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16928,plain,
% 3.97/4.15 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16927, 177, 232, 27, 1731, 438, 164])).
% 3.97/4.15 tff(16929,plain,
% 3.97/4.15 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[368, 16928, 62])).
% 3.97/4.15 tff(16930,plain,
% 3.97/4.15 (b(s(z), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[701, 176, 691])).
% 3.97/4.15 tff(16931,plain,
% 3.97/4.15 (~(z = elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[709, 16930, 1])).
% 3.97/4.15 tff(16932,plain,
% 3.97/4.15 (r(z, elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[353, 16931, 177])).
% 3.97/4.15 tff(16933,plain,
% 3.97/4.15 (~r(s(s(s(z))), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[12126, 16932, 164])).
% 3.97/4.15 tff(16934,plain,
% 3.97/4.15 (~r(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[414, 27, 164])).
% 3.97/4.15 tff(16935,plain,
% 3.97/4.15 (b(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[424, 16934])).
% 3.97/4.15 tff(16936,plain,
% 3.97/4.15 (~r(elem!1, s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[8266, 16932, 1731])).
% 3.97/4.15 tff(16937,plain,
% 3.97/4.15 (b(elem!1, s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[819, 16936, 697])).
% 3.97/4.15 tff(16938,plain,
% 3.97/4.15 (~b(s(s(s(z))), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6908, 16937, 438, 16935, 16930])).
% 3.97/4.15 tff(16939,plain,
% 3.97/4.15 (s(s(s(z))) = elem!1),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1110, 16938, 16933])).
% 3.97/4.15 tff(16940,plain,
% 3.97/4.15 (s(s(s(s(z)))) = s(elem!1)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16939])).
% 3.97/4.15 tff(16941,plain,
% 3.97/4.15 (b(s(z), s(s(s(s(z))))) <=> b(s(z), s(elem!1))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16940])).
% 3.97/4.15 tff(16942,plain,
% 3.97/4.15 (~(s(elem!1) = s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1912, 16931])).
% 3.97/4.15 tff(16943,plain,
% 3.97/4.15 (~(s(z) = s(elem!1))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1919, 16942])).
% 3.97/4.15 tff(16944,plain,
% 3.97/4.15 (~r(z, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16634, 1731, 438, 164])).
% 3.97/4.15 tff(16945,plain,
% 3.97/4.15 (~(s(s(s(s(z)))) = elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[12155, 16932, 16944])).
% 3.97/4.15 tff(16946,plain,
% 3.97/4.15 (~(s(s(elem!1)) = s(s(z)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[10916, 16942])).
% 3.97/4.15 tff(16947,plain,
% 3.97/4.15 (r(s(s(elem!1)), s(s(s(z)))) <=> r(s(s(elem!1)), elem!1)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[1053])).
% 3.97/4.15 tff(16948,plain,
% 3.97/4.15 (r(s(s(elem!1)), elem!1) <=> r(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16947])).
% 3.97/4.15 tff(16949,assumption,(~b(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 3.97/4.15 tff(16950,plain,
% 3.97/4.15 (r(s(z), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[106, 16949])).
% 3.97/4.15 tff(16951,plain,
% 3.97/4.15 (~r(s(s(elem!1)), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6732, 16950, 370])).
% 3.97/4.15 tff(16952,plain,
% 3.97/4.15 (b(s(s(elem!1)), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[784, 16951])).
% 3.97/4.15 tff(16953,plain,
% 3.97/4.15 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(elem!1))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[12161])).
% 3.97/4.15 tff(16954,plain,
% 3.97/4.15 (r(s(s(elem!1)), s(elem!1))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[370, 16953])).
% 3.97/4.15 tff(16955,plain,
% 3.97/4.15 (elem!1 = s(s(s(z)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1056, 1053])).
% 3.97/4.15 tff(16956,plain,
% 3.97/4.15 (s(elem!1) = s(s(s(s(z))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[1040])).
% 3.97/4.15 tff(16957,plain,
% 3.97/4.15 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16956])).
% 3.97/4.15 tff(16958,plain,
% 3.97/4.15 (b(s(z), s(s(s(s(z))))) <=> b(s(z), s(elem!1))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16957])).
% 3.97/4.15 tff(16959,plain,
% 3.97/4.15 ((~b(s(z), s(s(s(s(z)))))) <=> (~b(s(z), s(elem!1)))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16958])).
% 3.97/4.15 tff(16960,plain,
% 3.97/4.15 (~b(s(z), s(elem!1))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[16949, 16959])).
% 3.97/4.15 tff(16961,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3083, 16960])).
% 3.97/4.15 tff(16962,plain,((~(elem!1 = s(s(s(z))))) | (~b(s(z), s(elem!1))) | b(s(z), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16963,plain,
% 3.97/4.15 (~b(s(z), s(elem!1))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16962, 16949, 16955])).
% 3.97/4.15 tff(16964,plain,
% 3.97/4.15 (r(s(z), s(elem!1))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3066, 16963, 1949])).
% 3.97/4.15 tff(16965,plain,
% 3.97/4.15 (~r(s(z), s(s(elem!1)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[8352, 16964, 16954])).
% 3.97/4.15 tff(16966,plain,
% 3.97/4.15 (b(s(z), s(s(elem!1)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[743, 16965])).
% 3.97/4.15 tff(16967,plain,
% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(16968,plain,
% 3.97/4.15 (((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(16969,plain,
% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16968])).
% 3.97/4.15 tff(16970,plain,
% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.15 inference(transitivity,[status(thm)],[16969, 16967])).
% 3.97/4.15 tff(16971,plain,
% 3.97/4.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), elem!1)))),
% 3.97/4.15 inference(quant_inst,[status(thm)],[])).
% 3.97/4.15 tff(16972,plain,
% 3.97/4.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 3.97/4.15 tff(16973,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16972, 338, 763, 706, 747, 831, 764])).
% 3.97/4.15 tff(16974,plain,((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16975,plain,
% 3.97/4.15 (~b(s(s(elem!1)), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16974, 16966, 706, 831, 16952])).
% 3.97/4.15 tff(16976,plain,
% 3.97/4.15 (r(s(s(elem!1)), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[327, 16975, 207])).
% 3.97/4.15 tff(16977,plain,
% 3.97/4.15 (r(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[16976, 16948])).
% 3.97/4.15 tff(16978,plain,
% 3.97/4.15 (~r(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16143, 911, 370])).
% 3.97/4.15 tff(16979,plain,
% 3.97/4.15 (b(s(s(elem!1)), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6881, 16978, 6879])).
% 3.97/4.15 tff(16980,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(s(elem!1)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[14568, 911, 370])).
% 3.97/4.15 tff(16981,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(elem!1)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6754, 16980, 871])).
% 3.97/4.15 tff(16982,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6876, 16981, 16979, 458, 747, 457])).
% 3.97/4.15 tff(16983,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(16984,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16983, 16966, 542, 544, 871, 6879, 370])).
% 3.97/4.15 tff(16985,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[689, 16984])).
% 3.97/4.15 tff(16986,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[673, 16985, 164, 405, 175, 426])).
% 3.97/4.15 tff(16987,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[68, 16986])).
% 3.97/4.15 tff(16988,plain,
% 3.97/4.15 (~r(s(z), s(s(z)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[90, 16987, 16950])).
% 3.97/4.15 tff(16989,plain,
% 3.97/4.15 (b(s(z), s(s(z)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[455, 16988])).
% 3.97/4.15 tff(16990,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), s(z)) <=> b(s(elem!1), s(z))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[12161])).
% 3.97/4.15 tff(16991,plain,
% 3.97/4.15 (b(s(elem!1), s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 3.97/4.15 inference(symmetry,[status(thm)],[16990])).
% 3.97/4.15 tff(16992,plain,
% 3.97/4.15 ((~b(s(elem!1), s(z))) <=> (~b(s(s(s(s(z)))), s(z)))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16991])).
% 3.97/4.15 tff(16993,plain,
% 3.97/4.15 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(elem!1))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[12161])).
% 3.97/4.15 tff(16994,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[1053])).
% 3.97/4.15 tff(16995,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(elem!1))),
% 3.97/4.15 inference(transitivity,[status(thm)],[16994, 16993])).
% 3.97/4.15 tff(16996,plain,
% 3.97/4.15 (b(elem!1, s(elem!1))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[16985, 16995])).
% 3.97/4.15 tff(16997,plain,
% 3.97/4.15 (~r(s(s(s(s(z)))), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2419, 16976, 370])).
% 3.97/4.15 tff(16998,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1144, 16997, 1039])).
% 3.97/4.15 tff(16999,plain,
% 3.97/4.15 (b(s(elem!1), elem!1)),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[16998, 12162])).
% 3.97/4.15 tff(17000,plain,
% 3.97/4.15 (~b(s(elem!1), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[13089, 16999, 706, 831, 16996])).
% 3.97/4.15 tff(17001,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(z))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[17000, 16992])).
% 3.97/4.15 tff(17002,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[119, 17001])).
% 3.97/4.15 tff(17003,plain,
% 3.97/4.15 (~r(s(s(z)), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[464, 17002, 16987])).
% 3.97/4.15 tff(17004,plain,
% 3.97/4.15 (b(s(s(z)), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[472, 17003])).
% 3.97/4.15 tff(17005,plain,
% 3.97/4.15 (~b(s(s(z)), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[484, 17004, 542, 544, 16989])).
% 3.97/4.15 tff(17006,plain,
% 3.97/4.15 (r(s(s(z)), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[534, 17005])).
% 3.97/4.15 tff(17007,assumption,(r(s(s(elem!1)), s(s(z)))), introduced(assumption)).
% 3.97/4.15 tff(17008,plain,
% 3.97/4.15 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(17009,plain,
% 3.97/4.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 3.97/4.15 inference(quant_inst,[status(thm)],[])).
% 3.97/4.15 tff(17010,plain,
% 3.97/4.15 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z))))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[17009, 17008])).
% 3.97/4.15 tff(17011,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17010, 82, 487, 6890, 17007])).
% 3.97/4.15 tff(17012,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17013,plain,
% 3.97/4.15 (~r(s(s(elem!1)), s(s(z)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17012, 17006, 16977])).
% 3.97/4.15 tff(17014,plain,
% 3.97/4.15 (~b(s(s(elem!1)), s(s(z)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[11079, 17004, 16952, 16966, 16989])).
% 3.97/4.15 tff(17015,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[11083, 21, 17014, 17013, 10936])).
% 3.97/4.15 tff(17016,plain,(b(s(z), s(s(s(s(z))))) | (s(s(elem!1)) = s(s(z))) | (~(s(s(s(z))) = elem!1)) | (~b(s(z), elem!1)) | (~b(elem!1, s(z))) | (s(s(s(s(z)))) = elem!1) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (s(s(elem!1)) = elem!1) | (~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (s(s(elem!1)) = s(s(s(z)))) | (s(z) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17017,plain,
% 3.97/4.15 (b(s(z), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17016, 16946, 16939, 16930, 16937, 16945, 370, 197, 164, 27, 175, 136, 11888, 6879, 16943])).
% 3.97/4.15 tff(17018,plain,
% 3.97/4.15 (b(s(z), s(elem!1))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[17017, 16941])).
% 3.97/4.15 tff(17019,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), elem!1) <=> b(s(elem!1), elem!1)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16940])).
% 3.97/4.15 tff(17020,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), elem!1)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16939])).
% 3.97/4.15 tff(17021,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(elem!1), elem!1)),
% 3.97/4.15 inference(transitivity,[status(thm)],[17020, 17019])).
% 3.97/4.15 tff(17022,plain,
% 3.97/4.15 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(elem!1))) = elem!1)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16939])).
% 3.97/4.15 tff(17023,plain,
% 3.97/4.15 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(elem!1))))),
% 3.97/4.15 inference(transitivity,[status(thm)],[17022, 3376])).
% 3.97/4.15 tff(17024,plain,
% 3.97/4.15 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[17023])).
% 3.97/4.15 tff(17025,plain,
% 3.97/4.15 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3121, 16942])).
% 3.97/4.15 tff(17026,plain,
% 3.97/4.15 (~(elem!1 = s(s(s(elem!1))))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 3.97/4.15 tff(17027,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), z) <=> b(s(elem!1), z)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16940])).
% 3.97/4.15 tff(17028,plain,
% 3.97/4.15 (b(s(elem!1), z)),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[175, 17027])).
% 3.97/4.15 tff(17029,plain,
% 3.97/4.15 (r(s(s(s(z))), z) <=> r(elem!1, z)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16939])).
% 3.97/4.15 tff(17030,plain,
% 3.97/4.15 (r(elem!1, z)),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[136, 17029])).
% 3.97/4.15 tff(17031,plain,
% 3.97/4.15 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[17022])).
% 3.97/4.15 tff(17032,plain,
% 3.97/4.15 (~(s(s(s(elem!1))) = elem!1)),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[17025, 17031])).
% 3.97/4.15 tff(17033,plain,
% 3.97/4.15 (b(z, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[391, 16944])).
% 3.97/4.15 tff(17034,plain,
% 3.97/4.15 (b(s(s(s(z))), z) <=> b(elem!1, z)),
% 3.97/4.15 inference(monotonicity,[status(thm)],[16939])).
% 3.97/4.15 tff(17035,plain,
% 3.97/4.15 ((~b(s(s(s(z))), z)) <=> (~b(elem!1, z))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[17034])).
% 3.97/4.15 tff(17036,plain,
% 3.97/4.15 (~b(elem!1, z)),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[129, 17035])).
% 3.97/4.15 tff(17037,plain,
% 3.97/4.15 (~(elem!1 = z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[716, 16931])).
% 3.97/4.15 tff(17038,plain,
% 3.97/4.15 (~b(s(z), s(s(elem!1)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16983, 911, 458, 457, 11888, 6879, 370])).
% 3.97/4.15 tff(17039,plain,
% 3.97/4.15 (s(elem!1) = s(s(s(s(z))))),
% 3.97/4.15 inference(symmetry,[status(thm)],[12161])).
% 3.97/4.15 tff(17040,plain,
% 3.97/4.15 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[17039])).
% 3.97/4.15 tff(17041,plain,
% 3.97/4.15 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(elem!1))),
% 3.97/4.15 inference(symmetry,[status(thm)],[17040])).
% 3.97/4.15 tff(17042,plain,
% 3.97/4.15 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[1053])).
% 3.97/4.15 tff(17043,plain,
% 3.97/4.15 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(elem!1, s(elem!1))),
% 3.97/4.15 inference(transitivity,[status(thm)],[17042, 17041])).
% 3.97/4.15 tff(17044,plain,
% 3.97/4.15 (r(elem!1, s(elem!1))),
% 3.97/4.15 inference(modus_ponens,[status(thm)],[911, 17043])).
% 3.97/4.15 tff(17045,plain,
% 3.97/4.15 (~r(s(s(elem!1)), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[7115, 82, 17044, 16954])).
% 3.97/4.15 tff(17046,plain,
% 3.97/4.15 (b(s(s(elem!1)), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[327, 17045, 197])).
% 3.97/4.15 tff(17047,plain,
% 3.97/4.15 (~r(elem!1, s(s(elem!1)))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2713, 82, 17044, 16954])).
% 3.97/4.15 tff(17048,plain,
% 3.97/4.15 (~r(s(s(s(elem!1))), elem!1)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[8761, 1382, 137, 8722, 719, 323, 317])).
% 3.97/4.15 tff(17049,plain,
% 3.97/4.15 (~r(elem!1, s(s(s(elem!1))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2167, 7062, 802])).
% 3.97/4.15 tff(17050,plain,
% 3.97/4.15 (~r(s(s(s(elem!1))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2597, 82, 1301, 405])).
% 3.97/4.15 tff(17051,plain,
% 3.97/4.15 (b(s(s(s(elem!1))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1990, 17050])).
% 3.97/4.15 tff(17052,plain,
% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(17053,plain,
% 3.97/4.15 (((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(17054,plain,
% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17053])).
% 3.97/4.16 tff(17055,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17054, 17052])).
% 3.97/4.16 tff(17056,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17057,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17056, 17055])).
% 3.97/4.16 tff(17058,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17057, 338, 1929, 2636, 706, 1880, 5431])).
% 3.97/4.16 tff(17059,plain,((~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17060,plain,
% 3.97/4.16 (~b(s(z), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17059, 17051, 2636, 1880, 1929])).
% 3.97/4.16 tff(17061,plain,
% 3.97/4.16 (r(s(z), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[701, 17060, 691])).
% 3.97/4.16 tff(17062,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[757, 82, 234, 17061, 405])).
% 3.97/4.16 tff(17063,plain,((~r(s(z), z)) | (~r(z, elem!1)) | (s(z) = elem!1) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17064,plain,
% 3.97/4.16 (~b(s(z), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17063, 405, 234, 2636, 691, 1929, 1301])).
% 3.97/4.16 tff(17065,plain,
% 3.97/4.16 (~r(s(z), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[11135, 82, 1301, 405])).
% 3.97/4.16 tff(17066,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1868, 21, 1263, 17065, 17064])).
% 3.97/4.16 tff(17067,plain,((~r(s(z), z)) | (~r(s(s(s(elem!1))), z)) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (s(z) = elem!1) | (~b(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17068,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17067, 4635, 2631, 691, 405, 234, 1301])).
% 3.97/4.16 tff(17069,plain,((s(s(s(elem!1))) = elem!1) | (s(z) = elem!1) | (~r(s(z), z)) | (~r(z, elem!1)) | (~r(s(s(s(elem!1))), z)) | r(elem!1, s(s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17070,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17069, 17049, 17048, 405, 234, 1271, 691, 7062])).
% 3.97/4.16 tff(17071,plain,(b(s(s(s(elem!1))), z) | (~r(s(z), z)) | (~r(z, elem!1)) | (s(s(s(elem!1))) = elem!1) | (s(z) = elem!1) | (~r(elem!1, z)) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17072,plain,
% 3.97/4.16 (b(s(s(s(elem!1))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17071, 17045, 234, 1271, 691, 802, 137, 8722, 719, 405, 17047])).
% 3.97/4.16 tff(17073,plain,
% 3.97/4.16 (b(elem!1, s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[321, 17047, 137])).
% 3.97/4.16 tff(17074,plain,
% 3.97/4.16 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[11736, 17046, 16954, 1939, 2180, 17044, 17073])).
% 3.97/4.16 tff(17075,plain,
% 3.97/4.16 (b(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1971, 17074, 218])).
% 3.97/4.16 tff(17076,plain,
% 3.97/4.16 (b(z, s(s(s(s(z))))) <=> b(z, s(elem!1))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[12161])).
% 3.97/4.16 tff(17077,plain,
% 3.97/4.16 (b(z, s(elem!1))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[555, 17076])).
% 3.97/4.16 tff(17078,plain,
% 3.97/4.16 (~b(z, s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1804, 17072, 17077, 1796, 17075])).
% 3.97/4.16 tff(17079,plain,
% 3.97/4.16 (r(z, s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1373, 17078])).
% 3.97/4.16 tff(17080,plain,
% 3.97/4.16 (b(elem!1, s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[6374, 17079, 3977, 17072, 719])).
% 3.97/4.16 tff(17081,plain,
% 3.97/4.16 (~r(s(z), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[5440, 7031, 405])).
% 3.97/4.16 tff(17082,plain,
% 3.97/4.16 (b(s(z), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1870, 17081])).
% 3.97/4.16 tff(17083,plain,
% 3.97/4.16 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2141, 2138, 555])).
% 3.97/4.16 tff(17084,plain,
% 3.97/4.16 (~(s(z) = elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1412, 17083])).
% 3.97/4.16 tff(17085,plain,
% 3.97/4.16 (b(s(z), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[701, 17084, 176])).
% 3.97/4.16 tff(17086,plain,
% 3.97/4.16 (~r(s(s(s(elem!1))), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[6359, 7031, 234])).
% 3.97/4.16 tff(17087,plain,
% 3.97/4.16 (b(s(s(s(elem!1))), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2162, 17086, 1271])).
% 3.97/4.16 tff(17088,plain,
% 3.97/4.16 (~r(elem!1, s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[6371, 7031, 802])).
% 3.97/4.16 tff(17089,plain,
% 3.97/4.16 (b(elem!1, s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1946, 17088, 1925])).
% 3.97/4.16 tff(17090,plain,
% 3.97/4.16 (~b(s(s(s(elem!1))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17059, 17089, 17087, 17085, 17082])).
% 3.97/4.16 tff(17091,plain,
% 3.97/4.16 (r(s(s(s(elem!1))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1990, 17090])).
% 3.97/4.16 tff(17092,plain,
% 3.97/4.16 (~r(z, s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[287, 234, 279])).
% 3.97/4.16 tff(17093,plain,
% 3.97/4.16 (b(z, s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[161, 17092])).
% 3.97/4.16 tff(17094,plain,
% 3.97/4.16 (~r(s(s(elem!1)), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[8977, 1301, 1294])).
% 3.97/4.16 tff(17095,plain,
% 3.97/4.16 (b(s(s(elem!1)), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[800, 17094])).
% 3.97/4.16 tff(17096,plain,
% 3.97/4.16 (~r(s(s(elem!1)), s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[5905, 1564, 2636, 1929, 222, 279, 1294])).
% 3.97/4.16 tff(17097,plain,
% 3.97/4.16 (b(s(s(elem!1)), s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[277, 17096, 2033])).
% 3.97/4.16 tff(17098,plain,
% 3.97/4.16 (~b(s(elem!1), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[9365, 1597, 316, 878, 8722])).
% 3.97/4.16 tff(17099,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17100,plain,
% 3.97/4.16 (((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17101,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17100])).
% 3.97/4.16 tff(17102,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17101, 17099])).
% 3.97/4.16 tff(17103,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17104,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), elem!1))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17103, 17102])).
% 3.97/4.16 tff(17105,plain,
% 3.97/4.16 (~b(s(elem!1), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17104, 338, 1929, 8722, 1597, 1564, 316])).
% 3.97/4.16 tff(17106,plain,
% 3.97/4.16 (r(s(elem!1), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[312, 17105, 306])).
% 3.97/4.16 tff(17107,plain,
% 3.97/4.16 (~r(s(elem!1), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2764, 17106, 234])).
% 3.97/4.16 tff(17108,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1810, 21, 736, 17107, 17098])).
% 3.97/4.16 tff(17109,plain,((~b(z, s(elem!1))) | (~r(z, elem!1)) | (s(elem!1) = elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17110,plain,
% 3.97/4.16 (~b(z, s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17109, 1564, 306, 1929, 17093, 234, 17097, 17095])).
% 3.97/4.16 tff(17111,plain,
% 3.97/4.16 (r(z, s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1615, 17110])).
% 3.97/4.16 tff(17112,plain,
% 3.97/4.16 (~r(s(elem!1), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[303, 17111, 234])).
% 3.97/4.16 tff(17113,plain,
% 3.97/4.16 (b(s(elem!1), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[312, 17112, 306])).
% 3.97/4.16 tff(17114,plain,
% 3.97/4.16 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[8904, 17111, 1301])).
% 3.97/4.16 tff(17115,plain,
% 3.97/4.16 (b(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1971, 17114, 222])).
% 3.97/4.16 tff(17116,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17117,plain,
% 3.97/4.16 (((~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17118,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17117])).
% 3.97/4.16 tff(17119,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17118, 17116])).
% 3.97/4.16 tff(17120,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17121,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 3.97/4.16 tff(17122,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17121, 338, 17115, 1929, 2636, 1564, 17113])).
% 3.97/4.16 tff(17123,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = elem!1) | (s(s(s(elem!1))) = s(elem!1)) | (~r(z, elem!1)) | (~r(s(s(s(elem!1))), z)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17124,plain,
% 3.97/4.16 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17123, 1301, 2636, 7150, 5949, 234, 1929, 279, 1294])).
% 3.97/4.16 tff(17125,plain,
% 3.97/4.16 (r(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1515, 17124, 5948])).
% 3.97/4.16 tff(17126,plain,
% 3.97/4.16 (~r(z, s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[7166, 17125, 1353])).
% 3.97/4.16 tff(17127,plain,
% 3.97/4.16 (b(z, s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1615, 17126])).
% 3.97/4.16 tff(17128,plain,
% 3.97/4.16 (~r(s(s(elem!1)), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[7215, 82, 1353, 2257])).
% 3.97/4.16 tff(17129,plain,
% 3.97/4.16 (b(s(s(elem!1)), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[800, 17128])).
% 3.97/4.16 tff(17130,plain,
% 3.97/4.16 (~r(s(s(elem!1)), s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2627, 82, 1502, 2257])).
% 3.97/4.16 tff(17131,plain,
% 3.97/4.16 (b(s(s(elem!1)), s(elem!1))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[277, 17130, 229])).
% 3.97/4.16 tff(17132,plain,
% 3.97/4.16 (~b(s(elem!1), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[9365, 17131, 1597, 17129, 8722])).
% 3.97/4.16 tff(17133,plain,
% 3.97/4.16 (~r(s(elem!1), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[7044, 82, 1353, 1502])).
% 3.97/4.16 tff(17134,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1810, 21, 736, 17133, 17132])).
% 3.97/4.16 tff(17135,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17136,plain,
% 3.97/4.16 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17135, 17127, 17093, 7148, 17125, 1353])).
% 3.97/4.16 tff(17137,plain,
% 3.97/4.16 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2619, 17136, 2614])).
% 3.97/4.16 tff(17138,plain,
% 3.97/4.16 ((~(s(z) = elem!1)) <=> (~(elem!1 = s(z)))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[748])).
% 3.97/4.16 tff(17139,plain,
% 3.97/4.16 (b(s(elem!1), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1810, 21, 736, 17133])).
% 3.97/4.16 tff(17140,plain,
% 3.97/4.16 ((s(s(z)) = s(s(s(z)))) <=> (s(elem!1) = s(s(s(z))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[869])).
% 3.97/4.16 tff(17141,plain,
% 3.97/4.16 ((s(s(z)) = s(s(s(z)))) <=> (s(s(s(z))) = s(elem!1))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17140, 3686])).
% 3.97/4.16 tff(17142,plain,
% 3.97/4.16 ((s(s(s(z))) = s(elem!1)) <=> (s(s(z)) = s(s(s(z))))),
% 3.97/4.16 inference(symmetry,[status(thm)],[17141])).
% 3.97/4.16 tff(17143,plain,
% 3.97/4.16 ((s(s(elem!1)) = s(elem!1)) <=> (s(s(s(z))) = s(elem!1))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[1345])).
% 3.97/4.16 tff(17144,plain,
% 3.97/4.16 ((s(s(elem!1)) = s(elem!1)) <=> (s(s(z)) = s(s(s(z))))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17143, 17142])).
% 3.97/4.16 tff(17145,plain,
% 3.97/4.16 ((~(s(s(elem!1)) = s(elem!1))) <=> (~(s(s(z)) = s(s(s(z)))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17144])).
% 3.97/4.16 tff(17146,plain,
% 3.97/4.16 (~(s(s(z)) = s(s(s(z))))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[229, 17145])).
% 3.97/4.16 tff(17147,plain,
% 3.97/4.16 (b(s(elem!1), s(s(elem!1))) <=> b(s(s(z)), s(s(s(z))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[5388, 1345])).
% 3.97/4.16 tff(17148,plain,
% 3.97/4.16 (b(s(s(z)), s(s(s(z)))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.97/4.16 inference(symmetry,[status(thm)],[17147])).
% 3.97/4.16 tff(17149,plain,
% 3.97/4.16 (b(s(elem!1), s(s(elem!1)))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[476, 17148])).
% 3.97/4.16 tff(17150,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17151,plain,
% 3.97/4.16 (((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17152,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17151])).
% 3.97/4.16 tff(17153,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17152, 17150])).
% 3.97/4.16 tff(17154,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17155,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 3.97/4.16 tff(17156,plain,
% 3.97/4.16 (~b(s(elem!1), s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17155, 338, 763, 2636, 8722, 6386, 1796])).
% 3.97/4.16 tff(17157,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17156, 17149])).
% 3.97/4.16 tff(17158,plain,((~b(s(s(z)), s(s(s(z))))) | (~(s(z) = elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17159,plain,
% 3.97/4.16 (~b(s(s(z)), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17158, 749, 763, 2636, 8722, 6386, 1796])).
% 3.97/4.16 tff(17160,plain,
% 3.97/4.16 (r(s(s(z)), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[533, 17159, 17146])).
% 3.97/4.16 tff(17161,plain,
% 3.97/4.16 (r(s(elem!1), s(s(elem!1)))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17160, 5390])).
% 3.97/4.16 tff(17162,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[5398, 17161])).
% 3.97/4.16 tff(17163,plain,((~(s(z) = elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (s(s(elem!1)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17164,plain,
% 3.97/4.16 (~(s(z) = elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17163, 763, 1502, 1294, 2636, 17093, 6386, 17139, 229])).
% 3.97/4.16 tff(17165,plain,
% 3.97/4.16 (~(elem!1 = s(z))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17164, 17138])).
% 3.97/4.16 tff(17166,plain,
% 3.97/4.16 (~r(s(z), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[5438, 82, 1353, 1854])).
% 3.97/4.16 tff(17167,plain,
% 3.97/4.16 (b(s(z), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[24, 21, 11, 17166])).
% 3.97/4.16 tff(17168,plain,
% 3.97/4.16 (~b(s(z), s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[10264, 17167, 2636, 8722, 6386, 763])).
% 3.97/4.16 tff(17169,plain,
% 3.97/4.16 (r(s(z), s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[743, 17168])).
% 3.97/4.16 tff(17170,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[4221, 82, 1294, 17169, 1854])).
% 3.97/4.16 tff(17171,plain,((~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17172,plain,
% 3.97/4.16 (~r(s(z), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17171, 763, 2636, 17093, 6386, 1294, 1353])).
% 3.97/4.16 tff(17173,plain,
% 3.97/4.16 (b(s(z), s(s(s(elem!1))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1868, 21, 1263, 17172])).
% 3.97/4.16 tff(17174,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17175,plain,
% 3.97/4.16 (((~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17176,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z)))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17175])).
% 3.97/4.16 tff(17177,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17176, 17174])).
% 3.97/4.16 tff(17178,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17179,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z)))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 3.97/4.16 tff(17180,plain,
% 3.97/4.16 (~b(elem!1, s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17179, 338, 763, 1929, 2636, 6386, 17173])).
% 3.97/4.16 tff(17181,plain,
% 3.97/4.16 (r(elem!1, s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[817, 21, 17180, 17165])).
% 3.97/4.16 tff(17182,plain,
% 3.97/4.16 (~r(s(z), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17063, 17164, 234, 2636, 17173, 1929, 1301])).
% 3.97/4.16 tff(17183,plain,
% 3.97/4.16 (b(s(z), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[24, 21, 11, 17182])).
% 3.97/4.16 tff(17184,plain,
% 3.97/4.16 (~b(s(z), s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[10264, 17183, 2636, 17093, 6386, 763])).
% 3.97/4.16 tff(17185,plain,
% 3.97/4.16 (r(s(z), s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[743, 17184])).
% 3.97/4.16 tff(17186,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[9071, 82, 279, 17185, 17181])).
% 3.97/4.16 tff(17187,plain,((~b(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (s(s(elem!1)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17188,plain,
% 3.97/4.16 (~b(s(s(elem!1)), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17187, 17137, 2636, 279, 234, 1929, 1301, 1294, 1353, 17125, 7148])).
% 3.97/4.16 tff(17189,plain,
% 3.97/4.16 (r(s(s(elem!1)), elem!1)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[327, 17188, 207])).
% 3.97/4.16 tff(17190,plain,
% 3.97/4.16 (b(s(z), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[24, 21, 11, 3131])).
% 3.97/4.16 tff(17191,plain,
% 3.97/4.16 (~r(s(z), s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[7269, 754, 254])).
% 3.97/4.16 tff(17192,plain,
% 3.97/4.16 (b(s(z), s(s(elem!1)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[743, 17191])).
% 3.97/4.16 tff(17193,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17194,plain,
% 3.97/4.16 (((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17195,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1))))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17194])).
% 3.97/4.16 tff(17196,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17195, 17193])).
% 3.97/4.16 tff(17197,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17198,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1))))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 3.97/4.16 tff(17199,plain,
% 3.97/4.16 (~b(z, s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17198, 338, 8722, 878, 17192, 17190])).
% 3.97/4.17 tff(17200,plain,
% 3.97/4.17 (~r(z, s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[3145, 754, 234])).
% 3.97/4.17 tff(17201,plain,
% 3.97/4.17 ((z = s(z)) | b(z, s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[401, 21, 17200])).
% 3.97/4.17 tff(17202,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17201, 17199, 5846])).
% 3.97/4.17 tff(17203,plain,((~r(s(z), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17204,plain,
% 3.97/4.17 (~r(s(z), elem!1)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17203, 17189, 17095, 234, 17093])).
% 3.97/4.17 tff(17205,plain,
% 3.97/4.17 (~r(s(z), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17067, 691, 234, 2636, 1301, 1929])).
% 3.97/4.17 tff(17206,plain,
% 3.97/4.17 (b(s(z), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[24, 21, 11, 17205])).
% 3.97/4.17 tff(17207,plain,
% 3.97/4.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17208,plain,
% 3.97/4.17 (((~r(s(z), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17209,plain,
% 3.97/4.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(elem!1)))))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17208])).
% 3.97/4.17 tff(17210,plain,
% 3.97/4.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(elem!1))))))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17209, 17207])).
% 3.97/4.17 tff(17211,plain,
% 3.97/4.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17212,plain,
% 3.97/4.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(elem!1)))))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 3.97/4.17 tff(17213,plain,
% 3.97/4.17 (~r(z, s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17212, 82, 1353, 1854])).
% 3.97/4.17 tff(17214,plain,
% 3.97/4.17 ((z = s(z)) | b(z, s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[401, 21, 17213])).
% 3.97/4.17 tff(17215,plain,
% 3.97/4.17 (b(z, s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17214, 5846])).
% 3.97/4.17 tff(17216,plain,
% 3.97/4.17 (~r(s(z), s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[4223, 1854, 1294])).
% 3.97/4.17 tff(17217,plain,
% 3.97/4.17 (b(s(z), s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[743, 17216])).
% 3.97/4.17 tff(17218,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17198, 338, 8722, 878, 17217, 17215, 1740])).
% 3.97/4.17 tff(17219,plain,((~r(s(z), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17220,plain,
% 3.97/4.17 (~r(s(z), s(s(s(elem!1))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17219, 17206, 17095, 8722, 1294, 1353])).
% 3.97/4.17 tff(17221,plain,
% 3.97/4.17 (b(s(z), s(s(s(elem!1))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1870, 17220])).
% 3.97/4.17 tff(17222,plain,
% 3.97/4.17 (~b(s(s(s(elem!1))), s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17059, 17221, 2636, 702, 1929])).
% 3.97/4.17 tff(17223,plain,
% 3.97/4.17 (r(s(s(s(elem!1))), s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1990, 17222])).
% 3.97/4.17 tff(17224,plain,
% 3.97/4.17 (~r(s(s(elem!1)), s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[3038, 17223, 1294])).
% 3.97/4.17 tff(17225,plain,
% 3.97/4.17 ((s(s(elem!1)) = s(z)) | b(s(s(elem!1)), s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[782, 21, 17224])).
% 3.97/4.17 tff(17226,plain,
% 3.97/4.17 (b(s(s(elem!1)), s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17225, 2538])).
% 3.97/4.17 tff(17227,plain,
% 3.97/4.17 (~b(s(z), s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[9063, 17206, 17095, 8722, 17226])).
% 3.97/4.17 tff(17228,plain,
% 3.97/4.17 (r(s(z), s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[743, 17227])).
% 3.97/4.17 tff(17229,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[4213, 82, 1294, 17228, 17223])).
% 3.97/4.17 tff(17230,plain,((s(z) = elem!1) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(s(s(s(elem!1))), z)) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17231,plain,
% 3.97/4.17 (s(z) = elem!1),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17230, 1301, 17093, 2636, 1929, 1353, 234, 1294, 17204])).
% 3.97/4.17 tff(17232,plain,
% 3.97/4.17 (s(s(z)) = s(elem!1)),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17231])).
% 3.97/4.17 tff(17233,plain,
% 3.97/4.17 (s(s(s(z))) = s(s(elem!1))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17232])).
% 3.97/4.17 tff(17234,plain,
% 3.97/4.17 (s(s(elem!1)) = s(s(s(z)))),
% 3.97/4.17 inference(symmetry,[status(thm)],[17233])).
% 3.97/4.17 tff(17235,plain,
% 3.97/4.17 (s(elem!1) = s(s(z))),
% 3.97/4.17 inference(symmetry,[status(thm)],[17232])).
% 3.97/4.17 tff(17236,plain,
% 3.97/4.17 (b(s(elem!1), s(s(elem!1))) <=> b(s(s(z)), s(s(s(z))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17235, 17234])).
% 3.97/4.17 tff(17237,plain,
% 3.97/4.17 (b(s(s(z)), s(s(s(z)))) <=> b(s(elem!1), s(s(elem!1)))),
% 3.97/4.17 inference(symmetry,[status(thm)],[17236])).
% 3.97/4.17 tff(17238,plain,
% 3.97/4.17 ((s(s(z)) = s(s(s(z)))) <=> (s(elem!1) = s(s(s(z))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17232])).
% 3.97/4.17 tff(17239,plain,
% 3.97/4.17 ((s(s(z)) = s(s(s(z)))) <=> (s(s(s(z))) = s(elem!1))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17238, 3686])).
% 3.97/4.17 tff(17240,plain,
% 3.97/4.17 ((s(s(s(z))) = s(elem!1)) <=> (s(s(z)) = s(s(s(z))))),
% 3.97/4.17 inference(symmetry,[status(thm)],[17239])).
% 3.97/4.17 tff(17241,plain,
% 3.97/4.17 ((s(s(elem!1)) = s(elem!1)) <=> (s(s(s(z))) = s(elem!1))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17234])).
% 3.97/4.17 tff(17242,plain,
% 3.97/4.17 ((s(s(elem!1)) = s(elem!1)) <=> (s(s(z)) = s(s(s(z))))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17241, 17240])).
% 3.97/4.17 tff(17243,plain,
% 3.97/4.17 ((~(s(s(elem!1)) = s(elem!1))) <=> (~(s(s(z)) = s(s(s(z)))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17242])).
% 3.97/4.17 tff(17244,plain,
% 3.97/4.17 (~(s(s(z)) = s(s(s(z))))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[7148, 17243])).
% 3.97/4.17 tff(17245,plain,
% 3.97/4.17 (~r(s(s(z)), s(s(s(z))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[5400, 17231, 1294, 17125])).
% 3.97/4.17 tff(17246,plain,
% 3.97/4.17 (b(s(s(z)), s(s(s(z))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[533, 17245, 17244])).
% 3.97/4.17 tff(17247,plain,
% 3.97/4.17 (b(s(elem!1), s(s(elem!1)))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17246, 17237])).
% 3.97/4.17 tff(17248,plain,
% 3.97/4.17 (~r(s(elem!1), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[7044, 82, 1353, 17125])).
% 3.97/4.17 tff(17249,plain,
% 3.97/4.17 (b(s(elem!1), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1810, 21, 736, 17248])).
% 3.97/4.17 tff(17250,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17251,plain,
% 3.97/4.17 (((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17252,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17251])).
% 3.97/4.17 tff(17253,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17252, 17250])).
% 3.97/4.17 tff(17254,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17255,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17254, 17253])).
% 3.97/4.17 tff(17256,plain,
% 3.97/4.17 (~b(s(elem!1), s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17255, 338, 17093, 17127, 17095, 17249])).
% 3.97/4.17 tff(17257,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17256, 17247])).
% 3.97/4.17 tff(17258,plain,((~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (s(s(elem!1)) = elem!1) | (~r(elem!1, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17259,plain,
% 3.97/4.17 (~r(s(s(s(elem!1))), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17258, 234, 2636, 1929, 1353, 1294, 207, 279, 2614])).
% 3.97/4.17 tff(17260,plain,
% 3.97/4.17 (b(s(s(s(elem!1))), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1387, 17259])).
% 3.97/4.17 tff(17261,plain,
% 3.97/4.17 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[7217, 787, 1353])).
% 3.97/4.17 tff(17262,plain,
% 3.97/4.17 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[2619, 17261, 2614])).
% 3.97/4.17 tff(17263,plain,
% 3.97/4.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), z)))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17264,plain,
% 3.97/4.17 (((~r(s(s(elem!1)), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1))))) <=> ((~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), z)))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17265,plain,
% 3.97/4.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), z))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17264])).
% 3.97/4.17 tff(17266,plain,
% 3.97/4.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), z)))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17265, 17263])).
% 3.97/4.17 tff(17267,plain,
% 3.97/4.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17268,plain,
% 3.97/4.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), z))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 3.97/4.17 tff(17269,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17268, 82, 802, 279, 787])).
% 3.97/4.17 tff(17270,plain,((~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17271,plain,
% 3.97/4.17 (~r(elem!1, z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17270, 787, 279])).
% 3.97/4.17 tff(17272,plain,
% 3.97/4.17 (b(elem!1, z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[846, 17271, 719])).
% 3.97/4.17 tff(17273,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17274,plain,
% 3.97/4.17 (((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17275,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17274])).
% 3.97/4.17 tff(17276,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17275, 17273])).
% 3.97/4.17 tff(17277,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17278,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17277, 17276])).
% 3.97/4.17 tff(17279,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17278, 338, 17272, 14158, 1596, 1929, 2636, 17262])).
% 3.97/4.17 tff(17280,plain,((~r(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (elem!1 = z) | (s(s(elem!1)) = elem!1) | (~r(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17281,plain,
% 3.97/4.17 (~r(s(s(elem!1)), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17280, 17260, 1929, 2636, 2614, 719, 207, 1353, 279, 234])).
% 3.97/4.17 tff(17282,plain,
% 3.97/4.17 (b(s(s(elem!1)), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[800, 17281])).
% 3.97/4.17 tff(17283,plain,
% 3.97/4.17 (~b(z, s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17109, 17097, 306, 1929, 17093, 234, 1564, 878])).
% 3.97/4.17 tff(17284,plain,
% 3.97/4.17 (r(z, s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1615, 17283])).
% 3.97/4.17 tff(17285,plain,
% 3.97/4.17 (~r(s(elem!1), elem!1)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[303, 17284, 234])).
% 3.97/4.17 tff(17286,plain,
% 3.97/4.17 (b(s(elem!1), elem!1)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[312, 17285, 306])).
% 3.97/4.17 tff(17287,plain,
% 3.97/4.17 (~b(elem!1, s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[13508, 17286, 2636, 1929, 1564])).
% 3.97/4.17 tff(17288,plain,
% 3.97/4.17 (r(elem!1, s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[252, 17287, 5894])).
% 3.97/4.17 tff(17289,plain,
% 3.97/4.17 (~r(elem!1, z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1673, 17288, 17284])).
% 3.97/4.17 tff(17290,plain,
% 3.97/4.17 (b(elem!1, z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[846, 17289, 719])).
% 3.97/4.17 tff(17291,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17292,plain,
% 3.97/4.17 (((~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17293,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17292])).
% 3.97/4.17 tff(17294,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17293, 17291])).
% 3.97/4.17 tff(17295,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17296,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 3.97/4.17 tff(17297,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17296, 338, 17290, 1596, 1929, 2636, 1564, 17286])).
% 3.97/4.17 tff(17298,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (elem!1 = z) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(s(s(elem!1)), z)) | (s(s(s(elem!1))) = s(elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17299,plain,
% 3.97/4.17 (~b(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17298, 17260, 1929, 2636, 719, 7150, 234, 17282, 5949, 279, 1294])).
% 3.97/4.17 tff(17300,plain,
% 3.97/4.17 (r(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1515, 17299, 5948])).
% 3.97/4.17 tff(17301,plain,
% 3.97/4.17 (~r(s(elem!1), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[7044, 82, 1353, 17300])).
% 3.97/4.17 tff(17302,plain,
% 3.97/4.17 (b(s(elem!1), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1810, 21, 736, 17301])).
% 3.97/4.17 tff(17303,plain,
% 3.97/4.17 (~r(z, s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[7166, 17300, 1353])).
% 3.97/4.17 tff(17304,plain,
% 3.97/4.17 (b(z, s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1615, 17303])).
% 3.97/4.17 tff(17305,plain,
% 3.97/4.17 (~b(s(s(elem!1)), s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[9365, 17302, 17304, 17282, 17093])).
% 3.97/4.17 tff(17306,plain,
% 3.97/4.17 (r(s(s(elem!1)), s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[277, 17305, 7148])).
% 3.97/4.17 tff(17307,plain,
% 3.97/4.17 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[2048, 17306, 1294])).
% 3.97/4.17 tff(17308,plain,
% 3.97/4.17 (b(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1971, 17307, 5949])).
% 3.97/4.17 tff(17309,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17310,plain,
% 3.97/4.17 (((~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17311,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17310])).
% 3.97/4.17 tff(17312,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17311, 17309])).
% 3.97/4.17 tff(17313,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17314,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17313, 17312])).
% 3.97/4.17 tff(17315,plain,
% 3.97/4.17 (~b(s(elem!1), s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17314, 338, 17308, 17260, 17304, 17282, 17302])).
% 3.97/4.17 tff(17316,plain,
% 3.97/4.17 ((s(elem!1) = s(s(elem!1))) | r(s(elem!1), s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[1827, 21, 17315])).
% 3.97/4.17 tff(17317,plain,
% 3.97/4.17 (r(s(elem!1), s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17316, 7209])).
% 3.97/4.17 tff(17318,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[5397, 82, 1294, 17300, 17317])).
% 3.97/4.17 tff(17319,plain,((~r(z, elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (elem!1 = z) | (~r(elem!1, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17320,plain,
% 3.97/4.17 (~r(elem!1, s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17319, 17089, 234, 1294, 7031, 719, 17087, 7060, 197])).
% 3.97/4.17 tff(17321,plain,
% 3.97/4.17 (b(elem!1, s(s(elem!1)))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[321, 17320, 137])).
% 3.97/4.18 tff(17322,plain,
% 3.97/4.18 (~(s(z) = elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2590, 2582, 2588])).
% 3.97/4.18 tff(17323,plain,
% 3.97/4.18 (~(elem!1 = s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[696, 17322])).
% 3.97/4.18 tff(17324,plain,
% 3.97/4.18 ((elem!1 = s(z)) | b(elem!1, s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[817, 21, 813])).
% 3.97/4.18 tff(17325,plain,
% 3.97/4.18 (b(elem!1, s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17324, 17323])).
% 3.97/4.18 tff(17326,plain,
% 3.97/4.18 (b(s(z), elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[701, 17322, 176])).
% 3.97/4.18 tff(17327,plain,
% 3.97/4.18 (b(s(s(s(elem!1))), elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2162, 2582, 1271])).
% 3.97/4.18 tff(17328,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17329,plain,
% 3.97/4.18 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17330,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17329])).
% 3.97/4.18 tff(17331,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17330, 17328])).
% 3.97/4.18 tff(17332,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))),
% 3.97/4.18 inference(quant_inst,[status(thm)],[])).
% 3.97/4.18 tff(17333,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17332, 17331])).
% 3.97/4.18 tff(17334,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17333, 338, 17327, 762, 17326, 747, 17325, 1880])).
% 3.97/4.18 tff(17335,plain,(r(s(s(s(elem!1))), elem!1) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | r(elem!1, s(z)) | r(s(z), elem!1) | (~r(s(s(s(elem!1))), s(z))) | (s(s(s(elem!1))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17336,plain,
% 3.97/4.18 (~b(s(z), s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17335, 17321, 813, 17082, 17086, 176, 17091, 1271])).
% 3.97/4.18 tff(17337,plain,
% 3.97/4.18 (~r(s(z), s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[4215, 17091, 1294])).
% 3.97/4.18 tff(17338,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[743, 17337, 17336])).
% 3.97/4.18 tff(17339,plain,(b(z, s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | r(elem!1, s(z)) | r(s(z), elem!1) | (s(s(s(elem!1))) = elem!1) | (elem!1 = s(s(elem!1))) | (~r(z, elem!1)) | (elem!1 = z) | (~r(elem!1, z)) | (~r(s(z), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17340,plain,
% 3.97/4.18 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17339, 17078, 405, 555, 1271, 137, 176, 719, 813, 234, 802])).
% 3.97/4.18 tff(17341,plain,
% 3.97/4.18 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1292, 17340, 2180])).
% 3.97/4.18 tff(17342,plain,
% 3.97/4.18 (~r(s(s(elem!1)), elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[7117, 264, 235])).
% 3.97/4.18 tff(17343,plain,
% 3.97/4.18 (b(s(s(elem!1)), elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[327, 17342, 197])).
% 3.97/4.18 tff(17344,plain,
% 3.97/4.18 (~r(elem!1, s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2715, 264, 235])).
% 3.97/4.18 tff(17345,plain,
% 3.97/4.18 (b(elem!1, s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[321, 17344, 137])).
% 3.97/4.18 tff(17346,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[6395, 17345, 17343, 6386, 1929, 6387])).
% 3.97/4.18 tff(17347,plain,((~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17348,plain,
% 3.97/4.18 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17347, 235, 264, 6387, 137, 1929])).
% 3.97/4.18 tff(17349,plain,
% 3.97/4.18 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2619, 17348, 7060])).
% 3.97/4.18 tff(17350,plain,
% 3.97/4.18 (~r(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[6302, 17349, 264])).
% 3.97/4.18 tff(17351,plain,
% 3.97/4.18 (b(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1971, 17350, 218])).
% 3.97/4.18 tff(17352,plain,
% 3.97/4.18 (~r(s(z), elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[759, 234, 405])).
% 3.97/4.18 tff(17353,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2545, 82, 787, 721, 405])).
% 3.97/4.18 tff(17354,plain,((~r(s(s(elem!1)), z)) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17355,plain,
% 3.97/4.18 (~r(s(s(elem!1)), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17354, 405, 721])).
% 3.97/4.18 tff(17356,plain,
% 3.97/4.18 (b(s(s(elem!1)), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[800, 17355])).
% 3.97/4.18 tff(17357,plain,
% 3.97/4.18 (~r(elem!1, z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[811, 803, 405])).
% 3.97/4.18 tff(17358,plain,
% 3.97/4.18 (b(elem!1, z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[846, 17357, 719])).
% 3.97/4.18 tff(17359,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[9071, 82, 279, 721, 803])).
% 3.97/4.18 tff(17360,plain,((~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17361,plain,
% 3.97/4.18 (~r(elem!1, s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17360, 803, 721])).
% 3.97/4.18 tff(17362,plain,
% 3.97/4.18 (b(elem!1, s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[321, 17361, 137])).
% 3.97/4.18 tff(17363,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[14220, 338, 1131, 763, 762, 8722, 878])).
% 3.97/4.18 tff(17364,plain,((~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17365,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17364, 17362, 17358, 8722, 17356, 763])).
% 3.97/4.18 tff(17366,plain,((~r(elem!1, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (elem!1 = s(s(elem!1))) | (elem!1 = z) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17367,plain,
% 3.97/4.18 (~r(elem!1, s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17366, 763, 8722, 137, 719, 12172, 405])).
% 3.97/4.18 tff(17368,plain,
% 3.97/4.18 (~r(elem!1, s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2715, 235, 264])).
% 3.97/4.18 tff(17369,plain,
% 3.97/4.18 (b(elem!1, s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[321, 17368, 137])).
% 3.97/4.18 tff(17370,plain,
% 3.97/4.18 (~(s(z) = elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[13069, 17369, 12171])).
% 3.97/4.18 tff(17371,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17372,plain,
% 3.97/4.18 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17373,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1))))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17372])).
% 3.97/4.18 tff(17374,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17373, 17371])).
% 3.97/4.18 tff(17375,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 3.97/4.18 inference(quant_inst,[status(thm)],[])).
% 3.97/4.18 tff(17376,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17375, 17374])).
% 3.97/4.18 tff(17377,plain,
% 3.97/4.18 ((~b(s(s(s(elem!1))), z)) | (~b(s(z), elem!1))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17376, 338, 1929, 6387, 8722, 1880])).
% 3.97/4.18 tff(17378,plain,
% 3.97/4.18 (~b(s(s(s(elem!1))), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17377, 702])).
% 3.97/4.18 tff(17379,plain,
% 3.97/4.18 (r(s(s(s(elem!1))), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1387, 17378])).
% 3.97/4.18 tff(17380,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17381,plain,
% 3.97/4.18 (((~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17382,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17381])).
% 3.97/4.18 tff(17383,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17382, 17380])).
% 3.97/4.18 tff(17384,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(elem!1))))))),
% 3.97/4.18 inference(quant_inst,[status(thm)],[])).
% 3.97/4.18 tff(17385,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 3.97/4.18 tff(17386,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17385, 338, 1929, 706, 831, 1880, 5431])).
% 3.97/4.18 tff(17387,plain,((~b(elem!1, s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17388,plain,
% 3.97/4.18 (~b(s(s(s(elem!1))), s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17387, 16923, 1880, 1929, 702])).
% 3.97/4.18 tff(17389,plain,
% 3.97/4.18 (r(s(s(s(elem!1))), s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1990, 17388])).
% 3.97/4.18 tff(17390,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2599, 17389, 17379, 405])).
% 3.97/4.18 tff(17391,plain,((s(z) = elem!1) | (~r(s(z), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | r(elem!1, s(z)) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17392,plain,
% 3.97/4.18 (~b(s(z), s(s(s(elem!1))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17391, 17370, 405, 1929, 6387, 8722, 17367, 17352])).
% 3.97/4.18 tff(17393,plain,
% 3.97/4.18 (r(s(z), s(s(s(elem!1))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1870, 17392])).
% 3.97/4.18 tff(17394,plain,
% 3.97/4.18 (~r(z, s(s(s(elem!1))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[5440, 17393, 405])).
% 3.97/4.18 tff(17395,plain,
% 3.97/4.18 (b(z, s(s(s(elem!1))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1373, 17394])).
% 3.97/4.18 tff(17396,plain,
% 3.97/4.18 (~r(s(s(elem!1)), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17354, 405, 12172])).
% 3.97/4.18 tff(17397,plain,
% 3.97/4.18 (b(s(s(elem!1)), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[800, 17396])).
% 3.97/4.18 tff(17398,plain,
% 3.97/4.18 (~b(elem!1, z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17364, 17369, 8722, 17397, 763])).
% 3.97/4.18 tff(17399,plain,
% 3.97/4.18 (r(elem!1, z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[846, 17398, 719])).
% 3.97/4.18 tff(17400,plain,
% 3.97/4.18 (~r(s(elem!1), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[5187, 17399, 235])).
% 3.97/4.18 tff(17401,plain,
% 3.97/4.18 (b(s(elem!1), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1812, 17400])).
% 3.97/4.18 tff(17402,plain,
% 3.97/4.18 (~r(s(s(s(elem!1))), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[11137, 17393, 405])).
% 3.97/4.18 tff(17403,plain,
% 3.97/4.18 (b(s(s(s(elem!1))), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1387, 17402])).
% 3.97/4.18 tff(17404,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1804, 17403, 17401, 5347, 17395, 17351])).
% 3.97/4.18 tff(17405,plain,((~r(elem!1, s(elem!1))) | (~r(s(z), z)) | (elem!1 = z) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | b(s(z), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17406,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17405, 17341, 17080, 8722, 405, 719, 17044, 16954, 17046, 17038, 137, 234])).
% 3.97/4.18 tff(17407,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~r(s(z), z)) | (elem!1 = z) | (elem!1 = s(s(elem!1))) | (~r(z, elem!1)) | b(elem!1, z) | (~b(z, s(s(s(s(z)))))) | (s(s(s(elem!1))) = elem!1) | r(s(z), elem!1) | r(elem!1, s(z)) | (~r(elem!1, z)) | (~b(s(elem!1), z)) | (s(z) = elem!1) | (elem!1 = s(s(s(elem!1)))) | (~(s(s(s(z))) = elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17408,plain,
% 3.97/4.18 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17407, 17037, 27, 8722, 137, 16932, 17036, 17033, 17032, 176, 16936, 17030, 17028, 691, 17026, 16939, 438, 16935, 6879, 370])).
% 3.97/4.18 tff(17409,plain,
% 3.97/4.18 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[689, 17408])).
% 3.97/4.18 tff(17410,plain,
% 3.97/4.18 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[673, 17409, 164, 27, 175, 136])).
% 3.97/4.18 tff(17411,plain,
% 3.97/4.18 (r(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[68, 17410])).
% 3.97/4.18 tff(17412,plain,
% 3.97/4.18 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(elem!1))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[16940])).
% 3.97/4.18 tff(17413,plain,
% 3.97/4.18 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[16939])).
% 3.97/4.18 tff(17414,plain,
% 3.97/4.18 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(elem!1))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17413, 17412])).
% 3.97/4.18 tff(17415,plain,
% 3.97/4.18 (b(elem!1, s(elem!1))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17409, 17414])).
% 3.97/4.18 tff(17416,plain,
% 3.97/4.18 (~b(s(elem!1), s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[9859, 17415, 16930, 16937, 17018])).
% 3.97/4.18 tff(17417,plain,
% 3.97/4.18 (b(s(elem!1), s(z))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[2911, 16990])).
% 3.97/4.18 tff(17418,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2065, 17417])).
% 3.97/4.18 tff(17419,plain,((~b(s(s(s(s(z)))), s(z))) | b(s(elem!1), s(z)) | (~(s(s(s(z))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17420,plain,
% 3.97/4.18 (~b(s(s(s(s(z)))), s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17419, 17416, 16939])).
% 3.97/4.18 tff(17421,plain,
% 3.97/4.18 (r(s(s(s(s(z)))), s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[119, 17420])).
% 3.97/4.18 tff(17422,plain,
% 3.97/4.18 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1463, 17421, 438, 16935, 17411])).
% 3.97/4.18 tff(17423,plain,
% 3.97/4.18 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[1011, 17422])).
% 3.97/4.18 tff(17424,plain,
% 3.97/4.18 (b(s(elem!1), elem!1)),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17423, 17021])).
% 3.97/4.18 tff(17425,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17426,plain,
% 3.97/4.18 (((~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1)))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17427,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1)))))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17426])).
% 3.97/4.18 tff(17428,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17427, 17425])).
% 3.97/4.18 tff(17429,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 3.97/4.18 inference(quant_inst,[status(thm)],[])).
% 3.97/4.18 tff(17430,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1)))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 3.97/4.18 tff(17431,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17430, 338, 17415, 17424, 16930, 16937, 17018])).
% 3.97/4.18 tff(17432,plain,(r(s(z), elem!1) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (s(z) = elem!1) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | b(s(s(s(z))), z) | (~r(z, s(z))) | b(z, elem!1) | b(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17433,plain,
% 3.97/4.18 (r(s(z), elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17432, 16929, 175, 8722, 137, 691, 6879, 164, 129, 1731, 177, 1])).
% 3.97/4.18 tff(17434,plain,
% 3.97/4.18 (~r(z, elem!1)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[759, 17433, 27])).
% 3.97/4.18 tff(17435,plain,
% 3.97/4.18 (z = elem!1),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[353, 17434, 177])).
% 3.97/4.18 tff(17436,plain,
% 3.97/4.18 (s(z) = s(elem!1)),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.18 tff(17437,plain,
% 3.97/4.18 (s(s(z)) = s(s(elem!1))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17436])).
% 3.97/4.18 tff(17438,plain,
% 3.97/4.18 (s(s(s(z))) = s(s(s(elem!1)))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17437])).
% 3.97/4.18 tff(17439,plain,
% 3.97/4.18 (s(s(s(elem!1))) = s(s(s(z)))),
% 3.97/4.18 inference(symmetry,[status(thm)],[17438])).
% 3.97/4.18 tff(17440,plain,
% 3.97/4.18 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17439])).
% 3.97/4.18 tff(17441,plain,
% 3.97/4.18 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 3.97/4.18 inference(symmetry,[status(thm)],[17440])).
% 3.97/4.18 tff(17442,plain,
% 3.97/4.18 (b(z, s(s(z))) <=> b(elem!1, s(s(z)))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.18 tff(17443,plain,
% 3.97/4.18 (b(elem!1, s(s(z))) <=> b(z, s(s(z)))),
% 3.97/4.18 inference(symmetry,[status(thm)],[17442])).
% 3.97/4.18 tff(17444,plain,
% 3.97/4.18 (b(elem!1, s(s(z))) <=> b(elem!1, s(s(elem!1)))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17437])).
% 3.97/4.18 tff(17445,plain,
% 3.97/4.18 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(z)))),
% 3.97/4.18 inference(symmetry,[status(thm)],[17444])).
% 3.97/4.18 tff(17446,plain,
% 3.97/4.18 (b(elem!1, s(s(elem!1))) <=> b(z, s(s(z)))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17445, 17443])).
% 3.97/4.18 tff(17447,plain,
% 3.97/4.18 (elem!1 = z),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2752, 17435])).
% 3.97/4.18 tff(17448,plain,
% 3.97/4.18 (b(elem!1, s(s(elem!1)))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[9178, 17447, 8722])).
% 3.97/4.18 tff(17449,plain,
% 3.97/4.18 (b(z, s(s(z)))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17448, 17446])).
% 3.97/4.18 tff(17450,plain,
% 3.97/4.18 (b(s(s(z)), z) <=> b(s(s(z)), elem!1)),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.18 tff(17451,plain,
% 3.97/4.18 (b(s(s(z)), elem!1) <=> b(s(s(z)), z)),
% 3.97/4.18 inference(symmetry,[status(thm)],[17450])).
% 3.97/4.18 tff(17452,plain,
% 3.97/4.18 (b(s(s(z)), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17437])).
% 3.97/4.18 tff(17453,plain,
% 3.97/4.18 (b(s(s(elem!1)), elem!1) <=> b(s(s(z)), elem!1)),
% 3.97/4.18 inference(symmetry,[status(thm)],[17452])).
% 3.97/4.18 tff(17454,plain,
% 3.97/4.18 (b(s(s(elem!1)), elem!1) <=> b(s(s(z)), z)),
% 3.97/4.18 inference(transitivity,[status(thm)],[17453, 17451])).
% 3.97/4.18 tff(17455,plain,
% 3.97/4.18 (r(z, s(elem!1)) <=> r(elem!1, s(elem!1))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.18 tff(17456,plain,
% 3.97/4.18 (r(elem!1, s(elem!1)) <=> r(z, s(elem!1))),
% 3.97/4.18 inference(symmetry,[status(thm)],[17455])).
% 3.97/4.18 tff(17457,plain,
% 3.97/4.18 (r(elem!1, s(z)) <=> r(elem!1, s(elem!1))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17436])).
% 3.97/4.18 tff(17458,plain,
% 3.97/4.18 (r(elem!1, s(z)) <=> r(z, s(elem!1))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17457, 17456])).
% 3.97/4.18 tff(17459,plain,
% 3.97/4.18 (r(z, s(z)) <=> r(elem!1, s(z))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.18 tff(17460,plain,
% 3.97/4.18 (r(elem!1, s(z))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[1731, 17459])).
% 3.97/4.18 tff(17461,plain,
% 3.97/4.18 (r(z, s(elem!1))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17460, 17458])).
% 3.97/4.18 tff(17462,plain,
% 3.97/4.19 (r(s(s(s(elem!1))), z) <=> r(s(s(s(elem!1))), elem!1)),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.19 tff(17463,plain,
% 3.97/4.19 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(elem!1))), z)),
% 3.97/4.19 inference(symmetry,[status(thm)],[17462])).
% 3.97/4.19 tff(17464,plain,
% 3.97/4.19 (r(s(s(s(z))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17438])).
% 3.97/4.19 tff(17465,plain,
% 3.97/4.19 (r(s(s(s(z))), elem!1) <=> r(s(s(s(elem!1))), z)),
% 3.97/4.19 inference(transitivity,[status(thm)],[17464, 17463])).
% 3.97/4.19 tff(17466,plain,
% 3.97/4.19 (r(s(s(s(z))), z) <=> r(s(s(s(z))), elem!1)),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.19 tff(17467,plain,
% 3.97/4.19 (r(s(s(s(z))), elem!1)),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[136, 17466])).
% 3.97/4.19 tff(17468,plain,
% 3.97/4.19 (r(s(s(s(elem!1))), z)),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17467, 17465])).
% 3.97/4.19 tff(17469,plain,
% 3.97/4.19 (b(s(s(s(z))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17438])).
% 3.97/4.19 tff(17470,plain,
% 3.97/4.19 ((~b(s(s(s(z))), elem!1)) <=> (~b(s(s(s(elem!1))), elem!1))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17469])).
% 3.97/4.19 tff(17471,plain,
% 3.97/4.19 (b(s(s(s(z))), z) <=> b(s(s(s(z))), elem!1)),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.19 tff(17472,plain,
% 3.97/4.19 ((~b(s(s(s(z))), z)) <=> (~b(s(s(s(z))), elem!1))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17471])).
% 3.97/4.19 tff(17473,plain,
% 3.97/4.19 (~b(s(s(s(z))), elem!1)),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[129, 17472])).
% 3.97/4.19 tff(17474,plain,
% 3.97/4.19 (~b(s(s(s(elem!1))), elem!1)),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17473, 17470])).
% 3.97/4.19 tff(17475,plain,
% 3.97/4.19 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17436])).
% 3.97/4.19 tff(17476,plain,
% 3.97/4.19 ((~b(s(z), elem!1)) <=> (~b(s(elem!1), elem!1))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17475])).
% 3.97/4.19 tff(17477,plain,
% 3.97/4.19 (~b(s(z), elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[709, 17435, 1])).
% 3.97/4.19 tff(17478,plain,
% 3.97/4.19 (~b(s(elem!1), elem!1)),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17477, 17476])).
% 3.97/4.19 tff(17479,plain,
% 3.97/4.19 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(s(s(elem!1))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17438])).
% 3.97/4.19 tff(17480,plain,
% 3.97/4.19 (r(z, s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.19 tff(17481,plain,
% 3.97/4.19 (r(elem!1, s(s(s(z))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[164, 17480])).
% 3.97/4.19 tff(17482,plain,
% 3.97/4.19 (r(elem!1, s(s(s(elem!1))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17481, 17479])).
% 3.97/4.19 tff(17483,plain,
% 3.97/4.19 (~r(s(s(elem!1)), z)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[9012, 17482, 2180, 17478, 17474, 17468, 17461])).
% 3.97/4.19 tff(17484,plain,
% 3.97/4.19 (b(s(s(elem!1)), z)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[800, 17483])).
% 3.97/4.19 tff(17485,plain,
% 3.97/4.19 ((~b(z, elem!1)) <=> (~b(z, s(s(elem!1))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[1894])).
% 3.97/4.19 tff(17486,plain,
% 3.97/4.19 (~b(z, s(s(elem!1)))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[177, 17485])).
% 3.97/4.19 tff(17487,plain,
% 3.97/4.19 ($false),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[8722, 17486])).
% 3.97/4.19 tff(17488,plain,((~(s(s(elem!1)) = elem!1)) | (~b(z, s(s(elem!1)))) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.19 tff(17489,plain,
% 3.97/4.19 (~(s(s(elem!1)) = elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17488, 177, 8722])).
% 3.97/4.19 tff(17490,plain,
% 3.97/4.19 (r(s(s(elem!1)), elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[327, 3306, 17489])).
% 3.97/4.19 tff(17491,plain,
% 3.97/4.19 (~r(z, elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17203, 17490, 878, 754, 8722])).
% 3.97/4.19 tff(17492,plain,
% 3.97/4.19 (~(elem!1 = z)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[5940, 3306, 878])).
% 3.97/4.19 tff(17493,plain,
% 3.97/4.19 (~(z = elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[2752, 17492])).
% 3.97/4.19 tff(17494,plain,
% 3.97/4.19 ($false),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[353, 17493, 17491, 177])).
% 3.97/4.19 tff(17495,plain,(b(s(s(elem!1)), elem!1) | b(z, elem!1) | (~b(s(s(elem!1)), z)) | (~r(s(z), elem!1)) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.19 tff(17496,plain,
% 3.97/4.19 (b(s(s(elem!1)), elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17495, 17484, 8722, 177, 17433])).
% 3.97/4.19 tff(17497,plain,
% 3.97/4.19 (b(s(s(z)), z)),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17496, 17454])).
% 3.97/4.19 tff(17498,plain,
% 3.97/4.19 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[2496, 17497, 175, 17033, 17449])).
% 3.97/4.19 tff(17499,plain,
% 3.97/4.19 (r(s(s(s(s(z)))), s(s(z)))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[68, 17498])).
% 3.97/4.19 tff(17500,plain,
% 3.97/4.19 (r(s(z), elem!1) <=> r(s(elem!1), elem!1)),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17436])).
% 3.97/4.19 tff(17501,plain,
% 3.97/4.19 (r(s(elem!1), elem!1)),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17433, 17500])).
% 3.97/4.19 tff(17502,plain,
% 3.97/4.19 (r(s(s(z)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17437])).
% 3.97/4.19 tff(17503,plain,
% 3.97/4.19 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(z)), s(s(s(s(z)))))),
% 3.97/4.19 inference(symmetry,[status(thm)],[17502])).
% 3.97/4.19 tff(17504,plain,
% 3.97/4.19 (r(s(s(z)), s(s(s(s(z)))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[16929, 17503])).
% 3.97/4.19 tff(17505,plain,
% 3.97/4.19 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17438])).
% 3.97/4.19 tff(17506,plain,
% 3.97/4.19 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 3.97/4.19 inference(symmetry,[status(thm)],[17505])).
% 3.97/4.19 tff(17507,plain,
% 3.97/4.19 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17506])).
% 3.97/4.19 tff(17508,plain,
% 3.97/4.19 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(symmetry,[status(thm)],[17507])).
% 3.97/4.19 tff(17509,plain,
% 3.97/4.19 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[16929, 17508])).
% 3.97/4.19 tff(17510,plain,
% 3.97/4.19 (~r(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[4520, 17447, 16934])).
% 3.97/4.19 tff(17511,plain,
% 3.97/4.19 (b(s(elem!1), s(s(s(elem!1))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[1515, 17510, 210])).
% 3.97/4.19 tff(17512,plain,
% 3.97/4.19 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17505])).
% 3.97/4.19 tff(17513,plain,
% 3.97/4.19 (b(z, s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17435])).
% 3.97/4.19 tff(17514,plain,
% 3.97/4.19 (b(elem!1, s(s(s(s(z)))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17033, 17513])).
% 3.97/4.19 tff(17515,plain,
% 3.97/4.19 (b(elem!1, s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17514, 17512])).
% 3.97/4.19 tff(17516,plain,
% 3.97/4.19 ((s(z) = s(s(s(s(elem!1))))) <=> (s(elem!1) = s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[2806])).
% 3.97/4.19 tff(17517,plain,
% 3.97/4.19 ((s(z) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = s(elem!1))),
% 3.97/4.19 inference(transitivity,[status(thm)],[17516, 1535])).
% 3.97/4.19 tff(17518,plain,
% 3.97/4.19 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(s(s(s(s(elem!1)))) = s(elem!1)))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17517])).
% 3.97/4.19 tff(17519,plain,
% 3.97/4.19 (~(s(s(s(s(elem!1)))) = s(elem!1))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[2125, 17518])).
% 3.97/4.19 tff(17520,plain,
% 3.97/4.19 (b(s(s(s(z))), s(elem!1))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[458, 5734])).
% 3.97/4.19 tff(17521,plain,
% 3.97/4.19 (b(s(s(s(elem!1))), s(elem!1))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17520, 5736])).
% 3.97/4.19 tff(17522,plain,
% 3.97/4.19 ((s(elem!1) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 3.97/4.19 inference(commutativity,[status(thm)],[])).
% 3.97/4.19 tff(17523,plain,
% 3.97/4.19 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[2806])).
% 3.97/4.19 tff(17524,plain,
% 3.97/4.19 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 3.97/4.19 inference(transitivity,[status(thm)],[17523, 17522])).
% 3.97/4.19 tff(17525,plain,
% 3.97/4.19 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1)))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17524])).
% 3.97/4.19 tff(17526,plain,
% 3.97/4.19 (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[6121, 17525])).
% 3.97/4.19 tff(17527,plain,
% 3.97/4.19 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[2822])).
% 3.97/4.19 tff(17528,plain,
% 3.97/4.19 (r(s(z), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[2806])).
% 3.97/4.19 tff(17529,plain,
% 3.97/4.19 (r(s(z), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(transitivity,[status(thm)],[17528, 17527])).
% 3.97/4.19 tff(17530,plain,
% 3.97/4.19 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[72, 17529])).
% 3.97/4.19 tff(17531,plain,
% 3.97/4.19 ((s(s(s(s(s(s(elem!1)))))) = s(elem!1)) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(symmetry,[status(thm)],[17522])).
% 3.97/4.19 tff(17532,plain,
% 3.97/4.19 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(transitivity,[status(thm)],[17524, 17531])).
% 3.97/4.19 tff(17533,plain,
% 3.97/4.19 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(elem!1) = s(s(s(s(s(s(elem!1))))))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17532])).
% 3.97/4.19 tff(17534,plain,
% 3.97/4.19 (~(s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[6121, 17533])).
% 3.97/4.19 tff(17535,plain,
% 3.97/4.19 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(s(elem!1) = s(s(s(s(elem!1))))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17516])).
% 3.97/4.19 tff(17536,plain,
% 3.97/4.19 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[2125, 17535])).
% 3.97/4.19 tff(17537,plain,
% 3.97/4.19 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[5699, 17536])).
% 3.97/4.19 tff(17538,plain,
% 3.97/4.19 (~b(s(s(z)), s(s(s(z))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[593, 72, 458, 457, 575])).
% 3.97/4.19 tff(17539,plain,
% 3.97/4.19 (r(s(s(z)), s(s(s(z))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[534, 17538])).
% 3.97/4.19 tff(17540,plain,
% 3.97/4.19 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[7335, 17539, 4476])).
% 3.97/4.19 tff(17541,assumption,(~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))), introduced(assumption)).
% 3.97/4.19 tff(17542,plain,
% 3.97/4.19 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6063, 6059, 17541])).
% 3.97/4.19 tff(17543,plain,
% 3.97/4.19 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[8006, 82, 1950, 5994])).
% 3.97/4.19 tff(17544,plain,
% 3.97/4.19 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6151, 17543, 6170])).
% 3.97/4.19 tff(17545,plain,
% 3.97/4.19 (~r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[8015, 82, 1950, 5994])).
% 3.97/4.19 tff(17546,plain,
% 3.97/4.19 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6185, 17545, 6171])).
% 3.97/4.19 tff(17547,plain,
% 3.97/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17548,plain,
% 3.97/4.19 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17549,plain,
% 3.97/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17548])).
% 3.97/4.19 tff(17550,plain,
% 3.97/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.97/4.19 inference(transitivity,[status(thm)],[17549, 17547])).
% 3.97/4.19 tff(17551,plain,
% 3.97/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.97/4.19 inference(quant_inst,[status(thm)],[])).
% 3.97/4.19 tff(17552,plain,
% 3.97/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17551, 17550])).
% 3.97/4.19 tff(17553,plain,
% 3.97/4.19 ($false),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17552, 338, 763, 762, 17546, 17544, 17542])).
% 3.97/4.19 tff(17554,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.19 tff(17555,plain,
% 3.97/4.19 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17554, 17540, 6168, 6052, 762, 5930, 763, 1950])).
% 3.97/4.19 tff(17556,assumption,(~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))), introduced(assumption)).
% 3.97/4.19 tff(17557,plain,
% 3.97/4.19 ($false),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6076, 21, 7991, 5711, 17556])).
% 3.97/4.19 tff(17558,plain,(r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.19 tff(17559,plain,
% 3.97/4.19 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17558, 17555, 17537])).
% 3.97/4.19 tff(17560,plain,
% 3.97/4.19 ((s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(commutativity,[status(thm)],[])).
% 3.97/4.19 tff(17561,plain,
% 3.97/4.19 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(symmetry,[status(thm)],[17560])).
% 3.97/4.19 tff(17562,plain,
% 3.97/4.19 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[2822])).
% 3.97/4.19 tff(17563,plain,
% 3.97/4.19 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(transitivity,[status(thm)],[17562, 17561])).
% 3.97/4.19 tff(17564,plain,
% 3.97/4.19 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17563])).
% 3.97/4.19 tff(17565,plain,
% 3.97/4.19 (~(s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[3187, 17564])).
% 3.97/4.19 tff(17566,plain,
% 3.97/4.19 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6146, 17559, 703, 1564, 17521, 295])).
% 3.97/4.19 tff(17567,plain,
% 3.97/4.19 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6151, 17566, 5930])).
% 3.97/4.19 tff(17568,plain,
% 3.97/4.19 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[2275, 17540, 2267])).
% 3.97/4.19 tff(17569,plain,
% 3.97/4.19 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[1562, 17568, 12249])).
% 3.97/4.19 tff(17570,plain,
% 3.97/4.19 (~r(s(z), s(s(z)))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[90, 72, 71])).
% 3.97/4.19 tff(17571,plain,
% 3.97/4.19 (b(s(z), s(s(z)))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[455, 17570])).
% 3.97/4.19 tff(17572,plain,
% 3.97/4.19 (b(s(elem!1), s(s(elem!1)))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17571, 5788])).
% 3.97/4.19 tff(17573,plain,
% 3.97/4.19 (~r(s(s(elem!1)), s(elem!1))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[7867, 82, 2267, 17530])).
% 3.97/4.19 tff(17574,plain,
% 3.97/4.19 (b(s(s(elem!1)), s(elem!1))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[277, 17573, 229])).
% 3.97/4.19 tff(17575,plain,
% 3.97/4.19 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6031, 6029, 703])).
% 3.97/4.19 tff(17576,plain,
% 3.97/4.19 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6024, 17575])).
% 3.97/4.19 tff(17577,plain,
% 3.97/4.19 (~r(s(s(z)), s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[9505, 17576, 575])).
% 3.97/4.19 tff(17578,plain,
% 3.97/4.19 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[9476, 17577, 4476])).
% 3.97/4.19 tff(17579,plain,
% 3.97/4.19 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6226, 17578, 6044])).
% 3.97/4.19 tff(17580,plain,
% 3.97/4.19 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17562])).
% 3.97/4.19 tff(17581,plain,
% 3.97/4.19 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[3187, 17580])).
% 3.97/4.19 tff(17582,plain,
% 3.97/4.19 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17583,plain,
% 3.97/4.19 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 3.97/4.19 inference(quant_inst,[status(thm)],[])).
% 3.97/4.19 tff(17584,plain,
% 3.97/4.19 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17583, 17582])).
% 3.97/4.19 tff(17585,plain,
% 3.97/4.19 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) | b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) | r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17584, 21])).
% 3.97/4.19 tff(17586,plain,
% 3.97/4.19 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17585, 6029, 17581])).
% 3.97/4.19 tff(17587,plain,
% 3.97/4.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17588,plain,
% 3.97/4.19 (((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))) <=> ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17589,plain,
% 3.97/4.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17588])).
% 3.97/4.19 tff(17590,plain,
% 3.97/4.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 3.97/4.19 inference(transitivity,[status(thm)],[17589, 17587])).
% 3.97/4.19 tff(17591,plain,
% 3.97/4.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 3.97/4.19 inference(quant_inst,[status(thm)],[])).
% 3.97/4.19 tff(17592,plain,
% 3.97/4.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17591, 17590])).
% 3.97/4.19 tff(17593,plain,
% 3.97/4.19 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17592, 82, 2267, 17586])).
% 3.97/4.19 tff(17594,plain,
% 3.97/4.19 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[6063, 17593, 6052])).
% 3.97/4.19 tff(17595,plain,
% 3.97/4.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17596,plain,
% 3.97/4.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.97/4.19 inference(quant_inst,[status(thm)],[])).
% 3.97/4.19 tff(17597,plain,
% 3.97/4.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17596, 17595])).
% 3.97/4.19 tff(17598,plain,
% 3.97/4.19 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17597, 82, 11672, 17586])).
% 3.97/4.19 tff(17599,plain,
% 3.97/4.19 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) | r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) | r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17600,plain,
% 3.97/4.19 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) | r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.97/4.19 inference(quant_inst,[status(thm)],[])).
% 3.97/4.19 tff(17601,plain,
% 3.97/4.19 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) | r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17600, 17599])).
% 3.97/4.19 tff(17602,plain,
% 3.97/4.19 ((s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) | r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17601, 21])).
% 3.97/4.19 tff(17603,plain,
% 3.97/4.19 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17602, 17598, 17526])).
% 3.97/4.19 tff(17604,plain,
% 3.97/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17605,plain,
% 3.97/4.19 (((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))) <=> ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.19 tff(17606,plain,
% 3.97/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 3.97/4.19 inference(monotonicity,[status(thm)],[17605])).
% 3.97/4.19 tff(17607,plain,
% 3.97/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.97/4.19 inference(transitivity,[status(thm)],[17606, 17604])).
% 3.97/4.19 tff(17608,plain,
% 3.97/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 3.97/4.19 inference(quant_inst,[status(thm)],[])).
% 3.97/4.19 tff(17609,plain,
% 3.97/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 3.97/4.19 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 3.97/4.19 tff(17610,plain,
% 3.97/4.19 ($false),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17609, 338, 316, 1620, 6210, 6229, 8019])).
% 3.97/4.19 tff(17611,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.19 tff(17612,plain,
% 3.97/4.19 ($false),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17611, 17603, 17594, 316, 1620, 17579])).
% 3.97/4.19 tff(17613,plain,(b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.19 tff(17614,plain,
% 3.97/4.19 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17613, 17574, 17572, 17530, 2267, 575, 703])).
% 3.97/4.19 tff(17615,assumption,(b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 3.97/4.19 tff(17616,plain,
% 3.97/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.97/4.19 inference(rewrite,[status(thm)],[])).
% 3.97/4.20 tff(17617,plain,
% 3.97/4.20 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.97/4.20 inference(rewrite,[status(thm)],[])).
% 3.97/4.20 tff(17618,plain,
% 3.97/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 3.97/4.20 inference(monotonicity,[status(thm)],[17617])).
% 3.97/4.20 tff(17619,plain,
% 3.97/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.97/4.20 inference(transitivity,[status(thm)],[17618, 17616])).
% 3.97/4.20 tff(17620,plain,
% 3.97/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 3.97/4.20 inference(quant_inst,[status(thm)],[])).
% 3.97/4.20 tff(17621,plain,
% 3.97/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 3.97/4.20 inference(modus_ponens,[status(thm)],[17620, 17619])).
% 3.97/4.20 tff(17622,plain,
% 3.97/4.20 ($false),
% 3.97/4.20 inference(unit_resolution,[status(thm)],[17621, 338, 2303, 2208, 6187, 6138, 6228, 17615])).
% 3.97/4.20 tff(17623,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.20 tff(17624,plain,
% 3.97/4.20 (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 3.97/4.20 inference(unit_resolution,[status(thm)],[17623, 17614, 17569, 17567, 17559, 2303])).
% 3.97/4.20 tff(17625,plain,
% 3.97/4.20 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17626,plain,
% 4.04/4.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(17627,plain,
% 4.04/4.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17626, 17625])).
% 4.04/4.20 tff(17628,plain,
% 4.04/4.20 ((s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))) | b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))) | r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17627, 21])).
% 4.04/4.20 tff(17629,plain,
% 4.04/4.20 (r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17628, 17624, 17565])).
% 4.04/4.20 tff(17630,assumption,(~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))), introduced(assumption)).
% 4.04/4.20 tff(17631,assumption,(r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 4.04/4.20 tff(17632,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[8040, 82, 7812, 8034, 17631])).
% 4.04/4.20 tff(17633,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(17634,plain,
% 4.04/4.20 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17633, 17631, 7812])).
% 4.04/4.20 tff(17635,plain,
% 4.04/4.20 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17602, 17634, 17630])).
% 4.04/4.20 tff(17636,assumption,(~(s(elem!1) = s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 4.04/4.20 tff(17637,assumption,(r(s(elem!1), s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 4.04/4.20 tff(17638,plain,
% 4.04/4.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17639,plain,
% 4.04/4.20 (((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(elem!1))))))) <=> ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17640,plain,
% 4.04/4.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[17639])).
% 4.04/4.20 tff(17641,plain,
% 4.04/4.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[17640, 17638])).
% 4.04/4.20 tff(17642,plain,
% 4.04/4.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(17643,plain,
% 4.04/4.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17642, 17641])).
% 4.04/4.20 tff(17644,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17643, 82, 11672, 17637, 17631])).
% 4.04/4.20 tff(17645,plain,((~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(17646,plain,
% 4.04/4.20 (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17645, 17631, 11672])).
% 4.04/4.20 tff(17647,plain,
% 4.04/4.20 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(s(s(elem!1))))))) | b(s(elem!1), s(s(s(s(s(s(elem!1))))))) | r(s(elem!1), s(s(s(s(s(s(elem!1))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(s(s(elem!1))))))) | b(s(elem!1), s(s(s(s(s(s(elem!1))))))) | r(s(elem!1), s(s(s(s(s(s(elem!1))))))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17648,plain,
% 4.04/4.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(s(s(elem!1))))))) | b(s(elem!1), s(s(s(s(s(s(elem!1))))))) | r(s(elem!1), s(s(s(s(s(s(elem!1))))))))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(17649,plain,
% 4.04/4.20 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(s(s(elem!1))))))) | b(s(elem!1), s(s(s(s(s(s(elem!1))))))) | r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17648, 17647])).
% 4.04/4.20 tff(17650,plain,
% 4.04/4.20 ((s(elem!1) = s(s(s(s(s(s(elem!1))))))) | b(s(elem!1), s(s(s(s(s(s(elem!1))))))) | r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17649, 21])).
% 4.04/4.20 tff(17651,plain,
% 4.04/4.20 (b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17650, 17646, 17636])).
% 4.04/4.20 tff(17652,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[6144, 338, 1500, 1564, 6138, 17651, 17635])).
% 4.04/4.20 tff(17653,plain,((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(s(s(s(elem!1))))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | (~r(s(s(s(s(elem!1)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(17654,plain,
% 4.04/4.20 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17653, 17629, 1564, 17559, 17534, 17530, 17526, 17521])).
% 4.04/4.20 tff(17655,plain,
% 4.04/4.20 ((s(s(s(s(elem!1)))) = s(elem!1)) | b(s(s(s(s(elem!1)))), s(elem!1)) | r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[1545, 21])).
% 4.04/4.20 tff(17656,plain,
% 4.04/4.20 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17655, 17654, 17519])).
% 4.04/4.20 tff(17657,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17658,plain,
% 4.04/4.20 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17659,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[17658])).
% 4.04/4.20 tff(17660,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.04/4.20 inference(transitivity,[status(thm)],[17659, 17657])).
% 4.04/4.20 tff(17661,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(17662,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17661, 17660])).
% 4.04/4.20 tff(17663,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17662, 338, 2303, 1564, 17569, 17567, 17614, 17656])).
% 4.04/4.20 tff(17664,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~(z = elem!1)) | (s(s(elem!1)) = s(elem!1)) | (~r(s(elem!1), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(17665,plain,
% 4.04/4.20 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17664, 17515, 17511, 17509, 17504, 17435, 225, 17501, 17448, 17496, 17482, 438, 16935, 17499])).
% 4.04/4.20 tff(17666,plain,
% 4.04/4.20 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[106, 17665])).
% 4.04/4.20 tff(17667,plain,
% 4.04/4.20 (~(s(s(s(z))) = s(elem!1))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[10692, 16928])).
% 4.04/4.20 tff(17668,plain,
% 4.04/4.20 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[4794, 17667])).
% 4.04/4.20 tff(17669,plain,
% 4.04/4.20 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[8821, 17484, 175, 8722, 17033])).
% 4.04/4.20 tff(17670,plain,
% 4.04/4.20 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[10478, 17669, 17668])).
% 4.04/4.20 tff(17671,plain,
% 4.04/4.20 (r(s(s(s(elem!1))), elem!1)),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17467, 17464])).
% 4.04/4.20 tff(17672,plain,
% 4.04/4.20 (b(s(z), s(s(s(elem!1)))) <=> b(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[17436])).
% 4.04/4.20 tff(17673,plain,
% 4.04/4.20 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(z), s(s(s(elem!1))))),
% 4.04/4.20 inference(symmetry,[status(thm)],[17672])).
% 4.04/4.20 tff(17674,plain,
% 4.04/4.20 (b(s(z), s(s(s(elem!1))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17511, 17673])).
% 4.04/4.20 tff(17675,plain,
% 4.04/4.20 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[1463, 108, 458, 457, 71])).
% 4.04/4.20 tff(17676,plain,
% 4.04/4.20 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[1011, 17675])).
% 4.04/4.20 tff(17677,plain,
% 4.04/4.20 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17676, 2828])).
% 4.04/4.20 tff(17678,plain,
% 4.04/4.20 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(z))),
% 4.04/4.20 inference(symmetry,[status(thm)],[5714])).
% 4.04/4.20 tff(17679,plain,
% 4.04/4.20 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(s(elem!1))), s(z))),
% 4.04/4.20 inference(transitivity,[status(thm)],[5736, 17678])).
% 4.04/4.20 tff(17680,plain,
% 4.04/4.20 (b(s(s(s(elem!1))), s(z))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17520, 17679])).
% 4.04/4.20 tff(17681,plain,
% 4.04/4.20 (~r(s(s(elem!1)), s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[2354, 108, 370])).
% 4.04/4.20 tff(17682,plain,
% 4.04/4.20 (b(s(s(elem!1)), s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[784, 17681])).
% 4.04/4.20 tff(17683,plain,
% 4.04/4.20 (~r(s(z), s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[15263, 108, 10491])).
% 4.04/4.20 tff(17684,plain,
% 4.04/4.20 (b(s(z), s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[743, 17683])).
% 4.04/4.20 tff(17685,plain,
% 4.04/4.20 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[10565, 17684, 754, 1269, 17682])).
% 4.04/4.20 tff(17686,plain,
% 4.04/4.20 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[1292, 17685, 1327])).
% 4.04/4.20 tff(17687,plain,
% 4.04/4.20 (~r(s(z), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[113, 108, 71])).
% 4.04/4.20 tff(17688,plain,
% 4.04/4.20 (b(s(z), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[455, 17687])).
% 4.04/4.20 tff(17689,plain,
% 4.04/4.20 (~r(s(s(z)), s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[464, 108, 71])).
% 4.04/4.20 tff(17690,plain,
% 4.04/4.20 (b(s(s(z)), s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[472, 17689])).
% 4.04/4.20 tff(17691,plain,
% 4.04/4.20 (~b(s(s(z)), s(s(s(z))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[484, 17690, 458, 457, 17688])).
% 4.04/4.20 tff(17692,plain,
% 4.04/4.20 (r(s(s(z)), s(s(s(z))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[534, 17691])).
% 4.04/4.20 tff(17693,plain,
% 4.04/4.20 (r(s(s(s(elem!1))), s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[2822])).
% 4.04/4.20 tff(17694,plain,
% 4.04/4.20 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.04/4.20 inference(symmetry,[status(thm)],[17693])).
% 4.04/4.20 tff(17695,plain,
% 4.04/4.20 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[17694, 5751])).
% 4.04/4.20 tff(17696,plain,
% 4.04/4.20 ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) <=> (~r(s(s(s(z))), s(s(s(s(z))))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[17695])).
% 4.04/4.20 tff(17697,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17698,plain,
% 4.04/4.20 (((~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))) <=> ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17699,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[17698])).
% 4.04/4.20 tff(17700,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[17699, 17697])).
% 4.04/4.20 tff(17701,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(17702,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 4.04/4.20 tff(17703,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17702, 338, 1880, 5431, 651, 2911, 3771])).
% 4.04/4.20 tff(17704,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(17705,plain,
% 4.04/4.20 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17704, 651, 1880, 3771, 5431])).
% 4.04/4.20 tff(17706,plain,
% 4.04/4.20 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[119, 17705])).
% 4.04/4.20 tff(17707,plain,
% 4.04/4.20 (~r(z, s(s(s(s(z)))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[2112, 17706, 1731])).
% 4.04/4.20 tff(17708,plain,
% 4.04/4.20 (b(z, s(s(s(s(z)))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[391, 17707])).
% 4.04/4.20 tff(17709,plain,
% 4.04/4.20 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[572, 17708, 487, 164, 175])).
% 4.04/4.20 tff(17710,plain,
% 4.04/4.20 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[68, 17709])).
% 4.04/4.20 tff(17711,plain,
% 4.04/4.20 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17710, 4444])).
% 4.04/4.20 tff(17712,plain,
% 4.04/4.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17713,plain,
% 4.04/4.20 (((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1))))))) <=> ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(17714,plain,
% 4.04/4.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1))))))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[17713])).
% 4.04/4.20 tff(17715,plain,
% 4.04/4.20 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[17714, 17712])).
% 4.04/4.20 tff(17716,plain,
% 4.04/4.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(17717,plain,
% 4.04/4.20 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(s(elem!1))))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 4.04/4.20 tff(17718,plain,
% 4.04/4.20 (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17717, 82, 1294, 17711])).
% 4.04/4.20 tff(17719,plain,
% 4.04/4.20 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17718, 17696])).
% 4.04/4.20 tff(17720,plain,
% 4.04/4.20 ((~b(s(s(s(elem!1))), s(s(s(s(z)))))) <=> (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[5919])).
% 4.04/4.20 tff(17721,plain,
% 4.04/4.20 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[8458, 651, 1880, 3771, 5431])).
% 4.04/4.20 tff(17722,plain,
% 4.04/4.20 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[17721, 17720])).
% 4.04/4.20 tff(17723,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[689, 17722, 17719])).
% 4.04/4.20 tff(17724,plain,((~b(s(z), s(s(s(s(z)))))) | (~(z = elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(17725,plain,
% 4.04/4.20 (~b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17724, 17692, 703, 651, 164, 175, 1731, 1880, 17686, 17680])).
% 4.04/4.20 tff(17726,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[17725, 17677])).
% 4.04/4.20 tff(17727,plain,((~r(s(s(s(s(z)))), s(z))) | (~(z = elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(s(z), s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(17728,plain,
% 4.04/4.20 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17727, 17435, 17666, 164, 175, 1731, 17674, 2180, 438, 16935, 17433, 17671, 17499, 17670, 16929])).
% 4.04/4.21 tff(17729,plain,
% 4.04/4.21 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[119, 17728])).
% 4.04/4.21 tff(17730,plain,
% 4.04/4.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(17731,plain,
% 4.04/4.21 (((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(17732,plain,
% 4.04/4.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17731])).
% 4.04/4.21 tff(17733,plain,
% 4.04/4.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[17732, 17730])).
% 4.04/4.21 tff(17734,plain,
% 4.04/4.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(17735,plain,
% 4.04/4.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17734, 17733])).
% 4.04/4.21 tff(17736,plain,
% 4.04/4.21 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17735, 82, 163, 10491])).
% 4.04/4.21 tff(17737,plain,
% 4.04/4.21 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[689, 17736])).
% 4.04/4.21 tff(17738,plain,
% 4.04/4.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(17739,plain,
% 4.04/4.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(17740,plain,
% 4.04/4.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17739, 17738])).
% 4.04/4.21 tff(17741,plain,
% 4.04/4.21 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17740, 82, 163, 10491])).
% 4.04/4.21 tff(17742,plain,
% 4.04/4.21 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1011, 17741])).
% 4.04/4.21 tff(17743,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[5782, 17742, 17737, 2911, 458, 651])).
% 4.04/4.21 tff(17744,plain,((~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17745,plain,
% 4.04/4.21 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17744, 17729, 17670, 438, 17666])).
% 4.04/4.21 tff(17746,plain,
% 4.04/4.21 (b(s(s(s(z))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[6754, 17745, 11888])).
% 4.04/4.21 tff(17747,plain,
% 4.04/4.21 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17746, 17441])).
% 4.04/4.21 tff(17748,plain,
% 4.04/4.21 (r(z, s(s(s(elem!1)))) <=> r(elem!1, s(s(s(elem!1))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17435])).
% 4.04/4.21 tff(17749,plain,
% 4.04/4.21 (r(elem!1, s(s(s(elem!1)))) <=> r(z, s(s(s(elem!1))))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17748])).
% 4.04/4.21 tff(17750,plain,
% 4.04/4.21 (r(elem!1, s(s(s(z)))) <=> r(z, s(s(s(elem!1))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[17479, 17749])).
% 4.04/4.21 tff(17751,plain,
% 4.04/4.21 (r(z, s(s(s(elem!1))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17481, 17750])).
% 4.04/4.21 tff(17752,plain,
% 4.04/4.21 (~r(elem!1, z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[828, 17433, 27])).
% 4.04/4.21 tff(17753,plain,
% 4.04/4.21 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17438])).
% 4.04/4.21 tff(17754,plain,
% 4.04/4.21 (b(s(s(s(z))), s(z)) <=> b(s(s(s(z))), s(elem!1))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17436])).
% 4.04/4.21 tff(17755,plain,
% 4.04/4.21 (b(s(s(s(z))), s(elem!1))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[438, 17754])).
% 4.04/4.21 tff(17756,plain,
% 4.04/4.21 (b(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17755, 17753])).
% 4.04/4.21 tff(17757,plain,
% 4.04/4.21 ((s(z) = s(s(s(s(elem!1))))) <=> (s(elem!1) = s(s(s(s(elem!1)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17436])).
% 4.04/4.21 tff(17758,plain,
% 4.04/4.21 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(s(elem!1) = s(s(s(s(elem!1))))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17757])).
% 4.04/4.21 tff(17759,plain,
% 4.04/4.21 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[2125, 17758])).
% 4.04/4.21 tff(17760,plain,
% 4.04/4.21 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[5699, 17759])).
% 4.04/4.21 tff(17761,plain,
% 4.04/4.21 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[5079, 17729, 438, 16935, 17666])).
% 4.04/4.21 tff(17762,plain,
% 4.04/4.21 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1011, 17761])).
% 4.04/4.21 tff(17763,plain,
% 4.04/4.21 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[5747, 17762, 17435])).
% 4.04/4.21 tff(17764,plain,
% 4.04/4.21 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17435])).
% 4.04/4.21 tff(17765,plain,
% 4.04/4.21 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[17764, 5922])).
% 4.04/4.21 tff(17766,plain,
% 4.04/4.21 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.04/4.21 inference(transitivity,[status(thm)],[17765, 5923])).
% 4.04/4.21 tff(17767,plain,
% 4.04/4.21 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17766])).
% 4.04/4.21 tff(17768,plain,
% 4.04/4.21 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[5929, 17767])).
% 4.04/4.21 tff(17769,plain,
% 4.04/4.21 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17505])).
% 4.04/4.21 tff(17770,plain,
% 4.04/4.21 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17769])).
% 4.04/4.21 tff(17771,plain,
% 4.04/4.21 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[3187, 17770])).
% 4.04/4.21 tff(17772,plain,
% 4.04/4.21 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17765])).
% 4.04/4.21 tff(17773,plain,
% 4.04/4.21 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[5929, 17772])).
% 4.04/4.21 tff(17774,plain,
% 4.04/4.21 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[2856, 17435, 175])).
% 4.04/4.21 tff(17775,assumption,(~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))), introduced(assumption)).
% 4.04/4.21 tff(17776,plain,
% 4.04/4.21 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17585, 6019, 17775])).
% 4.04/4.21 tff(17777,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(17778,plain,
% 4.04/4.21 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))) <=> ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(17779,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17778])).
% 4.04/4.21 tff(17780,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.04/4.21 inference(transitivity,[status(thm)],[17779, 17777])).
% 4.04/4.21 tff(17781,plain,
% 4.04/4.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(17782,plain,
% 4.04/4.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17781, 17780])).
% 4.04/4.21 tff(17783,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17782, 338, 2303, 1621, 17546, 17544, 17776])).
% 4.04/4.21 tff(17784,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17785,plain,
% 4.04/4.21 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17784, 17515, 17774, 17773, 17771, 17768, 17482, 17763])).
% 4.04/4.21 tff(17786,plain,
% 4.04/4.21 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17558, 17785, 17760])).
% 4.04/4.21 tff(17787,plain,
% 4.04/4.21 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[2279, 17763, 17774, 17496, 2119, 17448])).
% 4.04/4.21 tff(17788,plain,
% 4.04/4.21 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[2619, 17787, 7060])).
% 4.04/4.21 tff(17789,plain,
% 4.04/4.21 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[6146, 17786, 17435, 17511, 17756, 17501])).
% 4.04/4.21 tff(17790,plain,
% 4.04/4.21 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[6151, 17789, 17768])).
% 4.04/4.21 tff(17791,plain,
% 4.04/4.21 (r(s(s(z)), s(z)) <=> r(s(s(elem!1)), s(elem!1))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[2807, 2806])).
% 4.04/4.21 tff(17792,plain,
% 4.04/4.21 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(z)), s(z))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17791])).
% 4.04/4.21 tff(17793,plain,
% 4.04/4.21 (b(elem!1, s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[9178, 4476, 8722])).
% 4.04/4.21 tff(17794,plain,
% 4.04/4.21 (~b(s(s(elem!1)), s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[8947, 6387, 8722, 1731, 17793, 864, 1564, 215, 1353, 6386])).
% 4.04/4.21 tff(17795,plain,
% 4.04/4.21 (r(s(s(elem!1)), s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[277, 17794, 7154])).
% 4.04/4.21 tff(17796,plain,
% 4.04/4.21 (r(s(s(z)), s(z))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17795, 17792])).
% 4.04/4.21 tff(17797,plain,
% 4.04/4.21 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[9440, 17796, 4476, 6138, 6386, 6387])).
% 4.04/4.21 tff(17798,plain,
% 4.04/4.21 (b(s(s(s(s(s(s(elem!1)))))), s(z)) | r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[6104, 6091])).
% 4.04/4.21 tff(17799,plain,
% 4.04/4.21 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17798, 17797])).
% 4.04/4.21 tff(17800,plain,
% 4.04/4.21 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[6111, 17799, 703])).
% 4.04/4.21 tff(17801,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[6144, 338, 1500, 1564, 6138, 7945, 8019])).
% 4.04/4.21 tff(17802,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17803,plain,
% 4.04/4.21 (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17802, 17800, 1564, 6138, 1500])).
% 4.04/4.21 tff(17804,plain,
% 4.04/4.21 (r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17650, 17803, 17534])).
% 4.04/4.21 tff(17805,plain,
% 4.04/4.21 (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[7986, 17579, 6386, 6138, 6387])).
% 4.04/4.21 tff(17806,plain,
% 4.04/4.21 (r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[6063, 17805, 6052])).
% 4.04/4.21 tff(17807,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17592, 82, 2267, 17806, 17586])).
% 4.04/4.21 tff(17808,plain,(b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17809,plain,
% 4.04/4.21 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17808, 6387, 6386, 6138, 2267, 575, 703])).
% 4.04/4.21 tff(17810,plain,
% 4.04/4.21 (~b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17782, 338, 2303, 1621, 6187, 17809])).
% 4.04/4.21 tff(17811,plain,
% 4.04/4.21 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[6185, 17810, 6168])).
% 4.04/4.21 tff(17812,plain,
% 4.04/4.21 (r(elem!1, s(z))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[1731, 5806])).
% 4.04/4.21 tff(17813,plain,
% 4.04/4.21 (r(elem!1, s(elem!1))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17812, 5808])).
% 4.04/4.21 tff(17814,plain,
% 4.04/4.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(17815,plain,
% 4.04/4.21 (((~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(elem!1)))) <=> ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(17816,plain,
% 4.04/4.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17815])).
% 4.04/4.21 tff(17817,plain,
% 4.04/4.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[17816, 17814])).
% 4.04/4.21 tff(17818,plain,
% 4.04/4.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(elem!1))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(17819,plain,
% 4.04/4.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 4.04/4.21 tff(17820,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17819, 82, 17813, 17811, 17804])).
% 4.04/4.21 tff(17821,plain,((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~(z = elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~r(z, s(z))) | r(elem!1, z) | (s(elem!1) = s(s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17822,plain,
% 4.04/4.21 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17821, 17515, 17774, 17790, 17788, 17786, 17509, 17504, 17435, 17511, 17756, 8722, 1731, 17752, 210, 17751])).
% 4.04/4.21 tff(17823,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17822, 17747])).
% 4.04/4.21 tff(17824,plain,(b(z, elem!1) | (~b(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | b(s(s(s(z))), z) | b(s(z), z) | (elem!1 = s(s(elem!1))) | (s(z) = elem!1) | (s(s(elem!1)) = s(s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17825,plain,
% 4.04/4.21 (b(z, elem!1)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17824, 1731, 8722, 150, 175, 129, 1, 137, 16900, 16894, 62])).
% 4.04/4.21 tff(17826,plain,
% 4.04/4.21 (~(elem!1 = s(s(s(z))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1046, 17825, 138])).
% 4.04/4.21 tff(17827,plain,
% 4.04/4.21 (s(s(s(elem!1))) = s(s(s(s(s(z)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.21 tff(17828,plain,
% 4.04/4.21 (s(s(s(s(s(z))))) = s(s(s(elem!1)))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17827])).
% 4.04/4.21 tff(17829,plain,
% 4.04/4.21 (b(s(s(s(s(s(z))))), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17828])).
% 4.04/4.21 tff(17830,plain,
% 4.04/4.21 (b(s(s(s(elem!1))), s(s(s(z)))) <=> b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17829])).
% 4.04/4.21 tff(17831,plain,
% 4.04/4.21 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[183])).
% 4.04/4.21 tff(17832,plain,
% 4.04/4.21 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 4.04/4.21 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.21 tff(17833,plain,
% 4.04/4.21 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 4.04/4.21 inference(symmetry,[status(thm)],[17832])).
% 4.04/4.21 tff(17834,plain,
% 4.04/4.21 (b(s(s(elem!1)), z)),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[175, 17833])).
% 4.04/4.21 tff(17835,plain,
% 4.04/4.21 (r(s(elem!1), z) <=> r(s(s(s(z))), z)),
% 4.04/4.21 inference(monotonicity,[status(thm)],[183])).
% 4.04/4.21 tff(17836,plain,
% 4.04/4.21 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 4.04/4.21 inference(symmetry,[status(thm)],[17835])).
% 4.04/4.21 tff(17837,plain,
% 4.04/4.21 (r(s(elem!1), z)),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[426, 17836])).
% 4.04/4.21 tff(17838,plain,
% 4.04/4.21 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[16902])).
% 4.04/4.21 tff(17839,plain,
% 4.04/4.21 (b(s(z), s(s(z)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[16930, 17838])).
% 4.04/4.21 tff(17840,plain,
% 4.04/4.21 (b(z, elem!1) <=> b(z, s(s(z)))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[16902])).
% 4.04/4.21 tff(17841,plain,
% 4.04/4.21 (b(z, s(s(z)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[1021, 17840])).
% 4.04/4.21 tff(17842,plain,
% 4.04/4.21 (~r(z, s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[16634, 1731, 458, 164])).
% 4.04/4.21 tff(17843,plain,
% 4.04/4.21 (b(z, s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[391, 17842])).
% 4.04/4.21 tff(17844,plain,
% 4.04/4.21 (~b(s(s(z)), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[484, 3511, 458, 544, 474])).
% 4.04/4.21 tff(17845,plain,
% 4.04/4.21 (r(s(s(z)), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[472, 17844])).
% 4.04/4.21 tff(17846,plain,
% 4.04/4.21 (~b(s(s(z)), z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[2496, 540, 175, 555, 601])).
% 4.04/4.21 tff(17847,plain,
% 4.04/4.21 (r(s(s(z)), z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[956, 17846])).
% 4.04/4.21 tff(17848,plain,
% 4.04/4.21 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(17849,plain,
% 4.04/4.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(17850,plain,
% 4.04/4.21 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17849, 17848])).
% 4.04/4.21 tff(17851,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17850, 82, 405, 17847, 17845])).
% 4.04/4.21 tff(17852,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17853,plain,
% 4.04/4.21 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17852, 17839, 458, 405, 175, 17843, 17841, 164])).
% 4.04/4.21 tff(17854,plain,
% 4.04/4.21 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[68, 17853])).
% 4.04/4.21 tff(17855,plain,
% 4.04/4.21 (r(elem!1, s(z)) <=> r(s(s(z)), s(z))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[16902])).
% 4.04/4.21 tff(17856,plain,
% 4.04/4.21 (r(s(s(z)), s(z)) <=> r(elem!1, s(z))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17855])).
% 4.04/4.21 tff(17857,plain,
% 4.04/4.21 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[982, 540, 175, 555, 601])).
% 4.04/4.21 tff(17858,plain,
% 4.04/4.21 (r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[598, 17857, 61])).
% 4.04/4.21 tff(17859,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[593, 17858, 3511, 458, 457, 72])).
% 4.04/4.21 tff(17860,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17861,plain,
% 4.04/4.21 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17860, 72, 544, 458, 175, 17843, 17841, 164])).
% 4.04/4.21 tff(17862,plain,
% 4.04/4.21 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[68, 17861])).
% 4.04/4.21 tff(17863,plain,
% 4.04/4.21 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.21 tff(17864,plain,
% 4.04/4.21 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17863])).
% 4.04/4.21 tff(17865,plain,
% 4.04/4.21 (r(s(z), s(s(elem!1)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[72, 17864])).
% 4.04/4.21 tff(17866,plain,
% 4.04/4.21 (b(s(z), s(elem!1))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[457, 16911])).
% 4.04/4.21 tff(17867,plain,
% 4.04/4.21 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[16902])).
% 4.04/4.21 tff(17868,plain,
% 4.04/4.21 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.04/4.21 inference(symmetry,[status(thm)],[17867])).
% 4.04/4.21 tff(17869,plain,
% 4.04/4.21 (r(s(s(s(s(z)))), elem!1)),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[71, 17868])).
% 4.04/4.21 tff(17870,plain,
% 4.04/4.21 (~r(elem!1, s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1178, 108, 17869])).
% 4.04/4.21 tff(17871,plain,
% 4.04/4.21 (~b(elem!1, s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[16925, 17870, 691, 16915, 17866, 176])).
% 4.04/4.21 tff(17872,plain,
% 4.04/4.21 (r(elem!1, s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[252, 17871, 232])).
% 4.04/4.21 tff(17873,plain,
% 4.04/4.21 (~r(elem!1, z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[5187, 17872, 1815])).
% 4.04/4.21 tff(17874,plain,
% 4.04/4.21 (b(elem!1, z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[846, 17873, 1037])).
% 4.04/4.21 tff(17875,plain,
% 4.04/4.21 (~b(elem!1, s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[8965, 17874, 8722, 1021, 878])).
% 4.04/4.21 tff(17876,plain,
% 4.04/4.21 (r(elem!1, s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[321, 17875, 137])).
% 4.04/4.21 tff(17877,plain,
% 4.04/4.21 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), elem!1)),
% 4.04/4.21 inference(transitivity,[status(thm)],[17868, 16807])).
% 4.04/4.21 tff(17878,plain,
% 4.04/4.21 (r(s(s(elem!1)), elem!1)),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[71, 17877])).
% 4.04/4.21 tff(17879,plain,
% 4.04/4.21 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[11454, 178])).
% 4.04/4.21 tff(17880,plain,
% 4.04/4.21 (s(s(s(z))) = s(elem!1)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[4794, 17879])).
% 4.04/4.21 tff(17881,plain,
% 4.04/4.21 (s(elem!1) = s(s(s(z)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[3985, 17880])).
% 4.04/4.21 tff(17882,plain,
% 4.04/4.21 (~(s(s(s(elem!1))) = elem!1)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[3655, 17881])).
% 4.04/4.21 tff(17883,plain,
% 4.04/4.21 (r(s(s(elem!1)), s(z)) <=> r(s(s(s(s(z)))), s(z))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.21 tff(17884,plain,
% 4.04/4.21 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17883])).
% 4.04/4.21 tff(17885,plain,
% 4.04/4.21 (r(s(s(elem!1)), s(z))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[108, 17884])).
% 4.04/4.21 tff(17886,plain,
% 4.04/4.21 (~r(s(s(s(elem!1))), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[3038, 1294, 786])).
% 4.04/4.21 tff(17887,plain,
% 4.04/4.21 (b(s(s(s(elem!1))), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1990, 17886])).
% 4.04/4.21 tff(17888,plain,
% 4.04/4.21 (~r(elem!1, s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[4436, 1294, 279])).
% 4.04/4.21 tff(17889,plain,
% 4.04/4.21 (b(elem!1, s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1946, 17888, 1925])).
% 4.04/4.21 tff(17890,plain,
% 4.04/4.21 (~r(s(z), s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[4223, 1294, 721])).
% 4.04/4.21 tff(17891,plain,
% 4.04/4.21 (b(s(z), s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1870, 17890])).
% 4.04/4.21 tff(17892,plain,
% 4.04/4.21 (~r(s(s(s(elem!1))), elem!1)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1299, 1294, 254])).
% 4.04/4.21 tff(17893,plain,
% 4.04/4.21 (b(s(s(s(elem!1))), elem!1)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[2162, 17892, 1271])).
% 4.04/4.21 tff(17894,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17059, 17893, 17891, 706, 17889, 17887])).
% 4.04/4.21 tff(17895,plain,((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), elem!1)) | (s(s(s(elem!1))) = elem!1) | (~r(s(s(elem!1)), s(z))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17896,plain,
% 4.04/4.21 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17895, 17885, 16930, 17882, 17878, 17876, 721])).
% 4.04/4.21 tff(17897,plain,
% 4.04/4.21 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1292, 17896, 2180])).
% 4.04/4.21 tff(17898,plain,
% 4.04/4.21 (b(s(s(elem!1)), s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[10701, 17676, 178])).
% 4.04/4.21 tff(17899,plain,
% 4.04/4.21 (~(elem!1 = s(s(s(elem!1))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1924, 17882])).
% 4.04/4.21 tff(17900,plain,
% 4.04/4.21 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.21 tff(17901,plain,
% 4.04/4.21 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17900])).
% 4.04/4.21 tff(17902,plain,
% 4.04/4.21 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[183])).
% 4.04/4.21 tff(17903,plain,
% 4.04/4.21 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.04/4.21 inference(symmetry,[status(thm)],[17902])).
% 4.04/4.21 tff(17904,plain,
% 4.04/4.21 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.04/4.21 inference(transitivity,[status(thm)],[17903, 17901])).
% 4.04/4.21 tff(17905,plain,
% 4.04/4.21 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.04/4.21 inference(symmetry,[status(thm)],[16901])).
% 4.04/4.21 tff(17906,plain,
% 4.04/4.21 (s(s(z)) = elem!1),
% 4.04/4.21 inference(transitivity,[status(thm)],[53, 17905, 199])).
% 4.04/4.21 tff(17907,plain,
% 4.04/4.21 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[17906])).
% 4.04/4.21 tff(17908,plain,
% 4.04/4.21 (~b(s(s(z)), s(s(s(z))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[484, 17690, 458, 457, 17839])).
% 4.04/4.21 tff(17909,plain,
% 4.04/4.21 (r(s(s(z)), s(s(s(z))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[534, 17908])).
% 4.04/4.21 tff(17910,plain,
% 4.04/4.21 (r(elem!1, s(s(s(z))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17909, 17907])).
% 4.04/4.21 tff(17911,plain,
% 4.04/4.21 (r(elem!1, s(s(elem!1))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.21 tff(17912,plain,
% 4.04/4.21 (r(elem!1, s(s(s(s(z)))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17876, 17911])).
% 4.04/4.21 tff(17913,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[4975, 82, 3239, 911, 1146])).
% 4.04/4.21 tff(17914,plain,((~r(elem!1, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(17915,plain,
% 4.04/4.21 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[17914, 17912, 17910])).
% 4.04/4.21 tff(17916,plain,
% 4.04/4.21 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[689, 17915])).
% 4.04/4.21 tff(17917,plain,
% 4.04/4.21 (b(s(elem!1), s(s(elem!1)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[17916, 17904])).
% 4.04/4.21 tff(17918,plain,
% 4.04/4.21 (~r(s(s(s(elem!1))), z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[8904, 2043, 233])).
% 4.04/4.21 tff(17919,plain,
% 4.04/4.21 (b(s(s(s(elem!1))), z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1387, 17918])).
% 4.04/4.21 tff(17920,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17921,plain,
% 4.04/4.22 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17922,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1))))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[17921])).
% 4.04/4.22 tff(17923,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[17922, 17920])).
% 4.04/4.22 tff(17924,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(17925,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1))))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[17924, 17923])).
% 4.04/4.22 tff(17926,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17925, 338, 1595, 1596, 6387, 8722, 878])).
% 4.04/4.22 tff(17927,plain,((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(17928,plain,
% 4.04/4.22 (~b(z, s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17927, 17919, 8722, 6387, 878])).
% 4.04/4.22 tff(17929,plain,
% 4.04/4.22 (r(z, s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1373, 17928])).
% 4.04/4.22 tff(17930,plain,
% 4.04/4.22 (~b(s(z), s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17391, 11732, 405, 691, 6387, 8722, 813, 176])).
% 4.04/4.22 tff(17931,plain,
% 4.04/4.22 (r(s(z), s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1870, 17930])).
% 4.04/4.22 tff(17932,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[5440, 17931, 17929, 405])).
% 4.04/4.22 tff(17933,plain,((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(z), z)) | (s(z) = elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | r(elem!1, s(z)) | r(s(z), elem!1) | (~b(s(s(elem!1)), z)) | (elem!1 = s(s(s(elem!1)))) | (~r(elem!1, s(elem!1))) | (~r(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(17934,plain,
% 4.04/4.22 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17933, 17897, 691, 405, 8722, 17870, 176, 878, 17899, 17872, 233])).
% 4.04/4.22 tff(17935,plain,
% 4.04/4.22 (b(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1971, 17934, 218])).
% 4.04/4.22 tff(17936,plain,
% 4.04/4.22 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[8111, 17935, 17898, 17917, 17897])).
% 4.04/4.22 tff(17937,plain,
% 4.04/4.22 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[2619, 17936, 7060])).
% 4.04/4.22 tff(17938,plain,
% 4.04/4.22 (~r(elem!1, s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[7644, 17937, 17876])).
% 4.04/4.22 tff(17939,plain,
% 4.04/4.22 (b(elem!1, s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1946, 17938, 17899])).
% 4.04/4.22 tff(17940,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17941,plain,
% 4.04/4.22 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17942,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1))))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[17941])).
% 4.04/4.22 tff(17943,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[17942, 17940])).
% 4.04/4.22 tff(17944,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(17945,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1))))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[17944, 17943])).
% 4.04/4.22 tff(17946,plain,
% 4.04/4.22 (~b(s(s(s(elem!1))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17945, 338, 1021, 1595, 1929, 6387, 8722])).
% 4.04/4.22 tff(17947,plain,
% 4.04/4.22 (r(s(s(s(elem!1))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1387, 17946])).
% 4.04/4.22 tff(17948,plain,
% 4.04/4.22 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[8904, 17947, 233])).
% 4.04/4.22 tff(17949,plain,
% 4.04/4.22 (b(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1971, 17948, 222])).
% 4.04/4.22 tff(17950,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17951,plain,
% 4.04/4.22 (((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17952,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[17951])).
% 4.04/4.22 tff(17953,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[17952, 17950])).
% 4.04/4.22 tff(17954,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(17955,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[17954, 17953])).
% 4.04/4.22 tff(17956,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17955, 338, 1021, 17949, 1595, 1929, 6387, 316])).
% 4.04/4.22 tff(17957,plain,((~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (s(s(s(elem!1))) = s(elem!1)) | (~r(z, s(elem!1))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(17958,plain,
% 4.04/4.22 (~b(z, s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17957, 17939, 8722, 1021, 233, 218, 17898, 17897])).
% 4.04/4.22 tff(17959,plain,
% 4.04/4.22 (r(z, s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1373, 17958])).
% 4.04/4.22 tff(17960,plain,
% 4.04/4.22 (~b(s(z), s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17391, 17939, 405, 691, 17897, 8722, 17870, 176])).
% 4.04/4.22 tff(17961,plain,
% 4.04/4.22 (r(s(z), s(s(s(elem!1))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1870, 17960])).
% 4.04/4.22 tff(17962,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[5440, 17961, 17959, 405])).
% 4.04/4.22 tff(17963,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (s(z) = elem!1) | (~b(z, s(s(elem!1)))) | r(s(z), elem!1) | (~b(z, elem!1)) | (~r(z, s(elem!1))) | (~b(s(s(elem!1)), z)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(elem!1), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(17964,plain,
% 4.04/4.22 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17963, 17865, 691, 8722, 176, 1021, 190, 17834, 178, 405, 137, 1815, 458, 544, 17862])).
% 4.04/4.22 tff(17965,plain,
% 4.04/4.22 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[119, 17964])).
% 4.04/4.22 tff(17966,plain,
% 4.04/4.22 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[4933, 338, 457, 458, 987, 2911])).
% 4.04/4.22 tff(17967,plain,
% 4.04/4.22 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[689, 17966])).
% 4.04/4.22 tff(17968,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17969,plain,
% 4.04/4.22 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17970,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[17969])).
% 4.04/4.22 tff(17971,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[17970, 17968])).
% 4.04/4.22 tff(17972,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(17973,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[17972, 17971])).
% 4.04/4.22 tff(17974,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17973, 338, 476, 457, 458, 987, 474, 2911])).
% 4.04/4.22 tff(17975,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(17976,plain,
% 4.04/4.22 (~b(s(s(z)), s(s(s(z))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17975, 987, 458, 2911, 474, 457])).
% 4.04/4.22 tff(17977,plain,
% 4.04/4.22 (r(s(s(z)), s(s(s(z))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[534, 17976])).
% 4.04/4.22 tff(17978,plain,
% 4.04/4.22 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[572, 17977, 175, 555, 164])).
% 4.04/4.22 tff(17979,plain,
% 4.04/4.22 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[68, 17978])).
% 4.04/4.22 tff(17980,plain,
% 4.04/4.22 (~r(s(s(s(z))), s(s(z)))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[2472, 17979, 17967])).
% 4.04/4.22 tff(17981,plain,
% 4.04/4.22 (b(s(s(s(z))), s(s(z)))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[639, 17980])).
% 4.04/4.22 tff(17982,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17983,plain,
% 4.04/4.22 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(17984,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[17983])).
% 4.04/4.22 tff(17985,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[17984, 17982])).
% 4.04/4.22 tff(17986,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(17987,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[17986, 17985])).
% 4.04/4.22 tff(17988,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17987, 338, 457, 458, 17981, 987, 474, 2911])).
% 4.04/4.22 tff(17989,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(17990,plain,
% 4.04/4.22 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[17989, 17965, 458, 17839, 544, 175, 17843, 164])).
% 4.04/4.22 tff(17991,plain,
% 4.04/4.22 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1011, 17990])).
% 4.04/4.22 tff(17992,plain,
% 4.04/4.22 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1457, 17991, 17862])).
% 4.04/4.22 tff(17993,plain,
% 4.04/4.22 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[534, 17992])).
% 4.04/4.22 tff(17994,plain,
% 4.04/4.22 (~b(s(s(z)), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[484, 17993, 458, 544, 17839])).
% 4.04/4.22 tff(17995,plain,
% 4.04/4.22 (r(s(s(z)), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[472, 17994])).
% 4.04/4.22 tff(17996,plain,
% 4.04/4.22 (r(elem!1, s(z))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[17995, 17856])).
% 4.04/4.22 tff(17997,plain,
% 4.04/4.22 (~r(z, elem!1)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[8266, 17996, 1731])).
% 4.04/4.22 tff(17998,plain,
% 4.04/4.22 (b(s(s(z)), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[17906])).
% 4.04/4.22 tff(17999,plain,
% 4.04/4.22 (b(s(s(z)), s(s(s(s(z))))) <=> b(elem!1, s(s(elem!1)))),
% 4.04/4.22 inference(transitivity,[status(thm)],[17998, 16804])).
% 4.04/4.22 tff(18000,plain,
% 4.04/4.22 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[593, 17993, 458, 544, 72])).
% 4.04/4.22 tff(18001,plain,
% 4.04/4.22 (b(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[598, 18000, 61])).
% 4.04/4.22 tff(18002,plain,
% 4.04/4.22 (b(elem!1, s(s(elem!1)))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[18001, 17999])).
% 4.04/4.22 tff(18003,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(18004,plain,
% 4.04/4.22 (((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(18005,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[18004])).
% 4.04/4.22 tff(18006,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.04/4.23 inference(transitivity,[status(thm)],[18005, 18003])).
% 4.04/4.23 tff(18007,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)))),
% 4.04/4.23 inference(quant_inst,[status(thm)],[])).
% 4.04/4.23 tff(18008,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18007, 18006])).
% 4.04/4.23 tff(18009,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18008, 338, 1021, 763, 762, 8722, 878])).
% 4.04/4.23 tff(18010,plain,((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18011,plain,
% 4.04/4.23 (~b(s(s(elem!1)), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18010, 18002, 8722, 1021, 17834])).
% 4.04/4.23 tff(18012,plain,
% 4.04/4.23 (~r(elem!1, z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[811, 17996, 405])).
% 4.04/4.23 tff(18013,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[8967, 18012, 18011, 8722, 17834, 18002, 17997])).
% 4.04/4.23 tff(18014,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~b(z, elem!1)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (s(z) = elem!1) | r(s(z), elem!1) | (elem!1 = s(s(elem!1))) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18015,plain,
% 4.04/4.23 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18014, 176, 1731, 405, 1021, 178, 458, 175, 164, 691, 8722, 137, 1815])).
% 4.04/4.23 tff(18016,plain,
% 4.04/4.23 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[106, 18015])).
% 4.04/4.23 tff(18017,plain,
% 4.04/4.23 (b(s(s(s(z))), s(s(z))) <=> b(s(s(s(z))), elem!1)),
% 4.04/4.23 inference(monotonicity,[status(thm)],[17906])).
% 4.04/4.23 tff(18018,plain,
% 4.04/4.23 (b(s(z), s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13911, 651, 17879])).
% 4.04/4.23 tff(18019,plain,
% 4.04/4.23 (r(s(s(elem!1)), s(s(z))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.23 tff(18020,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), s(s(z)))),
% 4.04/4.23 inference(symmetry,[status(thm)],[18019])).
% 4.04/4.23 tff(18021,plain,
% 4.04/4.23 (r(s(s(elem!1)), s(s(z)))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[71, 18020])).
% 4.04/4.23 tff(18022,plain,
% 4.04/4.23 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[17012, 487, 18021])).
% 4.04/4.23 tff(18023,plain,
% 4.04/4.23 (b(s(s(elem!1)), s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[6881, 18022, 6879])).
% 4.04/4.23 tff(18024,plain,
% 4.04/4.23 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[6876, 18023, 458, 18018, 457])).
% 4.04/4.23 tff(18025,plain,
% 4.04/4.23 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[10740, 18024, 17879])).
% 4.04/4.23 tff(18026,plain,
% 4.04/4.23 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[689, 18025])).
% 4.04/4.23 tff(18027,plain,
% 4.04/4.23 (~r(s(s(s(z))), s(s(z)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[2472, 18026, 71])).
% 4.04/4.23 tff(18028,plain,
% 4.04/4.23 (b(s(s(s(z))), s(s(z)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[639, 18027])).
% 4.04/4.23 tff(18029,plain,
% 4.04/4.23 (b(s(s(s(z))), elem!1)),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18028, 18017])).
% 4.04/4.23 tff(18030,plain,
% 4.04/4.23 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1457, 487, 71])).
% 4.04/4.23 tff(18031,plain,
% 4.04/4.23 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1011, 18030])).
% 4.04/4.23 tff(18032,plain,
% 4.04/4.23 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[5079, 18031, 458, 457, 651])).
% 4.04/4.23 tff(18033,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[119, 18032])).
% 4.04/4.23 tff(18034,plain,
% 4.04/4.23 (~r(elem!1, s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1178, 18033, 17869])).
% 4.04/4.23 tff(18035,plain,
% 4.04/4.23 (b(elem!1, s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[819, 18034, 720])).
% 4.04/4.23 tff(18036,plain,
% 4.04/4.23 (~b(s(s(s(z))), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[6908, 18035, 458, 457, 706])).
% 4.04/4.23 tff(18037,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18036, 18029])).
% 4.04/4.23 tff(18038,plain,((~r(s(s(z)), s(s(s(z))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1)) | (~r(s(s(s(s(z)))), s(s(z)))) | (elem!1 = s(z)) | (~b(s(z), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18039,plain,
% 4.04/4.23 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18038, 16930, 458, 544, 178, 17854, 697, 18016, 6879])).
% 4.04/4.23 tff(18040,plain,
% 4.04/4.23 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[534, 18039])).
% 4.04/4.23 tff(18041,plain,
% 4.04/4.23 (~b(s(s(z)), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[484, 18040, 458, 544, 17839])).
% 4.04/4.23 tff(18042,plain,
% 4.04/4.23 (r(s(s(z)), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[472, 18041])).
% 4.04/4.23 tff(18043,plain,
% 4.04/4.23 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[464, 18042, 17854])).
% 4.04/4.23 tff(18044,plain,
% 4.04/4.23 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[119, 18043])).
% 4.04/4.23 tff(18045,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(18046,plain,
% 4.04/4.23 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(18047,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[18046])).
% 4.04/4.23 tff(18048,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.23 inference(transitivity,[status(thm)],[18047, 18045])).
% 4.04/4.23 tff(18049,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.23 inference(quant_inst,[status(thm)],[])).
% 4.04/4.23 tff(18050,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 4.04/4.23 tff(18051,plain,
% 4.04/4.23 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18050, 338, 18040, 544, 458, 17839, 18044])).
% 4.04/4.23 tff(18052,plain,
% 4.04/4.23 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[689, 18051])).
% 4.04/4.23 tff(18053,plain,
% 4.04/4.23 (~r(s(s(s(z))), s(s(z)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[2472, 18052, 17854])).
% 4.04/4.23 tff(18054,plain,
% 4.04/4.23 (b(s(s(s(z))), s(s(z)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[639, 18053])).
% 4.04/4.23 tff(18055,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[968, 338, 18040, 544, 458, 18054, 17839])).
% 4.04/4.23 tff(18056,plain,(r(s(z), elem!1) | (~b(s(s(s(z))), s(z))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~b(z, elem!1)) | (s(z) = elem!1) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18057,plain,
% 4.04/4.23 (r(s(z), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18056, 178, 542, 6879, 405, 175, 164, 1731, 1021, 691, 8722, 137, 17837])).
% 4.04/4.23 tff(18058,plain,
% 4.04/4.23 (~r(elem!1, z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[828, 18057, 405])).
% 4.04/4.23 tff(18059,plain,
% 4.04/4.23 (b(elem!1, z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[846, 18058, 1037])).
% 4.04/4.23 tff(18060,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(18061,plain,
% 4.04/4.23 (((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(18062,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[18061])).
% 4.04/4.23 tff(18063,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.04/4.23 inference(transitivity,[status(thm)],[18062, 18060])).
% 4.04/4.23 tff(18064,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)))),
% 4.04/4.23 inference(quant_inst,[status(thm)],[])).
% 4.04/4.23 tff(18065,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18064, 18063])).
% 4.04/4.23 tff(18066,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18065, 338, 1021, 1131, 763, 8722, 878])).
% 4.04/4.23 tff(18067,plain,((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18068,plain,
% 4.04/4.23 (~b(s(s(elem!1)), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18067, 18059, 8722, 1021, 17834])).
% 4.04/4.23 tff(18069,plain,
% 4.04/4.23 (r(s(s(elem!1)), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[327, 18068, 197])).
% 4.04/4.23 tff(18070,plain,
% 4.04/4.23 (~b(elem!1, s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[8965, 18059, 8722, 1021, 17834])).
% 4.04/4.23 tff(18071,plain,
% 4.04/4.23 (r(elem!1, s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[321, 18070, 137])).
% 4.04/4.23 tff(18072,plain,
% 4.04/4.23 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(s(s(z)))), s(elem!1))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.23 tff(18073,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(elem!1)), s(elem!1))),
% 4.04/4.23 inference(symmetry,[status(thm)],[18072])).
% 4.04/4.23 tff(18074,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[183])).
% 4.04/4.23 tff(18075,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 4.04/4.23 inference(symmetry,[status(thm)],[18074])).
% 4.04/4.23 tff(18076,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(elem!1)), s(elem!1))),
% 4.04/4.23 inference(transitivity,[status(thm)],[18075, 18073])).
% 4.04/4.23 tff(18077,plain,
% 4.04/4.23 ((s(s(elem!1)) = elem!1) <=> (s(s(s(s(z)))) = elem!1)),
% 4.04/4.23 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.23 tff(18078,plain,
% 4.04/4.23 ((s(s(elem!1)) = elem!1) <=> (elem!1 = s(s(s(s(z)))))),
% 4.04/4.23 inference(transitivity,[status(thm)],[18077, 139])).
% 4.04/4.23 tff(18079,plain,
% 4.04/4.23 ((s(s(elem!1)) = elem!1) <=> (s(s(s(s(z)))) = elem!1)),
% 4.04/4.23 inference(transitivity,[status(thm)],[18078, 1058])).
% 4.04/4.23 tff(18080,plain,
% 4.04/4.23 ((~(s(s(elem!1)) = elem!1)) <=> (~(s(s(s(s(z)))) = elem!1))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[18079])).
% 4.04/4.23 tff(18081,plain,
% 4.04/4.23 (~(s(s(s(s(z)))) = elem!1)),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[197, 18080])).
% 4.04/4.23 tff(18082,plain,
% 4.04/4.23 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[12634, 18059, 1731, 18057, 18081, 1021])).
% 4.04/4.23 tff(18083,plain,
% 4.04/4.23 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[119, 18082])).
% 4.04/4.23 tff(18084,plain,
% 4.04/4.23 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(z)))))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.23 tff(18085,plain,
% 4.04/4.23 (~r(s(z), s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[8741, 18071, 18057])).
% 4.04/4.23 tff(18086,plain,
% 4.04/4.23 (b(s(z), s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[743, 18085])).
% 4.04/4.23 tff(18087,plain,
% 4.04/4.23 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18086, 18084])).
% 4.04/4.23 tff(18088,plain,
% 4.04/4.23 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[5079, 18087, 542, 544, 18083])).
% 4.04/4.23 tff(18089,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1011, 18088])).
% 4.04/4.23 tff(18090,plain,
% 4.04/4.23 (r(s(s(elem!1)), s(elem!1))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18089, 18076])).
% 4.04/4.23 tff(18091,plain,
% 4.04/4.23 (~b(z, s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[16284, 17893, 1021, 1131, 17889])).
% 4.04/4.23 tff(18092,plain,
% 4.04/4.23 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[5905, 264, 279, 1929, 1962, 2636, 1294])).
% 4.04/4.23 tff(18093,plain,
% 4.04/4.23 (r(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1515, 18092, 215])).
% 4.04/4.23 tff(18094,plain,
% 4.04/4.23 (~r(z, s(elem!1))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[7166, 18093, 1353])).
% 4.04/4.23 tff(18095,plain,
% 4.04/4.23 (b(z, s(elem!1))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1615, 18094])).
% 4.04/4.23 tff(18096,plain,
% 4.04/4.23 (~b(s(elem!1), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[7200, 18095, 1021, 1131, 6585])).
% 4.04/4.23 tff(18097,plain,
% 4.04/4.23 (r(s(elem!1), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1812, 18096])).
% 4.04/4.23 tff(18098,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[7044, 82, 18097, 1353, 18093])).
% 4.04/4.23 tff(18099,plain,((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (s(elem!1) = s(s(s(elem!1)))) | (elem!1 = s(elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18100,plain,
% 4.04/4.23 (~r(z, s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18099, 17893, 264, 1131, 279, 7156, 215, 1021, 1294, 17889])).
% 4.04/4.23 tff(18101,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1373, 18100, 18091])).
% 4.04/4.23 tff(18102,plain,((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(z, elem!1)) | (s(s(s(elem!1))) = elem!1) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18103,plain,
% 4.04/4.23 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18102, 18090, 18059, 18071, 210, 1021, 17882, 18069])).
% 4.04/4.23 tff(18104,plain,
% 4.04/4.23 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1292, 18103, 2180])).
% 4.04/4.23 tff(18105,plain,
% 4.04/4.23 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(s(z))))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[183])).
% 4.04/4.23 tff(18106,plain,
% 4.04/4.23 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(elem!1))),
% 4.04/4.23 inference(symmetry,[status(thm)],[18105])).
% 4.04/4.23 tff(18107,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), elem!1)),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18069, 16806])).
% 4.04/4.23 tff(18108,plain,
% 4.04/4.23 (~r(elem!1, s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1152, 18089, 18107])).
% 4.04/4.23 tff(18109,plain,
% 4.04/4.23 (b(elem!1, s(s(s(z))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1160, 18108, 1050])).
% 4.04/4.23 tff(18110,plain,
% 4.04/4.23 (b(elem!1, s(elem!1))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18109, 18106])).
% 4.04/4.23 tff(18111,plain,
% 4.04/4.23 (b(s(s(elem!1)), s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[178])).
% 4.04/4.23 tff(18112,plain,
% 4.04/4.23 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 4.04/4.23 inference(symmetry,[status(thm)],[18111])).
% 4.04/4.23 tff(18113,plain,
% 4.04/4.23 (b(s(s(elem!1)), s(z))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18083, 18112])).
% 4.04/4.23 tff(18114,plain,
% 4.04/4.23 (~r(s(s(s(elem!1))), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[10565, 18104, 18057, 18086, 18113])).
% 4.04/4.23 tff(18115,plain,
% 4.04/4.23 (b(s(s(s(elem!1))), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[2162, 18114, 17882])).
% 4.04/4.23 tff(18116,plain,
% 4.04/4.23 (~b(z, s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[16284, 1131, 2636, 1929, 1021])).
% 4.04/4.23 tff(18117,plain,
% 4.04/4.23 (r(z, s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1373, 18116])).
% 4.04/4.23 tff(18118,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(18119,plain,
% 4.04/4.23 (((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(18120,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1)))))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[18119])).
% 4.04/4.23 tff(18121,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.04/4.23 inference(transitivity,[status(thm)],[18120, 18118])).
% 4.04/4.23 tff(18122,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 4.04/4.23 inference(quant_inst,[status(thm)],[])).
% 4.04/4.23 tff(18123,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1)))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[18122, 18121])).
% 4.04/4.23 tff(18124,plain,
% 4.04/4.23 ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18123, 338, 1021, 1929, 2636, 1564])).
% 4.04/4.23 tff(18125,plain,
% 4.04/4.23 (~b(s(s(s(elem!1))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18124, 315])).
% 4.04/4.23 tff(18126,plain,
% 4.04/4.23 (r(s(s(s(elem!1))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1387, 18125])).
% 4.04/4.23 tff(18127,plain,
% 4.04/4.23 (~r(s(s(s(elem!1))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[2599, 18126, 405])).
% 4.04/4.23 tff(18128,plain,
% 4.04/4.23 (b(s(s(s(elem!1))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1990, 18127])).
% 4.04/4.23 tff(18129,plain,
% 4.04/4.23 (~r(s(z), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[5440, 1854, 1353])).
% 4.04/4.23 tff(18130,plain,
% 4.04/4.23 (b(s(z), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[26, 18129])).
% 4.04/4.23 tff(18131,plain,
% 4.04/4.23 (~b(z, s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[7103, 18130, 1021, 1131, 706])).
% 4.04/4.23 tff(18132,plain,
% 4.04/4.23 (r(z, s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[403, 18131])).
% 4.04/4.23 tff(18133,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[17212, 82, 1353, 1854, 18132])).
% 4.04/4.23 tff(18134,plain,((~r(s(z), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18135,plain,
% 4.04/4.23 (~r(s(z), s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18134, 706, 1021, 1131, 1353])).
% 4.04/4.23 tff(18136,plain,
% 4.04/4.23 (~b(s(z), s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[17059, 706, 5431, 2636, 1929])).
% 4.04/4.23 tff(18137,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1870, 18136, 18135])).
% 4.04/4.23 tff(18138,plain,((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18139,plain,
% 4.04/4.23 (~b(s(z), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18138, 18128, 1131, 1021, 1929, 2636, 18117])).
% 4.04/4.23 tff(18140,plain,
% 4.04/4.23 (r(s(z), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[701, 18139, 691])).
% 4.04/4.23 tff(18141,plain,
% 4.04/4.23 (~b(s(elem!1), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13508, 315, 2636, 1564, 1929])).
% 4.04/4.23 tff(18142,plain,
% 4.04/4.23 (r(s(elem!1), elem!1)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[312, 18141, 306])).
% 4.04/4.23 tff(18143,plain,
% 4.04/4.23 (~r(s(z), s(elem!1))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[3061, 82, 18142, 18140])).
% 4.04/4.23 tff(18144,plain,
% 4.04/4.23 (b(s(z), s(elem!1))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1985, 21, 3058, 18143])).
% 4.04/4.23 tff(18145,plain,
% 4.04/4.23 (~r(s(elem!1), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[4255, 82, 18142, 18140])).
% 4.04/4.23 tff(18146,plain,
% 4.04/4.23 (b(s(elem!1), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[2070, 18145, 1917])).
% 4.04/4.23 tff(18147,plain,
% 4.04/4.23 (~r(s(elem!1), s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[3077, 18142, 279])).
% 4.04/4.23 tff(18148,plain,
% 4.04/4.23 (b(s(elem!1), s(s(elem!1)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1827, 21, 18147, 1788])).
% 4.04/4.23 tff(18149,plain,
% 4.04/4.23 (~r(s(s(elem!1)), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[6554, 82, 254, 18140])).
% 4.04/4.23 tff(18150,plain,
% 4.04/4.23 ((s(s(elem!1)) = s(z)) | b(s(s(elem!1)), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[782, 21, 18149])).
% 4.04/4.23 tff(18151,plain,
% 4.04/4.23 (b(s(s(elem!1)), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18150, 2538])).
% 4.04/4.23 tff(18152,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[3092, 18151, 18148, 747, 18146, 18144])).
% 4.04/4.23 tff(18153,plain,((~b(elem!1, s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (s(elem!1) = s(z)) | (~r(s(s(elem!1)), elem!1)) | (s(z) = elem!1) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(z), z)) | (~r(elem!1, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~b(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18154,plain,
% 4.04/4.23 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18153, 1929, 10179, 405, 691, 315, 12004, 1131, 1021, 747, 254, 279, 306, 2636])).
% 4.04/4.23 tff(18155,plain,
% 4.04/4.23 (r(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1515, 18154, 215])).
% 4.04/4.23 tff(18156,plain,
% 4.04/4.23 (~b(z, s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[16284, 1929, 1021, 1131, 2636])).
% 4.04/4.23 tff(18157,plain,
% 4.04/4.23 (r(z, s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1373, 18156])).
% 4.04/4.23 tff(18158,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[7046, 18157, 18155, 1815])).
% 4.04/4.23 tff(18159,plain,((~b(elem!1, s(s(s(elem!1))))) | (~r(s(elem!1), z)) | (s(elem!1) = s(s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(z), z)) | (s(z) = elem!1) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (s(elem!1) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(18160,plain,
% 4.04/4.23 (~b(elem!1, s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[18159, 17837, 210, 1021, 18059, 18115, 405, 691, 18110, 18086, 18069, 18071, 294])).
% 4.04/4.23 tff(18161,plain,
% 4.04/4.23 (r(elem!1, s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1946, 18160, 17899])).
% 4.04/4.23 tff(18162,plain,
% 4.04/4.23 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[6487, 18161, 18069])).
% 4.04/4.24 tff(18163,plain,
% 4.04/4.24 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2619, 18162, 7060])).
% 4.04/4.24 tff(18164,plain,
% 4.04/4.24 (~b(z, s(s(s(elem!1))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[12266, 18163, 190, 18090, 18104])).
% 4.04/4.24 tff(18165,plain,
% 4.04/4.24 (r(z, s(s(s(elem!1))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1373, 18164])).
% 4.04/4.24 tff(18166,plain,
% 4.04/4.24 (~r(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[16343, 18165, 164])).
% 4.04/4.24 tff(18167,plain,
% 4.04/4.24 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[183])).
% 4.04/4.24 tff(18168,plain,
% 4.04/4.24 (r(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[2043, 18167])).
% 4.04/4.24 tff(18169,assumption,(~r(s(s(s(elem!1))), s(s(s(z))))), introduced(assumption)).
% 4.04/4.24 tff(18170,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18169, 18168])).
% 4.04/4.24 tff(18171,plain,((~r(s(s(s(elem!1))), s(elem!1))) | r(s(s(s(elem!1))), s(s(s(z)))) | (~(s(s(elem!1)) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18172,plain,
% 4.04/4.24 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18171, 18166, 178])).
% 4.04/4.24 tff(18173,plain,
% 4.04/4.24 (b(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1971, 18172, 218])).
% 4.04/4.24 tff(18174,plain,
% 4.04/4.24 (b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18173, 17831])).
% 4.04/4.24 tff(18175,plain,
% 4.04/4.24 (b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18174, 17830])).
% 4.04/4.24 tff(18176,plain,
% 4.04/4.24 (b(s(s(s(z))), s(s(s(s(s(z)))))) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[17828])).
% 4.04/4.24 tff(18177,plain,
% 4.04/4.24 (b(s(s(s(z))), s(s(s(elem!1)))) <=> b(s(s(s(z))), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(symmetry,[status(thm)],[18176])).
% 4.04/4.24 tff(18178,plain,
% 4.04/4.24 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[8491, 18165, 164])).
% 4.04/4.24 tff(18179,plain,
% 4.04/4.24 (b(s(s(s(z))), s(s(s(elem!1))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[3784, 18178, 12494])).
% 4.04/4.24 tff(18180,plain,
% 4.04/4.24 (b(s(s(s(z))), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18179, 18177])).
% 4.04/4.24 tff(18181,plain,
% 4.04/4.24 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(s(s(s(elem!1))), elem!1)),
% 4.04/4.24 inference(monotonicity,[status(thm)],[17828, 17906])).
% 4.04/4.24 tff(18182,plain,
% 4.04/4.24 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(s(s(z))))), s(s(z)))),
% 4.04/4.24 inference(symmetry,[status(thm)],[18181])).
% 4.04/4.24 tff(18183,plain,
% 4.04/4.24 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18115, 18182])).
% 4.04/4.24 tff(18184,plain,
% 4.04/4.24 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.24 inference(transitivity,[status(thm)],[16806, 17867])).
% 4.04/4.24 tff(18185,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18069, 18184])).
% 4.04/4.24 tff(18186,plain,
% 4.04/4.24 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[16190, 18104, 405, 1021, 542, 18086, 18113, 17882, 18057])).
% 4.04/4.24 tff(18187,plain,
% 4.04/4.24 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[10740, 18186, 17879])).
% 4.04/4.24 tff(18188,plain,
% 4.04/4.24 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[689, 18187])).
% 4.04/4.24 tff(18189,plain,
% 4.04/4.24 (~r(s(s(s(z))), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2472, 18188, 18185])).
% 4.04/4.24 tff(18190,plain,
% 4.04/4.24 (b(s(s(s(z))), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[639, 18189])).
% 4.04/4.24 tff(18191,plain,
% 4.04/4.24 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1457, 18089, 18185])).
% 4.04/4.24 tff(18192,plain,
% 4.04/4.24 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[534, 18191])).
% 4.04/4.24 tff(18193,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(18194,plain,
% 4.04/4.24 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(18195,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(z)))))))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[18194])).
% 4.04/4.24 tff(18196,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(transitivity,[status(thm)],[18195, 18193])).
% 4.04/4.24 tff(18197,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 4.04/4.24 inference(quant_inst,[status(thm)],[])).
% 4.04/4.24 tff(18198,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 4.04/4.24 tff(18199,plain,
% 4.04/4.24 (~b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18198, 338, 18192, 18190, 18183, 18180])).
% 4.04/4.24 tff(18200,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18199, 18175])).
% 4.04/4.24 tff(18201,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(z, elem!1)) | (~r(s(z), z)) | (s(z) = elem!1) | (elem!1 = s(s(s(z)))) | (elem!1 = s(s(elem!1))) | (~r(z, s(z))) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18202,plain,
% 4.04/4.24 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18201, 17825, 150, 27, 16900, 17826, 137, 1731, 8722, 16894, 175, 136])).
% 4.04/4.24 tff(18203,plain,
% 4.04/4.24 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[368, 18202, 62])).
% 4.04/4.24 tff(18204,plain,
% 4.04/4.24 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1237, 16900])).
% 4.04/4.24 tff(18205,plain,
% 4.04/4.24 (~r(z, s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[16634, 1731, 438, 150])).
% 4.04/4.24 tff(18206,plain,
% 4.04/4.24 (b(z, s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[391, 18205])).
% 4.04/4.24 tff(18207,plain,
% 4.04/4.24 (~(s(s(s(z))) = s(elem!1))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[10692, 18202])).
% 4.04/4.24 tff(18208,plain,
% 4.04/4.24 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[4794, 18207])).
% 4.04/4.24 tff(18209,plain,
% 4.04/4.24 (~(s(s(s(z))) = elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1056, 17826])).
% 4.04/4.24 tff(18210,plain,
% 4.04/4.24 (~(s(s(elem!1)) = s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[10916, 12004])).
% 4.04/4.24 tff(18211,plain,
% 4.04/4.24 (~r(z, s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[16634, 1731, 542, 164])).
% 4.04/4.24 tff(18212,plain,
% 4.04/4.24 (b(z, s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[391, 18211])).
% 4.04/4.24 tff(18213,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[572, 487, 175, 18212, 164])).
% 4.04/4.24 tff(18214,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[68, 18213])).
% 4.04/4.24 tff(18215,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1457, 18214, 487])).
% 4.04/4.24 tff(18216,plain,
% 4.04/4.24 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1011, 18215])).
% 4.04/4.24 tff(18217,plain,
% 4.04/4.24 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[5079, 2911, 458, 457, 987])).
% 4.04/4.24 tff(18218,plain,
% 4.04/4.24 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[106, 18217])).
% 4.04/4.24 tff(18219,plain,
% 4.04/4.24 (~b(s(z), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[17989, 2911, 458, 987, 457, 175, 555, 164])).
% 4.04/4.24 tff(18220,plain,
% 4.04/4.24 (r(s(z), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[455, 18219])).
% 4.04/4.24 tff(18221,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[90, 18220, 18218, 71])).
% 4.04/4.24 tff(18222,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18223,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18222, 18214, 542, 18216, 544, 175, 18212, 164])).
% 4.04/4.24 tff(18224,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[119, 18223])).
% 4.04/4.24 tff(18225,plain,
% 4.04/4.24 (~r(s(s(elem!1)), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[17354, 721, 405])).
% 4.04/4.24 tff(18226,plain,
% 4.04/4.24 (b(s(s(elem!1)), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[800, 18225])).
% 4.04/4.24 tff(18227,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[15263, 721, 108])).
% 4.04/4.24 tff(18228,plain,
% 4.04/4.24 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[10478, 18227, 4798])).
% 4.04/4.24 tff(18229,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[8821, 18228, 18226, 175, 8722, 555])).
% 4.04/4.24 tff(18230,plain,((~r(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18231,plain,
% 4.04/4.24 (~r(s(z), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18230, 18224, 8722, 18212, 4798, 175, 405])).
% 4.04/4.24 tff(18232,plain,
% 4.04/4.24 (b(s(z), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[743, 18231])).
% 4.04/4.24 tff(18233,plain,
% 4.04/4.24 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[16983, 18232, 542, 544, 11888, 6879, 370])).
% 4.04/4.24 tff(18234,plain,
% 4.04/4.24 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[689, 18233])).
% 4.04/4.24 tff(18235,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2396, 18234, 426, 1731, 1021, 164, 1050, 18216, 18224])).
% 4.04/4.24 tff(18236,plain,
% 4.04/4.24 (~(s(s(s(s(z)))) = elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2409, 706, 458, 457, 987, 539])).
% 4.04/4.24 tff(18237,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1144, 18236, 4386])).
% 4.04/4.24 tff(18238,plain,
% 4.04/4.24 (~r(s(s(elem!1)), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2419, 18237, 370])).
% 4.04/4.24 tff(18239,plain,
% 4.04/4.24 (b(s(s(elem!1)), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[327, 18238, 207])).
% 4.04/4.24 tff(18240,plain,
% 4.04/4.24 (~r(elem!1, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1178, 18237, 108])).
% 4.04/4.24 tff(18241,plain,
% 4.04/4.24 (b(elem!1, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[819, 18240, 720])).
% 4.04/4.24 tff(18242,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[16974, 18241, 18239, 747, 706, 17682])).
% 4.04/4.24 tff(18243,plain,((~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (elem!1 = s(z)) | (s(s(elem!1)) = elem!1) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | b(s(s(s(s(z)))), elem!1) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18244,plain,
% 4.04/4.24 (~b(s(z), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18243, 18232, 697, 207, 18224, 370, 18235, 542, 544, 18216, 18234])).
% 4.04/4.24 tff(18245,plain,
% 4.04/4.24 (r(s(z), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[701, 18244, 691])).
% 4.04/4.24 tff(18246,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[3417, 18245, 18224])).
% 4.04/4.24 tff(18247,plain,
% 4.04/4.24 (s(s(s(s(z)))) = elem!1),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1144, 18246, 18235])).
% 4.04/4.24 tff(18248,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(s(z))) <=> r(elem!1, s(s(z)))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[18247])).
% 4.04/4.24 tff(18249,plain,
% 4.04/4.24 (r(elem!1, s(s(z)))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18214, 18248])).
% 4.04/4.24 tff(18250,plain,
% 4.04/4.24 (~r(s(s(elem!1)), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1230, 18232, 426, 11888, 542, 544])).
% 4.04/4.24 tff(18251,plain,
% 4.04/4.24 (b(s(s(elem!1)), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[800, 18250])).
% 4.04/4.24 tff(18252,plain,
% 4.04/4.24 (~r(elem!1, z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[828, 18245, 405])).
% 4.04/4.24 tff(18253,plain,
% 4.04/4.24 (b(elem!1, z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[846, 18252, 1037])).
% 4.04/4.24 tff(18254,plain,
% 4.04/4.24 (~b(s(s(elem!1)), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18067, 18253, 8722, 1021, 18251])).
% 4.04/4.24 tff(18255,plain,
% 4.04/4.24 (r(s(s(elem!1)), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[327, 18254, 207])).
% 4.04/4.24 tff(18256,plain,
% 4.04/4.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(z)))) | (~r(elem!1, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(18257,plain,
% 4.04/4.24 (((~r(elem!1, s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), elem!1))) <=> ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(18258,plain,
% 4.04/4.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(z)))) | (~r(elem!1, s(s(z))))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[18257])).
% 4.04/4.24 tff(18259,plain,
% 4.04/4.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 4.04/4.24 inference(transitivity,[status(thm)],[18258, 18256])).
% 4.04/4.24 tff(18260,plain,
% 4.04/4.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), elem!1)))),
% 4.04/4.24 inference(quant_inst,[status(thm)],[])).
% 4.04/4.24 tff(18261,plain,
% 4.04/4.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(z)))) | (~r(elem!1, s(s(z))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18260, 18259])).
% 4.04/4.24 tff(18262,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18261, 82, 254, 3547, 17007])).
% 4.04/4.24 tff(18263,plain,((~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18264,plain,
% 4.04/4.24 (~r(s(s(elem!1)), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18263, 18255, 18249])).
% 4.04/4.24 tff(18265,plain,
% 4.04/4.24 (~r(s(z), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[113, 18224, 18214])).
% 4.04/4.24 tff(18266,plain,
% 4.04/4.24 (b(s(z), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[455, 18265])).
% 4.04/4.24 tff(18267,plain,
% 4.04/4.24 (~r(s(s(z)), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[464, 18224, 18214])).
% 4.04/4.24 tff(18268,plain,
% 4.04/4.24 (b(s(s(z)), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[472, 18267])).
% 4.04/4.24 tff(18269,plain,
% 4.04/4.24 (~r(s(s(elem!1)), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2354, 18224, 370])).
% 4.04/4.24 tff(18270,plain,
% 4.04/4.24 (b(s(s(elem!1)), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[784, 18269])).
% 4.04/4.24 tff(18271,plain,
% 4.04/4.24 (~b(s(s(elem!1)), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11079, 18232, 18270, 18268, 18266])).
% 4.04/4.24 tff(18272,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11083, 21, 18271, 18264, 18210])).
% 4.04/4.24 tff(18273,plain,((~r(s(s(z)), s(s(s(z))))) | (s(s(elem!1)) = elem!1) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~r(s(z), z)) | (s(z) = elem!1) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(z, s(z))) | (~r(z, s(s(s(z))))) | (elem!1 = s(s(s(z)))) | (s(s(elem!1)) = s(s(s(z)))) | (s(s(s(s(z)))) = s(s(elem!1))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18274,plain,
% 4.04/4.24 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18273, 17825, 8722, 197, 27, 16900, 18203, 136, 1731, 150, 17826, 16894, 18208, 175])).
% 4.04/4.24 tff(18275,plain,
% 4.04/4.24 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[534, 18274])).
% 4.04/4.24 tff(18276,plain,
% 4.04/4.24 (~r(s(z), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2503, 540, 175, 405, 1731, 17843])).
% 4.04/4.24 tff(18277,plain,
% 4.04/4.24 (b(s(z), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[455, 18276])).
% 4.04/4.24 tff(18278,plain,
% 4.04/4.24 (~b(z, s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[17852, 18277, 458, 405, 175, 17843, 540, 164])).
% 4.04/4.24 tff(18279,plain,
% 4.04/4.24 (r(z, s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[563, 18278])).
% 4.04/4.24 tff(18280,plain,
% 4.04/4.24 (~b(s(s(z)), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[484, 18277, 458, 544, 476])).
% 4.04/4.24 tff(18281,plain,
% 4.04/4.24 (r(s(s(z)), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[472, 18280])).
% 4.04/4.24 tff(18282,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2514, 18281, 18279, 1731])).
% 4.04/4.24 tff(18283,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18284,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18283, 1731, 438, 18275, 27, 175, 150])).
% 4.04/4.24 tff(18285,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[68, 18284])).
% 4.04/4.24 tff(18286,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18230, 721, 8722, 555, 4798, 175, 405])).
% 4.04/4.24 tff(18287,plain,
% 4.04/4.24 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[119, 18286])).
% 4.04/4.24 tff(18288,plain,
% 4.04/4.24 (~r(s(s(elem!1)), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7269, 754, 721])).
% 4.04/4.24 tff(18289,plain,
% 4.04/4.24 (~r(elem!1, s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[8741, 754, 721])).
% 4.04/4.24 tff(18290,plain,
% 4.04/4.24 (~r(elem!1, z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[828, 754, 405])).
% 4.04/4.24 tff(18291,plain,
% 4.04/4.24 (b(elem!1, z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[846, 18290, 1037])).
% 4.04/4.24 tff(18292,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[8731, 328, 322, 8722, 1021, 1131])).
% 4.04/4.24 tff(18293,plain,((elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, z)) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18294,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18293, 18291, 18289, 137, 8722, 1021, 18288])).
% 4.04/4.24 tff(18295,plain,((~r(s(z), elem!1)) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18296,plain,
% 4.04/4.24 (~r(s(z), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18295, 721, 8722, 1021, 137, 405])).
% 4.04/4.24 tff(18297,plain,
% 4.04/4.24 (b(s(z), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[701, 18296, 691])).
% 4.04/4.24 tff(18298,plain,
% 4.04/4.24 (~r(elem!1, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[17366, 721, 137, 8722, 405, 1037, 763])).
% 4.04/4.24 tff(18299,plain,
% 4.04/4.24 (b(elem!1, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[819, 18298, 720])).
% 4.04/4.24 tff(18300,plain,
% 4.04/4.24 (~b(s(s(s(z))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[6908, 18299, 542, 457, 706])).
% 4.04/4.24 tff(18301,plain,
% 4.04/4.24 (r(s(s(s(z))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1110, 18300, 1103])).
% 4.04/4.24 tff(18302,plain,
% 4.04/4.24 (~b(elem!1, z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18067, 18226, 8722, 1021, 763])).
% 4.04/4.24 tff(18303,plain,
% 4.04/4.24 (r(elem!1, z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[846, 18302, 1037])).
% 4.04/4.24 tff(18304,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2394, 82, 18303, 18301, 426])).
% 4.04/4.24 tff(18305,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = elem!1) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (elem!1 = s(z)) | (elem!1 = s(s(elem!1))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18306,plain,
% 4.04/4.24 (~r(s(z), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18305, 763, 1103, 457, 706, 8722, 1021, 426, 720, 137, 405])).
% 4.04/4.24 tff(18307,plain,
% 4.04/4.24 (b(s(z), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[743, 18306])).
% 4.04/4.24 tff(18308,plain,
% 4.04/4.24 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[16983, 18307, 542, 457, 871, 6879, 370])).
% 4.04/4.24 tff(18309,plain,
% 4.04/4.24 ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[6928, 338, 763, 706, 542, 2911])).
% 4.04/4.24 tff(18310,plain,
% 4.04/4.24 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18309, 18307])).
% 4.04/4.24 tff(18311,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[689, 18310, 18308])).
% 4.04/4.24 tff(18312,plain,((~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (s(s(s(z))) = elem!1) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~r(s(s(s(z))), z)) | (elem!1 = s(z)) | (elem!1 = s(s(elem!1))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18313,plain,
% 4.04/4.24 (~b(s(s(elem!1)), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18312, 18297, 18287, 544, 11888, 6879, 370, 1103, 8722, 1021, 426, 697, 137, 405])).
% 4.04/4.24 tff(18314,plain,
% 4.04/4.24 (r(s(s(elem!1)), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[327, 18313, 197])).
% 4.04/4.24 tff(18315,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2419, 18314, 370])).
% 4.04/4.24 tff(18316,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18222, 18287, 542, 71, 544, 175, 555, 164])).
% 4.04/4.24 tff(18317,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1011, 18316])).
% 4.04/4.24 tff(18318,plain,
% 4.04/4.24 (~b(s(s(s(z))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[6908, 820, 542, 457, 706])).
% 4.04/4.24 tff(18319,plain,
% 4.04/4.24 (r(s(s(s(z))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1110, 18318, 1103])).
% 4.04/4.24 tff(18320,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[2394, 82, 802, 18319, 426])).
% 4.04/4.24 tff(18321,plain,((~r(elem!1, z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = elem!1) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1)) | (elem!1 = s(z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18322,plain,
% 4.04/4.24 (~r(elem!1, z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18321, 18297, 1103, 544, 426, 697, 405])).
% 4.04/4.24 tff(18323,plain,
% 4.04/4.24 (b(elem!1, z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[846, 18322, 1037])).
% 4.04/4.24 tff(18324,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), elem!1)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1139, 18323, 164, 18317, 1021])).
% 4.04/4.24 tff(18325,plain,
% 4.04/4.24 (s(s(s(s(z)))) = elem!1),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1144, 18324, 18315])).
% 4.04/4.24 tff(18326,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(s(z))) <=> r(elem!1, s(s(z)))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[18325])).
% 4.04/4.24 tff(18327,plain,
% 4.04/4.24 (r(elem!1, s(s(z)))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[71, 18326])).
% 4.04/4.24 tff(18328,plain,
% 4.04/4.24 (~r(s(s(elem!1)), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18263, 18327, 18314])).
% 4.04/4.24 tff(18329,plain,
% 4.04/4.24 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[6920, 18314, 164, 1021, 370, 405, 697, 542, 18317, 1103, 18287, 18297])).
% 4.04/4.24 tff(18330,plain,
% 4.04/4.24 (b(s(s(elem!1)), s(s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[6881, 18329, 6879])).
% 4.04/4.24 tff(18331,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[8821, 18226, 175, 8722, 555])).
% 4.04/4.24 tff(18332,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[10478, 18331, 4798])).
% 4.04/4.24 tff(18333,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[17740, 82, 1038, 163, 10491])).
% 4.04/4.24 tff(18334,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(18335,plain,
% 4.04/4.24 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18334, 18317, 18332])).
% 4.04/4.24 tff(18336,plain,
% 4.04/4.24 (b(s(s(s(z))), s(s(elem!1)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[6754, 18335, 11888])).
% 4.04/4.24 tff(18337,assumption,(~r(s(s(elem!1)), s(s(z)))), introduced(assumption)).
% 4.04/4.24 tff(18338,plain,
% 4.04/4.24 (b(s(s(elem!1)), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11083, 21, 18337, 10936])).
% 4.04/4.24 tff(18339,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(18340,plain,
% 4.04/4.24 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(18341,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z))))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[18340])).
% 4.04/4.24 tff(18342,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.04/4.24 inference(transitivity,[status(thm)],[18341, 18339])).
% 4.04/4.24 tff(18343,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))),
% 4.04/4.24 inference(quant_inst,[status(thm)],[])).
% 4.04/4.24 tff(18344,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[18343, 18342])).
% 4.04/4.24 tff(18345,plain,
% 4.04/4.24 ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(z))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18344, 338, 6387, 8722, 476, 3485])).
% 4.04/4.24 tff(18346,plain,
% 4.04/4.24 (~b(z, s(s(s(elem!1))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[18345, 18338])).
% 4.04/4.24 tff(18347,plain,
% 4.04/4.24 (r(z, s(s(s(elem!1))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1373, 18346])).
% 4.04/4.24 tff(18348,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(18349,plain,
% 4.04/4.24 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(18350,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(z))))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[18349])).
% 4.04/4.24 tff(18351,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.04/4.25 inference(transitivity,[status(thm)],[18350, 18348])).
% 4.04/4.25 tff(18352,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))))),
% 4.04/4.25 inference(quant_inst,[status(thm)],[])).
% 4.04/4.25 tff(18353,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(z))))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[18352, 18351])).
% 4.04/4.25 tff(18354,plain,
% 4.04/4.25 ((~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18353, 338, 6387, 476, 3254, 3485])).
% 4.04/4.25 tff(18355,plain,
% 4.04/4.25 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18354, 18338])).
% 4.04/4.25 tff(18356,plain,
% 4.04/4.25 (r(s(s(s(z))), s(s(s(elem!1))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[3784, 18355, 3778])).
% 4.04/4.25 tff(18357,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[8491, 18356, 18347, 164])).
% 4.04/4.25 tff(18358,plain,((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (s(s(s(z))) = s(s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | r(s(s(elem!1)), s(s(z))) | (s(s(elem!1)) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18359,plain,
% 4.04/4.25 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18358, 18336, 12494, 476, 164, 18330, 8722, 18328, 18210])).
% 4.04/4.25 tff(18360,plain,
% 4.04/4.25 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1292, 18359, 2180])).
% 4.04/4.25 tff(18361,plain,
% 4.04/4.25 (~r(s(z), s(s(s(elem!1))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4223, 18360, 721])).
% 4.04/4.25 tff(18362,plain,
% 4.04/4.25 (b(s(z), s(s(s(elem!1))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1870, 18361])).
% 4.04/4.25 tff(18363,plain,
% 4.04/4.25 (~r(s(s(s(elem!1))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4215, 18360, 721])).
% 4.04/4.25 tff(18364,plain,
% 4.04/4.25 (b(s(s(s(elem!1))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1990, 18363])).
% 4.04/4.25 tff(18365,plain,
% 4.04/4.25 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.04/4.25 inference(transitivity,[status(thm)],[1013, 3647])).
% 4.04/4.25 tff(18366,plain,
% 4.04/4.25 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(elem!1))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18365])).
% 4.04/4.25 tff(18367,plain,
% 4.04/4.25 (s(s(s(z))) = s(s(elem!1))),
% 4.04/4.25 inference(transitivity,[status(thm)],[45, 18366, 204])).
% 4.04/4.25 tff(18368,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[871, 18367])).
% 4.04/4.25 tff(18369,plain,((~(s(s(s(elem!1))) = elem!1)) | (s(s(s(z))) = s(s(elem!1))) | (~(s(s(s(s(z)))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18370,plain,
% 4.04/4.25 (~(s(s(s(elem!1))) = elem!1)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18369, 18325, 11888])).
% 4.04/4.25 tff(18371,plain,
% 4.04/4.25 (~r(s(s(s(elem!1))), elem!1)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1299, 18360, 18314])).
% 4.04/4.25 tff(18372,plain,
% 4.04/4.25 (b(s(s(s(elem!1))), elem!1)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[2162, 18371, 18370])).
% 4.04/4.25 tff(18373,plain,
% 4.04/4.25 (~(elem!1 = s(s(s(elem!1))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1924, 18370])).
% 4.04/4.25 tff(18374,plain,
% 4.04/4.25 (~b(elem!1, s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[8965, 18323, 8722, 1021, 18226])).
% 4.04/4.25 tff(18375,plain,
% 4.04/4.25 (r(elem!1, s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[321, 18374, 137])).
% 4.04/4.25 tff(18376,plain,
% 4.04/4.25 (~r(elem!1, s(s(s(elem!1))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4436, 18360, 18375])).
% 4.04/4.25 tff(18377,plain,
% 4.04/4.25 (b(elem!1, s(s(s(elem!1))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1946, 18376, 18373])).
% 4.04/4.25 tff(18378,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[17059, 18377, 18372, 18297, 18364, 18362])).
% 4.04/4.25 tff(18379,plain,((~r(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (elem!1 = s(s(elem!1))) | (~b(z, elem!1)) | (s(s(s(z))) = elem!1) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (s(z) = elem!1) | (s(s(s(s(z)))) = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18380,plain,
% 4.04/4.25 (~r(s(z), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18379, 18275, 150, 8722, 18285, 137, 17825, 18209, 136, 27, 16894, 18203, 16900, 18208, 175, 18206])).
% 4.04/4.25 tff(18381,plain,
% 4.04/4.25 (b(s(z), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[743, 18380])).
% 4.04/4.25 tff(18382,plain,
% 4.04/4.25 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[16983, 18381, 438, 425, 18204, 16894, 18203])).
% 4.04/4.25 tff(18383,plain,
% 4.04/4.25 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[689, 18382])).
% 4.04/4.25 tff(18384,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[484, 17688, 17690, 458, 457, 476])).
% 4.04/4.25 tff(18385,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18386,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18385, 18275, 425, 438, 18285])).
% 4.04/4.25 tff(18387,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[119, 18386])).
% 4.04/4.25 tff(18388,plain,
% 4.04/4.25 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(18389,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18388])).
% 4.04/4.25 tff(18390,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.25 inference(transitivity,[status(thm)],[18389, 18045])).
% 4.04/4.25 tff(18391,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.04/4.25 inference(quant_inst,[status(thm)],[])).
% 4.04/4.25 tff(18392,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[18391, 18390])).
% 4.04/4.25 tff(18393,plain,
% 4.04/4.25 (~b(s(z), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18392, 338, 18275, 425, 438, 18387, 18383])).
% 4.04/4.25 tff(18394,plain,
% 4.04/4.25 (r(s(z), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[455, 18393])).
% 4.04/4.25 tff(18395,plain,
% 4.04/4.25 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[90, 18394, 18285])).
% 4.04/4.25 tff(18396,plain,
% 4.04/4.25 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[106, 18395])).
% 4.04/4.25 tff(18397,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[12526, 338, 425, 438, 18396, 18387, 18383])).
% 4.04/4.25 tff(18398,plain,((~r(z, s(z))) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(s(z)))) | b(s(s(s(z))), z) | b(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18399,plain,
% 4.04/4.25 (~r(z, s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18398, 1, 137, 175, 62, 138, 129, 8722])).
% 4.04/4.25 tff(18400,plain,
% 4.04/4.25 (b(z, s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[403, 18399])).
% 4.04/4.25 tff(18401,plain,
% 4.04/4.25 (~r(z, s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[16097, 18400, 150, 27, 175, 136])).
% 4.04/4.25 tff(18402,plain,
% 4.04/4.25 (b(z, s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[391, 18401])).
% 4.04/4.25 tff(18403,plain,
% 4.04/4.25 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[572, 487, 175, 555, 164])).
% 4.04/4.25 tff(18404,plain,
% 4.04/4.25 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[68, 18403])).
% 4.04/4.25 tff(18405,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1457, 18404, 487])).
% 4.04/4.25 tff(18406,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1011, 18405])).
% 4.04/4.25 tff(18407,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[536, 18404, 164, 458, 486, 457])).
% 4.04/4.25 tff(18408,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[119, 18407])).
% 4.04/4.25 tff(18409,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18222, 18408, 18406, 458, 18404, 457, 175, 555, 164])).
% 4.04/4.25 tff(18410,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18411,plain,
% 4.04/4.25 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18410, 438, 425, 175, 18402, 150, 18400])).
% 4.04/4.25 tff(18412,plain,
% 4.04/4.25 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[534, 18411])).
% 4.04/4.25 tff(18413,plain,
% 4.04/4.25 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[16111, 486, 164, 175, 426, 405])).
% 4.04/4.25 tff(18414,plain,
% 4.04/4.25 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[673, 540, 164, 405, 175, 426])).
% 4.04/4.25 tff(18415,plain,
% 4.04/4.25 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[689, 18414])).
% 4.04/4.25 tff(18416,plain,
% 4.04/4.25 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[16983, 747, 458, 457, 871, 6879, 911])).
% 4.04/4.25 tff(18417,plain,
% 4.04/4.25 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[368, 18416, 62])).
% 4.04/4.25 tff(18418,plain,
% 4.04/4.25 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18417])).
% 4.04/4.25 tff(18419,plain,
% 4.04/4.25 (b(s(z), s(s(s(s(z))))) <=> b(s(z), s(s(elem!1)))),
% 4.04/4.25 inference(symmetry,[status(thm)],[18418])).
% 4.04/4.25 tff(18420,plain,
% 4.04/4.25 ((~b(s(z), s(s(s(s(z)))))) <=> (~b(s(z), s(s(elem!1))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18419])).
% 4.04/4.25 tff(18421,plain,
% 4.04/4.25 (~b(s(z), s(s(elem!1)))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[16949, 18420])).
% 4.04/4.25 tff(18422,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[747, 18421])).
% 4.04/4.25 tff(18423,plain,((~b(s(z), s(s(elem!1)))) | b(s(z), s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18424,plain,
% 4.04/4.25 (~b(s(z), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18423, 18415, 62, 542, 544, 871, 6879, 18413])).
% 4.04/4.25 tff(18425,plain,
% 4.04/4.25 (r(s(z), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[743, 18424])).
% 4.04/4.25 tff(18426,plain,
% 4.04/4.25 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18410, 542, 544, 175, 16103, 164, 486])).
% 4.04/4.25 tff(18427,plain,
% 4.04/4.25 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[534, 18426])).
% 4.04/4.25 tff(18428,plain,
% 4.04/4.25 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[106, 18413])).
% 4.04/4.25 tff(18429,plain,
% 4.04/4.25 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[593, 18427, 542, 544, 18428])).
% 4.04/4.25 tff(18430,plain,
% 4.04/4.25 (b(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[598, 18429, 61])).
% 4.04/4.25 tff(18431,plain,
% 4.04/4.25 (~b(z, s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[982, 540, 175, 16103, 18430])).
% 4.04/4.25 tff(18432,plain,
% 4.04/4.25 (r(z, s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[563, 18431])).
% 4.04/4.25 tff(18433,plain,
% 4.04/4.25 (~r(s(z), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[619, 18432, 405])).
% 4.04/4.25 tff(18434,plain,
% 4.04/4.25 (b(s(z), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[455, 18433])).
% 4.04/4.25 tff(18435,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(18436,plain,
% 4.04/4.25 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(18437,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z))))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18436])).
% 4.04/4.25 tff(18438,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.25 inference(transitivity,[status(thm)],[18437, 18435])).
% 4.04/4.25 tff(18439,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.25 inference(quant_inst,[status(thm)],[])).
% 4.04/4.25 tff(18440,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z))))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[18439, 18438])).
% 4.04/4.25 tff(18441,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18440, 338, 476, 486, 457, 474, 2911, 175])).
% 4.04/4.25 tff(18442,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18443,plain,
% 4.04/4.25 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18442, 18434, 486, 544, 18427, 175])).
% 4.04/4.25 tff(18444,plain,
% 4.04/4.25 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[119, 18443])).
% 4.04/4.25 tff(18445,plain,
% 4.04/4.25 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18230, 18425, 8722, 16103, 18444, 175, 405])).
% 4.04/4.25 tff(18446,plain,
% 4.04/4.25 (s(s(s(z))) = s(elem!1)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4794, 18445])).
% 4.04/4.25 tff(18447,plain,
% 4.04/4.25 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[10692, 18446])).
% 4.04/4.25 tff(18448,plain,
% 4.04/4.25 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18447])).
% 4.04/4.25 tff(18449,plain,
% 4.04/4.25 (s(elem!1) = s(s(s(z)))),
% 4.04/4.25 inference(transitivity,[status(thm)],[182, 18448, 44])).
% 4.04/4.25 tff(18450,plain,
% 4.04/4.25 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18449])).
% 4.04/4.25 tff(18451,plain,
% 4.04/4.25 (elem!1 = s(s(z))),
% 4.04/4.25 inference(transitivity,[status(thm)],[5450, 18450, 52])).
% 4.04/4.25 tff(18452,plain,
% 4.04/4.25 ((z = elem!1) <=> (z = s(s(z)))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18451])).
% 4.04/4.25 tff(18453,plain,
% 4.04/4.25 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.04/4.25 inference(transitivity,[status(thm)],[18452, 3889])).
% 4.04/4.25 tff(18454,plain,
% 4.04/4.25 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.04/4.25 inference(symmetry,[status(thm)],[18453])).
% 4.04/4.25 tff(18455,plain,
% 4.04/4.25 ((s(s(z)) = z) <=> (elem!1 = z)),
% 4.04/4.25 inference(transitivity,[status(thm)],[18454, 2749])).
% 4.04/4.25 tff(18456,plain,
% 4.04/4.25 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18455])).
% 4.04/4.25 tff(18457,plain,
% 4.04/4.25 (~(elem!1 = z)),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[56, 18456])).
% 4.04/4.25 tff(18458,plain,
% 4.04/4.25 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18447])).
% 4.04/4.25 tff(18459,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.04/4.25 inference(symmetry,[status(thm)],[18458])).
% 4.04/4.25 tff(18460,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18451])).
% 4.04/4.25 tff(18461,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.04/4.25 inference(symmetry,[status(thm)],[18460])).
% 4.04/4.25 tff(18462,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 4.04/4.25 inference(transitivity,[status(thm)],[18461, 18459])).
% 4.04/4.25 tff(18463,plain,
% 4.04/4.25 (b(s(s(elem!1)), elem!1)),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[540, 18462])).
% 4.04/4.25 tff(18464,plain,
% 4.04/4.25 (r(elem!1, s(z)) <=> r(s(s(z)), s(z))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18451])).
% 4.04/4.25 tff(18465,plain,
% 4.04/4.25 (r(s(s(z)), s(z)) <=> r(elem!1, s(z))),
% 4.04/4.25 inference(symmetry,[status(thm)],[18464])).
% 4.04/4.25 tff(18466,plain,
% 4.04/4.25 (~b(s(s(z)), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[484, 18434, 542, 544, 18427])).
% 4.04/4.25 tff(18467,plain,
% 4.04/4.25 (r(s(s(z)), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[472, 18466])).
% 4.04/4.25 tff(18468,plain,
% 4.04/4.25 (r(elem!1, s(z))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[18467, 18465])).
% 4.04/4.25 tff(18469,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[17366, 18468, 18463, 137, 8722, 405, 18457, 18425])).
% 4.04/4.25 tff(18470,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (s(s(elem!1)) = s(s(s(z)))) | (~b(z, s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18471,plain,
% 4.04/4.25 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18470, 27, 8722, 137, 175, 62, 18204, 16894, 18400, 150, 136])).
% 4.04/4.25 tff(18472,plain,
% 4.04/4.25 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[68, 18471])).
% 4.04/4.25 tff(18473,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[536, 18472, 150, 438, 18400, 425])).
% 4.04/4.25 tff(18474,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[119, 18473])).
% 4.04/4.25 tff(18475,plain,
% 4.04/4.25 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[16111, 18400, 150, 175, 136, 27])).
% 4.04/4.25 tff(18476,plain,
% 4.04/4.25 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[106, 18475])).
% 4.04/4.25 tff(18477,plain,
% 4.04/4.25 (~r(s(z), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[90, 18472, 18476])).
% 4.04/4.25 tff(18478,plain,
% 4.04/4.25 (b(s(z), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[455, 18477])).
% 4.04/4.25 tff(18479,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18442, 18478, 18474, 18400, 425, 18412, 175])).
% 4.04/4.25 tff(18480,plain,(b(s(z), z) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(s(z)))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18481,plain,
% 4.04/4.25 (b(s(z), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18480, 16887, 128, 137, 62, 138, 129])).
% 4.04/4.25 tff(18482,plain,
% 4.04/4.25 (~r(s(z), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[432, 427, 426])).
% 4.04/4.25 tff(18483,plain,
% 4.04/4.25 (b(s(z), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[26, 18482])).
% 4.04/4.25 tff(18484,plain,
% 4.04/4.25 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7735, 18483, 175, 427, 16215])).
% 4.04/4.25 tff(18485,plain,
% 4.04/4.25 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[689, 18484])).
% 4.04/4.25 tff(18486,plain,
% 4.04/4.25 ((~b(z, s(s(s(s(z)))))) <=> (~b(z, s(s(elem!1))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[2321])).
% 4.04/4.25 tff(18487,plain,
% 4.04/4.25 (~b(z, s(s(elem!1)))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[386, 18486])).
% 4.04/4.25 tff(18488,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[8722, 18487])).
% 4.04/4.25 tff(18489,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(18490,plain,
% 4.04/4.25 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18489, 16529, 8722])).
% 4.04/4.25 tff(18491,plain,
% 4.04/4.25 (~(s(s(s(z))) = s(elem!1))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[10692, 18490])).
% 4.04/4.25 tff(18492,plain,
% 4.04/4.25 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4794, 18491])).
% 4.04/4.25 tff(18493,plain,
% 4.04/4.25 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[368, 18490, 62])).
% 4.04/4.25 tff(18494,plain,
% 4.04/4.25 (~r(s(s(elem!1)), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[2354, 18493, 16509])).
% 4.04/4.25 tff(18495,plain,
% 4.04/4.25 (b(s(s(elem!1)), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[784, 18494])).
% 4.04/4.25 tff(18496,plain,
% 4.04/4.25 (r(z, s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[391, 16529])).
% 4.04/4.25 tff(18497,plain,
% 4.04/4.25 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(18498,plain,
% 4.04/4.25 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), z))) <=> ((~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(18499,plain,
% 4.04/4.25 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18498])).
% 4.04/4.25 tff(18500,plain,
% 4.04/4.25 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 4.04/4.25 inference(transitivity,[status(thm)],[18499, 18497])).
% 4.04/4.25 tff(18501,plain,
% 4.04/4.25 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)))),
% 4.04/4.25 inference(quant_inst,[status(thm)],[])).
% 4.04/4.25 tff(18502,plain,
% 4.04/4.25 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[18501, 18500])).
% 4.04/4.25 tff(18503,plain,
% 4.04/4.25 (~r(s(s(elem!1)), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[18502, 82, 18496, 18493])).
% 4.04/4.25 tff(18504,plain,
% 4.04/4.25 (b(s(s(elem!1)), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[800, 18503])).
% 4.04/4.25 tff(18505,plain,
% 4.04/4.25 (~b(s(z), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[6963, 18504, 1740, 486, 18495])).
% 4.04/4.25 tff(18506,plain,
% 4.04/4.25 (r(s(z), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[743, 18505])).
% 4.04/4.25 tff(18507,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[15263, 18506, 16509])).
% 4.04/4.25 tff(18508,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[10478, 18507, 18492])).
% 4.04/4.25 tff(18509,plain,
% 4.04/4.25 (~r(s(z), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[113, 71, 16509])).
% 4.04/4.25 tff(18510,plain,
% 4.04/4.25 (b(s(z), s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[455, 18509])).
% 4.04/4.25 tff(18511,plain,
% 4.04/4.25 (~r(z, s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4062, 71, 486, 651, 1740])).
% 4.04/4.25 tff(18512,plain,
% 4.04/4.25 (b(z, s(s(z)))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[563, 18511])).
% 4.04/4.25 tff(18513,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(18514,plain,
% 4.04/4.25 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(18515,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z))))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[18514])).
% 4.04/4.25 tff(18516,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[18515, 18513])).
% 4.04/4.26 tff(18517,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(18518,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[18517, 18516])).
% 4.04/4.26 tff(18519,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18518, 338, 878, 486, 18512, 18510, 175, 3484])).
% 4.04/4.26 tff(18520,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(18521,plain,
% 4.04/4.26 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18520, 18504, 486, 175, 18508, 651, 1740])).
% 4.04/4.26 tff(18522,plain,
% 4.04/4.26 (b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[68, 18521])).
% 4.04/4.26 tff(18523,plain,
% 4.04/4.26 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1119, 18496, 164])).
% 4.04/4.26 tff(18524,plain,
% 4.04/4.26 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1011, 18523])).
% 4.04/4.26 tff(18525,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18526,plain,
% 4.04/4.26 (((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18527,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[18526])).
% 4.04/4.26 tff(18528,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[18527, 18525])).
% 4.04/4.26 tff(18529,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(18530,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[18529, 18528])).
% 4.04/4.26 tff(18531,plain,
% 4.04/4.26 (~b(s(z), s(s(s(z))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18530, 338, 18504, 651, 539, 175, 18508])).
% 4.04/4.26 tff(18532,plain,
% 4.04/4.26 (r(s(z), s(s(s(z))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[424, 18531])).
% 4.04/4.26 tff(18533,plain,
% 4.04/4.26 (~b(s(z), s(s(z)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[11283, 487, 164, 406, 486])).
% 4.04/4.26 tff(18534,plain,
% 4.04/4.26 (~r(s(z), s(s(z)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[13187, 487, 406])).
% 4.04/4.26 tff(18535,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[455, 18534, 18533])).
% 4.04/4.26 tff(18536,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(18537,plain,
% 4.04/4.26 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18536, 18532, 486, 164])).
% 4.04/4.26 tff(18538,plain,
% 4.04/4.26 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[534, 18537])).
% 4.04/4.26 tff(18539,plain,
% 4.04/4.26 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[13638, 18522, 539, 18538, 18524])).
% 4.04/4.26 tff(18540,plain,
% 4.04/4.26 (r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[598, 18539, 61])).
% 4.04/4.26 tff(18541,plain,
% 4.04/4.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18542,plain,
% 4.04/4.26 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18543,plain,
% 4.04/4.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[18542])).
% 4.04/4.26 tff(18544,plain,
% 4.04/4.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[18543, 18541])).
% 4.04/4.26 tff(18545,plain,
% 4.04/4.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(18546,plain,
% 4.04/4.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[18545, 18544])).
% 4.04/4.26 tff(18547,plain,
% 4.04/4.26 (~r(s(s(z)), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18546, 82, 18496, 18540])).
% 4.04/4.26 tff(18548,plain,
% 4.04/4.26 (b(s(s(z)), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[956, 18547])).
% 4.04/4.26 tff(18549,plain,
% 4.04/4.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18550,plain,
% 4.04/4.26 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18551,plain,
% 4.04/4.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[18550])).
% 4.04/4.26 tff(18552,plain,
% 4.04/4.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[18551, 18549])).
% 4.04/4.26 tff(18553,plain,
% 4.04/4.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(18554,plain,
% 4.04/4.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[18553, 18552])).
% 4.04/4.26 tff(18555,plain,
% 4.04/4.26 (~r(z, s(s(z)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18554, 82, 18496, 18540])).
% 4.04/4.26 tff(18556,plain,
% 4.04/4.26 (b(z, s(s(z)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[563, 18555])).
% 4.04/4.26 tff(18557,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18558,plain,
% 4.04/4.26 (((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(elem!1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18559,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(elem!1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1))))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[18558])).
% 4.04/4.26 tff(18560,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(elem!1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[18559, 18557])).
% 4.04/4.26 tff(18561,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(elem!1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(18562,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(elem!1))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[18561, 18560])).
% 4.04/4.26 tff(18563,plain,
% 4.04/4.26 (~b(s(s(z)), s(s(elem!1)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18562, 338, 18504, 18556, 18548, 18522, 175])).
% 4.04/4.26 tff(18564,plain,
% 4.04/4.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(elem!1)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18565,plain,
% 4.04/4.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(elem!1)))))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(18566,plain,
% 4.04/4.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(elem!1))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 4.04/4.26 tff(18567,plain,
% 4.04/4.26 (~r(s(s(z)), s(s(elem!1)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18566, 82, 18540, 18493])).
% 4.04/4.26 tff(18568,plain,
% 4.04/4.26 ((s(s(z)) = s(s(elem!1))) | b(s(s(z)), s(s(elem!1)))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[11262, 21, 18567])).
% 4.04/4.26 tff(18569,plain,
% 4.04/4.26 (s(s(z)) = s(s(elem!1))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18568, 18563])).
% 4.04/4.26 tff(18570,plain,
% 4.04/4.26 (b(s(s(z)), s(z)) <=> b(s(s(elem!1)), s(z))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[18569])).
% 4.04/4.26 tff(18571,plain,
% 4.04/4.26 (b(s(s(elem!1)), s(z)) <=> b(s(s(z)), s(z))),
% 4.04/4.26 inference(symmetry,[status(thm)],[18570])).
% 4.04/4.26 tff(18572,plain,
% 4.04/4.26 (b(s(s(z)), s(z))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[18495, 18571])).
% 4.04/4.26 tff(18573,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18574,plain,
% 4.04/4.26 (((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18575,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[18574])).
% 4.04/4.26 tff(18576,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[18575, 18573])).
% 4.04/4.26 tff(18577,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(18578,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[18577, 18576])).
% 4.04/4.26 tff(18579,plain,
% 4.04/4.26 (~b(s(s(z)), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18578, 338, 18556, 1740, 18548, 18522, 175])).
% 4.04/4.26 tff(18580,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18579, 18572])).
% 4.04/4.26 tff(18581,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(18582,plain,
% 4.04/4.26 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[18581, 18483, 175, 18485, 16215, 164, 62, 8722])).
% 4.04/4.26 tff(18583,plain,
% 4.04/4.26 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[106, 18582])).
% 4.04/4.26 tff(18584,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18585,plain,
% 4.04/4.26 (((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(18586,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[18585])).
% 4.04/4.27 tff(18587,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.04/4.27 inference(transitivity,[status(thm)],[18586, 18584])).
% 4.04/4.27 tff(18588,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))))),
% 4.04/4.27 inference(quant_inst,[status(thm)],[])).
% 4.04/4.27 tff(18589,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18588, 18587])).
% 4.04/4.27 tff(18590,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18589, 338, 8722, 16542, 486, 1740, 15162])).
% 4.04/4.27 tff(18591,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18592,plain,
% 4.04/4.27 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18591, 16215, 8722, 18483, 18583])).
% 4.04/4.27 tff(18593,plain,
% 4.04/4.27 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[368, 18592, 62])).
% 4.04/4.27 tff(18594,plain,
% 4.04/4.27 (s(s(s(elem!1))) = s(s(s(s(s(z)))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18593])).
% 4.04/4.27 tff(18595,plain,
% 4.04/4.27 (s(s(s(s(s(z))))) = s(s(s(elem!1)))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18594])).
% 4.04/4.27 tff(18596,plain,
% 4.04/4.27 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18593])).
% 4.04/4.27 tff(18597,plain,
% 4.04/4.27 (s(elem!1) = s(s(s(z)))),
% 4.04/4.27 inference(transitivity,[status(thm)],[182, 18596, 44])).
% 4.04/4.27 tff(18598,plain,
% 4.04/4.27 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18597])).
% 4.04/4.27 tff(18599,plain,
% 4.04/4.27 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18598])).
% 4.04/4.27 tff(18600,plain,
% 4.04/4.27 (s(s(z)) = elem!1),
% 4.04/4.27 inference(transitivity,[status(thm)],[53, 18599, 199])).
% 4.04/4.27 tff(18601,plain,
% 4.04/4.27 (b(s(s(z)), s(s(s(s(s(z)))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18600, 18595])).
% 4.04/4.27 tff(18602,plain,
% 4.04/4.27 (b(elem!1, s(s(s(elem!1)))) <=> b(s(s(z)), s(s(s(s(s(z))))))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18601])).
% 4.04/4.27 tff(18603,plain,
% 4.04/4.27 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[11454, 18593])).
% 4.04/4.27 tff(18604,plain,
% 4.04/4.27 (s(s(s(z))) = s(elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[4794, 18603])).
% 4.04/4.27 tff(18605,plain,
% 4.04/4.27 (s(elem!1) = s(s(s(z)))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[3985, 18604])).
% 4.04/4.27 tff(18606,plain,
% 4.04/4.27 (~(s(s(s(elem!1))) = elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[3655, 18605])).
% 4.04/4.27 tff(18607,plain,
% 4.04/4.27 (~(elem!1 = s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1924, 18606])).
% 4.04/4.27 tff(18608,plain,
% 4.04/4.27 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18593])).
% 4.04/4.27 tff(18609,plain,
% 4.04/4.27 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18608])).
% 4.04/4.27 tff(18610,plain,
% 4.04/4.27 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18597])).
% 4.04/4.27 tff(18611,plain,
% 4.04/4.27 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18610])).
% 4.04/4.27 tff(18612,plain,
% 4.04/4.27 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.04/4.27 inference(transitivity,[status(thm)],[18611, 18609])).
% 4.04/4.27 tff(18613,plain,
% 4.04/4.27 (b(s(elem!1), s(s(elem!1)))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18485, 18612])).
% 4.04/4.27 tff(18614,plain,
% 4.04/4.27 (r(z, s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[189, 18593, 164])).
% 4.04/4.27 tff(18615,plain,
% 4.04/4.27 (elem!1 = s(s(z))),
% 4.04/4.27 inference(transitivity,[status(thm)],[5450, 18598, 52])).
% 4.04/4.27 tff(18616,plain,
% 4.04/4.27 ((z = elem!1) <=> (z = s(s(z)))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18615])).
% 4.04/4.27 tff(18617,plain,
% 4.04/4.27 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.04/4.27 inference(transitivity,[status(thm)],[18616, 3889])).
% 4.04/4.27 tff(18618,plain,
% 4.04/4.27 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.04/4.27 inference(symmetry,[status(thm)],[18617])).
% 4.04/4.27 tff(18619,plain,
% 4.04/4.27 ((~(s(s(z)) = z)) <=> (~(z = elem!1))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18618])).
% 4.04/4.27 tff(18620,plain,
% 4.04/4.27 (~(z = elem!1)),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[56, 18619])).
% 4.04/4.27 tff(18621,plain,
% 4.04/4.27 (r(z, elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[353, 18620, 177])).
% 4.04/4.27 tff(18622,plain,
% 4.04/4.27 (~r(elem!1, s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[243, 18621, 18614])).
% 4.04/4.27 tff(18623,plain,
% 4.04/4.27 (b(elem!1, s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[252, 18622, 232])).
% 4.04/4.27 tff(18624,plain,
% 4.04/4.27 (~r(s(elem!1), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[303, 18621, 18614])).
% 4.04/4.27 tff(18625,plain,
% 4.04/4.27 (b(s(elem!1), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[312, 18624, 294])).
% 4.04/4.27 tff(18626,plain,
% 4.04/4.27 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18593])).
% 4.04/4.27 tff(18627,plain,
% 4.04/4.27 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18626])).
% 4.04/4.27 tff(18628,plain,
% 4.04/4.27 (r(s(z), s(s(elem!1)))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18583, 18627])).
% 4.04/4.27 tff(18629,plain,
% 4.04/4.27 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18593])).
% 4.04/4.27 tff(18630,plain,
% 4.04/4.27 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18593, 18629])).
% 4.04/4.27 tff(18631,plain,
% 4.04/4.27 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18630])).
% 4.04/4.27 tff(18632,plain,
% 4.04/4.27 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[62, 18631])).
% 4.04/4.27 tff(18633,plain,
% 4.04/4.27 (b(z, s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18489, 18593, 8722])).
% 4.04/4.27 tff(18634,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[3272, 338, 486, 1740, 2911, 175, 555])).
% 4.04/4.27 tff(18635,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18636,plain,
% 4.04/4.27 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18635, 16215, 18483, 175, 18633])).
% 4.04/4.27 tff(18637,plain,
% 4.04/4.27 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[119, 18636])).
% 4.04/4.27 tff(18638,plain,
% 4.04/4.27 (b(s(s(elem!1)), s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[15259, 18637, 18632, 18628, 427])).
% 4.04/4.27 tff(18639,plain,
% 4.04/4.27 (~b(s(s(elem!1)), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[8191, 18638, 18625, 18623, 18613])).
% 4.04/4.27 tff(18640,plain,
% 4.04/4.27 (r(s(s(elem!1)), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[327, 18639, 197])).
% 4.04/4.27 tff(18641,plain,
% 4.04/4.27 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18593])).
% 4.04/4.27 tff(18642,plain,
% 4.04/4.27 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 4.04/4.27 inference(symmetry,[status(thm)],[18641])).
% 4.04/4.27 tff(18643,plain,
% 4.04/4.27 (b(s(s(elem!1)), z)),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[175, 18642])).
% 4.04/4.27 tff(18644,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(18645,plain,
% 4.04/4.27 (((~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(18646,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18645])).
% 4.04/4.27 tff(18647,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.04/4.27 inference(transitivity,[status(thm)],[18646, 18644])).
% 4.04/4.27 tff(18648,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(elem!1)))))),
% 4.04/4.27 inference(quant_inst,[status(thm)],[])).
% 4.04/4.27 tff(18649,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18648, 18647])).
% 4.04/4.27 tff(18650,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18649, 338, 762, 316, 315, 314, 1620])).
% 4.04/4.27 tff(18651,plain,((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18652,plain,
% 4.04/4.27 (~b(elem!1, s(s(elem!1)))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18651, 18638, 18625, 18623, 18613])).
% 4.04/4.27 tff(18653,plain,
% 4.04/4.27 (r(elem!1, s(s(elem!1)))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[321, 18652, 137])).
% 4.04/4.27 tff(18654,plain,
% 4.04/4.27 (r(s(s(elem!1)), s(z)) <=> r(s(s(s(s(z)))), s(z))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18593])).
% 4.04/4.27 tff(18655,plain,
% 4.04/4.27 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18654])).
% 4.04/4.27 tff(18656,plain,
% 4.04/4.27 (r(s(s(elem!1)), s(z))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18637, 18655])).
% 4.04/4.27 tff(18657,plain,
% 4.04/4.27 (~(s(z) = elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[10349, 18485, 62])).
% 4.04/4.27 tff(18658,plain,
% 4.04/4.27 (~r(s(z), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[17495, 18639, 8722, 177, 18643])).
% 4.04/4.27 tff(18659,plain,
% 4.04/4.27 (b(s(z), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[701, 18658, 18657])).
% 4.04/4.27 tff(18660,plain,
% 4.04/4.27 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[17895, 18659, 18606, 18656, 18653, 18640, 18628])).
% 4.04/4.27 tff(18661,plain,
% 4.04/4.27 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1292, 18660, 2180])).
% 4.04/4.27 tff(18662,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[7574, 82, 234, 1950, 1353])).
% 4.04/4.27 tff(18663,plain,((~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18664,plain,
% 4.04/4.27 (~r(z, s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18663, 1950, 234])).
% 4.04/4.27 tff(18665,plain,
% 4.04/4.27 (b(z, s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1373, 18664])).
% 4.04/4.27 tff(18666,plain,
% 4.04/4.27 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[6487, 1950, 254])).
% 4.04/4.27 tff(18667,plain,
% 4.04/4.27 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[2619, 18666, 2614])).
% 4.04/4.27 tff(18668,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[12264, 18667, 18665, 8722, 6387, 878])).
% 4.04/4.27 tff(18669,plain,((~r(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18670,plain,
% 4.04/4.27 (~r(elem!1, s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18669, 18661, 18643, 18621, 7060, 8722, 18640])).
% 4.04/4.27 tff(18671,plain,
% 4.04/4.27 (b(elem!1, s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1946, 18670, 18607])).
% 4.04/4.27 tff(18672,plain,
% 4.04/4.27 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18671, 18602])).
% 4.04/4.27 tff(18673,plain,
% 4.04/4.27 (b(s(s(s(s(s(z))))), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18595])).
% 4.04/4.27 tff(18674,plain,
% 4.04/4.27 (b(s(s(s(elem!1))), s(s(s(z)))) <=> b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18673])).
% 4.04/4.27 tff(18675,plain,
% 4.04/4.27 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18597])).
% 4.04/4.27 tff(18676,plain,
% 4.04/4.27 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[7166, 1353, 233])).
% 4.04/4.27 tff(18677,plain,
% 4.04/4.27 (b(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1515, 18676, 215])).
% 4.04/4.27 tff(18678,plain,
% 4.04/4.27 (~r(s(elem!1), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[303, 233, 234])).
% 4.04/4.27 tff(18679,plain,
% 4.04/4.27 (b(s(elem!1), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[312, 18678, 306])).
% 4.04/4.27 tff(18680,plain,
% 4.04/4.27 (~r(elem!1, s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[243, 233, 234])).
% 4.04/4.27 tff(18681,plain,
% 4.04/4.27 (b(elem!1, s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[252, 18680, 246])).
% 4.04/4.27 tff(18682,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[13508, 18681, 18679, 2636, 1564, 1929])).
% 4.04/4.27 tff(18683,plain,((~r(z, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (elem!1 = s(elem!1)) | (s(elem!1) = elem!1) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18684,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18683, 18677, 6361, 234, 1929, 7156, 306, 233])).
% 4.04/4.27 tff(18685,plain,((~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (s(elem!1) = elem!1) | (~r(z, s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18686,plain,
% 4.04/4.27 (~r(z, s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18685, 18671, 18621, 294, 18606, 210, 18614])).
% 4.04/4.27 tff(18687,plain,
% 4.04/4.27 (b(z, s(s(s(elem!1))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1373, 18686])).
% 4.04/4.27 tff(18688,plain,
% 4.04/4.27 (~b(s(s(s(elem!1))), z)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[17927, 18687, 8722, 18661, 18643])).
% 4.04/4.27 tff(18689,plain,
% 4.04/4.27 (r(s(s(s(elem!1))), z)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1387, 18688])).
% 4.04/4.27 tff(18690,plain,
% 4.04/4.27 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[8904, 18689, 18614])).
% 4.04/4.27 tff(18691,plain,
% 4.04/4.27 (b(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1971, 18690, 218])).
% 4.04/4.27 tff(18692,plain,
% 4.04/4.27 (b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18691, 18675])).
% 4.04/4.27 tff(18693,plain,
% 4.04/4.27 (b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18692, 18674])).
% 4.04/4.27 tff(18694,plain,
% 4.04/4.27 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(s(s(s(elem!1))), elem!1)),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18595, 18600])).
% 4.04/4.27 tff(18695,plain,
% 4.04/4.27 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(s(s(z))))), s(s(z)))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18694])).
% 4.04/4.27 tff(18696,plain,
% 4.04/4.27 (~r(s(s(s(elem!1))), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[2157, 18689, 18621])).
% 4.04/4.27 tff(18697,plain,
% 4.04/4.27 (b(s(s(s(elem!1))), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[2162, 18696, 18606])).
% 4.04/4.27 tff(18698,plain,
% 4.04/4.27 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18697, 18695])).
% 4.04/4.27 tff(18699,plain,
% 4.04/4.27 (r(s(s(s(z))), s(s(z))) <=> r(s(s(s(z))), elem!1)),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18600])).
% 4.04/4.27 tff(18700,plain,
% 4.04/4.27 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), s(s(z)))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18699])).
% 4.04/4.27 tff(18701,plain,
% 4.04/4.27 ((~r(s(s(s(z))), elem!1)) <=> (~r(s(s(s(z))), s(s(z))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18700])).
% 4.04/4.27 tff(18702,plain,
% 4.04/4.27 (~r(s(s(s(z))), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[12126, 18621, 164])).
% 4.04/4.27 tff(18703,plain,
% 4.04/4.27 (~r(s(s(s(z))), s(s(z)))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18702, 18701])).
% 4.04/4.27 tff(18704,plain,
% 4.04/4.27 (b(s(s(s(z))), s(s(z)))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[639, 18703])).
% 4.04/4.27 tff(18705,plain,
% 4.04/4.27 (b(z, elem!1) <=> b(z, s(s(z)))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18615])).
% 4.04/4.27 tff(18706,plain,
% 4.04/4.27 ((~b(z, elem!1)) <=> (~b(z, s(s(z))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18705])).
% 4.04/4.27 tff(18707,plain,
% 4.04/4.27 (~b(z, s(s(z)))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[177, 18706])).
% 4.04/4.27 tff(18708,plain,
% 4.04/4.27 (r(z, s(s(z)))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[563, 18707])).
% 4.04/4.27 tff(18709,plain,
% 4.04/4.27 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[558, 18708, 164])).
% 4.04/4.27 tff(18710,plain,
% 4.04/4.27 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[534, 18709])).
% 4.04/4.27 tff(18711,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(18712,plain,
% 4.04/4.27 (((~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(18713,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z)))))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18712])).
% 4.04/4.27 tff(18714,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))))),
% 4.04/4.27 inference(transitivity,[status(thm)],[18713, 18711])).
% 4.04/4.27 tff(18715,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))))),
% 4.04/4.27 inference(quant_inst,[status(thm)],[])).
% 4.04/4.27 tff(18716,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z)))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18715, 18714])).
% 4.04/4.27 tff(18717,plain,
% 4.04/4.27 ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18716, 338, 18710, 18704])).
% 4.04/4.27 tff(18718,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18717, 18698, 18693, 18672])).
% 4.04/4.27 tff(18719,plain,((~r(s(s(s(z))), s(z))) | (~b(z, s(s(elem!1)))) | b(z, elem!1) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18720,plain,
% 4.04/4.27 (b(z, elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18719, 427, 8722, 137, 175, 150, 62, 426])).
% 4.04/4.27 tff(18721,plain,
% 4.04/4.27 (~(elem!1 = z)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1036, 18720])).
% 4.04/4.27 tff(18722,plain,
% 4.04/4.27 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18581, 10343, 175, 1740, 10341, 150, 62, 8722])).
% 4.04/4.27 tff(18723,plain,
% 4.04/4.27 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[106, 18722])).
% 4.04/4.27 tff(18724,plain,
% 4.04/4.27 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18591, 18723, 8722, 1740, 10341])).
% 4.04/4.27 tff(18725,plain,
% 4.04/4.27 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[368, 18724, 62])).
% 4.04/4.27 tff(18726,plain,
% 4.04/4.27 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18725])).
% 4.04/4.27 tff(18727,plain,
% 4.04/4.27 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18726])).
% 4.04/4.27 tff(18728,plain,
% 4.04/4.27 (r(s(z), s(s(elem!1)))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18723, 18727])).
% 4.04/4.27 tff(18729,plain,
% 4.04/4.27 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18725])).
% 4.04/4.27 tff(18730,plain,
% 4.04/4.27 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 4.04/4.27 inference(symmetry,[status(thm)],[18729])).
% 4.04/4.27 tff(18731,plain,
% 4.04/4.27 (b(s(s(elem!1)), z)),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[175, 18730])).
% 4.04/4.27 tff(18732,plain,
% 4.04/4.27 (~(elem!1 = s(s(s(z))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1046, 18720, 138])).
% 4.04/4.27 tff(18733,plain,
% 4.04/4.27 ((~(s(s(elem!1)) = elem!1)) <=> (~(elem!1 = s(s(s(s(z))))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18078])).
% 4.04/4.27 tff(18734,plain,
% 4.04/4.27 (~(elem!1 = s(s(s(s(z)))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[207, 18733])).
% 4.04/4.27 tff(18735,plain,
% 4.04/4.27 (~b(elem!1, s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[16763, 1021, 207, 2381, 539, 17865, 878, 691, 1740])).
% 4.04/4.27 tff(18736,plain,
% 4.04/4.27 (r(elem!1, s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1094, 18735, 18734])).
% 4.04/4.27 tff(18737,plain,
% 4.04/4.27 (~r(s(z), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[3247, 18736, 72])).
% 4.04/4.27 tff(18738,plain,
% 4.04/4.27 (b(s(z), elem!1)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[701, 18737, 691])).
% 4.04/4.27 tff(18739,plain,
% 4.04/4.27 (b(s(z), s(s(z)))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18738, 17838])).
% 4.04/4.27 tff(18740,plain,
% 4.04/4.27 (r(s(s(z)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[17906])).
% 4.04/4.27 tff(18741,plain,
% 4.04/4.27 (r(elem!1, s(s(s(s(z))))) <=> r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.27 inference(symmetry,[status(thm)],[18740])).
% 4.04/4.27 tff(18742,plain,
% 4.04/4.27 (r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18736, 18741])).
% 4.04/4.27 tff(18743,plain,
% 4.04/4.27 (~r(s(s(z)), s(z))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[581, 82, 72, 18742])).
% 4.04/4.27 tff(18744,plain,
% 4.04/4.27 (b(s(s(z)), s(z))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[472, 18743])).
% 4.04/4.27 tff(18745,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(18746,plain,
% 4.04/4.27 (((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z))))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(18747,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[18746])).
% 4.04/4.27 tff(18748,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.27 inference(transitivity,[status(thm)],[18747, 18745])).
% 4.04/4.27 tff(18749,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))),
% 4.04/4.27 inference(quant_inst,[status(thm)],[])).
% 4.04/4.27 tff(18750,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 4.04/4.27 tff(18751,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18750, 338, 486, 17841, 1740, 18744, 18739])).
% 4.04/4.27 tff(18752,plain,((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (s(z) = elem!1) | (s(s(elem!1)) = elem!1) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(18753,plain,
% 4.04/4.27 (~b(elem!1, s(s(s(z))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[18752, 18731, 1740, 18720, 10341, 16900, 197, 18723, 10343, 18725])).
% 4.04/4.27 tff(18754,plain,
% 4.04/4.27 (r(elem!1, s(s(s(z))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1160, 18753, 18732])).
% 4.04/4.28 tff(18755,plain,
% 4.04/4.28 (~r(z, elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[3328, 18754, 150])).
% 4.04/4.28 tff(18756,plain,
% 4.04/4.28 (~r(elem!1, z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[2377, 18754, 150])).
% 4.04/4.28 tff(18757,plain,
% 4.04/4.28 (b(elem!1, z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[846, 864, 719])).
% 4.04/4.28 tff(18758,plain,
% 4.04/4.28 (~b(elem!1, s(s(elem!1)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[8965, 18757, 8722, 4712, 878])).
% 4.04/4.28 tff(18759,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[7103, 4712, 4710, 1740, 486, 706])).
% 4.04/4.28 tff(18760,plain,((elem!1 = z) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | r(z, elem!1) | r(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18761,plain,
% 4.04/4.28 (~b(s(z), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18760, 864, 486, 719, 1729, 1740])).
% 4.04/4.28 tff(18762,plain,
% 4.04/4.28 (r(s(z), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[701, 18761, 691])).
% 4.04/4.28 tff(18763,plain,
% 4.04/4.28 (~r(elem!1, s(s(elem!1)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[8741, 18762, 721])).
% 4.04/4.28 tff(18764,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[321, 18763, 18758, 137])).
% 4.04/4.28 tff(18765,plain,(r(elem!1, z) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (s(z) = elem!1) | (elem!1 = z) | (~b(z, s(z))) | r(z, elem!1) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18766,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18765, 18756, 18755, 137, 8722, 10341, 1740, 16900, 18731, 18728, 18721])).
% 4.04/4.28 tff(18767,plain,((~r(s(s(s(z))), s(z))) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(s(z)))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18768,plain,
% 4.04/4.28 (~r(s(s(s(z))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18767, 16887, 137, 18481, 128, 62, 138, 136])).
% 4.04/4.28 tff(18769,plain,
% 4.04/4.28 (b(s(s(s(z))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[437, 18768])).
% 4.04/4.28 tff(18770,plain,
% 4.04/4.28 (~(s(z) = elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[16899, 138, 16887])).
% 4.04/4.28 tff(18771,plain,
% 4.04/4.28 (b(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[403, 16606])).
% 4.04/4.28 tff(18772,plain,
% 4.04/4.28 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[16609, 406, 1740, 175, 164])).
% 4.04/4.28 tff(18773,plain,
% 4.04/4.28 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[689, 18772])).
% 4.04/4.28 tff(18774,plain,
% 4.04/4.28 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18581, 18773, 175, 1740, 18771, 164, 62, 8722])).
% 4.04/4.28 tff(18775,plain,
% 4.04/4.28 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[106, 18774])).
% 4.04/4.28 tff(18776,plain,
% 4.04/4.28 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18591, 18775, 8722, 1740, 18771])).
% 4.04/4.28 tff(18777,plain,
% 4.04/4.28 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[368, 18776, 62])).
% 4.04/4.28 tff(18778,plain,
% 4.04/4.28 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18777])).
% 4.04/4.28 tff(18779,plain,
% 4.04/4.28 (s(elem!1) = s(s(s(z)))),
% 4.04/4.28 inference(transitivity,[status(thm)],[182, 18778, 44])).
% 4.04/4.28 tff(18780,plain,
% 4.04/4.28 (b(s(elem!1), s(z)) <=> b(s(s(s(z))), s(z))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18779])).
% 4.04/4.28 tff(18781,plain,
% 4.04/4.28 (b(s(s(s(z))), s(z)) <=> b(s(elem!1), s(z))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18780])).
% 4.04/4.28 tff(18782,plain,
% 4.04/4.28 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18777])).
% 4.04/4.28 tff(18783,plain,
% 4.04/4.28 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 4.04/4.28 inference(symmetry,[status(thm)],[18782])).
% 4.04/4.28 tff(18784,plain,
% 4.04/4.28 (b(s(s(elem!1)), z)),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[175, 18783])).
% 4.04/4.28 tff(18785,plain,
% 4.04/4.28 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18779])).
% 4.04/4.28 tff(18786,plain,
% 4.04/4.28 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18785])).
% 4.04/4.28 tff(18787,plain,
% 4.04/4.28 (s(s(z)) = elem!1),
% 4.04/4.28 inference(transitivity,[status(thm)],[53, 18786, 199])).
% 4.04/4.28 tff(18788,plain,
% 4.04/4.28 (b(s(s(z)), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18787])).
% 4.04/4.28 tff(18789,plain,
% 4.04/4.28 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18536, 18771, 406, 164])).
% 4.04/4.28 tff(18790,plain,
% 4.04/4.28 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[534, 18789])).
% 4.04/4.28 tff(18791,plain,
% 4.04/4.28 (b(elem!1, s(s(s(z))))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18790, 18788])).
% 4.04/4.28 tff(18792,plain,
% 4.04/4.28 (~b(z, elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18752, 18771, 1740, 18775, 18777, 691, 197, 18791, 18773, 18784])).
% 4.04/4.28 tff(18793,plain,
% 4.04/4.28 (~r(s(s(s(z))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18719, 18792, 8722, 137, 175, 164, 62, 426])).
% 4.04/4.28 tff(18794,plain,
% 4.04/4.28 (b(s(s(s(z))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[437, 18793])).
% 4.04/4.28 tff(18795,plain,
% 4.04/4.28 (b(s(elem!1), s(z))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18794, 18781])).
% 4.04/4.28 tff(18796,plain,
% 4.04/4.28 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(s(z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18779])).
% 4.04/4.28 tff(18797,plain,
% 4.04/4.28 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(elem!1))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18796])).
% 4.04/4.28 tff(18798,plain,
% 4.04/4.28 (b(s(s(z)), s(s(s(z)))) <=> b(elem!1, s(elem!1))),
% 4.04/4.28 inference(transitivity,[status(thm)],[18788, 18797])).
% 4.04/4.28 tff(18799,plain,
% 4.04/4.28 (b(elem!1, s(elem!1))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18790, 18798])).
% 4.04/4.28 tff(18800,plain,
% 4.04/4.28 (b(z, s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18489, 18777, 8722])).
% 4.04/4.28 tff(18801,plain,
% 4.04/4.28 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18635, 18800, 1740, 175, 18771])).
% 4.04/4.28 tff(18802,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[119, 18801])).
% 4.04/4.28 tff(18803,plain,
% 4.04/4.28 ((s(s(elem!1)) = elem!1) <=> (s(s(s(s(z)))) = elem!1)),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18777])).
% 4.04/4.28 tff(18804,plain,
% 4.04/4.28 ((s(s(elem!1)) = elem!1) <=> (elem!1 = s(s(s(s(z)))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[18803, 139])).
% 4.04/4.28 tff(18805,plain,
% 4.04/4.28 ((s(s(elem!1)) = elem!1) <=> (s(s(s(s(z)))) = elem!1)),
% 4.04/4.28 inference(transitivity,[status(thm)],[18804, 1058])).
% 4.04/4.28 tff(18806,plain,
% 4.04/4.28 ((~(s(s(elem!1)) = elem!1)) <=> (~(s(s(s(s(z)))) = elem!1))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18805])).
% 4.04/4.28 tff(18807,plain,
% 4.04/4.28 (~(s(s(s(s(z)))) = elem!1)),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[197, 18806])).
% 4.04/4.28 tff(18808,plain,
% 4.04/4.28 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[4106, 18775, 406])).
% 4.04/4.28 tff(18809,plain,
% 4.04/4.28 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1011, 18808])).
% 4.04/4.28 tff(18810,plain,
% 4.04/4.28 ((elem!1 = s(elem!1)) <=> (elem!1 = s(s(s(z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18779])).
% 4.04/4.28 tff(18811,plain,
% 4.04/4.28 ((elem!1 = s(elem!1)) <=> (s(s(s(z))) = elem!1)),
% 4.04/4.28 inference(transitivity,[status(thm)],[18810, 1051])).
% 4.04/4.28 tff(18812,plain,
% 4.04/4.28 ((~(elem!1 = s(elem!1))) <=> (~(s(s(s(z))) = elem!1))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18811])).
% 4.04/4.28 tff(18813,plain,
% 4.04/4.28 (~(s(s(s(z))) = elem!1)),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[232, 18812])).
% 4.04/4.28 tff(18814,plain,
% 4.04/4.28 (elem!1 = s(s(z))),
% 4.04/4.28 inference(transitivity,[status(thm)],[5450, 18785, 52])).
% 4.04/4.28 tff(18815,plain,
% 4.04/4.28 ((z = elem!1) <=> (z = s(s(z)))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18814])).
% 4.04/4.28 tff(18816,plain,
% 4.04/4.28 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.04/4.28 inference(transitivity,[status(thm)],[18815, 3889])).
% 4.04/4.28 tff(18817,plain,
% 4.04/4.28 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.04/4.28 inference(symmetry,[status(thm)],[18816])).
% 4.04/4.28 tff(18818,plain,
% 4.04/4.28 ((~(s(s(z)) = z)) <=> (~(z = elem!1))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18817])).
% 4.04/4.28 tff(18819,plain,
% 4.04/4.28 (~(z = elem!1)),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[56, 18818])).
% 4.04/4.28 tff(18820,plain,
% 4.04/4.28 (r(z, elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[353, 18792, 18819])).
% 4.04/4.28 tff(18821,plain,
% 4.04/4.28 (~r(s(s(s(z))), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[12126, 18820, 164])).
% 4.04/4.28 tff(18822,plain,
% 4.04/4.28 (b(s(s(s(z))), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1110, 18821, 18813])).
% 4.04/4.28 tff(18823,plain,
% 4.04/4.28 (~b(s(s(s(s(z)))), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[2389, 18822, 18809, 18773, 18791])).
% 4.04/4.28 tff(18824,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1144, 18823, 18807])).
% 4.04/4.28 tff(18825,plain,
% 4.04/4.28 (~r(elem!1, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1178, 18824, 18802])).
% 4.04/4.28 tff(18826,plain,
% 4.04/4.28 (b(elem!1, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[819, 18825, 697])).
% 4.04/4.28 tff(18827,plain,
% 4.04/4.28 (r(z, s(elem!1))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[189, 18777, 164])).
% 4.04/4.28 tff(18828,plain,
% 4.04/4.28 (~r(s(elem!1), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[303, 18820, 18827])).
% 4.04/4.28 tff(18829,plain,
% 4.04/4.28 (b(s(elem!1), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[312, 18828, 294])).
% 4.04/4.28 tff(18830,plain,
% 4.04/4.28 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18777])).
% 4.04/4.28 tff(18831,plain,
% 4.04/4.28 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18830])).
% 4.04/4.28 tff(18832,plain,
% 4.04/4.28 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18779])).
% 4.04/4.28 tff(18833,plain,
% 4.04/4.28 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18832])).
% 4.04/4.28 tff(18834,plain,
% 4.04/4.28 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.04/4.28 inference(transitivity,[status(thm)],[18833, 18831])).
% 4.04/4.28 tff(18835,plain,
% 4.04/4.28 (b(s(elem!1), s(s(elem!1)))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18773, 18834])).
% 4.04/4.28 tff(18836,plain,
% 4.04/4.28 (b(s(s(elem!1)), s(elem!1))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[10701, 18809, 18777])).
% 4.04/4.28 tff(18837,plain,
% 4.04/4.28 (~b(s(s(elem!1)), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[8191, 18829, 18836, 18799, 18835])).
% 4.04/4.28 tff(18838,plain,
% 4.04/4.28 (~r(s(z), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[17495, 18837, 8722, 18792, 18784])).
% 4.04/4.28 tff(18839,plain,
% 4.04/4.28 (b(s(z), elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[701, 18838, 691])).
% 4.04/4.28 tff(18840,plain,
% 4.04/4.28 (~b(s(elem!1), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[13089, 18839, 18829, 18826, 18799])).
% 4.04/4.28 tff(18841,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18840, 18795])).
% 4.04/4.28 tff(18842,plain,((~r(s(z), s(s(s(z))))) | (s(z) = elem!1) | (~b(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18843,plain,
% 4.04/4.28 (~r(s(z), s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18842, 18770, 16887, 150, 137, 128, 62, 136, 18481])).
% 4.04/4.28 tff(18844,plain,
% 4.04/4.28 (b(s(z), s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[424, 18843])).
% 4.04/4.28 tff(18845,plain,
% 4.04/4.28 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1237, 18770])).
% 4.04/4.28 tff(18846,plain,
% 4.04/4.28 (~r(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[16634, 13914, 458, 164])).
% 4.04/4.28 tff(18847,plain,
% 4.04/4.28 (b(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[403, 18846])).
% 4.04/4.28 tff(18848,plain,
% 4.04/4.28 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[919, 13914, 164])).
% 4.04/4.28 tff(18849,plain,
% 4.04/4.28 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[689, 18848])).
% 4.04/4.28 tff(18850,plain,
% 4.04/4.28 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18581, 18849, 175, 1740, 18847, 164, 62, 8722])).
% 4.04/4.28 tff(18851,plain,
% 4.04/4.28 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18489, 386, 8722])).
% 4.04/4.28 tff(18852,plain,
% 4.04/4.28 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[368, 18851, 62])).
% 4.04/4.28 tff(18853,plain,
% 4.04/4.28 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18591, 18847, 8722, 1740, 18852])).
% 4.04/4.28 tff(18854,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[106, 18853, 18850])).
% 4.04/4.28 tff(18855,plain,(b(z, s(s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18856,plain,
% 4.04/4.28 (b(z, s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18855, 8722, 1740, 175, 164, 62, 458])).
% 4.04/4.28 tff(18857,plain,
% 4.04/4.28 (~b(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18410, 487, 457, 175, 458, 164, 555])).
% 4.04/4.28 tff(18858,plain,
% 4.04/4.28 (r(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[403, 18857])).
% 4.04/4.28 tff(18859,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[572, 7687, 2360, 487, 164, 175])).
% 4.04/4.28 tff(18860,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18861,plain,
% 4.04/4.28 (~r(s(z), s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18860, 18858, 175, 164, 108, 487])).
% 4.04/4.28 tff(18862,plain,
% 4.04/4.28 (b(s(z), s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[455, 18861])).
% 4.04/4.28 tff(18863,plain,
% 4.04/4.28 (b(s(s(z)), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[956, 494])).
% 4.04/4.28 tff(18864,plain,
% 4.04/4.28 (~r(s(s(z)), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[464, 18404, 108])).
% 4.04/4.28 tff(18865,plain,
% 4.04/4.28 (b(s(s(z)), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[472, 18864])).
% 4.04/4.28 tff(18866,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(18867,plain,
% 4.04/4.28 (((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(18868,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18867])).
% 4.04/4.28 tff(18869,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[18868, 18866])).
% 4.04/4.28 tff(18870,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 4.04/4.28 inference(quant_inst,[status(thm)],[])).
% 4.04/4.28 tff(18871,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18870, 18869])).
% 4.04/4.28 tff(18872,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18871, 338, 564, 1740, 18865, 18863, 18862])).
% 4.04/4.28 tff(18873,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18874,plain,
% 4.04/4.28 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18873, 108, 164, 1740, 175, 18856, 457, 458])).
% 4.04/4.28 tff(18875,plain,
% 4.04/4.28 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[534, 18874])).
% 4.04/4.28 tff(18876,plain,
% 4.04/4.28 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18385, 18875, 457, 458, 108])).
% 4.04/4.28 tff(18877,plain,
% 4.04/4.28 (b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[68, 18876])).
% 4.04/4.28 tff(18878,plain,
% 4.04/4.28 (~b(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[3505, 651, 175, 1740, 555])).
% 4.04/4.28 tff(18879,plain,
% 4.04/4.28 (r(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[403, 18878])).
% 4.04/4.28 tff(18880,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(18881,plain,
% 4.04/4.28 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(18882,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18881])).
% 4.04/4.28 tff(18883,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[18882, 18880])).
% 4.04/4.28 tff(18884,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 4.04/4.28 inference(quant_inst,[status(thm)],[])).
% 4.04/4.28 tff(18885,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 4.04/4.28 tff(18886,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18885, 338, 601, 1740, 651, 540, 175, 555])).
% 4.04/4.28 tff(18887,plain,((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18888,plain,
% 4.04/4.28 (~b(z, s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18887, 651, 1740, 540, 175, 555])).
% 4.04/4.28 tff(18889,plain,
% 4.04/4.28 (r(z, s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[563, 18888])).
% 4.04/4.28 tff(18890,plain,
% 4.04/4.28 (~r(s(z), s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[2492, 18889, 18879])).
% 4.04/4.28 tff(18891,plain,
% 4.04/4.28 (b(s(z), s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[455, 18890])).
% 4.04/4.28 tff(18892,plain,
% 4.04/4.28 (~r(s(s(z)), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[2514, 18889, 18879])).
% 4.04/4.28 tff(18893,plain,
% 4.04/4.28 (b(s(s(z)), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[472, 18892])).
% 4.04/4.28 tff(18894,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[484, 18893, 18891, 458, 457, 476])).
% 4.04/4.28 tff(18895,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18896,plain,
% 4.04/4.28 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18895, 18875, 457, 458, 1740, 18877, 175, 18856])).
% 4.04/4.28 tff(18897,plain,
% 4.04/4.28 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[106, 18896])).
% 4.04/4.28 tff(18898,plain,
% 4.04/4.28 (~r(s(s(elem!1)), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1230, 16542, 426, 871, 458, 457])).
% 4.04/4.28 tff(18899,plain,
% 4.04/4.28 (~b(s(s(elem!1)), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[9063, 16542, 8722, 1740, 2356])).
% 4.04/4.28 tff(18900,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[800, 18899, 18898])).
% 4.04/4.28 tff(18901,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(18902,plain,
% 4.04/4.28 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[18901, 18897, 1740, 426, 871, 458, 457, 8722, 108])).
% 4.04/4.28 tff(18903,plain,
% 4.04/4.28 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[368, 18902, 62])).
% 4.04/4.28 tff(18904,plain,
% 4.04/4.28 (s(s(s(elem!1))) = s(s(s(s(s(z)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18903])).
% 4.04/4.28 tff(18905,plain,
% 4.04/4.28 (s(s(s(s(s(z))))) = s(s(s(elem!1)))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18904])).
% 4.04/4.28 tff(18906,plain,
% 4.04/4.28 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18903])).
% 4.04/4.28 tff(18907,plain,
% 4.04/4.28 (s(elem!1) = s(s(s(z)))),
% 4.04/4.28 inference(transitivity,[status(thm)],[182, 18906, 44])).
% 4.04/4.28 tff(18908,plain,
% 4.04/4.28 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18907])).
% 4.04/4.28 tff(18909,plain,
% 4.04/4.28 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18908])).
% 4.04/4.28 tff(18910,plain,
% 4.04/4.28 (s(s(z)) = elem!1),
% 4.04/4.28 inference(transitivity,[status(thm)],[53, 18909, 199])).
% 4.04/4.28 tff(18911,plain,
% 4.04/4.28 (b(s(s(z)), s(s(s(s(s(z)))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18910, 18905])).
% 4.04/4.28 tff(18912,plain,
% 4.04/4.28 (b(elem!1, s(s(s(elem!1)))) <=> b(s(s(z)), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18911])).
% 4.04/4.28 tff(18913,plain,
% 4.04/4.28 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[11454, 18903])).
% 4.04/4.28 tff(18914,plain,
% 4.04/4.28 (s(s(s(z))) = s(elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[4794, 18913])).
% 4.04/4.28 tff(18915,plain,
% 4.04/4.28 (s(elem!1) = s(s(s(z)))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[3985, 18914])).
% 4.04/4.28 tff(18916,plain,
% 4.04/4.28 (~(s(s(s(elem!1))) = elem!1)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[3655, 18915])).
% 4.04/4.28 tff(18917,plain,
% 4.04/4.28 (~(elem!1 = s(s(s(elem!1))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1924, 18916])).
% 4.04/4.28 tff(18918,plain,
% 4.04/4.28 (elem!1 = s(s(z))),
% 4.04/4.28 inference(transitivity,[status(thm)],[5450, 18908, 52])).
% 4.04/4.28 tff(18919,plain,
% 4.04/4.28 ((z = elem!1) <=> (z = s(s(z)))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18918])).
% 4.04/4.28 tff(18920,plain,
% 4.04/4.28 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.04/4.28 inference(transitivity,[status(thm)],[18919, 3889])).
% 4.04/4.28 tff(18921,plain,
% 4.04/4.28 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.04/4.28 inference(symmetry,[status(thm)],[18920])).
% 4.04/4.28 tff(18922,plain,
% 4.04/4.28 ((s(s(z)) = z) <=> (elem!1 = z)),
% 4.04/4.28 inference(transitivity,[status(thm)],[18921, 2749])).
% 4.04/4.28 tff(18923,plain,
% 4.04/4.28 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18922])).
% 4.04/4.28 tff(18924,plain,
% 4.04/4.28 (~(elem!1 = z)),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[56, 18923])).
% 4.04/4.28 tff(18925,plain,
% 4.04/4.28 ((s(s(s(elem!1))) = s(elem!1)) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18907])).
% 4.04/4.28 tff(18926,plain,
% 4.04/4.28 ((s(s(s(elem!1))) = s(elem!1)) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[18925, 10447])).
% 4.04/4.28 tff(18927,plain,
% 4.04/4.28 ((~(s(s(s(elem!1))) = s(elem!1))) <=> (~(s(s(s(z))) = s(s(s(elem!1)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18926])).
% 4.04/4.28 tff(18928,plain,
% 4.04/4.28 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[218, 18927])).
% 4.04/4.28 tff(18929,plain,
% 4.04/4.28 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18903])).
% 4.04/4.28 tff(18930,plain,
% 4.04/4.28 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18929])).
% 4.04/4.28 tff(18931,plain,
% 4.04/4.28 (r(s(z), s(s(elem!1)))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18897, 18930])).
% 4.04/4.28 tff(18932,plain,
% 4.04/4.28 (r(s(elem!1), z) <=> r(s(s(s(z))), z)),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18907])).
% 4.04/4.28 tff(18933,plain,
% 4.04/4.28 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 4.04/4.28 inference(symmetry,[status(thm)],[18932])).
% 4.04/4.28 tff(18934,plain,
% 4.04/4.28 (r(s(elem!1), z)),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[426, 18933])).
% 4.04/4.28 tff(18935,plain,
% 4.04/4.28 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(s(z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18907])).
% 4.04/4.28 tff(18936,plain,
% 4.04/4.28 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(elem!1))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18935])).
% 4.04/4.28 tff(18937,plain,
% 4.04/4.28 (b(s(s(z)), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18910])).
% 4.04/4.28 tff(18938,plain,
% 4.04/4.28 (b(s(s(z)), s(s(s(z)))) <=> b(elem!1, s(elem!1))),
% 4.04/4.28 inference(transitivity,[status(thm)],[18937, 18936])).
% 4.04/4.28 tff(18939,plain,
% 4.04/4.28 (b(elem!1, s(elem!1))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18875, 18938])).
% 4.04/4.28 tff(18940,plain,
% 4.04/4.28 (r(elem!1, s(s(elem!1))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18903])).
% 4.04/4.28 tff(18941,plain,
% 4.04/4.28 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(elem!1)))),
% 4.04/4.28 inference(symmetry,[status(thm)],[18940])).
% 4.04/4.28 tff(18942,plain,
% 4.04/4.28 (r(s(s(z)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18910])).
% 4.04/4.28 tff(18943,plain,
% 4.04/4.28 (r(s(s(z)), s(s(s(s(z))))) <=> r(elem!1, s(s(elem!1)))),
% 4.04/4.28 inference(transitivity,[status(thm)],[18942, 18941])).
% 4.04/4.28 tff(18944,plain,
% 4.04/4.28 ((~r(s(s(z)), s(s(s(s(z)))))) <=> (~r(elem!1, s(s(elem!1))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18943])).
% 4.04/4.28 tff(18945,plain,
% 4.04/4.28 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[593, 18897, 457, 458, 18875])).
% 4.04/4.28 tff(18946,plain,
% 4.04/4.28 (~r(elem!1, s(s(elem!1)))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[18945, 18944])).
% 4.04/4.28 tff(18947,plain,
% 4.04/4.28 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18903])).
% 4.04/4.28 tff(18948,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.04/4.28 inference(symmetry,[status(thm)],[18947])).
% 4.04/4.28 tff(18949,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18918])).
% 4.04/4.28 tff(18950,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.04/4.28 inference(symmetry,[status(thm)],[18949])).
% 4.04/4.28 tff(18951,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), elem!1)),
% 4.04/4.28 inference(transitivity,[status(thm)],[18950, 18948])).
% 4.04/4.28 tff(18952,plain,
% 4.04/4.28 ((~r(s(s(s(s(z)))), s(s(z)))) <=> (~r(s(s(elem!1)), elem!1))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[18951])).
% 4.04/4.28 tff(18953,plain,
% 4.04/4.29 (~r(s(s(elem!1)), elem!1)),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[18876, 18952])).
% 4.04/4.29 tff(18954,plain,
% 4.04/4.29 (r(z, s(elem!1))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[189, 18903, 164])).
% 4.04/4.29 tff(18955,plain,
% 4.04/4.29 (r(z, elem!1) <=> r(z, s(s(z)))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18918])).
% 4.04/4.29 tff(18956,plain,
% 4.04/4.29 (r(z, s(s(z))) <=> r(z, elem!1)),
% 4.04/4.29 inference(symmetry,[status(thm)],[18955])).
% 4.04/4.29 tff(18957,plain,
% 4.04/4.29 (~b(z, s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[17860, 18897, 457, 458, 175, 18856, 18877, 164])).
% 4.04/4.29 tff(18958,plain,
% 4.04/4.29 (r(z, s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[563, 18957])).
% 4.04/4.29 tff(18959,plain,
% 4.04/4.29 (r(z, elem!1)),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[18958, 18956])).
% 4.04/4.29 tff(18960,plain,
% 4.04/4.29 (~r(s(elem!1), elem!1)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[303, 18959, 18954])).
% 4.04/4.29 tff(18961,plain,
% 4.04/4.29 (b(s(elem!1), elem!1)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[312, 18960, 294])).
% 4.04/4.29 tff(18962,plain,
% 4.04/4.29 (~b(s(s(elem!1)), s(elem!1))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[346, 18961, 18953, 137, 18946, 18939])).
% 4.04/4.29 tff(18963,plain,
% 4.04/4.29 (r(s(s(elem!1)), s(elem!1))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[277, 18962, 225])).
% 4.04/4.29 tff(18964,plain,
% 4.04/4.29 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18903])).
% 4.04/4.29 tff(18965,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.04/4.29 inference(symmetry,[status(thm)],[18964])).
% 4.04/4.29 tff(18966,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18918])).
% 4.04/4.29 tff(18967,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.04/4.29 inference(symmetry,[status(thm)],[18966])).
% 4.04/4.29 tff(18968,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 4.04/4.29 inference(transitivity,[status(thm)],[18967, 18965])).
% 4.04/4.29 tff(18969,plain,
% 4.04/4.29 (b(s(s(elem!1)), elem!1)),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[18877, 18968])).
% 4.04/4.29 tff(18970,plain,
% 4.04/4.29 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18903])).
% 4.04/4.29 tff(18971,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 4.04/4.29 inference(symmetry,[status(thm)],[18970])).
% 4.04/4.29 tff(18972,plain,
% 4.04/4.29 (b(s(s(elem!1)), z)),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[175, 18971])).
% 4.04/4.29 tff(18973,plain,
% 4.04/4.29 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18903])).
% 4.04/4.29 tff(18974,plain,
% 4.04/4.29 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(elem!1)))),
% 4.04/4.29 inference(symmetry,[status(thm)],[18973])).
% 4.04/4.29 tff(18975,plain,
% 4.04/4.29 (b(s(s(z)), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18910])).
% 4.04/4.29 tff(18976,plain,
% 4.04/4.29 (b(s(s(z)), s(s(s(s(z))))) <=> b(elem!1, s(s(elem!1)))),
% 4.04/4.29 inference(transitivity,[status(thm)],[18975, 18974])).
% 4.04/4.29 tff(18977,plain,
% 4.04/4.29 (b(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[598, 18945, 61])).
% 4.04/4.29 tff(18978,plain,
% 4.04/4.29 (b(elem!1, s(s(elem!1)))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 4.04/4.29 tff(18979,plain,
% 4.04/4.29 (~b(elem!1, z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[17364, 18978, 8722, 18972, 18969])).
% 4.04/4.29 tff(18980,plain,
% 4.04/4.29 (r(elem!1, z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[846, 18979, 18924])).
% 4.04/4.29 tff(18981,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[13508, 8288, 8286, 1929, 2636, 1564])).
% 4.04/4.29 tff(18982,plain,((~r(s(elem!1), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (elem!1 = s(elem!1)) | (s(elem!1) = elem!1) | (~r(elem!1, z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(18983,plain,
% 4.04/4.29 (~b(s(s(s(elem!1))), elem!1)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18982, 1564, 234, 802, 1815, 306, 246, 1929])).
% 4.04/4.29 tff(18984,plain,
% 4.04/4.29 (r(s(s(s(elem!1))), elem!1)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2162, 18983, 1271])).
% 4.04/4.29 tff(18985,plain,
% 4.04/4.29 (~r(s(s(s(elem!1))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2157, 18984, 234])).
% 4.04/4.29 tff(18986,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1387, 18985])).
% 4.04/4.29 tff(18987,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(18988,plain,
% 4.04/4.29 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(18989,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18988])).
% 4.04/4.29 tff(18990,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.04/4.29 inference(transitivity,[status(thm)],[18989, 18987])).
% 4.04/4.29 tff(18991,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 4.04/4.29 inference(quant_inst,[status(thm)],[])).
% 4.04/4.29 tff(18992,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[18991, 18990])).
% 4.04/4.29 tff(18993,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18992, 338, 18986, 1929, 6387, 8722, 1564, 314])).
% 4.04/4.29 tff(18994,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~r(z, elem!1)) | (s(s(s(elem!1))) = elem!1) | (~r(elem!1, z)) | (~r(s(elem!1), z)) | (s(elem!1) = elem!1) | (elem!1 = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(18995,plain,
% 4.04/4.29 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18994, 1815, 6387, 8722, 314, 234, 1271, 802, 1929, 306, 7156])).
% 4.04/4.29 tff(18996,plain,
% 4.04/4.29 (r(s(elem!1), s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1515, 18995, 215])).
% 4.04/4.29 tff(18997,plain,
% 4.04/4.29 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2629, 18996, 264])).
% 4.04/4.29 tff(18998,plain,
% 4.04/4.29 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2619, 18997, 10550])).
% 4.04/4.29 tff(18999,plain,
% 4.04/4.29 (~r(z, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[7046, 18996, 1815])).
% 4.04/4.29 tff(19000,plain,
% 4.04/4.29 (b(z, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1373, 18999])).
% 4.04/4.29 tff(19001,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[12264, 19000, 18998, 8722, 6387, 878])).
% 4.04/4.29 tff(19002,plain,((~r(s(elem!1), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~r(z, elem!1)) | (s(s(s(elem!1))) = elem!1) | (~r(elem!1, z)) | (~b(elem!1, s(s(s(elem!1))))) | (s(elem!1) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19003,plain,
% 4.04/4.29 (~b(elem!1, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19002, 6387, 234, 314, 264, 215, 878, 802, 1815, 1271, 8722, 306])).
% 4.04/4.29 tff(19004,plain,
% 4.04/4.29 (r(elem!1, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1946, 19003, 1925])).
% 4.04/4.29 tff(19005,plain,
% 4.04/4.29 (~r(s(s(s(elem!1))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2167, 19004, 802])).
% 4.04/4.29 tff(19006,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1387, 19005])).
% 4.04/4.29 tff(19007,plain,
% 4.04/4.29 (~r(z, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[6371, 19004, 802])).
% 4.04/4.29 tff(19008,plain,
% 4.04/4.29 (b(z, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1373, 19007])).
% 4.04/4.29 tff(19009,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[17927, 19008, 19006, 8722, 6387, 878])).
% 4.04/4.29 tff(19010,plain,((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(elem!1, z)) | (~r(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(elem!1), z)) | (s(s(s(elem!1))) = elem!1) | (s(elem!1) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19011,plain,
% 4.04/4.29 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19010, 18972, 8722, 18980, 18959, 18961, 18963, 210, 18934, 18916, 294])).
% 4.04/4.29 tff(19012,plain,
% 4.04/4.29 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1292, 19011, 2180])).
% 4.04/4.29 tff(19013,plain,
% 4.04/4.29 (~r(s(z), s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[4223, 19012, 18931])).
% 4.04/4.29 tff(19014,plain,
% 4.04/4.29 (b(s(z), s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1870, 19013])).
% 4.04/4.29 tff(19015,plain,
% 4.04/4.29 (~r(s(s(s(elem!1))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[4215, 19012, 18931])).
% 4.04/4.29 tff(19016,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1990, 19015])).
% 4.04/4.29 tff(19017,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18907])).
% 4.04/4.29 tff(19018,plain,
% 4.04/4.29 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2048, 19012, 18963])).
% 4.04/4.29 tff(19019,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), s(elem!1))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1971, 19018, 218])).
% 4.04/4.29 tff(19020,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[19019, 19017])).
% 4.04/4.29 tff(19021,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(19022,plain,
% 4.04/4.29 (((~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(19023,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z)))))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[19022])).
% 4.04/4.29 tff(19024,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))))),
% 4.04/4.29 inference(transitivity,[status(thm)],[19023, 19021])).
% 4.04/4.29 tff(19025,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(elem!1))))))),
% 4.04/4.29 inference(quant_inst,[status(thm)],[])).
% 4.04/4.29 tff(19026,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z)))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[19025, 19024])).
% 4.04/4.29 tff(19027,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19026, 338, 457, 458, 1880, 5431, 4011, 4012])).
% 4.04/4.29 tff(19028,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19029,plain,
% 4.04/4.29 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19028, 19020, 457, 19016, 19014, 458])).
% 4.04/4.29 tff(19030,plain,
% 4.04/4.29 (r(s(s(s(z))), s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[3784, 19029, 18928])).
% 4.04/4.29 tff(19031,plain,
% 4.04/4.29 (~r(z, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[8491, 19030, 164])).
% 4.04/4.29 tff(19032,plain,
% 4.04/4.29 (b(z, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1373, 19031])).
% 4.04/4.29 tff(19033,plain,
% 4.04/4.29 (~b(s(s(s(elem!1))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1888, 19032, 1740, 19014, 19015])).
% 4.04/4.29 tff(19034,plain,
% 4.04/4.29 (r(s(s(s(elem!1))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1387, 19033])).
% 4.04/4.29 tff(19035,plain,
% 4.04/4.29 (~r(elem!1, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14225, 19034, 197, 18959, 19032, 18924, 18916])).
% 4.04/4.29 tff(19036,plain,
% 4.04/4.29 (b(elem!1, s(s(s(elem!1))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1946, 19035, 18917])).
% 4.04/4.29 tff(19037,plain,
% 4.04/4.29 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[19036, 18912])).
% 4.04/4.29 tff(19038,plain,
% 4.04/4.29 (b(s(s(s(s(s(z))))), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18905])).
% 4.04/4.29 tff(19039,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), s(s(s(z)))) <=> b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.04/4.29 inference(symmetry,[status(thm)],[19038])).
% 4.04/4.29 tff(19040,plain,
% 4.04/4.29 (b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[19020, 19039])).
% 4.04/4.29 tff(19041,plain,
% 4.04/4.29 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(s(s(s(elem!1))), elem!1)),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18905, 18910])).
% 4.04/4.29 tff(19042,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(s(s(z))))), s(s(z)))),
% 4.04/4.29 inference(symmetry,[status(thm)],[19041])).
% 4.04/4.29 tff(19043,plain,
% 4.04/4.29 (~r(s(s(s(elem!1))), elem!1)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[8764, 19033, 8722, 18924, 137, 18946, 19012])).
% 4.04/4.29 tff(19044,plain,
% 4.04/4.29 (b(s(s(s(elem!1))), elem!1)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2162, 19043, 18916])).
% 4.04/4.29 tff(19045,plain,
% 4.04/4.29 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[19044, 19042])).
% 4.04/4.29 tff(19046,plain,
% 4.04/4.29 (r(s(s(s(z))), s(s(z))) <=> r(s(s(s(z))), elem!1)),
% 4.04/4.29 inference(monotonicity,[status(thm)],[18910])).
% 4.04/4.29 tff(19047,plain,
% 4.04/4.29 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), s(s(z)))),
% 4.04/4.29 inference(symmetry,[status(thm)],[19046])).
% 4.04/4.29 tff(19048,plain,
% 4.04/4.29 ((~r(s(s(s(z))), elem!1)) <=> (~r(s(s(s(z))), s(s(z))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[19047])).
% 4.04/4.29 tff(19049,plain,
% 4.04/4.29 (~r(s(s(s(z))), elem!1)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[12126, 18959, 164])).
% 4.04/4.29 tff(19050,plain,
% 4.04/4.29 (~r(s(s(s(z))), s(s(z)))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[19049, 19048])).
% 4.04/4.29 tff(19051,plain,
% 4.04/4.29 (b(s(s(s(z))), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[639, 19050])).
% 4.04/4.29 tff(19052,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18716, 338, 18875, 19051, 19045, 19040, 19037])).
% 4.04/4.29 tff(19053,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(s(z), z)) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19054,plain,
% 4.04/4.29 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19053, 16887, 137, 18481, 150, 18844, 18769, 136, 128, 62, 18845])).
% 4.04/4.29 tff(19055,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[119, 19054])).
% 4.04/4.29 tff(19056,plain,
% 4.04/4.29 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18591, 18852, 8722, 1740, 18847])).
% 4.04/4.29 tff(19057,plain,
% 4.04/4.29 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[5079, 16719, 458, 457, 2911])).
% 4.04/4.29 tff(19058,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[106, 19057, 19056])).
% 4.04/4.29 tff(19059,plain,(b(z, s(s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19060,plain,
% 4.04/4.29 (b(z, s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19059, 2911, 457, 458, 8722, 1740, 62, 164])).
% 4.04/4.29 tff(19061,plain,
% 4.04/4.29 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[572, 19060, 175, 487, 164])).
% 4.04/4.29 tff(19062,plain,
% 4.04/4.29 (r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[68, 19061])).
% 4.04/4.29 tff(19063,plain,
% 4.04/4.29 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1457, 19062, 487])).
% 4.04/4.29 tff(19064,plain,
% 4.04/4.29 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18222, 19062, 458, 2911, 457, 175, 19060, 164])).
% 4.04/4.29 tff(19065,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1011, 19064, 19063])).
% 4.04/4.29 tff(19066,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19067,plain,
% 4.04/4.29 (~r(s(s(z)), s(s(s(z))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19066, 19055, 18844, 128, 150, 18769, 16887, 18481, 62])).
% 4.04/4.29 tff(19068,plain,
% 4.04/4.29 (b(s(s(z)), s(s(s(z))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[534, 19067])).
% 4.04/4.29 tff(19069,plain,
% 4.04/4.29 (b(z, s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18855, 16887, 18481, 128, 150, 62, 18769])).
% 4.04/4.29 tff(19070,plain,
% 4.04/4.29 (~b(z, s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18635, 19055, 18481, 128, 19069])).
% 4.04/4.29 tff(19071,plain,
% 4.04/4.29 (r(z, s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[403, 19070])).
% 4.04/4.29 tff(19072,plain,
% 4.04/4.29 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[11153, 19055, 128, 18481, 19069])).
% 4.04/4.29 tff(19073,plain,
% 4.04/4.29 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[106, 19072])).
% 4.04/4.29 tff(19074,plain,
% 4.04/4.29 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[593, 19073, 18844, 18769, 19068])).
% 4.04/4.29 tff(19075,plain,
% 4.04/4.29 (b(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[598, 19074, 61])).
% 4.04/4.29 tff(19076,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(19077,plain,
% 4.04/4.29 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(19078,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[19077])).
% 4.04/4.29 tff(19079,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.29 inference(transitivity,[status(thm)],[19078, 19076])).
% 4.04/4.29 tff(19080,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))),
% 4.04/4.29 inference(quant_inst,[status(thm)],[])).
% 4.04/4.29 tff(19081,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[19080, 19079])).
% 4.04/4.29 tff(19082,plain,
% 4.04/4.29 (~b(z, s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19081, 338, 18481, 19055, 128, 19075, 19069])).
% 4.04/4.29 tff(19083,plain,
% 4.04/4.29 (r(z, s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[563, 19082])).
% 4.04/4.29 tff(19084,plain,
% 4.04/4.29 (~r(s(z), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2492, 19083, 19071])).
% 4.04/4.29 tff(19085,plain,
% 4.04/4.29 (b(s(z), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[455, 19084])).
% 4.04/4.29 tff(19086,plain,
% 4.04/4.29 (~r(s(s(z)), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2514, 19083, 19071])).
% 4.04/4.29 tff(19087,plain,
% 4.04/4.29 (b(s(s(z)), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[472, 19086])).
% 4.04/4.29 tff(19088,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[484, 19087, 19085, 18769, 18844, 19068])).
% 4.04/4.29 tff(19089,plain,(b(z, s(s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z))))) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19090,plain,
% 4.04/4.29 (b(z, s(s(s(z))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19089, 137, 62, 129, 121])).
% 4.04/4.29 tff(19091,plain,
% 4.04/4.29 (~r(s(z), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[432, 427, 136])).
% 4.04/4.29 tff(19092,plain,
% 4.04/4.29 (b(s(z), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[26, 19091])).
% 4.04/4.29 tff(19093,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2898, 82, 1731, 427, 426])).
% 4.04/4.29 tff(19094,plain,((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19095,plain,
% 4.04/4.29 (~r(z, s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19094, 427, 136])).
% 4.04/4.29 tff(19096,plain,
% 4.04/4.29 (b(z, s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[403, 19095])).
% 4.04/4.29 tff(19097,plain,
% 4.04/4.29 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[7735, 19096, 175, 427, 19092])).
% 4.04/4.29 tff(19098,plain,
% 4.04/4.29 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[689, 19097])).
% 4.04/4.29 tff(19099,plain,
% 4.04/4.29 (~b(s(z), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[3204, 2911, 175, 1740, 486])).
% 4.04/4.29 tff(19100,plain,
% 4.04/4.29 (r(s(z), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[106, 19099])).
% 4.04/4.29 tff(19101,plain,
% 4.04/4.29 (~b(z, s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18635, 2911, 1740, 175, 486])).
% 4.04/4.29 tff(19102,plain,
% 4.04/4.29 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18489, 19101, 8722])).
% 4.04/4.29 tff(19103,plain,
% 4.04/4.29 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[368, 19102, 62])).
% 4.04/4.29 tff(19104,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18591, 19103, 19100, 486, 1740, 8722])).
% 4.04/4.29 tff(19105,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(19106,plain,
% 4.04/4.29 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[19105, 8722, 1740, 486, 62, 175])).
% 4.04/4.29 tff(19107,plain,
% 4.04/4.29 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[119, 19106])).
% 4.04/4.29 tff(19108,plain,
% 4.04/4.29 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[11489, 19107, 3348, 1740, 486])).
% 4.04/4.29 tff(19109,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1011, 19108])).
% 4.04/4.29 tff(19110,plain,
% 4.04/4.29 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[7735, 486, 175, 427, 1740])).
% 4.04/4.29 tff(19111,plain,
% 4.04/4.29 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[689, 19110])).
% 4.04/4.29 tff(19112,plain,
% 4.04/4.29 (~(s(s(s(z))) = s(elem!1))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[10692, 363])).
% 4.04/4.29 tff(19113,plain,
% 4.04/4.29 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[4794, 19112])).
% 4.04/4.29 tff(19114,plain,
% 4.04/4.29 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[368, 363, 62])).
% 4.04/4.29 tff(19115,plain,
% 4.04/4.29 (~r(s(s(elem!1)), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[2354, 19114, 19107])).
% 4.04/4.29 tff(19116,plain,
% 4.04/4.29 (b(s(s(elem!1)), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[784, 19115])).
% 4.04/4.29 tff(19117,plain,
% 4.04/4.29 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18591, 19114, 486, 1740, 8722])).
% 4.04/4.29 tff(19118,plain,
% 4.04/4.29 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[106, 19117])).
% 4.04/4.29 tff(19119,plain,
% 4.04/4.29 (~b(z, s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[3505, 19118, 175, 1740, 486])).
% 4.04/4.29 tff(19120,plain,
% 4.04/4.29 (r(z, s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[391, 19119])).
% 4.04/4.29 tff(19121,plain,
% 4.04/4.29 (~r(s(s(elem!1)), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[18502, 82, 19120, 19114])).
% 4.04/4.29 tff(19122,plain,
% 4.04/4.29 (b(s(s(elem!1)), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[800, 19121])).
% 4.04/4.29 tff(19123,plain,
% 4.04/4.29 (~b(s(z), s(s(elem!1)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[6963, 19122, 1740, 486, 19116])).
% 4.04/4.29 tff(19124,plain,
% 4.04/4.29 (r(s(z), s(s(elem!1)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[743, 19123])).
% 4.04/4.29 tff(19125,plain,
% 4.04/4.29 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[15263, 19124, 19107])).
% 4.04/4.29 tff(19126,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[10478, 19125, 19113])).
% 4.04/4.29 tff(19127,plain,
% 4.04/4.29 (~(s(z) = elem!1)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[10349, 19111, 62])).
% 4.04/4.29 tff(19128,plain,
% 4.04/4.29 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1237, 19127])).
% 4.04/4.29 tff(19129,plain,
% 4.04/4.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(19130,plain,
% 4.04/4.29 (((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(19131,plain,
% 4.04/4.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1))))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[19130])).
% 4.04/4.29 tff(19132,plain,
% 4.04/4.29 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 4.04/4.29 inference(transitivity,[status(thm)],[19131, 19129])).
% 4.04/4.29 tff(19133,plain,
% 4.04/4.29 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(z))))),
% 4.04/4.30 inference(quant_inst,[status(thm)],[])).
% 4.04/4.30 tff(19134,plain,
% 4.04/4.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1))))),
% 4.04/4.30 inference(modus_ponens,[status(thm)],[19133, 19132])).
% 4.04/4.30 tff(19135,plain,
% 4.04/4.30 ($false),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[19134, 82, 721, 427, 163])).
% 4.04/4.30 tff(19136,plain,((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.30 tff(19137,plain,
% 4.04/4.30 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[19136, 19124, 427])).
% 4.04/4.30 tff(19138,plain,
% 4.04/4.30 (b(s(s(s(z))), s(s(elem!1)))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[6754, 19137, 19128])).
% 4.04/4.30 tff(19139,plain,
% 4.04/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19140,plain,
% 4.14/4.30 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19141,plain,
% 4.14/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19140])).
% 4.14/4.30 tff(19142,plain,
% 4.14/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.14/4.30 inference(transitivity,[status(thm)],[19141, 19139])).
% 4.14/4.30 tff(19143,plain,
% 4.14/4.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 4.14/4.30 inference(quant_inst,[status(thm)],[])).
% 4.14/4.30 tff(19144,plain,
% 4.14/4.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19143, 19142])).
% 4.14/4.30 tff(19145,plain,
% 4.14/4.30 ($false),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19144, 338, 3348, 987, 539, 175, 3254, 3484])).
% 4.14/4.30 tff(19146,plain,((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(19147,plain,
% 4.14/4.30 ($false),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19146, 19138, 19126, 175, 3348, 19111, 19109])).
% 4.14/4.30 tff(19148,plain,((s(s(elem!1)) = s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(19149,plain,
% 4.14/4.30 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19148, 8722, 3348, 427, 1740, 486, 175, 62])).
% 4.14/4.30 tff(19150,plain,
% 4.14/4.30 (b(z, s(s(s(s(z)))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[18489, 19149, 8722])).
% 4.14/4.30 tff(19151,plain,
% 4.14/4.30 ($false),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[11173, 338, 3348, 19109, 19111, 175, 19150])).
% 4.14/4.30 tff(19152,plain,((~b(z, s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(19153,plain,
% 4.14/4.30 (~b(z, s(s(elem!1)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19152, 427, 175, 3348, 19092, 19096, 62])).
% 4.14/4.30 tff(19154,plain,
% 4.14/4.30 (~r(z, s(z))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19094, 427, 426])).
% 4.14/4.30 tff(19155,plain,
% 4.14/4.30 (b(z, s(z))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[403, 19154])).
% 4.14/4.30 tff(19156,plain,
% 4.14/4.30 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[368, 11372, 62])).
% 4.14/4.30 tff(19157,plain,
% 4.14/4.30 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[11454, 19156])).
% 4.14/4.30 tff(19158,plain,
% 4.14/4.30 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[7735, 19155, 175, 427, 18483])).
% 4.14/4.30 tff(19159,plain,
% 4.14/4.30 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[689, 19158])).
% 4.14/4.30 tff(19160,plain,
% 4.14/4.30 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19156])).
% 4.14/4.30 tff(19161,plain,
% 4.14/4.30 (s(elem!1) = s(s(s(z)))),
% 4.14/4.30 inference(transitivity,[status(thm)],[182, 19160, 44])).
% 4.14/4.30 tff(19162,plain,
% 4.14/4.30 (r(s(elem!1), z) <=> r(s(s(s(z))), z)),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19161])).
% 4.14/4.30 tff(19163,plain,
% 4.14/4.30 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 4.14/4.30 inference(symmetry,[status(thm)],[19162])).
% 4.14/4.30 tff(19164,plain,
% 4.14/4.30 (r(s(elem!1), z)),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[426, 19163])).
% 4.14/4.30 tff(19165,plain,
% 4.14/4.30 (s(s(s(s(elem!1)))) = s(s(s(s(s(s(z))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[17827])).
% 4.14/4.30 tff(19166,plain,
% 4.14/4.30 (s(s(s(s(s(s(z)))))) = s(s(s(s(elem!1))))),
% 4.14/4.30 inference(symmetry,[status(thm)],[19165])).
% 4.14/4.30 tff(19167,plain,
% 4.14/4.30 (b(s(s(s(s(s(s(z)))))), s(z)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19166])).
% 4.14/4.30 tff(19168,plain,
% 4.14/4.30 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.30 inference(symmetry,[status(thm)],[19167])).
% 4.14/4.30 tff(19169,plain,
% 4.14/4.30 (r(s(s(s(s(s(s(z)))))), s(z)) <=> r(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19166])).
% 4.14/4.30 tff(19170,plain,
% 4.14/4.30 ((~r(s(s(s(s(s(s(z)))))), s(z))) <=> (~r(s(s(s(s(elem!1)))), s(z)))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19169])).
% 4.14/4.30 tff(19171,plain,
% 4.14/4.30 (s(s(s(z))) = s(elem!1)),
% 4.14/4.30 inference(transitivity,[status(thm)],[45, 357, 181])).
% 4.14/4.30 tff(19172,plain,
% 4.14/4.30 (r(s(s(s(s(s(s(z)))))), s(s(s(z)))) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19166, 19171])).
% 4.14/4.30 tff(19173,plain,
% 4.14/4.30 (r(s(s(s(s(elem!1)))), s(elem!1)) <=> r(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 4.14/4.30 inference(symmetry,[status(thm)],[19172])).
% 4.14/4.30 tff(19174,plain,
% 4.14/4.30 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[1336, 17882])).
% 4.14/4.30 tff(19175,assumption,(s(s(s(s(elem!1)))) = s(elem!1)), introduced(assumption)).
% 4.14/4.30 tff(19176,plain,
% 4.14/4.30 (s(elem!1) = s(s(s(s(elem!1))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19175, 1534])).
% 4.14/4.30 tff(19177,plain,
% 4.14/4.30 ($false),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[1482, 19176])).
% 4.14/4.30 tff(19178,plain,((~(s(s(s(s(elem!1)))) = s(elem!1))) | (s(elem!1) = s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(19179,plain,
% 4.14/4.30 (~(s(s(s(s(elem!1)))) = s(elem!1))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19178, 19174])).
% 4.14/4.30 tff(19180,plain,
% 4.14/4.30 (b(s(s(s(s(s(s(z)))))), s(s(s(z)))) <=> b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19166, 19171])).
% 4.14/4.30 tff(19181,plain,
% 4.14/4.30 ((~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) <=> (~b(s(s(s(s(elem!1)))), s(elem!1)))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19180])).
% 4.14/4.30 tff(19182,plain,
% 4.14/4.30 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> b(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19166])).
% 4.14/4.30 tff(19183,plain,
% 4.14/4.30 (b(s(s(s(s(elem!1)))), s(s(s(s(z))))) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.30 inference(symmetry,[status(thm)],[19182])).
% 4.14/4.30 tff(19184,plain,
% 4.14/4.30 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[178])).
% 4.14/4.30 tff(19185,plain,
% 4.14/4.30 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[8358, 17865, 165])).
% 4.14/4.30 tff(19186,plain,
% 4.14/4.30 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[1651, 19185, 1496])).
% 4.14/4.30 tff(19187,plain,
% 4.14/4.30 (b(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19186, 19184])).
% 4.14/4.30 tff(19188,plain,
% 4.14/4.30 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19187, 19183])).
% 4.14/4.30 tff(19189,plain,
% 4.14/4.30 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[4106, 72, 406])).
% 4.14/4.30 tff(19190,plain,
% 4.14/4.30 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[1011, 19189])).
% 4.14/4.30 tff(19191,plain,
% 4.14/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19192,plain,
% 4.14/4.30 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z)))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19193,plain,
% 4.14/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19192])).
% 4.14/4.30 tff(19194,plain,
% 4.14/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.14/4.30 inference(transitivity,[status(thm)],[19193, 19191])).
% 4.14/4.30 tff(19195,plain,
% 4.14/4.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))))),
% 4.14/4.30 inference(quant_inst,[status(thm)],[])).
% 4.14/4.30 tff(19196,plain,
% 4.14/4.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 4.14/4.30 tff(19197,plain,
% 4.14/4.30 ((~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19196, 338, 3348, 19190, 539, 175])).
% 4.14/4.30 tff(19198,plain,
% 4.14/4.30 (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19197, 19188])).
% 4.14/4.30 tff(19199,plain,
% 4.14/4.30 (~b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19198, 19181])).
% 4.14/4.30 tff(19200,plain,
% 4.14/4.30 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[17655, 19199, 19179])).
% 4.14/4.30 tff(19201,plain,
% 4.14/4.30 (r(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19200, 19173])).
% 4.14/4.30 tff(19202,plain,
% 4.14/4.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19203,plain,
% 4.14/4.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.30 inference(quant_inst,[status(thm)],[])).
% 4.14/4.30 tff(19204,plain,
% 4.14/4.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19203, 19202])).
% 4.14/4.30 tff(19205,plain,
% 4.14/4.30 ((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19204, 82, 406])).
% 4.14/4.30 tff(19206,plain,
% 4.14/4.30 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19205, 19201])).
% 4.14/4.30 tff(19207,plain,
% 4.14/4.30 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19206, 19170])).
% 4.14/4.30 tff(19208,plain,
% 4.14/4.30 (b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[1585, 19207])).
% 4.14/4.30 tff(19209,plain,
% 4.14/4.30 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19208, 19168])).
% 4.14/4.30 tff(19210,plain,
% 4.14/4.30 (b(s(z), s(s(s(s(s(s(z))))))) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19166])).
% 4.14/4.30 tff(19211,plain,
% 4.14/4.30 (b(s(z), s(s(s(s(elem!1))))) <=> b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(symmetry,[status(thm)],[19210])).
% 4.14/4.30 tff(19212,plain,
% 4.14/4.30 (r(s(z), s(s(s(s(s(s(z))))))) <=> r(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19166])).
% 4.14/4.30 tff(19213,plain,
% 4.14/4.30 ((~r(s(z), s(s(s(s(s(s(z)))))))) <=> (~r(s(z), s(s(s(s(elem!1))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19212])).
% 4.14/4.30 tff(19214,plain,
% 4.14/4.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19215,plain,
% 4.14/4.30 (((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19216,plain,
% 4.14/4.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z))))))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19215])).
% 4.14/4.30 tff(19217,plain,
% 4.14/4.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(transitivity,[status(thm)],[19216, 19214])).
% 4.14/4.30 tff(19218,plain,
% 4.14/4.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(quant_inst,[status(thm)],[])).
% 4.14/4.30 tff(19219,plain,
% 4.14/4.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 4.14/4.30 tff(19220,plain,
% 4.14/4.30 ((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19219, 82, 406])).
% 4.14/4.30 tff(19221,plain,
% 4.14/4.30 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19220, 19201])).
% 4.14/4.30 tff(19222,plain,
% 4.14/4.30 (~r(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19221, 19213])).
% 4.14/4.30 tff(19223,plain,
% 4.14/4.30 (b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[2239, 19222])).
% 4.14/4.30 tff(19224,plain,
% 4.14/4.30 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19223, 19211])).
% 4.14/4.30 tff(19225,plain,
% 4.14/4.30 (b(z, s(s(s(s(s(s(z))))))) <=> b(z, s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19166])).
% 4.14/4.30 tff(19226,plain,
% 4.14/4.30 (b(z, s(s(s(s(elem!1))))) <=> b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(symmetry,[status(thm)],[19225])).
% 4.14/4.30 tff(19227,plain,
% 4.14/4.30 (b(s(s(s(z))), s(s(s(s(s(s(z))))))) <=> b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19171, 19166])).
% 4.14/4.30 tff(19228,plain,
% 4.14/4.30 ((~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) <=> (~b(s(elem!1), s(s(s(s(elem!1))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19227])).
% 4.14/4.30 tff(19229,plain,
% 4.14/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19230,plain,
% 4.14/4.30 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19231,plain,
% 4.14/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19230])).
% 4.14/4.30 tff(19232,plain,
% 4.14/4.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(transitivity,[status(thm)],[19231, 19229])).
% 4.14/4.30 tff(19233,plain,
% 4.14/4.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(quant_inst,[status(thm)],[])).
% 4.14/4.30 tff(19234,plain,
% 4.14/4.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19233, 19232])).
% 4.14/4.30 tff(19235,plain,
% 4.14/4.30 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19234, 338, 3348, 19190, 539, 175])).
% 4.14/4.30 tff(19236,plain,
% 4.14/4.30 (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[19235, 19188])).
% 4.14/4.30 tff(19237,plain,
% 4.14/4.30 (~b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[19236, 19228])).
% 4.14/4.30 tff(19238,plain,
% 4.14/4.30 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[11676, 19237, 19174])).
% 4.14/4.30 tff(19239,plain,
% 4.14/4.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19240,plain,
% 4.14/4.30 (((~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), z))) <=> ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(19241,plain,
% 4.14/4.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1))))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[19240])).
% 4.14/4.30 tff(19242,plain,
% 4.14/4.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.14/4.30 inference(transitivity,[status(thm)],[19241, 19239])).
% 4.14/4.30 tff(19243,plain,
% 4.14/4.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(19244,plain,
% 4.14/4.31 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1))))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19243, 19242])).
% 4.14/4.31 tff(19245,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19244, 82, 1815, 1678, 11672])).
% 4.14/4.31 tff(19246,plain,((~r(s(elem!1), s(s(s(s(elem!1)))))) | (~r(s(elem!1), z)) | (~r(z, s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(19247,plain,
% 4.14/4.31 (~r(z, s(s(s(s(elem!1)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19246, 19238, 1815])).
% 4.14/4.31 tff(19248,plain,
% 4.14/4.31 (b(z, s(s(s(s(elem!1)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1698, 19247])).
% 4.14/4.31 tff(19249,plain,
% 4.14/4.31 (b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19248, 19226])).
% 4.14/4.31 tff(19250,plain,
% 4.14/4.31 (~r(z, s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11465, 72, 371])).
% 4.14/4.31 tff(19251,plain,
% 4.14/4.31 (b(z, s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[403, 19250])).
% 4.14/4.31 tff(19252,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(19253,plain,
% 4.14/4.31 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(19254,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19253])).
% 4.14/4.31 tff(19255,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.31 inference(transitivity,[status(thm)],[19254, 19252])).
% 4.14/4.31 tff(19256,plain,
% 4.14/4.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(19257,plain,
% 4.14/4.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19256, 19255])).
% 4.14/4.31 tff(19258,plain,
% 4.14/4.31 ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19257, 338, 19251, 1740])).
% 4.14/4.31 tff(19259,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19258, 19249, 19224, 19209])).
% 4.14/4.31 tff(19260,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(elem!1), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(19261,plain,
% 4.14/4.31 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19260, 19164, 18483, 406, 19156, 3348, 19159, 175, 2119, 165, 371])).
% 4.14/4.31 tff(19262,plain,
% 4.14/4.31 (b(s(z), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[106, 19261])).
% 4.14/4.31 tff(19263,plain,
% 4.14/4.31 (b(s(z), s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[13911, 19262, 19157])).
% 4.14/4.31 tff(19264,plain,
% 4.14/4.31 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19161])).
% 4.14/4.31 tff(19265,plain,
% 4.14/4.31 (elem!1 = s(s(z))),
% 4.14/4.31 inference(transitivity,[status(thm)],[5450, 19264, 52])).
% 4.14/4.31 tff(19266,plain,
% 4.14/4.31 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19265])).
% 4.14/4.31 tff(19267,plain,
% 4.14/4.31 (b(s(z), s(s(z))) <=> b(s(z), elem!1)),
% 4.14/4.31 inference(symmetry,[status(thm)],[19266])).
% 4.14/4.31 tff(19268,plain,
% 4.14/4.31 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3204, 19262, 175, 18483, 19155])).
% 4.14/4.31 tff(19269,plain,
% 4.14/4.31 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[119, 19268])).
% 4.14/4.31 tff(19270,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11489, 19269, 3348, 18483, 19155])).
% 4.14/4.31 tff(19271,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1011, 19270])).
% 4.14/4.31 tff(19272,plain,
% 4.14/4.31 ((elem!1 = s(elem!1)) <=> (elem!1 = s(s(s(z))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19161])).
% 4.14/4.31 tff(19273,plain,
% 4.14/4.31 ((elem!1 = s(elem!1)) <=> (s(s(s(z))) = elem!1)),
% 4.14/4.31 inference(transitivity,[status(thm)],[19272, 1051])).
% 4.14/4.31 tff(19274,plain,
% 4.14/4.31 ((~(elem!1 = s(elem!1))) <=> (~(s(s(s(z))) = elem!1))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19273])).
% 4.14/4.31 tff(19275,plain,
% 4.14/4.31 (~(s(s(s(z))) = elem!1)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[232, 19274])).
% 4.14/4.31 tff(19276,plain,
% 4.14/4.31 (r(s(z), elem!1) <=> r(s(z), s(s(z)))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[16902])).
% 4.14/4.31 tff(19277,plain,
% 4.14/4.31 (r(s(z), s(s(z))) <=> r(s(z), elem!1)),
% 4.14/4.31 inference(symmetry,[status(thm)],[19276])).
% 4.14/4.31 tff(19278,plain,
% 4.14/4.31 (r(s(z), elem!1)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[70, 19277])).
% 4.14/4.31 tff(19279,plain,
% 4.14/4.31 (~r(s(s(s(z))), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[12500, 19278, 427])).
% 4.14/4.31 tff(19280,plain,
% 4.14/4.31 (b(s(s(z)), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[17906])).
% 4.14/4.31 tff(19281,plain,
% 4.14/4.31 (~r(s(s(z)), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[13187, 70, 406])).
% 4.14/4.31 tff(19282,plain,
% 4.14/4.31 (b(s(s(z)), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[534, 19281])).
% 4.14/4.31 tff(19283,plain,
% 4.14/4.31 (b(elem!1, s(s(s(z))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19282, 19280])).
% 4.14/4.31 tff(19284,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[16902])).
% 4.14/4.31 tff(19285,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.14/4.31 inference(symmetry,[status(thm)],[19284])).
% 4.14/4.31 tff(19286,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[113, 70, 108])).
% 4.14/4.31 tff(19287,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[68, 19286])).
% 4.14/4.31 tff(19288,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), elem!1)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19287, 19285])).
% 4.14/4.31 tff(19289,plain,
% 4.14/4.31 (~b(s(s(s(z))), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[2389, 19288, 539, 987, 19283])).
% 4.14/4.31 tff(19290,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1110, 19289, 19279, 1103])).
% 4.14/4.31 tff(19291,plain,((~r(s(z), s(s(z)))) | (s(s(s(z))) = elem!1) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(19292,plain,
% 4.14/4.31 (~r(s(z), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19291, 19275, 19159, 19271, 427, 19156, 406, 19269])).
% 4.14/4.31 tff(19293,plain,
% 4.14/4.31 (b(s(z), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[455, 19292])).
% 4.14/4.31 tff(19294,plain,
% 4.14/4.31 (b(s(z), elem!1)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19293, 19267])).
% 4.14/4.31 tff(19295,plain,
% 4.14/4.31 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19156])).
% 4.14/4.31 tff(19296,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 4.14/4.31 inference(symmetry,[status(thm)],[19295])).
% 4.14/4.31 tff(19297,plain,
% 4.14/4.31 (b(s(s(elem!1)), z)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[175, 19296])).
% 4.14/4.31 tff(19298,plain,
% 4.14/4.31 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19156])).
% 4.14/4.31 tff(19299,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.14/4.31 inference(symmetry,[status(thm)],[19298])).
% 4.14/4.31 tff(19300,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19265])).
% 4.14/4.31 tff(19301,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.14/4.31 inference(symmetry,[status(thm)],[19300])).
% 4.14/4.31 tff(19302,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 4.14/4.31 inference(transitivity,[status(thm)],[19301, 19299])).
% 4.14/4.31 tff(19303,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(s(z))))),
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% 4.14/4.31 tff(19304,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1011, 19303])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[512, 21, 561, 502])).
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% 4.14/4.31 (~r(z, s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[4055, 82, 71, 19305])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[389, 21, 19306])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[19307, 4049])).
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% 4.14/4.31 tff(19311,plain,
% 4.14/4.31 (~b(s(s(s(s(z)))), z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19310, 561, 987, 539, 71, 3348])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[127, 19311])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[3912, 82, 71, 19312, 19305])).
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% 4.14/4.31 tff(19315,plain,
% 4.14/4.31 (b(z, s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19314, 71, 3348, 19304, 539])).
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% 4.14/4.31 tff(19318,plain,
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[19317, 19293, 18483, 19155, 19269, 3348, 19159])).
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% 4.14/4.31 (b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[68, 19318])).
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% 4.14/4.31 inference(modus_ponens,[status(thm)],[19319, 19302])).
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% 4.14/4.31 inference(monotonicity,[status(thm)],[19265])).
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% 4.14/4.31 inference(transitivity,[status(thm)],[19321, 3889])).
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% 4.14/4.31 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.14/4.31 inference(symmetry,[status(thm)],[19322])).
% 4.14/4.31 tff(19324,plain,
% 4.14/4.31 ((~(s(s(z)) = z)) <=> (~(z = elem!1))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19323])).
% 4.14/4.31 tff(19325,plain,
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% 4.14/4.31 inference(modus_ponens,[status(thm)],[56, 19324])).
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% 4.14/4.31 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19161])).
% 4.14/4.31 tff(19327,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(elem!1))),
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% 4.14/4.31 tff(19328,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(elem!1))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19271, 19327])).
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% 4.14/4.31 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19161])).
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% 4.14/4.31 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.14/4.31 inference(symmetry,[status(thm)],[19329])).
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% 4.14/4.31 inference(modus_ponens,[status(thm)],[19159, 19330])).
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% 4.14/4.31 (b(z, s(elem!1)) <=> b(z, s(s(s(z))))),
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% 4.14/4.31 (b(z, s(s(s(z)))) <=> b(z, s(elem!1))),
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% 4.14/4.31 inference(modus_ponens,[status(thm)],[3348, 19333])).
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% 4.14/4.31 (b(s(s(s(s(z)))), elem!1)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19319, 19301])).
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% 4.14/4.31 (~b(s(elem!1), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[8710, 19335, 175, 19334, 19331, 19328])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[312, 19336, 294])).
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% 4.14/4.31 (~r(z, elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[2764, 19337, 19164])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[353, 19338, 19325])).
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% 4.14/4.31 (~b(elem!1, s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[12668, 19339, 19320, 19297, 19294, 19263])).
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% 4.14/4.31 inference(transitivity,[status(thm)],[19323, 2749])).
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% 4.14/4.31 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19341])).
% 4.14/4.31 tff(19343,plain,
% 4.14/4.31 (~(elem!1 = z)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[56, 19342])).
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% 4.14/4.31 (r(elem!1, z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[18760, 19338, 18483, 19155, 19343, 19294])).
% 4.14/4.31 tff(19345,plain,
% 4.14/4.31 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1081, 19344, 165])).
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% 4.14/4.31 tff(19348,plain,
% 4.14/4.31 (~r(z, s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19347, 162, 137, 175, 3348, 427, 406, 426, 62])).
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% 4.14/4.31 (b(z, s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[391, 19348])).
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% 4.14/4.31 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[18635, 19349, 18483, 175, 19155])).
% 4.14/4.31 tff(19351,plain,
% 4.14/4.31 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[119, 19350])).
% 4.14/4.31 tff(19352,plain,
% 4.14/4.31 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[2324, 19349, 140])).
% 4.14/4.31 tff(19353,plain,
% 4.14/4.31 (~(s(s(s(z))) = s(elem!1))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[10692, 19352])).
% 4.14/4.31 tff(19354,plain,
% 4.14/4.31 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[4794, 19353])).
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% 4.14/4.31 (~(s(z) = elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[10349, 19159, 62])).
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% 4.14/4.31 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1237, 19355])).
% 4.14/4.31 tff(19357,plain,
% 4.14/4.31 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11433, 162, 426])).
% 4.14/4.31 tff(19358,plain,
% 4.14/4.31 (b(s(s(s(z))), s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[6754, 19357, 19356])).
% 4.14/4.31 tff(19359,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11489, 19351, 3348, 18483, 19155])).
% 4.14/4.31 tff(19360,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1011, 19359])).
% 4.14/4.31 tff(19361,plain,
% 4.14/4.31 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19146, 19360, 175, 3348, 19159, 19358])).
% 4.14/4.31 tff(19362,plain,
% 4.14/4.31 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[10478, 19361, 19354])).
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% 4.14/4.31 (~b(s(z), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3505, 19349, 175, 18483, 19155])).
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% 4.14/4.31 (r(s(z), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[106, 19363])).
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% 4.14/4.31 (~b(s(z), s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11175, 19360, 175, 3348, 19358, 19349, 19364])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[743, 19365])).
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% 4.14/4.31 inference(unit_resolution,[status(thm)],[15263, 19366, 19362, 19351])).
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% 4.14/4.31 tff(19369,plain,
% 4.14/4.31 (~r(s(z), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19368, 19153, 3348, 137, 427, 175, 136, 62])).
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% 4.14/4.31 (b(s(z), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[424, 19369])).
% 4.14/4.31 tff(19371,plain,
% 4.14/4.31 (~(s(z) = elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[10349, 19098, 62])).
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% 4.14/4.31 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1237, 19371])).
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% 4.14/4.31 (r(z, s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[161, 19153])).
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% 4.14/4.31 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11433, 165, 426])).
% 4.14/4.31 tff(19375,plain,
% 4.14/4.31 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[16546, 370, 486, 426, 1740, 871, 457, 19374])).
% 4.14/4.31 tff(19376,plain,
% 4.14/4.31 (b(s(z), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[106, 19375])).
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% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3505, 15160, 19376, 175, 1740, 486])).
% 4.14/4.31 tff(19378,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(19379,plain,
% 4.14/4.31 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19378, 19092, 175, 19096, 19373, 136, 19372, 19370])).
% 4.14/4.31 tff(19380,plain,
% 4.14/4.31 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[368, 19379, 62])).
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% 4.14/4.31 (~b(z, s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[2324, 19380, 19153])).
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% 4.14/4.31 (r(z, s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[391, 19381])).
% 4.14/4.31 tff(19383,plain,
% 4.14/4.31 ((elem!1 = s(elem!1)) <=> (elem!1 = s(s(s(z))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[183])).
% 4.14/4.31 tff(19384,plain,
% 4.14/4.31 ((elem!1 = s(elem!1)) <=> (s(s(s(z))) = elem!1)),
% 4.14/4.31 inference(transitivity,[status(thm)],[19383, 1051])).
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% 4.14/4.31 ((elem!1 = s(elem!1)) <=> (elem!1 = s(s(s(z))))),
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% 4.14/4.31 ((~(elem!1 = s(elem!1))) <=> (~(elem!1 = s(s(s(z)))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19385])).
% 4.14/4.31 tff(19387,plain,
% 4.14/4.31 (~(elem!1 = s(s(s(z))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[14143, 19386])).
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% 4.14/4.31 (~(s(s(s(s(z)))) = elem!1)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[207, 18080])).
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% 4.14/4.31 (~b(s(s(s(s(z)))), s(z))),
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% 4.14/4.31 (r(s(s(s(s(z)))), s(z))),
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% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(s(z))))),
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% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(z))))),
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% 4.14/4.31 (b(s(s(s(s(z)))), s(elem!1))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19392, 10695])).
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% 4.14/4.31 (b(z, s(elem!1)) <=> b(z, s(s(s(z))))),
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% 4.14/4.31 (b(z, s(s(s(z)))) <=> b(z, s(elem!1))),
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% 4.14/4.31 inference(modus_ponens,[status(thm)],[3348, 19395])).
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% 4.14/4.31 inference(modus_ponens,[status(thm)],[136, 17836])).
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% 4.14/4.31 (b(s(elem!1), s(s(s(s(z)))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[19098, 17903])).
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% 4.14/4.31 (~b(s(elem!1), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[8710, 1130, 175, 1597, 19398, 3663])).
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% 4.14/4.31 (r(s(elem!1), elem!1)),
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% 4.14/4.31 (~r(z, elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[2764, 19400, 19397])).
% 4.14/4.31 tff(19402,plain,
% 4.14/4.31 ((s(s(z)) = z) <=> (elem!1 = z)),
% 4.14/4.31 inference(transitivity,[status(thm)],[16905, 2749])).
% 4.14/4.31 tff(19403,plain,
% 4.14/4.31 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19402])).
% 4.14/4.31 tff(19404,plain,
% 4.14/4.31 (~(elem!1 = z)),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[56, 19403])).
% 4.14/4.31 tff(19405,plain,
% 4.14/4.31 (b(z, elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[353, 19401, 16907])).
% 4.14/4.31 tff(19406,plain,
% 4.14/4.31 (~b(elem!1, s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[18752, 19405, 19092, 19096, 17834, 691, 207, 72, 19098, 178])).
% 4.14/4.31 tff(19407,plain,
% 4.14/4.31 (r(elem!1, s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1160, 19406, 19387])).
% 4.14/4.31 tff(19408,plain,
% 4.14/4.31 (~r(elem!1, z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3397, 19407, 136])).
% 4.14/4.31 tff(19409,plain,
% 4.14/4.31 (~b(s(z), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[18760, 19408, 19092, 19096, 19404, 19401])).
% 4.14/4.31 tff(19410,plain,
% 4.14/4.31 (r(s(z), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[701, 19409, 691])).
% 4.14/4.31 tff(19411,plain,
% 4.14/4.31 (~r(elem!1, s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3247, 19410, 72])).
% 4.14/4.31 tff(19412,plain,
% 4.14/4.31 (b(elem!1, z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[846, 19408, 19404])).
% 4.14/4.31 tff(19413,plain,
% 4.14/4.31 (~r(s(s(s(z))), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[12500, 19410, 427])).
% 4.14/4.31 tff(19414,plain,
% 4.14/4.31 (~b(elem!1, s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[16597, 19413, 1130, 129, 19098, 19412, 175])).
% 4.14/4.31 tff(19415,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1094, 19414, 19411, 18734])).
% 4.14/4.31 tff(19416,plain,((~b(s(s(s(s(z)))), elem!1)) | b(s(s(s(z))), z) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (s(z) = elem!1) | (s(s(elem!1)) = elem!1) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(19417,plain,
% 4.14/4.31 (~b(s(s(s(s(z)))), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19416, 72, 175, 129, 427, 691, 207, 178, 19396, 19393])).
% 4.14/4.31 tff(19418,plain,
% 4.14/4.31 (r(s(s(s(s(z)))), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1144, 19417, 19388])).
% 4.14/4.31 tff(19419,plain,
% 4.14/4.31 (~r(z, elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11382, 19418, 371])).
% 4.14/4.31 tff(19420,plain,
% 4.14/4.31 (b(z, elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[353, 19419, 16907])).
% 4.14/4.31 tff(19421,plain,
% 4.14/4.31 (~b(elem!1, s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[18752, 19420, 19092, 19096, 17834, 691, 207, 72, 19098, 178])).
% 4.14/4.31 tff(19422,plain,
% 4.14/4.31 (~r(s(z), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3417, 19418, 19390])).
% 4.14/4.31 tff(19423,plain,
% 4.14/4.31 (b(s(z), elem!1)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[701, 19422, 691])).
% 4.14/4.31 tff(19424,plain,
% 4.14/4.31 (r(elem!1, z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[18760, 19423, 19092, 19096, 19404, 19419])).
% 4.14/4.31 tff(19425,plain,
% 4.14/4.31 (~r(elem!1, s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3397, 19424, 136])).
% 4.14/4.31 tff(19426,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1160, 19425, 19421, 19387])).
% 4.14/4.31 tff(19427,plain,((~r(s(z), s(s(s(s(z)))))) | (s(z) = elem!1) | (s(s(elem!1)) = elem!1) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | b(s(s(s(z))), z) | (~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(19428,plain,
% 4.14/4.31 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[19427, 19371, 197, 19380, 19382, 175, 129, 427, 3348, 19370])).
% 4.14/4.31 tff(19429,plain,
% 4.14/4.31 (b(s(z), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[106, 19428])).
% 4.14/4.31 tff(19430,plain,
% 4.14/4.31 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3204, 19429, 175, 19092, 19096])).
% 4.14/4.31 tff(19431,plain,
% 4.14/4.31 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[119, 19430])).
% 4.14/4.31 tff(19432,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11489, 19431, 3348, 19092, 19096])).
% 4.14/4.31 tff(19433,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1011, 19432])).
% 4.14/4.31 tff(19434,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(19435,plain,
% 4.14/4.31 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(19436,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[19435])).
% 4.14/4.31 tff(19437,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[19436, 19434])).
% 4.14/4.32 tff(19438,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(19439,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19438, 19437])).
% 4.14/4.32 tff(19440,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19439, 338, 19370, 3348, 19433, 19429, 19098, 175])).
% 4.14/4.32 tff(19441,plain,((~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z))))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(19442,plain,
% 4.14/4.32 (~r(s(s(s(z))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19441, 19090, 128, 129, 62, 137])).
% 4.14/4.32 tff(19443,plain,
% 4.14/4.32 (b(s(s(s(z))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[437, 19442])).
% 4.14/4.32 tff(19444,plain,
% 4.14/4.32 (~r(s(s(s(z))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19441, 3348, 175, 129, 62, 137])).
% 4.14/4.32 tff(19445,assumption,(~r(s(s(s(z))), s(z))), introduced(assumption)).
% 4.14/4.32 tff(19446,plain,
% 4.14/4.32 (b(s(s(s(z))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[437, 19445])).
% 4.14/4.32 tff(19447,plain,
% 4.14/4.32 (b(s(s(elem!1)), s(s(s(z))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6881, 1208, 6878])).
% 4.14/4.32 tff(19448,plain,
% 4.14/4.32 (b(s(s(s(z))), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6754, 871, 6752])).
% 4.14/4.32 tff(19449,plain,
% 4.14/4.32 (~b(s(s(elem!1)), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[10954, 19447, 458, 747, 19448])).
% 4.14/4.32 tff(19450,plain,
% 4.14/4.32 (r(s(s(elem!1)), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[784, 19449])).
% 4.14/4.32 tff(19451,plain,
% 4.14/4.32 (~r(s(s(elem!1)), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[792, 19450, 405])).
% 4.14/4.32 tff(19452,plain,
% 4.14/4.32 (b(s(s(elem!1)), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[800, 19451])).
% 4.14/4.32 tff(19453,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(19454,plain,
% 4.14/4.32 (((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(19455,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19454])).
% 4.14/4.32 tff(19456,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[19455, 19453])).
% 4.14/4.32 tff(19457,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(19458,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19457, 19456])).
% 4.14/4.32 tff(19459,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19458, 338, 19452, 747, 3348, 458, 19448, 19447])).
% 4.14/4.32 tff(19460,plain,((s(s(s(z))) = s(s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | r(s(s(elem!1)), s(s(s(z)))) | r(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(19461,plain,
% 4.14/4.32 (~b(s(z), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19460, 871, 3348, 458, 405, 6878, 6752])).
% 4.14/4.32 tff(19462,plain,
% 4.14/4.32 (r(s(z), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[743, 19461])).
% 4.14/4.32 tff(19463,plain,
% 4.14/4.32 (~r(s(s(elem!1)), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[17354, 19462, 405])).
% 4.14/4.32 tff(19464,plain,
% 4.14/4.32 (b(s(s(elem!1)), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[800, 19463])).
% 4.14/4.32 tff(19465,plain,
% 4.14/4.32 (~r(s(z), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[729, 162, 405])).
% 4.14/4.32 tff(19466,plain,
% 4.14/4.32 (b(s(z), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[743, 19465])).
% 4.14/4.32 tff(19467,plain,
% 4.14/4.32 (s(s(s(z))) = s(s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19460, 19466, 3348, 458, 405, 6878, 6752])).
% 4.14/4.32 tff(19468,plain,
% 4.14/4.32 (b(z, s(s(s(z)))) <=> b(z, s(s(elem!1)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19467])).
% 4.14/4.32 tff(19469,plain,
% 4.14/4.32 (b(z, s(s(elem!1))) <=> b(z, s(s(s(z))))),
% 4.14/4.32 inference(symmetry,[status(thm)],[19468])).
% 4.14/4.32 tff(19470,plain,
% 4.14/4.32 ((~b(z, s(s(elem!1)))) <=> (~b(z, s(s(s(z)))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19469])).
% 4.14/4.32 tff(19471,plain,
% 4.14/4.32 (~b(z, s(s(s(z))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[140, 19470])).
% 4.14/4.32 tff(19472,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[3348, 19471])).
% 4.14/4.32 tff(19473,plain,(b(z, s(s(elem!1))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | r(s(s(elem!1)), s(s(s(z)))) | r(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(19474,plain,
% 4.14/4.32 (b(z, s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19473, 6878, 458, 405, 3348, 6752])).
% 4.14/4.32 tff(19475,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(19476,plain,
% 4.14/4.32 (((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(19477,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19476])).
% 4.14/4.32 tff(19478,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[19477, 19475])).
% 4.14/4.32 tff(19479,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(z))))))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(19480,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 4.14/4.32 tff(19481,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19480, 338, 19474, 19464, 3348, 19448, 19447])).
% 4.14/4.32 tff(19482,plain,((s(s(s(z))) = s(s(elem!1))) | (~b(z, s(s(s(z))))) | (~r(s(z), z)) | r(s(s(elem!1)), s(s(s(z)))) | (~b(s(s(s(z))), s(z))) | r(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(19483,plain,
% 4.14/4.32 (s(s(s(z))) = s(s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19482, 16978, 405, 3348, 19446, 16980])).
% 4.14/4.32 tff(19484,plain,
% 4.14/4.32 (b(s(s(s(z))), s(s(z))) <=> b(s(s(elem!1)), s(s(z)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19483])).
% 4.14/4.32 tff(19485,plain,
% 4.14/4.32 (s(z) = elem!1),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1237, 19483])).
% 4.14/4.32 tff(19486,plain,
% 4.14/4.32 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19485])).
% 4.14/4.32 tff(19487,plain,
% 4.14/4.32 (b(elem!1, s(s(s(s(z)))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[651, 19486])).
% 4.14/4.32 tff(19488,plain,
% 4.14/4.32 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19483])).
% 4.14/4.32 tff(19489,plain,
% 4.14/4.32 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(z))))),
% 4.14/4.32 inference(symmetry,[status(thm)],[19488])).
% 4.14/4.32 tff(19490,plain,
% 4.14/4.32 (r(elem!1, z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[867, 19485, 405])).
% 4.14/4.32 tff(19491,plain,
% 4.14/4.32 (~b(s(s(elem!1)), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[881, 19483, 129])).
% 4.14/4.32 tff(19492,plain,
% 4.14/4.32 (r(s(s(elem!1)), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[800, 19491])).
% 4.14/4.32 tff(19493,plain,
% 4.14/4.32 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[17270, 19492, 19490])).
% 4.14/4.32 tff(19494,plain,
% 4.14/4.32 (b(elem!1, s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[321, 19493, 137])).
% 4.14/4.32 tff(19495,plain,
% 4.14/4.32 (b(elem!1, s(s(s(z))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19494, 19489])).
% 4.14/4.32 tff(19496,plain,
% 4.14/4.32 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19483])).
% 4.14/4.32 tff(19497,plain,
% 4.14/4.32 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19496])).
% 4.14/4.32 tff(19498,plain,
% 4.14/4.32 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[370, 19497])).
% 4.14/4.32 tff(19499,plain,
% 4.14/4.32 (~r(z, s(s(s(elem!1))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[7217, 19498, 19492])).
% 4.14/4.32 tff(19500,plain,
% 4.14/4.32 (b(z, s(s(s(elem!1))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1373, 19499])).
% 4.14/4.32 tff(19501,plain,
% 4.14/4.32 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19496])).
% 4.14/4.32 tff(19502,plain,
% 4.14/4.32 (b(s(s(s(elem!1))), z)),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[175, 19501])).
% 4.14/4.32 tff(19503,plain,
% 4.14/4.32 (r(z, elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1733, 19485, 1731])).
% 4.14/4.32 tff(19504,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19496])).
% 4.14/4.32 tff(19505,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19485])).
% 4.14/4.32 tff(19506,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(elem!1))), elem!1)),
% 4.14/4.32 inference(transitivity,[status(thm)],[19505, 19504])).
% 4.14/4.32 tff(19507,plain,
% 4.14/4.32 (b(s(z), s(s(s(z)))) <=> b(s(z), s(s(elem!1)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19483])).
% 4.14/4.32 tff(19508,plain,
% 4.14/4.32 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(z))))),
% 4.14/4.32 inference(symmetry,[status(thm)],[19507])).
% 4.14/4.32 tff(19509,plain,
% 4.14/4.32 (~r(s(z), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[17354, 19492, 405])).
% 4.14/4.32 tff(19510,plain,
% 4.14/4.32 (b(s(z), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[743, 19509])).
% 4.14/4.32 tff(19511,plain,
% 4.14/4.32 (b(s(z), s(s(s(z))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19510, 19508])).
% 4.14/4.32 tff(19512,plain,
% 4.14/4.32 (~r(s(s(elem!1)), elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2552, 19492, 19503])).
% 4.14/4.32 tff(19513,plain,
% 4.14/4.32 (b(s(s(elem!1)), elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[327, 19512, 197])).
% 4.14/4.32 tff(19514,plain,
% 4.14/4.32 (~(z = elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[906, 19513, 19491])).
% 4.14/4.32 tff(19515,plain,
% 4.14/4.32 (~(elem!1 = z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[716, 19514])).
% 4.14/4.32 tff(19516,plain,
% 4.14/4.32 (b(z, s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19473, 16978, 19446, 405, 3348, 16980])).
% 4.14/4.32 tff(19517,plain,
% 4.14/4.32 (s(z) = elem!1),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1237, 875])).
% 4.14/4.32 tff(19518,plain,
% 4.14/4.32 (r(elem!1, z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[867, 19517, 405])).
% 4.14/4.32 tff(19519,plain,
% 4.14/4.32 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[1425])).
% 4.14/4.32 tff(19520,plain,
% 4.14/4.32 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19517])).
% 4.14/4.32 tff(19521,plain,
% 4.14/4.32 (b(elem!1, s(s(s(s(z)))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[651, 19520])).
% 4.14/4.32 tff(19522,plain,
% 4.14/4.32 (b(elem!1, s(s(s(elem!1))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19521, 19519])).
% 4.14/4.32 tff(19523,plain,
% 4.14/4.32 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[1425])).
% 4.14/4.32 tff(19524,plain,
% 4.14/4.32 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19517])).
% 4.14/4.32 tff(19525,plain,
% 4.14/4.32 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(elem!1))), elem!1)),
% 4.14/4.32 inference(transitivity,[status(thm)],[19524, 19523])).
% 4.14/4.32 tff(19526,plain,
% 4.14/4.32 (b(s(s(s(elem!1))), elem!1)),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[2911, 19525])).
% 4.14/4.32 tff(19527,plain,
% 4.14/4.32 (~r(s(elem!1), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[18982, 2636, 1929, 1564, 246, 306, 802, 234])).
% 4.14/4.32 tff(19528,plain,
% 4.14/4.32 (b(s(elem!1), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1812, 19527])).
% 4.14/4.32 tff(19529,plain,
% 4.14/4.32 (~r(elem!1, s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1673, 233, 802])).
% 4.14/4.32 tff(19530,plain,
% 4.14/4.32 (b(elem!1, s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[252, 19529, 246])).
% 4.14/4.32 tff(19531,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[13508, 18679, 19530, 2636, 1929, 1564])).
% 4.14/4.32 tff(19532,plain,((~r(z, s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(elem!1) = elem!1) | (elem!1 = s(elem!1)) | (~r(z, elem!1)) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(19533,plain,
% 4.14/4.32 (~r(z, s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19532, 2636, 234, 1564, 306, 246, 1929, 802])).
% 4.14/4.32 tff(19534,plain,
% 4.14/4.32 (b(z, s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1615, 19533])).
% 4.14/4.32 tff(19535,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[5353, 338, 1595, 1596, 19534, 1564, 19528])).
% 4.14/4.32 tff(19536,plain,((~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (elem!1 = s(elem!1)) | (s(elem!1) = elem!1) | (~r(elem!1, z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(19537,plain,
% 4.14/4.32 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19536, 19526, 234, 19518, 19522, 232, 294, 1596, 1595])).
% 4.14/4.32 tff(19538,plain,
% 4.14/4.32 (r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1515, 19537, 210])).
% 4.14/4.32 tff(19539,plain,
% 4.14/4.32 (~r(s(s(elem!1)), s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2629, 19538, 2257])).
% 4.14/4.32 tff(19540,plain,
% 4.14/4.32 (b(s(s(elem!1)), s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[277, 19539, 225])).
% 4.14/4.32 tff(19541,plain,
% 4.14/4.32 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19517])).
% 4.14/4.32 tff(19542,plain,
% 4.14/4.32 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.14/4.32 inference(transitivity,[status(thm)],[19541, 1254])).
% 4.14/4.32 tff(19543,plain,
% 4.14/4.32 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19542])).
% 4.14/4.32 tff(19544,plain,
% 4.14/4.32 (~(s(s(s(elem!1))) = elem!1)),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[1263, 19543])).
% 4.14/4.32 tff(19545,plain,
% 4.14/4.32 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1336, 19544])).
% 4.14/4.32 tff(19546,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[1425])).
% 4.14/4.32 tff(19547,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[875])).
% 4.14/4.32 tff(19548,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.14/4.32 inference(transitivity,[status(thm)],[19547, 19546])).
% 4.14/4.32 tff(19549,plain,
% 4.14/4.32 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[5079, 2911, 458, 651, 457])).
% 4.14/4.32 tff(19550,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1011, 19549])).
% 4.14/4.32 tff(19551,plain,
% 4.14/4.32 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19550, 19548])).
% 4.14/4.32 tff(19552,plain,
% 4.14/4.32 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2279, 1621, 762, 763, 1496, 2257])).
% 4.14/4.32 tff(19553,plain,
% 4.14/4.32 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1562, 19552, 1475])).
% 4.14/4.32 tff(19554,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(19555,plain,
% 4.14/4.32 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(19556,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19555])).
% 4.14/4.32 tff(19557,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.14/4.32 inference(transitivity,[status(thm)],[19556, 19554])).
% 4.14/4.32 tff(19558,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(19559,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19558, 19557])).
% 4.14/4.32 tff(19560,plain,
% 4.14/4.32 (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19559, 338, 1929, 2636, 19553, 1621])).
% 4.14/4.32 tff(19561,plain,
% 4.14/4.32 ((s(s(s(elem!1))) = s(s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[13462, 21, 19560])).
% 4.14/4.32 tff(19562,plain,
% 4.14/4.32 (r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19561, 13131])).
% 4.14/4.32 tff(19563,plain,
% 4.14/4.32 (r(elem!1, z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[867, 405, 749])).
% 4.14/4.32 tff(19564,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2863, 338, 2303, 1929, 2636, 2208, 1621])).
% 4.14/4.32 tff(19565,plain,((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(19566,plain,
% 4.14/4.32 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19565, 19553, 2636, 1929, 1621])).
% 4.14/4.32 tff(19567,plain,
% 4.14/4.32 (r(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2297, 19566, 5369])).
% 4.14/4.32 tff(19568,plain,
% 4.14/4.32 (~r(z, s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2292, 19567, 19563])).
% 4.14/4.32 tff(19569,plain,
% 4.14/4.32 (b(z, s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1698, 19568])).
% 4.14/4.32 tff(19570,plain,
% 4.14/4.32 (r(s(z), s(s(s(s(elem!1))))) <=> r(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[749])).
% 4.14/4.32 tff(19571,plain,
% 4.14/4.32 (r(elem!1, s(s(s(s(elem!1))))) <=> r(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(symmetry,[status(thm)],[19570])).
% 4.14/4.32 tff(19572,plain,
% 4.14/4.32 (r(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19567, 19571])).
% 4.14/4.32 tff(19573,plain,
% 4.14/4.32 (~r(s(s(s(s(elem!1)))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2233, 19572, 405])).
% 4.14/4.32 tff(19574,plain,
% 4.14/4.32 (b(s(s(s(s(elem!1)))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1638, 19573])).
% 4.14/4.32 tff(19575,plain,
% 4.14/4.32 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[5765, 19562, 1294])).
% 4.14/4.32 tff(19576,plain,
% 4.14/4.32 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1724, 19575, 2266])).
% 4.14/4.32 tff(19577,plain,
% 4.14/4.32 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[9639, 19576, 8722, 19574, 19569])).
% 4.14/4.32 tff(19578,plain,
% 4.14/4.32 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1651, 19577, 1496])).
% 4.14/4.32 tff(19579,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[17717, 82, 1294, 19578, 19562])).
% 4.14/4.32 tff(19580,plain,((~b(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(z), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~(s(z) = elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(19581,plain,
% 4.14/4.32 (~b(s(s(s(s(elem!1)))), elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19580, 19551, 405, 2119, 2181, 8722, 8573, 19526, 19517, 19522, 8574, 2257])).
% 4.14/4.32 tff(19582,plain,
% 4.14/4.32 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1593, 19581, 19517])).
% 4.14/4.32 tff(19583,plain,
% 4.14/4.32 (r(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1585, 19582])).
% 4.14/4.32 tff(19584,plain,
% 4.14/4.32 (r(s(s(s(s(elem!1)))), elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2193, 19583, 19517])).
% 4.14/4.32 tff(19585,plain,
% 4.14/4.32 (~r(s(elem!1), elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[5295, 19584, 234, 19545])).
% 4.14/4.32 tff(19586,plain,
% 4.14/4.32 (b(s(elem!1), elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[312, 19585, 294])).
% 4.14/4.32 tff(19587,plain,
% 4.14/4.32 (~b(elem!1, s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[346, 19586, 317, 137, 323, 19540])).
% 4.14/4.32 tff(19588,plain,
% 4.14/4.32 (r(elem!1, s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[252, 19587, 232])).
% 4.14/4.32 tff(19589,plain,
% 4.14/4.32 (~r(z, s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1673, 19588, 19518])).
% 4.14/4.32 tff(19590,plain,
% 4.14/4.32 (b(z, s(s(s(s(z))))) <=> b(z, s(s(s(elem!1))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[1425])).
% 4.14/4.32 tff(19591,plain,
% 4.14/4.32 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(s(s(z)))))),
% 4.14/4.32 inference(symmetry,[status(thm)],[19590])).
% 4.14/4.32 tff(19592,plain,
% 4.14/4.32 (b(z, s(s(s(s(z)))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[1595, 19591])).
% 4.14/4.32 tff(19593,plain,
% 4.14/4.32 (~b(s(s(elem!1)), s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[9332, 3079, 1597, 1796, 8722, 6853])).
% 4.14/4.32 tff(19594,plain,
% 4.14/4.32 (r(s(s(elem!1)), s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[277, 19593, 225])).
% 4.14/4.32 tff(19595,plain,
% 4.14/4.32 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2715, 19594, 235])).
% 4.14/4.32 tff(19596,plain,
% 4.14/4.32 (b(s(elem!1), s(s(elem!1)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1827, 21, 3079, 6853])).
% 4.14/4.32 tff(19597,plain,
% 4.14/4.32 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[2048, 19594, 1294])).
% 4.14/4.32 tff(19598,plain,
% 4.14/4.32 (b(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1971, 19597, 218])).
% 4.14/4.32 tff(19599,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(19600,plain,
% 4.14/4.32 (((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(19601,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[19600])).
% 4.14/4.32 tff(19602,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[19601, 19599])).
% 4.14/4.32 tff(19603,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(19604,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 4.14/4.32 tff(19605,plain,
% 4.14/4.32 (~b(s(s(s(elem!1))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[19604, 338, 19598, 8722, 1597, 1796, 19596])).
% 4.14/4.32 tff(19606,plain,
% 4.14/4.32 (~r(s(s(s(elem!1))), elem!1)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[8761, 19605, 719, 8722, 137, 323, 19595])).
% 4.14/4.32 tff(19607,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19608,plain,
% 4.14/4.33 (((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19609,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19608])).
% 4.14/4.33 tff(19610,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.14/4.33 inference(transitivity,[status(thm)],[19609, 19607])).
% 4.14/4.33 tff(19611,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(19612,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19611, 19610])).
% 4.14/4.33 tff(19613,plain,
% 4.14/4.33 (~b(z, s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19612, 338, 19598, 8722, 1597, 1796, 19596])).
% 4.14/4.33 tff(19614,plain,
% 4.14/4.33 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[2141, 19613, 555])).
% 4.14/4.33 tff(19615,plain,
% 4.14/4.33 (~(s(z) = elem!1)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1412, 19614])).
% 4.14/4.33 tff(19616,plain,
% 4.14/4.33 (r(s(s(s(elem!1))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1387, 19605])).
% 4.14/4.33 tff(19617,plain,
% 4.14/4.33 (r(z, s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1373, 19613])).
% 4.14/4.33 tff(19618,plain,
% 4.14/4.33 (~r(elem!1, s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[6371, 19617, 802])).
% 4.14/4.33 tff(19619,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[17069, 19618, 19616, 405, 234, 1271, 19615, 19606])).
% 4.14/4.33 tff(19620,plain,(r(s(elem!1), s(s(elem!1))) | (~r(s(z), z)) | (~r(z, elem!1)) | (s(s(s(elem!1))) = elem!1) | (~r(elem!1, z)) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(19621,plain,
% 4.14/4.33 (r(s(elem!1), s(s(elem!1)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19620, 5189, 234, 405, 802, 719, 8722, 137, 323, 555, 1597, 235, 1271, 1294])).
% 4.14/4.33 tff(19622,plain,
% 4.14/4.33 (r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1515, 11655, 210])).
% 4.14/4.33 tff(19623,plain,
% 4.14/4.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19624,plain,
% 4.14/4.33 (((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1))))) <=> ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19625,plain,
% 4.14/4.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1))))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19624])).
% 4.14/4.33 tff(19626,plain,
% 4.14/4.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.14/4.33 inference(transitivity,[status(thm)],[19625, 19623])).
% 4.14/4.33 tff(19627,plain,
% 4.14/4.33 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(19628,plain,
% 4.14/4.33 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(elem!1))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19627, 19626])).
% 4.14/4.33 tff(19629,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19628, 82, 19622, 2257, 19621])).
% 4.14/4.33 tff(19630,plain,((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(s(z), z)) | (~r(elem!1, z)) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (s(s(s(elem!1))) = elem!1) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(19631,plain,
% 4.14/4.33 (~b(z, s(elem!1))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19630, 19588, 8722, 19518, 719, 19592, 405, 137, 2257, 234, 323, 19544, 1596, 1595, 19551])).
% 4.14/4.33 tff(19632,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1615, 19631, 19589])).
% 4.14/4.33 tff(19633,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | (~r(s(z), z)) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, elem!1)) | r(s(s(elem!1)), elem!1) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | r(elem!1, s(s(elem!1))) | (~(s(s(s(z))) = s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(19634,plain,
% 4.14/4.33 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19633, 19516, 19515, 405, 137, 19498, 19503, 19512, 19502, 19500, 19493, 19483, 19446, 651, 19511])).
% 4.14/4.33 tff(19635,plain,
% 4.14/4.33 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[119, 19634])).
% 4.14/4.33 tff(19636,plain,
% 4.14/4.33 (r(s(s(s(elem!1))), elem!1)),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19635, 19506])).
% 4.14/4.33 tff(19637,plain,
% 4.14/4.33 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[2218, 19636, 19503, 19485, 2181, 19502, 19500])).
% 4.14/4.33 tff(19638,plain,
% 4.14/4.33 (b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1585, 19637])).
% 4.14/4.33 tff(19639,plain,
% 4.14/4.33 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1593, 19638, 19485])).
% 4.14/4.33 tff(19640,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19496])).
% 4.14/4.33 tff(19641,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19483])).
% 4.14/4.33 tff(19642,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.14/4.33 inference(transitivity,[status(thm)],[19641, 19640])).
% 4.14/4.33 tff(19643,plain,
% 4.14/4.33 (b(z, s(s(s(s(z))))) <=> b(z, s(s(s(elem!1))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19496])).
% 4.14/4.33 tff(19644,plain,
% 4.14/4.33 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(s(s(z)))))),
% 4.14/4.33 inference(symmetry,[status(thm)],[19643])).
% 4.14/4.33 tff(19645,plain,
% 4.14/4.33 (b(z, s(s(s(s(z)))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19500, 19644])).
% 4.14/4.33 tff(19646,plain,
% 4.14/4.33 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19496])).
% 4.14/4.33 tff(19647,plain,
% 4.14/4.33 (b(elem!1, s(s(s(elem!1))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19487, 19646])).
% 4.14/4.33 tff(19648,plain,
% 4.14/4.33 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[1233])).
% 4.14/4.33 tff(19649,plain,
% 4.14/4.33 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19517])).
% 4.14/4.33 tff(19650,plain,
% 4.14/4.33 (b(s(z), s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.14/4.33 inference(transitivity,[status(thm)],[19649, 19648])).
% 4.14/4.33 tff(19651,plain,
% 4.14/4.33 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1463, 1038, 457, 19446, 108])).
% 4.14/4.33 tff(19652,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[68, 19651])).
% 4.14/4.33 tff(19653,plain,
% 4.14/4.33 (~r(s(z), s(s(z)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[2503, 19652, 175, 405, 1731, 555])).
% 4.14/4.33 tff(19654,plain,
% 4.14/4.33 (b(s(z), s(s(z)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[455, 19653])).
% 4.14/4.33 tff(19655,plain,
% 4.14/4.33 (b(elem!1, s(elem!1))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19654, 19650])).
% 4.14/4.33 tff(19656,plain,
% 4.14/4.33 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 4.14/4.33 inference(symmetry,[status(thm)],[1425])).
% 4.14/4.33 tff(19657,plain,
% 4.14/4.33 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19656])).
% 4.14/4.33 tff(19658,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.33 inference(symmetry,[status(thm)],[19657])).
% 4.14/4.33 tff(19659,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[1233])).
% 4.14/4.33 tff(19660,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.33 inference(transitivity,[status(thm)],[19659, 19658])).
% 4.14/4.33 tff(19661,plain,
% 4.14/4.33 (b(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19652, 19660])).
% 4.14/4.33 tff(19662,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19663,plain,
% 4.14/4.33 (((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19664,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19663])).
% 4.14/4.33 tff(19665,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.14/4.33 inference(transitivity,[status(thm)],[19664, 19662])).
% 4.14/4.33 tff(19666,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(19667,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19666, 19665])).
% 4.14/4.33 tff(19668,plain,
% 4.14/4.33 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19667, 338, 19661, 763, 1929, 19655, 1621])).
% 4.14/4.33 tff(19669,plain,
% 4.14/4.33 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[1038, 19548])).
% 4.14/4.33 tff(19670,plain,
% 4.14/4.33 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19671,plain,
% 4.14/4.33 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(19672,plain,
% 4.14/4.33 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19671, 19670])).
% 4.14/4.33 tff(19673,plain,
% 4.14/4.33 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19672, 82, 1294, 1653])).
% 4.14/4.33 tff(19674,plain,
% 4.14/4.33 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1562, 19673, 2181])).
% 4.14/4.33 tff(19675,plain,
% 4.14/4.33 (~(s(s(s(elem!1))) = s(s(s(s(elem!1)))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[2181, 13130])).
% 4.14/4.33 tff(19676,plain,
% 4.14/4.33 (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[17717, 82, 1294, 1653])).
% 4.14/4.33 tff(19677,plain,
% 4.14/4.33 ((s(s(s(elem!1))) = s(s(s(s(elem!1))))) | b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[13462, 21, 19676])).
% 4.14/4.33 tff(19678,plain,
% 4.14/4.33 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19677, 19675])).
% 4.14/4.33 tff(19679,plain,
% 4.14/4.33 (~r(s(z), s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[4223, 721, 1294])).
% 4.14/4.33 tff(19680,plain,
% 4.14/4.33 (~r(s(s(s(elem!1))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[4215, 721, 1294])).
% 4.14/4.33 tff(19681,assumption,(~(s(z) = s(s(s(elem!1))))), introduced(assumption)).
% 4.14/4.33 tff(19682,plain,
% 4.14/4.33 ((s(z) = s(s(s(elem!1)))) | b(s(z), s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1868, 21, 1865])).
% 4.14/4.33 tff(19683,plain,
% 4.14/4.33 (b(s(z), s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19682, 19681])).
% 4.14/4.33 tff(19684,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19685,plain,
% 4.14/4.33 (((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1))))))) <=> ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19686,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z)))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19685])).
% 4.14/4.33 tff(19687,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))))),
% 4.14/4.33 inference(transitivity,[status(thm)],[19686, 19684])).
% 4.14/4.33 tff(19688,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(19689,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(z)))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 4.14/4.33 tff(19690,plain,
% 4.14/4.33 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19689, 338, 2208, 7419, 7528, 19683])).
% 4.14/4.33 tff(19691,plain,
% 4.14/4.33 ((s(s(s(elem!1))) = s(z)) | b(s(s(s(elem!1))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1878, 21, 1851])).
% 4.14/4.33 tff(19692,plain,
% 4.14/4.33 (s(s(s(elem!1))) = s(z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19691, 19690])).
% 4.14/4.33 tff(19693,plain,
% 4.14/4.33 (s(z) = s(s(s(elem!1)))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19692, 1872])).
% 4.14/4.33 tff(19694,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19681, 19693])).
% 4.14/4.33 tff(19695,plain,((s(z) = s(s(s(elem!1)))) | r(s(s(s(elem!1))), s(z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | r(s(z), s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(19696,plain,
% 4.14/4.33 (r(s(s(s(elem!1))), s(z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | r(s(z), s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19695, 1263])).
% 4.14/4.33 tff(19697,plain,
% 4.14/4.33 (~b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19696, 19680, 2208, 7528, 19679])).
% 4.14/4.33 tff(19698,plain,
% 4.14/4.33 (r(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[2239, 19697])).
% 4.14/4.33 tff(19699,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[7481, 82, 19698, 721, 1653])).
% 4.14/4.33 tff(19700,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(19701,plain,
% 4.14/4.33 (~r(s(z), s(s(elem!1)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19700, 1653, 19674, 19678, 1294])).
% 4.14/4.33 tff(19702,plain,
% 4.14/4.33 (b(s(z), s(s(elem!1)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[743, 19701])).
% 4.14/4.33 tff(19703,plain,
% 4.14/4.33 (~r(s(s(s(s(elem!1)))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1662, 165, 1653])).
% 4.14/4.33 tff(19704,plain,
% 4.14/4.33 (b(s(s(s(s(elem!1)))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1638, 19703])).
% 4.14/4.33 tff(19705,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19706,plain,
% 4.14/4.33 (((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(19707,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[19706])).
% 4.14/4.33 tff(19708,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.33 inference(transitivity,[status(thm)],[19707, 19705])).
% 4.14/4.33 tff(19709,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(elem!1))))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(19710,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[19709, 19708])).
% 4.14/4.33 tff(19711,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19710, 338, 1595, 7485, 2208, 19704, 7528])).
% 4.14/4.33 tff(19712,plain,((~r(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(19713,plain,
% 4.14/4.33 (~b(z, s(s(s(elem!1))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19712, 165, 2208, 7528, 1653])).
% 4.14/4.33 tff(19714,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1373, 19713, 2019])).
% 4.14/4.33 tff(19715,plain,((~r(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(19716,plain,
% 4.14/4.33 (~r(z, s(s(elem!1)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[19715, 19674, 19678, 1653, 1294])).
% 4.14/4.33 tff(19717,plain,
% 4.14/4.33 (b(z, s(s(elem!1)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[161, 19716])).
% 4.14/4.33 tff(19718,plain,
% 4.14/4.33 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[4436, 1950, 1294])).
% 4.14/4.33 tff(19719,plain,
% 4.14/4.33 (~r(s(s(elem!1)), elem!1)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[6487, 1950, 2257])).
% 4.14/4.33 tff(19720,plain,
% 4.14/4.33 (~r(z, elem!1)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[8272, 691, 747, 8574, 8573, 1731])).
% 4.14/4.33 tff(19721,plain,
% 4.14/4.33 (b(z, elem!1)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[353, 19720, 714])).
% 4.14/4.33 tff(19722,plain,
% 4.14/4.33 (~b(elem!1, z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[18293, 19721, 137, 8722, 317, 323])).
% 4.14/4.33 tff(19723,plain,
% 4.14/4.33 (r(elem!1, z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[846, 19722, 1619])).
% 4.14/4.33 tff(19724,plain,
% 4.14/4.33 (~r(elem!1, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[809, 82, 19723, 405])).
% 4.14/4.33 tff(19725,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(19726,plain,
% 4.14/4.34 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(19727,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1))))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19726])).
% 4.14/4.34 tff(19728,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[19727, 19725])).
% 4.14/4.34 tff(19729,plain,
% 4.14/4.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(19730,plain,
% 4.14/4.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19729, 19728])).
% 4.14/4.34 tff(19731,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19730, 338, 1021, 763, 762, 8722, 747, 831])).
% 4.14/4.34 tff(19732,plain,((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19733,plain,
% 4.14/4.34 (~b(elem!1, s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19732, 19721, 8573, 8722, 747, 8574])).
% 4.14/4.34 tff(19734,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[817, 21, 19733, 697, 19724])).
% 4.14/4.34 tff(19735,plain,((s(z) = elem!1) | (~r(s(z), z)) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | r(elem!1, s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~b(s(z), s(s(elem!1)))) | (z = elem!1) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19736,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19735, 19719, 19718, 137, 405, 8722, 691, 747, 714, 1731])).
% 4.14/4.34 tff(19737,plain,((~r(elem!1, s(s(s(elem!1))))) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (s(z) = elem!1) | (~b(s(z), s(s(elem!1)))) | (z = elem!1) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19738,plain,
% 4.14/4.34 (~r(elem!1, s(s(s(elem!1))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19737, 691, 405, 8722, 137, 747, 714, 1731, 2257, 1294])).
% 4.14/4.34 tff(19739,plain,
% 4.14/4.34 (elem!1 = s(s(s(elem!1)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1946, 19738, 1940])).
% 4.14/4.34 tff(19740,plain,
% 4.14/4.34 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(elem!1))), s(s(s(elem!1))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19739])).
% 4.14/4.34 tff(19741,plain,
% 4.14/4.34 (b(s(s(s(elem!1))), s(s(s(elem!1)))) <=> b(s(s(s(elem!1))), elem!1)),
% 4.14/4.34 inference(symmetry,[status(thm)],[19740])).
% 4.14/4.34 tff(19742,plain,
% 4.14/4.34 ((~b(s(s(s(elem!1))), s(s(s(elem!1))))) <=> (~b(s(s(s(elem!1))), elem!1))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19741])).
% 4.14/4.34 tff(19743,plain,
% 4.14/4.34 (~b(s(s(s(elem!1))), elem!1)),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[10321, 19742])).
% 4.14/4.34 tff(19744,plain,
% 4.14/4.34 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1408, 1269, 1294])).
% 4.14/4.34 tff(19745,plain,
% 4.14/4.34 (~r(s(s(elem!1)), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1299, 1269, 1294])).
% 4.14/4.34 tff(19746,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19735, 19745, 19744, 137, 405, 8722, 691, 747, 714, 1731])).
% 4.14/4.34 tff(19747,plain,((~r(s(s(s(elem!1))), elem!1)) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (s(z) = elem!1) | (~b(s(z), s(s(elem!1)))) | (z = elem!1) | (~r(z, s(z))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19748,plain,
% 4.14/4.34 (~r(s(s(s(elem!1))), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19747, 691, 405, 8722, 137, 747, 714, 1731, 1294])).
% 4.14/4.34 tff(19749,plain,
% 4.14/4.34 (s(s(s(elem!1))) = elem!1),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[2162, 7053, 2582])).
% 4.14/4.34 tff(19750,plain,
% 4.14/4.34 (~r(s(z), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[3145, 3124, 1731])).
% 4.14/4.34 tff(19751,plain,
% 4.14/4.34 (b(s(z), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[701, 19750, 691])).
% 4.14/4.34 tff(19752,plain,
% 4.14/4.34 (~r(elem!1, s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[8266, 3124, 1731])).
% 4.14/4.34 tff(19753,plain,
% 4.14/4.34 (b(elem!1, s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[819, 19752, 697])).
% 4.14/4.34 tff(19754,plain,
% 4.14/4.34 (s(s(s(elem!1))) = elem!1),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[2162, 6360, 7053])).
% 4.14/4.34 tff(19755,plain,
% 4.14/4.34 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19754])).
% 4.14/4.34 tff(19756,plain,
% 4.14/4.34 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 4.14/4.34 inference(transitivity,[status(thm)],[19755, 1051])).
% 4.14/4.34 tff(19757,plain,
% 4.14/4.34 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19756])).
% 4.14/4.34 tff(19758,plain,
% 4.14/4.34 (~(s(s(s(z))) = elem!1)),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[4658, 19757])).
% 4.14/4.34 tff(19759,plain,
% 4.14/4.34 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[8241, 19758])).
% 4.14/4.34 tff(19760,plain,
% 4.14/4.34 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(elem!1), elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19754])).
% 4.14/4.34 tff(19761,plain,
% 4.14/4.34 (~b(z, s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[17135, 1502, 1353, 229, 2257, 8722])).
% 4.14/4.34 tff(19762,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1615, 19761, 10110])).
% 4.14/4.34 tff(19763,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (s(s(elem!1)) = s(elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19764,plain,
% 4.14/4.34 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19763, 1353, 2257, 7154, 8722])).
% 4.14/4.34 tff(19765,plain,
% 4.14/4.34 (b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1515, 19764, 215])).
% 4.14/4.34 tff(19766,plain,
% 4.14/4.34 (b(s(elem!1), elem!1)),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19765, 19760])).
% 4.14/4.34 tff(19767,plain,
% 4.14/4.34 (s(s(s(s(elem!1)))) = s(elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19754])).
% 4.14/4.34 tff(19768,plain,
% 4.14/4.34 (b(elem!1, s(s(s(s(elem!1))))) <=> b(elem!1, s(elem!1))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19767])).
% 4.14/4.34 tff(19769,plain,
% 4.14/4.34 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19754])).
% 4.14/4.34 tff(19770,plain,
% 4.14/4.34 (b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[7528, 19769])).
% 4.14/4.34 tff(19771,plain,
% 4.14/4.34 (b(elem!1, s(elem!1))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19770, 19768])).
% 4.14/4.34 tff(19772,plain,
% 4.14/4.34 (~b(s(elem!1), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[13089, 19771, 831, 19766, 706])).
% 4.14/4.34 tff(19773,plain,
% 4.14/4.34 (r(s(elem!1), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[2070, 19772, 1917])).
% 4.14/4.34 tff(19774,plain,
% 4.14/4.34 (~r(s(s(s(s(z)))), s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[4906, 82, 108, 19773])).
% 4.14/4.34 tff(19775,plain,
% 4.14/4.34 ((s(s(s(s(z)))) = s(elem!1)) | b(s(s(s(s(z)))), s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[4912, 21, 19774])).
% 4.14/4.34 tff(19776,plain,
% 4.14/4.34 (b(s(s(s(s(z)))), s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19775, 19759])).
% 4.14/4.34 tff(19777,plain,
% 4.14/4.34 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[4739, 19772, 19754])).
% 4.14/4.34 tff(19778,plain,
% 4.14/4.34 (r(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1585, 19777])).
% 4.14/4.34 tff(19779,plain,
% 4.14/4.34 (~r(s(elem!1), z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[4754, 19778, 1731, 19754])).
% 4.14/4.34 tff(19780,plain,
% 4.14/4.34 (b(s(elem!1), z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1812, 19779])).
% 4.14/4.34 tff(19781,plain,
% 4.14/4.34 (~r(s(z), s(s(s(elem!1))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[5440, 1353, 405])).
% 4.14/4.34 tff(19782,plain,
% 4.14/4.34 (r(s(s(s(elem!1))), s(z)) <=> r(elem!1, s(z))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19754])).
% 4.14/4.34 tff(19783,plain,
% 4.14/4.34 (r(elem!1, s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 4.14/4.34 inference(symmetry,[status(thm)],[19782])).
% 4.14/4.34 tff(19784,plain,
% 4.14/4.34 ((~r(elem!1, s(z))) <=> (~r(s(s(s(elem!1))), s(z)))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19783])).
% 4.14/4.34 tff(19785,plain,
% 4.14/4.34 (~r(s(s(s(elem!1))), s(z))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[8267, 19784])).
% 4.14/4.34 tff(19786,plain,
% 4.14/4.34 (r(s(z), s(elem!1)) <=> r(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[4742])).
% 4.14/4.34 tff(19787,plain,
% 4.14/4.34 (r(s(z), s(s(s(s(elem!1))))) <=> r(s(z), s(elem!1))),
% 4.14/4.34 inference(symmetry,[status(thm)],[19786])).
% 4.14/4.34 tff(19788,assumption,(~(s(z) = s(s(s(s(elem!1)))))), introduced(assumption)).
% 4.14/4.34 tff(19789,plain,
% 4.14/4.34 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[2143])).
% 4.14/4.34 tff(19790,plain,
% 4.14/4.34 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.34 inference(symmetry,[status(thm)],[19789])).
% 4.14/4.34 tff(19791,plain,
% 4.14/4.34 (b(s(elem!1), elem!1) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[4830, 19790])).
% 4.14/4.34 tff(19792,plain,
% 4.14/4.34 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[18679, 19791])).
% 4.14/4.34 tff(19793,plain,
% 4.14/4.34 (~b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19696, 19792, 1865, 7528, 1851])).
% 4.14/4.34 tff(19794,plain,
% 4.14/4.34 (r(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[2238, 19793, 19788])).
% 4.14/4.34 tff(19795,plain,
% 4.14/4.34 (r(s(z), s(elem!1))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19794, 19787])).
% 4.14/4.34 tff(19796,plain,
% 4.14/4.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(19797,plain,
% 4.14/4.34 (((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), z))) <=> ((~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(19798,plain,
% 4.14/4.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19797])).
% 4.14/4.34 tff(19799,plain,
% 4.14/4.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[19798, 19796])).
% 4.14/4.34 tff(19800,plain,
% 4.14/4.34 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), z)))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(19801,plain,
% 4.14/4.34 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19800, 19799])).
% 4.14/4.34 tff(19802,plain,
% 4.14/4.34 (~r(s(z), s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19801, 82, 233, 405])).
% 4.14/4.34 tff(19803,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19802, 19795])).
% 4.14/4.34 tff(19804,plain,((~r(z, s(elem!1))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(z), z)) | (s(z) = s(s(s(s(elem!1))))) | r(s(z), s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | r(s(s(s(elem!1))), s(z)) | (s(elem!1) = elem!1) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19805,plain,
% 4.14/4.34 ((~r(z, s(elem!1))) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(z), z)) | r(s(z), s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | r(s(s(s(elem!1))), s(z)) | (s(elem!1) = elem!1) | (~r(z, elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19804, 2125])).
% 4.14/4.34 tff(19806,plain,
% 4.14/4.34 (~r(z, s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19805, 19785, 405, 7528, 19781, 19754, 306, 234])).
% 4.14/4.34 tff(19807,plain,
% 4.14/4.34 (b(z, s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1615, 19806])).
% 4.14/4.34 tff(19808,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(19809,plain,
% 4.14/4.34 (((~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(19810,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19809])).
% 4.14/4.34 tff(19811,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[19810, 19808])).
% 4.14/4.34 tff(19812,plain,
% 4.14/4.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(19813,plain,
% 4.14/4.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 4.14/4.34 tff(19814,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19813, 338, 19807, 19780, 175, 2360, 19776])).
% 4.14/4.34 tff(19815,plain,((~r(z, s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (s(elem!1) = s(z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~r(s(z), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | b(s(s(s(elem!1))), elem!1) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19816,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19815, 19753, 3361, 108, 1731, 3114, 7053, 19751, 405, 7528, 306, 3124, 175, 215, 2257, 8722])).
% 4.14/4.34 tff(19817,plain,(b(z, elem!1) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | b(s(s(s(elem!1))), elem!1) | (~r(s(z), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (s(elem!1) = elem!1) | (~b(s(s(s(s(z)))), z)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (s(z) = elem!1) | (~(s(s(s(elem!1))) = elem!1)) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19818,plain,
% 4.14/4.34 (b(z, elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19817, 7053, 1731, 108, 405, 7528, 306, 175, 215, 2257, 8722, 691, 19749, 714])).
% 4.14/4.34 tff(19819,plain,
% 4.14/4.34 (~r(s(z), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[16170, 19818, 175, 2360, 405, 19749, 108])).
% 4.14/4.34 tff(19820,plain,
% 4.14/4.34 (b(s(z), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[701, 19819, 691])).
% 4.14/4.34 tff(19821,plain,
% 4.14/4.34 (s(s(s(s(elem!1)))) = s(elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19749])).
% 4.14/4.34 tff(19822,plain,
% 4.14/4.34 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(elem!1), elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19821])).
% 4.14/4.34 tff(19823,plain,
% 4.14/4.34 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19749])).
% 4.14/4.34 tff(19824,plain,
% 4.14/4.34 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[2208, 19823])).
% 4.14/4.34 tff(19825,plain,
% 4.14/4.34 (b(s(elem!1), elem!1)),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19824, 19822])).
% 4.14/4.34 tff(19826,plain,
% 4.14/4.34 (b(elem!1, s(s(s(s(elem!1))))) <=> b(elem!1, s(elem!1))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19821])).
% 4.14/4.34 tff(19827,plain,
% 4.14/4.34 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19749])).
% 4.14/4.34 tff(19828,plain,
% 4.14/4.34 (b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[7528, 19827])).
% 4.14/4.34 tff(19829,plain,
% 4.14/4.34 (b(elem!1, s(elem!1))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19828, 19826])).
% 4.14/4.34 tff(19830,plain,
% 4.14/4.34 (r(elem!1, s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[819, 814, 720])).
% 4.14/4.34 tff(19831,plain,
% 4.14/4.34 (~r(s(s(s(s(z)))), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1178, 19830, 108])).
% 4.14/4.34 tff(19832,plain,
% 4.14/4.34 (b(s(s(s(s(z)))), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1144, 19831, 3188])).
% 4.14/4.34 tff(19833,plain,
% 4.14/4.34 (b(elem!1, s(z)) <=> b(s(s(s(elem!1))), s(z))),
% 4.14/4.34 inference(symmetry,[status(thm)],[5430])).
% 4.14/4.34 tff(19834,plain,
% 4.14/4.34 ((~b(elem!1, s(z))) <=> (~b(s(s(s(elem!1))), s(z)))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19833])).
% 4.14/4.34 tff(19835,plain,
% 4.14/4.34 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[814, 19834])).
% 4.14/4.34 tff(19836,plain,
% 4.14/4.34 (r(s(s(s(elem!1))), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1990, 19835])).
% 4.14/4.34 tff(19837,plain,
% 4.14/4.34 (~r(s(s(s(elem!1))), z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[2599, 19836, 405])).
% 4.14/4.34 tff(19838,plain,
% 4.14/4.34 (b(s(s(s(elem!1))), z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1387, 19837])).
% 4.14/4.34 tff(19839,plain,
% 4.14/4.34 (b(elem!1, z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[3979, 19838, 3380])).
% 4.14/4.34 tff(19840,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1137, 338, 1021, 19839, 19832, 175, 555])).
% 4.14/4.34 tff(19841,plain,(b(elem!1, s(z)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~(s(s(s(elem!1))) = elem!1)) | (~r(s(s(s(s(z)))), s(z))) | (elem!1 = s(z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19842,plain,
% 4.14/4.34 (b(elem!1, s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19841, 19818, 175, 2360, 405, 19749, 108, 697])).
% 4.14/4.34 tff(19843,plain,
% 4.14/4.34 (~b(s(elem!1), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[13089, 19842, 19829, 19825, 19820])).
% 4.14/4.34 tff(19844,plain,
% 4.14/4.34 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[4739, 19843, 19749])).
% 4.14/4.34 tff(19845,plain,
% 4.14/4.34 (r(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1585, 19844])).
% 4.14/4.34 tff(19846,plain,
% 4.14/4.34 (~r(s(elem!1), z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[4754, 19845, 1731, 19749])).
% 4.14/4.34 tff(19847,plain,
% 4.14/4.34 (b(s(elem!1), z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1812, 19846])).
% 4.14/4.34 tff(19848,plain,
% 4.14/4.34 (r(s(elem!1), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[2070, 19843, 3114])).
% 4.14/4.34 tff(19849,plain,
% 4.14/4.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(elem!1), s(z))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(19850,plain,
% 4.14/4.34 (((~r(s(elem!1), s(z))) | (~r(z, s(z))) | (~r(z, s(elem!1)))) <=> ((~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(elem!1), s(z))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(19851,plain,
% 4.14/4.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(z, s(z))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(elem!1), s(z)))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19850])).
% 4.14/4.34 tff(19852,plain,
% 4.14/4.34 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(z, s(z))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(elem!1), s(z))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[19851, 19849])).
% 4.14/4.34 tff(19853,plain,
% 4.14/4.34 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(z, s(z))) | (~r(z, s(elem!1))))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(19854,plain,
% 4.14/4.34 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(elem!1), s(z)))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19853, 19852])).
% 4.14/4.34 tff(19855,plain,
% 4.14/4.34 (~r(z, s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19854, 82, 1731, 19848])).
% 4.14/4.34 tff(19856,plain,
% 4.14/4.34 (b(z, s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1615, 19855])).
% 4.14/4.34 tff(19857,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[12860, 338, 19818, 19856, 19829, 19825, 19847])).
% 4.14/4.34 tff(19858,plain,(b(s(s(s(elem!1))), elem!1) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (s(z) = elem!1) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (s(elem!1) = elem!1) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (z = elem!1) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19859,plain,
% 4.14/4.34 (b(s(s(s(elem!1))), elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19858, 691, 175, 405, 108, 1731, 7528, 294, 210, 2257, 8722, 714, 2208, 19748])).
% 4.14/4.34 tff(19860,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19859, 19743])).
% 4.14/4.34 tff(19861,plain,((s(z) = elem!1) | b(elem!1, s(s(s(elem!1)))) | (~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (z = elem!1) | (~r(z, s(z))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(19862,plain,
% 4.14/4.34 (s(z) = elem!1),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[19861, 1940, 405, 19717, 137, 19702, 714, 1731, 2257, 1294, 175, 108, 19678, 19674])).
% 4.14/4.34 tff(19863,plain,
% 4.14/4.34 (b(s(z), s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19862])).
% 4.14/4.34 tff(19864,plain,
% 4.14/4.34 (b(elem!1, s(s(s(elem!1)))) <=> b(s(z), s(s(s(elem!1))))),
% 4.14/4.34 inference(symmetry,[status(thm)],[19863])).
% 4.14/4.34 tff(19865,plain,
% 4.14/4.34 ((~b(elem!1, s(s(s(elem!1))))) <=> (~b(s(z), s(s(s(elem!1)))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19864])).
% 4.14/4.34 tff(19866,plain,
% 4.14/4.34 (~b(s(z), s(s(s(elem!1))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[1940, 19865])).
% 4.14/4.34 tff(19867,plain,
% 4.14/4.34 (r(s(z), s(s(s(elem!1))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1870, 19866])).
% 4.14/4.34 tff(19868,plain,
% 4.14/4.34 (b(s(z), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19862])).
% 4.14/4.34 tff(19869,plain,
% 4.14/4.34 (b(elem!1, s(elem!1)) <=> b(s(z), s(elem!1))),
% 4.14/4.34 inference(symmetry,[status(thm)],[19868])).
% 4.14/4.34 tff(19870,plain,
% 4.14/4.34 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19862])).
% 4.14/4.34 tff(19871,plain,
% 4.14/4.34 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.14/4.34 inference(transitivity,[status(thm)],[19870, 1254])).
% 4.14/4.34 tff(19872,plain,
% 4.14/4.34 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[19871, 3376])).
% 4.14/4.34 tff(19873,plain,
% 4.14/4.34 ((~(s(z) = s(s(s(elem!1))))) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19872])).
% 4.14/4.34 tff(19874,plain,
% 4.14/4.34 (~(elem!1 = s(s(s(elem!1))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[1263, 19873])).
% 4.14/4.34 tff(19875,plain,
% 4.14/4.34 (r(elem!1, s(s(s(elem!1))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1946, 19874, 1940])).
% 4.14/4.34 tff(19876,plain,
% 4.14/4.34 (r(z, elem!1)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1733, 19862, 1731])).
% 4.14/4.34 tff(19877,plain,
% 4.14/4.34 (r(elem!1, z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[867, 19862, 405])).
% 4.14/4.34 tff(19878,plain,
% 4.14/4.34 (s(s(z)) = s(elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19862])).
% 4.14/4.34 tff(19879,plain,
% 4.14/4.34 (s(s(s(z))) = s(s(elem!1))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19878])).
% 4.14/4.34 tff(19880,plain,
% 4.14/4.34 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19879])).
% 4.14/4.34 tff(19881,plain,
% 4.14/4.34 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19880])).
% 4.14/4.34 tff(19882,plain,
% 4.14/4.34 (b(s(s(s(elem!1))), z)),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[175, 19881])).
% 4.14/4.34 tff(19883,plain,
% 4.14/4.34 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1412, 19862])).
% 4.14/4.34 tff(19884,plain,
% 4.14/4.34 (b(z, s(s(s(elem!1))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[2141, 19883, 2360])).
% 4.14/4.34 tff(19885,plain,
% 4.14/4.34 (~r(elem!1, s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[11657, 19884, 210, 19882, 19877, 19876, 19875])).
% 4.14/4.34 tff(19886,plain,
% 4.14/4.34 (b(elem!1, s(elem!1))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[252, 19885, 232])).
% 4.14/4.34 tff(19887,plain,
% 4.14/4.34 (b(s(z), s(elem!1))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[19886, 19869])).
% 4.14/4.34 tff(19888,plain,
% 4.14/4.34 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19862])).
% 4.14/4.34 tff(19889,plain,
% 4.14/4.34 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(z))),
% 4.14/4.34 inference(symmetry,[status(thm)],[19888])).
% 4.14/4.34 tff(19890,plain,
% 4.14/4.34 (b(s(s(s(z))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[19879])).
% 4.14/4.34 tff(19891,plain,
% 4.14/4.34 (b(s(s(s(z))), elem!1) <=> b(s(s(elem!1)), s(z))),
% 4.14/4.34 inference(transitivity,[status(thm)],[19890, 19889])).
% 4.14/4.34 tff(19892,plain,
% 4.14/4.35 (b(s(s(s(z))), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[11879, 19862, 19446])).
% 4.14/4.35 tff(19893,plain,
% 4.14/4.35 (b(s(s(elem!1)), s(z))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19892, 19891])).
% 4.14/4.35 tff(19894,plain,
% 4.14/4.35 (b(s(s(z)), s(s(s(z)))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[869, 870])).
% 4.14/4.35 tff(19895,plain,
% 4.14/4.35 (~r(s(s(z)), s(s(s(z))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[5400, 1502, 1294, 749])).
% 4.14/4.35 tff(19896,plain,
% 4.14/4.35 (b(s(s(z)), s(s(s(z))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[534, 19895])).
% 4.14/4.35 tff(19897,plain,
% 4.14/4.35 (b(s(elem!1), s(s(elem!1)))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19896, 19894])).
% 4.14/4.35 tff(19898,plain,
% 4.14/4.35 (~r(s(elem!1), s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[3055, 1502, 1854])).
% 4.14/4.35 tff(19899,plain,
% 4.14/4.35 (b(s(elem!1), s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[2070, 19898, 1917])).
% 4.14/4.35 tff(19900,plain,
% 4.14/4.35 (~b(s(elem!1), s(s(elem!1)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[3092, 19899, 747, 764, 3083])).
% 4.14/4.35 tff(19901,plain,
% 4.14/4.35 ($false),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[19900, 19897])).
% 4.14/4.35 tff(19902,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~(s(z) = elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(elem!1))) | (s(elem!1) = s(z)) | (~r(s(z), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.35 tff(19903,plain,
% 4.14/4.35 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[19902, 19862, 19702, 19893, 19887, 3114, 19867, 1294])).
% 4.14/4.35 tff(19904,plain,
% 4.14/4.35 (b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1515, 19903, 210])).
% 4.14/4.35 tff(19905,plain,
% 4.14/4.35 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19871])).
% 4.14/4.35 tff(19906,plain,
% 4.14/4.35 (~(s(s(s(elem!1))) = elem!1)),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[1263, 19905])).
% 4.14/4.35 tff(19907,plain,
% 4.14/4.35 (~r(s(s(elem!1)), z)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[7217, 7031, 2257])).
% 4.14/4.35 tff(19908,plain,
% 4.14/4.35 (b(s(s(elem!1)), z)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[800, 19907])).
% 4.14/4.35 tff(19909,plain,
% 4.14/4.35 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[2141, 2138, 2360])).
% 4.14/4.35 tff(19910,plain,
% 4.14/4.35 (~(s(z) = elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1412, 19909])).
% 4.14/4.35 tff(19911,plain,
% 4.14/4.35 (~r(z, s(s(elem!1)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1361, 1353, 1294])).
% 4.14/4.35 tff(19912,plain,
% 4.14/4.35 (b(z, s(s(elem!1)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[161, 19911])).
% 4.14/4.35 tff(19913,plain,
% 4.14/4.35 (r(elem!1, s(s(elem!1)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[18293, 1021, 137, 8722, 1131, 323])).
% 4.14/4.35 tff(19914,plain,
% 4.14/4.35 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[2840, 82, 19913, 1653])).
% 4.14/4.35 tff(19915,plain,
% 4.14/4.35 (~r(elem!1, s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4436, 19913, 1294])).
% 4.14/4.35 tff(19916,plain,
% 4.14/4.35 (b(elem!1, s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1946, 19915, 1925])).
% 4.14/4.35 tff(19917,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(19918,plain,
% 4.14/4.35 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(19919,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19918])).
% 4.14/4.35 tff(19920,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)))),
% 4.14/4.35 inference(transitivity,[status(thm)],[19919, 19917])).
% 4.14/4.35 tff(19921,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(19922,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19921, 19920])).
% 4.14/4.35 tff(19923,plain,
% 4.14/4.35 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[19922, 338, 1021, 8573, 19916, 19674, 878])).
% 4.14/4.35 tff(19924,plain,
% 4.14/4.35 (elem!1 = s(s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[2297, 19923, 19914])).
% 4.14/4.35 tff(19925,plain,
% 4.14/4.35 (s(elem!1) = s(s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19924])).
% 4.14/4.35 tff(19926,plain,
% 4.14/4.35 (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19925])).
% 4.14/4.35 tff(19927,plain,
% 4.14/4.35 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19926])).
% 4.14/4.35 tff(19928,plain,
% 4.14/4.35 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19924])).
% 4.14/4.35 tff(19929,plain,
% 4.14/4.35 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[8573, 19928])).
% 4.14/4.35 tff(19930,plain,
% 4.14/4.35 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19929, 19927])).
% 4.14/4.35 tff(19931,plain,
% 4.14/4.35 ((s(z) = s(s(elem!1))) <=> (s(z) = s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19926])).
% 4.14/4.35 tff(19932,plain,
% 4.14/4.35 ((s(z) = s(s(elem!1))) <=> (s(s(s(s(s(s(elem!1)))))) = s(z))),
% 4.14/4.35 inference(transitivity,[status(thm)],[19931, 6115])).
% 4.14/4.35 tff(19933,plain,
% 4.14/4.35 ((~(s(z) = s(s(elem!1)))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(z)))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19932])).
% 4.14/4.35 tff(19934,plain,
% 4.14/4.35 (~(s(s(s(s(s(s(elem!1)))))) = s(z))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[738, 19933])).
% 4.14/4.35 tff(19935,plain,
% 4.14/4.35 (r(s(s(elem!1)), s(z)) <=> r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19926])).
% 4.14/4.35 tff(19936,plain,
% 4.14/4.35 ((~r(s(s(elem!1)), s(z))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19935])).
% 4.14/4.35 tff(19937,plain,
% 4.14/4.35 (~r(s(s(s(elem!1))), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1408, 19913, 1294])).
% 4.14/4.35 tff(19938,plain,
% 4.14/4.35 (b(s(s(s(elem!1))), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[2162, 19937, 1271])).
% 4.14/4.35 tff(19939,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(19940,plain,
% 4.14/4.35 (((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(19941,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19940])).
% 4.14/4.35 tff(19942,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.14/4.35 inference(transitivity,[status(thm)],[19941, 19939])).
% 4.14/4.35 tff(19943,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(19944,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19943, 19942])).
% 4.14/4.35 tff(19945,plain,
% 4.14/4.35 (~b(s(s(s(s(z)))), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[19944, 338, 1021, 1131, 8573, 8722, 175])).
% 4.14/4.35 tff(19946,plain,
% 4.14/4.35 (elem!1 = s(s(s(s(z))))),
% 4.14/4.35 inference(symmetry,[status(thm)],[1013])).
% 4.14/4.35 tff(19947,plain,
% 4.14/4.35 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[10895, 19946])).
% 4.14/4.35 tff(19948,plain,
% 4.14/4.35 (inj_0(s(s(s(s(elem!1))))) = inj_0(s(s(s(s(z)))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19947])).
% 4.14/4.35 tff(19949,plain,
% 4.14/4.35 (s(s(s(elem!1))) = s(s(s(z)))),
% 4.14/4.35 inference(transitivity,[status(thm)],[1325, 19948, 44])).
% 4.14/4.35 tff(19950,plain,
% 4.14/4.35 ($false),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[3301, 19949])).
% 4.14/4.35 tff(19951,plain,((~(elem!1 = s(s(s(s(elem!1)))))) | (s(s(s(elem!1))) = s(s(s(z)))) | (~(s(s(s(s(z)))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.35 tff(19952,plain,
% 4.14/4.35 (~(s(s(s(s(z)))) = elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[19951, 19924, 3301])).
% 4.14/4.35 tff(19953,plain,
% 4.14/4.35 (r(s(s(s(s(z)))), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1144, 19952, 19945])).
% 4.14/4.35 tff(19954,plain,
% 4.14/4.35 (~r(s(z), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[3417, 19953, 108])).
% 4.14/4.35 tff(19955,plain,
% 4.14/4.35 (b(s(z), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[701, 19954, 691])).
% 4.14/4.35 tff(19956,plain,
% 4.14/4.35 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[17059, 19955, 19938, 19916, 1880])).
% 4.14/4.35 tff(19957,plain,
% 4.14/4.35 (r(s(s(s(elem!1))), s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1990, 19956])).
% 4.14/4.35 tff(19958,plain,
% 4.14/4.35 (~r(s(s(elem!1)), s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[3038, 19957, 1294])).
% 4.14/4.35 tff(19959,plain,
% 4.14/4.35 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19958, 19936])).
% 4.14/4.35 tff(19960,plain,
% 4.14/4.35 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[6104, 19959, 19934])).
% 4.14/4.35 tff(19961,plain,
% 4.14/4.35 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19926])).
% 4.14/4.35 tff(19962,plain,
% 4.14/4.35 (b(s(z), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19702, 19961])).
% 4.14/4.35 tff(19963,plain,
% 4.14/4.35 (r(elem!1, s(z)) <=> r(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19924])).
% 4.14/4.35 tff(19964,plain,
% 4.14/4.35 ((~r(elem!1, s(z))) <=> (~r(s(s(s(s(elem!1)))), s(z)))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19963])).
% 4.14/4.35 tff(19965,plain,
% 4.14/4.35 (~r(elem!1, s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1178, 19953, 108])).
% 4.14/4.35 tff(19966,plain,
% 4.14/4.35 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19965, 19964])).
% 4.14/4.35 tff(19967,plain,
% 4.14/4.35 (b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1585, 19966])).
% 4.14/4.35 tff(19968,plain,
% 4.14/4.35 (b(s(z), elem!1) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19924])).
% 4.14/4.35 tff(19969,plain,
% 4.14/4.35 (b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19955, 19968])).
% 4.14/4.35 tff(19970,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(19971,plain,
% 4.14/4.35 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))) <=> ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(19972,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z)))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19971])).
% 4.14/4.35 tff(19973,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[19972, 19970])).
% 4.14/4.35 tff(19974,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(19975,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(z))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19974, 19973])).
% 4.14/4.35 tff(19976,plain,
% 4.14/4.35 ($false),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[19975, 338, 19969, 19967, 19962, 19960, 19930])).
% 4.14/4.35 tff(19977,plain,((~b(z, elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (s(z) = elem!1) | (~r(s(s(s(s(z)))), s(z))) | (s(s(s(elem!1))) = s(s(s(z)))) | (~b(s(s(elem!1)), z)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(elem!1))) = elem!1) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.14/4.35 tff(19978,plain,
% 4.14/4.35 (~b(z, elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[19977, 1131, 1880, 691, 108, 3122, 878, 1653, 1294, 19912, 175, 1271, 137, 323])).
% 4.14/4.35 tff(19979,plain,
% 4.14/4.35 (r(z, elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[353, 19978, 714])).
% 4.14/4.35 tff(19980,plain,
% 4.14/4.35 (~r(s(z), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[3145, 19979, 1731])).
% 4.14/4.35 tff(19981,plain,
% 4.14/4.35 (b(s(z), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[701, 19980, 691])).
% 4.14/4.35 tff(19982,plain,
% 4.14/4.35 (~r(s(s(s(elem!1))), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[6359, 19979, 1353])).
% 4.14/4.35 tff(19983,plain,
% 4.14/4.35 (b(s(s(s(elem!1))), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[2162, 19982, 1271])).
% 4.14/4.35 tff(19984,plain,
% 4.14/4.35 (~r(elem!1, s(elem!1))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[243, 19979, 233])).
% 4.14/4.35 tff(19985,plain,
% 4.14/4.35 (b(elem!1, s(elem!1))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[252, 19984, 232])).
% 4.14/4.35 tff(19986,plain,
% 4.14/4.35 (b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1515, 18676, 210])).
% 4.14/4.35 tff(19987,plain,
% 4.14/4.35 (~r(s(elem!1), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[303, 19979, 233])).
% 4.14/4.35 tff(19988,plain,
% 4.14/4.35 (b(s(elem!1), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[312, 19987, 294])).
% 4.14/4.35 tff(19989,plain,
% 4.14/4.35 (~b(elem!1, s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[13508, 19988, 19986, 19985, 19983])).
% 4.14/4.35 tff(19990,plain,
% 4.14/4.35 (r(elem!1, s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1946, 19989, 1925])).
% 4.14/4.35 tff(19991,plain,
% 4.14/4.35 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4436, 19990, 1294])).
% 4.14/4.35 tff(19992,plain,
% 4.14/4.35 (b(elem!1, s(s(elem!1)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[321, 19991, 137])).
% 4.14/4.35 tff(19993,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(19994,plain,
% 4.14/4.35 (((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(19995,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[19994])).
% 4.14/4.35 tff(19996,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[19995, 19993])).
% 4.14/4.35 tff(19997,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(19998,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[19997, 19996])).
% 4.14/4.35 tff(19999,plain,
% 4.14/4.35 ($false),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[19998, 338, 1131, 8573, 19992, 19912, 19981, 19702])).
% 4.14/4.35 tff(20000,plain,((~b(elem!1, z)) | (elem!1 = s(s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | (s(z) = elem!1) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (z = elem!1) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), z)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | r(s(s(elem!1)), elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.14/4.35 tff(20001,plain,
% 4.14/4.35 (~b(elem!1, z)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[20000, 19910, 1294, 1271, 137, 7031, 233, 1731, 714, 17082, 108, 19908, 1653, 175, 323])).
% 4.14/4.35 tff(20002,plain,
% 4.14/4.35 (r(elem!1, z)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[846, 20001, 1619])).
% 4.14/4.35 tff(20003,plain,
% 4.14/4.35 (~r(elem!1, s(elem!1))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1673, 20002, 233])).
% 4.14/4.35 tff(20004,plain,
% 4.14/4.35 (b(elem!1, s(elem!1))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[252, 20003, 232])).
% 4.14/4.35 tff(20005,plain,
% 4.14/4.35 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[7166, 7031, 233])).
% 4.14/4.35 tff(20006,plain,
% 4.14/4.35 (b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1515, 20005, 210])).
% 4.14/4.35 tff(20007,plain,
% 4.14/4.35 (~r(elem!1, s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[6371, 20002, 7031])).
% 4.14/4.35 tff(20008,plain,
% 4.14/4.35 (b(elem!1, s(s(s(elem!1))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1946, 20007, 1925])).
% 4.14/4.35 tff(20009,plain,
% 4.14/4.35 (~r(elem!1, s(z))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[809, 82, 20002, 405])).
% 4.14/4.35 tff(20010,plain,
% 4.14/4.35 (~r(s(z), elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[826, 82, 20002, 405])).
% 4.14/4.35 tff(20011,plain,
% 4.14/4.35 (~r(z, elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[17339, 20010, 1271, 2138, 1294, 137, 20002, 1619, 20009, 405, 2360])).
% 4.14/4.35 tff(20012,plain,
% 4.14/4.35 (b(z, elem!1)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[353, 20011, 714])).
% 4.14/4.35 tff(20013,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(20014,plain,
% 4.14/4.35 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(20015,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1)))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[20014])).
% 4.14/4.35 tff(20016,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[20015, 20013])).
% 4.14/4.35 tff(20017,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(20018,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1)))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20017, 20016])).
% 4.14/4.36 tff(20019,plain,
% 4.14/4.36 ($false),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20018, 338, 20012, 8573, 20008, 20006, 20004, 19908])).
% 4.14/4.36 tff(20020,plain,(b(z, s(s(s(elem!1)))) | (z = elem!1) | (s(s(s(elem!1))) = elem!1) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | r(s(s(elem!1)), elem!1) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(20021,plain,
% 4.14/4.36 (b(z, s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20020, 323, 1271, 1294, 137, 405, 233, 1731, 108, 1653, 175, 714, 2257])).
% 4.14/4.36 tff(20022,plain,
% 4.14/4.36 (~r(z, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[19712, 1595, 19674, 19678, 1653])).
% 4.14/4.36 tff(20023,plain,
% 4.14/4.36 (b(z, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[161, 20022])).
% 4.14/4.36 tff(20024,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20025,plain,
% 4.14/4.36 (((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20026,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20025])).
% 4.14/4.36 tff(20027,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20026, 20024])).
% 4.14/4.36 tff(20028,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))),
% 4.14/4.36 inference(quant_inst,[status(thm)],[])).
% 4.14/4.36 tff(20029,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20028, 20027])).
% 4.14/4.36 tff(20030,plain,
% 4.14/4.36 (~b(elem!1, z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20029, 338, 1021, 763, 1595, 1929, 8722])).
% 4.14/4.36 tff(20031,plain,
% 4.14/4.36 (r(elem!1, z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[846, 20030, 719])).
% 4.14/4.36 tff(20032,plain,
% 4.14/4.36 (~r(elem!1, s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[809, 82, 20031, 405])).
% 4.14/4.36 tff(20033,plain,
% 4.14/4.36 (b(elem!1, s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[817, 21, 697, 20032])).
% 4.14/4.36 tff(20034,plain,
% 4.14/4.36 (~b(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[19732, 1021, 763, 8722, 747, 20033])).
% 4.14/4.36 tff(20035,plain,
% 4.14/4.36 (r(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[321, 20034, 137])).
% 4.14/4.36 tff(20036,plain,
% 4.14/4.36 (~r(s(s(s(elem!1))), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1408, 20035, 1294])).
% 4.14/4.36 tff(20037,plain,
% 4.14/4.36 (b(s(s(s(elem!1))), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[2162, 20036, 1271])).
% 4.14/4.36 tff(20038,plain,
% 4.14/4.36 (~b(s(s(s(elem!1))), z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[4641, 338, 1021, 1595, 1929, 20037])).
% 4.14/4.36 tff(20039,plain,
% 4.14/4.36 (r(s(s(s(elem!1))), z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1387, 20038])).
% 4.14/4.36 tff(20040,plain,
% 4.14/4.36 (~r(s(z), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[826, 82, 20031, 405])).
% 4.14/4.36 tff(20041,plain,
% 4.14/4.36 (b(s(z), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[701, 20040, 691])).
% 4.14/4.36 tff(20042,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20043,plain,
% 4.14/4.36 (((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20044,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20043])).
% 4.14/4.36 tff(20045,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20044, 20042])).
% 4.14/4.36 tff(20046,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(s(elem!1))))) | (~b(z, elem!1)))),
% 4.14/4.36 inference(quant_inst,[status(thm)],[])).
% 4.14/4.36 tff(20047,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20046, 20045])).
% 4.14/4.36 tff(20048,plain,
% 4.14/4.36 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20047, 338, 1021, 1595, 1929, 20037, 20041])).
% 4.14/4.36 tff(20049,plain,
% 4.14/4.36 (r(s(s(s(elem!1))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1990, 20048])).
% 4.14/4.36 tff(20050,plain,
% 4.14/4.36 ($false),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[2599, 20049, 20039, 405])).
% 4.14/4.36 tff(20051,plain,((~b(z, elem!1)) | (~r(s(z), z)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (s(s(s(elem!1))) = elem!1) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(20052,plain,
% 4.14/4.36 (~b(z, elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20051, 691, 1595, 1929, 1271, 1294, 137, 763, 20023, 19702, 405, 1619])).
% 4.14/4.36 tff(20053,plain,
% 4.14/4.36 (r(z, elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[353, 20052, 714])).
% 4.14/4.36 tff(20054,plain,
% 4.14/4.36 (~r(s(z), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[3145, 20053, 1731])).
% 4.14/4.36 tff(20055,plain,
% 4.14/4.36 (b(s(z), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[701, 20054, 691])).
% 4.14/4.36 tff(20056,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20057,plain,
% 4.14/4.36 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20058,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20057])).
% 4.14/4.36 tff(20059,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20058, 20056])).
% 4.14/4.36 tff(20060,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.36 inference(quant_inst,[status(thm)],[])).
% 4.14/4.36 tff(20061,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 4.14/4.36 tff(20062,plain,
% 4.14/4.36 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20061, 338, 763, 1929, 19674, 20055, 19702])).
% 4.14/4.36 tff(20063,plain,
% 4.14/4.36 (~r(elem!1, s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[8266, 20053, 1731])).
% 4.14/4.36 tff(20064,plain,
% 4.14/4.36 (b(elem!1, s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[817, 21, 697, 20063])).
% 4.14/4.36 tff(20065,plain,
% 4.14/4.36 (~b(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[839, 20055, 763, 19702, 20064])).
% 4.14/4.36 tff(20066,plain,
% 4.14/4.36 (r(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[321, 20065, 137])).
% 4.14/4.36 tff(20067,plain,
% 4.14/4.36 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[2840, 82, 20066, 1653])).
% 4.14/4.36 tff(20068,plain,
% 4.14/4.36 (elem!1 = s(s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[2297, 20067, 20062])).
% 4.14/4.36 tff(20069,plain,
% 4.14/4.36 (s(elem!1) = s(s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20068])).
% 4.14/4.36 tff(20070,plain,
% 4.14/4.36 (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20069])).
% 4.14/4.36 tff(20071,plain,
% 4.14/4.36 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20070])).
% 4.14/4.36 tff(20072,plain,
% 4.14/4.36 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20068])).
% 4.14/4.36 tff(20073,plain,
% 4.14/4.36 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[763, 20072])).
% 4.14/4.36 tff(20074,plain,
% 4.14/4.36 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20073, 20071])).
% 4.14/4.36 tff(20075,plain,
% 4.14/4.36 ((s(z) = s(s(elem!1))) <=> (s(z) = s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20070])).
% 4.14/4.36 tff(20076,plain,
% 4.14/4.36 ((s(z) = s(s(elem!1))) <=> (s(s(s(s(s(s(elem!1)))))) = s(z))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20075, 6115])).
% 4.14/4.36 tff(20077,plain,
% 4.14/4.36 ((~(s(z) = s(s(elem!1)))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(z)))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20076])).
% 4.14/4.36 tff(20078,plain,
% 4.14/4.36 (~(s(s(s(s(s(s(elem!1)))))) = s(z))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[738, 20077])).
% 4.14/4.36 tff(20079,plain,
% 4.14/4.36 (r(s(s(elem!1)), s(z)) <=> r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20070])).
% 4.14/4.36 tff(20080,plain,
% 4.14/4.36 ((~r(s(s(elem!1)), s(z))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(z)))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20079])).
% 4.14/4.36 tff(20081,plain,
% 4.14/4.36 (~r(s(elem!1), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[303, 20053, 233])).
% 4.14/4.36 tff(20082,plain,
% 4.14/4.36 (b(s(elem!1), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[312, 20081, 294])).
% 4.14/4.36 tff(20083,plain,
% 4.14/4.36 (~r(elem!1, s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[243, 20053, 233])).
% 4.14/4.36 tff(20084,plain,
% 4.14/4.36 (b(elem!1, s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[252, 20083, 232])).
% 4.14/4.36 tff(20085,plain,
% 4.14/4.36 (~b(s(elem!1), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[13089, 20064, 20084, 20055, 20082])).
% 4.14/4.36 tff(20086,plain,
% 4.14/4.36 (r(s(elem!1), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[2070, 20085, 3114])).
% 4.14/4.36 tff(20087,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20088,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.36 inference(quant_inst,[status(thm)],[])).
% 4.14/4.36 tff(20089,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20088, 20087])).
% 4.14/4.36 tff(20090,plain,
% 4.14/4.36 (~b(elem!1, z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20089, 338, 763, 1595, 1929, 20055, 19702])).
% 4.14/4.36 tff(20091,plain,
% 4.14/4.36 (r(elem!1, z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[846, 20090, 1619])).
% 4.14/4.36 tff(20092,plain,
% 4.14/4.36 (~r(s(s(s(elem!1))), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1408, 20066, 1294])).
% 4.14/4.36 tff(20093,plain,
% 4.14/4.36 (b(s(s(s(elem!1))), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[2162, 20092, 1271])).
% 4.14/4.36 tff(20094,plain,
% 4.14/4.36 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[19532, 20093, 20053, 233, 294, 232, 1929, 20091])).
% 4.14/4.36 tff(20095,plain,
% 4.14/4.36 (r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1515, 20094, 210])).
% 4.14/4.36 tff(20096,plain,
% 4.14/4.36 (~r(s(z), s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[3055, 20095, 20086])).
% 4.14/4.36 tff(20097,plain,
% 4.14/4.36 (b(s(z), s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1870, 20096])).
% 4.14/4.36 tff(20098,plain,
% 4.14/4.36 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[17387, 20097, 1929, 20055, 20064])).
% 4.14/4.36 tff(20099,plain,
% 4.14/4.36 (r(s(s(s(elem!1))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1990, 20098])).
% 4.14/4.36 tff(20100,plain,
% 4.14/4.36 (~r(s(s(elem!1)), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[3038, 20099, 1294])).
% 4.14/4.36 tff(20101,plain,
% 4.14/4.36 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20100, 20080])).
% 4.14/4.36 tff(20102,plain,
% 4.14/4.36 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[6104, 20101, 20078])).
% 4.14/4.36 tff(20103,plain,
% 4.14/4.36 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20070])).
% 4.14/4.36 tff(20104,plain,
% 4.14/4.36 (b(s(z), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[19702, 20103])).
% 4.14/4.36 tff(20105,plain,
% 4.14/4.36 (b(elem!1, s(z)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20068])).
% 4.14/4.36 tff(20106,plain,
% 4.14/4.36 (b(s(s(s(s(elem!1)))), s(z))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20064, 20105])).
% 4.14/4.36 tff(20107,plain,
% 4.14/4.36 (b(s(z), elem!1) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20068])).
% 4.14/4.36 tff(20108,plain,
% 4.14/4.36 (b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20055, 20107])).
% 4.14/4.36 tff(20109,plain,
% 4.14/4.36 ($false),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[19975, 338, 20108, 20106, 20104, 20102, 20074])).
% 4.14/4.36 tff(20110,plain,((s(z) = elem!1) | (~b(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~r(z, s(elem!1))) | (s(s(s(elem!1))) = elem!1) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~r(z, s(z))) | (z = elem!1) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(20111,plain,
% 4.14/4.36 (s(z) = elem!1),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20110, 1929, 1653, 1294, 8573, 233, 1271, 137, 1595, 1731, 714, 405])).
% 4.14/4.36 tff(20112,plain,
% 4.14/4.36 (r(z, elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1733, 20111, 1731])).
% 4.14/4.36 tff(20113,plain,
% 4.14/4.36 (~r(s(elem!1), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[303, 20112, 233])).
% 4.14/4.36 tff(20114,plain,
% 4.14/4.36 (b(s(elem!1), elem!1)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[312, 20113, 294])).
% 4.14/4.36 tff(20115,plain,
% 4.14/4.36 (r(elem!1, z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[867, 20111, 405])).
% 4.14/4.36 tff(20116,plain,
% 4.14/4.36 (~r(elem!1, s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1673, 20115, 233])).
% 4.14/4.36 tff(20117,plain,
% 4.14/4.36 (b(elem!1, s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[252, 20116, 232])).
% 4.14/4.36 tff(20118,plain,
% 4.14/4.36 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20111])).
% 4.14/4.36 tff(20119,plain,
% 4.14/4.36 (b(elem!1, s(s(z))) <=> b(s(z), s(s(z)))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20118])).
% 4.14/4.36 tff(20120,plain,
% 4.14/4.36 (s(s(z)) = s(elem!1)),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20111])).
% 4.14/4.36 tff(20121,plain,
% 4.14/4.36 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20120])).
% 4.14/4.36 tff(20122,plain,
% 4.14/4.36 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(z)))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20121])).
% 4.14/4.36 tff(20123,plain,
% 4.14/4.36 (b(elem!1, s(elem!1)) <=> b(s(z), s(s(z)))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20122, 20119])).
% 4.14/4.36 tff(20124,plain,
% 4.14/4.36 (b(s(z), s(s(z)))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20117, 20123])).
% 4.14/4.36 tff(20125,plain,
% 4.14/4.36 (b(s(z), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20111])).
% 4.14/4.36 tff(20126,plain,
% 4.14/4.36 (b(elem!1, s(s(s(z)))) <=> b(s(z), s(s(s(z))))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20125])).
% 4.14/4.36 tff(20127,plain,
% 4.14/4.36 (s(s(s(z))) = s(s(elem!1))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20120])).
% 4.14/4.36 tff(20128,plain,
% 4.14/4.36 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20127])).
% 4.14/4.36 tff(20129,plain,
% 4.14/4.36 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(z))))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20128])).
% 4.14/4.36 tff(20130,plain,
% 4.14/4.36 (b(elem!1, s(s(elem!1))) <=> b(s(z), s(s(s(z))))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20129, 20126])).
% 4.14/4.36 tff(20131,plain,
% 4.14/4.36 (b(s(z), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20111])).
% 4.14/4.36 tff(20132,plain,
% 4.14/4.36 (b(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[19702, 20131])).
% 4.14/4.36 tff(20133,plain,
% 4.14/4.36 (b(s(z), s(s(s(z))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20132, 20130])).
% 4.14/4.36 tff(20134,plain,
% 4.14/4.36 (b(s(s(z)), s(z)) <=> b(s(s(z)), elem!1)),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20111])).
% 4.14/4.36 tff(20135,plain,
% 4.14/4.36 (b(s(s(z)), elem!1) <=> b(s(s(z)), s(z))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20134])).
% 4.14/4.36 tff(20136,plain,
% 4.14/4.36 (b(s(s(z)), elem!1) <=> b(s(elem!1), elem!1)),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20120])).
% 4.14/4.36 tff(20137,plain,
% 4.14/4.36 (b(s(elem!1), elem!1) <=> b(s(s(z)), elem!1)),
% 4.14/4.36 inference(symmetry,[status(thm)],[20136])).
% 4.14/4.36 tff(20138,plain,
% 4.14/4.36 (b(s(elem!1), elem!1) <=> b(s(s(z)), s(z))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20137, 20135])).
% 4.14/4.36 tff(20139,plain,
% 4.14/4.36 (b(s(s(z)), s(z))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20114, 20138])).
% 4.14/4.36 tff(20140,plain,
% 4.14/4.36 (~b(s(s(z)), s(s(s(z))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[484, 20139, 458, 20133, 20124])).
% 4.14/4.36 tff(20141,plain,
% 4.14/4.36 (r(s(s(z)), s(s(s(z))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[534, 20140])).
% 4.14/4.36 tff(20142,plain,
% 4.14/4.36 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[5400, 20141, 1294, 20111])).
% 4.14/4.36 tff(20143,plain,
% 4.14/4.36 (b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1515, 20142, 210])).
% 4.14/4.36 tff(20144,plain,
% 4.14/4.36 (r(s(z), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20111])).
% 4.14/4.36 tff(20145,plain,
% 4.14/4.36 ((~r(s(z), s(s(elem!1)))) <=> (~r(elem!1, s(s(elem!1))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20144])).
% 4.14/4.36 tff(20146,plain,
% 4.14/4.36 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[19701, 20145])).
% 4.14/4.36 tff(20147,plain,
% 4.14/4.36 (~b(s(s(elem!1)), s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[346, 20146, 137, 20114, 20117, 323])).
% 4.14/4.36 tff(20148,plain,
% 4.14/4.36 (r(s(s(elem!1)), s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[277, 20147, 225])).
% 4.14/4.36 tff(20149,plain,
% 4.14/4.36 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[2048, 20148, 1294])).
% 4.14/4.36 tff(20150,plain,
% 4.14/4.36 (b(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1971, 20149, 218])).
% 4.14/4.36 tff(20151,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20152,plain,
% 4.14/4.36 (((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(20153,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20152])).
% 4.14/4.36 tff(20154,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20153, 20151])).
% 4.14/4.36 tff(20155,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))),
% 4.14/4.36 inference(quant_inst,[status(thm)],[])).
% 4.14/4.36 tff(20156,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20155, 20154])).
% 4.14/4.36 tff(20157,plain,
% 4.14/4.36 ($false),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20156, 338, 20150, 1929, 20143, 20117, 20114])).
% 4.14/4.36 tff(20158,plain,((~b(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | (~b(z, s(s(s(elem!1))))) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(20159,plain,
% 4.14/4.36 (~b(elem!1, s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[20158, 323, 458, 137, 1294, 233, 1731, 405, 1653, 1271, 20021, 714])).
% 4.14/4.36 tff(20160,plain,
% 4.14/4.36 (r(elem!1, s(s(s(elem!1))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1946, 20159, 1925])).
% 4.14/4.36 tff(20161,plain,
% 4.14/4.36 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[4436, 20160, 1294])).
% 4.14/4.36 tff(20162,plain,
% 4.14/4.36 (~r(z, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[19712, 20021, 19674, 19678, 1653])).
% 4.14/4.36 tff(20163,plain,
% 4.14/4.36 (b(z, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[161, 20162])).
% 4.14/4.36 tff(20164,plain,
% 4.14/4.36 (s(z) = elem!1),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[19735, 20163, 137, 405, 20161, 323, 19702, 714, 1731])).
% 4.14/4.36 tff(20165,plain,
% 4.14/4.36 (s(s(z)) = s(elem!1)),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20164])).
% 4.14/4.36 tff(20166,plain,
% 4.14/4.36 (s(s(s(z))) = s(s(elem!1))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20165])).
% 4.14/4.36 tff(20167,plain,
% 4.14/4.36 (s(s(elem!1)) = s(s(s(z)))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20166])).
% 4.14/4.36 tff(20168,plain,
% 4.14/4.36 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(z))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20167])).
% 4.14/4.36 tff(20169,plain,
% 4.14/4.36 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20168])).
% 4.14/4.36 tff(20170,plain,
% 4.14/4.36 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20165])).
% 4.14/4.36 tff(20171,plain,
% 4.14/4.36 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20170, 20169])).
% 4.14/4.36 tff(20172,plain,
% 4.14/4.36 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20164])).
% 4.14/4.36 tff(20173,plain,
% 4.14/4.36 (b(elem!1, s(s(z))) <=> b(s(z), s(s(z)))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20172])).
% 4.14/4.36 tff(20174,plain,
% 4.14/4.36 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20165])).
% 4.14/4.36 tff(20175,plain,
% 4.14/4.36 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(z)))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20174])).
% 4.14/4.36 tff(20176,plain,
% 4.14/4.36 (b(elem!1, s(elem!1)) <=> b(s(z), s(s(z)))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20175, 20173])).
% 4.14/4.36 tff(20177,plain,
% 4.14/4.36 (r(elem!1, z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[867, 20164, 405])).
% 4.14/4.36 tff(20178,plain,
% 4.14/4.36 (~r(elem!1, s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1673, 20177, 233])).
% 4.14/4.36 tff(20179,plain,
% 4.14/4.36 (b(elem!1, s(elem!1))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[252, 20178, 232])).
% 4.14/4.36 tff(20180,plain,
% 4.14/4.36 (b(s(z), s(s(z)))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20179, 20176])).
% 4.14/4.36 tff(20181,plain,
% 4.14/4.36 (b(s(z), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20164])).
% 4.14/4.36 tff(20182,plain,
% 4.14/4.36 (b(elem!1, s(s(s(z)))) <=> b(s(z), s(s(s(z))))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20181])).
% 4.14/4.36 tff(20183,plain,
% 4.14/4.36 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20166])).
% 4.14/4.36 tff(20184,plain,
% 4.14/4.36 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(z))))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20183])).
% 4.14/4.36 tff(20185,plain,
% 4.14/4.36 (b(elem!1, s(s(elem!1))) <=> b(s(z), s(s(s(z))))),
% 4.14/4.36 inference(transitivity,[status(thm)],[20184, 20182])).
% 4.14/4.36 tff(20186,plain,
% 4.14/4.36 (b(elem!1, s(s(elem!1)))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[321, 20161, 137])).
% 4.14/4.36 tff(20187,plain,
% 4.14/4.36 (b(s(z), s(s(s(z))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[20186, 20185])).
% 4.14/4.36 tff(20188,plain,
% 4.14/4.36 (b(s(s(z)), s(z)) <=> b(s(s(z)), elem!1)),
% 4.14/4.36 inference(monotonicity,[status(thm)],[20164])).
% 4.14/4.36 tff(20189,plain,
% 4.14/4.36 (b(s(s(z)), elem!1) <=> b(s(s(z)), s(z))),
% 4.14/4.36 inference(symmetry,[status(thm)],[20188])).
% 4.14/4.37 tff(20190,plain,
% 4.14/4.37 (b(s(s(z)), elem!1) <=> b(s(elem!1), elem!1)),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20165])).
% 4.14/4.37 tff(20191,plain,
% 4.14/4.37 (b(s(elem!1), elem!1) <=> b(s(s(z)), elem!1)),
% 4.14/4.37 inference(symmetry,[status(thm)],[20190])).
% 4.14/4.37 tff(20192,plain,
% 4.14/4.37 (b(s(elem!1), elem!1) <=> b(s(s(z)), s(z))),
% 4.14/4.37 inference(transitivity,[status(thm)],[20191, 20189])).
% 4.14/4.37 tff(20193,plain,
% 4.14/4.37 (r(z, elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1733, 20164, 1731])).
% 4.14/4.37 tff(20194,plain,
% 4.14/4.37 (~r(s(elem!1), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[303, 20193, 233])).
% 4.14/4.37 tff(20195,plain,
% 4.14/4.37 (b(s(elem!1), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[312, 20194, 294])).
% 4.14/4.37 tff(20196,plain,
% 4.14/4.37 (b(s(s(z)), s(z))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20195, 20192])).
% 4.14/4.37 tff(20197,plain,
% 4.14/4.37 (~b(s(s(z)), s(s(s(z))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[484, 20196, 458, 20187, 20180])).
% 4.14/4.37 tff(20198,plain,
% 4.14/4.37 (r(s(s(z)), s(s(s(z))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[534, 20197])).
% 4.14/4.37 tff(20199,plain,
% 4.14/4.37 (r(s(elem!1), s(s(elem!1)))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20198, 20171])).
% 4.14/4.37 tff(20200,plain,
% 4.14/4.37 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[9275, 82, 1653, 20199])).
% 4.14/4.37 tff(20201,plain,
% 4.14/4.37 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1532, 21, 1337, 20200])).
% 4.14/4.37 tff(20202,plain,
% 4.14/4.37 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[5400, 20198, 1294, 20164])).
% 4.14/4.37 tff(20203,plain,
% 4.14/4.37 (b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1515, 20202, 210])).
% 4.14/4.37 tff(20204,plain,
% 4.14/4.37 (~b(s(s(elem!1)), s(elem!1))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[346, 20195, 137, 20161, 20179, 323])).
% 4.14/4.37 tff(20205,plain,
% 4.14/4.37 (r(s(s(elem!1)), s(elem!1))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[277, 20204, 225])).
% 4.14/4.37 tff(20206,plain,
% 4.14/4.37 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[2048, 20205, 1294])).
% 4.14/4.37 tff(20207,plain,
% 4.14/4.37 (b(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1971, 20206, 218])).
% 4.14/4.37 tff(20208,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20209,plain,
% 4.14/4.37 (((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1))))))) <=> ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20210,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1))))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20209])).
% 4.14/4.37 tff(20211,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(transitivity,[status(thm)],[20210, 20208])).
% 4.14/4.37 tff(20212,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(20213,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1))))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20212, 20211])).
% 4.14/4.37 tff(20214,plain,
% 4.14/4.37 ($false),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20213, 338, 20207, 20203, 19674, 19678, 20201])).
% 4.14/4.37 tff(20215,plain,(r(s(s(elem!1)), elem!1) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (elem!1 = s(s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (~r(s(z), z)) | (z = elem!1) | (s(s(s(elem!1))) = elem!1) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.37 tff(20216,plain,
% 4.14/4.37 (r(s(s(elem!1)), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20215, 233, 1294, 19446, 137, 1653, 1731, 405, 714, 1271, 108, 175, 2257])).
% 4.14/4.37 tff(20217,plain,
% 4.14/4.37 (~r(s(s(s(elem!1))), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1299, 20216, 1294])).
% 4.14/4.37 tff(20218,plain,
% 4.14/4.37 (~r(elem!1, s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[6487, 20216, 2257])).
% 4.14/4.37 tff(20219,plain,
% 4.14/4.37 (b(elem!1, s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1946, 20218, 1925])).
% 4.14/4.37 tff(20220,plain,
% 4.14/4.37 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[2840, 82, 279, 1653])).
% 4.14/4.37 tff(20221,plain,
% 4.14/4.37 (~r(s(s(s(s(elem!1)))), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[16416, 82, 279, 1653])).
% 4.14/4.37 tff(20222,plain,
% 4.14/4.37 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1329, 10549])).
% 4.14/4.37 tff(20223,plain,
% 4.14/4.37 (~(s(s(s(elem!1))) = s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20222, 13130])).
% 4.14/4.37 tff(20224,plain,
% 4.14/4.37 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[19677, 20223])).
% 4.14/4.37 tff(20225,plain,
% 4.14/4.37 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1562, 19673, 20222])).
% 4.14/4.37 tff(20226,plain,
% 4.14/4.37 (~r(s(z), s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[5440, 18117, 405])).
% 4.14/4.37 tff(20227,plain,
% 4.14/4.37 (~r(z, s(s(elem!1)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1361, 18117, 1294])).
% 4.14/4.37 tff(20228,plain,
% 4.14/4.37 (b(z, s(s(elem!1)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[161, 20227])).
% 4.14/4.37 tff(20229,plain,
% 4.14/4.37 (~r(s(s(elem!1)), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[7217, 18117, 2257])).
% 4.14/4.37 tff(20230,plain,
% 4.14/4.37 (b(s(s(elem!1)), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[800, 20229])).
% 4.14/4.37 tff(20231,plain,
% 4.14/4.37 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[8821, 20230, 555, 20228, 175])).
% 4.14/4.37 tff(20232,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20233,plain,
% 4.14/4.37 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20234,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20233])).
% 4.14/4.37 tff(20235,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.37 inference(transitivity,[status(thm)],[20234, 20232])).
% 4.14/4.37 tff(20236,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(20237,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20236, 20235])).
% 4.14/4.37 tff(20238,plain,
% 4.14/4.37 ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(s(elem!1))))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20237, 338, 1021, 1929, 2636, 2208])).
% 4.14/4.37 tff(20239,plain,
% 4.14/4.37 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20238, 1596])).
% 4.14/4.37 tff(20240,plain,
% 4.14/4.37 (elem!1 = s(s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[2297, 20239, 16418])).
% 4.14/4.37 tff(20241,plain,
% 4.14/4.37 (s(s(s(s(elem!1)))) = elem!1),
% 4.14/4.37 inference(symmetry,[status(thm)],[20240])).
% 4.14/4.37 tff(20242,plain,
% 4.14/4.37 (r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))) <=> r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20241])).
% 4.14/4.37 tff(20243,plain,
% 4.14/4.37 (r(elem!1, s(s(s(s(s(s(elem!1))))))) <=> r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(symmetry,[status(thm)],[20242])).
% 4.14/4.37 tff(20244,plain,
% 4.14/4.37 (s(elem!1) = s(s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20240])).
% 4.14/4.37 tff(20245,plain,
% 4.14/4.37 (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20244])).
% 4.14/4.37 tff(20246,plain,
% 4.14/4.37 (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))),
% 4.14/4.37 inference(symmetry,[status(thm)],[20245])).
% 4.14/4.37 tff(20247,plain,
% 4.14/4.37 (r(elem!1, s(s(s(s(s(s(elem!1))))))) <=> r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20240, 20246])).
% 4.14/4.37 tff(20248,plain,
% 4.14/4.37 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(symmetry,[status(thm)],[20247])).
% 4.14/4.37 tff(20249,plain,
% 4.14/4.37 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[1653, 20248])).
% 4.14/4.37 tff(20250,plain,
% 4.14/4.37 (r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20249, 20243])).
% 4.14/4.37 tff(20251,plain,
% 4.14/4.37 (r(s(s(s(s(elem!1)))), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20241])).
% 4.14/4.37 tff(20252,plain,
% 4.14/4.37 (r(elem!1, s(s(s(s(z))))) <=> r(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 4.14/4.37 inference(symmetry,[status(thm)],[20251])).
% 4.14/4.37 tff(20253,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20254,plain,
% 4.14/4.37 (((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20255,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20254])).
% 4.14/4.37 tff(20256,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.14/4.37 inference(transitivity,[status(thm)],[20255, 20253])).
% 4.14/4.37 tff(20257,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(20258,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z))))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20257, 20256])).
% 4.14/4.37 tff(20259,plain,
% 4.14/4.37 ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(s(z))))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20258, 338, 1021, 1131, 2636, 175])).
% 4.14/4.37 tff(20260,plain,
% 4.14/4.37 (~b(elem!1, s(s(s(s(z)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20259, 1596])).
% 4.14/4.37 tff(20261,plain,
% 4.14/4.37 (~(s(s(s(s(z)))) = elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[19951, 20240, 3301])).
% 4.14/4.37 tff(20262,plain,
% 4.14/4.37 (~(elem!1 = s(s(s(s(z)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1062, 20261])).
% 4.14/4.37 tff(20263,plain,
% 4.14/4.37 (r(elem!1, s(s(s(s(z)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1094, 20262, 20260])).
% 4.14/4.37 tff(20264,plain,
% 4.14/4.37 (r(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20263, 20252])).
% 4.14/4.37 tff(20265,plain,
% 4.14/4.37 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20245])).
% 4.14/4.37 tff(20266,plain,
% 4.14/4.37 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20265])).
% 4.14/4.37 tff(20267,plain,
% 4.14/4.37 (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[1267, 20266])).
% 4.14/4.37 tff(20268,plain,
% 4.14/4.37 (r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[6010, 20267, 6006])).
% 4.14/4.37 tff(20269,plain,
% 4.14/4.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20270,plain,
% 4.14/4.37 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20271,plain,
% 4.14/4.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20270])).
% 4.14/4.37 tff(20272,plain,
% 4.14/4.37 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.37 inference(transitivity,[status(thm)],[20271, 20269])).
% 4.14/4.37 tff(20273,plain,
% 4.14/4.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(20274,plain,
% 4.14/4.37 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20273, 20272])).
% 4.14/4.37 tff(20275,plain,
% 4.14/4.37 ((~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20274, 82, 20268])).
% 4.14/4.37 tff(20276,plain,
% 4.14/4.37 ($false),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20275, 20264, 20250])).
% 4.14/4.37 tff(20277,plain,((~b(s(s(s(elem!1))), z)) | b(s(s(s(s(z)))), s(s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (s(s(s(elem!1))) = s(s(s(z)))) | r(elem!1, s(s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.37 tff(20278,plain,
% 4.14/4.37 (~b(s(s(s(elem!1))), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20277, 20231, 1653, 3301, 16418, 1021, 1131, 2636, 175, 1929, 2208])).
% 4.14/4.37 tff(20279,plain,
% 4.14/4.37 (r(s(s(s(elem!1))), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1387, 20278])).
% 4.14/4.37 tff(20280,plain,
% 4.14/4.37 (~r(s(s(s(elem!1))), s(z))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[2599, 20279, 405])).
% 4.14/4.37 tff(20281,plain,
% 4.14/4.37 (~b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[19696, 20280, 2208, 7528, 20226])).
% 4.14/4.37 tff(20282,plain,
% 4.14/4.37 (r(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[2239, 20281])).
% 4.14/4.37 tff(20283,plain,
% 4.14/4.37 (~r(s(s(s(s(elem!1)))), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[2233, 20282, 405])).
% 4.14/4.37 tff(20284,plain,
% 4.14/4.37 (b(s(s(s(s(elem!1)))), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1638, 20283])).
% 4.14/4.37 tff(20285,plain,
% 4.14/4.37 (elem!1 = s(s(s(s(elem!1))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[16425, 1131, 2191, 20284, 1021, 16418])).
% 4.14/4.37 tff(20286,plain,
% 4.14/4.37 (s(s(s(s(elem!1)))) = elem!1),
% 4.14/4.37 inference(symmetry,[status(thm)],[20285])).
% 4.14/4.37 tff(20287,plain,
% 4.14/4.37 (b(s(s(s(s(z)))), s(s(s(s(elem!1))))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20286])).
% 4.14/4.37 tff(20288,plain,
% 4.14/4.37 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(symmetry,[status(thm)],[20287])).
% 4.14/4.37 tff(20289,plain,
% 4.14/4.37 (b(s(s(s(elem!1))), s(z))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1990, 20280])).
% 4.14/4.37 tff(20290,plain,
% 4.14/4.37 (~b(s(z), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[18138, 20289, 1131, 1021, 1929, 2636, 18117])).
% 4.14/4.37 tff(20291,plain,
% 4.14/4.37 (r(s(z), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[701, 20290, 691])).
% 4.14/4.37 tff(20292,plain,
% 4.14/4.37 (~r(s(s(s(s(z)))), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[3417, 20291, 108])).
% 4.14/4.37 tff(20293,plain,
% 4.14/4.37 (~(s(s(s(s(z)))) = elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[19951, 20285, 3301])).
% 4.14/4.37 tff(20294,plain,
% 4.14/4.37 (b(s(s(s(s(z)))), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1144, 20293, 20292])).
% 4.14/4.37 tff(20295,plain,
% 4.14/4.37 (b(s(s(s(s(z)))), s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20294, 20288])).
% 4.14/4.37 tff(20296,plain,
% 4.14/4.37 (b(z, elem!1) <=> b(z, s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20285])).
% 4.14/4.37 tff(20297,plain,
% 4.14/4.37 (b(z, s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[1021, 20296])).
% 4.14/4.37 tff(20298,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20299,plain,
% 4.14/4.37 (((~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(20300,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1))))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[20299])).
% 4.14/4.37 tff(20301,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(transitivity,[status(thm)],[20300, 20298])).
% 4.14/4.37 tff(20302,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(20303,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(elem!1))))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[20302, 20301])).
% 4.14/4.37 tff(20304,plain,
% 4.14/4.37 (~b(s(s(s(s(z)))), s(s(s(s(elem!1)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20303, 338, 20297, 20284, 175, 555])).
% 4.14/4.37 tff(20305,plain,
% 4.14/4.37 ($false),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20304, 20295])).
% 4.14/4.37 tff(20306,plain,((~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, elem!1)) | (s(s(s(elem!1))) = s(s(s(z)))) | r(s(s(s(s(elem!1)))), elem!1) | r(elem!1, s(s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (s(z) = elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.37 tff(20307,plain,
% 4.14/4.37 (~b(elem!1, z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[20306, 1021, 555, 175, 3301, 2191, 16418, 108, 405, 691, 1929, 2636, 20225, 20224, 1653, 2257, 1294])).
% 4.14/4.37 tff(20308,plain,
% 4.14/4.37 (r(elem!1, z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[846, 20307, 719])).
% 4.14/4.37 tff(20309,plain,
% 4.14/4.37 (~r(elem!1, s(z))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[809, 82, 20308, 405])).
% 4.14/4.37 tff(20310,plain,
% 4.14/4.37 (b(elem!1, s(z))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[819, 20309, 697])).
% 4.14/4.37 tff(20311,plain,
% 4.14/4.37 (~r(s(z), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[826, 82, 20308, 405])).
% 4.14/4.37 tff(20312,plain,
% 4.14/4.37 (b(s(z), elem!1)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[701, 20311, 691])).
% 4.14/4.37 tff(20313,plain,
% 4.14/4.37 (~r(elem!1, s(elem!1))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1673, 20308, 233])).
% 4.14/4.38 tff(20314,plain,
% 4.14/4.38 (b(elem!1, s(elem!1))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[252, 20313, 7156])).
% 4.14/4.38 tff(20315,plain,
% 4.14/4.38 (b(s(z), s(s(s(elem!1))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1870, 19781])).
% 4.14/4.38 tff(20316,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20317,plain,
% 4.14/4.38 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20318,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20317])).
% 4.14/4.38 tff(20319,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 4.14/4.38 inference(transitivity,[status(thm)],[20318, 20316])).
% 4.14/4.38 tff(20320,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))),
% 4.14/4.38 inference(quant_inst,[status(thm)],[])).
% 4.14/4.38 tff(20321,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20320, 20319])).
% 4.14/4.38 tff(20322,plain,
% 4.14/4.38 ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(elem!1)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20321, 338, 1929, 2636, 2208, 706])).
% 4.14/4.38 tff(20323,plain,
% 4.14/4.38 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20322, 20315])).
% 4.14/4.38 tff(20324,plain,
% 4.14/4.38 (elem!1 = s(s(s(s(elem!1))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[2297, 20323, 16418])).
% 4.14/4.38 tff(20325,plain,
% 4.14/4.38 (b(z, elem!1) <=> b(z, s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20324])).
% 4.14/4.38 tff(20326,plain,
% 4.14/4.38 (b(z, s(s(s(s(elem!1))))) <=> b(z, elem!1)),
% 4.14/4.38 inference(symmetry,[status(thm)],[20325])).
% 4.14/4.38 tff(20327,plain,
% 4.14/4.38 ((~b(z, s(s(s(s(elem!1)))))) <=> (~b(z, elem!1))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20326])).
% 4.14/4.38 tff(20328,plain,
% 4.14/4.38 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[17387, 20315, 1929, 706, 831])).
% 4.14/4.38 tff(20329,plain,
% 4.14/4.38 (r(s(s(s(elem!1))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1990, 20328])).
% 4.14/4.38 tff(20330,plain,
% 4.14/4.38 (~r(s(s(s(elem!1))), z)),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[2599, 20329, 405])).
% 4.14/4.38 tff(20331,plain,
% 4.14/4.38 (b(s(s(s(elem!1))), z)),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1387, 20330])).
% 4.14/4.38 tff(20332,plain,
% 4.14/4.38 (b(s(s(s(s(elem!1)))), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[10895])).
% 4.14/4.38 tff(20333,plain,
% 4.14/4.38 (b(elem!1, s(elem!1)) <=> b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.14/4.38 inference(symmetry,[status(thm)],[20332])).
% 4.14/4.38 tff(20334,plain,
% 4.14/4.38 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[315, 20333])).
% 4.14/4.38 tff(20335,plain,
% 4.14/4.38 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[10895])).
% 4.14/4.38 tff(20336,plain,
% 4.14/4.38 (b(elem!1, s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.38 inference(symmetry,[status(thm)],[20335])).
% 4.14/4.38 tff(20337,plain,
% 4.14/4.38 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[1929, 20336])).
% 4.14/4.38 tff(20338,plain,
% 4.14/4.38 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), elem!1)),
% 4.14/4.38 inference(monotonicity,[status(thm)],[10895])).
% 4.14/4.38 tff(20339,plain,
% 4.14/4.38 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(symmetry,[status(thm)],[20338])).
% 4.14/4.38 tff(20340,plain,
% 4.14/4.38 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[2636, 20339])).
% 4.14/4.38 tff(20341,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20342,plain,
% 4.14/4.38 (((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1)))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20343,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20342])).
% 4.14/4.38 tff(20344,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.38 inference(transitivity,[status(thm)],[20343, 20341])).
% 4.14/4.38 tff(20345,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))))),
% 4.14/4.38 inference(quant_inst,[status(thm)],[])).
% 4.14/4.38 tff(20346,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20345, 20344])).
% 4.14/4.38 tff(20347,plain,
% 4.14/4.38 ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20346, 338, 1596, 1564, 1701])).
% 4.14/4.38 tff(20348,plain,
% 4.14/4.38 ($false),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20347, 20340, 20337, 20334])).
% 4.14/4.38 tff(20349,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~(elem!1 = s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.38 tff(20350,plain,
% 4.14/4.38 (~b(z, s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20349, 20331, 315, 18677, 1929, 2636, 20324])).
% 4.14/4.38 tff(20351,plain,
% 4.14/4.38 (~b(z, elem!1)),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20350, 20327])).
% 4.14/4.38 tff(20352,plain,
% 4.14/4.38 ($false),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1021, 20351])).
% 4.14/4.38 tff(20353,plain,((~r(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(z), z)) | r(elem!1, s(s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(elem!1, s(z))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.38 tff(20354,plain,
% 4.14/4.38 (~r(z, s(s(s(elem!1))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20353, 1021, 20314, 1929, 2636, 405, 16418, 20225, 20312, 20310, 215, 233])).
% 4.14/4.38 tff(20355,plain,
% 4.14/4.38 (b(z, s(s(s(elem!1))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1373, 20354])).
% 4.14/4.38 tff(20356,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20357,plain,
% 4.14/4.38 (((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20358,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20357])).
% 4.14/4.38 tff(20359,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.14/4.38 inference(transitivity,[status(thm)],[20358, 20356])).
% 4.14/4.38 tff(20360,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))),
% 4.14/4.38 inference(quant_inst,[status(thm)],[])).
% 4.14/4.38 tff(20361,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20360, 20359])).
% 4.14/4.38 tff(20362,plain,
% 4.14/4.38 ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20361, 338, 1021, 1929, 2636, 20225])).
% 4.14/4.38 tff(20363,plain,
% 4.14/4.38 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20362, 20355])).
% 4.14/4.38 tff(20364,plain,
% 4.14/4.38 (elem!1 = s(s(s(s(elem!1))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[2297, 20363, 16418])).
% 4.14/4.38 tff(20365,plain,
% 4.14/4.38 (s(elem!1) = s(s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20364])).
% 4.14/4.38 tff(20366,plain,
% 4.14/4.38 (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20365])).
% 4.14/4.38 tff(20367,plain,
% 4.14/4.38 (s(s(s(elem!1))) = s(s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20366])).
% 4.14/4.38 tff(20368,plain,
% 4.14/4.38 (s(s(s(s(s(s(s(elem!1))))))) = s(s(s(elem!1)))),
% 4.14/4.38 inference(symmetry,[status(thm)],[20367])).
% 4.14/4.38 tff(20369,plain,
% 4.14/4.38 (b(s(s(s(s(s(s(s(elem!1))))))), z) <=> b(s(s(s(elem!1))), z)),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20368])).
% 4.14/4.38 tff(20370,plain,
% 4.14/4.38 ((~b(s(s(s(s(s(s(s(elem!1))))))), z)) <=> (~b(s(s(s(elem!1))), z))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20369])).
% 4.14/4.38 tff(20371,plain,
% 4.14/4.38 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20368])).
% 4.14/4.38 tff(20372,plain,
% 4.14/4.38 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.38 inference(symmetry,[status(thm)],[20371])).
% 4.14/4.38 tff(20373,plain,
% 4.14/4.38 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20225, 20372])).
% 4.14/4.38 tff(20374,plain,
% 4.14/4.38 (b(z, s(s(s(s(s(s(s(elem!1)))))))) <=> b(z, s(s(s(elem!1))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20368])).
% 4.14/4.38 tff(20375,plain,
% 4.14/4.38 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.38 inference(symmetry,[status(thm)],[20374])).
% 4.14/4.38 tff(20376,plain,
% 4.14/4.38 (b(z, s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20355, 20375])).
% 4.14/4.38 tff(20377,plain,
% 4.14/4.38 (b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20368])).
% 4.14/4.38 tff(20378,plain,
% 4.14/4.38 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(symmetry,[status(thm)],[20377])).
% 4.14/4.38 tff(20379,plain,
% 4.14/4.38 (b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20224, 20378])).
% 4.14/4.38 tff(20380,plain,
% 4.14/4.38 (b(z, elem!1) <=> b(z, s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20364])).
% 4.14/4.38 tff(20381,plain,
% 4.14/4.38 (b(z, s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[1021, 20380])).
% 4.14/4.38 tff(20382,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20383,plain,
% 4.14/4.38 (((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20384,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20383])).
% 4.14/4.38 tff(20385,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.38 inference(transitivity,[status(thm)],[20384, 20382])).
% 4.14/4.38 tff(20386,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(elem!1)))))))),
% 4.14/4.38 inference(quant_inst,[status(thm)],[])).
% 4.14/4.38 tff(20387,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20386, 20385])).
% 4.14/4.38 tff(20388,plain,
% 4.14/4.38 ((~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20387, 338, 20381])).
% 4.14/4.38 tff(20389,plain,
% 4.14/4.38 (~b(s(s(s(s(s(s(s(elem!1))))))), z)),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[20388, 20379, 20376, 20373])).
% 4.14/4.38 tff(20390,plain,
% 4.14/4.38 (~b(s(s(s(elem!1))), z)),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20389, 20370])).
% 4.14/4.38 tff(20391,plain,
% 4.14/4.38 (r(s(s(s(elem!1))), z)),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1387, 20390])).
% 4.14/4.38 tff(20392,plain,
% 4.14/4.38 (b(s(s(s(s(s(s(s(elem!1))))))), s(z)) <=> b(s(s(s(elem!1))), s(z))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20368])).
% 4.14/4.38 tff(20393,plain,
% 4.14/4.38 ((~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) <=> (~b(s(s(s(elem!1))), s(z)))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20392])).
% 4.14/4.38 tff(20394,plain,
% 4.14/4.38 (b(s(z), elem!1) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[20364])).
% 4.14/4.38 tff(20395,plain,
% 4.14/4.38 (b(s(z), s(s(s(s(elem!1)))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[20312, 20394])).
% 4.14/4.38 tff(20396,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20397,plain,
% 4.14/4.38 (((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(elem!1))))))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(20398,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20397])).
% 4.14/4.39 tff(20399,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.39 inference(transitivity,[status(thm)],[20398, 20396])).
% 4.14/4.39 tff(20400,plain,
% 4.14/4.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(z, s(s(s(s(elem!1)))))))),
% 4.14/4.39 inference(quant_inst,[status(thm)],[])).
% 4.14/4.39 tff(20401,plain,
% 4.14/4.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20400, 20399])).
% 4.14/4.39 tff(20402,plain,
% 4.14/4.39 ((~b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20401, 338, 20381, 20395])).
% 4.14/4.39 tff(20403,plain,
% 4.14/4.39 (~b(s(s(s(s(s(s(s(elem!1))))))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20402, 20376, 20373, 20379])).
% 4.14/4.39 tff(20404,plain,
% 4.14/4.39 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20403, 20393])).
% 4.14/4.39 tff(20405,plain,
% 4.14/4.39 (r(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1990, 20404])).
% 4.14/4.39 tff(20406,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2599, 20405, 20391, 405])).
% 4.14/4.39 tff(20407,plain,((~b(z, elem!1)) | (~r(s(z), z)) | r(elem!1, s(s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(z, s(elem!1))) | (s(z) = elem!1) | (elem!1 = z) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(elem!1))) = s(s(s(z)))) | r(s(s(s(s(elem!1)))), elem!1) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20408,plain,
% 4.14/4.39 (~b(z, elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20407, 20220, 405, 1929, 2636, 215, 233, 691, 1619, 2360, 175, 3122, 20221, 108, 1653, 2257, 1294])).
% 4.14/4.39 tff(20409,plain,
% 4.14/4.39 (r(z, elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[353, 20408, 714])).
% 4.14/4.39 tff(20410,plain,
% 4.14/4.39 (~r(elem!1, s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[243, 20409, 233])).
% 4.14/4.39 tff(20411,plain,
% 4.14/4.39 (b(elem!1, s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[252, 20410, 7156])).
% 4.14/4.39 tff(20412,plain,
% 4.14/4.39 (~r(s(elem!1), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[303, 20409, 233])).
% 4.14/4.39 tff(20413,plain,
% 4.14/4.39 (b(s(elem!1), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[312, 20412, 306])).
% 4.14/4.39 tff(20414,plain,
% 4.14/4.39 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[13508, 20413, 2636, 20411, 1929])).
% 4.14/4.39 tff(20415,plain,
% 4.14/4.39 (r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1515, 20414, 215])).
% 4.14/4.39 tff(20416,plain,
% 4.14/4.39 (~r(s(z), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[3145, 20409, 1731])).
% 4.14/4.39 tff(20417,plain,
% 4.14/4.39 (b(s(z), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[701, 20416, 691])).
% 4.14/4.39 tff(20418,plain,
% 4.14/4.39 (~r(elem!1, s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[8266, 20409, 1731])).
% 4.14/4.39 tff(20419,plain,
% 4.14/4.39 (b(elem!1, s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[819, 20418, 697])).
% 4.14/4.39 tff(20420,plain,
% 4.14/4.39 (~b(s(elem!1), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[13089, 20413, 20411, 20419, 20417])).
% 4.14/4.39 tff(20421,plain,
% 4.14/4.39 (r(s(elem!1), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2070, 20420, 3114])).
% 4.14/4.39 tff(20422,plain,
% 4.14/4.39 (~r(s(z), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[3055, 20421, 20415])).
% 4.14/4.39 tff(20423,plain,
% 4.14/4.39 (b(s(z), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1870, 20422])).
% 4.14/4.39 tff(20424,plain,
% 4.14/4.39 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20321, 338, 1929, 2636, 20225, 20417, 20423])).
% 4.14/4.39 tff(20425,plain,
% 4.14/4.39 (elem!1 = s(s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2297, 20424, 20220])).
% 4.14/4.39 tff(20426,plain,
% 4.14/4.39 (s(elem!1) = s(s(s(s(s(elem!1)))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20425])).
% 4.14/4.39 tff(20427,plain,
% 4.14/4.39 (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20426])).
% 4.14/4.39 tff(20428,plain,
% 4.14/4.39 (s(s(s(elem!1))) = s(s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20427])).
% 4.14/4.39 tff(20429,plain,
% 4.14/4.39 (s(s(s(s(s(s(s(elem!1))))))) = s(s(s(elem!1)))),
% 4.14/4.39 inference(symmetry,[status(thm)],[20428])).
% 4.14/4.39 tff(20430,plain,
% 4.14/4.39 (s(s(s(s(s(elem!1))))) = s(elem!1)),
% 4.14/4.39 inference(symmetry,[status(thm)],[20426])).
% 4.14/4.39 tff(20431,plain,
% 4.14/4.39 (r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1)))))))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20430, 20429])).
% 4.14/4.39 tff(20432,plain,
% 4.14/4.39 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.39 inference(symmetry,[status(thm)],[20431])).
% 4.14/4.39 tff(20433,plain,
% 4.14/4.39 (r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20415, 20432])).
% 4.14/4.39 tff(20434,plain,
% 4.14/4.39 (r(s(s(s(s(s(elem!1))))), s(z)) <=> r(s(elem!1), s(z))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20430])).
% 4.14/4.39 tff(20435,plain,
% 4.14/4.39 (r(s(elem!1), s(z)) <=> r(s(s(s(s(s(elem!1))))), s(z))),
% 4.14/4.39 inference(symmetry,[status(thm)],[20434])).
% 4.14/4.39 tff(20436,plain,
% 4.14/4.39 (r(s(s(s(s(s(elem!1))))), s(z))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20421, 20435])).
% 4.14/4.39 tff(20437,plain,
% 4.14/4.39 (r(s(s(s(s(s(s(s(elem!1))))))), s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20429])).
% 4.14/4.39 tff(20438,plain,
% 4.14/4.39 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(s(s(s(s(s(elem!1))))))), s(z))),
% 4.14/4.39 inference(symmetry,[status(thm)],[20437])).
% 4.14/4.39 tff(20439,plain,
% 4.14/4.39 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[17387, 20423, 1929, 20417, 20419])).
% 4.14/4.39 tff(20440,plain,
% 4.14/4.39 (r(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1990, 20439])).
% 4.14/4.39 tff(20441,plain,
% 4.14/4.39 (r(s(s(s(s(s(s(s(elem!1))))))), s(z))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20440, 20438])).
% 4.14/4.39 tff(20442,plain,
% 4.14/4.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(20443,plain,
% 4.14/4.39 (((~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1)))))))))) <=> ((~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(20444,plain,
% 4.14/4.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1)))))))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20443])).
% 4.14/4.39 tff(20445,plain,
% 4.14/4.39 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.39 inference(transitivity,[status(thm)],[20444, 20442])).
% 4.14/4.39 tff(20446,plain,
% 4.14/4.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))))),
% 4.14/4.39 inference(quant_inst,[status(thm)],[])).
% 4.14/4.39 tff(20447,plain,
% 4.14/4.39 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(elem!1))))), s(z))) | (~r(s(s(s(s(s(s(s(elem!1))))))), s(z))) | (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20446, 20445])).
% 4.14/4.39 tff(20448,plain,
% 4.14/4.39 (~r(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20447, 82, 20441, 20436])).
% 4.14/4.39 tff(20449,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20448, 20433])).
% 4.14/4.39 tff(20450,plain,((~r(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (s(z) = elem!1) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (z = elem!1) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20451,plain,
% 4.14/4.39 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20450, 691, 17327, 210, 294, 1929, 233, 1731, 714, 405, 175, 108, 1653, 2257, 1294])).
% 4.14/4.39 tff(20452,plain,
% 4.14/4.39 (b(elem!1, s(s(elem!1)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[321, 20451, 137])).
% 4.14/4.39 tff(20453,plain,
% 4.14/4.39 (b(elem!1, s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[819, 8267, 697])).
% 4.14/4.39 tff(20454,plain,
% 4.14/4.39 (b(elem!1, s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[252, 244, 7156])).
% 4.14/4.39 tff(20455,plain,
% 4.14/4.39 (b(s(elem!1), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[312, 304, 306])).
% 4.14/4.39 tff(20456,plain,
% 4.14/4.39 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[13508, 20455, 17327, 20454, 1929])).
% 4.14/4.39 tff(20457,plain,
% 4.14/4.39 (r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1515, 20456, 215])).
% 4.14/4.39 tff(20458,plain,
% 4.14/4.39 (~b(s(elem!1), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[13089, 20455, 20454, 20453, 8269])).
% 4.14/4.39 tff(20459,plain,
% 4.14/4.39 (r(s(elem!1), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2070, 20458, 1917])).
% 4.14/4.39 tff(20460,plain,
% 4.14/4.39 (~r(s(z), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[3055, 20459, 20457])).
% 4.14/4.39 tff(20461,plain,
% 4.14/4.39 (b(s(z), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1870, 20460])).
% 4.14/4.39 tff(20462,plain,
% 4.14/4.39 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[17387, 20461, 1929, 8269, 20453])).
% 4.14/4.39 tff(20463,plain,
% 4.14/4.39 (~r(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[17335, 20461, 747, 2582, 762, 8268, 8267, 1271])).
% 4.14/4.39 tff(20464,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1990, 20463, 20462])).
% 4.14/4.39 tff(20465,plain,((~r(z, elem!1)) | (~b(s(z), s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1) | (~b(elem!1, s(s(elem!1)))) | (s(s(s(elem!1))) = elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (s(elem!1) = s(z)) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (s(z) = elem!1) | (~r(z, s(elem!1))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20466,plain,
% 4.14/4.39 (~r(z, elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20465, 20452, 2582, 19702, 1271, 1929, 3114, 210, 294, 691, 233, 1731])).
% 4.14/4.39 tff(20467,plain,
% 4.14/4.39 (b(z, elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[353, 20466, 714])).
% 4.14/4.39 tff(20468,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[8965, 20230, 20228, 762, 1021, 1131])).
% 4.14/4.39 tff(20469,plain,((~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20470,plain,
% 4.14/4.39 (~b(elem!1, z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20469, 20452, 20467, 2257, 1294, 17327, 1929])).
% 4.14/4.39 tff(20471,plain,
% 4.14/4.39 (r(elem!1, z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[846, 20470, 1619])).
% 4.14/4.39 tff(20472,plain,
% 4.14/4.39 (~r(elem!1, s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[809, 82, 20471, 405])).
% 4.14/4.39 tff(20473,plain,
% 4.14/4.39 (b(elem!1, s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[819, 20472, 697])).
% 4.14/4.39 tff(20474,plain,
% 4.14/4.39 (~r(s(z), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[826, 82, 20471, 405])).
% 4.14/4.39 tff(20475,plain,
% 4.14/4.39 (b(s(z), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[701, 20474, 691])).
% 4.14/4.39 tff(20476,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(20477,plain,
% 4.14/4.39 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(20478,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20477])).
% 4.14/4.39 tff(20479,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.39 inference(transitivity,[status(thm)],[20478, 20476])).
% 4.14/4.39 tff(20480,plain,
% 4.14/4.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(elem!1))))))),
% 4.14/4.39 inference(quant_inst,[status(thm)],[])).
% 4.14/4.39 tff(20481,plain,
% 4.14/4.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1))))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 4.14/4.39 tff(20482,plain,
% 4.14/4.39 ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(z)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20481, 338, 20467, 17327, 20452, 19702])).
% 4.14/4.39 tff(20483,plain,
% 4.14/4.39 (~b(z, s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20482, 20473])).
% 4.14/4.39 tff(20484,plain,
% 4.14/4.39 (r(z, s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1373, 20483])).
% 4.14/4.39 tff(20485,plain,
% 4.14/4.39 (~r(s(z), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[5440, 20484, 405])).
% 4.14/4.39 tff(20486,plain,
% 4.14/4.39 (b(s(z), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1870, 20485])).
% 4.14/4.39 tff(20487,plain,
% 4.14/4.39 ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(z)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[5147, 338, 20467, 17327, 20452, 19702])).
% 4.14/4.39 tff(20488,plain,
% 4.14/4.39 (~b(s(s(s(elem!1))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20487, 20473])).
% 4.14/4.39 tff(20489,plain,
% 4.14/4.39 (r(s(s(s(elem!1))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1387, 20488])).
% 4.14/4.39 tff(20490,plain,
% 4.14/4.39 (~r(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2599, 20489, 405])).
% 4.14/4.39 tff(20491,plain,
% 4.14/4.39 (b(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1990, 20490])).
% 4.14/4.39 tff(20492,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[17387, 20491, 20486, 1929, 20475, 20473])).
% 4.14/4.39 tff(20493,plain,((s(z) = elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (~r(s(z), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (z = elem!1) | r(s(s(s(elem!1))), elem!1) | (s(s(s(elem!1))) = elem!1) | (~r(z, s(elem!1))) | (~r(z, s(z))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20494,plain,
% 4.14/4.39 (s(z) = elem!1),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20493, 20219, 405, 2257, 1294, 714, 20217, 1271, 233, 1731, 137, 175, 108, 1653])).
% 4.14/4.39 tff(20495,plain,
% 4.14/4.39 (s(s(z)) = s(elem!1)),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20494])).
% 4.14/4.39 tff(20496,plain,
% 4.14/4.39 (s(s(s(z))) = s(s(elem!1))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20495])).
% 4.14/4.39 tff(20497,plain,
% 4.14/4.39 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20496])).
% 4.14/4.39 tff(20498,plain,
% 4.14/4.39 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(z))), elem!1)),
% 4.14/4.39 inference(symmetry,[status(thm)],[20497])).
% 4.14/4.39 tff(20499,plain,
% 4.14/4.39 (r(s(s(s(z))), elem!1)),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20216, 20498])).
% 4.14/4.39 tff(20500,plain,
% 4.14/4.39 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20494])).
% 4.14/4.39 tff(20501,plain,
% 4.14/4.39 ((~r(s(s(s(z))), s(z))) <=> (~r(s(s(s(z))), elem!1))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20500])).
% 4.14/4.39 tff(20502,plain,
% 4.14/4.39 (~r(s(s(s(z))), elem!1)),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[19445, 20501])).
% 4.14/4.39 tff(20503,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20502, 20499])).
% 4.14/4.39 tff(20504,plain,((~r(z, s(elem!1))) | r(s(s(s(z))), s(z)) | (~r(s(z), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (z = elem!1) | (s(s(s(elem!1))) = elem!1) | (~r(z, s(z))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20505,plain,
% 4.14/4.39 (~r(z, s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20504, 19906, 405, 2257, 1294, 714, 19445, 1731, 137, 175, 108, 1653])).
% 4.14/4.39 tff(20506,plain,
% 4.14/4.39 (b(z, s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1615, 20505])).
% 4.14/4.39 tff(20507,plain,
% 4.14/4.39 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.14/4.39 inference(monotonicity,[status(thm)],[19879])).
% 4.14/4.39 tff(20508,plain,
% 4.14/4.39 ((~r(s(s(s(z))), elem!1)) <=> (~r(s(s(elem!1)), elem!1))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20507])).
% 4.14/4.39 tff(20509,plain,
% 4.14/4.39 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.14/4.39 inference(monotonicity,[status(thm)],[19862])).
% 4.14/4.39 tff(20510,plain,
% 4.14/4.39 ((~r(s(s(s(z))), s(z))) <=> (~r(s(s(s(z))), elem!1))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20509])).
% 4.14/4.39 tff(20511,plain,
% 4.14/4.39 (~r(s(s(s(z))), elem!1)),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[19445, 20510])).
% 4.14/4.39 tff(20512,plain,
% 4.14/4.39 (~r(s(s(elem!1)), elem!1)),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20511, 20508])).
% 4.14/4.39 tff(20513,plain,
% 4.14/4.39 (r(s(z), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[19862])).
% 4.14/4.39 tff(20514,plain,
% 4.14/4.39 ((~r(s(z), s(s(elem!1)))) <=> (~r(elem!1, s(s(elem!1))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20513])).
% 4.14/4.39 tff(20515,plain,
% 4.14/4.39 (~r(elem!1, s(s(elem!1)))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[19701, 20514])).
% 4.14/4.39 tff(20516,plain,
% 4.14/4.39 (b(s(s(elem!1)), elem!1)),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[19892, 19890])).
% 4.14/4.39 tff(20517,plain,
% 4.14/4.39 (~b(s(elem!1), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[6306, 20516, 19884, 19904, 19886, 2257, 218, 19882, 20506])).
% 4.14/4.39 tff(20518,plain,
% 4.14/4.39 (r(s(elem!1), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1812, 20517])).
% 4.14/4.39 tff(20519,plain,
% 4.14/4.39 (~r(s(elem!1), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2764, 20518, 19876])).
% 4.14/4.39 tff(20520,plain,
% 4.14/4.39 (b(s(elem!1), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[312, 20519, 294])).
% 4.14/4.39 tff(20521,plain,
% 4.14/4.39 (~b(s(s(elem!1)), s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[346, 20520, 137, 20515, 20512, 19886])).
% 4.14/4.39 tff(20522,plain,
% 4.14/4.39 (r(s(s(elem!1)), s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[277, 20521, 225])).
% 4.14/4.39 tff(20523,plain,
% 4.14/4.39 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2048, 20522, 1294])).
% 4.14/4.39 tff(20524,plain,
% 4.14/4.39 (b(s(s(s(elem!1))), s(elem!1))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1971, 20523, 218])).
% 4.14/4.39 tff(20525,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1603, 338, 20524, 19884, 19882, 20506, 19904])).
% 4.14/4.39 tff(20526,plain,(b(elem!1, s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(z), z)) | (z = elem!1) | r(s(s(s(z))), s(z)) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20527,plain,
% 4.14/4.39 (b(elem!1, s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20526, 1653, 137, 2257, 405, 714, 19445, 1731, 175, 108, 1294])).
% 4.14/4.39 tff(20528,plain,
% 4.14/4.39 (~r(s(s(s(elem!1))), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[19747, 691, 405, 19717, 137, 19702, 714, 1731, 1294])).
% 4.14/4.39 tff(20529,plain,
% 4.14/4.39 (b(s(s(s(elem!1))), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[19858, 691, 175, 405, 108, 1731, 19678, 294, 210, 2257, 19717, 714, 19674, 20528])).
% 4.14/4.39 tff(20530,plain,
% 4.14/4.39 (~b(elem!1, s(s(elem!1)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20469, 1131, 2636, 2257, 1294, 1021, 1929])).
% 4.14/4.39 tff(20531,plain,
% 4.14/4.39 (r(elem!1, s(s(elem!1)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[321, 20530, 137])).
% 4.14/4.39 tff(20532,plain,
% 4.14/4.39 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2840, 82, 20531, 1653])).
% 4.14/4.39 tff(20533,plain,
% 4.14/4.39 (~r(s(s(s(s(elem!1)))), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[16416, 82, 20531, 1653])).
% 4.14/4.39 tff(20534,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20306, 20533, 20532, 555, 175, 3301, 1929, 1131, 108, 405, 691, 1021, 2636, 19674, 19678, 1653, 2257, 1294])).
% 4.14/4.39 tff(20535,plain,((~b(elem!1, z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(elem!1))) = s(s(s(z)))) | (~b(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (s(z) = elem!1) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20536,plain,
% 4.14/4.39 (~b(elem!1, z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20535, 1021, 175, 3301, 1929, 108, 405, 691, 555, 2636, 1653, 2257, 1294, 137])).
% 4.14/4.39 tff(20537,plain,
% 4.14/4.39 (r(elem!1, z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[846, 20536, 719])).
% 4.14/4.39 tff(20538,plain,
% 4.14/4.39 (~r(elem!1, s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[809, 82, 20537, 405])).
% 4.14/4.39 tff(20539,plain,
% 4.14/4.39 (b(elem!1, s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[819, 20538, 697])).
% 4.14/4.39 tff(20540,plain,
% 4.14/4.39 (~r(s(z), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[826, 82, 20537, 405])).
% 4.14/4.39 tff(20541,plain,
% 4.14/4.39 (b(s(z), elem!1)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[701, 20540, 691])).
% 4.14/4.39 tff(20542,plain,
% 4.14/4.39 (~b(s(s(s(elem!1))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[5147, 338, 1021, 2636, 762, 747, 831])).
% 4.14/4.39 tff(20543,plain,
% 4.14/4.39 (r(s(s(s(elem!1))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1387, 20542])).
% 4.14/4.39 tff(20544,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(20545,plain,
% 4.14/4.39 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(20546,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20545])).
% 4.14/4.39 tff(20547,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.14/4.39 inference(transitivity,[status(thm)],[20546, 20544])).
% 4.14/4.39 tff(20548,plain,
% 4.14/4.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 4.14/4.39 inference(quant_inst,[status(thm)],[])).
% 4.14/4.39 tff(20549,plain,
% 4.14/4.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[20548, 20547])).
% 4.14/4.39 tff(20550,plain,
% 4.14/4.39 (~b(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20549, 338, 2636, 762, 706, 747, 831])).
% 4.14/4.39 tff(20551,plain,
% 4.14/4.39 (r(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1990, 20550])).
% 4.14/4.39 tff(20552,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2599, 20551, 20543, 405])).
% 4.14/4.39 tff(20553,plain,((~b(elem!1, s(s(elem!1)))) | (~r(s(z), z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20554,plain,
% 4.14/4.39 (~b(elem!1, s(s(elem!1)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20553, 20541, 2636, 405, 19702, 20539, 1021])).
% 4.14/4.39 tff(20555,plain,
% 4.14/4.39 (r(elem!1, s(s(elem!1)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[321, 20554, 137])).
% 4.14/4.39 tff(20556,plain,
% 4.14/4.39 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2840, 82, 20555, 1653])).
% 4.14/4.39 tff(20557,plain,
% 4.14/4.39 (~r(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2599, 1301, 405])).
% 4.14/4.39 tff(20558,plain,
% 4.14/4.39 (b(s(s(s(elem!1))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1990, 20557])).
% 4.14/4.39 tff(20559,plain,
% 4.14/4.39 (~r(s(z), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[11137, 1301, 405])).
% 4.14/4.39 tff(20560,plain,
% 4.14/4.39 (b(s(z), s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1870, 20559])).
% 4.14/4.39 tff(20561,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[17059, 20560, 20558, 1929, 706, 2636])).
% 4.14/4.39 tff(20562,plain,((~r(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(20563,plain,
% 4.14/4.39 (~r(s(s(s(elem!1))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20562, 20541, 1929, 2636, 405])).
% 4.14/4.39 tff(20564,plain,
% 4.14/4.39 (b(s(s(s(elem!1))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1387, 20563])).
% 4.14/4.39 tff(20565,plain,
% 4.14/4.39 ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(s(elem!1))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20237, 338, 1021, 1929, 2636, 19674])).
% 4.14/4.39 tff(20566,plain,
% 4.14/4.39 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[20565, 20564])).
% 4.14/4.39 tff(20567,plain,
% 4.14/4.39 (elem!1 = s(s(s(s(elem!1))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[2297, 20566, 20556])).
% 4.14/4.39 tff(20568,plain,
% 4.14/4.39 (s(elem!1) = s(s(s(s(s(elem!1)))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20567])).
% 4.14/4.39 tff(20569,plain,
% 4.14/4.39 (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20568])).
% 4.14/4.39 tff(20570,plain,
% 4.14/4.39 (s(s(s(elem!1))) = s(s(s(s(s(s(s(elem!1)))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20569])).
% 4.14/4.39 tff(20571,plain,
% 4.14/4.39 (s(s(s(s(s(s(s(elem!1))))))) = s(s(s(elem!1)))),
% 4.14/4.39 inference(symmetry,[status(thm)],[20570])).
% 4.14/4.39 tff(20572,plain,
% 4.14/4.39 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20571])).
% 4.14/4.39 tff(20573,plain,
% 4.14/4.39 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.39 inference(symmetry,[status(thm)],[20572])).
% 4.14/4.39 tff(20574,plain,
% 4.14/4.39 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[19674, 20573])).
% 4.14/4.39 tff(20575,plain,
% 4.14/4.39 (b(s(s(s(s(s(s(s(elem!1))))))), z) <=> b(s(s(s(elem!1))), z)),
% 4.14/4.39 inference(monotonicity,[status(thm)],[20571])).
% 4.14/4.40 tff(20576,plain,
% 4.14/4.40 (b(s(s(s(elem!1))), z) <=> b(s(s(s(s(s(s(s(elem!1))))))), z)),
% 4.14/4.40 inference(symmetry,[status(thm)],[20575])).
% 4.14/4.40 tff(20577,plain,
% 4.14/4.40 (b(s(s(s(s(s(s(s(elem!1))))))), z)),
% 4.14/4.40 inference(modus_ponens,[status(thm)],[20564, 20576])).
% 4.14/4.40 tff(20578,plain,
% 4.14/4.40 (b(z, s(s(s(s(s(s(s(elem!1)))))))) <=> b(z, s(s(s(elem!1))))),
% 4.14/4.40 inference(monotonicity,[status(thm)],[20571])).
% 4.14/4.40 tff(20579,plain,
% 4.14/4.40 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.40 inference(symmetry,[status(thm)],[20578])).
% 4.14/4.40 tff(20580,plain,
% 4.14/4.40 (~r(s(s(elem!1)), z)),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[17270, 20555, 20537])).
% 4.14/4.40 tff(20581,plain,
% 4.14/4.40 (b(s(s(elem!1)), z)),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[800, 20580])).
% 4.14/4.40 tff(20582,plain,
% 4.14/4.40 (~r(s(s(elem!1)), s(elem!1))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[2715, 235, 279])).
% 4.14/4.40 tff(20583,plain,
% 4.14/4.40 (b(s(s(elem!1)), s(elem!1))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[277, 20582, 229])).
% 4.14/4.40 tff(20584,plain,
% 4.14/4.40 ($false),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[9365, 20583, 5189, 5180, 878, 8722])).
% 4.14/4.40 tff(20585,plain,((~r(elem!1, s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.40 tff(20586,plain,
% 4.14/4.40 (~r(elem!1, s(elem!1))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[20585, 20581, 20537, 225, 20555, 19717])).
% 4.14/4.40 tff(20587,plain,
% 4.14/4.40 (b(elem!1, s(elem!1))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[252, 20586, 232])).
% 4.14/4.40 tff(20588,plain,
% 4.14/4.40 (b(z, elem!1) <=> b(z, s(s(s(s(elem!1)))))),
% 4.14/4.40 inference(monotonicity,[status(thm)],[20567])).
% 4.14/4.40 tff(20589,plain,
% 4.14/4.40 (b(z, s(s(s(s(elem!1)))))),
% 4.14/4.40 inference(modus_ponens,[status(thm)],[1021, 20588])).
% 4.14/4.40 tff(20590,plain,
% 4.14/4.40 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[20349, 20589, 1929, 20564, 20587, 2636, 20567])).
% 4.14/4.40 tff(20591,plain,
% 4.14/4.40 (r(s(elem!1), s(s(s(elem!1))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[1515, 20590, 210])).
% 4.14/4.40 tff(20592,plain,
% 4.14/4.40 (~r(z, s(s(s(elem!1))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[19763, 20591, 2257, 225, 19717])).
% 4.14/4.40 tff(20593,plain,
% 4.14/4.40 (b(z, s(s(s(elem!1))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[1373, 20592])).
% 4.14/4.40 tff(20594,plain,
% 4.14/4.40 (b(z, s(s(s(s(s(s(s(elem!1))))))))),
% 4.14/4.40 inference(modus_ponens,[status(thm)],[20593, 20579])).
% 4.14/4.40 tff(20595,plain,
% 4.14/4.40 (b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.14/4.40 inference(monotonicity,[status(thm)],[20571])).
% 4.14/4.40 tff(20596,plain,
% 4.14/4.40 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))),
% 4.14/4.40 inference(symmetry,[status(thm)],[20595])).
% 4.14/4.40 tff(20597,plain,
% 4.14/4.40 (b(s(s(s(s(s(s(s(elem!1))))))), s(s(s(s(elem!1)))))),
% 4.14/4.40 inference(modus_ponens,[status(thm)],[19678, 20596])).
% 4.14/4.40 tff(20598,plain,
% 4.14/4.40 ((~b(s(s(s(s(s(s(s(elem!1))))))), z)) | (~b(z, s(s(s(s(s(s(s(elem!1))))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(s(elem!1)))))))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[20387, 338, 20589, 20597])).
% 4.14/4.40 tff(20599,plain,
% 4.14/4.40 ($false),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[20598, 20594, 20577, 20574])).
% 4.14/4.40 tff(20600,plain,((~b(z, elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(z), z)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (s(z) = elem!1) | (elem!1 = z) | (~b(s(s(s(s(z)))), z)) | (s(s(s(elem!1))) = s(s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.40 tff(20601,plain,
% 4.14/4.40 (~b(z, elem!1)),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[20600, 20529, 20527, 2257, 405, 1653, 137, 691, 1619, 175, 3122, 108, 2360, 1294])).
% 4.14/4.40 tff(20602,plain,
% 4.14/4.40 (~r(z, s(elem!1))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[20504, 1271, 405, 2257, 1294, 714, 19445, 1731, 137, 175, 108, 1653])).
% 4.14/4.40 tff(20603,plain,
% 4.14/4.40 (r(z, elem!1)),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[353, 20601, 714])).
% 4.14/4.40 tff(20604,plain,
% 4.14/4.40 (~r(elem!1, s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[17319, 1353, 2636, 1294, 1929, 719, 234, 7060, 197])).
% 4.24/4.40 tff(20605,plain,
% 4.24/4.40 (b(elem!1, s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[321, 20604, 137])).
% 4.24/4.40 tff(20606,plain,
% 4.24/4.40 (~r(s(s(s(elem!1))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[17335, 20605, 747, 2582, 20315, 176, 813, 1271])).
% 4.24/4.40 tff(20607,plain,
% 4.24/4.40 ($false),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1990, 20606, 20328])).
% 4.24/4.40 tff(20608,plain,((~r(z, s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))) | r(s(s(s(elem!1))), elem!1) | r(s(z), elem!1) | r(elem!1, s(z)) | (s(s(s(elem!1))) = elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(elem!1, s(z))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = z) | (~r(z, elem!1)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(20609,plain,
% 4.24/4.40 (~r(z, s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20608, 8268, 2582, 19702, 8267, 1271, 1929, 8269, 20453, 137, 2636, 1294, 719, 234, 405])).
% 4.24/4.40 tff(20610,plain,
% 4.24/4.40 (b(z, s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1373, 20609])).
% 4.24/4.40 tff(20611,plain,
% 4.24/4.40 (~r(s(s(s(elem!1))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[17067, 234, 405, 1929, 2636, 691])).
% 4.24/4.40 tff(20612,plain,
% 4.24/4.40 (b(s(s(s(elem!1))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1387, 20611])).
% 4.24/4.40 tff(20613,plain,
% 4.24/4.40 (~b(elem!1, z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[5201, 20610, 2636, 1929, 20612])).
% 4.24/4.40 tff(20614,plain,
% 4.24/4.40 (r(elem!1, z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[846, 20613, 719])).
% 4.24/4.40 tff(20615,plain,
% 4.24/4.40 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[19536, 20614, 2636, 20612, 1929, 232, 294, 20610, 234])).
% 4.24/4.40 tff(20616,plain,
% 4.24/4.40 (r(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1515, 20615, 210])).
% 4.24/4.40 tff(20617,plain,
% 4.24/4.40 (~r(s(elem!1), s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[19628, 82, 20616, 2257])).
% 4.24/4.40 tff(20618,plain,
% 4.24/4.40 (~r(s(s(elem!1)), s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2627, 82, 20616, 2257])).
% 4.24/4.40 tff(20619,plain,
% 4.24/4.40 (b(s(s(elem!1)), s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[277, 20618, 225])).
% 4.24/4.40 tff(20620,plain,
% 4.24/4.40 (~b(s(elem!1), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[9332, 20619, 1597, 20617, 19717, 6853])).
% 4.24/4.40 tff(20621,plain,
% 4.24/4.40 (r(s(elem!1), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1812, 20620])).
% 4.24/4.40 tff(20622,plain,
% 4.24/4.40 (~r(s(elem!1), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2764, 20621, 234])).
% 4.24/4.40 tff(20623,plain,
% 4.24/4.40 (b(s(elem!1), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[312, 20622, 294])).
% 4.24/4.40 tff(20624,plain,
% 4.24/4.40 (~r(elem!1, s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[5187, 20621, 20614])).
% 4.24/4.40 tff(20625,plain,
% 4.24/4.40 (b(elem!1, s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[252, 20624, 232])).
% 4.24/4.40 tff(20626,plain,
% 4.24/4.40 (~b(s(elem!1), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[13089, 20625, 20453, 20623, 8269])).
% 4.24/4.40 tff(20627,plain,
% 4.24/4.40 (r(s(elem!1), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2070, 20626, 1917])).
% 4.24/4.40 tff(20628,plain,
% 4.24/4.40 (~r(s(z), s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[3055, 20627, 20616])).
% 4.24/4.40 tff(20629,plain,
% 4.24/4.40 (b(s(z), s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1870, 20628])).
% 4.24/4.40 tff(20630,plain,
% 4.24/4.40 ((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(z), s(s(s(elem!1)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20321, 338, 1929, 2636, 19674, 8269])).
% 4.24/4.40 tff(20631,plain,
% 4.24/4.40 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20630, 20629])).
% 4.24/4.40 tff(20632,plain,
% 4.24/4.40 (~b(s(s(s(elem!1))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[17387, 20629, 1929, 8269, 20453])).
% 4.24/4.40 tff(20633,plain,
% 4.24/4.40 (r(s(s(s(elem!1))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1990, 20632])).
% 4.24/4.40 tff(20634,plain,
% 4.24/4.40 (~b(elem!1, s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[17335, 20633, 19702, 2582, 20629, 8268, 8267, 1271])).
% 4.24/4.40 tff(20635,plain,
% 4.24/4.40 (r(elem!1, s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[321, 20634, 137])).
% 4.24/4.40 tff(20636,plain,
% 4.24/4.40 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2840, 82, 20635, 1653])).
% 4.24/4.40 tff(20637,plain,
% 4.24/4.40 (elem!1 = s(s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2297, 20636, 20631])).
% 4.24/4.40 tff(20638,plain,
% 4.24/4.40 (s(elem!1) = s(s(s(s(s(elem!1)))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20637])).
% 4.24/4.40 tff(20639,plain,
% 4.24/4.40 (s(s(s(s(s(elem!1))))) = s(elem!1)),
% 4.24/4.40 inference(symmetry,[status(thm)],[20638])).
% 4.24/4.40 tff(20640,plain,
% 4.24/4.40 (b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1))))))) <=> b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20639])).
% 4.24/4.40 tff(20641,plain,
% 4.24/4.40 (b(s(elem!1), s(s(s(s(s(s(elem!1))))))) <=> b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(symmetry,[status(thm)],[20640])).
% 4.24/4.40 tff(20642,plain,
% 4.24/4.40 (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20638])).
% 4.24/4.40 tff(20643,plain,
% 4.24/4.40 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20642])).
% 4.24/4.40 tff(20644,plain,
% 4.24/4.40 (b(s(elem!1), s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1827, 21, 20617, 6853])).
% 4.24/4.40 tff(20645,plain,
% 4.24/4.40 (b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20644, 20643])).
% 4.24/4.40 tff(20646,plain,
% 4.24/4.40 (b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20645, 20641])).
% 4.24/4.40 tff(20647,plain,
% 4.24/4.40 (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))),
% 4.24/4.40 inference(symmetry,[status(thm)],[20642])).
% 4.24/4.40 tff(20648,plain,
% 4.24/4.40 (b(z, s(s(s(s(s(s(elem!1))))))) <=> b(z, s(s(elem!1)))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20647])).
% 4.24/4.40 tff(20649,plain,
% 4.24/4.40 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(symmetry,[status(thm)],[20648])).
% 4.24/4.40 tff(20650,plain,
% 4.24/4.40 (b(z, s(s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[19717, 20649])).
% 4.24/4.40 tff(20651,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1)))))) <=> b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20639])).
% 4.24/4.40 tff(20652,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1)) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))),
% 4.24/4.40 inference(symmetry,[status(thm)],[20651])).
% 4.24/4.40 tff(20653,plain,
% 4.24/4.40 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20642])).
% 4.24/4.40 tff(20654,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20619, 20653])).
% 4.24/4.40 tff(20655,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20654, 20652])).
% 4.24/4.40 tff(20656,plain,
% 4.24/4.40 (b(z, s(s(s(s(s(elem!1)))))) <=> b(z, s(elem!1))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20639])).
% 4.24/4.40 tff(20657,plain,
% 4.24/4.40 (b(z, s(elem!1)) <=> b(z, s(s(s(s(s(elem!1))))))),
% 4.24/4.40 inference(symmetry,[status(thm)],[20656])).
% 4.24/4.40 tff(20658,plain,
% 4.24/4.40 (b(z, s(s(s(s(s(elem!1))))))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[1597, 20657])).
% 4.24/4.40 tff(20659,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(elem!1)))))), z) <=> b(s(s(elem!1)), z)),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20647])).
% 4.24/4.40 tff(20660,plain,
% 4.24/4.40 (b(s(s(elem!1)), z) <=> b(s(s(s(s(s(s(elem!1)))))), z)),
% 4.24/4.40 inference(symmetry,[status(thm)],[20659])).
% 4.24/4.40 tff(20661,plain,
% 4.24/4.40 (~r(s(s(elem!1)), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[17270, 20635, 20614])).
% 4.24/4.40 tff(20662,plain,
% 4.24/4.40 (b(s(s(elem!1)), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[800, 20661])).
% 4.24/4.40 tff(20663,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(elem!1)))))), z)),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20662, 20660])).
% 4.24/4.40 tff(20664,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(20665,plain,
% 4.24/4.40 (((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(elem!1)))))))) <=> ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(20666,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1)))))))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20665])).
% 4.24/4.40 tff(20667,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))))),
% 4.24/4.40 inference(transitivity,[status(thm)],[20666, 20664])).
% 4.24/4.40 tff(20668,plain,
% 4.24/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(elem!1))))))))),
% 4.24/4.40 inference(quant_inst,[status(thm)],[])).
% 4.24/4.40 tff(20669,plain,
% 4.24/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20668, 20667])).
% 4.24/4.40 tff(20670,plain,
% 4.24/4.40 ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(elem!1))))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(s(elem!1)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20669, 338])).
% 4.24/4.40 tff(20671,plain,
% 4.24/4.40 ($false),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20670, 20663, 20658, 20655, 20650, 20646])).
% 4.24/4.40 tff(20672,plain,((~r(z, elem!1)) | (~b(z, s(elem!1))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (s(s(s(elem!1))) = elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (elem!1 = z) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), z)) | (s(z) = elem!1) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(20673,plain,
% 4.24/4.40 (~b(z, s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20672, 1271, 1653, 137, 20528, 20603, 20527, 20529, 3114, 2257, 1619, 1294, 405, 691, 1731])).
% 4.24/4.40 tff(20674,plain,
% 4.24/4.40 ($false),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1615, 20673, 20602])).
% 4.24/4.40 tff(20675,plain,((s(s(s(elem!1))) = elem!1) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), z)) | (s(z) = elem!1) | (~r(z, s(z))) | (z = elem!1) | r(s(s(s(z))), s(z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(20676,plain,
% 4.24/4.40 (s(s(s(elem!1))) = elem!1),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20675, 691, 137, 2257, 1294, 405, 1653, 1731, 714, 19445, 175, 108])).
% 4.24/4.40 tff(20677,plain,
% 4.24/4.40 (~b(z, s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2149, 20676, 20601])).
% 4.24/4.40 tff(20678,plain,
% 4.24/4.40 (r(z, s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1373, 20677])).
% 4.24/4.40 tff(20679,plain,
% 4.24/4.40 (~r(s(z), s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[5440, 20678, 405])).
% 4.24/4.40 tff(20680,plain,
% 4.24/4.40 (b(s(z), s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1870, 20679])).
% 4.24/4.40 tff(20681,plain,
% 4.24/4.40 (~r(s(z), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[3145, 20603, 1731])).
% 4.24/4.40 tff(20682,plain,
% 4.24/4.40 (b(s(z), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[701, 20681, 691])).
% 4.24/4.40 tff(20683,plain,
% 4.24/4.40 (~r(elem!1, s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[17319, 20678, 20529, 1294, 20527, 1619, 20603, 7060, 197])).
% 4.24/4.40 tff(20684,plain,
% 4.24/4.40 (b(elem!1, s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[321, 20683, 137])).
% 4.24/4.40 tff(20685,plain,
% 4.24/4.40 (~r(s(s(s(elem!1))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[17067, 20603, 405, 20527, 20529, 691])).
% 4.24/4.40 tff(20686,plain,
% 4.24/4.40 (b(s(s(s(elem!1))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1387, 20685])).
% 4.24/4.40 tff(20687,plain,
% 4.24/4.40 (elem!1 = s(s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[3379, 20676])).
% 4.24/4.40 tff(20688,plain,
% 4.24/4.40 (b(elem!1, z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[3979, 20687, 20686])).
% 4.24/4.40 tff(20689,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(20690,plain,
% 4.24/4.40 (((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1)))))) <=> ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(20691,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20690])).
% 4.24/4.40 tff(20692,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1)))),
% 4.24/4.40 inference(transitivity,[status(thm)],[20691, 20689])).
% 4.24/4.40 tff(20693,plain,
% 4.24/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(elem!1))))))),
% 4.24/4.40 inference(quant_inst,[status(thm)],[])).
% 4.24/4.40 tff(20694,plain,
% 4.24/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), elem!1))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 4.24/4.40 tff(20695,plain,
% 4.24/4.40 ($false),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20694, 338, 20688, 20529, 20684, 19717, 20682, 20680])).
% 4.24/4.40 tff(20696,plain,((s(z) = elem!1) | (elem!1 = s(s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(z))) | (z = elem!1) | r(s(s(s(z))), s(z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(20697,plain,
% 4.24/4.40 (s(z) = elem!1),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20696, 1653, 1294, 405, 2257, 137, 1731, 714, 19445, 175, 108])).
% 4.24/4.40 tff(20698,plain,
% 4.24/4.40 (r(z, elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1733, 20697, 1731])).
% 4.24/4.40 tff(20699,plain,
% 4.24/4.40 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20697])).
% 4.24/4.40 tff(20700,plain,
% 4.24/4.40 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.24/4.40 inference(transitivity,[status(thm)],[20699, 1254])).
% 4.24/4.40 tff(20701,plain,
% 4.24/4.40 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20700])).
% 4.24/4.40 tff(20702,plain,
% 4.24/4.40 (~(s(s(s(elem!1))) = elem!1)),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[1263, 20701])).
% 4.24/4.40 tff(20703,plain,
% 4.24/4.40 (~r(z, s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20504, 20702, 405, 2257, 1294, 714, 19445, 1731, 137, 175, 108, 1653])).
% 4.24/4.40 tff(20704,plain,
% 4.24/4.40 (b(z, s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1615, 20703])).
% 4.24/4.40 tff(20705,plain,
% 4.24/4.40 (s(s(z)) = s(elem!1)),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20697])).
% 4.24/4.40 tff(20706,plain,
% 4.24/4.40 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20705])).
% 4.24/4.40 tff(20707,plain,
% 4.24/4.40 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20706])).
% 4.24/4.40 tff(20708,plain,
% 4.24/4.40 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20707])).
% 4.24/4.40 tff(20709,plain,
% 4.24/4.40 (b(s(s(s(elem!1))), z)),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[175, 20708])).
% 4.24/4.40 tff(20710,plain,
% 4.24/4.40 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1412, 20697])).
% 4.24/4.40 tff(20711,plain,
% 4.24/4.40 (b(z, s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2141, 20710, 2360])).
% 4.24/4.40 tff(20712,plain,
% 4.24/4.40 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20706])).
% 4.24/4.40 tff(20713,plain,
% 4.24/4.40 ((~r(s(s(s(z))), elem!1)) <=> (~r(s(s(elem!1)), elem!1))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20712])).
% 4.24/4.40 tff(20714,plain,
% 4.24/4.40 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20697])).
% 4.24/4.40 tff(20715,plain,
% 4.24/4.40 ((~r(s(s(s(z))), s(z))) <=> (~r(s(s(s(z))), elem!1))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20714])).
% 4.24/4.40 tff(20716,plain,
% 4.24/4.40 (~r(s(s(s(z))), elem!1)),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[19445, 20715])).
% 4.24/4.40 tff(20717,plain,
% 4.24/4.40 (~r(s(s(elem!1)), elem!1)),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20716, 20713])).
% 4.24/4.40 tff(20718,plain,
% 4.24/4.40 (r(elem!1, z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[867, 20697, 405])).
% 4.24/4.40 tff(20719,plain,
% 4.24/4.40 (~r(elem!1, s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[19630, 20698, 2257, 405, 20718, 1619, 19717, 137, 20717, 2360, 20704, 20702, 1294, 20711, 20709])).
% 4.24/4.40 tff(20720,plain,
% 4.24/4.40 (b(elem!1, s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[252, 20719, 232])).
% 4.24/4.40 tff(20721,plain,
% 4.24/4.40 (b(s(s(s(z))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20706])).
% 4.24/4.40 tff(20722,plain,
% 4.24/4.40 (b(s(s(s(z))), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[11879, 20697, 19446])).
% 4.24/4.40 tff(20723,plain,
% 4.24/4.40 (b(s(s(elem!1)), elem!1)),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20722, 20721])).
% 4.24/4.40 tff(20724,plain,
% 4.24/4.40 (r(s(z), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20697])).
% 4.24/4.40 tff(20725,plain,
% 4.24/4.40 ((~r(s(z), s(s(elem!1)))) <=> (~r(elem!1, s(s(elem!1))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20724])).
% 4.24/4.40 tff(20726,plain,
% 4.24/4.40 (~r(elem!1, s(s(elem!1)))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[19701, 20725])).
% 4.24/4.40 tff(20727,plain,
% 4.24/4.40 (~r(s(elem!1), s(s(elem!1)))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[19628, 82, 1502, 2257])).
% 4.24/4.40 tff(20728,plain,
% 4.24/4.40 (b(s(s(elem!1)), s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[277, 17130, 225])).
% 4.24/4.40 tff(20729,plain,
% 4.24/4.40 (~b(s(elem!1), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[9332, 20728, 1597, 20727, 8722, 6853])).
% 4.24/4.40 tff(20730,plain,
% 4.24/4.40 (r(s(elem!1), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1812, 20729])).
% 4.24/4.40 tff(20731,plain,
% 4.24/4.40 (~b(s(elem!1), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[346, 20728, 137, 317, 323, 315])).
% 4.24/4.40 tff(20732,plain,
% 4.24/4.40 (r(s(elem!1), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[312, 20731, 294])).
% 4.24/4.40 tff(20733,plain,
% 4.24/4.40 ($false),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2764, 20732, 20730, 234])).
% 4.24/4.40 tff(20734,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~r(z, elem!1)) | (elem!1 = s(s(elem!1))) | r(elem!1, s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(20735,plain,
% 4.24/4.40 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[20734, 20698, 137, 20726, 20717, 20720, 20704, 19717, 2257])).
% 4.24/4.40 tff(20736,plain,
% 4.24/4.40 (b(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1515, 20735, 210])).
% 4.24/4.40 tff(20737,plain,
% 4.24/4.40 (~b(s(elem!1), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[6306, 20736, 20711, 20723, 20720, 2257, 218, 20709, 20704])).
% 4.24/4.40 tff(20738,plain,
% 4.24/4.40 (r(s(elem!1), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1812, 20737])).
% 4.24/4.40 tff(20739,plain,
% 4.24/4.40 (~r(s(elem!1), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2764, 20738, 20698])).
% 4.24/4.40 tff(20740,plain,
% 4.24/4.40 (b(s(elem!1), elem!1)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[312, 20739, 294])).
% 4.24/4.40 tff(20741,plain,
% 4.24/4.40 (~b(s(s(elem!1)), s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[346, 20740, 137, 20726, 20717, 20720])).
% 4.24/4.40 tff(20742,plain,
% 4.24/4.40 (r(s(s(elem!1)), s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[277, 20741, 225])).
% 4.24/4.40 tff(20743,plain,
% 4.24/4.40 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[2048, 20742, 1294])).
% 4.24/4.40 tff(20744,plain,
% 4.24/4.40 (b(s(s(s(elem!1))), s(elem!1))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1971, 20743, 218])).
% 4.24/4.40 tff(20745,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(20746,plain,
% 4.24/4.40 (((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(20747,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[20746])).
% 4.24/4.40 tff(20748,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.24/4.40 inference(transitivity,[status(thm)],[20747, 20745])).
% 4.24/4.40 tff(20749,plain,
% 4.24/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 4.24/4.40 inference(quant_inst,[status(thm)],[])).
% 4.24/4.40 tff(20750,plain,
% 4.24/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1))),
% 4.24/4.40 inference(modus_ponens,[status(thm)],[20749, 20748])).
% 4.24/4.41 tff(20751,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20750, 338, 20744, 20709, 20527, 20704, 20736, 20740])).
% 4.24/4.41 tff(20752,plain,((~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(z), z)) | (z = elem!1) | r(s(s(s(z))), s(z)) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(20753,plain,
% 4.24/4.41 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20752, 19669, 405, 714, 137, 2257, 19445, 1731, 175, 108])).
% 4.24/4.41 tff(20754,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1651, 20753, 19668, 2119])).
% 4.24/4.41 tff(20755,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (z = elem!1) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | r(s(s(s(z))), s(z)) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~(s(s(s(z))) = s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(20756,plain,
% 4.24/4.41 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20755, 19514, 405, 137, 19498, 19445, 1731, 175, 19635, 19513, 19647, 19639, 19483, 19645, 19511])).
% 4.24/4.41 tff(20757,plain,
% 4.24/4.41 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1011, 20756])).
% 4.24/4.41 tff(20758,plain,
% 4.24/4.41 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20757, 19642])).
% 4.24/4.41 tff(20759,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20760,plain,
% 4.24/4.41 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20761,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[20760])).
% 4.24/4.41 tff(20762,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.24/4.41 inference(transitivity,[status(thm)],[20761, 20759])).
% 4.24/4.41 tff(20763,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(20764,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20763, 20762])).
% 4.24/4.41 tff(20765,plain,
% 4.24/4.41 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20764, 338, 19513, 19647, 19494, 20758, 19639])).
% 4.24/4.41 tff(20766,plain,
% 4.24/4.41 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1651, 20765, 2119])).
% 4.24/4.41 tff(20767,plain,
% 4.24/4.41 (b(s(z), s(s(s(s(elem!1))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[19485])).
% 4.24/4.41 tff(20768,plain,
% 4.24/4.41 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2279, 19639, 19498, 19513, 2119, 19494])).
% 4.24/4.41 tff(20769,plain,
% 4.24/4.41 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1562, 20768, 2181])).
% 4.24/4.41 tff(20770,plain,
% 4.24/4.41 (r(s(s(s(z))), s(s(s(s(elem!1))))) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[19483])).
% 4.24/4.41 tff(20771,plain,
% 4.24/4.41 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(symmetry,[status(thm)],[20770])).
% 4.24/4.41 tff(20772,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20773,plain,
% 4.24/4.41 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20774,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[20773])).
% 4.24/4.41 tff(20775,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.24/4.41 inference(transitivity,[status(thm)],[20774, 20772])).
% 4.24/4.41 tff(20776,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(20777,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20776, 20775])).
% 4.24/4.41 tff(20778,plain,
% 4.24/4.41 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20777, 338, 19513, 19502, 20758, 19516, 19639])).
% 4.24/4.41 tff(20779,plain,
% 4.24/4.41 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1724, 20778, 2120])).
% 4.24/4.41 tff(20780,plain,
% 4.24/4.41 (r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20779, 20771])).
% 4.24/4.41 tff(20781,plain,
% 4.24/4.41 (~r(z, s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1760, 20780, 136])).
% 4.24/4.41 tff(20782,plain,
% 4.24/4.41 (b(z, s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1698, 20781])).
% 4.24/4.41 tff(20783,plain,
% 4.24/4.41 (~b(s(s(s(s(elem!1)))), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2216, 20782, 19502, 19500, 20769])).
% 4.24/4.41 tff(20784,plain,
% 4.24/4.41 (r(s(s(s(s(elem!1)))), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1638, 20783])).
% 4.24/4.41 tff(20785,plain,
% 4.24/4.41 (~r(s(z), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2233, 20784, 405])).
% 4.24/4.41 tff(20786,plain,
% 4.24/4.41 (b(s(z), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2239, 20785])).
% 4.24/4.41 tff(20787,plain,
% 4.24/4.41 (b(elem!1, s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20786, 20767])).
% 4.24/4.41 tff(20788,plain,
% 4.24/4.41 (r(z, elem!1)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1733, 19517, 1731])).
% 4.24/4.41 tff(20789,plain,
% 4.24/4.41 (~r(s(z), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2503, 540, 175, 405, 1731, 19592])).
% 4.24/4.41 tff(20790,plain,
% 4.24/4.41 (b(s(z), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[455, 20789])).
% 4.24/4.41 tff(20791,plain,
% 4.24/4.41 (b(elem!1, s(elem!1))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20790, 19650])).
% 4.24/4.41 tff(20792,plain,
% 4.24/4.41 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[1233, 875])).
% 4.24/4.41 tff(20793,plain,
% 4.24/4.41 ((s(z) = s(s(z))) <=> (elem!1 = s(s(z)))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[19517])).
% 4.24/4.41 tff(20794,plain,
% 4.24/4.41 ((~(s(z) = s(s(z)))) <=> (~(elem!1 = s(s(z))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[20793])).
% 4.24/4.41 tff(20795,plain,
% 4.24/4.41 (~(elem!1 = s(s(z)))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[450, 20794])).
% 4.24/4.41 tff(20796,plain,
% 4.24/4.41 (b(elem!1, s(s(z)))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20790, 19649])).
% 4.24/4.41 tff(20797,plain,
% 4.24/4.41 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[3940, 20796, 3348, 20795, 2381, 3918, 19518, 540])).
% 4.24/4.41 tff(20798,plain,
% 4.24/4.41 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[534, 20797])).
% 4.24/4.41 tff(20799,plain,
% 4.24/4.41 (r(s(elem!1), s(s(elem!1)))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20798, 20792])).
% 4.24/4.41 tff(20800,plain,
% 4.24/4.41 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[9275, 82, 1653, 20799])).
% 4.24/4.41 tff(20801,plain,
% 4.24/4.41 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[11676, 20800, 19545])).
% 4.24/4.41 tff(20802,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[7426, 338, 2303, 315, 314, 1621, 11678])).
% 4.24/4.41 tff(20803,plain,((~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(20804,plain,
% 4.24/4.41 (~b(s(elem!1), elem!1)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20803, 20801, 2303, 20791, 1621])).
% 4.24/4.41 tff(20805,plain,
% 4.24/4.41 (r(s(elem!1), elem!1)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[312, 20804, 306])).
% 4.24/4.41 tff(20806,plain,
% 4.24/4.41 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.24/4.41 inference(monotonicity,[status(thm)],[1425])).
% 4.24/4.41 tff(20807,plain,
% 4.24/4.41 (b(s(s(s(elem!1))), z)),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[175, 20806])).
% 4.24/4.41 tff(20808,plain,
% 4.24/4.41 (b(s(s(s(elem!1))), s(elem!1))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[540, 19660])).
% 4.24/4.41 tff(20809,plain,
% 4.24/4.41 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[875])).
% 4.24/4.41 tff(20810,plain,
% 4.24/4.41 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(z))))),
% 4.24/4.41 inference(symmetry,[status(thm)],[20809])).
% 4.24/4.41 tff(20811,plain,
% 4.24/4.41 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.24/4.41 inference(transitivity,[status(thm)],[20792, 20810])).
% 4.24/4.41 tff(20812,plain,
% 4.24/4.41 (r(s(elem!1), s(s(s(z))))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20798, 20811])).
% 4.24/4.41 tff(20813,assumption,(r(s(elem!1), s(s(s(z))))), introduced(assumption)).
% 4.24/4.41 tff(20814,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[4871, 82, 1815, 426, 20813])).
% 4.24/4.41 tff(20815,plain,((~r(s(s(s(z))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(20816,plain,
% 4.24/4.41 (~r(s(elem!1), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20815, 20812, 426])).
% 4.24/4.41 tff(20817,plain,
% 4.24/4.41 (b(s(elem!1), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1812, 20816])).
% 4.24/4.41 tff(20818,plain,
% 4.24/4.41 (~b(z, s(elem!1))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1804, 20817, 1595, 20808, 20807])).
% 4.24/4.41 tff(20819,plain,
% 4.24/4.41 (r(z, s(elem!1))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1615, 20818])).
% 4.24/4.41 tff(20820,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[303, 20819, 20805, 20788])).
% 4.24/4.41 tff(20821,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (s(elem!1) = elem!1) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~(s(s(s(z))) = s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(20822,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20821, 19500, 294, 20787, 19639, 136, 20766, 19483, 3348, 19495, 19487, 175, 405, 1731])).
% 4.24/4.41 tff(20823,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[68, 20822])).
% 4.24/4.41 tff(20824,plain,
% 4.24/4.41 (~r(s(s(s(z))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2472, 20823, 911])).
% 4.24/4.41 tff(20825,plain,
% 4.24/4.41 (b(s(s(s(z))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[639, 20824])).
% 4.24/4.41 tff(20826,plain,
% 4.24/4.41 (b(s(s(elem!1)), s(s(z)))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20825, 19484])).
% 4.24/4.41 tff(20827,plain,
% 4.24/4.41 (~r(s(z), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[113, 20823, 19635])).
% 4.24/4.41 tff(20828,plain,
% 4.24/4.41 (b(s(z), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[455, 20827])).
% 4.24/4.41 tff(20829,plain,
% 4.24/4.41 (~r(s(s(elem!1)), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[792, 19492, 405])).
% 4.24/4.41 tff(20830,plain,
% 4.24/4.41 (b(s(s(elem!1)), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[784, 20829])).
% 4.24/4.41 tff(20831,plain,
% 4.24/4.41 (~r(s(s(z)), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[464, 20823, 19635])).
% 4.24/4.41 tff(20832,plain,
% 4.24/4.41 (b(s(s(z)), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[472, 20831])).
% 4.24/4.41 tff(20833,plain,
% 4.24/4.41 (~b(s(s(elem!1)), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[11079, 20832, 20830, 19510, 20828])).
% 4.24/4.41 tff(20834,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20833, 20826])).
% 4.24/4.41 tff(20835,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(z, s(z))) | (elem!1 = s(s(elem!1))) | r(s(s(s(z))), s(z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(20836,plain,
% 4.24/4.41 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20835, 651, 175, 405, 1731, 137, 19445, 3348, 370, 129])).
% 4.24/4.41 tff(20837,plain,
% 4.24/4.41 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[689, 20836])).
% 4.24/4.41 tff(20838,plain,
% 4.24/4.41 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20839,plain,
% 4.24/4.41 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(20840,plain,
% 4.24/4.41 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z)))))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20839, 20838])).
% 4.24/4.41 tff(20841,plain,
% 4.24/4.41 (~r(s(z), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20840, 82, 405, 136])).
% 4.24/4.41 tff(20842,plain,
% 4.24/4.41 (b(s(z), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[424, 20841])).
% 4.24/4.41 tff(20843,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[12526, 338, 457, 458, 651, 2911, 539])).
% 4.24/4.41 tff(20844,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(20845,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20844, 20842, 19446, 651, 20837])).
% 4.24/4.41 tff(20846,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[119, 20845])).
% 4.24/4.41 tff(20847,plain,
% 4.24/4.41 (~r(s(z), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20840, 82, 405, 426])).
% 4.24/4.41 tff(20848,plain,
% 4.24/4.41 (b(s(z), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[424, 20847])).
% 4.24/4.41 tff(20849,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20844, 20848, 458, 651, 539])).
% 4.24/4.41 tff(20850,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[119, 20849])).
% 4.24/4.41 tff(20851,plain,
% 4.24/4.41 (~r(z, s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2112, 20850, 1731])).
% 4.24/4.41 tff(20852,plain,
% 4.24/4.41 (b(z, s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[391, 20851])).
% 4.24/4.41 tff(20853,plain,
% 4.24/4.41 (~r(s(z), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2503, 540, 175, 405, 1731, 20852])).
% 4.24/4.41 tff(20854,plain,
% 4.24/4.41 (b(s(z), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[455, 20853])).
% 4.24/4.41 tff(20855,plain,
% 4.24/4.41 (~b(z, s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[659, 540, 458, 539, 651, 175])).
% 4.24/4.41 tff(20856,plain,
% 4.24/4.41 (r(z, s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[563, 20855])).
% 4.24/4.41 tff(20857,plain,
% 4.24/4.41 (~r(s(s(z)), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[2514, 20856, 1731])).
% 4.24/4.41 tff(20858,plain,
% 4.24/4.41 (b(s(s(z)), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[472, 20857])).
% 4.24/4.41 tff(20859,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20860,plain,
% 4.24/4.41 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20861,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[20860])).
% 4.24/4.41 tff(20862,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.24/4.41 inference(transitivity,[status(thm)],[20861, 20859])).
% 4.24/4.41 tff(20863,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(20864,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 4.24/4.41 tff(20865,plain,
% 4.24/4.41 (~b(s(s(s(z))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20864, 338, 20858, 458, 651, 20854, 540])).
% 4.24/4.41 tff(20866,plain,
% 4.24/4.41 (r(s(s(s(z))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[639, 20865])).
% 4.24/4.41 tff(20867,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[646, 82, 426, 20856, 20866])).
% 4.24/4.41 tff(20868,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(20869,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[20868, 651, 19446, 136, 1731, 20837, 175, 405])).
% 4.24/4.41 tff(20870,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[68, 20869])).
% 4.24/4.41 tff(20871,plain,
% 4.24/4.41 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1463, 20870, 20842, 19446, 20846])).
% 4.24/4.41 tff(20872,plain,
% 4.24/4.41 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1011, 20871])).
% 4.24/4.41 tff(20873,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20874,plain,
% 4.24/4.41 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(20875,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[20874])).
% 4.24/4.42 tff(20876,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.42 inference(transitivity,[status(thm)],[20875, 20873])).
% 4.24/4.42 tff(20877,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 4.24/4.42 inference(quant_inst,[status(thm)],[])).
% 4.24/4.42 tff(20878,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.24/4.42 inference(modus_ponens,[status(thm)],[20877, 20876])).
% 4.24/4.42 tff(20879,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20878, 338, 3348, 19446, 20872, 651, 20837, 175])).
% 4.24/4.42 tff(20880,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(z), z)) | (elem!1 = s(s(elem!1))) | r(s(s(s(z))), s(z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(20881,plain,
% 4.24/4.42 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20880, 19114, 175, 1731, 405, 137, 19444, 3348, 129])).
% 4.24/4.42 tff(20882,plain,
% 4.24/4.42 (b(s(s(s(z))), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[437, 19444])).
% 4.24/4.42 tff(20883,plain,
% 4.24/4.42 (~r(z, s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[11465, 16950, 1731])).
% 4.24/4.42 tff(20884,plain,
% 4.24/4.42 (b(z, s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[391, 20883])).
% 4.24/4.42 tff(20885,plain,
% 4.24/4.42 (~r(s(z), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6953, 82, 16950, 370])).
% 4.24/4.42 tff(20886,plain,
% 4.24/4.42 (b(s(z), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[743, 20885])).
% 4.24/4.42 tff(20887,plain,
% 4.24/4.42 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[18423, 871, 62, 458, 20848, 20886, 1208, 16949])).
% 4.24/4.42 tff(20888,plain,
% 4.24/4.42 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[689, 20887])).
% 4.24/4.42 tff(20889,plain,
% 4.24/4.42 (~r(s(s(elem!1)), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1230, 871, 426, 20886, 458, 20848])).
% 4.24/4.42 tff(20890,plain,
% 4.24/4.42 (b(s(s(elem!1)), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[800, 20889])).
% 4.24/4.42 tff(20891,plain,
% 4.24/4.42 (b(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6754, 19357, 871])).
% 4.24/4.42 tff(20892,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[10976, 20891, 175, 3348, 405, 16673, 16542])).
% 4.24/4.42 tff(20893,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1011, 20892])).
% 4.24/4.42 tff(20894,plain,
% 4.24/4.42 (~r(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[90, 71, 72])).
% 4.24/4.42 tff(20895,plain,
% 4.24/4.42 (~b(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6802, 71, 458, 457, 764, 3254, 2911])).
% 4.24/4.42 tff(20896,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[455, 20895, 20894])).
% 4.24/4.42 tff(20897,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(20898,plain,
% 4.24/4.42 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20897, 2911, 457, 764, 3254, 458, 72])).
% 4.24/4.42 tff(20899,plain,
% 4.24/4.42 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[68, 20898])).
% 4.24/4.42 tff(20900,plain,
% 4.24/4.42 (~r(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2503, 20899, 175, 405, 1731, 16673])).
% 4.24/4.42 tff(20901,plain,
% 4.24/4.42 (b(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[455, 20900])).
% 4.24/4.42 tff(20902,plain,
% 4.24/4.42 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6790, 20901, 458, 457, 3254, 764])).
% 4.24/4.42 tff(20903,plain,
% 4.24/4.42 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[534, 20902])).
% 4.24/4.42 tff(20904,plain,
% 4.24/4.42 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(20905,plain,
% 4.24/4.42 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(20906,plain,
% 4.24/4.42 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[20905])).
% 4.24/4.42 tff(20907,plain,
% 4.24/4.42 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.42 inference(transitivity,[status(thm)],[20906, 20904])).
% 4.24/4.42 tff(20908,plain,
% 4.24/4.42 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.42 inference(quant_inst,[status(thm)],[])).
% 4.24/4.42 tff(20909,plain,
% 4.24/4.42 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 4.24/4.42 inference(modus_ponens,[status(thm)],[20908, 20907])).
% 4.24/4.42 tff(20910,plain,
% 4.24/4.42 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20909, 82, 20903, 1038])).
% 4.24/4.42 tff(20911,plain,
% 4.24/4.42 (b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[598, 20910, 61])).
% 4.24/4.42 tff(20912,plain,
% 4.24/4.42 (~b(z, s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[982, 20911, 175, 16673, 20899])).
% 4.24/4.42 tff(20913,plain,
% 4.24/4.42 (r(z, s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[563, 20912])).
% 4.24/4.42 tff(20914,plain,
% 4.24/4.42 (~r(s(s(z)), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2514, 20913, 1731])).
% 4.24/4.42 tff(20915,plain,
% 4.24/4.42 (b(s(s(z)), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[472, 20914])).
% 4.24/4.42 tff(20916,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(20917,plain,
% 4.24/4.42 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(20918,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[20917])).
% 4.24/4.42 tff(20919,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.42 inference(transitivity,[status(thm)],[20918, 20916])).
% 4.24/4.42 tff(20920,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.24/4.42 inference(quant_inst,[status(thm)],[])).
% 4.24/4.42 tff(20921,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.24/4.42 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 4.24/4.42 tff(20922,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20921, 338, 20915, 20901, 2911, 20899, 20911])).
% 4.24/4.42 tff(20923,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(20924,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20923, 20893, 175, 1731, 458, 20848, 20891, 6734, 405, 72])).
% 4.24/4.42 tff(20925,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[119, 20924])).
% 4.24/4.42 tff(20926,plain,
% 4.24/4.42 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1463, 20925, 20848, 458, 20893])).
% 4.24/4.42 tff(20927,plain,
% 4.24/4.42 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[68, 20926])).
% 4.24/4.42 tff(20928,plain,
% 4.24/4.42 (~r(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2503, 20927, 175, 405, 1731, 16673])).
% 4.24/4.42 tff(20929,plain,
% 4.24/4.42 (b(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[455, 20928])).
% 4.24/4.42 tff(20930,plain,
% 4.24/4.42 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6790, 20929, 458, 20848, 20891, 6734])).
% 4.24/4.42 tff(20931,plain,
% 4.24/4.42 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[534, 20930])).
% 4.24/4.42 tff(20932,plain,
% 4.24/4.42 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20909, 82, 20931, 20893])).
% 4.24/4.42 tff(20933,plain,
% 4.24/4.42 (b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[598, 20932, 61])).
% 4.24/4.42 tff(20934,plain,
% 4.24/4.42 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[2996])).
% 4.24/4.42 tff(20935,plain,
% 4.24/4.42 (b(s(s(z)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.42 inference(symmetry,[status(thm)],[20934])).
% 4.24/4.42 tff(20936,plain,
% 4.24/4.42 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.42 inference(modus_ponens,[status(thm)],[600, 20935])).
% 4.24/4.42 tff(20937,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[62, 20936])).
% 4.24/4.42 tff(20938,plain,((~(elem!1 = z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(20939,plain,
% 4.24/4.42 (~(elem!1 = z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20938, 20933, 62])).
% 4.24/4.42 tff(20940,plain,
% 4.24/4.42 (~r(s(s(elem!1)), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1230, 871, 426, 16542, 458, 20848])).
% 4.24/4.42 tff(20941,plain,
% 4.24/4.42 (b(s(s(elem!1)), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[800, 20940])).
% 4.24/4.42 tff(20942,plain,
% 4.24/4.42 (~(s(z) = elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[873, 871])).
% 4.24/4.42 tff(20943,plain,
% 4.24/4.42 (~(elem!1 = s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[696, 20942])).
% 4.24/4.42 tff(20944,plain,
% 4.24/4.42 (~r(z, elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[857, 20939, 405, 20943, 137, 162])).
% 4.24/4.42 tff(20945,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2367, 4712, 1731, 108, 4710])).
% 4.24/4.42 tff(20946,plain,
% 4.24/4.42 (s(s(s(s(z)))) = elem!1),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1144, 6889, 4386])).
% 4.24/4.42 tff(20947,plain,
% 4.24/4.42 (~(s(s(s(elem!1))) = elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[18369, 20946, 871])).
% 4.24/4.42 tff(20948,plain,
% 4.24/4.42 (r(s(z), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1019, 20946, 72])).
% 4.24/4.42 tff(20949,plain,
% 4.24/4.42 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[16190, 20947, 405, 6734, 458, 16542, 3254, 1021, 20948])).
% 4.24/4.42 tff(20950,plain,
% 4.24/4.42 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1292, 20949, 1327])).
% 4.24/4.42 tff(20951,plain,
% 4.24/4.42 (~r(s(s(s(elem!1))), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1299, 20950, 254])).
% 4.24/4.42 tff(20952,plain,
% 4.24/4.42 (b(s(s(s(elem!1))), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2162, 20951, 20947])).
% 4.24/4.42 tff(20953,plain,
% 4.24/4.42 (~r(z, s(s(s(elem!1))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1361, 20950, 165])).
% 4.24/4.42 tff(20954,plain,
% 4.24/4.42 (b(z, s(s(s(elem!1))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1373, 20953])).
% 4.24/4.42 tff(20955,plain,
% 4.24/4.42 (~r(s(s(s(elem!1))), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1309, 20950, 165])).
% 4.24/4.42 tff(20956,plain,
% 4.24/4.42 (b(s(s(s(elem!1))), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1387, 20955])).
% 4.24/4.42 tff(20957,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[3027, 20956, 20954, 1021, 1131, 20952])).
% 4.24/4.42 tff(20958,plain,((~r(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~r(z, s(s(elem!1)))) | (s(s(s(elem!1))) = s(s(elem!1))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (s(s(s(z))) = s(s(elem!1))) | b(s(s(s(s(z)))), elem!1) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(20959,plain,
% 4.24/4.42 (~r(s(s(elem!1)), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20958, 4712, 4710, 162, 2180, 405, 458, 3254, 72, 871, 20945, 370])).
% 4.24/4.42 tff(20960,plain,
% 4.24/4.42 (b(s(s(elem!1)), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[327, 20959, 197])).
% 4.24/4.42 tff(20961,plain,
% 4.24/4.42 (~(s(s(s(s(z)))) = elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1019, 176, 72])).
% 4.24/4.42 tff(20962,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1144, 20961, 4386])).
% 4.24/4.42 tff(20963,plain,
% 4.24/4.42 (~b(elem!1, s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[16974, 16930, 763, 764, 747])).
% 4.24/4.42 tff(20964,plain,
% 4.24/4.42 (r(elem!1, s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[819, 20963, 697])).
% 4.24/4.42 tff(20965,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1178, 20964, 20962, 108])).
% 4.24/4.42 tff(20966,plain,(r(s(z), elem!1) | (~r(s(s(s(s(z)))), s(z))) | b(s(s(s(s(z)))), elem!1) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (s(z) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(20967,plain,
% 4.24/4.42 (r(s(z), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20966, 20945, 108, 20960, 6734, 16542, 72, 20942])).
% 4.24/4.42 tff(20968,plain,
% 4.24/4.42 (~(s(s(s(elem!1))) = elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[16170, 20967, 405, 108, 16673, 4712, 175])).
% 4.24/4.42 tff(20969,plain,
% 4.24/4.42 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[16190, 20967, 405, 6734, 458, 16542, 3254, 4712, 20968])).
% 4.24/4.42 tff(20970,plain,
% 4.24/4.42 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1292, 20969, 2180])).
% 4.24/4.42 tff(20971,plain,
% 4.24/4.42 (~r(z, s(s(s(elem!1))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1361, 20970, 162])).
% 4.24/4.42 tff(20972,plain,
% 4.24/4.42 (b(z, s(s(s(elem!1))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1373, 20971])).
% 4.24/4.42 tff(20973,plain,
% 4.24/4.42 (~r(s(s(s(elem!1))), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1309, 20970, 162])).
% 4.24/4.42 tff(20974,plain,
% 4.24/4.42 (b(s(s(s(elem!1))), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1387, 20973])).
% 4.24/4.42 tff(20975,plain,
% 4.24/4.42 (~b(s(s(s(elem!1))), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[3027, 20974, 4712, 4710, 20972])).
% 4.24/4.42 tff(20976,plain,
% 4.24/4.42 (r(s(s(s(elem!1))), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2162, 20975, 20968])).
% 4.24/4.42 tff(20977,plain,
% 4.24/4.42 (b(s(z), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2097, 20976, 140, 20969, 20968])).
% 4.24/4.42 tff(20978,plain,
% 4.24/4.42 (~r(elem!1, s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1408, 20976, 20970])).
% 4.24/4.42 tff(20979,plain,
% 4.24/4.42 (b(elem!1, s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[321, 20978, 137])).
% 4.24/4.42 tff(20980,plain,
% 4.24/4.42 (~b(s(z), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[12668, 706, 763, 762, 878, 1021])).
% 4.24/4.42 tff(20981,plain,
% 4.24/4.42 (r(s(z), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[743, 20980])).
% 4.24/4.42 tff(20982,plain,
% 4.24/4.42 (~r(s(z), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[729, 20981, 165])).
% 4.24/4.42 tff(20983,plain,
% 4.24/4.42 (b(s(z), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[26, 20982])).
% 4.24/4.42 tff(20984,plain,
% 4.24/4.42 (~r(z, s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[4588, 20981, 165])).
% 4.24/4.42 tff(20985,plain,
% 4.24/4.42 (b(z, s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[403, 20984])).
% 4.24/4.42 tff(20986,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[7103, 20985, 20983, 706, 1131, 1021])).
% 4.24/4.42 tff(20987,plain,((~b(s(z), elem!1)) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(20988,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20987, 20979, 20977, 162, 4712, 20960, 4710, 878])).
% 4.24/4.42 tff(20989,plain,((elem!1 = z) | (~b(s(s(elem!1)), z)) | (elem!1 = s(s(elem!1))) | b(z, s(s(elem!1))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(z))) | r(z, elem!1) | r(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(20990,plain,
% 4.24/4.42 (r(elem!1, z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20989, 20944, 137, 140, 405, 458, 20891, 20925, 175, 72, 871, 370, 1731, 20941, 20939])).
% 4.24/4.42 tff(20991,plain,
% 4.24/4.42 (~r(s(z), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[828, 20990, 405])).
% 4.24/4.42 tff(20992,plain,
% 4.24/4.42 (~(s(s(s(s(z)))) = elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1019, 20991, 72])).
% 4.24/4.42 tff(20993,plain,
% 4.24/4.42 (~r(elem!1, s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[811, 20990, 405])).
% 4.24/4.42 tff(20994,plain,
% 4.24/4.42 (b(elem!1, s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[819, 20993, 20943])).
% 4.24/4.42 tff(20995,plain,
% 4.24/4.42 (b(s(z), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[701, 20991, 20942])).
% 4.24/4.42 tff(20996,plain,
% 4.24/4.42 (~b(s(s(elem!1)), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[16974, 20995, 20994, 6734, 16542])).
% 4.24/4.42 tff(20997,plain,
% 4.24/4.42 (r(s(s(elem!1)), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[327, 20996, 197])).
% 4.24/4.42 tff(20998,plain,
% 4.24/4.42 (~r(s(s(s(s(z)))), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2419, 20997, 370])).
% 4.24/4.42 tff(20999,plain,
% 4.24/4.42 (b(s(s(s(s(z)))), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1144, 20998, 20992])).
% 4.24/4.42 tff(21000,plain,
% 4.24/4.42 (~r(elem!1, s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1081, 20990, 162])).
% 4.24/4.42 tff(21001,plain,
% 4.24/4.42 (b(elem!1, s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[321, 21000, 137])).
% 4.24/4.42 tff(21002,plain,
% 4.24/4.42 (~(z = elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2752, 20939])).
% 4.24/4.42 tff(21003,plain,
% 4.24/4.42 (b(z, elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[353, 21002, 20944])).
% 4.24/4.42 tff(21004,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(21005,plain,
% 4.24/4.42 (((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(z))))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(21006,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[21005])).
% 4.24/4.42 tff(21007,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.24/4.42 inference(transitivity,[status(thm)],[21006, 21004])).
% 4.24/4.42 tff(21008,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(z)))))))),
% 4.24/4.42 inference(quant_inst,[status(thm)],[])).
% 4.24/4.42 tff(21009,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 4.24/4.42 inference(modus_ponens,[status(thm)],[21008, 21007])).
% 4.24/4.42 tff(21010,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[21009, 338, 21003, 21001, 16542, 20994, 20999, 16673])).
% 4.24/4.42 tff(21011,plain,(b(z, s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~r(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(21012,plain,
% 4.24/4.42 (b(z, s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[21011, 871, 137, 16950, 405, 458, 175, 370, 1731, 62, 3348, 426])).
% 4.24/4.42 tff(21013,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[8821, 21012, 175, 20890, 20884])).
% 4.24/4.42 tff(21014,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[10478, 21013, 4798])).
% 4.24/4.42 tff(21015,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[4933, 338, 457, 458, 987, 2911, 539])).
% 4.24/4.42 tff(21016,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(21017,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[21016, 2911, 458, 457, 539])).
% 4.24/4.42 tff(21018,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1011, 21017])).
% 4.24/4.42 tff(21019,plain,
% 4.24/4.42 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20923, 21018, 175, 1731, 458, 457, 2911, 764, 405, 72])).
% 4.24/4.42 tff(21020,plain,
% 4.24/4.42 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[18334, 21018, 10491])).
% 4.24/4.42 tff(21021,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6754, 21020, 21019, 871])).
% 4.24/4.42 tff(21022,plain,((~b(s(s(s(s(z)))), s(z))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(21023,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[21022, 871, 21014, 175, 1731, 458, 20848, 16952, 405, 16950, 20888])).
% 4.24/4.42 tff(21024,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[119, 21023])).
% 4.24/4.42 tff(21025,plain,
% 4.24/4.42 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[18334, 1038, 10491])).
% 4.24/4.42 tff(21026,plain,
% 4.24/4.42 (b(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6754, 21025, 871])).
% 4.24/4.42 tff(21027,plain,
% 4.24/4.42 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1463, 1038, 457, 458, 108])).
% 4.24/4.42 tff(21028,plain,
% 4.24/4.42 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[68, 21027])).
% 4.24/4.42 tff(21029,plain,
% 4.24/4.42 (~r(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2503, 21028, 175, 405, 1731, 555])).
% 4.24/4.42 tff(21030,plain,
% 4.24/4.42 (b(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[455, 21029])).
% 4.24/4.42 tff(21031,plain,
% 4.24/4.42 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6790, 21030, 458, 457, 21026, 764])).
% 4.24/4.42 tff(21032,plain,
% 4.24/4.42 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[534, 21031])).
% 4.24/4.42 tff(21033,plain,
% 4.24/4.42 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20909, 82, 21032, 1038])).
% 4.24/4.42 tff(21034,plain,
% 4.24/4.42 (b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[598, 21033, 61])).
% 4.24/4.42 tff(21035,plain,
% 4.24/4.42 (~(elem!1 = z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[20938, 21034, 62])).
% 4.24/4.42 tff(21036,plain,
% 4.24/4.42 (~(z = elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2752, 21035])).
% 4.24/4.42 tff(21037,plain,
% 4.24/4.42 (~(s(elem!1) = s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1912, 21036])).
% 4.24/4.42 tff(21038,plain,
% 4.24/4.42 (~(s(s(elem!1)) = s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[10916, 21037])).
% 4.24/4.42 tff(21039,plain,
% 4.24/4.42 (r(s(s(elem!1)), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[19482, 21025, 405, 3348, 458, 871])).
% 4.24/4.42 tff(21040,plain,
% 4.24/4.42 (~r(s(s(elem!1)), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[17012, 21032, 21039])).
% 4.24/4.42 tff(21041,plain,
% 4.24/4.42 (~b(z, s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[982, 21034, 175, 555, 21028])).
% 4.24/4.42 tff(21042,plain,
% 4.24/4.42 (r(z, s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[563, 21041])).
% 4.24/4.42 tff(21043,plain,
% 4.24/4.42 (~r(s(s(z)), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2514, 21042, 1731])).
% 4.24/4.42 tff(21044,plain,
% 4.24/4.42 (b(s(s(z)), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[472, 21043])).
% 4.24/4.42 tff(21045,plain,
% 4.24/4.42 (~b(s(s(elem!1)), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[11079, 21044, 764, 747, 21030])).
% 4.24/4.42 tff(21046,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[11083, 21, 21045, 21040, 21038])).
% 4.24/4.42 tff(21047,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~b(z, s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(21048,plain,
% 4.24/4.42 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[21047, 871, 20886, 1731, 62, 175, 20884, 458, 20848, 405, 3348, 16952, 21024, 21014])).
% 4.24/4.42 tff(21049,plain,
% 4.24/4.42 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1011, 21048])).
% 4.24/4.42 tff(21050,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[11173, 338, 3348, 21049, 20888, 175, 20884])).
% 4.24/4.42 tff(21051,plain,((s(s(s(z))) = s(s(elem!1))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | (s(s(s(s(z)))) = s(s(elem!1))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | b(s(z), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(21052,plain,
% 4.24/4.42 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[21051, 19113, 175, 1731, 62, 20882, 405, 3348, 137, 19114, 136, 20881])).
% 4.24/4.42 tff(21053,plain,
% 4.24/4.42 (s(z) = elem!1),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1237, 21052])).
% 4.24/4.42 tff(21054,plain,
% 4.24/4.42 (r(z, elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1733, 21053, 1731])).
% 4.24/4.42 tff(21055,plain,
% 4.24/4.42 (~b(s(s(elem!1)), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[881, 21052, 129])).
% 4.24/4.42 tff(21056,plain,
% 4.24/4.42 (r(s(s(elem!1)), z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[800, 21055])).
% 4.24/4.42 tff(21057,plain,
% 4.24/4.42 (~r(s(s(elem!1)), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2552, 21056, 21054])).
% 4.24/4.42 tff(21058,plain,
% 4.24/4.42 (b(s(s(elem!1)), elem!1)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[327, 21057, 197])).
% 4.24/4.42 tff(21059,plain,
% 4.24/4.42 (s(s(z)) = s(elem!1)),
% 4.24/4.42 inference(monotonicity,[status(thm)],[21053])).
% 4.24/4.42 tff(21060,plain,
% 4.24/4.42 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[21059])).
% 4.24/4.42 tff(21061,plain,
% 4.24/4.42 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[21060])).
% 4.24/4.42 tff(21062,plain,
% 4.24/4.42 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[21061])).
% 4.24/4.42 tff(21063,plain,
% 4.24/4.42 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.24/4.42 inference(modus_ponens,[status(thm)],[19114, 21062])).
% 4.24/4.42 tff(21064,plain,
% 4.24/4.42 (r(elem!1, z)),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[867, 21053, 405])).
% 4.24/4.42 tff(21065,plain,
% 4.24/4.42 (~r(elem!1, s(s(elem!1)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[17270, 21056, 21064])).
% 4.24/4.42 tff(21066,plain,
% 4.24/4.42 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[21061])).
% 4.24/4.42 tff(21067,plain,
% 4.24/4.42 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21053])).
% 4.24/4.43 tff(21068,plain,
% 4.24/4.43 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[106, 20881])).
% 4.24/4.43 tff(21069,plain,
% 4.24/4.43 (r(elem!1, s(s(s(s(z)))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21068, 21067])).
% 4.24/4.43 tff(21070,plain,
% 4.24/4.43 (r(elem!1, s(s(s(elem!1))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21069, 21066])).
% 4.24/4.43 tff(21071,plain,
% 4.24/4.43 (~r(z, s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[11465, 21068, 1731])).
% 4.24/4.43 tff(21072,plain,
% 4.24/4.43 (b(z, s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[391, 21071])).
% 4.24/4.43 tff(21073,plain,
% 4.24/4.43 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1412, 21053])).
% 4.24/4.43 tff(21074,plain,
% 4.24/4.43 (b(z, s(s(s(elem!1))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2141, 21073, 21072])).
% 4.24/4.43 tff(21075,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21061])).
% 4.24/4.43 tff(21076,plain,
% 4.24/4.43 (b(s(s(s(elem!1))), z)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[175, 21075])).
% 4.24/4.43 tff(21077,plain,
% 4.24/4.43 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2040, 316, 1950, 8574, 294, 8573])).
% 4.24/4.43 tff(21078,plain,
% 4.24/4.43 (b(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1515, 21077, 210])).
% 4.24/4.43 tff(21079,plain,
% 4.24/4.43 (~r(elem!1, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[11657, 1950, 210, 802, 1595, 234, 1596])).
% 4.24/4.43 tff(21080,plain,
% 4.24/4.43 (b(elem!1, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[252, 21079, 232])).
% 4.24/4.43 tff(21081,plain,
% 4.24/4.43 (~r(s(elem!1), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[9750, 316, 802, 234, 137, 323, 317])).
% 4.24/4.43 tff(21082,plain,
% 4.24/4.43 (b(s(elem!1), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1812, 21081])).
% 4.24/4.43 tff(21083,plain,
% 4.24/4.43 (~b(z, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[6306, 21082, 2257, 1596, 21080, 1595, 218, 21078, 8573])).
% 4.24/4.43 tff(21084,plain,
% 4.24/4.43 (~b(s(elem!1), elem!1)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[346, 316, 317, 137, 323, 21080])).
% 4.24/4.43 tff(21085,plain,
% 4.24/4.43 (r(s(elem!1), elem!1)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[312, 21084, 294])).
% 4.24/4.43 tff(21086,plain,
% 4.24/4.43 (~r(z, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[303, 21085, 234])).
% 4.24/4.43 tff(21087,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1615, 21086, 21083])).
% 4.24/4.43 tff(21088,plain,((~b(s(s(elem!1)), s(elem!1))) | (~r(z, elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | r(elem!1, s(s(elem!1))) | (elem!1 = s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21089,plain,
% 4.24/4.43 (~b(s(s(elem!1)), s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21088, 21054, 21063, 21076, 21074, 21070, 21065, 137, 21057, 21064])).
% 4.24/4.43 tff(21090,plain,
% 4.24/4.43 (r(s(s(elem!1)), s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[277, 21089, 225])).
% 4.24/4.43 tff(21091,plain,
% 4.24/4.43 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2629, 21090, 21063])).
% 4.24/4.43 tff(21092,plain,
% 4.24/4.43 (b(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1515, 21091, 210])).
% 4.24/4.43 tff(21093,plain,
% 4.24/4.43 (~r(elem!1, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[11657, 21070, 210, 21064, 21074, 21054, 21076])).
% 4.24/4.43 tff(21094,plain,
% 4.24/4.43 (b(elem!1, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[252, 21093, 232])).
% 4.24/4.43 tff(21095,plain,
% 4.24/4.43 (~r(s(elem!1), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[5958, 21090, 21056])).
% 4.24/4.43 tff(21096,plain,
% 4.24/4.43 (b(s(elem!1), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1812, 21095])).
% 4.24/4.43 tff(21097,plain,
% 4.24/4.43 (~r(z, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[9003, 21090, 21056])).
% 4.24/4.43 tff(21098,plain,
% 4.24/4.43 (b(z, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1615, 21097])).
% 4.24/4.43 tff(21099,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[6306, 21098, 21096, 21063, 21076, 21094, 21074, 218, 21092, 21058])).
% 4.24/4.43 tff(21100,plain,((s(s(elem!1)) = s(s(s(s(z))))) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(z), z)) | b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21101,plain,
% 4.24/4.43 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21100, 1731, 175, 137, 405, 129, 62, 3348])).
% 4.24/4.43 tff(21102,plain,
% 4.24/4.43 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21101])).
% 4.24/4.43 tff(21103,plain,
% 4.24/4.43 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.24/4.43 inference(symmetry,[status(thm)],[21102])).
% 4.24/4.43 tff(21104,plain,
% 4.24/4.43 (b(s(z), s(elem!1))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[20848, 16911])).
% 4.24/4.43 tff(21105,plain,
% 4.24/4.43 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2112, 13914, 1731])).
% 4.24/4.43 tff(21106,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[119, 21105])).
% 4.24/4.43 tff(21107,plain,
% 4.24/4.43 (b(s(s(elem!1)), s(z))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21106, 18112])).
% 4.24/4.43 tff(21108,plain,
% 4.24/4.43 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[552, 13914, 405])).
% 4.24/4.43 tff(21109,plain,
% 4.24/4.43 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[106, 21108])).
% 4.24/4.43 tff(21110,plain,
% 4.24/4.43 (b(s(z), s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[13911, 21109, 17879])).
% 4.24/4.43 tff(21111,plain,
% 4.24/4.43 (~b(z, s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[18489, 386, 178])).
% 4.24/4.43 tff(21112,plain,
% 4.24/4.43 (r(z, s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[161, 21111])).
% 4.24/4.43 tff(21113,plain,
% 4.24/4.43 (~r(s(elem!1), s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1823, 21112, 1815])).
% 4.24/4.43 tff(21114,plain,
% 4.24/4.43 (b(s(elem!1), s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[3081, 21113, 1788])).
% 4.24/4.43 tff(21115,plain,
% 4.24/4.43 (~b(s(s(elem!1)), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[3092, 21114, 3084, 21110, 3083])).
% 4.24/4.43 tff(21116,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21115, 21107])).
% 4.24/4.43 tff(21117,plain,(b(z, s(s(s(s(z))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (s(elem!1) = s(s(elem!1))) | (~r(s(elem!1), z)) | (~r(z, s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21118,plain,
% 4.24/4.43 (b(z, s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21117, 178, 16915, 21104, 6853, 17837, 1731, 405])).
% 4.24/4.43 tff(21119,plain,
% 4.24/4.43 ((~(elem!1 = s(elem!1))) <=> (~(s(s(s(z))) = elem!1))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[19384])).
% 4.24/4.43 tff(21120,plain,
% 4.24/4.43 (~(s(s(s(z))) = elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[232, 21119])).
% 4.24/4.43 tff(21121,plain,
% 4.24/4.43 (~(elem!1 = s(s(s(s(z)))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[197, 18733])).
% 4.24/4.43 tff(21122,plain,
% 4.24/4.43 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[20844, 651, 458, 457, 2911])).
% 4.24/4.43 tff(21123,plain,
% 4.24/4.43 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[689, 21122])).
% 4.24/4.43 tff(21124,plain,
% 4.24/4.43 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[5079, 651, 458, 2911, 457])).
% 4.24/4.43 tff(21125,plain,
% 4.24/4.43 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1011, 21124])).
% 4.24/4.43 tff(21126,plain,
% 4.24/4.43 (~r(s(s(s(z))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2472, 71, 911])).
% 4.24/4.43 tff(21127,plain,
% 4.24/4.43 (b(s(s(s(z))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[639, 21126])).
% 4.24/4.43 tff(21128,assumption,(b(s(s(s(z))), s(s(z)))), introduced(assumption)).
% 4.24/4.43 tff(21129,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(21130,plain,
% 4.24/4.43 (((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(21131,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z)))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21130])).
% 4.24/4.43 tff(21132,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[21131, 21129])).
% 4.24/4.43 tff(21133,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))),
% 4.24/4.43 inference(quant_inst,[status(thm)],[])).
% 4.24/4.43 tff(21134,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z)))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21133, 21132])).
% 4.24/4.43 tff(21135,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21134, 338, 476, 457, 475, 458, 21128])).
% 4.24/4.43 tff(21136,plain,((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21137,plain,
% 4.24/4.43 (~b(s(s(z)), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21136, 1459, 457, 458, 21127])).
% 4.24/4.43 tff(21138,plain,
% 4.24/4.43 (r(s(s(z)), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[472, 21137])).
% 4.24/4.43 tff(21139,plain,
% 4.24/4.43 (~r(s(s(z)), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2524, 82, 1731, 21138])).
% 4.24/4.43 tff(21140,plain,
% 4.24/4.43 (~r(z, s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2514, 21138, 1731])).
% 4.24/4.43 tff(21141,plain,
% 4.24/4.43 (b(z, s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[563, 21140])).
% 4.24/4.43 tff(21142,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(21143,plain,
% 4.24/4.43 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(21144,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z))))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21143])).
% 4.24/4.43 tff(21145,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[21144, 21142])).
% 4.24/4.43 tff(21146,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))))),
% 4.24/4.43 inference(quant_inst,[status(thm)],[])).
% 4.24/4.43 tff(21147,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21146, 21145])).
% 4.24/4.43 tff(21148,plain,
% 4.24/4.43 (~b(s(s(z)), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21147, 338, 1459, 21141, 3348, 21127])).
% 4.24/4.43 tff(21149,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[956, 21148, 21139])).
% 4.24/4.43 tff(21150,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(z))))) | (~r(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21151,plain,
% 4.24/4.43 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21150, 21125, 1731, 457, 458, 3348, 21123])).
% 4.24/4.43 tff(21152,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[68, 21151])).
% 4.24/4.43 tff(21153,plain,
% 4.24/4.43 (~r(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2503, 21152, 175, 405, 1731, 555])).
% 4.24/4.43 tff(21154,plain,
% 4.24/4.43 (b(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[455, 21153])).
% 4.24/4.43 tff(21155,plain,
% 4.24/4.43 (~b(s(s(z)), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2919, 21154, 2911, 651, 21152])).
% 4.24/4.43 tff(21156,plain,
% 4.24/4.43 (r(s(s(z)), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[472, 21155])).
% 4.24/4.43 tff(21157,plain,
% 4.24/4.43 (~r(z, s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2514, 21156, 1731])).
% 4.24/4.43 tff(21158,plain,
% 4.24/4.43 (b(z, s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[563, 21157])).
% 4.24/4.43 tff(21159,plain,
% 4.24/4.43 (~b(s(s(z)), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2496, 21158, 175, 555, 21152])).
% 4.24/4.43 tff(21160,plain,
% 4.24/4.43 (r(s(s(z)), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[956, 21159])).
% 4.24/4.43 tff(21161,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2524, 82, 1731, 21160, 21156])).
% 4.24/4.43 tff(21162,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21163,plain,
% 4.24/4.43 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21162, 2911, 175, 21118, 1731, 405, 20848, 458, 3348])).
% 4.24/4.43 tff(21164,plain,
% 4.24/4.43 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[106, 21163])).
% 4.24/4.43 tff(21165,plain,
% 4.24/4.43 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21016, 987, 458, 20848, 2911])).
% 4.24/4.43 tff(21166,plain,
% 4.24/4.43 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[689, 21165])).
% 4.24/4.43 tff(21167,plain,
% 4.24/4.43 (~r(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2503, 540, 175, 405, 1731, 555])).
% 4.24/4.43 tff(21168,plain,
% 4.24/4.43 (b(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[455, 21167])).
% 4.24/4.43 tff(21169,plain,
% 4.24/4.43 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[17975, 21168, 458, 987, 2911, 20848])).
% 4.24/4.43 tff(21170,plain,
% 4.24/4.43 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[534, 21169])).
% 4.24/4.43 tff(21171,plain,
% 4.24/4.43 (r(elem!1, s(s(s(z))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21170, 17907])).
% 4.24/4.43 tff(21172,plain,
% 4.24/4.43 (~r(elem!1, s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[17914, 21171, 21166])).
% 4.24/4.43 tff(21173,plain,
% 4.24/4.43 (b(elem!1, s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1094, 21172, 2444])).
% 4.24/4.43 tff(21174,plain,
% 4.24/4.43 (b(elem!1, s(s(elem!1)))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21173, 16804])).
% 4.24/4.43 tff(21175,plain,
% 4.24/4.43 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.24/4.43 inference(monotonicity,[status(thm)],[178])).
% 4.24/4.43 tff(21176,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.24/4.43 inference(symmetry,[status(thm)],[21175])).
% 4.24/4.43 tff(21177,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 4.24/4.43 inference(transitivity,[status(thm)],[19285, 21176])).
% 4.24/4.43 tff(21178,plain,
% 4.24/4.43 (b(s(s(elem!1)), elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[540, 21177])).
% 4.24/4.43 tff(21179,plain,
% 4.24/4.43 (b(z, s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2324, 555, 178])).
% 4.24/4.43 tff(21180,plain,
% 4.24/4.43 ((s(z) = s(s(z))) <=> (elem!1 = s(z))),
% 4.24/4.43 inference(transitivity,[status(thm)],[16917, 748])).
% 4.24/4.43 tff(21181,plain,
% 4.24/4.43 ((~(s(z) = s(s(z)))) <=> (~(elem!1 = s(z)))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21180])).
% 4.24/4.43 tff(21182,plain,
% 4.24/4.43 (~(elem!1 = s(z))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[450, 21181])).
% 4.24/4.43 tff(21183,plain,
% 4.24/4.43 (b(s(z), s(s(z))) <=> b(s(z), elem!1)),
% 4.24/4.43 inference(symmetry,[status(thm)],[17838])).
% 4.24/4.43 tff(21184,plain,
% 4.24/4.43 (b(s(z), elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21168, 21183])).
% 4.24/4.43 tff(21185,plain,
% 4.24/4.43 (~r(elem!1, z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[18321, 21184, 405, 21182, 426, 20848, 1103])).
% 4.24/4.43 tff(21186,plain,
% 4.24/4.43 (b(elem!1, z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[846, 21185, 19404])).
% 4.24/4.43 tff(21187,plain,
% 4.24/4.43 (~b(elem!1, s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[17364, 21186, 17834, 21179, 21178])).
% 4.24/4.43 tff(21188,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21187, 21174])).
% 4.24/4.43 tff(21189,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (elem!1 = s(s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = elem!1) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21190,plain,
% 4.24/4.43 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21189, 987, 2444, 405, 426, 1103, 458, 178, 2911, 175, 1731, 555])).
% 4.24/4.43 tff(21191,plain,
% 4.24/4.43 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[68, 21190])).
% 4.24/4.43 tff(21192,plain,
% 4.24/4.43 (~r(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[90, 21191, 72])).
% 4.24/4.43 tff(21193,plain,
% 4.24/4.43 (b(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[455, 21192])).
% 4.24/4.43 tff(21194,plain,
% 4.24/4.43 (~r(s(s(s(z))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2472, 21191, 21166])).
% 4.24/4.43 tff(21195,plain,
% 4.24/4.43 (b(s(s(s(z))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[639, 21194])).
% 4.24/4.43 tff(21196,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[17987, 338, 20848, 458, 21195, 987, 21193, 2911])).
% 4.24/4.43 tff(21197,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (elem!1 = s(s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = elem!1) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21198,plain,
% 4.24/4.43 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21197, 2911, 458, 21164, 21121, 405, 426, 21120, 178, 175, 1731, 21118])).
% 4.24/4.43 tff(21199,plain,
% 4.24/4.43 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1011, 21198])).
% 4.24/4.43 tff(21200,plain,
% 4.24/4.43 (r(s(s(elem!1)), s(elem!1))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21199, 18076])).
% 4.24/4.43 tff(21201,plain,
% 4.24/4.43 (b(s(s(elem!1)), s(z))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[2911, 18112])).
% 4.24/4.43 tff(21202,plain,
% 4.24/4.43 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[20923, 21199, 175, 1731, 458, 20848, 2911, 21201, 405, 21164])).
% 4.24/4.43 tff(21203,plain,
% 4.24/4.43 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[10740, 21202, 17879])).
% 4.24/4.43 tff(21204,plain,
% 4.24/4.43 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[689, 21203])).
% 4.24/4.43 tff(21205,plain,
% 4.24/4.43 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21150, 21204, 1731, 20848, 458, 3348, 21199])).
% 4.24/4.43 tff(21206,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[68, 21205])).
% 4.24/4.43 tff(21207,plain,
% 4.24/4.43 (~r(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2503, 21206, 175, 405, 1731, 21118])).
% 4.24/4.43 tff(21208,plain,
% 4.24/4.43 (b(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[455, 21207])).
% 4.24/4.43 tff(21209,plain,
% 4.24/4.43 (b(s(z), elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21208, 21183])).
% 4.24/4.43 tff(21210,plain,
% 4.24/4.43 (r(s(z), s(s(elem!1)))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21164, 17864])).
% 4.24/4.43 tff(21211,plain,
% 4.24/4.43 (b(z, s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2324, 21118, 178])).
% 4.24/4.43 tff(21212,plain,
% 4.24/4.43 (b(s(s(elem!1)), elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21206, 21177])).
% 4.24/4.43 tff(21213,plain,
% 4.24/4.43 (~r(elem!1, s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[17366, 21212, 137, 405, 21211, 19404, 21210])).
% 4.24/4.43 tff(21214,plain,
% 4.24/4.43 (b(elem!1, s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[819, 21213, 21182])).
% 4.24/4.43 tff(21215,plain,
% 4.24/4.43 (~b(elem!1, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[9859, 21214, 16915, 21104, 21209])).
% 4.24/4.43 tff(21216,plain,
% 4.24/4.43 (r(elem!1, s(elem!1))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[252, 21215, 232])).
% 4.24/4.43 tff(21217,plain,
% 4.24/4.43 (~r(elem!1, z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[18321, 21209, 405, 21182, 426, 20848, 21120])).
% 4.24/4.43 tff(21218,plain,
% 4.24/4.43 (b(elem!1, z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[846, 21217, 19404])).
% 4.24/4.43 tff(21219,plain,
% 4.24/4.43 (~b(elem!1, s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[17364, 21218, 17834, 21211, 21212])).
% 4.24/4.43 tff(21220,plain,
% 4.24/4.43 (r(elem!1, s(s(elem!1)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[321, 21219, 137])).
% 4.24/4.43 tff(21221,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2715, 21220, 21216, 21200])).
% 4.24/4.43 tff(21222,plain,((~b(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21223,plain,
% 4.24/4.43 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21222, 21101, 405, 136, 137, 175, 1731, 20882, 3348])).
% 4.24/4.43 tff(21224,plain,
% 4.24/4.43 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[119, 21223])).
% 4.24/4.43 tff(21225,plain,
% 4.24/4.43 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21101])).
% 4.24/4.43 tff(21226,plain,
% 4.24/4.43 (s(elem!1) = s(s(s(z)))),
% 4.24/4.43 inference(transitivity,[status(thm)],[182, 21225, 44])).
% 4.24/4.43 tff(21227,plain,
% 4.24/4.43 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21226])).
% 4.24/4.43 tff(21228,plain,
% 4.24/4.43 (elem!1 = s(s(z))),
% 4.24/4.43 inference(transitivity,[status(thm)],[5450, 21227, 52])).
% 4.24/4.43 tff(21229,plain,
% 4.24/4.43 ((s(z) = elem!1) <=> (s(z) = s(s(z)))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21228])).
% 4.24/4.43 tff(21230,plain,
% 4.24/4.43 ((s(z) = s(s(z))) <=> (s(z) = elem!1)),
% 4.24/4.43 inference(symmetry,[status(thm)],[21229])).
% 4.24/4.43 tff(21231,plain,
% 4.24/4.43 ((~(s(z) = s(s(z)))) <=> (~(s(z) = elem!1))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21230])).
% 4.24/4.43 tff(21232,plain,
% 4.24/4.43 (~(s(z) = elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[450, 21231])).
% 4.24/4.43 tff(21233,plain,
% 4.24/4.43 ((z = elem!1) <=> (z = s(s(z)))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21228])).
% 4.24/4.43 tff(21234,plain,
% 4.24/4.43 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.24/4.43 inference(transitivity,[status(thm)],[21233, 3889])).
% 4.24/4.43 tff(21235,plain,
% 4.24/4.43 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.24/4.43 inference(symmetry,[status(thm)],[21234])).
% 4.24/4.43 tff(21236,plain,
% 4.24/4.43 ((~(s(s(z)) = z)) <=> (~(z = elem!1))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21235])).
% 4.24/4.43 tff(21237,plain,
% 4.24/4.43 (~(z = elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[56, 21236])).
% 4.24/4.43 tff(21238,plain,
% 4.24/4.43 ((s(s(z)) = z) <=> (elem!1 = z)),
% 4.24/4.43 inference(transitivity,[status(thm)],[21235, 2749])).
% 4.24/4.43 tff(21239,plain,
% 4.24/4.43 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21238])).
% 4.24/4.43 tff(21240,plain,
% 4.24/4.43 (~(elem!1 = z)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[56, 21239])).
% 4.24/4.43 tff(21241,plain,
% 4.24/4.43 ((s(s(elem!1)) = elem!1) <=> (s(s(s(s(z)))) = elem!1)),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21101])).
% 4.24/4.43 tff(21242,plain,
% 4.24/4.43 ((s(s(elem!1)) = elem!1) <=> (elem!1 = s(s(s(s(z)))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[21241, 139])).
% 4.24/4.43 tff(21243,plain,
% 4.24/4.43 ((s(s(elem!1)) = elem!1) <=> (s(s(s(s(z)))) = elem!1)),
% 4.24/4.43 inference(transitivity,[status(thm)],[21242, 1058])).
% 4.24/4.43 tff(21244,plain,
% 4.24/4.43 ((~(s(s(elem!1)) = elem!1)) <=> (~(s(s(s(s(z)))) = elem!1))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21243])).
% 4.24/4.43 tff(21245,plain,
% 4.24/4.43 (~(s(s(s(s(z)))) = elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[197, 21244])).
% 4.24/4.43 tff(21246,plain,
% 4.24/4.43 (b(elem!1, z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[846, 18290, 719])).
% 4.24/4.43 tff(21247,plain,
% 4.24/4.43 (~r(z, elem!1)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[759, 754, 405])).
% 4.24/4.43 tff(21248,plain,
% 4.24/4.43 (b(z, elem!1)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[353, 21247, 714])).
% 4.24/4.43 tff(21249,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), elem!1)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1144, 16164, 1039])).
% 4.24/4.43 tff(21250,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[2367, 21249, 21248, 1731, 108, 21246])).
% 4.24/4.43 tff(21251,plain,((~r(s(z), elem!1)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (s(s(s(s(z)))) = elem!1) | (elem!1 = z) | (z = elem!1) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21252,plain,
% 4.24/4.43 (~r(s(z), elem!1)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21251, 1731, 21224, 21245, 21240, 21237, 405])).
% 4.24/4.43 tff(21253,plain,
% 4.24/4.43 (b(s(z), elem!1)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[701, 21252, 21232])).
% 4.24/4.43 tff(21254,plain,
% 4.24/4.43 (r(s(elem!1), z) <=> r(s(s(s(z))), z)),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21226])).
% 4.24/4.43 tff(21255,plain,
% 4.24/4.43 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 4.24/4.43 inference(symmetry,[status(thm)],[21254])).
% 4.24/4.43 tff(21256,plain,
% 4.24/4.43 (r(s(elem!1), z)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[136, 21255])).
% 4.24/4.43 tff(21257,plain,
% 4.24/4.43 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(z))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21226])).
% 4.24/4.43 tff(21258,plain,
% 4.24/4.43 (b(s(z), s(s(s(z)))) <=> b(s(z), s(elem!1))),
% 4.24/4.43 inference(symmetry,[status(thm)],[21257])).
% 4.24/4.43 tff(21259,plain,
% 4.24/4.43 (b(s(z), s(elem!1))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[20842, 21258])).
% 4.24/4.43 tff(21260,plain,
% 4.24/4.43 (b(s(elem!1), s(z)) <=> b(s(s(s(z))), s(z))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21226])).
% 4.24/4.43 tff(21261,plain,
% 4.24/4.43 (b(s(s(s(z))), s(z)) <=> b(s(elem!1), s(z))),
% 4.24/4.43 inference(symmetry,[status(thm)],[21260])).
% 4.24/4.43 tff(21262,plain,
% 4.24/4.43 (b(s(elem!1), s(z))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[20882, 21261])).
% 4.24/4.43 tff(21263,plain,
% 4.24/4.43 (b(z, s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21117, 21101, 21262, 21259, 6853, 21256, 1731, 405])).
% 4.24/4.43 tff(21264,plain,
% 4.24/4.43 (b(elem!1, z) <=> b(s(s(z)), z)),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21228])).
% 4.24/4.43 tff(21265,plain,
% 4.24/4.43 ((elem!1 = s(elem!1)) <=> (elem!1 = s(s(s(z))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21226])).
% 4.24/4.43 tff(21266,plain,
% 4.24/4.43 ((elem!1 = s(elem!1)) <=> (s(s(s(z))) = elem!1)),
% 4.24/4.43 inference(transitivity,[status(thm)],[21265, 1051])).
% 4.24/4.43 tff(21267,plain,
% 4.24/4.43 ((~(elem!1 = s(elem!1))) <=> (~(s(s(s(z))) = elem!1))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21266])).
% 4.24/4.43 tff(21268,plain,
% 4.24/4.43 (~(s(s(s(z))) = elem!1)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[232, 21267])).
% 4.24/4.43 tff(21269,plain,
% 4.24/4.43 ((s(z) = s(s(z))) <=> (elem!1 = s(z))),
% 4.24/4.43 inference(transitivity,[status(thm)],[21230, 748])).
% 4.24/4.43 tff(21270,plain,
% 4.24/4.43 ((~(s(z) = s(s(z)))) <=> (~(elem!1 = s(z)))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21269])).
% 4.24/4.43 tff(21271,plain,
% 4.24/4.43 (~(elem!1 = s(z))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[450, 21270])).
% 4.24/4.43 tff(21272,plain,
% 4.24/4.43 (~r(elem!1, z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[18321, 21253, 405, 21271, 136, 20842, 21268])).
% 4.24/4.43 tff(21273,plain,
% 4.24/4.43 (b(elem!1, z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[846, 21272, 21240])).
% 4.24/4.43 tff(21274,plain,
% 4.24/4.43 (b(s(s(z)), z)),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[21273, 21264])).
% 4.24/4.43 tff(21275,plain,
% 4.24/4.43 ((~(s(s(elem!1)) = elem!1)) <=> (~(elem!1 = s(s(s(s(z))))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21242])).
% 4.24/4.43 tff(21276,plain,
% 4.24/4.43 (~(elem!1 = s(s(s(s(z)))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[197, 21275])).
% 4.24/4.43 tff(21277,plain,
% 4.24/4.43 ((~b(s(s(z)), s(s(s(s(z)))))) <=> (~b(elem!1, s(s(s(s(z))))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[17998])).
% 4.24/4.43 tff(21278,plain,
% 4.24/4.43 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[18385, 71, 458, 457, 108])).
% 4.24/4.43 tff(21279,plain,
% 4.24/4.43 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(elem!1)) = s(s(s(z))))),
% 4.24/4.43 inference(symmetry,[status(thm)],[4361])).
% 4.24/4.43 tff(21280,plain,
% 4.24/4.43 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = s(s(s(s(z)))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[178])).
% 4.24/4.43 tff(21281,plain,
% 4.24/4.43 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(s(z)))) = s(s(s(z))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[21280, 675])).
% 4.24/4.43 tff(21282,plain,
% 4.24/4.43 ((s(s(s(s(z)))) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(elem!1)))),
% 4.24/4.43 inference(symmetry,[status(thm)],[21281])).
% 4.24/4.43 tff(21283,plain,
% 4.24/4.43 ((s(s(s(s(z)))) = s(s(s(z)))) <=> (s(s(elem!1)) = s(s(s(z))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[21282, 21279])).
% 4.24/4.43 tff(21284,plain,
% 4.24/4.43 ((~(s(s(s(s(z)))) = s(s(s(z))))) <=> (~(s(s(elem!1)) = s(s(s(z)))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[21283])).
% 4.24/4.43 tff(21285,plain,
% 4.24/4.43 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[683, 21284])).
% 4.24/4.43 tff(21286,plain,
% 4.24/4.43 (~r(s(s(z)), s(s(s(z))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[18038, 71, 458, 178, 457, 706, 21182, 651, 21285])).
% 4.24/4.43 tff(21287,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[534, 21286, 21278])).
% 4.24/4.43 tff(21288,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(21289,plain,
% 4.24/4.43 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[21288, 651, 178, 20848, 706, 458, 108])).
% 4.24/4.43 tff(21290,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[68, 21289])).
% 4.24/4.43 tff(21291,plain,
% 4.24/4.43 (b(s(z), s(s(z)))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[706, 17838])).
% 4.24/4.43 tff(21292,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21293,plain,
% 4.24/4.44 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21294,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21293])).
% 4.24/4.44 tff(21295,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.44 inference(transitivity,[status(thm)],[21294, 21292])).
% 4.24/4.44 tff(21296,plain,
% 4.24/4.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.24/4.44 inference(quant_inst,[status(thm)],[])).
% 4.24/4.44 tff(21297,plain,
% 4.24/4.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21296, 21295])).
% 4.24/4.44 tff(21298,plain,
% 4.24/4.44 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21297, 338, 2431, 651, 21291, 21290, 175])).
% 4.24/4.44 tff(21299,plain,
% 4.24/4.44 (~b(elem!1, s(s(s(s(z)))))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21298, 21277])).
% 4.24/4.44 tff(21300,plain,
% 4.24/4.44 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[20868, 21290, 458, 426, 1731, 651, 175, 405])).
% 4.24/4.44 tff(21301,plain,
% 4.24/4.44 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[689, 21300])).
% 4.24/4.44 tff(21302,plain,
% 4.24/4.44 (~b(z, s(s(z)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[2496, 21290, 175, 555, 2431])).
% 4.24/4.44 tff(21303,plain,
% 4.24/4.44 (r(z, s(s(z)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[563, 21302])).
% 4.24/4.44 tff(21304,plain,
% 4.24/4.44 (~r(s(s(z)), s(z))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[2514, 21303, 1731])).
% 4.24/4.44 tff(21305,plain,
% 4.24/4.44 (b(s(s(z)), s(z))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[472, 21304])).
% 4.24/4.44 tff(21306,plain,
% 4.24/4.44 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[484, 21305, 458, 20848, 21291])).
% 4.24/4.44 tff(21307,plain,
% 4.24/4.44 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[534, 21306])).
% 4.24/4.44 tff(21308,plain,
% 4.24/4.44 (r(elem!1, s(s(s(z))))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21307, 17907])).
% 4.24/4.44 tff(21309,plain,
% 4.24/4.44 (~r(elem!1, s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[17914, 21308, 21301])).
% 4.24/4.44 tff(21310,plain,
% 4.24/4.44 (b(elem!1, s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1094, 21309, 2444])).
% 4.24/4.44 tff(21311,plain,
% 4.24/4.44 ($false),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21310, 21299])).
% 4.24/4.44 tff(21312,plain,((~b(s(z), s(s(s(s(z)))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (elem!1 = s(s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~b(s(z), elem!1)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.44 tff(21313,plain,
% 4.24/4.44 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21312, 21101, 21276, 21274, 175, 20882, 1731, 21263, 136, 405, 21253, 21224])).
% 4.24/4.44 tff(21314,plain,
% 4.24/4.44 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[106, 21313])).
% 4.24/4.44 tff(21315,plain,
% 4.24/4.44 (r(s(z), s(s(elem!1)))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21314, 21103])).
% 4.24/4.44 tff(21316,plain,
% 4.24/4.44 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21101])).
% 4.24/4.44 tff(21317,plain,
% 4.24/4.44 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.24/4.44 inference(symmetry,[status(thm)],[21316])).
% 4.24/4.44 tff(21318,plain,
% 4.24/4.44 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21228])).
% 4.24/4.44 tff(21319,plain,
% 4.24/4.44 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.24/4.44 inference(symmetry,[status(thm)],[21318])).
% 4.24/4.44 tff(21320,plain,
% 4.24/4.44 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), elem!1)),
% 4.24/4.44 inference(transitivity,[status(thm)],[21319, 21317])).
% 4.24/4.44 tff(21321,plain,
% 4.24/4.44 (r(s(elem!1), elem!1) <=> r(s(s(s(z))), elem!1)),
% 4.24/4.44 inference(monotonicity,[status(thm)],[183])).
% 4.24/4.44 tff(21322,plain,
% 4.24/4.44 ((~r(s(elem!1), elem!1)) <=> (~r(s(s(s(z))), elem!1))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21321])).
% 4.24/4.44 tff(21323,plain,
% 4.24/4.44 (r(z, elem!1) <=> r(z, s(s(z)))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[16902])).
% 4.24/4.44 tff(21324,plain,
% 4.24/4.44 (r(z, s(s(z))) <=> r(z, elem!1)),
% 4.24/4.44 inference(symmetry,[status(thm)],[21323])).
% 4.24/4.44 tff(21325,plain,
% 4.24/4.44 (r(z, elem!1)),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[556, 21324])).
% 4.24/4.44 tff(21326,plain,
% 4.24/4.44 (~r(s(elem!1), elem!1)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[2764, 21325, 1815])).
% 4.24/4.44 tff(21327,plain,
% 4.24/4.44 (~r(s(s(s(z))), elem!1)),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21326, 21322])).
% 4.24/4.44 tff(21328,plain,
% 4.24/4.44 (b(elem!1, s(z)) <=> b(s(s(z)), s(z))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[16902])).
% 4.24/4.44 tff(21329,plain,
% 4.24/4.44 (b(s(s(z)), s(z)) <=> b(elem!1, s(z))),
% 4.24/4.44 inference(symmetry,[status(thm)],[21328])).
% 4.24/4.44 tff(21330,plain,
% 4.24/4.44 (b(elem!1, s(z))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[11068, 21329])).
% 4.24/4.44 tff(21331,plain,
% 4.24/4.44 (~b(s(s(s(z))), elem!1)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[6908, 21330, 458, 457, 706])).
% 4.24/4.44 tff(21332,plain,
% 4.24/4.44 (r(s(s(s(z))), elem!1)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1110, 21331, 1103])).
% 4.24/4.44 tff(21333,plain,
% 4.24/4.44 ($false),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21332, 21327])).
% 4.24/4.44 tff(21334,plain,((~r(z, s(s(z)))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (s(s(s(z))) = elem!1) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), elem!1)) | (~r(s(elem!1), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.44 tff(21335,plain,
% 4.24/4.44 (~r(z, s(s(z)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21334, 21101, 21268, 20882, 20842, 21253, 21256, 1731])).
% 4.24/4.44 tff(21336,plain,
% 4.24/4.44 (b(z, s(s(z)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[563, 21335])).
% 4.24/4.44 tff(21337,plain,
% 4.24/4.44 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[2496, 21336, 175, 21263, 21274])).
% 4.24/4.44 tff(21338,plain,
% 4.24/4.44 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[68, 21337])).
% 4.24/4.44 tff(21339,plain,
% 4.24/4.44 (r(s(s(elem!1)), elem!1)),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21338, 21320])).
% 4.24/4.44 tff(21340,plain,
% 4.24/4.44 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[11454, 21101])).
% 4.24/4.44 tff(21341,plain,
% 4.24/4.44 (s(s(s(z))) = s(elem!1)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[4794, 21340])).
% 4.24/4.44 tff(21342,plain,
% 4.24/4.44 (s(elem!1) = s(s(s(z)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[3985, 21341])).
% 4.24/4.44 tff(21343,plain,
% 4.24/4.44 (~(s(s(s(elem!1))) = elem!1)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[3655, 21342])).
% 4.24/4.44 tff(21344,plain,
% 4.24/4.44 (r(s(s(elem!1)), s(z)) <=> r(s(s(s(s(z)))), s(z))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21101])).
% 4.24/4.44 tff(21345,plain,
% 4.24/4.44 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.24/4.44 inference(symmetry,[status(thm)],[21344])).
% 4.24/4.44 tff(21346,plain,
% 4.24/4.44 (r(s(s(elem!1)), s(z))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21224, 21345])).
% 4.24/4.44 tff(21347,plain,
% 4.24/4.44 (b(s(s(elem!1)), z) <=> b(s(s(s(s(z)))), z)),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21101])).
% 4.24/4.44 tff(21348,plain,
% 4.24/4.44 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 4.24/4.44 inference(symmetry,[status(thm)],[21347])).
% 4.24/4.44 tff(21349,plain,
% 4.24/4.44 (b(s(s(elem!1)), z)),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[175, 21348])).
% 4.24/4.44 tff(21350,plain,
% 4.24/4.44 (b(z, s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[2324, 21263, 21101])).
% 4.24/4.44 tff(21351,plain,
% 4.24/4.44 (b(z, elem!1) <=> b(z, s(s(z)))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21228])).
% 4.24/4.44 tff(21352,plain,
% 4.24/4.44 (b(z, s(s(z))) <=> b(z, elem!1)),
% 4.24/4.44 inference(symmetry,[status(thm)],[21351])).
% 4.24/4.44 tff(21353,plain,
% 4.24/4.44 (b(z, elem!1)),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21336, 21352])).
% 4.24/4.44 tff(21354,plain,
% 4.24/4.44 (~b(elem!1, s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[8965, 21353, 21350, 21273, 21349])).
% 4.24/4.44 tff(21355,plain,
% 4.24/4.44 (r(elem!1, s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[321, 21354, 137])).
% 4.24/4.44 tff(21356,plain,
% 4.24/4.44 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[17895, 21355, 21346, 21343, 21339, 21253, 21315])).
% 4.24/4.44 tff(21357,plain,
% 4.24/4.44 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1292, 21356, 2180])).
% 4.24/4.44 tff(21358,plain,
% 4.24/4.44 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(s(z))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21226])).
% 4.24/4.44 tff(21359,plain,
% 4.24/4.44 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.24/4.44 inference(symmetry,[status(thm)],[21358])).
% 4.24/4.44 tff(21360,plain,
% 4.24/4.44 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.24/4.44 inference(symmetry,[status(thm)],[21227])).
% 4.24/4.44 tff(21361,plain,
% 4.24/4.44 (s(s(z)) = elem!1),
% 4.24/4.44 inference(transitivity,[status(thm)],[53, 21360, 199])).
% 4.24/4.44 tff(21362,plain,
% 4.24/4.44 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21361])).
% 4.24/4.44 tff(21363,plain,
% 4.24/4.44 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.24/4.44 inference(transitivity,[status(thm)],[21362, 21359])).
% 4.24/4.44 tff(21364,plain,
% 4.24/4.44 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[18385, 21338, 20882, 20842, 21224])).
% 4.24/4.44 tff(21365,plain,
% 4.24/4.44 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[534, 21364])).
% 4.24/4.44 tff(21366,plain,
% 4.24/4.44 (r(elem!1, s(elem!1))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21365, 21363])).
% 4.24/4.44 tff(21367,plain,
% 4.24/4.44 (~(elem!1 = s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1924, 21343])).
% 4.24/4.44 tff(21368,plain,
% 4.24/4.44 (~r(elem!1, s(z))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[9053, 21339, 21346])).
% 4.24/4.44 tff(21369,plain,
% 4.24/4.44 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1463, 21338, 20842, 20882, 21224])).
% 4.24/4.44 tff(21370,plain,
% 4.24/4.44 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1011, 21369])).
% 4.24/4.44 tff(21371,plain,
% 4.24/4.44 (b(s(s(elem!1)), s(elem!1))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[10701, 21370, 21101])).
% 4.24/4.44 tff(21372,plain,
% 4.24/4.44 (b(z, s(elem!1)) <=> b(z, s(s(s(z))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21226])).
% 4.24/4.44 tff(21373,plain,
% 4.24/4.44 (b(z, s(s(s(z)))) <=> b(z, s(elem!1))),
% 4.24/4.44 inference(symmetry,[status(thm)],[21372])).
% 4.24/4.44 tff(21374,plain,
% 4.24/4.44 (b(z, s(elem!1))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[3348, 21373])).
% 4.24/4.44 tff(21375,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21376,plain,
% 4.24/4.44 (((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21377,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21376])).
% 4.24/4.44 tff(21378,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))))),
% 4.24/4.44 inference(transitivity,[status(thm)],[21377, 21375])).
% 4.24/4.44 tff(21379,plain,
% 4.24/4.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))),
% 4.24/4.44 inference(quant_inst,[status(thm)],[])).
% 4.24/4.44 tff(21380,plain,
% 4.24/4.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1)))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21379, 21378])).
% 4.24/4.44 tff(21381,plain,
% 4.24/4.44 ($false),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21380, 338, 1595, 6387, 8722, 1597, 316, 878])).
% 4.24/4.44 tff(21382,plain,((~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.44 tff(21383,plain,
% 4.24/4.44 (~b(z, s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21382, 21357, 21374, 21350, 21349, 21371])).
% 4.24/4.44 tff(21384,plain,
% 4.24/4.44 (r(z, s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1373, 21383])).
% 4.24/4.44 tff(21385,plain,
% 4.24/4.44 (~r(s(z), s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[5440, 21384, 405])).
% 4.24/4.44 tff(21386,plain,
% 4.24/4.44 (b(s(z), s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1870, 21385])).
% 4.24/4.44 tff(21387,plain,
% 4.24/4.44 (~b(elem!1, s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[17391, 21386, 405, 21232, 21368, 21350, 21357, 21252])).
% 4.24/4.44 tff(21388,plain,
% 4.24/4.44 (r(elem!1, s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1946, 21387, 21367])).
% 4.24/4.44 tff(21389,plain,
% 4.24/4.44 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[8791, 21388, 210, 21339, 21366, 21357])).
% 4.24/4.44 tff(21390,plain,
% 4.24/4.44 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[6487, 21388, 21339])).
% 4.24/4.44 tff(21391,plain,
% 4.24/4.44 ($false),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[2619, 21390, 21389, 7060])).
% 4.24/4.44 tff(21392,plain,((~r(z, s(z))) | (~r(s(z), z)) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.44 tff(21393,plain,
% 4.24/4.44 (~r(z, s(z))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21392, 405, 137, 175, 3348, 129, 62])).
% 4.24/4.44 tff(21394,plain,
% 4.24/4.44 (b(z, s(z))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[403, 21393])).
% 4.24/4.44 tff(21395,plain,
% 4.24/4.44 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[16143, 370, 911])).
% 4.24/4.44 tff(21396,plain,
% 4.24/4.44 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[14568, 370, 911])).
% 4.24/4.44 tff(21397,plain,
% 4.24/4.44 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[19482, 21396, 405, 3348, 458, 21395])).
% 4.24/4.44 tff(21398,plain,
% 4.24/4.44 (~b(s(s(elem!1)), z)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[881, 21397, 129])).
% 4.24/4.44 tff(21399,plain,
% 4.24/4.44 (r(s(s(elem!1)), z)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[800, 21398])).
% 4.24/4.44 tff(21400,plain,
% 4.24/4.44 (s(z) = elem!1),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1237, 21397])).
% 4.24/4.44 tff(21401,plain,
% 4.24/4.44 (s(s(z)) = s(elem!1)),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21400])).
% 4.24/4.44 tff(21402,plain,
% 4.24/4.44 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21401])).
% 4.24/4.44 tff(21403,plain,
% 4.24/4.44 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21402])).
% 4.24/4.44 tff(21404,plain,
% 4.24/4.44 (r(z, s(s(s(s(z))))) <=> r(z, s(s(s(elem!1))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21403])).
% 4.24/4.44 tff(21405,plain,
% 4.24/4.44 (r(z, s(s(s(elem!1))))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[371, 21404])).
% 4.24/4.44 tff(21406,plain,
% 4.24/4.44 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21403])).
% 4.24/4.44 tff(21407,plain,
% 4.24/4.44 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[370, 21406])).
% 4.24/4.44 tff(21408,plain,
% 4.24/4.44 ($false),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[7217, 21407, 21405, 21399])).
% 4.24/4.44 tff(21409,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | b(s(s(s(z))), z) | (~r(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.44 tff(21410,plain,
% 4.24/4.44 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21409, 911, 129, 405, 3348, 458, 13914])).
% 4.24/4.44 tff(21411,plain,
% 4.24/4.44 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[368, 21410, 62])).
% 4.24/4.44 tff(21412,plain,
% 4.24/4.44 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21411])).
% 4.24/4.44 tff(21413,plain,
% 4.24/4.44 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.44 inference(symmetry,[status(thm)],[21412])).
% 4.24/4.44 tff(21414,plain,
% 4.24/4.44 (r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[911, 21413])).
% 4.24/4.44 tff(21415,plain,
% 4.24/4.44 (~b(z, s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[18489, 21411, 386])).
% 4.24/4.44 tff(21416,plain,
% 4.24/4.44 (r(z, s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[161, 21415])).
% 4.24/4.44 tff(21417,plain,
% 4.24/4.44 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[11433, 21416, 136])).
% 4.24/4.44 tff(21418,plain,
% 4.24/4.44 ($false),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21417, 21414])).
% 4.24/4.44 tff(21419,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | b(z, s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(z))), z) | (~r(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.44 tff(21420,plain,
% 4.24/4.44 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21419, 386, 62, 129, 405, 3348, 458])).
% 4.24/4.44 tff(21421,plain,
% 4.24/4.44 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[689, 21420])).
% 4.24/4.44 tff(21422,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21423,plain,
% 4.24/4.44 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21424,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21423])).
% 4.24/4.44 tff(21425,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.44 inference(transitivity,[status(thm)],[21424, 21422])).
% 4.24/4.44 tff(21426,plain,
% 4.24/4.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 4.24/4.44 inference(quant_inst,[status(thm)],[])).
% 4.24/4.44 tff(21427,plain,
% 4.24/4.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21426, 21425])).
% 4.24/4.44 tff(21428,plain,
% 4.24/4.44 ($false),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21427, 338, 486, 20842, 3348, 458, 21109, 21421])).
% 4.24/4.44 tff(21429,plain,(b(z, s(s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(z))), z) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.44 tff(21430,plain,
% 4.24/4.44 (b(z, s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21429, 21394, 3348, 20882, 62, 129, 405])).
% 4.24/4.44 tff(21431,assumption,(~r(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 4.24/4.44 tff(21432,plain,
% 4.24/4.44 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[689, 21431])).
% 4.24/4.44 tff(21433,plain,
% 4.24/4.44 (~(s(z) = elem!1)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[10349, 21432, 62])).
% 4.24/4.44 tff(21434,plain,
% 4.24/4.44 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[1237, 21433])).
% 4.24/4.44 tff(21435,plain,
% 4.24/4.44 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21436,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.44 inference(monotonicity,[status(thm)],[21435])).
% 4.24/4.44 tff(21437,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.44 inference(transitivity,[status(thm)],[21436, 21422])).
% 4.24/4.44 tff(21438,plain,
% 4.24/4.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 4.24/4.44 inference(quant_inst,[status(thm)],[])).
% 4.24/4.44 tff(21439,plain,
% 4.24/4.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.24/4.44 inference(modus_ponens,[status(thm)],[21438, 21437])).
% 4.24/4.44 tff(21440,plain,
% 4.24/4.44 ($false),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21439, 338, 486, 457, 3348, 458, 651, 539])).
% 4.24/4.44 tff(21441,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.44 tff(21442,plain,
% 4.24/4.44 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[21441, 21432, 20848, 3348, 458, 486])).
% 4.24/4.44 tff(21443,plain,
% 4.24/4.44 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[106, 21442])).
% 4.24/4.44 tff(21444,plain,
% 4.24/4.44 (b(s(s(elem!1)), z)),
% 4.24/4.44 inference(unit_resolution,[status(thm)],[800, 18898])).
% 4.24/4.44 tff(21445,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21446,plain,
% 4.24/4.44 (((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.24/4.44 inference(rewrite,[status(thm)],[])).
% 4.24/4.44 tff(21447,plain,
% 4.24/4.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21446])).
% 4.24/4.45 tff(21448,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.24/4.45 inference(transitivity,[status(thm)],[21447, 21445])).
% 4.24/4.45 tff(21449,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 4.24/4.45 inference(quant_inst,[status(thm)],[])).
% 4.24/4.45 tff(21450,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 4.24/4.45 tff(21451,plain,
% 4.24/4.45 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21450, 338, 486, 457, 3348, 458, 6734])).
% 4.24/4.45 tff(21452,plain,
% 4.24/4.45 (r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[6754, 21451, 871])).
% 4.24/4.45 tff(21453,plain,
% 4.24/4.45 (~r(z, s(s(elem!1)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[11433, 21452, 426])).
% 4.24/4.45 tff(21454,plain,
% 4.24/4.45 (b(z, s(s(elem!1)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[161, 21453])).
% 4.24/4.45 tff(21455,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(21456,plain,
% 4.24/4.45 (((~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z)))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(21457,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21456])).
% 4.24/4.45 tff(21458,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.24/4.45 inference(transitivity,[status(thm)],[21457, 21455])).
% 4.24/4.45 tff(21459,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))))),
% 4.24/4.45 inference(quant_inst,[status(thm)],[])).
% 4.24/4.45 tff(21460,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 4.24/4.45 tff(21461,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21460, 338, 21454, 21444, 16542, 486, 6734])).
% 4.24/4.45 tff(21462,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(21463,plain,
% 4.24/4.45 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21462, 21443, 426, 21434, 20848, 3348, 458, 486])).
% 4.24/4.45 tff(21464,plain,
% 4.24/4.45 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[368, 21463, 62])).
% 4.24/4.45 tff(21465,plain,
% 4.24/4.45 (r(s(s(elem!1)), s(s(z))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21464])).
% 4.24/4.45 tff(21466,plain,
% 4.24/4.45 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), s(s(z)))),
% 4.24/4.45 inference(symmetry,[status(thm)],[21465])).
% 4.24/4.45 tff(21467,plain,
% 4.24/4.45 (~(elem!1 = s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[696, 21433])).
% 4.24/4.45 tff(21468,plain,
% 4.24/4.45 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21464])).
% 4.24/4.45 tff(21469,plain,
% 4.24/4.45 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.24/4.45 inference(symmetry,[status(thm)],[21468])).
% 4.24/4.45 tff(21470,plain,
% 4.24/4.45 (r(s(z), s(s(elem!1)))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21443, 21469])).
% 4.24/4.45 tff(21471,plain,
% 4.24/4.45 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21464])).
% 4.24/4.45 tff(21472,plain,
% 4.24/4.45 (s(elem!1) = s(s(s(z)))),
% 4.24/4.45 inference(transitivity,[status(thm)],[182, 21471, 44])).
% 4.24/4.45 tff(21473,plain,
% 4.24/4.45 (b(s(elem!1), s(z)) <=> b(s(s(s(z))), s(z))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21472])).
% 4.24/4.45 tff(21474,plain,
% 4.24/4.45 (b(s(s(s(z))), s(z)) <=> b(s(elem!1), s(z))),
% 4.24/4.45 inference(symmetry,[status(thm)],[21473])).
% 4.24/4.45 tff(21475,plain,
% 4.24/4.45 (b(s(elem!1), s(z))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[458, 21474])).
% 4.24/4.45 tff(21476,plain,
% 4.24/4.45 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21472])).
% 4.24/4.45 tff(21477,plain,
% 4.24/4.45 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.24/4.45 inference(symmetry,[status(thm)],[21476])).
% 4.24/4.45 tff(21478,plain,
% 4.24/4.45 (b(s(elem!1), s(s(s(s(z)))))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21432, 21477])).
% 4.24/4.45 tff(21479,plain,
% 4.24/4.45 (b(z, s(elem!1)) <=> b(z, s(s(s(z))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21472])).
% 4.24/4.45 tff(21480,plain,
% 4.24/4.45 (b(z, s(s(s(z)))) <=> b(z, s(elem!1))),
% 4.24/4.45 inference(symmetry,[status(thm)],[21479])).
% 4.24/4.45 tff(21481,plain,
% 4.24/4.45 (b(z, s(elem!1))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[3348, 21480])).
% 4.24/4.45 tff(21482,plain,
% 4.24/4.45 (b(z, s(s(elem!1)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[2324, 178, 555])).
% 4.24/4.45 tff(21483,plain,
% 4.24/4.45 (~r(elem!1, s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[17366, 21178, 137, 405, 21482, 19404, 721])).
% 4.24/4.45 tff(21484,plain,
% 4.24/4.45 (b(elem!1, s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[819, 21483, 720])).
% 4.24/4.45 tff(21485,plain,
% 4.24/4.45 (~r(z, s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[619, 70, 405])).
% 4.24/4.45 tff(21486,plain,
% 4.24/4.45 (b(z, s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[563, 21485])).
% 4.24/4.45 tff(21487,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[2501, 82, 405, 70, 3893])).
% 4.24/4.45 tff(21488,plain,((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(21489,plain,
% 4.24/4.45 (~r(s(s(z)), z)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21488, 70, 405])).
% 4.24/4.45 tff(21490,plain,
% 4.24/4.45 (b(s(s(z)), z)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[956, 21489])).
% 4.24/4.45 tff(21491,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[2496, 21490, 21486, 175, 555, 540])).
% 4.24/4.45 tff(21492,plain,((~r(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(21493,plain,
% 4.24/4.45 (~r(s(z), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21492, 540, 555, 175, 405])).
% 4.24/4.45 tff(21494,plain,
% 4.24/4.45 (b(s(z), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[455, 21493])).
% 4.24/4.45 tff(21495,plain,
% 4.24/4.45 (b(s(z), elem!1)),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21494, 21183])).
% 4.24/4.45 tff(21496,plain,
% 4.24/4.45 (~b(elem!1, s(elem!1))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[9859, 21495, 3084, 21104, 21484])).
% 4.24/4.45 tff(21497,plain,
% 4.24/4.45 (r(elem!1, s(elem!1))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[252, 21496, 232])).
% 4.24/4.45 tff(21498,plain,
% 4.24/4.45 (~r(elem!1, z)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[18321, 21495, 405, 720, 426, 20848, 21120])).
% 4.24/4.45 tff(21499,plain,
% 4.24/4.45 (b(elem!1, z)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[846, 21498, 19404])).
% 4.24/4.45 tff(21500,plain,
% 4.24/4.45 (~b(elem!1, s(s(elem!1)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[17364, 21499, 17834, 21482, 21178])).
% 4.24/4.45 tff(21501,plain,
% 4.24/4.45 (r(elem!1, s(s(elem!1)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[321, 21500, 137])).
% 4.24/4.45 tff(21502,plain,
% 4.24/4.45 (~r(s(s(elem!1)), s(elem!1))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[2715, 21501, 21497])).
% 4.24/4.45 tff(21503,plain,
% 4.24/4.45 (b(s(s(elem!1)), s(elem!1))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[277, 21502, 225])).
% 4.24/4.45 tff(21504,plain,
% 4.24/4.45 (b(s(s(s(s(z)))), s(elem!1))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21503, 10697])).
% 4.24/4.45 tff(21505,plain,
% 4.24/4.45 (b(s(s(s(s(z)))), elem!1)),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[540, 19285])).
% 4.24/4.45 tff(21506,plain,
% 4.24/4.45 (~b(z, elem!1)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[18305, 21495, 405, 20848, 21482, 721, 21120, 426, 720, 137, 21178])).
% 4.24/4.45 tff(21507,plain,
% 4.24/4.45 (r(z, elem!1)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[353, 21506, 16907])).
% 4.24/4.45 tff(21508,plain,
% 4.24/4.45 (~r(s(elem!1), elem!1)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[2764, 21507, 17837])).
% 4.24/4.45 tff(21509,plain,
% 4.24/4.45 (b(s(elem!1), elem!1)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[312, 21508, 294])).
% 4.24/4.45 tff(21510,plain,
% 4.24/4.45 (~b(s(s(s(s(z)))), s(elem!1))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[8710, 21509, 175, 1597, 3681, 21505])).
% 4.24/4.45 tff(21511,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21510, 21504])).
% 4.24/4.45 tff(21512,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (elem!1 = s(s(elem!1))) | (~b(s(elem!1), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (elem!1 = s(z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(21513,plain,
% 4.24/4.45 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21512, 21464, 175, 21481, 21478, 137, 21475, 405, 21470, 426, 21467, 555])).
% 4.24/4.45 tff(21514,plain,
% 4.24/4.45 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[68, 21513])).
% 4.24/4.45 tff(21515,plain,
% 4.24/4.45 (r(s(s(elem!1)), s(s(z)))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21514, 21466])).
% 4.24/4.45 tff(21516,plain,
% 4.24/4.45 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21464])).
% 4.24/4.45 tff(21517,plain,
% 4.24/4.45 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.45 inference(symmetry,[status(thm)],[21516])).
% 4.24/4.45 tff(21518,plain,
% 4.24/4.45 ((~r(s(s(s(z))), s(s(s(s(z)))))) <=> (~r(s(s(s(z))), s(s(elem!1))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21517])).
% 4.24/4.45 tff(21519,plain,
% 4.24/4.45 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21431, 21518])).
% 4.24/4.45 tff(21520,plain,
% 4.24/4.45 (r(s(s(elem!1)), s(s(s(z))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[19482, 21519, 405, 3348, 458, 21434])).
% 4.24/4.45 tff(21521,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(21522,plain,
% 4.24/4.45 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(21523,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21522])).
% 4.24/4.45 tff(21524,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.45 inference(transitivity,[status(thm)],[21523, 21521])).
% 4.24/4.45 tff(21525,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 4.24/4.45 inference(quant_inst,[status(thm)],[])).
% 4.24/4.45 tff(21526,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21525, 21524])).
% 4.24/4.45 tff(21527,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21526, 338, 486, 3348, 2911, 539, 175, 555])).
% 4.24/4.45 tff(21528,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(21529,plain,
% 4.24/4.45 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21528, 21432, 3348, 486, 175, 555])).
% 4.24/4.45 tff(21530,plain,
% 4.24/4.45 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[119, 21529])).
% 4.24/4.45 tff(21531,plain,
% 4.24/4.45 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[18385, 21514, 458, 20848, 21530])).
% 4.24/4.45 tff(21532,plain,
% 4.24/4.45 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[534, 21531])).
% 4.24/4.45 tff(21533,plain,
% 4.24/4.45 (~r(s(s(elem!1)), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[17012, 21532, 21520])).
% 4.24/4.45 tff(21534,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21533, 21515])).
% 4.24/4.45 tff(21535,plain,(r(s(s(s(z))), s(s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(21536,plain,
% 4.24/4.45 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21535, 405, 175, 137, 20882, 136, 21430, 3348, 21394, 62])).
% 4.24/4.45 tff(21537,plain,
% 4.24/4.45 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[113, 70, 71])).
% 4.24/4.45 tff(21538,plain,
% 4.24/4.45 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[119, 21537])).
% 4.24/4.45 tff(21539,plain,
% 4.24/4.45 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[90, 70, 71])).
% 4.24/4.45 tff(21540,plain,
% 4.24/4.45 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[106, 21539])).
% 4.24/4.45 tff(21541,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[6869, 21540, 21538, 175, 486, 555])).
% 4.24/4.45 tff(21542,plain,((~r(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(21543,plain,
% 4.24/4.45 (~r(s(z), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21542, 71, 486, 555, 175])).
% 4.24/4.45 tff(21544,plain,
% 4.24/4.45 (b(s(z), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[455, 21543])).
% 4.24/4.45 tff(21545,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(21546,plain,
% 4.24/4.45 (((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(21547,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21546])).
% 4.24/4.45 tff(21548,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.45 inference(transitivity,[status(thm)],[21547, 21545])).
% 4.24/4.45 tff(21549,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 4.24/4.45 inference(quant_inst,[status(thm)],[])).
% 4.24/4.45 tff(21550,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 4.24/4.45 tff(21551,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21550, 338, 486, 457, 3348, 458, 21127, 21544])).
% 4.24/4.45 tff(21552,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(21553,plain,
% 4.24/4.45 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21552, 21394, 20842, 3348, 20882, 21430, 175, 21536])).
% 4.24/4.45 tff(21554,plain,
% 4.24/4.45 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[68, 21553])).
% 4.24/4.45 tff(21555,plain,
% 4.24/4.45 (~r(s(z), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[21492, 21554, 21430, 175, 405])).
% 4.24/4.45 tff(21556,plain,
% 4.24/4.45 (b(s(z), s(s(z)))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[455, 21555])).
% 4.24/4.45 tff(21557,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(21558,plain,
% 4.24/4.45 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(21559,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[21558])).
% 4.24/4.45 tff(21560,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.24/4.45 inference(transitivity,[status(thm)],[21559, 21557])).
% 4.24/4.45 tff(21561,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 4.24/4.45 inference(quant_inst,[status(thm)],[])).
% 4.24/4.45 tff(21562,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21561, 21560])).
% 4.24/4.46 tff(21563,plain,
% 4.24/4.46 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21562, 338, 21394, 3348, 20882, 21556, 21554])).
% 4.24/4.46 tff(21564,plain,
% 4.24/4.46 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[106, 21563])).
% 4.24/4.46 tff(21565,plain,
% 4.24/4.46 (b(s(elem!1), elem!1) <=> b(s(s(s(z))), elem!1)),
% 4.24/4.46 inference(monotonicity,[status(thm)],[183])).
% 4.24/4.46 tff(21566,plain,
% 4.24/4.46 (b(s(s(s(z))), elem!1) <=> b(s(elem!1), elem!1)),
% 4.24/4.46 inference(symmetry,[status(thm)],[21565])).
% 4.24/4.46 tff(21567,plain,
% 4.24/4.46 ((~b(s(s(s(z))), elem!1)) <=> (~b(s(elem!1), elem!1))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21566])).
% 4.24/4.46 tff(21568,plain,
% 4.24/4.46 (b(s(z), elem!1)),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[474, 21183])).
% 4.24/4.46 tff(21569,plain,
% 4.24/4.46 (~r(elem!1, s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[17366, 21178, 137, 405, 21482, 19404, 17865])).
% 4.24/4.46 tff(21570,plain,
% 4.24/4.46 (b(elem!1, s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[819, 21569, 21182])).
% 4.24/4.46 tff(21571,plain,
% 4.24/4.46 (~b(s(s(s(z))), elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[6908, 21570, 458, 20848, 21568])).
% 4.24/4.46 tff(21572,plain,
% 4.24/4.46 (~b(s(elem!1), elem!1)),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21571, 21567])).
% 4.24/4.46 tff(21573,plain,
% 4.24/4.46 (~b(z, elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[18305, 21568, 405, 20848, 21482, 17865, 21120, 426, 21182, 137, 21178])).
% 4.24/4.46 tff(21574,plain,
% 4.24/4.46 (r(z, elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[353, 21573, 16907])).
% 4.24/4.46 tff(21575,plain,
% 4.24/4.46 (~r(s(elem!1), elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[2764, 21574, 17837])).
% 4.24/4.46 tff(21576,plain,
% 4.24/4.46 (b(s(elem!1), elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[312, 21575, 294])).
% 4.24/4.46 tff(21577,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21576, 21572])).
% 4.24/4.46 tff(21578,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(21579,plain,
% 4.24/4.46 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21578, 405, 137, 20882, 136, 21554, 21556, 21564, 21430])).
% 4.24/4.46 tff(21580,plain,
% 4.24/4.46 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[368, 21579, 62])).
% 4.24/4.46 tff(21581,plain,
% 4.24/4.46 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21462, 21580, 136, 21564, 20842, 3348, 20882, 21394])).
% 4.24/4.46 tff(21582,plain,
% 4.24/4.46 (s(z) = elem!1),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1237, 21581])).
% 4.24/4.46 tff(21583,plain,
% 4.24/4.46 (s(s(z)) = s(elem!1)),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21582])).
% 4.24/4.46 tff(21584,plain,
% 4.24/4.46 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21583])).
% 4.24/4.46 tff(21585,plain,
% 4.24/4.46 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21462, 19114, 136, 21564, 20842, 3348, 20882, 21394])).
% 4.24/4.46 tff(21586,plain,
% 4.24/4.46 (~b(s(s(elem!1)), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[881, 21585, 129])).
% 4.24/4.46 tff(21587,plain,
% 4.24/4.46 (s(z) = elem!1),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1237, 21585])).
% 4.24/4.46 tff(21588,plain,
% 4.24/4.46 (r(elem!1, z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[867, 21587, 405])).
% 4.24/4.46 tff(21589,plain,
% 4.24/4.46 (r(s(s(elem!1)), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[800, 21586])).
% 4.24/4.46 tff(21590,plain,
% 4.24/4.46 (~r(s(s(elem!1)), elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[891, 21589, 21588])).
% 4.24/4.46 tff(21591,plain,
% 4.24/4.46 (b(s(s(elem!1)), elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[327, 21590, 197])).
% 4.24/4.46 tff(21592,plain,
% 4.24/4.46 (~(z = elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[906, 21591, 21586])).
% 4.24/4.46 tff(21593,plain,
% 4.24/4.46 (~(s(elem!1) = s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1912, 21592])).
% 4.24/4.46 tff(21594,plain,
% 4.24/4.46 (s(s(z)) = s(elem!1)),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21587])).
% 4.24/4.46 tff(21595,plain,
% 4.24/4.46 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21594])).
% 4.24/4.46 tff(21596,plain,
% 4.24/4.46 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21595])).
% 4.24/4.46 tff(21597,plain,
% 4.24/4.46 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21596])).
% 4.24/4.46 tff(21598,plain,
% 4.24/4.46 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21587])).
% 4.24/4.46 tff(21599,plain,
% 4.24/4.46 (r(s(s(s(s(z)))), elem!1)),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[108, 21598])).
% 4.24/4.46 tff(21600,plain,
% 4.24/4.46 (r(s(s(s(elem!1))), elem!1)),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21599, 21597])).
% 4.24/4.46 tff(21601,plain,
% 4.24/4.46 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21594])).
% 4.24/4.46 tff(21602,plain,
% 4.24/4.46 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21587])).
% 4.24/4.46 tff(21603,plain,
% 4.24/4.46 (b(elem!1, s(s(z)))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21556, 21602])).
% 4.24/4.46 tff(21604,plain,
% 4.24/4.46 (b(elem!1, s(elem!1))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21603, 21601])).
% 4.24/4.46 tff(21605,plain,
% 4.24/4.46 (~r(elem!1, s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[17270, 21589, 21588])).
% 4.24/4.46 tff(21606,plain,
% 4.24/4.46 (b(elem!1, s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[321, 21605, 137])).
% 4.24/4.46 tff(21607,plain,
% 4.24/4.46 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21596])).
% 4.24/4.46 tff(21608,plain,
% 4.24/4.46 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21587])).
% 4.24/4.46 tff(21609,plain,
% 4.24/4.46 (r(elem!1, s(s(s(s(z)))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21564, 21608])).
% 4.24/4.46 tff(21610,plain,
% 4.24/4.46 (r(elem!1, s(s(s(elem!1))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21609, 21607])).
% 4.24/4.46 tff(21611,plain,
% 4.24/4.46 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[14568, 19114, 21536])).
% 4.24/4.46 tff(21612,plain,
% 4.24/4.46 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16143, 19114, 21536])).
% 4.24/4.46 tff(21613,plain,
% 4.24/4.46 (b(z, s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[19473, 21612, 20882, 405, 3348, 21611])).
% 4.24/4.46 tff(21614,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21596])).
% 4.24/4.46 tff(21615,plain,
% 4.24/4.46 (b(s(s(s(elem!1))), z)),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[175, 21614])).
% 4.24/4.46 tff(21616,plain,
% 4.24/4.46 (elem!1 = s(z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[752, 21587])).
% 4.24/4.46 tff(21617,plain,
% 4.24/4.46 (~r(z, elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[899, 21616, 21393])).
% 4.24/4.46 tff(21618,plain,
% 4.24/4.46 (b(z, elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[353, 21592, 21617])).
% 4.24/4.46 tff(21619,plain,
% 4.24/4.46 (~b(z, s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[12862, 1796, 1596, 1021, 306, 315, 215, 1269])).
% 4.24/4.46 tff(21620,plain,
% 4.24/4.46 (r(z, s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1615, 21619])).
% 4.24/4.46 tff(21621,plain,
% 4.24/4.46 (~r(s(s(elem!1)), s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[9003, 21620, 787])).
% 4.24/4.46 tff(21622,plain,
% 4.24/4.46 (b(s(s(elem!1)), s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[277, 21621, 7154])).
% 4.24/4.46 tff(21623,plain,
% 4.24/4.46 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[2040, 21622, 1950, 762, 306, 763])).
% 4.24/4.46 tff(21624,plain,
% 4.24/4.46 (b(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1515, 21623, 215])).
% 4.24/4.46 tff(21625,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(21626,plain,
% 4.24/4.46 (((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1)))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(21627,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21626])).
% 4.24/4.46 tff(21628,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)))),
% 4.24/4.46 inference(transitivity,[status(thm)],[21627, 21625])).
% 4.24/4.46 tff(21629,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))))),
% 4.24/4.46 inference(quant_inst,[status(thm)],[])).
% 4.24/4.46 tff(21630,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21629, 21628])).
% 4.24/4.46 tff(21631,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21630, 338, 1021, 763, 1596, 8722, 21624, 1796])).
% 4.24/4.46 tff(21632,plain,((~b(s(elem!1), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(s(s(elem!1)), z)) | (~b(elem!1, s(elem!1))) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(21633,plain,
% 4.24/4.46 (~b(s(elem!1), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21632, 21618, 21591, 21615, 21613, 210, 21610, 21606, 294, 21589, 21604, 21600])).
% 4.24/4.46 tff(21634,plain,
% 4.24/4.46 (r(s(elem!1), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1812, 21633])).
% 4.24/4.46 tff(21635,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[2085, 82, 1815, 405, 3047])).
% 4.24/4.46 tff(21636,plain,((~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(21637,plain,
% 4.24/4.46 (~r(s(elem!1), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21636, 21634, 405])).
% 4.24/4.46 tff(21638,plain,
% 4.24/4.46 (~b(s(elem!1), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[4887, 21634, 136, 20882, 19112, 20842])).
% 4.24/4.46 tff(21639,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[2070, 21638, 21637, 21593])).
% 4.24/4.46 tff(21640,plain,((s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z) | (~b(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(21641,plain,
% 4.24/4.46 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21640, 21579, 175, 405, 137, 129, 3348, 62])).
% 4.24/4.46 tff(21642,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[119, 21641])).
% 4.24/4.46 tff(21643,plain,
% 4.24/4.46 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[18442, 21642, 21394, 20842, 21556, 175])).
% 4.24/4.46 tff(21644,plain,
% 4.24/4.46 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[534, 21643])).
% 4.24/4.46 tff(21645,plain,
% 4.24/4.46 (r(s(elem!1), s(s(s(z))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21644, 21584])).
% 4.24/4.46 tff(21646,plain,
% 4.24/4.46 (~r(s(elem!1), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[20815, 21645, 136])).
% 4.24/4.46 tff(21647,plain,
% 4.24/4.46 (b(s(elem!1), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1812, 21646])).
% 4.24/4.46 tff(21648,plain,
% 4.24/4.46 (r(elem!1, z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[867, 21582, 405])).
% 4.24/4.46 tff(21649,plain,
% 4.24/4.46 (~b(s(s(elem!1)), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[881, 21581, 129])).
% 4.24/4.46 tff(21650,plain,
% 4.24/4.46 (r(s(s(elem!1)), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[800, 21649])).
% 4.24/4.46 tff(21651,plain,
% 4.24/4.46 (~r(s(s(elem!1)), elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[891, 21650, 21648])).
% 4.24/4.46 tff(21652,plain,
% 4.24/4.46 (b(s(s(elem!1)), elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[327, 21651, 197])).
% 4.24/4.46 tff(21653,plain,
% 4.24/4.46 (~r(elem!1, s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[17270, 21650, 21648])).
% 4.24/4.46 tff(21654,plain,
% 4.24/4.46 (b(elem!1, s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[321, 21653, 137])).
% 4.24/4.46 tff(21655,plain,
% 4.24/4.46 (s(s(s(z))) = s(s(elem!1))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21583])).
% 4.24/4.46 tff(21656,plain,
% 4.24/4.46 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21655])).
% 4.24/4.46 tff(21657,plain,
% 4.24/4.46 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21656])).
% 4.24/4.46 tff(21658,plain,
% 4.24/4.46 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21582])).
% 4.24/4.46 tff(21659,plain,
% 4.24/4.46 (r(elem!1, s(s(s(s(z)))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21564, 21658])).
% 4.24/4.46 tff(21660,plain,
% 4.24/4.46 (r(elem!1, s(s(s(elem!1))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21659, 21657])).
% 4.24/4.46 tff(21661,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21656])).
% 4.24/4.46 tff(21662,plain,
% 4.24/4.46 (b(s(s(s(elem!1))), z)),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[175, 21661])).
% 4.24/4.46 tff(21663,plain,
% 4.24/4.46 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 4.24/4.46 inference(symmetry,[status(thm)],[21656])).
% 4.24/4.46 tff(21664,plain,
% 4.24/4.46 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21663])).
% 4.24/4.46 tff(21665,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 4.24/4.46 inference(symmetry,[status(thm)],[21664])).
% 4.24/4.46 tff(21666,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21583])).
% 4.24/4.46 tff(21667,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), s(elem!1))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21554, 21666])).
% 4.24/4.46 tff(21668,plain,
% 4.24/4.46 (b(s(s(s(elem!1))), s(elem!1))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21667, 21665])).
% 4.24/4.46 tff(21669,plain,
% 4.24/4.46 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1412, 21582])).
% 4.24/4.46 tff(21670,plain,
% 4.24/4.46 (b(z, s(s(s(elem!1))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[2141, 21669, 21430])).
% 4.24/4.46 tff(21671,plain,
% 4.24/4.46 (~b(z, s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1804, 21647, 21670, 21668, 21662])).
% 4.24/4.46 tff(21672,plain,
% 4.24/4.46 (r(z, s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1615, 21671])).
% 4.24/4.46 tff(21673,plain,
% 4.24/4.46 (~r(s(s(elem!1)), s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[9003, 21672, 21650])).
% 4.24/4.46 tff(21674,plain,
% 4.24/4.46 (b(s(s(elem!1)), s(elem!1))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[277, 21673, 225])).
% 4.24/4.46 tff(21675,plain,
% 4.24/4.46 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[2040, 21674, 21660, 21654, 294, 21652])).
% 4.24/4.46 tff(21676,plain,
% 4.24/4.46 (b(s(elem!1), s(s(s(elem!1))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1515, 21675, 210])).
% 4.24/4.46 tff(21677,plain,
% 4.24/4.46 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[14568, 21580, 21536])).
% 4.24/4.46 tff(21678,plain,
% 4.24/4.46 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16143, 21580, 21536])).
% 4.24/4.46 tff(21679,plain,
% 4.24/4.46 (b(z, s(s(elem!1)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[19473, 21678, 20882, 405, 3348, 21677])).
% 4.24/4.46 tff(21680,plain,
% 4.24/4.46 (elem!1 = s(z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[752, 21582])).
% 4.24/4.46 tff(21681,plain,
% 4.24/4.46 (~r(z, elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[899, 21680, 21393])).
% 4.24/4.46 tff(21682,plain,
% 4.24/4.46 (~(z = elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[906, 21652, 21649])).
% 4.24/4.46 tff(21683,plain,
% 4.24/4.46 (b(z, elem!1)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[353, 21682, 21681])).
% 4.24/4.46 tff(21684,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21630, 338, 21683, 21652, 21662, 21679, 21676, 21647])).
% 4.24/4.46 tff(21685,plain,((~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | b(s(s(s(z))), z) | (~b(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(21686,plain,
% 4.24/4.46 (~r(s(z), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21685, 137, 128, 129, 19090, 62])).
% 4.24/4.46 tff(21687,plain,
% 4.24/4.46 (b(s(z), z)),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[26, 21686])).
% 4.24/4.46 tff(21688,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(21689,plain,
% 4.24/4.46 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(21690,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21689])).
% 4.24/4.46 tff(21691,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(transitivity,[status(thm)],[21690, 21688])).
% 4.24/4.46 tff(21692,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 4.24/4.46 inference(quant_inst,[status(thm)],[])).
% 4.24/4.46 tff(21693,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 4.24/4.46 tff(21694,plain,
% 4.24/4.46 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21693, 338, 1740, 458, 651, 539, 175])).
% 4.24/4.46 tff(21695,plain,
% 4.24/4.46 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[119, 21694])).
% 4.24/4.46 tff(21696,plain,
% 4.24/4.46 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[3437, 21695, 406])).
% 4.24/4.46 tff(21697,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1011, 21696])).
% 4.24/4.46 tff(21698,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[20878, 338, 3348, 458, 21697, 651, 539, 175])).
% 4.24/4.46 tff(21699,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(21700,plain,
% 4.24/4.46 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21699, 651, 458, 3348, 175, 406, 1740])).
% 4.24/4.46 tff(21701,plain,
% 4.24/4.46 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[689, 21700])).
% 4.24/4.46 tff(21702,plain,
% 4.24/4.46 (~b(z, s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[10813, 21701, 175, 1740, 371, 3348])).
% 4.24/4.46 tff(21703,plain,
% 4.24/4.46 (r(z, s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[403, 21702])).
% 4.24/4.46 tff(21704,plain,
% 4.24/4.46 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[2112, 21703, 371])).
% 4.24/4.46 tff(21705,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[119, 21704])).
% 4.24/4.46 tff(21706,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(21707,plain,
% 4.24/4.46 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(21708,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21707])).
% 4.24/4.46 tff(21709,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.24/4.46 inference(transitivity,[status(thm)],[21708, 21706])).
% 4.24/4.46 tff(21710,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.24/4.46 inference(quant_inst,[status(thm)],[])).
% 4.24/4.46 tff(21711,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[21710, 21709])).
% 4.24/4.46 tff(21712,plain,
% 4.24/4.46 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[21711, 338, 1740, 458, 651, 21705, 175])).
% 4.24/4.46 tff(21713,plain,
% 4.24/4.46 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1011, 21712])).
% 4.24/4.46 tff(21714,plain,
% 4.24/4.46 (~r(s(s(z)), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[5882, 21713, 406])).
% 4.24/4.46 tff(21715,plain,
% 4.24/4.46 (b(s(s(z)), s(s(s(z))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[534, 21714])).
% 4.24/4.46 tff(21716,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(21717,plain,
% 4.24/4.46 (((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(21718,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[21717])).
% 4.24/4.46 tff(21719,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 4.24/4.46 inference(transitivity,[status(thm)],[21718, 21716])).
% 4.24/4.46 tff(21720,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(21721,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[21720, 21719])).
% 4.24/4.47 tff(21722,plain,
% 4.24/4.47 (~b(z, s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21721, 338, 21715, 1740, 3348, 21705, 175])).
% 4.24/4.47 tff(21723,plain,
% 4.24/4.47 (r(z, s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[563, 21722])).
% 4.24/4.47 tff(21724,plain,
% 4.24/4.47 (~r(s(z), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[2492, 21723, 21703])).
% 4.24/4.47 tff(21725,plain,
% 4.24/4.47 (b(s(z), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[455, 21724])).
% 4.24/4.47 tff(21726,plain,
% 4.24/4.47 (~r(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[2514, 21723, 21703])).
% 4.24/4.47 tff(21727,plain,
% 4.24/4.47 (b(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[472, 21726])).
% 4.24/4.47 tff(21728,plain,
% 4.24/4.47 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[2919, 21727, 651, 21705, 21725])).
% 4.24/4.47 tff(21729,plain,
% 4.24/4.47 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[68, 21728])).
% 4.24/4.47 tff(21730,plain,
% 4.24/4.47 (~r(s(s(s(z))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[2472, 21729, 21701])).
% 4.24/4.47 tff(21731,plain,
% 4.24/4.47 (b(s(s(s(z))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[639, 21730])).
% 4.24/4.47 tff(21732,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21733,plain,
% 4.24/4.47 (((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21734,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[21733])).
% 4.24/4.47 tff(21735,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.47 inference(transitivity,[status(thm)],[21734, 21732])).
% 4.24/4.47 tff(21736,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(21737,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[21736, 21735])).
% 4.24/4.47 tff(21738,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21737, 338, 21715, 21727, 458, 21731, 21725])).
% 4.24/4.47 tff(21739,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21740,plain,
% 4.24/4.47 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21739, 13914, 1740, 3348, 175, 406, 458])).
% 4.24/4.47 tff(21741,plain,
% 4.24/4.47 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[106, 21740])).
% 4.24/4.47 tff(21742,plain,
% 4.24/4.47 (~r(z, s(s(elem!1)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[379, 370, 371])).
% 4.24/4.47 tff(21743,plain,
% 4.24/4.47 (~b(z, s(s(elem!1)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[18591, 370, 1740, 72, 19251])).
% 4.24/4.47 tff(21744,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[161, 21743, 21742])).
% 4.24/4.47 tff(21745,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21746,plain,
% 4.24/4.47 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21745, 21741, 1740, 13914])).
% 4.24/4.47 tff(21747,plain,
% 4.24/4.47 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[368, 21746, 62])).
% 4.24/4.47 tff(21748,plain,
% 4.24/4.47 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[21747])).
% 4.24/4.47 tff(21749,plain,
% 4.24/4.47 (s(elem!1) = s(s(s(z)))),
% 4.24/4.47 inference(transitivity,[status(thm)],[182, 21748, 44])).
% 4.24/4.47 tff(21750,plain,
% 4.24/4.47 (r(s(elem!1), z) <=> r(s(s(s(z))), z)),
% 4.24/4.47 inference(monotonicity,[status(thm)],[21749])).
% 4.24/4.47 tff(21751,plain,
% 4.24/4.47 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 4.24/4.47 inference(symmetry,[status(thm)],[21750])).
% 4.24/4.47 tff(21752,plain,
% 4.24/4.47 (r(s(elem!1), z)),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[426, 21751])).
% 4.24/4.47 tff(21753,plain,
% 4.24/4.47 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[11205, 21741, 406])).
% 4.24/4.47 tff(21754,plain,
% 4.24/4.47 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[689, 21753])).
% 4.24/4.47 tff(21755,plain,
% 4.24/4.47 (~b(z, s(s(elem!1)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[18489, 21747, 386])).
% 4.24/4.47 tff(21756,plain,
% 4.24/4.47 (r(z, s(s(elem!1)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[161, 21755])).
% 4.24/4.47 tff(21757,plain,
% 4.24/4.47 (~r(s(elem!1), z)),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[19260, 21756, 1740, 406, 21747, 3348, 21754, 175, 1496, 21741, 13914])).
% 4.24/4.47 tff(21758,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21757, 21752])).
% 4.24/4.47 tff(21759,plain,(b(z, s(s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21760,plain,
% 4.24/4.47 (b(z, s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21759, 406, 1740, 426, 3348, 175, 1496, 62, 458])).
% 4.24/4.47 tff(21761,plain,
% 4.24/4.47 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[3437, 11796, 406])).
% 4.24/4.47 tff(21762,plain,
% 4.24/4.47 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[1011, 21761])).
% 4.24/4.47 tff(21763,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21764,plain,
% 4.24/4.47 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21765,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[21764])).
% 4.24/4.47 tff(21766,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.24/4.47 inference(transitivity,[status(thm)],[21765, 21763])).
% 4.24/4.47 tff(21767,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(21768,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[21767, 21766])).
% 4.24/4.47 tff(21769,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21768, 338, 1740, 3348, 21762, 651, 175, 555])).
% 4.24/4.47 tff(21770,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21771,plain,
% 4.24/4.47 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21770, 21760, 3348, 175, 1740, 406])).
% 4.24/4.47 tff(21772,plain,
% 4.24/4.47 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[106, 21771])).
% 4.24/4.47 tff(21773,plain,
% 4.24/4.47 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[11205, 21772, 406])).
% 4.24/4.47 tff(21774,plain,
% 4.24/4.47 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[689, 21773])).
% 4.24/4.47 tff(21775,plain,
% 4.24/4.47 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[4106, 21772, 406])).
% 4.24/4.47 tff(21776,plain,
% 4.24/4.47 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[1011, 21775])).
% 4.24/4.47 tff(21777,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[11173, 338, 3348, 21776, 21774, 175, 21760])).
% 4.24/4.47 tff(21778,plain,((~r(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21779,plain,
% 4.24/4.47 (~r(s(z), s(s(s(z))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21778, 19090, 128, 21687, 136, 2119, 62, 19443])).
% 4.24/4.47 tff(21780,plain,
% 4.24/4.47 (b(s(z), s(s(s(z))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[424, 21779])).
% 4.24/4.47 tff(21781,plain,
% 4.24/4.47 (~b(z, s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[3356, 457, 3348, 458, 1740])).
% 4.24/4.47 tff(21782,plain,
% 4.24/4.47 (r(z, s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[403, 21781])).
% 4.24/4.47 tff(21783,plain,
% 4.24/4.47 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[106, 16627])).
% 4.24/4.47 tff(21784,plain,
% 4.24/4.47 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[20844, 21783, 458, 457, 5912])).
% 4.24/4.47 tff(21785,plain,
% 4.24/4.47 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[689, 21784])).
% 4.24/4.47 tff(21786,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[4987, 82, 21785, 426, 371])).
% 4.24/4.47 tff(21787,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21788,plain,
% 4.24/4.47 (~r(z, s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21787, 458, 426, 457, 21782])).
% 4.24/4.47 tff(21789,plain,
% 4.24/4.47 (b(z, s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[391, 21788])).
% 4.24/4.47 tff(21790,plain,
% 4.24/4.47 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[11153, 651, 175, 1740, 21789])).
% 4.24/4.47 tff(21791,plain,
% 4.24/4.47 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[119, 21790])).
% 4.24/4.47 tff(21792,plain,
% 4.24/4.47 (~b(z, s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[18887, 540, 1740, 555, 175, 651])).
% 4.24/4.47 tff(21793,plain,
% 4.24/4.47 (r(z, s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[563, 21792])).
% 4.24/4.47 tff(21794,plain,
% 4.24/4.47 (~r(s(z), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[2492, 21793, 1731])).
% 4.24/4.47 tff(21795,plain,
% 4.24/4.47 (b(s(z), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[455, 21794])).
% 4.24/4.47 tff(21796,plain,
% 4.24/4.47 (~r(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[2514, 21793, 1731])).
% 4.24/4.47 tff(21797,plain,
% 4.24/4.47 (b(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[472, 21796])).
% 4.24/4.47 tff(21798,plain,
% 4.24/4.47 (~b(s(s(s(z))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[20864, 338, 21797, 458, 651, 21795, 540])).
% 4.24/4.47 tff(21799,plain,
% 4.24/4.47 (r(s(s(s(z))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[639, 21798])).
% 4.24/4.47 tff(21800,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[646, 82, 426, 21793, 21799])).
% 4.24/4.47 tff(21801,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21802,plain,
% 4.24/4.47 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21801, 651, 458, 426, 21782, 1740, 21789, 175])).
% 4.24/4.47 tff(21803,plain,
% 4.24/4.47 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[68, 21802])).
% 4.24/4.47 tff(21804,plain,
% 4.24/4.47 (~r(s(z), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[113, 21803, 21791])).
% 4.24/4.47 tff(21805,plain,
% 4.24/4.47 (b(s(z), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[455, 21804])).
% 4.24/4.47 tff(21806,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21807,plain,
% 4.24/4.47 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21808,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[21807])).
% 4.24/4.47 tff(21809,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.47 inference(transitivity,[status(thm)],[21808, 21806])).
% 4.24/4.47 tff(21810,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(21811,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[21810, 21809])).
% 4.24/4.47 tff(21812,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21811, 338, 457, 1740, 3348, 458, 651, 539])).
% 4.24/4.47 tff(21813,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21814,plain,
% 4.24/4.47 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21813, 651, 1740, 3348, 458, 457])).
% 4.24/4.47 tff(21815,plain,
% 4.24/4.47 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[689, 21814])).
% 4.24/4.47 tff(21816,plain,
% 4.24/4.47 (~r(s(s(s(z))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[2472, 21803, 21815])).
% 4.24/4.47 tff(21817,plain,
% 4.24/4.47 (b(s(s(s(z))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[639, 21816])).
% 4.24/4.47 tff(21818,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21819,plain,
% 4.24/4.47 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21820,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[21819])).
% 4.24/4.47 tff(21821,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 4.24/4.47 inference(transitivity,[status(thm)],[21820, 21818])).
% 4.24/4.47 tff(21822,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(21823,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[21822, 21821])).
% 4.24/4.47 tff(21824,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21823, 338, 457, 1740, 3348, 458, 21817, 21805])).
% 4.24/4.47 tff(21825,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(21826,plain,
% 4.24/4.47 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21825, 21780, 21687, 19090, 19443, 136, 128])).
% 4.24/4.47 tff(21827,plain,
% 4.24/4.47 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[106, 21826])).
% 4.24/4.47 tff(21828,plain,
% 4.24/4.47 (~b(z, s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[3356, 21780, 19090, 19443, 21687])).
% 4.24/4.47 tff(21829,plain,
% 4.24/4.47 (r(z, s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[403, 21828])).
% 4.24/4.47 tff(21830,plain,
% 4.24/4.47 (~r(z, s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[21787, 19443, 136, 21780, 21829])).
% 4.24/4.47 tff(21831,plain,
% 4.24/4.47 (b(z, s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[391, 21830])).
% 4.24/4.47 tff(21832,plain,
% 4.24/4.47 (~r(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[2514, 556, 21782])).
% 4.24/4.47 tff(21833,plain,
% 4.24/4.47 (b(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[472, 21832])).
% 4.24/4.47 tff(21834,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21835,plain,
% 4.24/4.47 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(21836,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z)))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[21835])).
% 4.24/4.48 tff(21837,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))))),
% 4.24/4.48 inference(transitivity,[status(thm)],[21836, 21834])).
% 4.24/4.48 tff(21838,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(21839,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z)))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[21838, 21837])).
% 4.24/4.48 tff(21840,plain,
% 4.24/4.48 (~b(s(s(s(z))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21839, 338, 457, 1740, 21833, 3348, 458])).
% 4.24/4.48 tff(21841,plain,
% 4.24/4.48 (r(s(s(s(z))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[639, 21840])).
% 4.24/4.48 tff(21842,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[646, 82, 426, 556, 21841])).
% 4.24/4.48 tff(21843,plain,((~r(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21844,plain,
% 4.24/4.48 (~r(z, s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21843, 21780, 136, 21687, 19090, 19443])).
% 4.24/4.48 tff(21845,plain,
% 4.24/4.48 (b(z, s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[563, 21844])).
% 4.24/4.48 tff(21846,plain,
% 4.24/4.48 (~b(s(s(z)), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[2496, 601, 175, 555, 540])).
% 4.24/4.48 tff(21847,plain,
% 4.24/4.48 (r(s(s(z)), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[956, 21846])).
% 4.24/4.48 tff(21848,plain,
% 4.24/4.48 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[982, 601, 175, 555, 540])).
% 4.24/4.48 tff(21849,plain,
% 4.24/4.48 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[598, 21848, 61])).
% 4.24/4.48 tff(21850,plain,
% 4.24/4.48 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[593, 21849, 458, 457, 72])).
% 4.24/4.48 tff(21851,plain,
% 4.24/4.48 (r(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[534, 21850])).
% 4.24/4.48 tff(21852,plain,
% 4.24/4.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), z)))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(21853,plain,
% 4.24/4.48 (((~r(s(s(s(z))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z)))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), z)))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(21854,plain,
% 4.24/4.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), z))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[21853])).
% 4.24/4.48 tff(21855,plain,
% 4.24/4.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), z)))),
% 4.24/4.48 inference(transitivity,[status(thm)],[21854, 21852])).
% 4.24/4.48 tff(21856,plain,
% 4.24/4.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(21857,plain,
% 4.24/4.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), z))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[21856, 21855])).
% 4.24/4.48 tff(21858,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21857, 82, 21851, 426, 21847])).
% 4.24/4.48 tff(21859,plain,((~b(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21860,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21859, 21845, 19443, 21780, 21827, 128, 21831, 136])).
% 4.24/4.48 tff(21861,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[68, 21860])).
% 4.24/4.48 tff(21862,plain,
% 4.24/4.48 (~r(s(z), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[90, 21861, 21827])).
% 4.24/4.48 tff(21863,plain,
% 4.24/4.48 (b(s(z), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[455, 21862])).
% 4.24/4.48 tff(21864,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21823, 338, 457, 1740, 3348, 458, 21128, 474])).
% 4.24/4.48 tff(21865,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21866,plain,
% 4.24/4.48 (~b(s(s(s(z))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21865, 21780, 21687, 19090, 19443, 21863])).
% 4.24/4.48 tff(21867,plain,
% 4.24/4.48 (r(s(s(s(z))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[639, 21866])).
% 4.24/4.48 tff(21868,plain,
% 4.24/4.48 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[2472, 21867, 21861])).
% 4.24/4.48 tff(21869,plain,
% 4.24/4.48 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[689, 21868])).
% 4.24/4.48 tff(21870,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11173, 338, 3348, 987, 539, 175, 555])).
% 4.24/4.48 tff(21871,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21872,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21871, 21869, 19090, 128, 21831])).
% 4.24/4.48 tff(21873,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1011, 21872])).
% 4.24/4.48 tff(21874,plain,
% 4.24/4.48 (~r(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1457, 21873, 21861])).
% 4.24/4.48 tff(21875,plain,
% 4.24/4.48 (b(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[534, 21874])).
% 4.24/4.48 tff(21876,plain,
% 4.24/4.48 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[593, 21875, 19443, 21780, 21827])).
% 4.24/4.48 tff(21877,plain,
% 4.24/4.48 (b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[598, 21876, 61])).
% 4.24/4.48 tff(21878,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1463, 21873, 21780, 19443, 21861])).
% 4.24/4.48 tff(21879,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[119, 21878])).
% 4.24/4.48 tff(21880,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(21881,plain,
% 4.24/4.48 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(21882,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[21881])).
% 4.24/4.48 tff(21883,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.24/4.48 inference(transitivity,[status(thm)],[21882, 21880])).
% 4.24/4.48 tff(21884,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(21885,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[21884, 21883])).
% 4.24/4.48 tff(21886,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21885, 338, 21875, 21687, 21879, 21869, 128, 21877])).
% 4.24/4.48 tff(21887,plain,((elem!1 = s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(z))), z) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21888,plain,
% 4.24/4.48 (elem!1 = s(s(elem!1))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21887, 129, 62, 121])).
% 4.24/4.48 tff(21889,plain,
% 4.24/4.48 (r(elem!1, s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[21888])).
% 4.24/4.48 tff(21890,plain,
% 4.24/4.48 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.24/4.48 inference(symmetry,[status(thm)],[21889])).
% 4.24/4.48 tff(21891,plain,
% 4.24/4.48 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[3236, 21888])).
% 4.24/4.48 tff(21892,plain,
% 4.24/4.48 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[368, 21891, 62])).
% 4.24/4.48 tff(21893,plain,
% 4.24/4.48 (r(elem!1, s(s(s(s(z)))))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[21892, 21890])).
% 4.24/4.48 tff(21894,plain,
% 4.24/4.48 (s(s(elem!1)) = elem!1),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[2015, 21888])).
% 4.24/4.48 tff(21895,plain,
% 4.24/4.48 (s(s(s(elem!1))) = s(elem!1)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1418, 21888])).
% 4.24/4.48 tff(21896,plain,
% 4.24/4.48 ((s(z) = s(s(s(elem!1)))) <=> (s(z) = s(elem!1))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[21895])).
% 4.24/4.48 tff(21897,plain,
% 4.24/4.48 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(z))),
% 4.24/4.48 inference(transitivity,[status(thm)],[21896, 10452])).
% 4.24/4.48 tff(21898,plain,
% 4.24/4.48 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(z)))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[21897])).
% 4.24/4.48 tff(21899,plain,
% 4.24/4.48 (~(s(elem!1) = s(z))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[1263, 21898])).
% 4.24/4.48 tff(21900,plain,
% 4.24/4.48 (~(s(s(elem!1)) = s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[10916, 21899])).
% 4.24/4.48 tff(21901,plain,
% 4.24/4.48 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1428, 21895])).
% 4.24/4.48 tff(21902,plain,
% 4.24/4.48 (~r(z, s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[379, 371, 370])).
% 4.24/4.48 tff(21903,plain,
% 4.24/4.48 (b(z, s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[161, 21902])).
% 4.24/4.48 tff(21904,plain,
% 4.24/4.48 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21745, 371, 370, 1740])).
% 4.24/4.48 tff(21905,plain,
% 4.24/4.48 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[106, 21904])).
% 4.24/4.48 tff(21906,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[18581, 21905, 21903, 175, 1740, 486, 539, 62, 164])).
% 4.24/4.48 tff(21907,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21908,plain,
% 4.24/4.48 (~r(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21907, 164, 1740, 486, 539, 62, 175, 370])).
% 4.24/4.48 tff(21909,plain,
% 4.24/4.48 (b(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[391, 21908])).
% 4.24/4.48 tff(21910,plain,
% 4.24/4.48 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[3505, 21909, 175, 1740, 486])).
% 4.24/4.48 tff(21911,plain,
% 4.24/4.48 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[106, 21910])).
% 4.24/4.48 tff(21912,plain,
% 4.24/4.48 (~b(z, s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[18591, 21911, 370, 1740, 486])).
% 4.24/4.48 tff(21913,plain,
% 4.24/4.48 (r(z, s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[161, 21912])).
% 4.24/4.48 tff(21914,plain,
% 4.24/4.48 (~b(s(z), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[19378, 21913, 175, 1740, 486, 426, 871, 370])).
% 4.24/4.48 tff(21915,plain,
% 4.24/4.48 (r(s(z), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[424, 21914])).
% 4.24/4.48 tff(21916,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[4106, 21915, 21911])).
% 4.24/4.48 tff(21917,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1011, 21916])).
% 4.24/4.48 tff(21918,plain,
% 4.24/4.48 (~r(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[18536, 21915, 164, 486])).
% 4.24/4.48 tff(21919,plain,
% 4.24/4.48 (b(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[534, 21918])).
% 4.24/4.48 tff(21920,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[18635, 21909, 1740, 175, 486])).
% 4.24/4.48 tff(21921,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[119, 21920])).
% 4.24/4.48 tff(21922,plain,
% 4.24/4.48 (~r(s(z), elem!1)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[3247, 21911, 3239])).
% 4.24/4.48 tff(21923,plain,
% 4.24/4.48 (b(s(z), s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[13678, 21922, 193])).
% 4.24/4.48 tff(21924,plain,
% 4.24/4.48 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11205, 72, 406])).
% 4.24/4.48 tff(21925,plain,
% 4.24/4.48 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[689, 21924])).
% 4.24/4.48 tff(21926,plain,
% 4.24/4.48 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[13638, 19282, 21925, 19190, 19287])).
% 4.24/4.48 tff(21927,plain,
% 4.24/4.48 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[598, 21926, 61])).
% 4.24/4.48 tff(21928,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[589, 82, 72, 70, 21927])).
% 4.24/4.48 tff(21929,plain,((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21930,plain,
% 4.24/4.48 (~r(s(z), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21929, 21915, 21921, 21911])).
% 4.24/4.48 tff(21931,plain,
% 4.24/4.48 (b(s(z), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[455, 21930])).
% 4.24/4.48 tff(21932,plain,
% 4.24/4.48 (~r(s(s(elem!1)), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[6732, 21911, 370])).
% 4.24/4.48 tff(21933,plain,
% 4.24/4.48 (b(s(s(elem!1)), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[784, 21932])).
% 4.24/4.48 tff(21934,plain,
% 4.24/4.48 (~b(s(s(z)), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11303, 71, 1740, 486, 108])).
% 4.24/4.48 tff(21935,plain,
% 4.24/4.48 (r(s(s(z)), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[956, 21934])).
% 4.24/4.48 tff(21936,plain,
% 4.24/4.48 (~b(s(s(elem!1)), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[6963, 747, 1740, 486, 764])).
% 4.24/4.48 tff(21937,plain,
% 4.24/4.48 (r(s(s(elem!1)), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[800, 21936])).
% 4.24/4.48 tff(21938,plain,
% 4.24/4.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(21939,plain,
% 4.24/4.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(21940,plain,
% 4.24/4.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(z))))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[21939, 21938])).
% 4.24/4.48 tff(21941,plain,
% 4.24/4.48 (~r(s(s(elem!1)), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21940, 82, 21937, 21935])).
% 4.24/4.48 tff(21942,plain,
% 4.24/4.48 (~b(s(s(elem!1)), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11079, 473, 764, 474, 747])).
% 4.24/4.48 tff(21943,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11083, 21, 21942, 21941, 10936])).
% 4.24/4.48 tff(21944,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (s(s(elem!1)) = s(s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21945,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21944, 21933, 10936, 21931, 21923, 21921, 1740, 486])).
% 4.24/4.48 tff(21946,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[68, 21945])).
% 4.24/4.48 tff(21947,plain,
% 4.24/4.48 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[13638, 21946, 539, 21919, 21917])).
% 4.24/4.48 tff(21948,plain,
% 4.24/4.48 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[598, 21947, 61])).
% 4.24/4.48 tff(21949,plain,
% 4.24/4.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(21950,plain,
% 4.24/4.48 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z))))) <=> ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(21951,plain,
% 4.24/4.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z))))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[21950])).
% 4.24/4.48 tff(21952,plain,
% 4.24/4.48 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.24/4.48 inference(transitivity,[status(thm)],[21951, 21949])).
% 4.24/4.48 tff(21953,plain,
% 4.24/4.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(21954,plain,
% 4.24/4.48 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z))))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 4.24/4.48 tff(21955,plain,
% 4.24/4.48 (~r(s(s(elem!1)), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21954, 82, 21948, 370])).
% 4.24/4.48 tff(21956,plain,
% 4.24/4.48 (~r(s(s(z)), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[581, 82, 21911, 21948])).
% 4.24/4.48 tff(21957,plain,
% 4.24/4.48 (b(s(s(z)), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[472, 21956])).
% 4.24/4.48 tff(21958,plain,
% 4.24/4.48 (~b(s(s(elem!1)), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11079, 21957, 21933, 21931, 21923])).
% 4.24/4.48 tff(21959,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11083, 21, 21958, 21955, 10936])).
% 4.24/4.48 tff(21960,plain,((~r(z, s(s(s(z))))) | (s(s(elem!1)) = s(s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~(s(s(elem!1)) = elem!1)) | (~r(elem!1, s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21961,plain,
% 4.24/4.48 (~r(z, s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21960, 19159, 370, 10936, 18483, 19155, 175, 426, 871, 193, 3239, 62])).
% 4.24/4.48 tff(21962,plain,
% 4.24/4.48 (b(z, s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[149, 21961])).
% 4.24/4.48 tff(21963,plain,
% 4.24/4.48 (~b(z, s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[19152, 21962, 175, 427, 18483, 19155, 62])).
% 4.24/4.48 tff(21964,plain,
% 4.24/4.48 (r(z, s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[161, 21963])).
% 4.24/4.48 tff(21965,plain,
% 4.24/4.48 (~b(s(z), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[19378, 21964, 175, 18483, 19155, 426, 871, 370])).
% 4.24/4.48 tff(21966,plain,
% 4.24/4.48 (r(s(z), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[424, 21965])).
% 4.24/4.48 tff(21967,plain,
% 4.24/4.48 (~r(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[379, 21964, 370])).
% 4.24/4.48 tff(21968,plain,
% 4.24/4.48 (b(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[391, 21967])).
% 4.24/4.48 tff(21969,plain,
% 4.24/4.48 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[3505, 21968, 175, 18483, 19155])).
% 4.24/4.48 tff(21970,plain,
% 4.24/4.48 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[106, 21969])).
% 4.24/4.48 tff(21971,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21871, 21968, 19159, 175, 21962])).
% 4.24/4.48 tff(21972,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1011, 21971])).
% 4.24/4.48 tff(21973,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[4106, 21972, 21970, 21966])).
% 4.24/4.48 tff(21974,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (s(s(elem!1)) = s(s(z))) | (~(s(s(elem!1)) = elem!1)) | (~r(elem!1, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21975,plain,
% 4.24/4.48 (~r(s(s(s(z))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21974, 136, 175, 871, 370, 62, 10936, 193, 3239])).
% 4.24/4.48 tff(21976,plain,
% 4.24/4.48 (b(s(s(s(z))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[437, 21975])).
% 4.24/4.48 tff(21977,plain,
% 4.24/4.48 (~r(z, s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[414, 405, 406])).
% 4.24/4.48 tff(21978,plain,
% 4.24/4.48 (b(z, s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[149, 21977])).
% 4.24/4.48 tff(21979,plain,
% 4.24/4.48 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21409, 21978, 129, 370, 13914, 458, 405])).
% 4.24/4.48 tff(21980,plain,
% 4.24/4.48 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[689, 21979])).
% 4.24/4.48 tff(21981,plain,
% 4.24/4.48 (~b(z, s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21429, 21978, 405, 458, 62, 129, 386])).
% 4.24/4.48 tff(21982,plain,
% 4.24/4.48 (r(z, s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[403, 21981])).
% 4.24/4.48 tff(21983,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[2112, 21982, 13914])).
% 4.24/4.48 tff(21984,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[119, 21983])).
% 4.24/4.48 tff(21985,plain,
% 4.24/4.48 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[552, 405, 13914])).
% 4.24/4.48 tff(21986,plain,
% 4.24/4.48 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[106, 21985])).
% 4.24/4.48 tff(21987,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[20868, 21982, 458, 136, 405, 21986, 175, 21980])).
% 4.24/4.48 tff(21988,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[68, 21987])).
% 4.24/4.48 tff(21989,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[5782, 21984, 458, 21986, 21980])).
% 4.24/4.48 tff(21990,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1011, 21989])).
% 4.24/4.48 tff(21991,plain,
% 4.24/4.48 (~r(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1457, 21990, 21988])).
% 4.24/4.48 tff(21992,plain,
% 4.24/4.48 (b(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[534, 21991])).
% 4.24/4.48 tff(21993,plain,
% 4.24/4.48 (~b(z, s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[4118, 338, 21992, 21978, 458, 21984, 21980])).
% 4.24/4.48 tff(21994,plain,
% 4.24/4.48 (r(z, s(s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[563, 21993])).
% 4.24/4.48 tff(21995,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[4055, 82, 21988, 21994, 13914])).
% 4.24/4.48 tff(21996,plain,((~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(z))), z) | b(z, s(s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(21997,plain,
% 4.24/4.48 (~r(s(z), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21996, 386, 175, 62, 129, 458, 370, 406])).
% 4.24/4.48 tff(21998,plain,
% 4.24/4.48 (b(s(z), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[26, 21997])).
% 4.24/4.48 tff(21999,plain,
% 4.24/4.48 (~r(z, s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[379, 13914, 370])).
% 4.24/4.48 tff(22000,plain,
% 4.24/4.48 (b(z, s(s(elem!1)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[161, 21999])).
% 4.24/4.48 tff(22001,plain,
% 4.24/4.48 (~r(z, s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[18855, 21998, 458, 175, 22000, 62, 386])).
% 4.24/4.48 tff(22002,plain,
% 4.24/4.48 (b(z, s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[149, 22001])).
% 4.24/4.48 tff(22003,plain,
% 4.24/4.48 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21745, 21998, 370, 13914])).
% 4.24/4.48 tff(22004,plain,
% 4.24/4.48 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[106, 22003])).
% 4.24/4.48 tff(22005,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21739, 22004, 22002, 406, 21998, 175, 13914, 458])).
% 4.24/4.48 tff(22006,plain,(b(z, s(s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(22007,plain,
% 4.24/4.48 (b(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[22006, 406, 175, 21976, 370, 62, 129])).
% 4.24/4.48 tff(22008,plain,
% 4.24/4.48 (~r(z, s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16605, 164, 406])).
% 4.24/4.48 tff(22009,plain,
% 4.24/4.48 (b(z, s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[403, 22008])).
% 4.24/4.48 tff(22010,plain,
% 4.24/4.48 (~r(s(z), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[414, 164, 406])).
% 4.24/4.48 tff(22011,plain,
% 4.24/4.48 (b(s(z), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[26, 22010])).
% 4.24/4.48 tff(22012,plain,
% 4.24/4.48 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21960, 22011, 370, 10936, 164, 22009, 175, 426, 871, 193, 3239, 62])).
% 4.24/4.48 tff(22013,plain,
% 4.24/4.48 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16609, 22011, 406, 175, 164])).
% 4.24/4.48 tff(22014,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[689, 22013, 22012])).
% 4.24/4.48 tff(22015,plain,((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(z))) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~(s(s(elem!1)) = elem!1)) | (~r(elem!1, s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(22016,plain,
% 4.24/4.48 (~r(z, s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[22015, 406, 175, 370, 10936, 136, 871, 193, 3239, 62])).
% 4.24/4.48 tff(22017,plain,
% 4.24/4.48 (b(z, s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[149, 22016])).
% 4.24/4.48 tff(22018,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21871, 21925, 19190, 555, 175, 3348])).
% 4.24/4.48 tff(22019,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(22020,plain,
% 4.24/4.48 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[22019, 22007, 175, 22017, 406])).
% 4.24/4.48 tff(22021,plain,
% 4.24/4.48 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[106, 22020])).
% 4.24/4.48 tff(22022,plain,
% 4.24/4.48 (~b(s(z), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21770, 22021, 406, 175, 22017, 22007])).
% 4.24/4.48 tff(22023,plain,
% 4.24/4.48 (r(s(z), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[26, 22022])).
% 4.24/4.48 tff(22024,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[19482, 16980, 16978, 871, 405, 458, 3348])).
% 4.24/4.48 tff(22025,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(22026,plain,
% 4.24/4.48 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[22025, 22023, 871, 21976, 22017, 370])).
% 4.24/4.48 tff(22027,plain,
% 4.24/4.48 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[689, 22026])).
% 4.24/4.48 tff(22028,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[21871, 22027, 22007, 175, 22017])).
% 4.24/4.48 tff(22029,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1011, 22028])).
% 4.24/4.48 tff(22030,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[3437, 22029, 406])).
% 4.24/4.48 tff(22031,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[119, 22030])).
% 4.24/4.48 tff(22032,plain,
% 4.24/4.48 (~b(z, s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[6869, 22031, 175, 22021, 22007])).
% 4.24/4.48 tff(22033,plain,
% 4.24/4.48 (r(z, s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[403, 22032])).
% 4.24/4.48 tff(22034,plain,
% 4.24/4.48 (~r(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[5882, 22029, 406])).
% 4.24/4.48 tff(22035,plain,
% 4.24/4.48 (b(s(s(z)), s(s(s(z))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[534, 22034])).
% 4.24/4.48 tff(22036,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(22037,plain,
% 4.24/4.48 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(22038,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[22037])).
% 4.24/4.49 tff(22039,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.49 inference(transitivity,[status(thm)],[22038, 22036])).
% 4.24/4.49 tff(22040,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))),
% 4.24/4.49 inference(quant_inst,[status(thm)],[])).
% 4.24/4.49 tff(22041,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[22040, 22039])).
% 4.24/4.49 tff(22042,plain,
% 4.24/4.49 (~b(z, s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22041, 338, 22035, 22017, 21976, 22021, 22027])).
% 4.24/4.49 tff(22043,plain,
% 4.24/4.49 (r(z, s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[563, 22042])).
% 4.24/4.49 tff(22044,plain,
% 4.24/4.49 (~r(s(z), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[2492, 22043, 22033])).
% 4.24/4.49 tff(22045,plain,
% 4.24/4.49 (b(s(z), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[455, 22044])).
% 4.24/4.49 tff(22046,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(22047,plain,
% 4.24/4.49 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(22048,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[22047])).
% 4.24/4.49 tff(22049,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.49 inference(transitivity,[status(thm)],[22048, 22046])).
% 4.24/4.49 tff(22050,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))),
% 4.24/4.49 inference(quant_inst,[status(thm)],[])).
% 4.24/4.49 tff(22051,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[22050, 22049])).
% 4.24/4.49 tff(22052,plain,
% 4.24/4.49 (~b(s(s(z)), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22051, 338, 22035, 22017, 21976, 22021, 22027])).
% 4.24/4.49 tff(22053,plain,
% 4.24/4.49 (r(s(s(z)), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[956, 22052])).
% 4.24/4.49 tff(22054,plain,
% 4.24/4.49 (~r(s(s(s(z))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[960, 82, 136, 22053])).
% 4.24/4.49 tff(22055,plain,
% 4.24/4.49 (b(s(s(s(z))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[639, 22054])).
% 4.24/4.49 tff(22056,plain,
% 4.24/4.49 (~r(s(s(z)), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[2514, 22043, 22033])).
% 4.24/4.49 tff(22057,plain,
% 4.24/4.49 (b(s(s(z)), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[472, 22056])).
% 4.24/4.49 tff(22058,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[21737, 338, 22035, 22057, 21976, 22055, 22045])).
% 4.24/4.49 tff(22059,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(z))) | (~(s(s(elem!1)) = elem!1)) | (~r(elem!1, s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22060,plain,
% 4.24/4.49 (~r(s(z), s(s(s(z))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22059, 21901, 128, 21892, 21900, 21894, 21893, 62, 129])).
% 4.24/4.49 tff(22061,plain,
% 4.24/4.49 (b(s(z), s(s(s(z))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[424, 22060])).
% 4.24/4.49 tff(22062,plain,
% 4.24/4.49 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[368, 3237, 62])).
% 4.24/4.49 tff(22063,plain,
% 4.24/4.49 (r(elem!1, s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[1414])).
% 4.24/4.49 tff(22064,plain,
% 4.24/4.49 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.24/4.49 inference(symmetry,[status(thm)],[22063])).
% 4.24/4.49 tff(22065,plain,
% 4.24/4.49 (r(elem!1, s(s(s(s(z)))))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[22062, 22064])).
% 4.24/4.49 tff(22066,plain,
% 4.24/4.49 ((s(z) = s(s(s(elem!1)))) <=> (s(z) = s(elem!1))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[1419])).
% 4.24/4.49 tff(22067,plain,
% 4.24/4.49 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(z))),
% 4.24/4.49 inference(transitivity,[status(thm)],[22066, 10452])).
% 4.24/4.49 tff(22068,plain,
% 4.24/4.49 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(z)))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[22067])).
% 4.24/4.49 tff(22069,plain,
% 4.24/4.49 (~(s(elem!1) = s(z))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[1263, 22068])).
% 4.24/4.49 tff(22070,plain,
% 4.24/4.49 (~(s(s(elem!1)) = s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[10916, 22069])).
% 4.24/4.49 tff(22071,plain,
% 4.24/4.49 (~r(s(s(s(z))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[21974, 426, 175, 1429, 22062, 62, 22070, 10908, 22065])).
% 4.24/4.49 tff(22072,plain,
% 4.24/4.49 (b(s(s(s(z))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[437, 22071])).
% 4.24/4.49 tff(22073,plain,
% 4.24/4.49 (~r(z, s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[21787, 13914, 426, 458, 457])).
% 4.24/4.49 tff(22074,plain,
% 4.24/4.49 (b(z, s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[403, 22073])).
% 4.24/4.49 tff(22075,plain,
% 4.24/4.49 (~r(s(z), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16097, 22074, 164, 13914, 175, 426])).
% 4.24/4.49 tff(22076,plain,
% 4.24/4.49 (~b(s(z), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[18855, 22000, 458, 175, 164, 62, 386])).
% 4.24/4.49 tff(22077,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[26, 22076, 22075])).
% 4.24/4.49 tff(22078,plain,(b(z, s(s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22079,plain,
% 4.24/4.49 (b(z, s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22078, 164, 175, 22072, 62, 426, 22062, 457])).
% 4.24/4.49 tff(22080,plain,
% 4.24/4.49 (r(elem!1, s(s(s(s(z)))))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[370, 22064])).
% 4.24/4.49 tff(22081,plain,
% 4.24/4.49 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[4794, 11317])).
% 4.24/4.49 tff(22082,plain,
% 4.24/4.49 (~b(s(z), s(s(elem!1)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16983, 911, 1208, 871, 458, 457, 370])).
% 4.24/4.49 tff(22083,plain,
% 4.24/4.49 (r(s(z), elem!1)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[13678, 22082, 193])).
% 4.24/4.49 tff(22084,plain,
% 4.24/4.49 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[3247, 22083, 3239])).
% 4.24/4.49 tff(22085,plain,
% 4.24/4.49 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[106, 22084])).
% 4.24/4.49 tff(22086,plain,
% 4.24/4.49 (r(s(z), s(s(elem!1)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[743, 22082])).
% 4.24/4.49 tff(22087,plain,
% 4.24/4.49 (~r(z, s(s(elem!1)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[729, 22086, 405])).
% 4.24/4.49 tff(22088,plain,
% 4.24/4.49 (b(z, s(s(elem!1)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[161, 22087])).
% 4.24/4.49 tff(22089,plain,
% 4.24/4.49 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[18230, 22088, 405, 4798, 22086, 175, 555])).
% 4.24/4.49 tff(22090,plain,
% 4.24/4.49 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[119, 22089])).
% 4.24/4.49 tff(22091,plain,
% 4.24/4.49 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[5079, 22090, 458, 457, 22085])).
% 4.24/4.49 tff(22092,plain,
% 4.24/4.49 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1011, 22091])).
% 4.24/4.49 tff(22093,plain,
% 4.24/4.49 (~b(z, s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16111, 22085, 164, 175, 426, 405])).
% 4.24/4.49 tff(22094,plain,
% 4.24/4.49 (r(z, s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[403, 22093])).
% 4.24/4.49 tff(22095,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[17354, 22086, 405])).
% 4.24/4.49 tff(22096,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[800, 22095])).
% 4.24/4.49 tff(22097,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(22098,plain,
% 4.24/4.49 (((~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(z))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(22099,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(s(z))))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[22098])).
% 4.24/4.49 tff(22100,plain,
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% 4.24/4.49 inference(transitivity,[status(thm)],[22099, 22097])).
% 4.24/4.49 tff(22101,plain,
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% 4.24/4.49 inference(quant_inst,[status(thm)],[])).
% 4.24/4.49 tff(22102,plain,
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% 4.24/4.49 inference(modus_ponens,[status(thm)],[22101, 22100])).
% 4.24/4.49 tff(22103,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[22102, 338, 8722, 878, 601, 2431, 11071])).
% 4.24/4.49 tff(22104,plain,((~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22105,plain,
% 4.24/4.49 (~b(s(s(elem!1)), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22104, 21486, 878, 8722, 21490])).
% 4.24/4.49 tff(22106,plain,
% 4.24/4.49 (r(s(s(elem!1)), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[11083, 21, 22105, 10936])).
% 4.24/4.49 tff(22107,plain,
% 4.24/4.49 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[2503, 70, 175, 405, 1731, 555])).
% 4.24/4.49 tff(22108,plain,
% 4.24/4.49 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[68, 22107])).
% 4.24/4.49 tff(22109,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[11092, 82, 22108, 370, 22106])).
% 4.24/4.49 tff(22110,plain,((~r(s(z), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(z))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22111,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[22110, 22096, 10936, 370, 22088, 405, 175, 22094, 555])).
% 4.24/4.49 tff(22112,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[455, 22111])).
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[968, 338, 1459, 457, 458, 21127, 474])).
% 4.24/4.49 tff(22114,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22115,plain,
% 4.24/4.49 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22114, 22112, 458, 457, 911, 22092])).
% 4.24/4.49 tff(22116,plain,
% 4.24/4.49 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[68, 22115])).
% 4.24/4.49 tff(22117,plain,
% 4.24/4.49 (~r(s(s(z)), s(s(s(z))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[572, 22116, 175, 164, 555])).
% 4.24/4.49 tff(22118,plain,
% 4.24/4.49 (~b(s(s(z)), s(s(s(z))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[18283, 22116, 458, 164, 405, 175, 22094])).
% 4.24/4.49 tff(22119,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[534, 22118, 22117])).
% 4.24/4.49 tff(22120,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (s(s(elem!1)) = s(s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (s(s(s(s(z)))) = s(s(elem!1))) | (~r(elem!1, s(s(s(s(z)))))) | (~(s(s(elem!1)) = elem!1)) | (s(s(s(z))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22121,plain,
% 4.24/4.49 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22120, 405, 164, 458, 175, 555, 457, 22070, 370, 426, 22081, 22080, 10908, 1429])).
% 4.24/4.49 tff(22122,plain,
% 4.24/4.49 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[689, 22121])).
% 4.24/4.49 tff(22123,plain,
% 4.24/4.49 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[673, 22122, 164, 405, 175, 426])).
% 4.24/4.49 tff(22124,plain,
% 4.24/4.49 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[68, 22123])).
% 4.24/4.49 tff(22125,plain,
% 4.24/4.49 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[20844, 651, 458, 457, 539])).
% 4.24/4.49 tff(22126,plain,
% 4.24/4.49 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[119, 22125])).
% 4.24/4.49 tff(22127,plain,
% 4.24/4.49 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1463, 22126, 457, 458, 71])).
% 4.24/4.49 tff(22128,plain,
% 4.24/4.49 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1011, 22127])).
% 4.24/4.49 tff(22129,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(22130,plain,
% 4.24/4.49 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(22131,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[22130])).
% 4.24/4.49 tff(22132,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.24/4.49 inference(transitivity,[status(thm)],[22131, 22129])).
% 4.24/4.49 tff(22133,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.24/4.49 inference(quant_inst,[status(thm)],[])).
% 4.24/4.49 tff(22134,plain,
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% 4.24/4.49 inference(modus_ponens,[status(thm)],[22133, 22132])).
% 4.24/4.49 tff(22135,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[22134, 338, 457, 458, 22128, 651, 539])).
% 4.24/4.49 tff(22136,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22137,plain,
% 4.24/4.49 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22136, 22122, 458, 457, 22124])).
% 4.24/4.49 tff(22138,plain,
% 4.24/4.49 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[106, 22137])).
% 4.24/4.49 tff(22139,plain,
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% 4.24/4.49 inference(unit_resolution,[status(thm)],[3247, 22138, 22080])).
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% 4.24/4.49 tff(22141,plain,
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% 4.24/4.49 tff(22142,plain,
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% 4.24/4.49 tff(22143,plain,
% 4.24/4.49 (~r(s(s(elem!1)), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[6732, 22138, 370])).
% 4.24/4.49 tff(22144,plain,
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% 4.24/4.49 tff(22145,plain,
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% 4.24/4.49 tff(22146,plain,
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% 4.24/4.49 tff(22147,plain,
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% 4.24/4.49 inference(monotonicity,[status(thm)],[1414])).
% 4.24/4.49 tff(22148,plain,
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% 4.24/4.49 inference(transitivity,[status(thm)],[22147, 151])).
% 4.24/4.49 tff(22149,plain,
% 4.24/4.49 ((s(s(elem!1)) = z) <=> (z = elem!1)),
% 4.24/4.49 inference(symmetry,[status(thm)],[22148])).
% 4.24/4.49 tff(22150,plain,
% 4.24/4.49 ((~(s(s(elem!1)) = z)) <=> (~(z = elem!1))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[22149])).
% 4.24/4.49 tff(22151,plain,
% 4.24/4.49 (~(z = elem!1)),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[155, 22150])).
% 4.24/4.49 tff(22152,plain,
% 4.24/4.49 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(z))) = elem!1))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[10938])).
% 4.24/4.49 tff(22153,plain,
% 4.24/4.49 (~(s(s(s(z))) = elem!1)),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[1429, 22152])).
% 4.24/4.49 tff(22154,plain,
% 4.24/4.49 (~(s(z) = elem!1)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1412, 13712])).
% 4.24/4.49 tff(22155,plain,
% 4.24/4.49 (b(s(z), elem!1)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[701, 22139, 22154])).
% 4.24/4.49 tff(22156,plain,
% 4.24/4.49 (~(elem!1 = s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[696, 22154])).
% 4.24/4.49 tff(22157,plain,
% 4.24/4.49 ((~r(s(s(elem!1)), s(z))) <=> (~r(elem!1, s(z)))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[10922])).
% 4.24/4.49 tff(22158,plain,
% 4.24/4.49 (~r(elem!1, s(z))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[22143, 22157])).
% 4.24/4.49 tff(22159,plain,
% 4.24/4.49 (b(elem!1, s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[819, 22158, 22156])).
% 4.24/4.49 tff(22160,plain,
% 4.24/4.49 (~b(s(s(s(z))), elem!1)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[6908, 22159, 458, 457, 22155])).
% 4.24/4.49 tff(22161,plain,
% 4.24/4.49 (r(s(s(s(z))), elem!1)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1110, 22160, 22153])).
% 4.24/4.49 tff(22162,plain,
% 4.24/4.49 (~r(z, elem!1)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[12126, 22161, 164])).
% 4.24/4.49 tff(22163,plain,
% 4.24/4.49 (b(z, elem!1)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[353, 22162, 22151])).
% 4.24/4.49 tff(22164,plain,
% 4.24/4.49 (b(z, s(s(elem!1)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1897, 22163, 10908])).
% 4.24/4.49 tff(22165,plain,
% 4.24/4.49 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[8821, 22164, 175, 22146, 555])).
% 4.24/4.49 tff(22166,plain,
% 4.24/4.49 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[10478, 22165, 22081])).
% 4.24/4.49 tff(22167,plain,
% 4.24/4.49 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[3227])).
% 4.24/4.49 tff(22168,plain,
% 4.24/4.49 (r(s(s(elem!1)), s(z)) <=> r(s(s(s(s(elem!1)))), s(z))),
% 4.24/4.49 inference(symmetry,[status(thm)],[22167])).
% 4.24/4.49 tff(22169,plain,
% 4.24/4.49 ((~r(s(s(elem!1)), s(z))) <=> (~r(s(s(s(s(elem!1)))), s(z)))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[22168])).
% 4.24/4.49 tff(22170,plain,
% 4.24/4.49 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[22143, 22169])).
% 4.24/4.49 tff(22171,plain,
% 4.24/4.49 (b(s(s(s(s(elem!1)))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1585, 22170])).
% 4.24/4.49 tff(22172,plain,
% 4.24/4.49 (b(s(z), s(s(s(s(elem!1))))) <=> b(s(z), s(s(elem!1)))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[3227])).
% 4.24/4.49 tff(22173,plain,
% 4.24/4.49 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.24/4.49 inference(symmetry,[status(thm)],[22172])).
% 4.24/4.49 tff(22174,plain,
% 4.24/4.49 (b(s(z), s(s(s(s(elem!1)))))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[22140, 22173])).
% 4.24/4.49 tff(22175,plain,
% 4.24/4.49 (b(s(s(s(s(elem!1)))), z) <=> b(s(s(elem!1)), z)),
% 4.24/4.49 inference(monotonicity,[status(thm)],[3227])).
% 4.24/4.49 tff(22176,plain,
% 4.24/4.49 (b(s(s(elem!1)), z) <=> b(s(s(s(s(elem!1)))), z)),
% 4.24/4.49 inference(symmetry,[status(thm)],[22175])).
% 4.24/4.49 tff(22177,plain,
% 4.24/4.49 (b(s(s(s(s(elem!1)))), z)),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[22146, 22176])).
% 4.24/4.49 tff(22178,plain,
% 4.24/4.49 (b(z, s(s(s(s(elem!1))))) <=> b(z, s(s(elem!1)))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[3227])).
% 4.24/4.49 tff(22179,plain,
% 4.24/4.49 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(elem!1)))))),
% 4.24/4.49 inference(symmetry,[status(thm)],[22178])).
% 4.24/4.49 tff(22180,plain,
% 4.24/4.49 (b(z, s(s(s(s(elem!1)))))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[22164, 22179])).
% 4.24/4.49 tff(22181,plain,
% 4.24/4.49 (~b(z, s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[12442, 22180, 22177, 22174, 22171])).
% 4.24/4.49 tff(22182,plain,
% 4.24/4.49 (r(z, s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[403, 22181])).
% 4.24/4.49 tff(22183,plain,
% 4.24/4.49 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[21022, 22182, 457, 175, 405, 458, 22122, 1429, 22166, 22144, 22138])).
% 4.24/4.49 tff(22184,plain,
% 4.24/4.49 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[119, 22183])).
% 4.24/4.49 tff(22185,plain,
% 4.24/4.49 (~r(s(s(z)), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[464, 22184, 22124])).
% 4.24/4.49 tff(22186,plain,
% 4.24/4.49 (b(s(s(z)), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[472, 22185])).
% 4.24/4.49 tff(22187,plain,
% 4.24/4.49 (~b(s(s(elem!1)), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[11079, 22186, 22144, 22142, 22140])).
% 4.24/4.49 tff(22188,assumption,(~b(s(s(elem!1)), s(s(z)))), introduced(assumption)).
% 4.24/4.49 tff(22189,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[11083, 21, 22188, 18337, 10936])).
% 4.24/4.49 tff(22190,plain,(r(s(s(elem!1)), s(s(z))) | b(s(s(elem!1)), s(s(z))) | (s(s(elem!1)) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22191,plain,
% 4.24/4.49 (r(s(s(elem!1)), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22190, 22187, 22070])).
% 4.24/4.49 tff(22192,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[11092, 82, 22124, 370, 22191])).
% 4.24/4.49 tff(22193,plain,((~r(s(z), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(22194,plain,
% 4.24/4.49 (~r(s(z), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[22193, 22079, 457, 175, 22072, 22062, 164, 1414, 426])).
% 4.24/4.49 tff(22195,plain,
% 4.24/4.49 (b(s(z), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[26, 22194])).
% 4.24/4.49 tff(22196,plain,
% 4.24/4.49 (~r(s(z), elem!1)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[3247, 72, 22080])).
% 4.24/4.49 tff(22197,plain,
% 4.24/4.50 (b(s(z), s(s(elem!1)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[13678, 22196, 10908])).
% 4.24/4.50 tff(22198,plain,
% 4.24/4.50 (~b(s(s(elem!1)), z)),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[9063, 16542, 8722, 1740, 15162])).
% 4.24/4.50 tff(22199,plain,
% 4.24/4.50 ($false),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[800, 22198, 18898])).
% 4.24/4.50 tff(22200,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.50 tff(22201,plain,
% 4.24/4.50 (~b(z, s(s(elem!1)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[22200, 72, 370, 426, 458, 457, 1740, 1429])).
% 4.24/4.50 tff(22202,plain,
% 4.24/4.50 (r(z, s(s(elem!1)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[161, 22201])).
% 4.24/4.50 tff(22203,plain,
% 4.24/4.50 (~b(z, s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[19378, 22202, 175, 457, 1740, 426, 1429, 370])).
% 4.24/4.50 tff(22204,plain,
% 4.24/4.50 (r(z, s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[403, 22203])).
% 4.24/4.50 tff(22205,plain,
% 4.24/4.50 (~b(z, elem!1)),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[1897, 22201, 10908])).
% 4.24/4.50 tff(22206,plain,
% 4.24/4.50 (r(z, elem!1)),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[353, 22205, 22151])).
% 4.24/4.50 tff(22207,plain,
% 4.24/4.50 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[11433, 22202, 426])).
% 4.24/4.50 tff(22208,plain,
% 4.24/4.50 (b(s(s(s(z))), s(s(elem!1)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[6754, 22207, 1429])).
% 4.24/4.50 tff(22209,plain,
% 4.24/4.50 ($false),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[10956, 22208, 22206, 1414, 22204, 164, 6734, 10941, 22197])).
% 4.24/4.50 tff(22210,plain,((~r(s(z), s(s(s(s(z)))))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.50 tff(22211,plain,
% 4.24/4.50 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[22210, 164, 1414, 175, 457, 22195, 426, 22062, 22072])).
% 4.24/4.50 tff(22212,plain,
% 4.24/4.50 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[106, 22211])).
% 4.24/4.50 tff(22213,plain,
% 4.24/4.50 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[11153, 22212, 175, 22195, 22079])).
% 4.24/4.50 tff(22214,plain,
% 4.24/4.50 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[119, 22213])).
% 4.24/4.50 tff(22215,plain,
% 4.24/4.50 (~b(z, s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[3505, 22212, 175, 22079, 22195])).
% 4.24/4.50 tff(22216,plain,
% 4.24/4.50 (r(z, s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[403, 22215])).
% 4.24/4.50 tff(22217,plain,
% 4.24/4.50 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[21801, 22216, 22072, 426, 22195, 22212, 22079, 175])).
% 4.24/4.50 tff(22218,plain,
% 4.24/4.50 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[68, 22217])).
% 4.24/4.50 tff(22219,plain,
% 4.24/4.50 (~r(s(s(z)), s(s(s(z))))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[18873, 22214, 457, 164, 175, 22079, 22195, 22072])).
% 4.24/4.50 tff(22220,plain,
% 4.24/4.50 (b(s(s(z)), s(s(s(z))))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[534, 22219])).
% 4.24/4.50 tff(22221,plain,
% 4.24/4.50 ($false),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[18385, 22220, 22218, 22072, 457, 22214])).
% 4.24/4.50 tff(22222,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~(elem!1 = s(s(elem!1)))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.50 tff(22223,plain,
% 4.24/4.50 (~r(z, s(s(s(z))))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[22222, 22061, 128, 136, 21888, 62])).
% 4.24/4.50 tff(22224,plain,
% 4.24/4.50 (b(z, s(s(s(z))))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[149, 22223])).
% 4.24/4.50 tff(22225,plain,
% 4.24/4.50 (~r(s(s(s(z))), s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[21974, 136, 128, 21901, 21892, 62, 21900, 21894, 21893])).
% 4.24/4.50 tff(22226,plain,
% 4.24/4.50 (b(s(s(s(z))), s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[437, 22225])).
% 4.24/4.50 tff(22227,plain,
% 4.24/4.50 (~r(z, s(z))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[21787, 13914, 136, 458, 457])).
% 4.24/4.50 tff(22228,plain,
% 4.24/4.50 (b(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[403, 22227])).
% 4.34/4.50 tff(22229,plain,
% 4.34/4.50 (~r(s(z), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[21429, 22228, 3348, 458, 62, 129, 386])).
% 4.34/4.50 tff(22230,plain,
% 4.34/4.50 (~b(s(z), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[3356, 22228, 458, 457, 3348])).
% 4.34/4.50 tff(22231,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[26, 22230, 22229])).
% 4.34/4.50 tff(22232,plain,(b(z, s(s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(22233,plain,
% 4.34/4.50 (b(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22232, 22226, 22061, 22224, 62, 129])).
% 4.34/4.50 tff(22234,plain,
% 4.34/4.50 (~b(s(z), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[3356, 486, 458, 457, 3348])).
% 4.34/4.50 tff(22235,plain,
% 4.34/4.50 (r(s(z), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[26, 22234])).
% 4.34/4.50 tff(22236,plain,
% 4.34/4.50 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22025, 22235, 871, 458, 3348, 370])).
% 4.34/4.50 tff(22237,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[21462, 486, 426, 370, 457, 3348, 458, 871])).
% 4.34/4.50 tff(22238,plain,
% 4.34/4.50 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[106, 22237])).
% 4.34/4.50 tff(22239,plain,
% 4.34/4.50 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[21441, 22238, 458, 457, 3348, 486])).
% 4.34/4.50 tff(22240,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[689, 22239, 22236])).
% 4.34/4.50 tff(22241,plain,((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(22242,plain,
% 4.34/4.50 (~b(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22241, 22226, 22061, 22224, 21901, 21892, 136])).
% 4.34/4.50 tff(22243,plain,
% 4.34/4.50 (r(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[403, 22242])).
% 4.34/4.50 tff(22244,plain,
% 4.34/4.50 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[21825, 1740, 457, 3348, 458, 426, 175])).
% 4.34/4.50 tff(22245,plain,
% 4.34/4.50 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[106, 22244])).
% 4.34/4.50 tff(22246,plain,
% 4.34/4.50 (~r(s(z), elem!1)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[3247, 22245, 22080])).
% 4.34/4.50 tff(22247,plain,
% 4.34/4.50 (b(s(z), s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[13678, 22246, 10908])).
% 4.34/4.50 tff(22248,plain,
% 4.34/4.50 (~b(z, s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22200, 22245, 370, 426, 458, 457, 1740, 1429])).
% 4.34/4.50 tff(22249,plain,
% 4.34/4.50 (~b(z, elem!1)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1897, 22248, 10908])).
% 4.34/4.50 tff(22250,plain,
% 4.34/4.50 (r(z, elem!1)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[353, 22249, 22151])).
% 4.34/4.50 tff(22251,plain,
% 4.34/4.50 (r(z, s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[161, 22248])).
% 4.34/4.50 tff(22252,plain,
% 4.34/4.50 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[11433, 22251, 426])).
% 4.34/4.50 tff(22253,plain,
% 4.34/4.50 (b(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[6754, 22252, 1429])).
% 4.34/4.50 tff(22254,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[11035, 22253, 22250, 3226, 458, 3348, 1414, 22247, 457])).
% 4.34/4.50 tff(22255,plain,((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~(elem!1 = s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(22256,plain,
% 4.34/4.50 (~b(s(z), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22255, 22226, 22224, 21888, 22061, 136, 21892, 128])).
% 4.34/4.50 tff(22257,plain,
% 4.34/4.50 (r(s(z), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[26, 22256])).
% 4.34/4.50 tff(22258,plain,
% 4.34/4.50 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22025, 22257, 21901, 22226, 22224, 21892])).
% 4.34/4.50 tff(22259,plain,
% 4.34/4.50 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[689, 22258])).
% 4.34/4.50 tff(22260,plain,
% 4.34/4.50 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22136, 651, 458, 457, 539])).
% 4.34/4.50 tff(22261,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[20868, 651, 458, 426, 405, 539, 175, 1731])).
% 4.34/4.50 tff(22262,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[68, 22261, 22260])).
% 4.34/4.50 tff(22263,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(22264,plain,
% 4.34/4.50 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22263, 22226, 136, 22257, 22259, 128, 22243, 22061])).
% 4.34/4.50 tff(22265,plain,
% 4.34/4.50 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[106, 22264])).
% 4.34/4.50 tff(22266,plain,
% 4.34/4.50 (~r(s(z), elem!1)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[3247, 22265, 21893])).
% 4.34/4.50 tff(22267,plain,
% 4.34/4.50 (b(s(z), s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[13678, 22266, 21894])).
% 4.34/4.50 tff(22268,plain,
% 4.34/4.50 (~r(s(s(elem!1)), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1230, 22267, 136, 21901, 22226, 22061])).
% 4.34/4.50 tff(22269,plain,
% 4.34/4.50 (b(s(s(elem!1)), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[800, 22268])).
% 4.34/4.50 tff(22270,plain,
% 4.34/4.50 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[21888])).
% 4.34/4.50 tff(22271,plain,
% 4.34/4.50 ((~b(s(s(s(z))), elem!1)) <=> (~b(s(s(s(z))), s(s(elem!1))))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[22270])).
% 4.34/4.50 tff(22272,plain,
% 4.34/4.50 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1431, 21888])).
% 4.34/4.50 tff(22273,plain,
% 4.34/4.50 (~(s(z) = elem!1)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1412, 22272])).
% 4.34/4.50 tff(22274,plain,
% 4.34/4.50 (b(s(z), elem!1)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[701, 22266, 22273])).
% 4.34/4.50 tff(22275,plain,
% 4.34/4.50 (~(elem!1 = s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[696, 22273])).
% 4.34/4.50 tff(22276,plain,
% 4.34/4.50 (r(elem!1, s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[21888])).
% 4.34/4.50 tff(22277,plain,
% 4.34/4.50 (r(s(s(elem!1)), s(z)) <=> r(elem!1, s(z))),
% 4.34/4.50 inference(symmetry,[status(thm)],[22276])).
% 4.34/4.50 tff(22278,plain,
% 4.34/4.50 ((~r(s(s(elem!1)), s(z))) <=> (~r(elem!1, s(z)))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[22277])).
% 4.34/4.50 tff(22279,plain,
% 4.34/4.50 (~r(s(s(elem!1)), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[6732, 22265, 21892])).
% 4.34/4.50 tff(22280,plain,
% 4.34/4.50 (~r(elem!1, s(z))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[22279, 22278])).
% 4.34/4.50 tff(22281,plain,
% 4.34/4.50 (b(elem!1, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[819, 22280, 22275])).
% 4.34/4.50 tff(22282,plain,
% 4.34/4.50 (~b(s(s(s(z))), elem!1)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[6908, 22281, 22226, 22061, 22274])).
% 4.34/4.50 tff(22283,plain,
% 4.34/4.50 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[22282, 22271])).
% 4.34/4.50 tff(22284,plain,
% 4.34/4.50 (r(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1221, 21, 21901, 22283])).
% 4.34/4.50 tff(22285,plain,
% 4.34/4.50 (~r(z, s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[11433, 22284, 136])).
% 4.34/4.50 tff(22286,plain,
% 4.34/4.50 (b(z, s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[161, 22285])).
% 4.34/4.50 tff(22287,plain,
% 4.34/4.50 (~(s(s(s(z))) = s(elem!1))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[10460, 21895])).
% 4.34/4.50 tff(22288,plain,
% 4.34/4.50 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4794, 22287])).
% 4.34/4.50 tff(22289,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[21871, 22259, 22224, 128, 22233])).
% 4.34/4.50 tff(22290,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1011, 22289])).
% 4.34/4.50 tff(22291,plain,
% 4.34/4.50 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[18334, 22284, 22290])).
% 4.34/4.50 tff(22292,plain,
% 4.34/4.50 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[10478, 22291, 22288])).
% 4.34/4.50 tff(22293,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[8821, 22292, 22286, 128, 22269, 22233])).
% 4.34/4.50 tff(22294,plain,(b(s(s(s(z))), z) | b(s(s(elem!1)), s(s(s(s(z))))) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(22295,plain,
% 4.34/4.50 (b(s(s(s(z))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22294, 121, 62])).
% 4.34/4.50 tff(22296,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[2906, 338, 1741, 3348, 19190, 8668, 175])).
% 4.34/4.50 tff(22297,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(22298,plain,
% 4.34/4.50 (~b(z, s(s(s(z))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22297, 72, 175, 1741, 427, 406])).
% 4.34/4.50 tff(22299,plain,
% 4.34/4.50 (r(z, s(s(s(z))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[149, 22298])).
% 4.34/4.50 tff(22300,plain,
% 4.34/4.50 (~r(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[2890, 22299, 427])).
% 4.34/4.50 tff(22301,plain,
% 4.34/4.50 (b(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[403, 22300])).
% 4.34/4.50 tff(22302,plain,
% 4.34/4.50 (~r(s(s(z)), s(s(s(z))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[18536, 22301, 406, 22299])).
% 4.34/4.50 tff(22303,plain,
% 4.34/4.50 (b(s(s(z)), s(s(s(z))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[534, 22302])).
% 4.34/4.50 tff(22304,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(22305,plain,
% 4.34/4.50 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(22306,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[22305])).
% 4.34/4.50 tff(22307,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.34/4.50 inference(transitivity,[status(thm)],[22306, 22304])).
% 4.34/4.50 tff(22308,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.34/4.50 inference(quant_inst,[status(thm)],[])).
% 4.34/4.50 tff(22309,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[22308, 22307])).
% 4.34/4.50 tff(22310,plain,
% 4.34/4.50 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22309, 338, 22303, 1741, 19190, 21925, 175])).
% 4.34/4.50 tff(22311,plain,
% 4.34/4.50 (r(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[598, 22310, 61])).
% 4.34/4.50 tff(22312,plain,
% 4.34/4.50 (~r(s(s(z)), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[581, 82, 72, 22311])).
% 4.34/4.50 tff(22313,plain,
% 4.34/4.50 (b(s(s(z)), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[472, 22312])).
% 4.34/4.50 tff(22314,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(22315,plain,
% 4.34/4.50 (((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(22316,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[22315])).
% 4.34/4.50 tff(22317,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.50 inference(transitivity,[status(thm)],[22316, 22314])).
% 4.34/4.50 tff(22318,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.50 inference(quant_inst,[status(thm)],[])).
% 4.34/4.50 tff(22319,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[22318, 22317])).
% 4.34/4.50 tff(22320,plain,
% 4.34/4.50 (~b(z, s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22319, 338, 22301, 1741, 22313, 19190, 175])).
% 4.34/4.50 tff(22321,plain,
% 4.34/4.50 (r(z, s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[563, 22320])).
% 4.34/4.50 tff(22322,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(22323,plain,
% 4.34/4.50 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(22324,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[22323])).
% 4.34/4.50 tff(22325,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.34/4.50 inference(transitivity,[status(thm)],[22324, 22322])).
% 4.34/4.50 tff(22326,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.34/4.50 inference(quant_inst,[status(thm)],[])).
% 4.34/4.50 tff(22327,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[22326, 22325])).
% 4.34/4.50 tff(22328,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22327, 338, 22303, 1741, 19190, 21925, 175])).
% 4.34/4.50 tff(22329,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[68, 22328])).
% 4.34/4.50 tff(22330,plain,
% 4.34/4.50 (~r(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4055, 82, 22329, 22321])).
% 4.34/4.50 tff(22331,plain,
% 4.34/4.50 (b(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[391, 22330])).
% 4.34/4.50 tff(22332,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(22333,plain,
% 4.34/4.50 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))) <=> ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(22334,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[22333])).
% 4.34/4.50 tff(22335,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.50 inference(transitivity,[status(thm)],[22334, 22332])).
% 4.34/4.50 tff(22336,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 4.34/4.50 inference(quant_inst,[status(thm)],[])).
% 4.34/4.50 tff(22337,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[22336, 22335])).
% 4.34/4.50 tff(22338,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22337, 338, 1741, 19190, 21925, 175, 22331])).
% 4.34/4.50 tff(22339,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(22340,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[22339, 406, 175, 1741, 427])).
% 4.34/4.50 tff(22341,plain,
% 4.34/4.50 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[106, 22340])).
% 4.34/4.50 tff(22342,plain,
% 4.34/4.50 (~(s(s(elem!1)) = s(elem!1))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[5466, 17880])).
% 4.34/4.50 tff(22343,plain,
% 4.34/4.50 (~(elem!1 = s(elem!1))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[231, 22342])).
% 4.34/4.50 tff(22344,plain,
% 4.34/4.50 (~(s(s(s(z))) = elem!1)),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[22343, 21119])).
% 4.34/4.50 tff(22345,plain,
% 4.34/4.50 (~b(z, s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[18489, 178, 386])).
% 4.34/4.50 tff(22346,plain,
% 4.34/4.50 (r(z, s(s(elem!1)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[161, 22345])).
% 4.34/4.50 tff(22347,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[3204, 1740, 175, 22341, 486])).
% 4.34/4.50 tff(22348,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[119, 22347])).
% 4.34/4.50 tff(22349,plain,
% 4.34/4.50 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[7735, 1740, 175, 427, 486])).
% 4.34/4.51 tff(22350,plain,
% 4.34/4.51 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[689, 22349])).
% 4.34/4.51 tff(22351,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[3437, 22348, 406])).
% 4.34/4.51 tff(22352,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1011, 22351])).
% 4.34/4.51 tff(22353,plain,
% 4.34/4.51 (~r(s(z), s(s(z)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[19291, 22352, 178, 427, 22344, 406, 22350, 22348])).
% 4.34/4.51 tff(22354,plain,
% 4.34/4.51 (b(s(z), s(s(z)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[455, 22353])).
% 4.34/4.51 tff(22355,plain,
% 4.34/4.51 (~(elem!1 = s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[3236, 178])).
% 4.34/4.51 tff(22356,plain,
% 4.34/4.51 (~b(z, s(s(s(z))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[10509, 22352, 175, 1741, 22350])).
% 4.34/4.51 tff(22357,plain,
% 4.34/4.51 (r(z, s(s(s(z))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[149, 22356])).
% 4.34/4.51 tff(22358,plain,
% 4.34/4.51 (b(z, elem!1)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[360, 22357, 178, 22355, 165])).
% 4.34/4.51 tff(22359,plain,
% 4.34/4.51 (b(z, s(s(z)))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22358, 17840])).
% 4.34/4.51 tff(22360,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22361,plain,
% 4.34/4.51 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22362,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[22361])).
% 4.34/4.51 tff(22363,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(transitivity,[status(thm)],[22362, 22360])).
% 4.34/4.51 tff(22364,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.51 inference(quant_inst,[status(thm)],[])).
% 4.34/4.51 tff(22365,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22364, 22363])).
% 4.34/4.51 tff(22366,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22365, 338, 486, 22359, 1741, 22352, 22354, 175])).
% 4.34/4.51 tff(22367,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(22368,plain,
% 4.34/4.51 (~b(s(z), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22367, 178, 1741, 175, 486, 22346, 427, 406])).
% 4.34/4.51 tff(22369,plain,
% 4.34/4.51 (r(s(z), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[26, 22368])).
% 4.34/4.51 tff(22370,plain,
% 4.34/4.51 (~r(z, s(s(s(z))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[414, 22369, 406])).
% 4.34/4.51 tff(22371,plain,
% 4.34/4.51 (b(z, s(s(s(z))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[149, 22370])).
% 4.34/4.51 tff(22372,plain,
% 4.34/4.51 (~r(z, elem!1)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[857, 22369, 22346, 21182, 22355, 19404])).
% 4.34/4.51 tff(22373,plain,
% 4.34/4.51 (b(z, elem!1)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[353, 22372, 16907])).
% 4.34/4.51 tff(22374,plain,
% 4.34/4.51 (b(s(z), s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[13911, 17879, 22341])).
% 4.34/4.51 tff(22375,plain,
% 4.34/4.51 (~r(elem!1, s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1081, 802, 165])).
% 4.34/4.51 tff(22376,plain,
% 4.34/4.51 (b(elem!1, s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[321, 22375, 137])).
% 4.34/4.51 tff(22377,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1071, 22376, 820, 486, 747, 830, 1021])).
% 4.34/4.51 tff(22378,plain,((~r(elem!1, z)) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(z, elem!1)) | (elem!1 = s(s(elem!1))) | (s(z) = elem!1) | (elem!1 = s(z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(22379,plain,
% 4.34/4.51 (~r(elem!1, z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22378, 22374, 486, 22373, 22355, 16919, 21182, 22346, 22369])).
% 4.34/4.51 tff(22380,plain,
% 4.34/4.51 (b(elem!1, z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[846, 22379, 19404])).
% 4.34/4.51 tff(22381,plain,
% 4.34/4.51 (~b(s(s(s(z))), elem!1)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[12560, 22380, 1741, 22373, 22371])).
% 4.34/4.51 tff(22382,plain,
% 4.34/4.51 (r(s(s(s(z))), elem!1)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1110, 22381, 22344])).
% 4.34/4.51 tff(22383,plain,
% 4.34/4.51 (~r(s(z), elem!1)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[12500, 22382, 427])).
% 4.34/4.51 tff(22384,plain,
% 4.34/4.51 (b(s(z), elem!1)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[701, 22383, 16919])).
% 4.34/4.51 tff(22385,plain,
% 4.34/4.51 (b(s(z), s(s(z)))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22384, 17838])).
% 4.34/4.51 tff(22386,plain,
% 4.34/4.51 (b(z, s(s(z)))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22373, 17840])).
% 4.34/4.51 tff(22387,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22388,plain,
% 4.34/4.51 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22389,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[22388])).
% 4.34/4.51 tff(22390,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(transitivity,[status(thm)],[22389, 22387])).
% 4.34/4.51 tff(22391,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.51 inference(quant_inst,[status(thm)],[])).
% 4.34/4.51 tff(22392,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22391, 22390])).
% 4.34/4.51 tff(22393,plain,
% 4.34/4.51 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22392, 338, 486, 22386, 1741, 22385, 175])).
% 4.34/4.51 tff(22394,plain,
% 4.34/4.51 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[689, 22393])).
% 4.34/4.51 tff(22395,plain,
% 4.34/4.51 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(s(z)))),
% 4.34/4.51 inference(symmetry,[status(thm)],[18017])).
% 4.34/4.51 tff(22396,plain,
% 4.34/4.51 ((~b(s(s(s(z))), elem!1)) <=> (~b(s(s(s(z))), s(s(z))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[22395])).
% 4.34/4.51 tff(22397,plain,
% 4.34/4.51 (~b(s(s(s(z))), s(s(z)))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22381, 22396])).
% 4.34/4.51 tff(22398,plain,
% 4.34/4.51 (r(s(s(s(z))), s(s(z)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[639, 22397])).
% 4.34/4.51 tff(22399,plain,
% 4.34/4.51 (b(elem!1, z) <=> b(s(s(z)), z)),
% 4.34/4.51 inference(monotonicity,[status(thm)],[16902])).
% 4.34/4.51 tff(22400,plain,
% 4.34/4.51 (b(s(s(z)), z)),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22380, 22399])).
% 4.34/4.51 tff(22401,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22402,plain,
% 4.34/4.51 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22403,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[22402])).
% 4.34/4.51 tff(22404,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.34/4.51 inference(transitivity,[status(thm)],[22403, 22401])).
% 4.34/4.51 tff(22405,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.34/4.51 inference(quant_inst,[status(thm)],[])).
% 4.34/4.51 tff(22406,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22405, 22404])).
% 4.34/4.51 tff(22407,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22406, 338, 486, 22386, 22400, 22385, 175])).
% 4.34/4.51 tff(22408,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[68, 22407])).
% 4.34/4.51 tff(22409,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[2472, 22408, 22398, 22394])).
% 4.34/4.51 tff(22410,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(z))))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(22411,plain,
% 4.34/4.51 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22410, 386, 1741, 175, 427, 406, 486])).
% 4.34/4.51 tff(22412,plain,
% 4.34/4.51 (~r(z, s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[379, 19114, 371])).
% 4.34/4.51 tff(22413,plain,
% 4.34/4.51 (b(z, s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[161, 22412])).
% 4.34/4.51 tff(22414,plain,
% 4.34/4.51 (~b(z, s(s(s(z))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[19148, 1740, 427, 363, 22413, 486, 175, 62])).
% 4.34/4.51 tff(22415,plain,
% 4.34/4.51 (r(z, s(s(s(z))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[149, 22414])).
% 4.34/4.51 tff(22416,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[21907, 22415, 22350, 371, 19114, 486, 62, 175, 1740])).
% 4.34/4.51 tff(22417,plain,((~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (s(s(elem!1)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(22418,plain,
% 4.34/4.51 (~b(s(z), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22417, 13914, 486, 62, 175, 427, 22411])).
% 4.34/4.51 tff(22419,plain,
% 4.34/4.51 (r(s(z), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[26, 22418])).
% 4.34/4.51 tff(22420,plain,
% 4.34/4.51 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[368, 22411, 62])).
% 4.34/4.51 tff(22421,plain,
% 4.34/4.51 (b(z, s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[161, 21742])).
% 4.34/4.51 tff(22422,plain,
% 4.34/4.51 (~r(s(s(elem!1)), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[18502, 82, 371, 370])).
% 4.34/4.51 tff(22423,plain,
% 4.34/4.51 (b(s(s(elem!1)), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[800, 22422])).
% 4.34/4.51 tff(22424,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22425,plain,
% 4.34/4.51 (((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22426,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[22425])).
% 4.34/4.51 tff(22427,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.34/4.51 inference(transitivity,[status(thm)],[22426, 22424])).
% 4.34/4.51 tff(22428,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), z)))),
% 4.34/4.51 inference(quant_inst,[status(thm)],[])).
% 4.34/4.51 tff(22429,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22428, 22427])).
% 4.34/4.51 tff(22430,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22429, 338, 8722, 878, 1741, 19448, 19447])).
% 4.34/4.51 tff(22431,plain,((s(s(s(z))) = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | r(s(s(elem!1)), s(s(s(z)))) | r(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(22432,plain,
% 4.34/4.51 (s(s(s(z))) = s(s(elem!1))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22431, 16978, 22423, 1741, 22421, 16980])).
% 4.34/4.51 tff(22433,plain,
% 4.34/4.51 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1428, 22432])).
% 4.34/4.51 tff(22434,plain,
% 4.34/4.51 (~(elem!1 = s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1418, 22433])).
% 4.34/4.51 tff(22435,plain,
% 4.34/4.51 (r(s(z), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[19517])).
% 4.34/4.51 tff(22436,plain,
% 4.34/4.51 (r(s(z), s(s(s(z)))) <=> r(s(z), s(s(elem!1)))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[875])).
% 4.34/4.51 tff(22437,plain,
% 4.34/4.51 (r(s(z), s(s(elem!1)))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[406, 22436])).
% 4.34/4.51 tff(22438,plain,
% 4.34/4.51 (r(elem!1, s(s(elem!1)))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22437, 22435])).
% 4.34/4.51 tff(22439,plain,
% 4.34/4.51 (~r(elem!1, s(elem!1))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[20585, 22438, 19518, 7154, 22423, 22421])).
% 4.34/4.51 tff(22440,plain,
% 4.34/4.51 (b(elem!1, s(elem!1))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[252, 22439, 7156])).
% 4.34/4.51 tff(22441,plain,
% 4.34/4.51 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[1425])).
% 4.34/4.51 tff(22442,plain,
% 4.34/4.51 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[370, 22441])).
% 4.34/4.51 tff(22443,plain,
% 4.34/4.51 (r(z, s(s(s(s(z))))) <=> r(z, s(s(s(elem!1))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[1425])).
% 4.34/4.51 tff(22444,plain,
% 4.34/4.51 (r(z, s(s(s(elem!1))))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[371, 22443])).
% 4.34/4.51 tff(22445,plain,
% 4.34/4.51 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[19763, 22444, 22421, 7154, 22442])).
% 4.34/4.51 tff(22446,plain,
% 4.34/4.51 (b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1515, 22445, 215])).
% 4.34/4.51 tff(22447,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), elem!1)),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[2911, 19524])).
% 4.34/4.51 tff(22448,plain,
% 4.34/4.51 (b(s(s(s(elem!1))), elem!1)),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22447, 19523])).
% 4.34/4.51 tff(22449,plain,
% 4.34/4.51 (b(z, s(z)) <=> b(z, elem!1)),
% 4.34/4.51 inference(monotonicity,[status(thm)],[19517])).
% 4.34/4.51 tff(22450,plain,
% 4.34/4.51 (b(z, elem!1)),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[486, 22449])).
% 4.34/4.51 tff(22451,plain,
% 4.34/4.51 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(22452,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1)))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[22451])).
% 4.34/4.51 tff(22453,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.34/4.51 inference(transitivity,[status(thm)],[22452, 18118])).
% 4.34/4.51 tff(22454,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))),
% 4.34/4.51 inference(quant_inst,[status(thm)],[])).
% 4.34/4.51 tff(22455,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1)))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[22454, 22453])).
% 4.34/4.51 tff(22456,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22455, 338, 22450, 20807, 19522, 22448, 22446, 22440])).
% 4.34/4.51 tff(22457,plain,((~(s(s(s(z))) = s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(22458,plain,
% 4.34/4.51 (s(elem!1) = s(s(s(elem!1)))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[22457, 22432, 370, 371, 175, 7731, 22341, 486, 406, 405])).
% 4.34/4.51 tff(22459,plain,
% 4.34/4.51 (s(s(elem!1)) = elem!1),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[209, 22458])).
% 4.34/4.52 tff(22460,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[196, 22459, 22434])).
% 4.34/4.52 tff(22461,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22462,plain,
% 4.34/4.52 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22461, 22420, 13914, 175, 486, 406, 22419, 1741, 427])).
% 4.34/4.52 tff(22463,plain,
% 4.34/4.52 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[689, 22462])).
% 4.34/4.52 tff(22464,plain,
% 4.34/4.52 (~r(z, s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[414, 22419, 406])).
% 4.34/4.52 tff(22465,plain,
% 4.34/4.52 (b(z, s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[149, 22464])).
% 4.34/4.52 tff(22466,plain,
% 4.34/4.52 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[10509, 22463, 175, 1741, 22465])).
% 4.34/4.52 tff(22467,plain,
% 4.34/4.52 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1011, 22466])).
% 4.34/4.52 tff(22468,plain,
% 4.34/4.52 (~r(s(s(z)), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[5882, 22467, 406])).
% 4.34/4.52 tff(22469,plain,
% 4.34/4.52 (b(s(s(z)), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[534, 22468])).
% 4.34/4.52 tff(22470,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(22471,plain,
% 4.34/4.52 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(22472,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[22471])).
% 4.34/4.52 tff(22473,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.52 inference(transitivity,[status(thm)],[22472, 22470])).
% 4.34/4.52 tff(22474,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)))),
% 4.34/4.52 inference(quant_inst,[status(thm)],[])).
% 4.34/4.52 tff(22475,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[22474, 22473])).
% 4.34/4.52 tff(22476,plain,
% 4.34/4.52 (~b(s(s(z)), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22475, 338, 22469, 1741, 22465, 22463, 175])).
% 4.34/4.52 tff(22477,plain,
% 4.34/4.52 (r(s(s(z)), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[956, 22476])).
% 4.34/4.52 tff(22478,plain,
% 4.34/4.52 (~r(s(z), s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[21488, 22477, 22419])).
% 4.34/4.52 tff(22479,plain,
% 4.34/4.52 (b(s(z), s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[455, 22478])).
% 4.34/4.52 tff(22480,plain,
% 4.34/4.52 (~r(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[3437, 22467, 406])).
% 4.34/4.52 tff(22481,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[119, 22480])).
% 4.34/4.52 tff(22482,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(22483,plain,
% 4.34/4.52 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(22484,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[22483])).
% 4.34/4.52 tff(22485,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.34/4.52 inference(transitivity,[status(thm)],[22484, 22482])).
% 4.34/4.52 tff(22486,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))),
% 4.34/4.52 inference(quant_inst,[status(thm)],[])).
% 4.34/4.52 tff(22487,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[22486, 22485])).
% 4.34/4.52 tff(22488,plain,
% 4.34/4.52 (~b(z, s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22487, 338, 22469, 1741, 22465, 22463, 175])).
% 4.34/4.52 tff(22489,plain,
% 4.34/4.52 (r(z, s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[563, 22488])).
% 4.34/4.52 tff(22490,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[4055, 82, 71, 556, 371])).
% 4.34/4.52 tff(22491,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22492,plain,
% 4.34/4.52 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22491, 22489, 13914])).
% 4.34/4.52 tff(22493,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[68, 22492])).
% 4.34/4.52 tff(22494,plain,
% 4.34/4.52 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[5800, 22493, 22341, 22481, 22479])).
% 4.34/4.52 tff(22495,plain,
% 4.34/4.52 (r(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[598, 22494, 61])).
% 4.34/4.52 tff(22496,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[18546, 82, 22477, 13914, 22495])).
% 4.34/4.52 tff(22497,plain,(b(z, s(s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~r(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22498,plain,
% 4.34/4.52 (b(z, s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22497, 486, 175, 406, 1741, 427, 62])).
% 4.34/4.52 tff(22499,plain,
% 4.34/4.52 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[6869, 22498, 175, 22341, 486])).
% 4.34/4.52 tff(22500,plain,
% 4.34/4.52 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[119, 22499])).
% 4.34/4.52 tff(22501,plain,
% 4.34/4.52 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[3437, 22500, 406])).
% 4.34/4.52 tff(22502,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1011, 22501])).
% 4.34/4.52 tff(22503,plain,
% 4.34/4.52 (~b(s(z), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[3505, 22498, 175, 22341, 486])).
% 4.34/4.52 tff(22504,plain,
% 4.34/4.52 (r(s(z), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[26, 22503])).
% 4.34/4.52 tff(22505,plain,
% 4.34/4.52 (~r(z, s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[414, 22504, 406])).
% 4.34/4.52 tff(22506,plain,
% 4.34/4.52 (b(z, s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[149, 22505])).
% 4.34/4.52 tff(22507,plain,
% 4.34/4.52 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[3708, 22500, 427])).
% 4.34/4.52 tff(22508,plain,
% 4.34/4.52 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[689, 22507])).
% 4.34/4.52 tff(22509,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[21871, 22508, 22506, 22498, 175, 22502])).
% 4.34/4.52 tff(22510,plain,((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22511,plain,
% 4.34/4.52 (~b(z, s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22510, 406, 175, 427, 1741, 62])).
% 4.34/4.52 tff(22512,plain,
% 4.34/4.52 (r(z, s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[403, 22511])).
% 4.34/4.52 tff(22513,plain,
% 4.34/4.52 (~r(z, s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2890, 22512, 427])).
% 4.34/4.52 tff(22514,plain,
% 4.34/4.52 (b(z, s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[149, 22513])).
% 4.34/4.52 tff(22515,plain,
% 4.34/4.52 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22491, 556, 371])).
% 4.34/4.52 tff(22516,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[68, 22515])).
% 4.34/4.52 tff(22517,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2939, 22516, 11070, 427, 1731, 651])).
% 4.34/4.52 tff(22518,plain,((~r(z, s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22519,plain,
% 4.34/4.52 (~r(z, s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22518, 13914, 22512, 22341, 427])).
% 4.34/4.52 tff(22520,plain,
% 4.34/4.52 (b(z, s(s(z)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[563, 22519])).
% 4.34/4.52 tff(22521,plain,
% 4.34/4.52 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[10509, 539, 175, 1741, 3348])).
% 4.34/4.52 tff(22522,plain,
% 4.34/4.52 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1011, 22521])).
% 4.34/4.52 tff(22523,plain,
% 4.34/4.52 (~r(s(s(z)), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[5882, 22522, 406])).
% 4.34/4.52 tff(22524,plain,
% 4.34/4.52 (b(s(s(z)), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[534, 22523])).
% 4.34/4.52 tff(22525,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22487, 338, 22524, 601, 1741, 3348, 539, 175])).
% 4.34/4.52 tff(22526,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22527,plain,
% 4.34/4.52 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22526, 22520, 1741, 22514, 175, 406])).
% 4.34/4.52 tff(22528,plain,
% 4.34/4.52 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[689, 22527])).
% 4.34/4.52 tff(22529,plain,
% 4.34/4.52 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(transitivity,[status(thm)],[10697, 10694])).
% 4.34/4.52 tff(22530,plain,
% 4.34/4.52 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[10460, 17880])).
% 4.34/4.52 tff(22531,plain,
% 4.34/4.52 (~r(z, s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2890, 1731, 427])).
% 4.34/4.52 tff(22532,plain,
% 4.34/4.52 (b(z, s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[149, 22531])).
% 4.34/4.52 tff(22533,plain,
% 4.34/4.52 (b(z, s(elem!1))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[22532, 19395])).
% 4.34/4.52 tff(22534,plain,
% 4.34/4.52 (b(s(elem!1), z) <=> b(s(s(s(z))), z)),
% 4.34/4.52 inference(monotonicity,[status(thm)],[183])).
% 4.34/4.52 tff(22535,plain,
% 4.34/4.52 (b(s(s(s(z))), z) <=> b(s(elem!1), z)),
% 4.34/4.52 inference(symmetry,[status(thm)],[22534])).
% 4.34/4.52 tff(22536,plain,
% 4.34/4.52 (b(s(elem!1), z)),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[1741, 22535])).
% 4.34/4.52 tff(22537,plain,
% 4.34/4.52 (s(s(s(elem!1))) = s(s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1343, 219])).
% 4.34/4.52 tff(22538,plain,
% 4.34/4.52 (~b(z, elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[4540, 22537, 140])).
% 4.34/4.52 tff(22539,plain,
% 4.34/4.52 (z = elem!1),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[353, 22538, 1729])).
% 4.34/4.52 tff(22540,plain,
% 4.34/4.52 (elem!1 = z),
% 4.34/4.52 inference(symmetry,[status(thm)],[22539])).
% 4.34/4.52 tff(22541,plain,
% 4.34/4.52 (s(s(s(elem!1))) = elem!1),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1287, 22537])).
% 4.34/4.52 tff(22542,plain,
% 4.34/4.52 (s(elem!1) = s(s(s(elem!1)))),
% 4.34/4.52 inference(symmetry,[status(thm)],[1340])).
% 4.34/4.52 tff(22543,plain,
% 4.34/4.52 (s(elem!1) = z),
% 4.34/4.52 inference(transitivity,[status(thm)],[22542, 22541, 22540])).
% 4.34/4.52 tff(22544,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[736, 22543])).
% 4.34/4.52 tff(22545,plain,((~(s(s(elem!1)) = s(elem!1))) | r(z, elem!1) | b(z, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22546,plain,
% 4.34/4.52 (~(s(s(elem!1)) = s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22545, 1729, 140])).
% 4.34/4.52 tff(22547,plain,
% 4.34/4.52 (r(s(s(elem!1)), s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[277, 22546, 2605])).
% 4.34/4.52 tff(22548,plain,
% 4.34/4.52 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1280, 22546])).
% 4.34/4.52 tff(22549,plain,
% 4.34/4.52 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1292, 22548, 7050])).
% 4.34/4.52 tff(22550,plain,
% 4.34/4.52 (~(s(elem!1) = s(s(elem!1)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1786, 22546])).
% 4.34/4.52 tff(22551,plain,
% 4.34/4.52 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2611, 22548])).
% 4.34/4.52 tff(22552,plain,
% 4.34/4.52 (~(elem!1 = s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[231, 22546])).
% 4.34/4.52 tff(22553,plain,
% 4.34/4.52 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1329, 22548])).
% 4.34/4.52 tff(22554,plain,
% 4.34/4.52 (~(s(s(s(elem!1))) = elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2647, 4712, 2138])).
% 4.34/4.52 tff(22555,plain,
% 4.34/4.52 (~(elem!1 = s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1924, 22554])).
% 4.34/4.52 tff(22556,plain,
% 4.34/4.52 (r(elem!1, s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1946, 1940, 22555])).
% 4.34/4.52 tff(22557,plain,
% 4.34/4.52 (~r(elem!1, z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[6371, 22556, 7031])).
% 4.34/4.52 tff(22558,plain,
% 4.34/4.52 (b(elem!1, z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[846, 22557, 719])).
% 4.34/4.52 tff(22559,plain,
% 4.34/4.52 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2629, 1502, 264])).
% 4.34/4.52 tff(22560,plain,
% 4.34/4.52 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2619, 22559, 2614])).
% 4.34/4.52 tff(22561,plain,
% 4.34/4.52 (~r(s(elem!1), elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1510, 7065, 1502])).
% 4.34/4.52 tff(22562,plain,
% 4.34/4.52 (b(s(elem!1), elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[312, 22561, 10111])).
% 4.34/4.52 tff(22563,plain,
% 4.34/4.52 (b(elem!1, s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[10326, 22562, 12246, 22559, 2138, 7053, 1729, 6584, 7050, 246, 1502, 1925])).
% 4.34/4.52 tff(22564,plain,
% 4.34/4.52 (~r(elem!1, s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17347, 22563, 264, 6387, 12246, 6386])).
% 4.34/4.52 tff(22565,plain,
% 4.34/4.52 (b(elem!1, s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[252, 22564, 246])).
% 4.34/4.52 tff(22566,plain,
% 4.34/4.52 (r(elem!1, z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[4722, 719, 1729, 1597, 314, 315])).
% 4.34/4.52 tff(22567,plain,
% 4.34/4.52 (~r(elem!1, s(s(elem!1)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1081, 22566, 165])).
% 4.34/4.52 tff(22568,plain,
% 4.34/4.52 (b(elem!1, s(s(elem!1)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[321, 22567, 137])).
% 4.34/4.52 tff(22569,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(22570,plain,
% 4.34/4.52 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(22571,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[22570])).
% 4.34/4.52 tff(22572,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.34/4.52 inference(transitivity,[status(thm)],[22571, 22569])).
% 4.34/4.52 tff(22573,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(z, s(elem!1))))),
% 4.34/4.52 inference(quant_inst,[status(thm)],[])).
% 4.34/4.52 tff(22574,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[22573, 22572])).
% 4.34/4.52 tff(22575,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22574, 338, 4712, 1929, 22568, 6387, 1597, 314])).
% 4.34/4.52 tff(22576,plain,((elem!1 = z) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), elem!1)) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | r(z, elem!1) | (~b(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22577,plain,
% 4.34/4.52 (elem!1 = z),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22576, 22563, 6387, 6584, 22562, 12246, 165, 1729, 22565])).
% 4.34/4.52 tff(22578,plain,
% 4.34/4.52 (b(elem!1, s(s(s(elem!1)))) <=> b(z, s(s(s(elem!1))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[22577])).
% 4.34/4.52 tff(22579,plain,
% 4.34/4.52 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.34/4.52 inference(symmetry,[status(thm)],[22578])).
% 4.34/4.52 tff(22580,plain,
% 4.34/4.52 ((~b(z, s(s(s(elem!1))))) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[22579])).
% 4.34/4.52 tff(22581,plain,
% 4.34/4.52 (~b(elem!1, s(s(s(elem!1))))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[2138, 22580])).
% 4.34/4.52 tff(22582,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22563, 22581])).
% 4.34/4.52 tff(22583,plain,((s(s(s(elem!1))) = elem!1) | b(z, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | r(z, elem!1) | (elem!1 = s(elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | b(s(s(s(elem!1))), elem!1) | r(s(s(s(elem!1))), s(s(elem!1))) | (~r(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22584,plain,
% 4.34/4.52 (s(s(s(elem!1))) = elem!1),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22583, 22560, 6387, 165, 1729, 246, 264, 2138, 7053, 7050, 1502])).
% 4.34/4.52 tff(22585,plain,
% 4.34/4.52 (~b(z, elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2647, 22584, 2138])).
% 4.34/4.52 tff(22586,plain,
% 4.34/4.52 (z = elem!1),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[353, 22585, 1729])).
% 4.34/4.52 tff(22587,plain,
% 4.34/4.52 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(elem!1), elem!1)),
% 4.34/4.52 inference(monotonicity,[status(thm)],[2143])).
% 4.34/4.52 tff(22588,plain,
% 4.34/4.52 (r(s(elem!1), elem!1)),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[1502, 22587])).
% 4.34/4.52 tff(22589,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[307, 22588])).
% 4.34/4.52 tff(22590,plain,((~r(s(elem!1), s(s(s(elem!1))))) | r(s(elem!1), elem!1) | (~(s(s(s(elem!1))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22591,plain,
% 4.34/4.52 (r(s(elem!1), elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22590, 22584, 1502])).
% 4.34/4.52 tff(22592,plain,
% 4.34/4.52 (~(elem!1 = z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2759, 22591, 7047])).
% 4.34/4.52 tff(22593,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2752, 22592, 22586])).
% 4.34/4.52 tff(22594,plain,((~r(s(elem!1), s(s(s(elem!1))))) | r(z, elem!1) | b(z, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | b(s(s(s(elem!1))), elem!1) | r(s(s(s(elem!1))), s(s(elem!1))) | (s(s(elem!1)) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(22595,plain,
% 4.34/4.52 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22594, 2138, 1729, 6387, 165, 246, 264, 7053, 7050, 2614])).
% 4.34/4.52 tff(22596,plain,
% 4.34/4.52 (b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1515, 22595, 12831])).
% 4.34/4.52 tff(22597,plain,
% 4.34/4.52 (~(s(s(s(elem!1))) = elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2647, 1021, 2138])).
% 4.34/4.52 tff(22598,plain,
% 4.34/4.52 (~(elem!1 = s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1924, 22597])).
% 4.34/4.52 tff(22599,plain,
% 4.34/4.52 (r(elem!1, s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1946, 1940, 22598])).
% 4.34/4.52 tff(22600,plain,
% 4.34/4.52 (r(s(s(s(elem!1))), elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2162, 22597, 7053])).
% 4.34/4.52 tff(22601,plain,
% 4.34/4.52 (~r(s(s(elem!1)), elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[7117, 235, 264])).
% 4.34/4.52 tff(22602,plain,
% 4.34/4.52 (b(s(s(elem!1)), elem!1)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[327, 22601, 12830])).
% 4.34/4.52 tff(22603,plain,
% 4.34/4.52 (b(elem!1, s(s(elem!1)))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[321, 17368, 12246])).
% 4.34/4.52 tff(22604,plain,
% 4.34/4.52 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1966, 235, 22599])).
% 4.34/4.52 tff(22605,plain,
% 4.34/4.52 (b(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1971, 22604, 12902])).
% 4.34/4.52 tff(22606,plain,
% 4.34/4.52 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1336, 22597])).
% 4.34/4.52 tff(22607,plain,
% 4.34/4.52 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2619, 2613, 2614])).
% 4.34/4.52 tff(22608,plain,
% 4.34/4.52 (r(s(elem!1), s(z)) <=> r(s(elem!1), elem!1)),
% 4.34/4.52 inference(monotonicity,[status(thm)],[749])).
% 4.34/4.52 tff(22609,plain,
% 4.34/4.52 (~r(z, s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1733, 749, 1729])).
% 4.34/4.52 tff(22610,plain,
% 4.34/4.52 (b(z, s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[403, 22609])).
% 4.34/4.52 tff(22611,plain,
% 4.34/4.52 (~r(elem!1, z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[6371, 1950, 1353])).
% 4.34/4.52 tff(22612,plain,
% 4.34/4.52 (~r(s(z), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[867, 749, 22611])).
% 4.34/4.52 tff(22613,plain,
% 4.34/4.52 (b(s(z), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[26, 22612])).
% 4.34/4.52 tff(22614,plain,
% 4.34/4.52 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[1350])).
% 4.34/4.52 tff(22615,plain,
% 4.34/4.52 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.34/4.52 inference(symmetry,[status(thm)],[22614])).
% 4.34/4.52 tff(22616,plain,
% 4.34/4.52 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.52 inference(transitivity,[status(thm)],[22615, 10345])).
% 4.34/4.52 tff(22617,plain,
% 4.34/4.52 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[6386, 22616])).
% 4.34/4.52 tff(22618,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.52 inference(symmetry,[status(thm)],[1479])).
% 4.34/4.52 tff(22619,plain,
% 4.34/4.52 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.52 inference(transitivity,[status(thm)],[1477, 22618])).
% 4.34/4.52 tff(22620,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[1500, 22619])).
% 4.34/4.52 tff(22621,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[870])).
% 4.34/4.52 tff(22622,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(symmetry,[status(thm)],[22621])).
% 4.34/4.52 tff(22623,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[1350])).
% 4.34/4.52 tff(22624,plain,
% 4.34/4.52 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.52 inference(symmetry,[status(thm)],[22623])).
% 4.34/4.52 tff(22625,plain,
% 4.34/4.52 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(transitivity,[status(thm)],[22624, 22622])).
% 4.34/4.52 tff(22626,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[6387, 22625])).
% 4.34/4.52 tff(22627,plain,
% 4.34/4.52 (b(s(s(z)), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[869])).
% 4.34/4.52 tff(22628,plain,
% 4.34/4.52 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.52 inference(symmetry,[status(thm)],[22627])).
% 4.34/4.52 tff(22629,plain,
% 4.34/4.52 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[1476])).
% 4.34/4.52 tff(22630,plain,
% 4.34/4.52 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.52 inference(transitivity,[status(thm)],[22629, 22628])).
% 4.34/4.52 tff(22631,plain,
% 4.34/4.52 (b(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[1564, 22630])).
% 4.34/4.52 tff(22632,plain,
% 4.34/4.52 (~b(s(s(z)), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[13638, 22631, 22626, 22620, 22617])).
% 4.34/4.52 tff(22633,plain,
% 4.34/4.52 (r(s(s(z)), s(s(s(z))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[534, 22632])).
% 4.34/4.52 tff(22634,plain,
% 4.34/4.52 (r(s(elem!1), s(s(elem!1)))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[22633, 11719])).
% 4.34/4.52 tff(22635,plain,
% 4.34/4.52 (~r(s(elem!1), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1821, 82, 165, 22634])).
% 4.34/4.52 tff(22636,plain,
% 4.34/4.52 (b(s(elem!1), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1812, 22635])).
% 4.34/4.52 tff(22637,plain,
% 4.34/4.52 (~b(s(elem!1), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[4621, 22636, 22613, 1597, 22610])).
% 4.34/4.52 tff(22638,plain,
% 4.34/4.52 (r(s(elem!1), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[2070, 22637, 1917])).
% 4.34/4.52 tff(22639,plain,
% 4.34/4.52 (r(s(elem!1), elem!1)),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[22638, 22608])).
% 4.34/4.52 tff(22640,plain,
% 4.34/4.52 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[5699, 1482])).
% 4.34/4.52 tff(22641,plain,
% 4.34/4.52 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[749])).
% 4.34/4.52 tff(22642,plain,
% 4.34/4.52 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.34/4.52 inference(transitivity,[status(thm)],[22641, 5923])).
% 4.34/4.52 tff(22643,plain,
% 4.34/4.52 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[22642])).
% 4.34/4.52 tff(22644,plain,
% 4.34/4.52 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[6121, 22643])).
% 4.34/4.52 tff(22645,plain,
% 4.34/4.52 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[22641])).
% 4.34/4.52 tff(22646,plain,
% 4.34/4.52 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[6121, 22645])).
% 4.34/4.52 tff(22647,plain,
% 4.34/4.52 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(22648,plain,
% 4.34/4.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.52 inference(quant_inst,[status(thm)],[])).
% 4.34/4.52 tff(22649,plain,
% 4.34/4.52 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), z))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 4.34/4.52 tff(22650,plain,
% 4.34/4.52 (~r(s(s(s(s(s(s(elem!1)))))), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22649, 82, 1353, 5994])).
% 4.34/4.52 tff(22651,plain,
% 4.34/4.52 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = z) | b(s(s(s(s(s(s(elem!1)))))), z) | r(s(s(s(s(s(s(elem!1)))))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = z) | b(s(s(s(s(s(s(elem!1)))))), z) | r(s(s(s(s(s(s(elem!1)))))), z))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(22652,plain,
% 4.34/4.52 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(elem!1)))))) = z) | b(s(s(s(s(s(s(elem!1)))))), z) | r(s(s(s(s(s(s(elem!1)))))), z))),
% 4.34/4.52 inference(quant_inst,[status(thm)],[])).
% 4.34/4.52 tff(22653,plain,
% 4.34/4.52 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(elem!1)))))) = z) | b(s(s(s(s(s(s(elem!1)))))), z) | r(s(s(s(s(s(s(elem!1)))))), z)),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 4.34/4.52 tff(22654,plain,
% 4.34/4.52 (b(s(s(s(s(s(s(elem!1)))))), z) | r(s(s(s(s(s(s(elem!1)))))), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22653, 21, 5929])).
% 4.34/4.52 tff(22655,plain,
% 4.34/4.52 (b(s(s(s(s(s(s(elem!1)))))), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[22654, 22650])).
% 4.34/4.52 tff(22656,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22657,plain,
% 4.34/4.53 (((~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22658,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z))))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[22657])).
% 4.34/4.53 tff(22659,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(transitivity,[status(thm)],[22658, 22656])).
% 4.34/4.53 tff(22660,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(quant_inst,[status(thm)],[])).
% 4.34/4.53 tff(22661,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z))),
% 4.34/4.53 inference(modus_ponens,[status(thm)],[22660, 22659])).
% 4.34/4.53 tff(22662,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22661, 338, 1021, 1131, 17546, 17544, 22655])).
% 4.34/4.53 tff(22663,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(22664,plain,
% 4.34/4.53 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22663, 22646, 1131, 1021, 22644, 1950, 1353])).
% 4.34/4.53 tff(22665,plain,
% 4.34/4.53 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[17558, 22664, 22640])).
% 4.34/4.53 tff(22666,plain,
% 4.34/4.53 (~b(s(s(s(z))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1749, 1736, 22610, 22613, 1737])).
% 4.34/4.53 tff(22667,plain,
% 4.34/4.53 (r(s(s(s(z))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[135, 22666])).
% 4.34/4.53 tff(22668,plain,
% 4.34/4.53 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 4.34/4.53 inference(monotonicity,[status(thm)],[870])).
% 4.34/4.53 tff(22669,plain,
% 4.34/4.53 ((~b(s(s(s(z))), z)) <=> (~b(s(s(elem!1)), z))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[22668])).
% 4.34/4.53 tff(22670,plain,
% 4.34/4.53 (~b(s(s(elem!1)), z)),
% 4.34/4.53 inference(modus_ponens,[status(thm)],[22666, 22669])).
% 4.34/4.53 tff(22671,plain,
% 4.34/4.53 (r(s(s(elem!1)), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[798, 21, 155, 22670])).
% 4.34/4.53 tff(22672,assumption,(s(s(s(s(s(s(elem!1)))))) = s(elem!1)), introduced(assumption)).
% 4.34/4.53 tff(22673,plain,
% 4.34/4.53 (inj_0(s(s(s(s(s(s(elem!1))))))) = inj_0(s(elem!1))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[22672])).
% 4.34/4.53 tff(22674,plain,
% 4.34/4.53 (inj_0(s(elem!1)) = inj_0(s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.53 inference(symmetry,[status(thm)],[22673])).
% 4.34/4.53 tff(22675,plain,
% 4.34/4.53 (s(z) = s(s(s(s(s(elem!1)))))),
% 4.34/4.53 inference(transitivity,[status(thm)],[749, 5450, 22674, 3177])).
% 4.34/4.53 tff(22676,plain,
% 4.34/4.53 (inj_0(s(z)) = inj_0(s(s(s(s(s(elem!1))))))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[22675])).
% 4.34/4.53 tff(22677,plain,
% 4.34/4.53 (inj_0(s(s(s(s(s(elem!1)))))) = inj_0(s(z))),
% 4.34/4.53 inference(symmetry,[status(thm)],[22676])).
% 4.34/4.53 tff(22678,plain,
% 4.34/4.53 (s(s(s(s(elem!1)))) = inj_0(s(s(s(s(s(elem!1))))))),
% 4.34/4.53 inference(symmetry,[status(thm)],[3175])).
% 4.34/4.53 tff(22679,plain,
% 4.34/4.53 (s(s(s(s(elem!1)))) = z),
% 4.34/4.53 inference(transitivity,[status(thm)],[22678, 22677, 48])).
% 4.34/4.53 tff(22680,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1633, 22679])).
% 4.34/4.53 tff(22681,plain,((~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))) | (~(s(z) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(22682,plain,
% 4.34/4.53 (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22681, 749])).
% 4.34/4.53 tff(22683,plain,
% 4.34/4.53 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1572, 295, 1269, 1482, 1500, 1564, 1475, 749])).
% 4.34/4.53 tff(22684,plain,
% 4.34/4.53 (b(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1585, 22683])).
% 4.34/4.53 tff(22685,plain,
% 4.34/4.53 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1593, 22684, 749])).
% 4.34/4.53 tff(22686,plain,
% 4.34/4.53 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1711, 22685, 1021, 1131, 165])).
% 4.34/4.53 tff(22687,plain,
% 4.34/4.53 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1651, 22686, 1496])).
% 4.34/4.53 tff(22688,plain,
% 4.34/4.53 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1719, 338, 763, 762, 22687, 22685])).
% 4.34/4.53 tff(22689,plain,
% 4.34/4.53 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1724, 22688, 2266])).
% 4.34/4.53 tff(22690,plain,
% 4.34/4.53 (r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 4.34/4.53 inference(modus_ponens,[status(thm)],[22689, 1753])).
% 4.34/4.53 tff(22691,plain,
% 4.34/4.53 (~r(z, s(s(s(s(elem!1)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1760, 22690, 426])).
% 4.34/4.53 tff(22692,plain,
% 4.34/4.53 (b(z, s(s(s(s(elem!1)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1698, 22691])).
% 4.34/4.53 tff(22693,plain,
% 4.34/4.53 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[6043, 5369])).
% 4.34/4.53 tff(22694,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22695,plain,
% 4.34/4.53 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22696,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[22695])).
% 4.34/4.53 tff(22697,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 4.34/4.53 inference(transitivity,[status(thm)],[22696, 22694])).
% 4.34/4.53 tff(22698,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.34/4.53 inference(quant_inst,[status(thm)],[])).
% 4.34/4.53 tff(22699,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))),
% 4.34/4.53 inference(modus_ponens,[status(thm)],[22698, 22697])).
% 4.34/4.53 tff(22700,plain,
% 4.34/4.53 (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22699, 338, 762, 22687, 6386, 22685, 6138])).
% 4.34/4.53 tff(22701,plain,
% 4.34/4.53 (r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[6226, 22700, 22693])).
% 4.34/4.53 tff(22702,assumption,(r(s(s(s(s(s(s(elem!1)))))), z)), introduced(assumption)).
% 4.34/4.53 tff(22703,plain,
% 4.34/4.53 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22704,plain,
% 4.34/4.53 (((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22705,plain,
% 4.34/4.53 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z))))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[22704])).
% 4.34/4.53 tff(22706,plain,
% 4.34/4.53 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(transitivity,[status(thm)],[22705, 22703])).
% 4.34/4.53 tff(22707,plain,
% 4.34/4.53 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 4.34/4.53 inference(quant_inst,[status(thm)],[])).
% 4.34/4.53 tff(22708,plain,
% 4.34/4.53 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z))),
% 4.34/4.53 inference(modus_ponens,[status(thm)],[22707, 22706])).
% 4.34/4.53 tff(22709,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22708, 82, 787, 6213, 22702])).
% 4.34/4.53 tff(22710,plain,((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(22711,plain,
% 4.34/4.53 (~r(s(s(s(s(s(s(elem!1)))))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22710, 22701, 787])).
% 4.34/4.53 tff(22712,plain,
% 4.34/4.53 (b(s(s(s(s(s(s(elem!1)))))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22654, 22711])).
% 4.34/4.53 tff(22713,assumption,(b(s(s(s(s(s(s(elem!1)))))), z)), introduced(assumption)).
% 4.34/4.53 tff(22714,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22715,plain,
% 4.34/4.53 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22716,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z))))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[22715])).
% 4.34/4.53 tff(22717,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(transitivity,[status(thm)],[22716, 22714])).
% 4.34/4.53 tff(22718,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.34/4.53 inference(quant_inst,[status(thm)],[])).
% 4.34/4.53 tff(22719,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z))),
% 4.34/4.53 inference(modus_ponens,[status(thm)],[22718, 22717])).
% 4.34/4.53 tff(22720,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22719, 338, 1021, 1131, 1701, 1621, 6187, 22713])).
% 4.34/4.53 tff(22721,plain,((~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(22722,plain,
% 4.34/4.53 (~b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22721, 22712, 1131, 22692, 22685, 1021])).
% 4.34/4.53 tff(22723,plain,
% 4.34/4.53 (r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[6151, 22722, 22644])).
% 4.34/4.53 tff(22724,plain,
% 4.34/4.53 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[6098, 82, 295, 22723])).
% 4.34/4.53 tff(22725,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22726,plain,
% 4.34/4.53 (((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(22727,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), z))))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[22726])).
% 4.34/4.53 tff(22728,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.34/4.53 inference(transitivity,[status(thm)],[22727, 22725])).
% 4.34/4.53 tff(22729,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.53 inference(quant_inst,[status(thm)],[])).
% 4.34/4.53 tff(22730,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), z))),
% 4.34/4.53 inference(modus_ponens,[status(thm)],[22729, 22728])).
% 4.34/4.53 tff(22731,plain,
% 4.34/4.53 (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22730, 338, 1021, 22692, 1796, 22685, 22712])).
% 4.34/4.53 tff(22732,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[17602, 22731, 22724, 22682])).
% 4.34/4.53 tff(22733,plain,((~r(s(elem!1), elem!1)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~(s(z) = elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(22734,plain,
% 4.34/4.53 (~r(s(elem!1), elem!1)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22733, 22636, 1021, 1131, 22671, 22667, 749, 762, 6386, 22665, 763, 1496, 165, 1269, 1482, 1500, 1564, 1475])).
% 4.34/4.53 tff(22735,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22734, 22639])).
% 4.34/4.53 tff(22736,plain,((~(s(z) = elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (s(elem!1) = s(z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(22737,plain,
% 4.34/4.53 (~(s(z) = elem!1)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22736, 22607, 1131, 762, 1021, 763, 12903, 165, 22600, 22606, 22605, 1564, 1475, 22599, 7031, 1917, 1597, 6387, 1729])).
% 4.34/4.53 tff(22738,plain,
% 4.34/4.53 (~b(s(z), elem!1)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[18134, 1854, 1353, 1021, 1131])).
% 4.34/4.53 tff(22739,plain,
% 4.34/4.53 (~r(s(z), elem!1)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1862, 1854, 1269])).
% 4.34/4.53 tff(22740,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[701, 22739, 22738, 691])).
% 4.34/4.53 tff(22741,plain,((~r(s(z), s(s(s(elem!1))))) | (s(z) = elem!1) | (~r(s(s(s(elem!1))), elem!1)) | (~r(z, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(22742,plain,
% 4.34/4.53 (~r(s(z), s(s(s(elem!1))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22741, 22737, 22600, 7031, 1021, 1131])).
% 4.34/4.53 tff(22743,plain,
% 4.34/4.53 (b(s(z), s(s(s(elem!1))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1870, 22742])).
% 4.34/4.53 tff(22744,plain,
% 4.34/4.53 (~r(s(z), s(s(s(elem!1))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[22741, 691, 22600, 7031, 1021, 1131])).
% 4.34/4.53 tff(22745,plain,
% 4.34/4.53 (b(s(z), s(s(s(elem!1))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1870, 22744])).
% 4.34/4.53 tff(22746,plain,
% 4.34/4.53 (~b(s(z), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[10095, 691, 7050, 7053, 12246, 2613, 2138, 1940, 1382])).
% 4.34/4.53 tff(22747,plain,
% 4.34/4.53 (r(s(z), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[26, 22746])).
% 4.34/4.53 tff(22748,plain,
% 4.34/4.53 (~r(s(z), s(s(elem!1)))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[729, 22747, 165])).
% 4.34/4.53 tff(22749,plain,
% 4.34/4.53 (b(s(z), s(s(elem!1)))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[743, 22748])).
% 4.34/4.53 tff(22750,plain,
% 4.34/4.53 (~r(s(s(s(elem!1))), s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[2599, 22747, 7062])).
% 4.34/4.53 tff(22751,plain,
% 4.34/4.53 (b(s(s(s(elem!1))), s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1990, 22750])).
% 4.34/4.53 tff(22752,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[7259, 22751, 22749, 6387, 6386, 22745])).
% 4.34/4.54 tff(22753,plain,((s(z) = elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, z)) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(elem!1))), elem!1) | r(s(s(elem!1)), s(s(s(elem!1)))) | b(z, s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | b(s(s(s(elem!1))), z)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22754,plain,
% 4.34/4.54 (b(s(s(s(elem!1))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22753, 22737, 22607, 165, 1021, 1131, 7050, 7053, 2613, 2138, 1940, 6387])).
% 4.34/4.54 tff(22755,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(22756,plain,
% 4.34/4.54 (((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(22757,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1))))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22756])).
% 4.34/4.54 tff(22758,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[22757, 22755])).
% 4.34/4.54 tff(22759,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1)))))),
% 4.34/4.54 inference(quant_inst,[status(thm)],[])).
% 4.34/4.54 tff(22760,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22759, 22758])).
% 4.34/4.54 tff(22761,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22760, 338, 1500, 1596, 1597, 6386, 747, 1880])).
% 4.34/4.54 tff(22762,plain,((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22763,plain,
% 4.34/4.54 (~b(s(z), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22762, 22754, 22607, 22743, 22605, 1597])).
% 4.34/4.54 tff(22764,plain,
% 4.34/4.54 (~r(elem!1, z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6371, 22599, 7031])).
% 4.34/4.54 tff(22765,plain,
% 4.34/4.54 (~b(s(z), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7145, 22737, 165, 22600, 22599, 235, 1729, 22764, 12246, 22607, 6387])).
% 4.34/4.54 tff(22766,plain,
% 4.34/4.54 (r(s(z), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[26, 22765])).
% 4.34/4.54 tff(22767,plain,
% 4.34/4.54 (~r(s(z), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[729, 22766, 165])).
% 4.34/4.54 tff(22768,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[743, 22767, 22763])).
% 4.34/4.54 tff(22769,plain,(r(s(s(elem!1)), s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, z)) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(elem!1))), elem!1) | b(z, s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(elem!1))) | r(z, elem!1) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (s(elem!1) = s(z)) | (s(s(elem!1)) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22770,plain,
% 4.34/4.54 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22769, 235, 6584, 1021, 1131, 7050, 7053, 2138, 1940, 6387, 165, 1729, 22603, 22602, 1564, 1475, 1917, 2614])).
% 4.34/4.54 tff(22771,plain,
% 4.34/4.54 (~r(s(s(elem!1)), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7217, 22770, 7031])).
% 4.34/4.54 tff(22772,plain,
% 4.34/4.54 (b(s(s(elem!1)), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[800, 22771])).
% 4.34/4.54 tff(22773,plain,
% 4.34/4.54 (~b(s(z), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[20987, 22602, 1021, 165, 1131, 22603, 22772])).
% 4.34/4.54 tff(22774,plain,
% 4.34/4.54 (s(z) = elem!1),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2009, 22773, 22600, 22599, 3058, 235, 12831])).
% 4.34/4.54 tff(22775,plain,
% 4.34/4.54 (b(s(s(s(z))), s(z)) <=> b(s(s(s(z))), elem!1)),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22774])).
% 4.34/4.54 tff(22776,plain,
% 4.34/4.54 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(z))),
% 4.34/4.54 inference(symmetry,[status(thm)],[22775])).
% 4.34/4.54 tff(22777,plain,
% 4.34/4.54 (s(s(z)) = s(elem!1)),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22774])).
% 4.34/4.54 tff(22778,plain,
% 4.34/4.54 (s(s(s(z))) = s(s(elem!1))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22777])).
% 4.34/4.54 tff(22779,plain,
% 4.34/4.54 (b(s(s(s(z))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22778])).
% 4.34/4.54 tff(22780,plain,
% 4.34/4.54 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(z))), elem!1)),
% 4.34/4.54 inference(symmetry,[status(thm)],[22779])).
% 4.34/4.54 tff(22781,plain,
% 4.34/4.54 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(z))), s(z))),
% 4.34/4.54 inference(transitivity,[status(thm)],[22780, 22776])).
% 4.34/4.54 tff(22782,plain,
% 4.34/4.54 (b(s(s(s(z))), s(z))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22602, 22781])).
% 4.34/4.54 tff(22783,plain,
% 4.34/4.54 (~r(s(z), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[867, 22774, 22764])).
% 4.34/4.54 tff(22784,plain,
% 4.34/4.54 (b(s(z), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[26, 22783])).
% 4.34/4.54 tff(22785,plain,
% 4.34/4.54 (~r(z, s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1733, 22774, 1729])).
% 4.34/4.54 tff(22786,plain,
% 4.34/4.54 (b(z, s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[403, 22785])).
% 4.34/4.54 tff(22787,plain,
% 4.34/4.54 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22778])).
% 4.34/4.54 tff(22788,plain,
% 4.34/4.54 (b(s(s(elem!1)), z) <=> b(s(s(s(z))), z)),
% 4.34/4.54 inference(symmetry,[status(thm)],[22787])).
% 4.34/4.54 tff(22789,plain,
% 4.34/4.54 (b(s(s(s(z))), z)),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22772, 22788])).
% 4.34/4.54 tff(22790,plain,
% 4.34/4.54 (b(s(z), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22774])).
% 4.34/4.54 tff(22791,plain,
% 4.34/4.54 (b(elem!1, s(s(s(z)))) <=> b(s(z), s(s(s(z))))),
% 4.34/4.54 inference(symmetry,[status(thm)],[22790])).
% 4.34/4.54 tff(22792,plain,
% 4.34/4.54 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22778])).
% 4.34/4.54 tff(22793,plain,
% 4.34/4.54 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(z))))),
% 4.34/4.54 inference(symmetry,[status(thm)],[22792])).
% 4.34/4.54 tff(22794,plain,
% 4.34/4.54 (b(elem!1, s(s(elem!1))) <=> b(s(z), s(s(s(z))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[22793, 22791])).
% 4.34/4.54 tff(22795,plain,
% 4.34/4.54 (b(s(z), s(s(s(z))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22603, 22794])).
% 4.34/4.54 tff(22796,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1749, 22795, 22789, 22786, 22784, 22782])).
% 4.34/4.54 tff(22797,plain,((~r(elem!1, s(elem!1))) | r(z, elem!1) | (~b(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~b(elem!1, z)) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(elem!1))), elem!1) | b(z, s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (s(elem!1) = s(z)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22798,plain,
% 4.34/4.54 (~r(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22797, 22558, 4712, 165, 1729, 7050, 7053, 2138, 1940, 6387, 22596, 1475, 9076, 2614, 264])).
% 4.34/4.54 tff(22799,plain,
% 4.34/4.54 (b(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[252, 22798, 246])).
% 4.34/4.54 tff(22800,plain,
% 4.34/4.54 (~b(s(elem!1), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7200, 22799, 6584, 4712, 22558])).
% 4.34/4.54 tff(22801,plain,
% 4.34/4.54 (r(s(elem!1), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1812, 22800])).
% 4.34/4.54 tff(22802,plain,
% 4.34/4.54 (~r(s(elem!1), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1823, 22801, 165])).
% 4.34/4.54 tff(22803,plain,
% 4.34/4.54 (b(s(elem!1), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[3081, 22802, 1788])).
% 4.34/4.54 tff(22804,plain,
% 4.34/4.54 (~r(s(s(elem!1)), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[5958, 22801, 264])).
% 4.34/4.54 tff(22805,plain,
% 4.34/4.54 (b(s(s(elem!1)), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[800, 22804])).
% 4.34/4.54 tff(22806,plain,
% 4.34/4.54 (~b(s(s(elem!1)), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7230, 22805, 6387, 4712, 22803, 22596])).
% 4.34/4.54 tff(22807,plain,
% 4.34/4.54 (r(s(s(elem!1)), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[327, 22806, 12830])).
% 4.34/4.54 tff(22808,plain,
% 4.34/4.54 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6487, 22807, 22556])).
% 4.34/4.54 tff(22809,plain,
% 4.34/4.54 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2619, 22808, 2614])).
% 4.34/4.54 tff(22810,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[8912, 338, 22558, 6584, 22596, 22799, 22809, 22803])).
% 4.34/4.54 tff(22811,plain,(b(elem!1, s(s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(elem!1)) | r(z, elem!1) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(elem!1))), elem!1) | b(z, s(s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22812,plain,
% 4.34/4.54 (b(elem!1, s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22811, 719, 6387, 1788, 264, 165, 246, 1729, 7050, 7053, 2138, 1475, 2614])).
% 4.34/4.54 tff(22813,plain,
% 4.34/4.54 (r(s(s(s(elem!1))), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2162, 22554, 7053])).
% 4.34/4.54 tff(22814,plain,
% 4.34/4.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(22815,plain,
% 4.34/4.54 (((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))) <=> ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(22816,plain,
% 4.34/4.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22815])).
% 4.34/4.54 tff(22817,plain,
% 4.34/4.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[22816, 22814])).
% 4.34/4.54 tff(22818,plain,
% 4.34/4.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))))),
% 4.34/4.54 inference(quant_inst,[status(thm)],[])).
% 4.34/4.54 tff(22819,plain,
% 4.34/4.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1)))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 4.34/4.54 tff(22820,plain,
% 4.34/4.54 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22819, 82, 254, 1269])).
% 4.34/4.54 tff(22821,plain,
% 4.34/4.54 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2619, 22820, 2614])).
% 4.34/4.54 tff(22822,plain,
% 4.34/4.54 (~r(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7117, 254, 264])).
% 4.34/4.54 tff(22823,plain,
% 4.34/4.54 (b(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[252, 22822, 246])).
% 4.34/4.54 tff(22824,plain,
% 4.34/4.54 (~b(s(elem!1), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7189, 338, 4712, 6584, 1564, 22823, 22821])).
% 4.34/4.54 tff(22825,plain,
% 4.34/4.54 (r(s(elem!1), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[3081, 22824, 1788])).
% 4.34/4.54 tff(22826,plain,
% 4.34/4.54 (~b(s(elem!1), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22576, 22823, 6387, 6584, 719, 137, 165, 1729, 1929])).
% 4.34/4.54 tff(22827,plain,
% 4.34/4.54 (r(s(elem!1), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[312, 22826, 10111])).
% 4.34/4.54 tff(22828,plain,
% 4.34/4.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(22829,plain,
% 4.34/4.54 (((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1))))) <=> ((~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(22830,plain,
% 4.34/4.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), s(s(elem!1))))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22829])).
% 4.34/4.54 tff(22831,plain,
% 4.34/4.54 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[22830, 22828])).
% 4.34/4.54 tff(22832,plain,
% 4.34/4.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.34/4.54 inference(quant_inst,[status(thm)],[])).
% 4.34/4.54 tff(22833,plain,
% 4.34/4.54 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), s(s(elem!1))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22832, 22831])).
% 4.34/4.54 tff(22834,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22833, 82, 22827, 254, 22825])).
% 4.34/4.54 tff(22835,plain,((~r(s(s(elem!1)), elem!1)) | (s(elem!1) = s(s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = z) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | r(z, elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (elem!1 = s(elem!1)) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22836,plain,
% 4.34/4.54 (~r(s(s(elem!1)), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22835, 22813, 22596, 2614, 1788, 6387, 719, 12246, 165, 1729, 22812, 246, 264])).
% 4.34/4.54 tff(22837,plain,
% 4.34/4.54 (b(s(s(elem!1)), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[327, 22836, 12830])).
% 4.34/4.54 tff(22838,plain,
% 4.34/4.54 (~b(elem!1, s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[16821, 4712, 22837, 22812, 6387, 7031, 2614])).
% 4.34/4.54 tff(22839,plain,
% 4.34/4.54 (r(elem!1, s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[321, 22838, 12246])).
% 4.34/4.54 tff(22840,plain,
% 4.34/4.54 (~r(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2715, 22839, 264])).
% 4.34/4.54 tff(22841,plain,
% 4.34/4.54 (b(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[252, 22840, 246])).
% 4.34/4.54 tff(22842,plain,
% 4.34/4.54 (~r(elem!1, z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1081, 22839, 165])).
% 4.34/4.54 tff(22843,plain,
% 4.34/4.54 (b(elem!1, z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[846, 22842, 719])).
% 4.34/4.54 tff(22844,plain,
% 4.34/4.54 (~b(s(elem!1), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7200, 22843, 6584, 4712, 22841])).
% 4.34/4.54 tff(22845,plain,
% 4.34/4.54 (r(s(elem!1), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1812, 22844])).
% 4.34/4.54 tff(22846,plain,
% 4.34/4.54 ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[20018, 338, 4712, 22837, 22812, 22596])).
% 4.34/4.54 tff(22847,plain,
% 4.34/4.54 (~b(s(s(elem!1)), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22846, 22841])).
% 4.34/4.54 tff(22848,plain,
% 4.34/4.54 (r(s(s(elem!1)), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[800, 22847])).
% 4.34/4.54 tff(22849,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[5958, 22848, 22845, 264])).
% 4.34/4.54 tff(22850,plain,((elem!1 = z) | (~r(s(s(elem!1)), s(elem!1))) | (elem!1 = s(elem!1)) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | r(z, elem!1) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(elem!1))), elem!1) | b(z, s(s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22851,plain,
% 4.34/4.54 (elem!1 = z),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22850, 2138, 246, 165, 6387, 2614, 1788, 1729, 7050, 7053, 264, 1475])).
% 4.34/4.54 tff(22852,plain,
% 4.34/4.54 (s(elem!1) = s(z)),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22851])).
% 4.34/4.54 tff(22853,plain,
% 4.34/4.54 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(z), s(s(s(elem!1))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22852])).
% 4.34/4.54 tff(22854,plain,
% 4.34/4.54 (b(s(z), s(s(s(elem!1))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22596, 22853])).
% 4.34/4.54 tff(22855,plain,
% 4.34/4.54 (r(elem!1, s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6626, 22851, 7031])).
% 4.34/4.54 tff(22856,plain,
% 4.34/4.54 (r(elem!1, s(s(elem!1))) <=> r(z, s(s(elem!1)))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22851])).
% 4.34/4.54 tff(22857,plain,
% 4.34/4.54 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.34/4.54 inference(symmetry,[status(thm)],[22856])).
% 4.34/4.54 tff(22858,plain,
% 4.34/4.54 (r(elem!1, s(s(elem!1)))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[165, 22857])).
% 4.34/4.54 tff(22859,plain,
% 4.34/4.54 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7644, 22858, 22855])).
% 4.34/4.54 tff(22860,plain,
% 4.34/4.54 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2619, 22859, 2614])).
% 4.34/4.54 tff(22861,plain,
% 4.34/4.54 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(elem!1))), z)),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22851])).
% 4.34/4.54 tff(22862,plain,
% 4.34/4.54 ((~b(s(s(s(elem!1))), elem!1)) <=> (~b(s(s(s(elem!1))), z))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22861])).
% 4.34/4.54 tff(22863,plain,
% 4.34/4.54 (~b(s(s(s(elem!1))), z)),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[7053, 22862])).
% 4.34/4.54 tff(22864,plain,
% 4.34/4.54 (r(s(s(s(elem!1))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1387, 22863])).
% 4.34/4.54 tff(22865,plain,
% 4.34/4.54 (b(elem!1, s(s(s(elem!1)))) <=> b(z, s(s(s(elem!1))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22851])).
% 4.34/4.54 tff(22866,plain,
% 4.34/4.54 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.34/4.54 inference(symmetry,[status(thm)],[22865])).
% 4.34/4.54 tff(22867,plain,
% 4.34/4.54 ((~b(z, s(s(s(elem!1))))) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22866])).
% 4.34/4.54 tff(22868,plain,
% 4.34/4.54 (~b(elem!1, s(s(s(elem!1))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[2138, 22867])).
% 4.34/4.54 tff(22869,plain,
% 4.34/4.54 ((s(z) = elem!1) <=> (s(z) = z)),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22851])).
% 4.34/4.54 tff(22870,plain,
% 4.34/4.54 ((s(z) = z) <=> (s(z) = elem!1)),
% 4.34/4.54 inference(symmetry,[status(thm)],[22869])).
% 4.34/4.54 tff(22871,plain,
% 4.34/4.54 ((~(s(z) = z)) <=> (~(s(z) = elem!1))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22870])).
% 4.34/4.54 tff(22872,plain,
% 4.34/4.54 (~(s(z) = elem!1)),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[11, 22871])).
% 4.34/4.54 tff(22873,plain,
% 4.34/4.54 (~b(s(z), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[8222, 22872, 165, 12246, 22868, 2138, 22859, 6387, 22864, 7053, 1729])).
% 4.34/4.54 tff(22874,plain,
% 4.34/4.54 (r(s(z), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[26, 22873])).
% 4.34/4.54 tff(22875,plain,
% 4.34/4.54 (~r(s(z), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[729, 22874, 165])).
% 4.34/4.54 tff(22876,plain,
% 4.34/4.54 (b(s(z), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[743, 22875])).
% 4.34/4.54 tff(22877,plain,
% 4.34/4.54 (~r(s(s(s(elem!1))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2599, 22874, 22864])).
% 4.34/4.54 tff(22878,plain,
% 4.34/4.54 (b(s(s(s(elem!1))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1990, 22877])).
% 4.34/4.54 tff(22879,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7259, 22878, 22876, 6387, 22860, 22854])).
% 4.34/4.54 tff(22880,plain,(b(z, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | b(s(s(s(elem!1))), elem!1) | r(z, elem!1) | (elem!1 = s(elem!1)) | (s(elem!1) = s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22881,plain,
% 4.34/4.54 (b(z, s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22880, 7053, 162, 22551, 22549, 1729, 22552, 22550, 7050, 264, 22553])).
% 4.34/4.54 tff(22882,plain,
% 4.34/4.54 (~(s(elem!1) = elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1473, 22552])).
% 4.34/4.54 tff(22883,plain,
% 4.34/4.54 (z = elem!1),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[353, 177, 1729])).
% 4.34/4.54 tff(22884,plain,
% 4.34/4.54 (elem!1 = z),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2752, 22883])).
% 4.34/4.54 tff(22885,plain,
% 4.34/4.54 (~r(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7088, 22884, 12211])).
% 4.34/4.54 tff(22886,plain,
% 4.34/4.54 (b(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[252, 22885, 22552])).
% 4.34/4.54 tff(22887,plain,
% 4.34/4.54 (~(s(s(s(elem!1))) = elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2149, 177, 1595])).
% 4.34/4.54 tff(22888,plain,
% 4.34/4.54 (r(s(s(s(elem!1))), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2162, 22887, 7053])).
% 4.34/4.54 tff(22889,plain,
% 4.34/4.54 (r(s(s(s(elem!1))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1316, 1269, 703])).
% 4.34/4.54 tff(22890,plain,
% 4.34/4.54 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1336, 22887])).
% 4.34/4.54 tff(22891,plain,
% 4.34/4.54 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[5699, 22890])).
% 4.34/4.54 tff(22892,plain,
% 4.34/4.54 (~(s(s(s(s(elem!1)))) = s(elem!1))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22890, 1536])).
% 4.34/4.54 tff(22893,plain,
% 4.34/4.54 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[703])).
% 4.34/4.54 tff(22894,plain,
% 4.34/4.54 (b(elem!1, s(s(s(elem!1))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[1595, 22893])).
% 4.34/4.54 tff(22895,plain,
% 4.34/4.54 (~r(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7088, 4476, 12211])).
% 4.34/4.54 tff(22896,plain,
% 4.34/4.54 (b(elem!1, s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[252, 22895, 1469])).
% 4.34/4.54 tff(22897,plain,
% 4.34/4.54 (b(z, s(s(s(s(elem!1))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[703])).
% 4.34/4.54 tff(22898,plain,
% 4.34/4.54 (~r(s(elem!1), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1510, 1502, 1269])).
% 4.34/4.54 tff(22899,plain,
% 4.34/4.54 (b(s(elem!1), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[312, 22898, 306])).
% 4.34/4.54 tff(22900,plain,
% 4.34/4.54 (r(s(z), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[2806])).
% 4.34/4.54 tff(22901,plain,
% 4.34/4.54 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(z), s(s(s(elem!1))))),
% 4.34/4.54 inference(symmetry,[status(thm)],[22900])).
% 4.34/4.54 tff(22902,plain,
% 4.34/4.54 (r(s(z), s(s(s(elem!1))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[1502, 22901])).
% 4.34/4.54 tff(22903,plain,
% 4.34/4.54 (~r(s(z), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[11137, 22902, 22889])).
% 4.34/4.54 tff(22904,plain,
% 4.34/4.54 (b(s(z), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[26, 22903])).
% 4.34/4.54 tff(22905,plain,
% 4.34/4.54 (~r(s(s(s(s(z)))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7393, 6386, 6387, 5950, 703, 1475, 1269, 162])).
% 4.34/4.54 tff(22906,plain,
% 4.34/4.54 (b(s(s(s(s(z)))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[127, 22905])).
% 4.34/4.54 tff(22907,plain,
% 4.34/4.54 (r(s(s(z)), s(z))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[264, 17792])).
% 4.34/4.54 tff(22908,assumption,(~(s(s(s(s(elem!1)))) = s(elem!1))), introduced(assumption)).
% 4.34/4.54 tff(22909,plain,
% 4.34/4.54 (b(s(z), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[2806])).
% 4.34/4.54 tff(22910,plain,
% 4.34/4.54 (r(s(z), s(s(s(z))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[4520, 1502, 4476])).
% 4.34/4.54 tff(22911,plain,
% 4.34/4.54 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[6164, 7293])).
% 4.34/4.54 tff(22912,plain,
% 4.34/4.54 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22911])).
% 4.34/4.54 tff(22913,plain,
% 4.34/4.54 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[5711, 22912])).
% 4.34/4.54 tff(22914,plain,
% 4.34/4.54 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[9440, 6138, 4476, 6387, 6386, 459])).
% 4.34/4.54 tff(22915,plain,
% 4.34/4.54 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17798, 22914])).
% 4.34/4.54 tff(22916,plain,
% 4.34/4.54 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6111, 22915, 703])).
% 4.34/4.54 tff(22917,plain,
% 4.34/4.54 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[8203, 6138, 6044, 6387, 6386, 254])).
% 4.34/4.54 tff(22918,plain,
% 4.34/4.54 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6151, 22917, 5930])).
% 4.34/4.54 tff(22919,plain,
% 4.34/4.54 (~b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[8027, 22918, 314, 22916, 315])).
% 4.34/4.54 tff(22920,plain,
% 4.34/4.54 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6185, 22919, 6168])).
% 4.34/4.54 tff(22921,plain,
% 4.34/4.54 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6221, 22920, 254])).
% 4.34/4.54 tff(22922,plain,
% 4.34/4.54 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6226, 22921, 6044])).
% 4.34/4.54 tff(22923,plain,
% 4.34/4.54 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6180, 22920, 279])).
% 4.34/4.54 tff(22924,plain,
% 4.34/4.54 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6063, 22923, 6052])).
% 4.34/4.54 tff(22925,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7986, 22924, 22922, 6386, 6138, 6387])).
% 4.34/4.54 tff(22926,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~(z = elem!1)) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(22927,plain,
% 4.34/4.54 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22926, 254, 6387, 5712, 6386, 314, 315, 703, 459])).
% 4.34/4.54 tff(22928,plain,
% 4.34/4.54 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7993, 22927, 703])).
% 4.34/4.54 tff(22929,plain,
% 4.34/4.54 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7998, 22928, 22913])).
% 4.34/4.54 tff(22930,plain,
% 4.34/4.54 (~r(elem!1, s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[9542, 22929, 22910, 315, 314, 4476])).
% 4.34/4.54 tff(22931,plain,
% 4.34/4.54 (~r(z, s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[6626, 22930, 4476])).
% 4.34/4.54 tff(22932,plain,
% 4.34/4.54 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1651, 15359, 9586])).
% 4.34/4.54 tff(22933,plain,
% 4.34/4.54 (~r(s(s(s(elem!1))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[13842, 12171, 140, 7552, 177, 2793])).
% 4.34/4.54 tff(22934,plain,
% 4.34/4.54 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7807, 22933, 703])).
% 4.34/4.54 tff(22935,plain,
% 4.34/4.54 (b(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1971, 22934, 222])).
% 4.34/4.54 tff(22936,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(22937,plain,
% 4.34/4.54 (((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(22938,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[22937])).
% 4.34/4.54 tff(22939,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.34/4.54 inference(transitivity,[status(thm)],[22938, 22936])).
% 4.34/4.54 tff(22940,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))),
% 4.34/4.54 inference(quant_inst,[status(thm)],[])).
% 4.34/4.54 tff(22941,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22940, 22939])).
% 4.34/4.54 tff(22942,plain,
% 4.34/4.54 (~b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[22941, 338, 22935, 1929, 315, 314, 7508])).
% 4.34/4.54 tff(22943,plain,
% 4.34/4.54 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17655, 22942, 22908])).
% 4.34/4.54 tff(22944,plain,
% 4.34/4.54 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7820, 22943, 1502])).
% 4.34/4.54 tff(22945,plain,
% 4.34/4.54 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1562, 22944, 1475])).
% 4.34/4.54 tff(22946,plain,
% 4.34/4.54 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7824, 22945, 6387, 22932, 6386])).
% 4.34/4.54 tff(22947,plain,
% 4.34/4.54 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1724, 22946, 9587])).
% 4.34/4.54 tff(22948,plain,
% 4.34/4.54 (b(z, s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[703])).
% 4.34/4.54 tff(22949,plain,
% 4.34/4.54 (b(elem!1, s(s(s(z)))) <=> b(z, s(s(s(z))))),
% 4.34/4.54 inference(symmetry,[status(thm)],[22948])).
% 4.34/4.54 tff(22950,plain,
% 4.34/4.54 (b(elem!1, s(s(s(elem!1)))) <=> b(z, s(s(s(z))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[2810, 22949])).
% 4.34/4.54 tff(22951,plain,
% 4.34/4.54 (b(z, s(s(s(z))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[1929, 22950])).
% 4.34/4.54 tff(22952,plain,
% 4.34/4.54 (b(s(s(s(z))), s(z))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[22935, 5738])).
% 4.34/4.54 tff(22953,plain,
% 4.34/4.54 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[16009, 22952, 7465, 22951, 175, 1740])).
% 4.34/4.54 tff(22954,plain,
% 4.34/4.54 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[119, 22953])).
% 4.34/4.54 tff(22955,plain,
% 4.34/4.54 (~r(s(z), s(s(s(s(elem!1)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7454, 22954, 6387, 22910, 703, 6386, 22932])).
% 4.34/4.54 tff(22956,plain,
% 4.34/4.54 (b(s(z), s(s(s(s(elem!1)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2239, 22955])).
% 4.34/4.54 tff(22957,plain,
% 4.34/4.54 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7429, 22956, 314, 315, 703, 7508])).
% 4.34/4.54 tff(22958,plain,
% 4.34/4.54 (r(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[2297, 22957, 2835])).
% 4.34/4.54 tff(22959,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[5975, 22958, 22947, 254])).
% 4.34/4.54 tff(22960,plain,(b(s(z), s(s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~(z = elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(elem!1)) | b(z, s(s(elem!1))) | b(z, elem!1) | r(z, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(22961,plain,
% 4.34/4.55 (b(s(z), s(s(elem!1)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[22960, 22931, 314, 315, 703, 6387, 6386, 1475, 1502, 22908, 175, 1740, 1929, 222, 140, 177, 254])).
% 4.34/4.55 tff(22962,plain,
% 4.34/4.55 (b(s(elem!1), s(s(elem!1)))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[22961, 22909])).
% 4.34/4.55 tff(22963,plain,
% 4.34/4.55 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17558, 22927, 5711])).
% 4.34/4.55 tff(22964,plain,
% 4.34/4.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(22965,plain,
% 4.34/4.55 (((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))) <=> ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(22966,plain,
% 4.34/4.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[22965])).
% 4.34/4.55 tff(22967,plain,
% 4.34/4.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[22966, 22964])).
% 4.34/4.55 tff(22968,plain,
% 4.34/4.55 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(22969,plain,
% 4.34/4.55 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[22968, 22967])).
% 4.34/4.55 tff(22970,plain,
% 4.34/4.55 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[22969, 82, 1502, 5994])).
% 4.34/4.55 tff(22971,plain,
% 4.34/4.55 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17602, 22970, 17630])).
% 4.34/4.55 tff(22972,plain,
% 4.34/4.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(22973,plain,
% 4.34/4.55 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(22974,plain,
% 4.34/4.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[22973])).
% 4.34/4.55 tff(22975,plain,
% 4.34/4.55 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[22974, 22972])).
% 4.34/4.55 tff(22976,plain,
% 4.34/4.55 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(22977,plain,
% 4.34/4.55 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 4.34/4.55 tff(22978,plain,
% 4.34/4.55 (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[22977, 82, 1502, 5994])).
% 4.34/4.55 tff(22979,plain,
% 4.34/4.55 (b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17650, 22978, 17636])).
% 4.34/4.55 tff(22980,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(22981,plain,
% 4.34/4.55 (((~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1))))))))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(22982,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[22981])).
% 4.34/4.55 tff(22983,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[22982, 22980])).
% 4.34/4.55 tff(22984,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(22985,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 4.34/4.55 tff(22986,plain,
% 4.34/4.55 ($false),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[22985, 338, 315, 314, 6188, 7945, 8019])).
% 4.34/4.55 tff(22987,plain,((~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(22988,plain,
% 4.34/4.55 (~b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[22987, 22979, 314, 22971, 315])).
% 4.34/4.55 tff(22989,plain,
% 4.34/4.55 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[6185, 22988, 6171])).
% 4.34/4.55 tff(22990,plain,
% 4.34/4.55 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[6221, 22989, 254])).
% 4.34/4.55 tff(22991,plain,
% 4.34/4.55 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[6226, 22990, 6049])).
% 4.34/4.55 tff(22992,plain,
% 4.34/4.55 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[6180, 22989, 279])).
% 4.34/4.55 tff(22993,plain,
% 4.34/4.55 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[6063, 22992, 8194])).
% 4.34/4.55 tff(22994,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(22995,plain,
% 4.34/4.55 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(22996,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[22995])).
% 4.34/4.55 tff(22997,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[22996, 22994])).
% 4.34/4.55 tff(22998,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(22999,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[22998, 22997])).
% 4.34/4.55 tff(23000,plain,
% 4.34/4.55 ($false),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[22999, 338, 1620, 22993, 22991, 22979, 22971])).
% 4.34/4.55 tff(23001,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (s(elem!1) = s(s(s(s(s(s(elem!1))))))) | (s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | (~r(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(23002,plain,
% 4.34/4.55 (~b(s(elem!1), s(s(elem!1)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[23001, 22963, 6044, 5712, 254, 6168, 314, 315, 17534, 17526, 1502])).
% 4.34/4.55 tff(23003,plain,
% 4.34/4.55 ($false),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[23002, 22962])).
% 4.34/4.55 tff(23004,plain,((~r(s(s(elem!1)), elem!1)) | (~(z = elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(elem!1, s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(elem!1)) | b(z, s(s(elem!1))) | b(z, elem!1) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(23005,plain,
% 4.34/4.55 (~r(s(s(elem!1)), elem!1)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[23004, 22899, 703, 315, 6387, 6386, 1475, 1502, 22908, 22906, 22904, 1929, 5949, 140, 177, 5711, 22907])).
% 4.34/4.55 tff(23006,plain,
% 4.34/4.55 (b(s(s(elem!1)), elem!1)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[327, 23005, 207])).
% 4.34/4.55 tff(23007,plain,
% 4.34/4.55 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[7870, 2301, 314, 3218, 315, 703, 7508, 264, 763])).
% 4.34/4.55 tff(23008,plain,
% 4.34/4.55 (r(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[2297, 23007, 2835])).
% 4.34/4.55 tff(23009,plain,
% 4.34/4.55 (r(z, s(s(s(s(z)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[3004, 23008, 4476])).
% 4.34/4.55 tff(23010,plain,
% 4.34/4.55 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[10813, 23009, 7465, 22951, 175, 1740])).
% 4.34/4.55 tff(23011,plain,
% 4.34/4.55 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[689, 23010])).
% 4.34/4.55 tff(23012,plain,
% 4.34/4.55 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[23011, 4464])).
% 4.34/4.55 tff(23013,plain,
% 4.34/4.55 (((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1))))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(23014,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[23013])).
% 4.34/4.55 tff(23015,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[23014, 13208])).
% 4.34/4.55 tff(23016,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(23017,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[23016, 23015])).
% 4.34/4.55 tff(23018,plain,
% 4.34/4.55 ($false),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[23017, 338, 763, 1929, 6387, 2301, 6386, 23012])).
% 4.34/4.55 tff(23019,plain,((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~(z = elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(elem!1), elem!1)) | (s(s(elem!1)) = s(s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(23020,plain,
% 4.34/4.55 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[23019, 23006, 1929, 6387, 6386, 703, 22906, 22904, 22899, 5951, 315, 264])).
% 4.34/4.55 tff(23021,plain,
% 4.34/4.55 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[1651, 23020, 5950])).
% 4.34/4.55 tff(23022,plain,
% 4.34/4.55 (~r(z, s(s(s(s(elem!1)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[1686, 23021, 162])).
% 4.34/4.55 tff(23023,plain,
% 4.34/4.55 (b(z, s(s(s(s(elem!1)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[1698, 23022])).
% 4.34/4.55 tff(23024,plain,
% 4.34/4.55 (b(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[23023, 22897])).
% 4.34/4.55 tff(23025,plain,
% 4.34/4.55 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[2856, 22906, 703])).
% 4.34/4.55 tff(23026,plain,
% 4.34/4.55 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[8101, 23021, 264])).
% 4.34/4.55 tff(23027,plain,
% 4.34/4.55 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[7416, 23026, 703])).
% 4.34/4.55 tff(23028,plain,
% 4.34/4.55 (b(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[1585, 23027])).
% 4.34/4.55 tff(23029,plain,
% 4.34/4.55 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[7408, 23028, 22899, 315, 703, 23025])).
% 4.34/4.55 tff(23030,plain,
% 4.34/4.55 ($false),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[23029, 23024])).
% 4.34/4.55 tff(23031,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~(z = elem!1)) | (~b(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(s(elem!1)) = elem!1) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(elem!1)) | b(z, s(s(elem!1))) | b(z, elem!1) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(23032,plain,
% 4.34/4.55 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[23031, 6386, 22896, 264, 22894, 6387, 703, 207, 12249, 22892, 140, 177, 22891, 1474, 1269])).
% 4.34/4.55 tff(23033,plain,
% 4.34/4.55 (b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[1515, 23032, 5948])).
% 4.34/4.55 tff(23034,plain,
% 4.34/4.55 (~b(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[12286, 23033, 1595, 6387, 12212, 229, 264, 6386])).
% 4.34/4.55 tff(23035,plain,
% 4.34/4.55 (r(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[1971, 23034, 5949])).
% 4.34/4.55 tff(23036,plain,
% 4.34/4.55 (r(s(s(s(elem!1))), s(z))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[7807, 23035, 703])).
% 4.34/4.55 tff(23037,plain,
% 4.34/4.55 (~r(s(z), z)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[2599, 23036, 22889])).
% 4.34/4.55 tff(23038,plain,
% 4.34/4.55 (b(s(z), z)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[26, 23037])).
% 4.34/4.55 tff(23039,plain,
% 4.34/4.55 (b(z, s(z))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[22896, 7464])).
% 4.34/4.55 tff(23040,plain,
% 4.34/4.55 (~r(s(s(s(s(z)))), z)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[7393, 6386, 6387, 5950, 703, 12249, 1269, 162])).
% 4.34/4.55 tff(23041,plain,
% 4.34/4.55 (b(s(s(s(s(z)))), z)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[127, 23040])).
% 4.34/4.55 tff(23042,plain,
% 4.34/4.55 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[2808, 2806])).
% 4.34/4.55 tff(23043,plain,
% 4.34/4.55 (r(s(s(s(elem!1))), s(elem!1)) <=> r(s(s(s(z))), s(z))),
% 4.34/4.55 inference(symmetry,[status(thm)],[23042])).
% 4.34/4.55 tff(23044,plain,
% 4.34/4.55 (r(s(s(s(z))), s(z))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[23035, 23043])).
% 4.34/4.55 tff(23045,plain,
% 4.34/4.55 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[7735, 23044, 23041, 23039, 23038])).
% 4.34/4.55 tff(23046,plain,
% 4.34/4.55 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[689, 23045])).
% 4.34/4.55 tff(23047,plain,
% 4.34/4.55 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[23046, 4464])).
% 4.34/4.55 tff(23048,plain,
% 4.34/4.55 (b(s(z), elem!1)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[3104, 23038, 4476])).
% 4.34/4.55 tff(23049,plain,
% 4.34/4.55 (b(s(elem!1), elem!1)),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[23048, 7781])).
% 4.34/4.55 tff(23050,plain,
% 4.34/4.55 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[2856, 23041, 703])).
% 4.34/4.55 tff(23051,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(23052,plain,
% 4.34/4.55 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(23053,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[23052])).
% 4.34/4.55 tff(23054,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.34/4.55 inference(transitivity,[status(thm)],[23053, 23051])).
% 4.34/4.55 tff(23055,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(elem!1))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(23056,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[23055, 23054])).
% 4.34/4.55 tff(23057,plain,
% 4.34/4.55 (~b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[23056, 338, 22894, 23033, 22896, 23049, 23050])).
% 4.34/4.55 tff(23058,plain,
% 4.34/4.55 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17655, 23057, 22892])).
% 4.34/4.55 tff(23059,plain,
% 4.34/4.55 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[8101, 23058, 264])).
% 4.34/4.56 tff(23060,plain,
% 4.34/4.56 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1651, 23059, 5950])).
% 4.34/4.56 tff(23061,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(23062,plain,
% 4.34/4.56 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(23063,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), elem!1))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23062])).
% 4.34/4.56 tff(23064,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23063, 23061])).
% 4.34/4.56 tff(23065,plain,
% 4.34/4.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)))),
% 4.34/4.56 inference(quant_inst,[status(thm)],[])).
% 4.34/4.56 tff(23066,plain,
% 4.34/4.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), elem!1))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[23065, 23064])).
% 4.34/4.56 tff(23067,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23066, 338, 22894, 6387, 23033, 23060, 23049, 23047])).
% 4.34/4.56 tff(23068,plain,((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~(z = elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (s(s(elem!1)) = s(elem!1)) | (s(s(elem!1)) = elem!1) | b(z, s(s(elem!1))) | b(z, elem!1) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23069,plain,
% 4.34/4.56 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23068, 22883, 6387, 264, 1595, 22546, 12830, 140, 177, 22888])).
% 4.34/4.56 tff(23070,plain,
% 4.34/4.56 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2619, 23069, 22551])).
% 4.34/4.56 tff(23071,plain,
% 4.34/4.56 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2629, 23070, 264])).
% 4.34/4.56 tff(23072,plain,
% 4.34/4.56 (b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1515, 23071, 12831])).
% 4.34/4.56 tff(23073,plain,
% 4.34/4.56 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[22883])).
% 4.34/4.56 tff(23074,plain,
% 4.34/4.56 (b(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1595, 23073])).
% 4.34/4.56 tff(23075,plain,
% 4.34/4.56 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[6302, 23070, 264])).
% 4.34/4.56 tff(23076,plain,
% 4.34/4.56 (b(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1971, 23075, 12902])).
% 4.34/4.56 tff(23077,plain,
% 4.34/4.56 (~b(s(elem!1), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[20156, 338, 23076, 23074, 23072, 22886])).
% 4.34/4.56 tff(23078,plain,
% 4.34/4.56 (r(s(elem!1), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[312, 23077, 22882])).
% 4.34/4.56 tff(23079,plain,
% 4.34/4.56 (r(s(elem!1), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2759, 23078, 22884])).
% 4.34/4.56 tff(23080,plain,
% 4.34/4.56 (b(s(elem!1), s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2779, 23079, 162, 177, 23078])).
% 4.34/4.56 tff(23081,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(23082,plain,
% 4.34/4.56 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(23083,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23082])).
% 4.34/4.56 tff(23084,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23083, 23081])).
% 4.34/4.56 tff(23085,plain,
% 4.34/4.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))),
% 4.34/4.56 inference(quant_inst,[status(thm)],[])).
% 4.34/4.56 tff(23086,plain,
% 4.34/4.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[23085, 23084])).
% 4.34/4.56 tff(23087,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23086, 338, 23076, 23074, 6387, 23072, 22886, 23080])).
% 4.34/4.56 tff(23088,plain,(b(z, elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(s(elem!1))))) | b(z, s(s(elem!1))) | b(s(s(s(elem!1))), elem!1) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23089,plain,
% 4.34/4.56 (b(z, elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23088, 22881, 264, 22549, 140, 7053, 1729])).
% 4.34/4.56 tff(23090,plain,
% 4.34/4.56 (b(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[13019, 23089, 22549, 162, 264, 22881, 22546, 7053])).
% 4.34/4.56 tff(23091,plain,
% 4.34/4.56 (~(elem!1 = s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[8982, 7053, 22549])).
% 4.34/4.56 tff(23092,plain,
% 4.34/4.56 (~(elem!1 = z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1036, 23089])).
% 4.34/4.56 tff(23093,plain,
% 4.34/4.56 (r(s(s(elem!1)), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[13992, 23089, 264, 22881, 23090, 22552, 162, 22551, 22549, 23091])).
% 4.34/4.56 tff(23094,plain,
% 4.34/4.56 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[22835, 254, 719, 2614, 1788, 6387, 1929, 137, 165, 1729, 1269, 246, 264])).
% 4.34/4.56 tff(23095,plain,
% 4.34/4.56 (r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1515, 23094, 210])).
% 4.34/4.56 tff(23096,plain,
% 4.34/4.56 (~r(s(elem!1), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1510, 23095, 1269])).
% 4.34/4.56 tff(23097,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[312, 23096, 22826, 10111])).
% 4.34/4.56 tff(23098,plain,((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = z) | (elem!1 = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | r(z, elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (elem!1 = s(elem!1)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23099,plain,
% 4.34/4.56 (~r(s(s(s(elem!1))), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23098, 23093, 22549, 23092, 23091, 162, 1729, 23090, 22552, 22551, 22550, 264])).
% 4.34/4.56 tff(23100,plain,
% 4.34/4.56 (s(s(s(elem!1))) = elem!1),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2162, 23099, 7053])).
% 4.34/4.56 tff(23101,plain,
% 4.34/4.56 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, elem!1)),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23100])).
% 4.34/4.56 tff(23102,plain,
% 4.34/4.56 (b(elem!1, elem!1) <=> b(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(symmetry,[status(thm)],[23101])).
% 4.34/4.56 tff(23103,plain,
% 4.34/4.56 ((~b(elem!1, elem!1)) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23102])).
% 4.34/4.56 tff(23104,plain,
% 4.34/4.56 (~b(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[7551, 23103])).
% 4.34/4.56 tff(23105,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23090, 23104])).
% 4.34/4.56 tff(23106,plain,(b(s(s(s(elem!1))), elem!1) | r(z, elem!1) | (~r(s(s(elem!1)), s(elem!1))) | b(z, s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23107,plain,
% 4.34/4.56 (b(s(s(s(elem!1))), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23106, 1729, 22547, 140, 7050])).
% 4.34/4.56 tff(23108,plain,
% 4.34/4.56 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[22883])).
% 4.34/4.56 tff(23109,plain,
% 4.34/4.56 (r(elem!1, s(s(elem!1)))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[162, 23108])).
% 4.34/4.56 tff(23110,plain,
% 4.34/4.56 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 4.34/4.56 inference(monotonicity,[status(thm)],[22883])).
% 4.34/4.56 tff(23111,plain,
% 4.34/4.56 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23110, 2831])).
% 4.34/4.56 tff(23112,plain,
% 4.34/4.56 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23111])).
% 4.34/4.56 tff(23113,plain,
% 4.34/4.56 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1633, 23112])).
% 4.34/4.56 tff(23114,plain,
% 4.34/4.56 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[6043, 23113])).
% 4.34/4.56 tff(23115,plain,
% 4.34/4.56 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[6051, 23114])).
% 4.34/4.56 tff(23116,plain,
% 4.34/4.56 ((s(s(s(elem!1))) = z) <=> (s(s(s(elem!1))) = elem!1)),
% 4.34/4.56 inference(monotonicity,[status(thm)],[22883])).
% 4.34/4.56 tff(23117,plain,
% 4.34/4.56 ((s(s(s(elem!1))) = z) <=> (elem!1 = s(s(s(elem!1))))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23116, 3376])).
% 4.34/4.56 tff(23118,plain,
% 4.34/4.56 ((~(s(s(s(elem!1))) = z)) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23117])).
% 4.34/4.56 tff(23119,plain,
% 4.34/4.56 (~(elem!1 = s(s(s(elem!1))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1367, 23118])).
% 4.34/4.56 tff(23120,plain,
% 4.34/4.56 ((s(s(elem!1)) = z) <=> (s(s(elem!1)) = elem!1)),
% 4.34/4.56 inference(monotonicity,[status(thm)],[703])).
% 4.34/4.56 tff(23121,plain,
% 4.34/4.56 ((~(s(s(elem!1)) = z)) <=> (~(s(s(elem!1)) = elem!1))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23120])).
% 4.34/4.56 tff(23122,plain,
% 4.34/4.56 (~(s(s(elem!1)) = elem!1)),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[155, 23121])).
% 4.34/4.56 tff(23123,plain,
% 4.34/4.56 (r(s(s(elem!1)), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[327, 3306, 23122])).
% 4.34/4.56 tff(23124,plain,
% 4.34/4.56 (~r(s(elem!1), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[5958, 5942, 264])).
% 4.34/4.56 tff(23125,plain,
% 4.34/4.56 (~r(s(elem!1), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2759, 23124, 4476])).
% 4.34/4.56 tff(23126,plain,
% 4.34/4.56 (b(s(elem!1), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[312, 23125, 306])).
% 4.34/4.56 tff(23127,plain,
% 4.34/4.56 (b(s(s(s(z))), z) <=> b(s(s(s(z))), elem!1)),
% 4.34/4.56 inference(monotonicity,[status(thm)],[703])).
% 4.34/4.56 tff(23128,plain,
% 4.34/4.56 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), z)),
% 4.34/4.56 inference(symmetry,[status(thm)],[23127])).
% 4.34/4.56 tff(23129,plain,
% 4.34/4.56 (b(s(s(s(elem!1))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[10102, 4476, 2636])).
% 4.34/4.56 tff(23130,plain,
% 4.34/4.56 (b(s(s(s(z))), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[4508, 23129, 703])).
% 4.34/4.56 tff(23131,plain,
% 4.34/4.56 (b(s(s(s(z))), z)),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[23130, 23128])).
% 4.34/4.56 tff(23132,plain,
% 4.34/4.56 (r(s(s(elem!1)), s(z)) <=> r(s(s(elem!1)), s(elem!1))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[2806])).
% 4.34/4.56 tff(23133,plain,
% 4.34/4.56 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(z))),
% 4.34/4.56 inference(symmetry,[status(thm)],[23132])).
% 4.34/4.56 tff(23134,plain,
% 4.34/4.56 (r(s(s(elem!1)), s(z))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[264, 23133])).
% 4.34/4.56 tff(23135,plain,
% 4.34/4.56 (~r(s(z), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[792, 5942, 23134])).
% 4.34/4.56 tff(23136,plain,
% 4.34/4.56 (b(s(z), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[26, 23135])).
% 4.34/4.56 tff(23137,plain,
% 4.34/4.56 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7217, 1353, 787])).
% 4.34/4.56 tff(23138,plain,
% 4.34/4.56 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2619, 23137, 2614])).
% 4.34/4.56 tff(23139,plain,
% 4.34/4.56 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[22926, 23138, 6387, 279, 254, 314, 315, 703, 459])).
% 4.34/4.56 tff(23140,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17558, 23139, 17537])).
% 4.34/4.56 tff(23141,plain,
% 4.34/4.56 (r(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[6626, 1353, 4476])).
% 4.34/4.56 tff(23142,plain,
% 4.34/4.56 (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[8177, 23140, 23141, 315, 6168, 5930, 314])).
% 4.34/4.56 tff(23143,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17602, 23142, 17526])).
% 4.34/4.56 tff(23144,plain,
% 4.34/4.56 (b(s(z), s(s(s(z)))) <=> b(s(elem!1), s(s(s(z))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[2806])).
% 4.34/4.56 tff(23145,plain,
% 4.34/4.56 (b(s(elem!1), s(s(s(z)))) <=> b(s(z), s(s(s(z))))),
% 4.34/4.56 inference(symmetry,[status(thm)],[23144])).
% 4.34/4.56 tff(23146,plain,
% 4.34/4.56 (b(s(elem!1), s(s(s(z)))) <=> b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[2808])).
% 4.34/4.56 tff(23147,plain,
% 4.34/4.56 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(elem!1), s(s(s(z))))),
% 4.34/4.56 inference(symmetry,[status(thm)],[23146])).
% 4.34/4.56 tff(23148,plain,
% 4.34/4.56 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(z), s(s(s(z))))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23147, 23145])).
% 4.34/4.56 tff(23149,plain,
% 4.34/4.56 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(elem!1))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[2806])).
% 4.34/4.56 tff(23150,plain,
% 4.34/4.56 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(elem!1))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23149, 211])).
% 4.34/4.56 tff(23151,plain,
% 4.34/4.56 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(elem!1))))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23150, 212])).
% 4.34/4.56 tff(23152,plain,
% 4.34/4.56 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(elem!1)))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23151])).
% 4.34/4.56 tff(23153,plain,
% 4.34/4.56 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1263, 23152])).
% 4.34/4.56 tff(23154,plain,
% 4.34/4.56 (r(z, s(s(s(z))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[23141, 7349])).
% 4.34/4.56 tff(23155,plain,
% 4.34/4.56 (~r(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[9164, 164, 4476, 4385, 6387, 254, 6386])).
% 4.34/4.56 tff(23156,plain,
% 4.34/4.56 (b(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[127, 23155])).
% 4.34/4.56 tff(23157,plain,
% 4.34/4.56 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2856, 23156, 703])).
% 4.34/4.56 tff(23158,plain,
% 4.34/4.56 (r(s(s(z)), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[9155, 254, 703])).
% 4.34/4.56 tff(23159,plain,
% 4.34/4.56 (~b(s(elem!1), s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23001, 1502, 6044, 279, 254, 6168, 314, 315, 17534, 17526, 5994])).
% 4.34/4.56 tff(23160,plain,
% 4.34/4.56 (r(s(elem!1), s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[3081, 23159, 1788])).
% 4.34/4.56 tff(23161,plain,
% 4.34/4.56 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[9294, 23160, 703, 315, 314, 23158])).
% 4.34/4.56 tff(23162,plain,
% 4.34/4.56 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1651, 23161, 4385])).
% 4.34/4.56 tff(23163,plain,
% 4.34/4.56 (~r(z, s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7362, 23162, 6387, 703, 6386, 164])).
% 4.34/4.56 tff(23164,plain,
% 4.34/4.56 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[3004, 23163, 4476])).
% 4.34/4.56 tff(23165,plain,
% 4.34/4.56 (b(elem!1, s(s(s(s(elem!1)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2297, 23164, 2835])).
% 4.34/4.56 tff(23166,plain,
% 4.34/4.56 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(s(s(elem!1)) = s(s(s(s(elem!1))))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[4377])).
% 4.34/4.56 tff(23167,plain,
% 4.34/4.56 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[4384, 23166])).
% 4.34/4.56 tff(23168,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7542, 23162, 314, 315, 703, 6387, 164, 6386, 23167, 23156, 1740, 7465, 23160])).
% 4.34/4.56 tff(23169,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[119, 23168])).
% 4.34/4.56 tff(23170,plain,
% 4.34/4.56 (~r(s(z), s(s(s(s(elem!1)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7454, 23169, 6387, 22910, 703, 6386, 23162])).
% 4.34/4.56 tff(23171,plain,
% 4.34/4.56 (b(s(z), s(s(s(s(elem!1)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2239, 23170])).
% 4.34/4.56 tff(23172,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7429, 23171, 23165, 314, 315, 703, 23157])).
% 4.34/4.56 tff(23173,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~(z = elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | (s(elem!1) = s(s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23174,plain,
% 4.34/4.56 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23173, 23138, 315, 703, 6387, 314, 23154, 1740, 1788, 279, 254, 23140])).
% 4.34/4.56 tff(23175,plain,
% 4.34/4.56 (b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1515, 23174, 23153])).
% 4.34/4.56 tff(23176,plain,
% 4.34/4.56 (b(s(z), s(s(s(z))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[23175, 23148])).
% 4.34/4.56 tff(23177,plain,
% 4.34/4.56 (~b(s(s(s(z))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1749, 23176, 7465, 1741, 1740])).
% 4.34/4.56 tff(23178,plain,
% 4.34/4.56 (r(s(s(s(z))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[437, 23177])).
% 4.34/4.56 tff(23179,plain,
% 4.34/4.56 (r(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[23178, 23042])).
% 4.34/4.56 tff(23180,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[8155, 82, 23179, 23143, 23140])).
% 4.34/4.56 tff(23181,plain,((~r(z, s(s(s(elem!1))))) | (~(z = elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (s(elem!1) = s(s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(z)), s(z))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23182,plain,
% 4.34/4.56 (~r(z, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23181, 23136, 23131, 703, 315, 6387, 23126, 1788, 5712, 23123, 22907, 2614, 5942])).
% 4.34/4.56 tff(23183,plain,
% 4.34/4.56 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = s(elem!1)))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23150])).
% 4.34/4.56 tff(23184,plain,
% 4.34/4.56 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1263, 23183])).
% 4.34/4.56 tff(23185,plain,
% 4.34/4.56 (b(s(elem!1), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1812, 23124])).
% 4.34/4.56 tff(23186,plain,
% 4.34/4.56 (b(z, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1373, 23182])).
% 4.34/4.56 tff(23187,plain,
% 4.34/4.56 (~b(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1804, 23186, 23129, 23185, 12212])).
% 4.34/4.56 tff(23188,plain,
% 4.34/4.56 (r(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1971, 23187, 23184])).
% 4.34/4.56 tff(23189,plain,
% 4.34/4.56 (r(s(s(s(elem!1))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7807, 23188, 703])).
% 4.34/4.56 tff(23190,plain,
% 4.34/4.56 (b(s(z), s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[13842, 23189, 140, 7552, 177, 23182])).
% 4.34/4.56 tff(23191,plain,
% 4.34/4.56 (b(s(elem!1), s(s(elem!1)))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[23190, 22909])).
% 4.34/4.56 tff(23192,plain,
% 4.34/4.56 ((s(s(s(elem!1))) = z) <=> (s(s(s(elem!1))) = elem!1)),
% 4.34/4.56 inference(monotonicity,[status(thm)],[703])).
% 4.34/4.56 tff(23193,plain,
% 4.34/4.56 ((s(s(s(elem!1))) = z) <=> (elem!1 = s(s(s(elem!1))))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23192, 3376])).
% 4.34/4.56 tff(23194,plain,
% 4.34/4.56 ((~(s(s(s(elem!1))) = z)) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23193])).
% 4.34/4.56 tff(23195,plain,
% 4.34/4.56 (~(elem!1 = s(s(s(elem!1))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1367, 23194])).
% 4.34/4.56 tff(23196,plain,
% 4.34/4.56 (~r(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2802, 23182, 4476])).
% 4.34/4.56 tff(23197,plain,
% 4.34/4.56 (b(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1946, 23196, 23195])).
% 4.34/4.56 tff(23198,plain,
% 4.34/4.56 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[13508, 23197, 2636, 315, 23126])).
% 4.34/4.56 tff(23199,plain,
% 4.34/4.56 (r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1515, 23198, 23153])).
% 4.34/4.56 tff(23200,plain,
% 4.34/4.56 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[6302, 23188, 264])).
% 4.34/4.56 tff(23201,plain,
% 4.34/4.56 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2619, 23200, 2614])).
% 4.34/4.56 tff(23202,plain,
% 4.34/4.56 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[22926, 23201, 6387, 5712, 23123, 23126, 315, 703, 22907])).
% 4.34/4.56 tff(23203,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17558, 23202, 17537])).
% 4.34/4.56 tff(23204,plain,
% 4.34/4.56 (~b(s(elem!1), s(s(elem!1)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23001, 23203, 6044, 5712, 23123, 6168, 23126, 315, 17534, 17526, 23199])).
% 4.34/4.56 tff(23205,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23204, 23191])).
% 4.34/4.56 tff(23206,plain,(b(s(s(elem!1)), elem!1) | (~(z = elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(z, s(s(elem!1))) | b(z, elem!1) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(elem!1))) | (s(elem!1) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23207,plain,
% 4.34/4.56 (b(s(s(elem!1)), elem!1)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23206, 22883, 22886, 6387, 140, 177, 22551, 264, 2636, 22550, 22882])).
% 4.34/4.56 tff(23208,plain,
% 4.34/4.56 (s(z) = s(elem!1)),
% 4.34/4.56 inference(monotonicity,[status(thm)],[22883])).
% 4.34/4.56 tff(23209,plain,
% 4.34/4.56 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(elem!1))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23208])).
% 4.34/4.56 tff(23210,plain,
% 4.34/4.56 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = s(elem!1))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23209, 211])).
% 4.34/4.56 tff(23211,plain,
% 4.34/4.56 ((s(z) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(elem!1))))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23210, 212])).
% 4.34/4.56 tff(23212,plain,
% 4.34/4.56 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(elem!1)))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23211])).
% 4.34/4.56 tff(23213,plain,
% 4.34/4.56 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1263, 23212])).
% 4.34/4.56 tff(23214,plain,
% 4.34/4.56 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = s(elem!1)))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23210])).
% 4.34/4.56 tff(23215,plain,
% 4.34/4.56 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1263, 23214])).
% 4.34/4.56 tff(23216,plain,
% 4.34/4.56 (b(s(s(s(elem!1))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[10102, 22884, 2636])).
% 4.34/4.56 tff(23217,plain,
% 4.34/4.56 (~r(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7644, 2257, 279])).
% 4.34/4.56 tff(23218,plain,
% 4.34/4.56 (~r(z, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[6626, 23217, 712])).
% 4.34/4.56 tff(23219,plain,
% 4.34/4.56 (b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1515, 12013, 215])).
% 4.34/4.56 tff(23220,plain,
% 4.34/4.56 (b(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1971, 12015, 222])).
% 4.34/4.56 tff(23221,plain,
% 4.34/4.56 (~b(z, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1605, 23220, 1597, 23219, 1596])).
% 4.34/4.56 tff(23222,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1373, 23221, 23218])).
% 4.34/4.56 tff(23223,plain,((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), z)) | (~(elem!1 = z)) | (s(s(s(elem!1))) = s(elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23224,plain,
% 4.34/4.56 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23223, 23216, 12212, 22884, 23215, 23213, 23109, 264])).
% 4.34/4.56 tff(23225,plain,
% 4.34/4.56 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[2619, 23224, 22551])).
% 4.34/4.56 tff(23226,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[13235, 338, 763, 1929, 2636, 6387, 6386])).
% 4.34/4.56 tff(23227,plain,((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(23228,plain,
% 4.34/4.56 (~b(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[23227, 23225, 6387, 2636, 23207])).
% 4.34/4.56 tff(23229,plain,
% 4.34/4.56 (r(elem!1, s(s(s(elem!1))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1946, 23228, 23119])).
% 4.34/4.56 tff(23230,plain,
% 4.34/4.56 (b(z, s(z)) <=> b(elem!1, s(z))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[22883])).
% 4.34/4.56 tff(23231,plain,
% 4.34/4.56 (b(elem!1, s(z)) <=> b(z, s(z))),
% 4.34/4.56 inference(symmetry,[status(thm)],[23230])).
% 4.34/4.56 tff(23232,plain,
% 4.34/4.56 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23208])).
% 4.34/4.56 tff(23233,plain,
% 4.34/4.56 (b(elem!1, s(elem!1)) <=> b(elem!1, s(z))),
% 4.34/4.56 inference(symmetry,[status(thm)],[23232])).
% 4.34/4.56 tff(23234,plain,
% 4.34/4.56 (b(elem!1, s(elem!1)) <=> b(z, s(z))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23233, 23231])).
% 4.34/4.56 tff(23235,plain,
% 4.34/4.56 (b(z, s(z))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[22886, 23234])).
% 4.34/4.56 tff(23236,plain,
% 4.34/4.56 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23042, 7804])).
% 4.34/4.56 tff(23237,plain,
% 4.34/4.56 (b(s(z), s(s(s(z))))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[1564, 23148])).
% 4.34/4.56 tff(23238,plain,
% 4.34/4.56 (b(s(elem!1), elem!1) <=> b(s(z), elem!1)),
% 4.34/4.56 inference(symmetry,[status(thm)],[7781])).
% 4.34/4.56 tff(23239,plain,
% 4.34/4.56 (b(s(elem!1), elem!1) <=> b(s(z), z)),
% 4.34/4.56 inference(transitivity,[status(thm)],[23238, 705])).
% 4.34/4.56 tff(23240,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(23241,plain,
% 4.34/4.56 (((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(23242,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[23241])).
% 4.34/4.56 tff(23243,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.34/4.56 inference(transitivity,[status(thm)],[23242, 23240])).
% 4.34/4.57 tff(23244,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.34/4.57 inference(quant_inst,[status(thm)],[])).
% 4.34/4.57 tff(23245,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23244, 23243])).
% 4.34/4.57 tff(23246,plain,
% 4.34/4.57 (~b(s(elem!1), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23245, 338, 763, 2636, 6387, 1564, 6386])).
% 4.34/4.57 tff(23247,plain,
% 4.34/4.57 (r(s(elem!1), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[3081, 23246, 1788])).
% 4.34/4.57 tff(23248,plain,
% 4.34/4.57 (~r(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[3077, 23247, 2837])).
% 4.34/4.57 tff(23249,plain,
% 4.34/4.57 (b(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[312, 23248, 306])).
% 4.34/4.57 tff(23250,plain,
% 4.34/4.57 (b(s(z), z)),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23249, 23239])).
% 4.34/4.57 tff(23251,plain,
% 4.34/4.57 (~b(s(s(s(z))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1749, 23250, 486, 23131, 23237])).
% 4.34/4.57 tff(23252,plain,
% 4.34/4.57 (r(s(s(s(z))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[437, 23251])).
% 4.34/4.57 tff(23253,plain,
% 4.34/4.57 (r(s(s(s(elem!1))), s(z))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23252, 23236])).
% 4.34/4.57 tff(23254,plain,
% 4.34/4.57 (~b(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23227, 6386, 6387, 2636, 763])).
% 4.34/4.57 tff(23255,plain,
% 4.34/4.57 (r(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1946, 23254, 23195])).
% 4.34/4.57 tff(23256,plain,
% 4.34/4.57 (r(z, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2802, 23255, 4476])).
% 4.34/4.57 tff(23257,plain,
% 4.34/4.57 ((s(s(elem!1)) = z) <=> (elem!1 = s(s(elem!1)))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23120, 192])).
% 4.34/4.57 tff(23258,plain,
% 4.34/4.57 ((~(s(s(elem!1)) = z)) <=> (~(elem!1 = s(s(elem!1))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23257])).
% 4.34/4.57 tff(23259,plain,
% 4.34/4.57 (~(elem!1 = s(s(elem!1)))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[155, 23258])).
% 4.34/4.57 tff(23260,plain,
% 4.34/4.57 (b(s(elem!1), s(s(elem!1))) <=> b(s(z), s(s(elem!1)))),
% 4.34/4.57 inference(symmetry,[status(thm)],[22909])).
% 4.34/4.57 tff(23261,plain,
% 4.34/4.57 ((~b(s(elem!1), s(s(elem!1)))) <=> (~b(s(z), s(s(elem!1))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23260])).
% 4.34/4.57 tff(23262,plain,
% 4.34/4.57 (~b(s(z), s(s(elem!1)))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23246, 23261])).
% 4.34/4.57 tff(23263,plain,
% 4.34/4.57 (r(s(z), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[743, 23262])).
% 4.34/4.57 tff(23264,plain,
% 4.34/4.57 (~r(s(s(s(elem!1))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7801, 23263, 165, 23259, 23256, 7552, 177])).
% 4.34/4.57 tff(23265,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23264, 23253])).
% 4.34/4.57 tff(23266,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~(z = elem!1)) | (~r(z, s(s(elem!1)))) | b(z, elem!1) | (~b(z, s(z))) | (s(elem!1) = elem!1) | (s(elem!1) = s(s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23267,plain,
% 4.34/4.57 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23266, 22883, 162, 177, 23235, 22882, 22550, 23207, 2636, 6387, 23225])).
% 4.34/4.57 tff(23268,plain,
% 4.34/4.57 (r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1515, 23267, 23213])).
% 4.34/4.57 tff(23269,plain,
% 4.34/4.57 (~r(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2028, 23268, 23229])).
% 4.34/4.57 tff(23270,plain,
% 4.34/4.57 (b(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[312, 23269, 22882])).
% 4.34/4.57 tff(23271,plain,
% 4.34/4.57 (r(s(z), s(s(s(z))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4520, 23268, 22884])).
% 4.34/4.57 tff(23272,plain,
% 4.34/4.57 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[9542, 23271, 23229, 22886, 23270, 22884])).
% 4.34/4.57 tff(23273,plain,
% 4.34/4.57 ((s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.34/4.57 inference(symmetry,[status(thm)],[6164])).
% 4.34/4.57 tff(23274,plain,
% 4.34/4.57 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[6162, 23273])).
% 4.34/4.57 tff(23275,plain,
% 4.34/4.57 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[13378, 23274])).
% 4.34/4.57 tff(23276,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17537, 23275])).
% 4.34/4.57 tff(23277,plain,((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23278,plain,
% 4.34/4.57 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23277, 22883])).
% 4.34/4.57 tff(23279,plain,
% 4.34/4.57 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7998, 23278, 23272])).
% 4.34/4.57 tff(23280,plain,
% 4.34/4.57 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7993, 23279, 22883])).
% 4.34/4.57 tff(23281,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(23282,plain,
% 4.34/4.57 (((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(23283,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23282])).
% 4.34/4.57 tff(23284,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23283, 23281])).
% 4.34/4.57 tff(23285,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 4.34/4.57 inference(quant_inst,[status(thm)],[])).
% 4.34/4.57 tff(23286,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 4.34/4.57 tff(23287,plain,
% 4.34/4.57 (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23286, 338, 23207, 2636, 6387, 23225, 23280])).
% 4.34/4.57 tff(23288,plain,
% 4.34/4.57 (r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6063, 23287, 23115])).
% 4.34/4.57 tff(23289,plain,
% 4.34/4.57 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.34/4.57 inference(monotonicity,[status(thm)],[22883])).
% 4.34/4.57 tff(23290,plain,
% 4.34/4.57 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23289, 5922])).
% 4.34/4.57 tff(23291,plain,
% 4.34/4.57 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23290])).
% 4.34/4.57 tff(23292,plain,
% 4.34/4.57 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[5929, 23291])).
% 4.34/4.57 tff(23293,plain,
% 4.34/4.57 (s(s(z)) = s(s(elem!1))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23208])).
% 4.34/4.57 tff(23294,plain,
% 4.34/4.57 (r(s(s(z)), s(z)) <=> r(s(s(elem!1)), s(elem!1))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23293, 23208])).
% 4.34/4.57 tff(23295,plain,
% 4.34/4.57 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(z)), s(z))),
% 4.34/4.57 inference(symmetry,[status(thm)],[23294])).
% 4.34/4.57 tff(23296,plain,
% 4.34/4.57 (r(s(s(z)), s(z))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[264, 23295])).
% 4.34/4.57 tff(23297,plain,
% 4.34/4.57 (~r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[9440, 23280, 22884, 6387, 23225, 23296])).
% 4.34/4.57 tff(23298,plain,
% 4.34/4.57 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17798, 23297])).
% 4.34/4.57 tff(23299,plain,
% 4.34/4.57 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6111, 23298, 22883])).
% 4.34/4.57 tff(23300,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(23301,plain,
% 4.34/4.57 (((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(23302,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23301])).
% 4.34/4.57 tff(23303,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23302, 23300])).
% 4.34/4.57 tff(23304,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.34/4.57 inference(quant_inst,[status(thm)],[])).
% 4.34/4.57 tff(23305,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 4.34/4.57 tff(23306,plain,
% 4.34/4.57 (~b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23305, 338, 23207, 2636, 6387, 22886, 23299])).
% 4.34/4.57 tff(23307,plain,
% 4.34/4.57 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6185, 23306, 23292])).
% 4.34/4.57 tff(23308,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6180, 23307, 23288, 23109])).
% 4.34/4.57 tff(23309,plain,(b(z, elem!1) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | b(z, s(s(elem!1))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23310,plain,
% 4.34/4.57 (b(z, elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23309, 23107, 22549, 22547, 140, 1729])).
% 4.34/4.57 tff(23311,plain,
% 4.34/4.57 (~(s(s(elem!1)) = elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1897, 23310, 140])).
% 4.34/4.57 tff(23312,plain,
% 4.34/4.57 (~(elem!1 = s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2015, 23311])).
% 4.34/4.57 tff(23313,plain,
% 4.34/4.57 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[209, 23311])).
% 4.34/4.57 tff(23314,plain,
% 4.34/4.57 (~r(elem!1, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7117, 5935, 264])).
% 4.34/4.57 tff(23315,plain,
% 4.34/4.57 (b(elem!1, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[252, 23314, 246])).
% 4.34/4.57 tff(23316,plain,
% 4.34/4.57 (~r(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6487, 2257, 254])).
% 4.34/4.57 tff(23317,plain,
% 4.34/4.57 (b(s(s(s(elem!1))), s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1971, 12015, 1962])).
% 4.34/4.57 tff(23318,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[5903, 338, 1500, 1929, 2636, 1564, 315])).
% 4.34/4.57 tff(23319,plain,((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23320,plain,
% 4.34/4.57 (~b(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23319, 23317, 2636, 23219, 22823])).
% 4.34/4.57 tff(23321,plain,
% 4.34/4.57 (elem!1 = s(s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1946, 23320, 23316])).
% 4.34/4.57 tff(23322,plain,
% 4.34/4.57 (~b(z, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[12049, 23320, 1021, 165, 137, 246, 264, 6387, 1788, 2257])).
% 4.34/4.57 tff(23323,plain,
% 4.34/4.57 (~(s(s(s(elem!1))) = elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2647, 23322, 1021])).
% 4.34/4.57 tff(23324,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1924, 23323, 23321])).
% 4.34/4.57 tff(23325,plain,((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (elem!1 = s(elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23326,plain,
% 4.34/4.57 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23325, 5935, 165, 14151, 246, 264, 6387, 1788, 2636, 5948, 1021])).
% 4.34/4.57 tff(23327,plain,
% 4.34/4.57 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2619, 23326, 2614])).
% 4.34/4.57 tff(23328,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[3306, 9703])).
% 4.34/4.57 tff(23329,plain,((~(elem!1 = s(s(s(elem!1))))) | b(s(s(elem!1)), elem!1) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23330,plain,
% 4.34/4.57 (~(elem!1 = s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23329, 3306, 23327])).
% 4.34/4.57 tff(23331,plain,
% 4.34/4.57 (~r(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[12880, 802, 1597, 254, 315, 1021, 6386])).
% 4.34/4.57 tff(23332,plain,
% 4.34/4.57 (b(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1946, 23331, 1939])).
% 4.34/4.57 tff(23333,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[16475, 23332, 22376, 6387, 2636, 6386])).
% 4.34/4.57 tff(23334,plain,((~r(elem!1, z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (elem!1 = s(s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(z, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23335,plain,
% 4.34/4.57 (~r(elem!1, z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23334, 23327, 2636, 6387, 23330, 14151, 6584, 5935, 23315, 1021, 165])).
% 4.34/4.57 tff(23336,plain,
% 4.34/4.57 (b(elem!1, z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[846, 23335, 1037])).
% 4.34/4.57 tff(23337,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(23338,plain,
% 4.34/4.57 (((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(23339,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1)))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23338])).
% 4.34/4.57 tff(23340,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23339, 23337])).
% 4.34/4.57 tff(23341,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), z)))),
% 4.34/4.57 inference(quant_inst,[status(thm)],[])).
% 4.34/4.57 tff(23342,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1)))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23341, 23340])).
% 4.34/4.57 tff(23343,plain,
% 4.34/4.57 ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23342, 338, 1021, 2636, 6584, 23315])).
% 4.34/4.57 tff(23344,plain,
% 4.34/4.57 (~b(s(s(s(elem!1))), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23343, 23336])).
% 4.34/4.57 tff(23345,plain,
% 4.34/4.57 (r(s(s(s(elem!1))), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1387, 23344])).
% 4.34/4.57 tff(23346,plain,
% 4.34/4.57 (~b(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4722, 23335, 1729, 6584, 1037, 23315])).
% 4.34/4.57 tff(23347,plain,
% 4.34/4.57 (r(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[312, 23346, 10111])).
% 4.34/4.57 tff(23348,plain,
% 4.34/4.57 (~b(z, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[16300, 23336, 6584, 2636, 1021, 23315])).
% 4.34/4.57 tff(23349,plain,
% 4.34/4.57 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[16477, 23348, 2636, 23327, 14151, 6584, 5935, 23315, 1021, 165, 6387])).
% 4.34/4.57 tff(23350,plain,
% 4.34/4.57 (b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1515, 23349, 5948])).
% 4.34/4.57 tff(23351,plain,
% 4.34/4.57 (~b(s(elem!1), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7200, 23336, 6584, 1021, 23315])).
% 4.34/4.57 tff(23352,plain,
% 4.34/4.57 (r(s(elem!1), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1812, 23351])).
% 4.34/4.57 tff(23353,plain,
% 4.34/4.57 (~r(s(elem!1), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1823, 23352, 165])).
% 4.34/4.57 tff(23354,plain,
% 4.34/4.57 (b(s(elem!1), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[3081, 23353, 1788])).
% 4.34/4.57 tff(23355,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[8927, 23354, 23350, 23335, 3306, 23315, 23327, 23347, 23345, 5949, 6387])).
% 4.34/4.57 tff(23356,plain,(b(s(s(elem!1)), elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | r(z, elem!1) | (s(s(elem!1)) = s(s(s(elem!1)))) | (elem!1 = s(elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23357,plain,
% 4.34/4.57 (b(s(s(elem!1)), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23356, 22549, 22550, 162, 23107, 23310, 1729, 22551, 22552, 22547, 23311])).
% 4.34/4.57 tff(23358,plain,
% 4.34/4.57 (~r(s(s(s(elem!1))), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[10139, 762, 6387, 2636, 763, 2614, 1021])).
% 4.34/4.57 tff(23359,plain,
% 4.34/4.57 (b(s(s(s(elem!1))), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1387, 23358])).
% 4.34/4.57 tff(23360,plain,
% 4.34/4.57 (~b(z, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1605, 23359, 1597, 1564, 1500])).
% 4.34/4.57 tff(23361,plain,
% 4.34/4.57 (r(z, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1373, 23360])).
% 4.34/4.57 tff(23362,plain,
% 4.34/4.57 (~r(s(s(elem!1)), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7217, 23361, 2257])).
% 4.34/4.57 tff(23363,plain,
% 4.34/4.57 (b(s(s(elem!1)), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[800, 23362])).
% 4.34/4.57 tff(23364,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[10134, 338, 1021, 763, 2636, 762, 6387, 23363])).
% 4.34/4.57 tff(23365,plain,((~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (s(s(elem!1)) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23366,plain,
% 4.34/4.57 (~b(elem!1, s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23365, 2257, 763, 2636, 6387, 1021, 6584, 23219, 23317, 2614])).
% 4.34/4.57 tff(23367,plain,
% 4.34/4.57 (r(elem!1, s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[321, 23366, 137])).
% 4.34/4.57 tff(23368,plain,
% 4.34/4.57 (~r(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7644, 23367, 2257])).
% 4.34/4.57 tff(23369,plain,
% 4.34/4.57 (~r(elem!1, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2715, 23367, 264])).
% 4.34/4.57 tff(23370,plain,
% 4.34/4.57 (b(elem!1, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[252, 23369, 246])).
% 4.34/4.57 tff(23371,plain,
% 4.34/4.57 (~b(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23319, 23370, 2636, 23219, 23317])).
% 4.34/4.57 tff(23372,plain,
% 4.34/4.57 (~r(elem!1, z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1081, 23367, 165])).
% 4.34/4.57 tff(23373,plain,
% 4.34/4.57 (~b(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6587, 23367, 1729, 264, 1037, 246, 23372, 165])).
% 4.34/4.57 tff(23374,plain,
% 4.34/4.57 (~(s(s(s(elem!1))) = elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2676, 23373, 23219])).
% 4.34/4.57 tff(23375,plain,
% 4.34/4.57 (~(elem!1 = s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1924, 23374])).
% 4.34/4.57 tff(23376,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1946, 23375, 23371, 23368])).
% 4.34/4.57 tff(23377,plain,((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (elem!1 = s(elem!1)) | r(z, elem!1) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, elem!1)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23378,plain,
% 4.34/4.57 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23377, 23107, 22552, 1729, 22547, 162, 23312, 23357, 22549, 23310, 22551, 23313])).
% 4.34/4.57 tff(23379,plain,
% 4.34/4.57 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2619, 23378, 22551])).
% 4.34/4.57 tff(23380,plain,
% 4.34/4.57 (~b(elem!1, s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[10569, 23357, 23107, 22549, 23379])).
% 4.34/4.57 tff(23381,plain,
% 4.34/4.57 (r(elem!1, s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[321, 23380, 23312])).
% 4.34/4.57 tff(23382,plain,
% 4.34/4.57 (~r(elem!1, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2715, 23381, 22547])).
% 4.34/4.57 tff(23383,plain,
% 4.34/4.57 (b(elem!1, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[252, 23382, 22552])).
% 4.34/4.57 tff(23384,plain,
% 4.34/4.57 (~r(z, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[272, 22547, 162])).
% 4.34/4.57 tff(23385,plain,
% 4.34/4.57 (b(z, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1615, 23384])).
% 4.34/4.57 tff(23386,plain,
% 4.34/4.57 (~(elem!1 = z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1036, 23310])).
% 4.34/4.57 tff(23387,plain,
% 4.34/4.57 (~r(elem!1, z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1081, 23381, 162])).
% 4.34/4.57 tff(23388,plain,
% 4.34/4.57 (b(elem!1, z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[846, 23387, 23386])).
% 4.34/4.57 tff(23389,plain,
% 4.34/4.57 (~b(z, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[16300, 23388, 23385, 23107, 23310, 23383])).
% 4.34/4.57 tff(23390,plain,
% 4.34/4.57 (~(s(s(s(elem!1))) = elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2647, 23389, 23310])).
% 4.34/4.57 tff(23391,plain,
% 4.34/4.57 (~b(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23227, 23379, 22549, 23107, 23357])).
% 4.34/4.57 tff(23392,plain,
% 4.34/4.57 (~(s(elem!1) = s(s(elem!1)))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[6656, 7153])).
% 4.34/4.57 tff(23393,plain,
% 4.34/4.57 (b(elem!1, s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[252, 4707, 2036])).
% 4.34/4.57 tff(23394,plain,
% 4.34/4.57 (~b(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4720, 6584, 1131, 23393, 1021])).
% 4.34/4.57 tff(23395,plain,
% 4.34/4.57 (r(s(elem!1), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[312, 23394, 306])).
% 4.34/4.57 tff(23396,plain,
% 4.34/4.57 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2028, 23395, 1950])).
% 4.34/4.57 tff(23397,plain,
% 4.34/4.57 (b(s(elem!1), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1515, 23396, 215])).
% 4.34/4.57 tff(23398,plain,
% 4.34/4.57 (~b(s(elem!1), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[8912, 338, 1131, 6584, 23397, 23393, 6386])).
% 4.34/4.57 tff(23399,plain,
% 4.34/4.57 ((s(elem!1) = s(s(elem!1))) | r(s(elem!1), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1827, 21, 23398])).
% 4.34/4.57 tff(23400,plain,
% 4.34/4.57 (r(s(elem!1), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23399, 23392])).
% 4.34/4.57 tff(23401,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[3075, 82, 23395, 279, 23400])).
% 4.34/4.57 tff(23402,plain,((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (s(elem!1) = elem!1) | (~b(z, elem!1)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23403,plain,
% 4.34/4.57 (~r(elem!1, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23402, 23388, 23310, 162, 23313, 22547, 22882, 23379, 23381])).
% 4.34/4.57 tff(23404,plain,
% 4.34/4.57 (elem!1 = s(s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1946, 23403, 23391])).
% 4.34/4.57 tff(23405,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1924, 23404, 23390])).
% 4.34/4.57 tff(23406,plain,(r(z, elem!1) | b(z, s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23407,plain,
% 4.34/4.57 (r(z, elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23406, 140, 7050, 2605])).
% 4.34/4.57 tff(23408,plain,
% 4.34/4.57 (s(s(s(elem!1))) = s(s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1292, 1270, 7050])).
% 4.34/4.57 tff(23409,plain,
% 4.34/4.57 (s(s(elem!1)) = s(elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1280, 23408])).
% 4.34/4.57 tff(23410,plain,
% 4.34/4.57 (s(s(s(elem!1))) = s(elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[224, 23409])).
% 4.34/4.57 tff(23411,plain,
% 4.34/4.57 (s(elem!1) = s(s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[217, 23410])).
% 4.34/4.57 tff(23412,plain,
% 4.34/4.57 (s(s(elem!1)) = elem!1),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[209, 23411])).
% 4.34/4.57 tff(23413,plain,
% 4.34/4.57 (elem!1 = s(s(elem!1))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[196, 23412])).
% 4.34/4.57 tff(23414,plain,
% 4.34/4.57 (s(s(s(elem!1))) = elem!1),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1287, 23408])).
% 4.34/4.57 tff(23415,plain,
% 4.34/4.57 (elem!1 = s(s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[3379, 23414])).
% 4.34/4.57 tff(23416,plain,
% 4.34/4.57 (~(s(s(s(s(z)))) = elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[5428, 23413, 23415])).
% 4.34/4.57 tff(23417,plain,
% 4.34/4.57 (~b(z, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[2653, 23408, 140])).
% 4.34/4.57 tff(23418,plain,
% 4.34/4.57 (r(z, s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1373, 23417])).
% 4.34/4.57 tff(23419,plain,
% 4.34/4.57 (b(s(z), s(s(s(elem!1)))) <=> b(s(z), s(s(elem!1)))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23408])).
% 4.34/4.57 tff(23420,plain,
% 4.34/4.57 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(elem!1))))),
% 4.34/4.57 inference(symmetry,[status(thm)],[23419])).
% 4.34/4.57 tff(23421,plain,
% 4.34/4.57 (elem!1 = s(s(s(elem!1)))),
% 4.34/4.57 inference(symmetry,[status(thm)],[23414])).
% 4.34/4.57 tff(23422,plain,
% 4.34/4.57 (elem!1 = s(s(elem!1))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23421, 23408])).
% 4.34/4.57 tff(23423,plain,
% 4.34/4.57 (b(s(z), elem!1) <=> b(s(z), s(s(elem!1)))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23422])).
% 4.34/4.57 tff(23424,plain,
% 4.34/4.57 (b(s(z), elem!1) <=> b(s(z), s(s(s(elem!1))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23423, 23420])).
% 4.34/4.57 tff(23425,plain,
% 4.34/4.57 (s(s(elem!1)) = s(s(s(elem!1)))),
% 4.34/4.57 inference(symmetry,[status(thm)],[23408])).
% 4.34/4.57 tff(23426,plain,
% 4.34/4.57 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(s(elem!1))), s(s(s(elem!1))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23425])).
% 4.34/4.57 tff(23427,plain,
% 4.34/4.57 (b(s(s(s(elem!1))), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.57 inference(symmetry,[status(thm)],[23426])).
% 4.34/4.57 tff(23428,plain,
% 4.34/4.57 ((~b(s(s(s(elem!1))), s(s(s(elem!1))))) <=> (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23427])).
% 4.34/4.57 tff(23429,plain,
% 4.34/4.57 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[10321, 23428])).
% 4.34/4.57 tff(23430,plain,
% 4.34/4.57 (b(s(z), elem!1)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6637, 23429, 140, 1270])).
% 4.34/4.57 tff(23431,plain,
% 4.34/4.57 (b(s(z), s(s(s(elem!1))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23430, 23424])).
% 4.34/4.57 tff(23432,plain,
% 4.34/4.57 (b(s(z), s(s(elem!1)))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23430, 23423])).
% 4.34/4.57 tff(23433,plain,
% 4.34/4.57 (elem!1 = s(s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[3379, 4537])).
% 4.34/4.57 tff(23434,plain,
% 4.34/4.57 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[3225, 1283])).
% 4.34/4.57 tff(23435,plain,
% 4.34/4.57 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1428, 1282])).
% 4.34/4.57 tff(23436,plain,
% 4.34/4.57 (r(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1221, 21, 23435, 3468])).
% 4.34/4.57 tff(23437,plain,
% 4.34/4.57 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(elem!1)) = s(s(s(z))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[1272])).
% 4.34/4.57 tff(23438,plain,
% 4.34/4.57 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(elem!1)))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23437, 4361])).
% 4.34/4.57 tff(23439,plain,
% 4.34/4.57 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 4.34/4.57 inference(symmetry,[status(thm)],[23438])).
% 4.34/4.57 tff(23440,plain,
% 4.34/4.57 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23439, 10447])).
% 4.34/4.57 tff(23441,plain,
% 4.34/4.57 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(z))) = s(s(s(elem!1)))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23440])).
% 4.34/4.57 tff(23442,plain,
% 4.34/4.57 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[23435, 23441])).
% 4.34/4.57 tff(23443,plain,
% 4.34/4.57 (b(s(s(s(z))), s(s(s(elem!1)))) <=> b(s(s(s(z))), s(elem!1))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[213])).
% 4.34/4.57 tff(23444,plain,
% 4.34/4.57 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 4.34/4.57 inference(symmetry,[status(thm)],[23443])).
% 4.34/4.57 tff(23445,plain,
% 4.34/4.57 (s(elem!1) = s(s(elem!1))),
% 4.34/4.57 inference(transitivity,[status(thm)],[3622, 1272])).
% 4.34/4.57 tff(23446,plain,
% 4.34/4.57 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23445])).
% 4.34/4.57 tff(23447,plain,
% 4.34/4.57 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(elem!1))),
% 4.34/4.57 inference(symmetry,[status(thm)],[23446])).
% 4.34/4.57 tff(23448,plain,
% 4.34/4.57 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[23447, 23444])).
% 4.34/4.57 tff(23449,plain,
% 4.34/4.57 ((~b(s(s(s(z))), s(s(elem!1)))) <=> (~b(s(s(s(z))), s(s(s(elem!1)))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[23448])).
% 4.34/4.57 tff(23450,plain,
% 4.34/4.57 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[3468, 23449])).
% 4.34/4.57 tff(23451,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4012, 23450])).
% 4.34/4.57 tff(23452,plain,(b(s(s(s(z))), s(s(elem!1))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(elem!1))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(23453,plain,
% 4.34/4.57 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[23452, 3468, 1282, 1272])).
% 4.34/4.57 tff(23454,plain,
% 4.34/4.57 (r(s(s(s(z))), s(s(s(elem!1))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3784, 23453, 23442])).
% 4.34/4.58 tff(23455,plain,
% 4.34/4.58 (~r(z, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[8491, 23454, 1353])).
% 4.34/4.58 tff(23456,plain,
% 4.34/4.58 (b(z, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[149, 23455])).
% 4.34/4.58 tff(23457,plain,
% 4.34/4.58 (~(s(s(s(s(z)))) = elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[5428, 5446, 23433])).
% 4.34/4.58 tff(23458,plain,
% 4.34/4.58 (b(s(s(elem!1)), s(z)) <=> b(s(s(s(elem!1))), s(z))),
% 4.34/4.58 inference(symmetry,[status(thm)],[4603])).
% 4.34/4.58 tff(23459,plain,
% 4.34/4.58 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 4.34/4.58 inference(symmetry,[status(thm)],[23434])).
% 4.34/4.58 tff(23460,plain,
% 4.34/4.58 (r(z, s(s(s(s(elem!1))))) <=> r(z, s(s(elem!1)))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23459])).
% 4.34/4.58 tff(23461,plain,
% 4.34/4.58 (r(z, s(s(elem!1))) <=> r(z, s(s(s(s(elem!1)))))),
% 4.34/4.58 inference(symmetry,[status(thm)],[23460])).
% 4.34/4.58 tff(23462,plain,
% 4.34/4.58 (r(z, s(s(s(s(elem!1)))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[165, 23461])).
% 4.34/4.58 tff(23463,plain,
% 4.34/4.58 (~r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1760, 426, 23462])).
% 4.34/4.58 tff(23464,plain,
% 4.34/4.58 (r(s(s(s(z))), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[3312])).
% 4.34/4.58 tff(23465,plain,
% 4.34/4.58 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 4.34/4.58 inference(symmetry,[status(thm)],[23464])).
% 4.34/4.58 tff(23466,plain,
% 4.34/4.58 (r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[163, 23465])).
% 4.34/4.58 tff(23467,assumption,(~r(s(s(s(z))), s(s(s(s(elem!1)))))), introduced(assumption)).
% 4.34/4.58 tff(23468,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23467, 23466])).
% 4.34/4.58 tff(23469,plain,((~r(s(s(s(z))), s(s(elem!1)))) | r(s(s(s(z))), s(s(s(s(elem!1))))) | (~(s(s(elem!1)) = s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23470,plain,
% 4.34/4.58 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23469, 23463, 23434])).
% 4.34/4.58 tff(23471,plain,
% 4.34/4.58 (b(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1221, 21, 23435, 23470])).
% 4.34/4.58 tff(23472,plain,
% 4.34/4.58 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[4599])).
% 4.34/4.58 tff(23473,plain,
% 4.34/4.58 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), elem!1)),
% 4.34/4.58 inference(symmetry,[status(thm)],[23472])).
% 4.34/4.58 tff(23474,plain,
% 4.34/4.58 ((~r(s(s(s(z))), s(s(elem!1)))) <=> (~r(s(s(s(z))), elem!1))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23473])).
% 4.34/4.58 tff(23475,plain,
% 4.34/4.58 (~r(s(s(s(z))), elem!1)),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23470, 23474])).
% 4.34/4.58 tff(23476,plain,
% 4.34/4.58 (b(s(s(s(z))), elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1110, 23475, 5470])).
% 4.34/4.58 tff(23477,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1144, 14070, 23457])).
% 4.34/4.58 tff(23478,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3464, 23477, 5446])).
% 4.34/4.58 tff(23479,plain,
% 4.34/4.58 (~b(elem!1, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[2389, 23477, 2380, 14067, 987])).
% 4.34/4.58 tff(23480,plain,
% 4.34/4.58 (r(elem!1, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1160, 23479, 5483])).
% 4.34/4.58 tff(23481,plain,
% 4.34/4.58 (~r(z, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3328, 23480, 234])).
% 4.34/4.58 tff(23482,plain,
% 4.34/4.58 (b(z, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[149, 23481])).
% 4.34/4.58 tff(23483,plain,
% 4.34/4.58 (~b(z, s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[14120, 338, 23482, 987, 14067, 3254, 23478])).
% 4.34/4.58 tff(23484,plain,
% 4.34/4.58 (r(z, s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[391, 23483])).
% 4.34/4.58 tff(23485,plain,
% 4.34/4.58 (~r(elem!1, z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3397, 23480, 426])).
% 4.34/4.58 tff(23486,plain,
% 4.34/4.58 (~r(s(s(s(elem!1))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3385, 23485, 23433])).
% 4.34/4.58 tff(23487,plain,
% 4.34/4.58 (b(s(s(s(elem!1))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1387, 23486])).
% 4.34/4.58 tff(23488,plain,
% 4.34/4.58 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1207, 23435])).
% 4.34/4.58 tff(23489,plain,
% 4.34/4.58 (b(elem!1, s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[4599])).
% 4.34/4.58 tff(23490,plain,
% 4.34/4.58 ((~b(elem!1, s(s(s(z))))) <=> (~b(s(s(elem!1)), s(s(s(z)))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23489])).
% 4.34/4.58 tff(23491,plain,
% 4.34/4.58 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23479, 23490])).
% 4.34/4.58 tff(23492,plain,
% 4.34/4.58 (r(s(s(elem!1)), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1211, 21, 23491, 23488])).
% 4.34/4.58 tff(23493,plain,
% 4.34/4.58 (~r(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[2112, 23484, 108])).
% 4.34/4.58 tff(23494,plain,
% 4.34/4.58 (b(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[403, 23493])).
% 4.34/4.58 tff(23495,plain,
% 4.34/4.58 (b(elem!1, z) <=> b(s(s(elem!1)), z)),
% 4.34/4.58 inference(monotonicity,[status(thm)],[4599])).
% 4.34/4.58 tff(23496,plain,
% 4.34/4.58 ((z = elem!1) <=> (z = s(s(elem!1)))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[4599])).
% 4.34/4.58 tff(23497,plain,
% 4.34/4.58 ((z = elem!1) <=> (s(s(elem!1)) = z)),
% 4.34/4.58 inference(transitivity,[status(thm)],[23496, 151])).
% 4.34/4.58 tff(23498,plain,
% 4.34/4.58 ((s(s(elem!1)) = z) <=> (z = elem!1)),
% 4.34/4.58 inference(symmetry,[status(thm)],[23497])).
% 4.34/4.58 tff(23499,plain,
% 4.34/4.58 ((s(s(elem!1)) = z) <=> (elem!1 = z)),
% 4.34/4.58 inference(transitivity,[status(thm)],[23498, 2749])).
% 4.34/4.58 tff(23500,plain,
% 4.34/4.58 ((~(s(s(elem!1)) = z)) <=> (~(elem!1 = z))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23499])).
% 4.34/4.58 tff(23501,plain,
% 4.34/4.58 (~(elem!1 = z)),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[155, 23500])).
% 4.34/4.58 tff(23502,plain,
% 4.34/4.58 (b(elem!1, z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[846, 23485, 23501])).
% 4.34/4.58 tff(23503,plain,
% 4.34/4.58 (b(s(s(elem!1)), z)),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23502, 23495])).
% 4.34/4.58 tff(23504,plain,
% 4.34/4.58 (~b(s(z), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10715, 1740, 3348, 1596, 1880, 486])).
% 4.34/4.58 tff(23505,plain,
% 4.34/4.58 (r(s(z), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[424, 23504])).
% 4.34/4.58 tff(23506,plain,
% 4.34/4.58 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(23507,plain,
% 4.34/4.58 (((~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(z)))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(23508,plain,
% 4.34/4.58 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(z)))))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23507])).
% 4.34/4.58 tff(23509,plain,
% 4.34/4.58 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 4.34/4.58 inference(transitivity,[status(thm)],[23508, 23506])).
% 4.34/4.58 tff(23510,plain,
% 4.34/4.58 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))))),
% 4.34/4.58 inference(quant_inst,[status(thm)],[])).
% 4.34/4.58 tff(23511,plain,
% 4.34/4.58 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(z)))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23510, 23509])).
% 4.34/4.58 tff(23512,plain,
% 4.34/4.58 (~r(s(s(elem!1)), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23511, 82, 23505, 6890])).
% 4.34/4.58 tff(23513,plain,
% 4.34/4.58 (b(s(s(elem!1)), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[784, 23512])).
% 4.34/4.58 tff(23514,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[6961, 338, 878, 747, 486, 1740, 23513])).
% 4.34/4.58 tff(23515,plain,((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23516,plain,
% 4.34/4.58 (~b(s(z), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23515, 23503, 747, 23494, 23492, 23482, 23487, 1880])).
% 4.34/4.58 tff(23517,plain,
% 4.34/4.58 (r(s(z), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[26, 23516])).
% 4.34/4.58 tff(23518,plain,
% 4.34/4.58 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[552, 23517, 23484])).
% 4.34/4.58 tff(23519,plain,
% 4.34/4.58 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[106, 23518])).
% 4.34/4.58 tff(23520,plain,
% 4.34/4.58 (~(s(z) = elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[873, 23435])).
% 4.34/4.58 tff(23521,plain,
% 4.34/4.58 (~(elem!1 = s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[696, 23520])).
% 4.34/4.58 tff(23522,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[1272])).
% 4.34/4.58 tff(23523,plain,
% 4.34/4.58 ((~b(s(s(s(s(z)))), s(s(s(elem!1))))) <=> (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23522])).
% 4.34/4.58 tff(23524,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[3762, 23523])).
% 4.34/4.58 tff(23525,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3484, 23524])).
% 4.34/4.58 tff(23526,plain,((~b(s(s(s(s(z)))), s(s(elem!1)))) | b(s(s(s(s(z)))), s(s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23527,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23526, 23478, 1272])).
% 4.34/4.58 tff(23528,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17704, 11566, 5431, 1880, 3771])).
% 4.34/4.58 tff(23529,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[119, 23528])).
% 4.34/4.58 tff(23530,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[11560, 82, 405, 23529, 1122])).
% 4.34/4.58 tff(23531,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23532,plain,
% 4.34/4.58 (~b(s(s(s(elem!1))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23531, 23517, 1880, 1122, 23527])).
% 4.34/4.58 tff(23533,plain,
% 4.34/4.58 (~b(elem!1, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[4608, 23532, 1272])).
% 4.34/4.58 tff(23534,plain,
% 4.34/4.58 (r(elem!1, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[819, 23533, 23521])).
% 4.34/4.58 tff(23535,plain,
% 4.34/4.58 (~r(s(s(s(z))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3335, 23534, 23480])).
% 4.34/4.58 tff(23536,plain,
% 4.34/4.58 (b(s(s(s(z))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[437, 23535])).
% 4.34/4.58 tff(23537,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(23538,plain,
% 4.34/4.58 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(23539,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23538])).
% 4.34/4.58 tff(23540,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.34/4.58 inference(transitivity,[status(thm)],[23539, 23537])).
% 4.34/4.58 tff(23541,plain,
% 4.34/4.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 4.34/4.58 inference(quant_inst,[status(thm)],[])).
% 4.34/4.58 tff(23542,plain,
% 4.34/4.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23541, 23540])).
% 4.34/4.58 tff(23543,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23542, 338, 747, 23494, 23482, 23536, 23519, 23478])).
% 4.34/4.58 tff(23544,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(z, elem!1)) | (~b(s(s(s(z))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23545,plain,
% 4.34/4.58 (~r(s(s(s(s(z)))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23544, 108, 1272, 1880, 747, 987, 23471, 426, 234, 23476])).
% 4.34/4.58 tff(23546,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[127, 23545])).
% 4.34/4.58 tff(23547,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[4599])).
% 4.34/4.58 tff(23548,plain,
% 4.34/4.58 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3708, 10966, 108])).
% 4.34/4.58 tff(23549,plain,
% 4.34/4.58 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[689, 23548])).
% 4.34/4.58 tff(23550,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[19146, 3348, 987, 23549, 175, 3254])).
% 4.34/4.58 tff(23551,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3464, 23550, 5446])).
% 4.34/4.58 tff(23552,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1144, 23551, 23457])).
% 4.34/4.58 tff(23553,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23552, 23547])).
% 4.34/4.58 tff(23554,plain,
% 4.34/4.58 (~r(z, s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10586, 82, 165, 23553])).
% 4.34/4.58 tff(23555,plain,
% 4.34/4.58 (b(z, s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[391, 23554])).
% 4.34/4.58 tff(23556,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[11173, 338, 3348, 987, 23549, 175, 23555])).
% 4.34/4.58 tff(23557,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23558,plain,
% 4.34/4.58 (~b(z, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23557, 23546, 987, 165, 1272, 23471, 108, 747])).
% 4.34/4.58 tff(23559,plain,
% 4.34/4.58 (r(z, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[149, 23558])).
% 4.34/4.58 tff(23560,plain,
% 4.34/4.58 (~r(elem!1, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3328, 23559, 234])).
% 4.34/4.58 tff(23561,plain,
% 4.34/4.58 (b(elem!1, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1160, 23560, 5483])).
% 4.34/4.58 tff(23562,plain,
% 4.34/4.58 (b(s(s(elem!1)), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3458, 23561, 5446])).
% 4.34/4.58 tff(23563,plain,
% 4.34/4.58 ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[14592, 338, 747, 987, 3254, 3485])).
% 4.34/4.58 tff(23564,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23563, 458])).
% 4.34/4.58 tff(23565,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3464, 23564, 1414])).
% 4.34/4.58 tff(23566,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1144, 23565, 1039])).
% 4.34/4.58 tff(23567,plain,
% 4.34/4.58 (~b(s(s(elem!1)), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10954, 458, 3254, 747, 3485])).
% 4.34/4.58 tff(23568,plain,
% 4.34/4.58 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10934, 23567, 1494])).
% 4.34/4.58 tff(23569,plain,
% 4.34/4.58 (r(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1585, 23568])).
% 4.34/4.58 tff(23570,plain,
% 4.34/4.58 (r(elem!1, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10928, 23569, 1414])).
% 4.34/4.58 tff(23571,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1178, 23570, 23566, 108])).
% 4.34/4.58 tff(23572,plain,((~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~(elem!1 = s(s(elem!1)))) | (s(s(s(s(z)))) = elem!1) | (~(s(s(elem!1)) = s(s(s(s(elem!1)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23573,plain,
% 4.34/4.58 (~b(s(s(s(z))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23572, 108, 5446, 23457, 23434, 747, 987, 23471, 23562])).
% 4.34/4.58 tff(23574,plain,
% 4.34/4.58 (r(s(s(s(z))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[437, 23573])).
% 4.34/4.58 tff(23575,plain,
% 4.34/4.58 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3708, 23574, 108])).
% 4.34/4.58 tff(23576,plain,
% 4.34/4.58 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[689, 23575])).
% 4.34/4.58 tff(23577,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[2389, 23576, 23476, 23561, 987])).
% 4.34/4.58 tff(23578,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), elem!1)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1144, 23577, 23457])).
% 4.34/4.58 tff(23579,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23578, 23547])).
% 4.34/4.58 tff(23580,plain,
% 4.34/4.58 (~r(z, s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10586, 82, 165, 23579])).
% 4.34/4.58 tff(23581,plain,
% 4.34/4.58 (b(z, s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[391, 23580])).
% 4.34/4.58 tff(23582,plain,
% 4.34/4.58 (~r(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[2908, 23574, 108])).
% 4.34/4.58 tff(23583,plain,
% 4.34/4.58 (b(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[403, 23582])).
% 4.34/4.58 tff(23584,plain,
% 4.34/4.58 (~r(elem!1, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10390, 23574, 108, 5483, 23457, 23476])).
% 4.34/4.58 tff(23585,plain,
% 4.34/4.58 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10928, 23584, 5446])).
% 4.34/4.58 tff(23586,plain,
% 4.34/4.58 (b(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1585, 23585])).
% 4.34/4.58 tff(23587,plain,
% 4.34/4.58 (b(s(s(elem!1)), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10934, 23586, 23434])).
% 4.34/4.58 tff(23588,plain,
% 4.34/4.58 (~b(s(z), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[7851, 23587, 23562, 23471, 747])).
% 4.34/4.58 tff(23589,plain,
% 4.34/4.58 (r(s(z), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[424, 23588])).
% 4.34/4.58 tff(23590,plain,
% 4.34/4.58 (~r(s(z), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[414, 23589, 23559])).
% 4.34/4.58 tff(23591,plain,
% 4.34/4.58 (b(s(z), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[26, 23590])).
% 4.34/4.58 tff(23592,plain,
% 4.34/4.58 (~b(s(s(elem!1)), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[6963, 23583, 747, 23591, 23587])).
% 4.34/4.58 tff(23593,plain,
% 4.34/4.58 (r(s(s(elem!1)), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[800, 23592])).
% 4.34/4.58 tff(23594,assumption,(s(s(z)) = s(s(elem!1))), introduced(assumption)).
% 4.34/4.58 tff(23595,plain,
% 4.34/4.58 (s(s(elem!1)) = s(s(z))),
% 4.34/4.58 inference(symmetry,[status(thm)],[23594])).
% 4.34/4.58 tff(23596,plain,
% 4.34/4.58 (elem!1 = s(s(z))),
% 4.34/4.58 inference(transitivity,[status(thm)],[4598, 1272, 23595])).
% 4.34/4.58 tff(23597,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[5623, 23596])).
% 4.34/4.58 tff(23598,plain,((~(s(s(z)) = s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23599,plain,
% 4.34/4.58 (~(s(s(z)) = s(s(elem!1)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23598, 1272])).
% 4.34/4.58 tff(23600,plain,
% 4.34/4.58 (~r(s(s(z)), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[11293, 23562, 23471, 23599, 426, 23593, 23589, 23559, 23583, 108, 23576, 23546, 23581])).
% 4.34/4.58 tff(23601,plain,
% 4.34/4.58 (b(s(s(z)), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[956, 23600])).
% 4.34/4.58 tff(23602,plain,
% 4.34/4.58 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[11303, 23583, 23591, 23601, 108])).
% 4.34/4.58 tff(23603,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[68, 23602])).
% 4.34/4.58 tff(23604,plain,
% 4.34/4.58 (~r(s(s(z)), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[572, 23603, 23546, 23559, 23581])).
% 4.34/4.58 tff(23605,plain,
% 4.34/4.58 (b(s(s(z)), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[534, 23604])).
% 4.34/4.58 tff(23606,plain,
% 4.34/4.58 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[13638, 23605, 23603, 23576, 987])).
% 4.34/4.58 tff(23607,plain,
% 4.34/4.58 ((s(s(z)) = s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[597, 21, 23606])).
% 4.34/4.58 tff(23608,plain,
% 4.34/4.58 (r(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23607, 61])).
% 4.34/4.58 tff(23609,plain,
% 4.34/4.58 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3505, 23581, 23583, 23591, 23546])).
% 4.34/4.58 tff(23610,plain,
% 4.34/4.58 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[106, 23609])).
% 4.34/4.58 tff(23611,plain,
% 4.34/4.58 (~r(s(z), s(s(z)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[589, 82, 23610, 23608])).
% 4.34/4.58 tff(23612,plain,
% 4.34/4.58 (b(s(z), s(s(z)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[455, 23611])).
% 4.34/4.58 tff(23613,plain,
% 4.34/4.58 (~r(s(s(z)), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[581, 82, 23610, 23608])).
% 4.34/4.58 tff(23614,plain,
% 4.34/4.58 (b(s(s(z)), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[472, 23613])).
% 4.34/4.58 tff(23615,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[11301, 338, 23583, 23591, 23614, 23601, 23612])).
% 4.34/4.58 tff(23616,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23617,plain,
% 4.34/4.58 (~r(s(s(s(s(z)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23616, 987, 426, 747, 165, 1272, 234, 1880])).
% 4.34/4.58 tff(23618,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[119, 23617])).
% 4.34/4.58 tff(23619,plain,
% 4.34/4.58 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10934, 778, 23434])).
% 4.34/4.58 tff(23620,plain,
% 4.34/4.58 (r(s(s(s(s(elem!1)))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1585, 23619])).
% 4.34/4.58 tff(23621,plain,
% 4.34/4.58 (r(elem!1, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10928, 23620, 5446])).
% 4.34/4.58 tff(23622,plain,
% 4.34/4.58 (~b(elem!1, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[2389, 14067, 2380, 23477, 987])).
% 4.34/4.58 tff(23623,plain,
% 4.34/4.58 (r(elem!1, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1160, 23622, 5483])).
% 4.34/4.58 tff(23624,plain,
% 4.34/4.58 (~r(s(s(s(z))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3335, 23623, 803])).
% 4.34/4.58 tff(23625,plain,
% 4.34/4.58 (b(s(s(s(z))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[437, 23624])).
% 4.34/4.58 tff(23626,plain,
% 4.34/4.58 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[5782, 23625, 987, 2911, 14067])).
% 4.34/4.58 tff(23627,plain,
% 4.34/4.58 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[106, 23626])).
% 4.34/4.58 tff(23628,plain,
% 4.34/4.58 (~r(s(z), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[2977, 23627, 1122])).
% 4.34/4.58 tff(23629,plain,
% 4.34/4.58 (b(s(z), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[26, 23628])).
% 4.34/4.58 tff(23630,plain,
% 4.34/4.58 (~r(z, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3328, 23623, 234])).
% 4.34/4.58 tff(23631,plain,
% 4.34/4.58 (b(z, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[149, 23630])).
% 4.34/4.58 tff(23632,plain,
% 4.34/4.58 (~r(elem!1, z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3397, 23623, 426])).
% 4.34/4.58 tff(23633,plain,
% 4.34/4.58 (~r(s(s(s(elem!1))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3385, 23632, 23433])).
% 4.34/4.58 tff(23634,plain,
% 4.34/4.58 (b(s(s(s(elem!1))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1387, 23633])).
% 4.34/4.58 tff(23635,plain,
% 4.34/4.58 (~r(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[8266, 803, 234])).
% 4.34/4.58 tff(23636,plain,
% 4.34/4.58 (b(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[403, 23635])).
% 4.34/4.58 tff(23637,plain,
% 4.34/4.58 (b(elem!1, z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[846, 23632, 23501])).
% 4.34/4.58 tff(23638,plain,
% 4.34/4.58 (b(s(s(elem!1)), z)),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23637, 23495])).
% 4.34/4.58 tff(23639,plain,
% 4.34/4.58 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23622, 23490])).
% 4.34/4.58 tff(23640,plain,
% 4.34/4.58 (r(s(s(elem!1)), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1211, 21, 23639, 23488])).
% 4.34/4.58 tff(23641,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23515, 23640, 23638, 747, 23636, 23634, 23631, 23629, 1880])).
% 4.34/4.58 tff(23642,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(elem!1, s(z))) | (~r(s(s(s(z))), z)) | (~r(z, elem!1)) | (~b(s(s(s(z))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23643,plain,
% 4.34/4.58 (~r(s(s(s(s(z)))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23642, 23621, 1880, 1272, 987, 23618, 747, 426, 234, 23476])).
% 4.34/4.58 tff(23644,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[127, 23643])).
% 4.34/4.58 tff(23645,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[10964, 338, 747, 3330, 3337, 987, 175, 3254])).
% 4.34/4.58 tff(23646,plain,((~r(elem!1, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(elem!1, s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23647,plain,
% 4.34/4.58 (~r(elem!1, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23646, 23644, 987, 747, 23471, 23621, 234])).
% 4.34/4.58 tff(23648,plain,
% 4.34/4.58 (b(elem!1, s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1160, 23647, 5483])).
% 4.34/4.58 tff(23649,plain,
% 4.34/4.58 (~(s(s(s(z))) = s(elem!1))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[5466, 1281])).
% 4.34/4.58 tff(23650,plain,
% 4.34/4.58 (s(elem!1) = s(s(s(elem!1)))),
% 4.34/4.58 inference(transitivity,[status(thm)],[5472, 1275])).
% 4.34/4.58 tff(23651,plain,
% 4.34/4.58 (r(s(elem!1), s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(s(z))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23650])).
% 4.34/4.58 tff(23652,plain,
% 4.34/4.58 (r(s(s(s(elem!1))), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.34/4.58 inference(symmetry,[status(thm)],[23651])).
% 4.34/4.58 tff(23653,plain,
% 4.34/4.58 (r(elem!1, s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(s(z))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[4598])).
% 4.34/4.58 tff(23654,plain,
% 4.34/4.58 (r(elem!1, s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.34/4.58 inference(transitivity,[status(thm)],[23653, 23652])).
% 4.34/4.58 tff(23655,plain,
% 4.34/4.58 ((~r(elem!1, s(s(s(z))))) <=> (~r(s(elem!1), s(s(s(z)))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23654])).
% 4.34/4.58 tff(23656,plain,
% 4.34/4.58 (~r(s(elem!1), s(s(s(z))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23647, 23655])).
% 4.34/4.58 tff(23657,plain,
% 4.34/4.58 (b(s(s(s(elem!1))), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[4003, 23656, 1282, 23649])).
% 4.34/4.58 tff(23658,plain,
% 4.34/4.58 (r(s(s(s(z))), s(s(s(elem!1)))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[1272])).
% 4.34/4.58 tff(23659,plain,
% 4.34/4.58 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(elem!1))))),
% 4.34/4.58 inference(symmetry,[status(thm)],[23658])).
% 4.34/4.58 tff(23660,plain,
% 4.34/4.58 ((~r(s(s(s(z))), s(s(elem!1)))) <=> (~r(s(s(s(z))), s(s(s(elem!1)))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23659])).
% 4.34/4.58 tff(23661,plain,
% 4.34/4.58 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[23470, 23660])).
% 4.34/4.58 tff(23662,plain,
% 4.34/4.58 (b(s(s(s(z))), s(s(s(elem!1))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[3784, 23661, 23442])).
% 4.34/4.58 tff(23663,plain,
% 4.34/4.58 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[1340])).
% 4.34/4.58 tff(23664,plain,
% 4.34/4.58 (s(s(s(s(elem!1)))) = s(s(s(elem!1)))),
% 4.34/4.58 inference(transitivity,[status(thm)],[23663, 219, 22542])).
% 4.34/4.58 tff(23665,plain,
% 4.34/4.58 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23664])).
% 4.34/4.58 tff(23666,plain,
% 4.34/4.58 (r(s(s(s(elem!1))), s(z))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[1520, 23665])).
% 4.34/4.58 tff(23667,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1851, 23666])).
% 4.34/4.58 tff(23668,plain,((~r(s(s(s(s(elem!1)))), s(z))) | r(s(s(s(elem!1))), s(z)) | (~(s(s(elem!1)) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(23669,plain,
% 4.34/4.58 (r(s(s(s(elem!1))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[23668, 23620, 1281])).
% 4.34/4.58 tff(23670,plain,
% 4.34/4.58 (~r(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[8266, 23621, 234])).
% 4.34/4.58 tff(23671,plain,
% 4.34/4.58 (b(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[403, 23670])).
% 4.34/4.58 tff(23672,plain,
% 4.34/4.58 (r(s(elem!1), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[5472])).
% 4.34/4.58 tff(23673,plain,
% 4.34/4.58 (r(s(s(elem!1)), s(z)) <=> r(s(elem!1), s(z))),
% 4.34/4.58 inference(symmetry,[status(thm)],[23672])).
% 4.34/4.58 tff(23674,plain,
% 4.34/4.58 (r(s(elem!1), s(z))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[14641, 23673])).
% 4.34/4.58 tff(23675,plain,
% 4.34/4.58 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[23650])).
% 4.34/4.58 tff(23676,plain,
% 4.34/4.58 (r(s(s(s(elem!1))), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.58 inference(symmetry,[status(thm)],[23675])).
% 4.34/4.58 tff(23677,plain,
% 4.34/4.58 (r(elem!1, s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[4598])).
% 4.34/4.58 tff(23678,plain,
% 4.34/4.58 (r(elem!1, s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.58 inference(transitivity,[status(thm)],[23677, 23676])).
% 4.34/4.58 tff(23679,plain,
% 4.34/4.58 (~(elem!1 = s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1062, 23457])).
% 4.34/4.58 tff(23680,plain,
% 4.34/4.58 (~b(s(z), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[7735, 911, 486, 175, 427])).
% 4.34/4.58 tff(23681,plain,
% 4.34/4.58 (r(s(z), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[26, 23680])).
% 4.34/4.58 tff(23682,plain,
% 4.34/4.58 (~r(s(z), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[414, 23681, 164])).
% 4.34/4.58 tff(23683,plain,
% 4.34/4.58 (b(s(z), s(s(s(z))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[424, 23682])).
% 4.34/4.58 tff(23684,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(23685,plain,
% 4.34/4.58 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(23686,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.34/4.59 inference(monotonicity,[status(thm)],[23685])).
% 4.34/4.59 tff(23687,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.59 inference(transitivity,[status(thm)],[23686, 23684])).
% 4.34/4.59 tff(23688,plain,
% 4.34/4.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 4.34/4.59 inference(quant_inst,[status(thm)],[])).
% 4.34/4.59 tff(23689,plain,
% 4.34/4.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23688, 23687])).
% 4.34/4.59 tff(23690,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23689, 338, 486, 23683, 987, 7733, 2911, 11927])).
% 4.34/4.59 tff(23691,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23692,plain,
% 4.34/4.59 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23691, 164, 987, 2911, 486, 175, 427])).
% 4.34/4.59 tff(23693,plain,
% 4.34/4.59 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[689, 23692])).
% 4.34/4.59 tff(23694,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[2389, 23693, 2380, 2381, 987])).
% 4.34/4.59 tff(23695,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[1144, 23694, 23457])).
% 4.34/4.59 tff(23696,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23695, 23547])).
% 4.34/4.59 tff(23697,plain,
% 4.34/4.59 (~r(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[10586, 82, 165, 23696])).
% 4.34/4.59 tff(23698,plain,
% 4.34/4.59 (b(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[391, 23697])).
% 4.34/4.59 tff(23699,plain,
% 4.34/4.59 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.34/4.59 inference(monotonicity,[status(thm)],[1275])).
% 4.34/4.59 tff(23700,plain,
% 4.34/4.59 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.59 inference(transitivity,[status(thm)],[23699, 23676])).
% 4.34/4.59 tff(23701,plain,
% 4.34/4.59 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[3236, 5446])).
% 4.34/4.59 tff(23702,plain,
% 4.34/4.59 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[3262, 23693, 2911, 3254, 486, 175])).
% 4.34/4.59 tff(23703,plain,
% 4.34/4.59 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[366, 21, 23702, 23701])).
% 4.34/4.59 tff(23704,plain,
% 4.34/4.59 (r(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23703, 23700])).
% 4.34/4.59 tff(23705,plain,
% 4.34/4.59 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[4043, 23704, 3047])).
% 4.34/4.59 tff(23706,plain,
% 4.34/4.59 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[106, 23705])).
% 4.34/4.59 tff(23707,plain,
% 4.34/4.59 (~b(s(z), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[3204, 23706, 2911, 486, 175])).
% 4.34/4.59 tff(23708,plain,
% 4.34/4.59 (r(s(z), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[26, 23707])).
% 4.34/4.59 tff(23709,plain,
% 4.34/4.59 (~r(s(z), s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[414, 23708, 164])).
% 4.34/4.59 tff(23710,plain,
% 4.34/4.59 (b(s(z), s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[424, 23709])).
% 4.34/4.59 tff(23711,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23689, 338, 486, 23710, 987, 23706, 2911, 23698])).
% 4.34/4.59 tff(23712,plain,((~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(elem!1), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23713,plain,
% 4.34/4.59 (~r(z, s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23712, 427, 987, 2911, 175, 3047, 1272, 165, 3254, 2380, 2381, 486])).
% 4.34/4.59 tff(23714,plain,
% 4.34/4.59 (b(z, s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[149, 23713])).
% 4.34/4.59 tff(23715,plain,
% 4.34/4.59 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[4794, 23649])).
% 4.34/4.59 tff(23716,plain,
% 4.34/4.59 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[4805, 21, 10476, 23715])).
% 4.34/4.59 tff(23717,plain,
% 4.34/4.59 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[19146, 23716, 987, 175, 3348, 3254])).
% 4.34/4.59 tff(23718,plain,
% 4.34/4.59 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[689, 23717])).
% 4.34/4.59 tff(23719,plain,
% 4.34/4.59 (~b(s(z), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[7735, 23718, 486, 175, 427])).
% 4.34/4.59 tff(23720,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(symmetry,[status(thm)],[23547])).
% 4.34/4.59 tff(23721,plain,
% 4.34/4.59 ((~r(s(s(s(s(z)))), s(s(elem!1)))) <=> (~r(s(s(s(s(z)))), elem!1))),
% 4.34/4.59 inference(monotonicity,[status(thm)],[23720])).
% 4.34/4.59 tff(23722,plain,
% 4.34/4.59 (~r(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[10476, 23721])).
% 4.34/4.59 tff(23723,plain,
% 4.34/4.59 (b(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[1144, 23722, 23457])).
% 4.34/4.59 tff(23724,plain,
% 4.34/4.59 (~b(s(s(s(elem!1))), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[4025, 23723, 4012, 987, 4011, 3348, 23433])).
% 4.34/4.59 tff(23725,plain,
% 4.34/4.59 (r(s(s(s(elem!1))), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[1387, 23724])).
% 4.34/4.59 tff(23726,plain,
% 4.34/4.59 (~r(s(z), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[2599, 23725, 2588])).
% 4.34/4.59 tff(23727,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[26, 23726, 23719])).
% 4.34/4.59 tff(23728,plain,(r(s(s(s(s(z)))), s(s(elem!1))) | (~r(s(s(s(elem!1))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23729,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23728, 427, 486, 175, 2588, 4012, 987, 4011, 23714, 3254, 1272])).
% 4.34/4.59 tff(23730,plain,
% 4.34/4.59 (~r(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[10588, 23729, 165])).
% 4.34/4.59 tff(23731,plain,
% 4.34/4.59 (b(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[391, 23730])).
% 4.34/4.59 tff(23732,plain,
% 4.34/4.59 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[11366, 23714, 486, 987, 175, 23731])).
% 4.34/4.59 tff(23733,plain,
% 4.34/4.59 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[106, 23732])).
% 4.34/4.59 tff(23734,plain,
% 4.34/4.59 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[2959, 23733, 427])).
% 4.34/4.59 tff(23735,plain,
% 4.34/4.59 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[689, 23734])).
% 4.34/4.59 tff(23736,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(23737,plain,
% 4.34/4.59 (((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(23738,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.34/4.59 inference(monotonicity,[status(thm)],[23737])).
% 4.34/4.59 tff(23739,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.34/4.59 inference(transitivity,[status(thm)],[23738, 23736])).
% 4.34/4.59 tff(23740,plain,
% 4.34/4.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 4.34/4.59 inference(quant_inst,[status(thm)],[])).
% 4.34/4.59 tff(23741,plain,
% 4.34/4.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23740, 23739])).
% 4.34/4.59 tff(23742,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23741, 338, 3918, 3348, 2380, 987, 539, 555])).
% 4.34/4.59 tff(23743,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23744,plain,
% 4.34/4.59 (~b(elem!1, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23743, 23735, 2380, 987, 23731, 23714])).
% 4.34/4.59 tff(23745,plain,
% 4.34/4.59 (r(elem!1, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[1094, 23744, 23679])).
% 4.34/4.59 tff(23746,plain,
% 4.34/4.59 (r(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23745, 23678])).
% 4.34/4.59 tff(23747,plain,
% 4.34/4.59 (~r(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[4043, 23733, 3047])).
% 4.34/4.59 tff(23748,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23747, 23746])).
% 4.34/4.59 tff(23749,plain,((~r(s(s(s(z))), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(elem!1), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(z))) | (~b(s(s(s(z))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23750,plain,
% 4.34/4.59 (~r(s(s(s(z))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23749, 23674, 23476, 987, 1272, 23671, 23644, 165, 23669, 23662, 23657, 23471, 23618, 23648])).
% 4.34/4.59 tff(23751,plain,
% 4.34/4.59 (b(s(s(s(z))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[437, 23750])).
% 4.34/4.59 tff(23752,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(23753,plain,
% 4.34/4.59 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(23754,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.34/4.59 inference(monotonicity,[status(thm)],[23753])).
% 4.34/4.59 tff(23755,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.59 inference(transitivity,[status(thm)],[23754, 23752])).
% 4.34/4.59 tff(23756,plain,
% 4.34/4.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.34/4.59 inference(quant_inst,[status(thm)],[])).
% 4.34/4.59 tff(23757,plain,
% 4.34/4.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 4.34/4.59 tff(23758,plain,
% 4.34/4.59 (~b(s(z), s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23757, 338, 747, 23751, 987, 23618, 23471])).
% 4.34/4.59 tff(23759,plain,
% 4.34/4.59 (r(s(z), s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[424, 23758])).
% 4.34/4.59 tff(23760,plain,
% 4.34/4.59 (b(s(s(elem!1)), s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[3458, 23648, 5446])).
% 4.34/4.59 tff(23761,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(23762,plain,
% 4.34/4.59 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(23763,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.34/4.59 inference(monotonicity,[status(thm)],[23762])).
% 4.34/4.59 tff(23764,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.34/4.59 inference(transitivity,[status(thm)],[23763, 23761])).
% 4.34/4.59 tff(23765,plain,
% 4.34/4.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.34/4.59 inference(quant_inst,[status(thm)],[])).
% 4.34/4.59 tff(23766,plain,
% 4.34/4.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23765, 23764])).
% 4.34/4.59 tff(23767,plain,
% 4.34/4.59 ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23766, 338, 747, 987, 23471, 23760])).
% 4.34/4.59 tff(23768,plain,
% 4.34/4.59 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23767, 23751])).
% 4.34/4.59 tff(23769,plain,
% 4.34/4.59 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[366, 21, 23768, 23701])).
% 4.34/4.59 tff(23770,plain,
% 4.34/4.59 (r(s(elem!1), s(s(s(s(z)))))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23769, 23700])).
% 4.34/4.59 tff(23771,plain,
% 4.34/4.59 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[4043, 23770, 23674])).
% 4.34/4.59 tff(23772,plain,
% 4.34/4.59 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[106, 23771])).
% 4.34/4.59 tff(23773,plain,
% 4.34/4.59 (~b(s(z), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[3204, 23772, 23618, 23671, 23644])).
% 4.34/4.59 tff(23774,plain,
% 4.34/4.59 (r(s(z), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[26, 23773])).
% 4.34/4.59 tff(23775,plain,
% 4.34/4.59 ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[14592, 338, 747, 987, 23471, 23760])).
% 4.34/4.59 tff(23776,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23775, 23751])).
% 4.34/4.59 tff(23777,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[3464, 23776, 5446])).
% 4.34/4.59 tff(23778,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[1144, 23777, 23457])).
% 4.34/4.59 tff(23779,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23778, 23547])).
% 4.34/4.59 tff(23780,plain,
% 4.34/4.59 (~r(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[10586, 82, 165, 23779])).
% 4.34/4.59 tff(23781,plain,
% 4.34/4.59 (b(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[391, 23780])).
% 4.34/4.59 tff(23782,plain,
% 4.34/4.59 (~b(z, s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[11366, 23772, 23671, 987, 23644, 23781])).
% 4.34/4.59 tff(23783,plain,
% 4.34/4.59 (r(z, s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[149, 23782])).
% 4.34/4.59 tff(23784,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[414, 23783, 23774, 23759])).
% 4.34/4.59 tff(23785,plain,(b(s(s(elem!1)), s(z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23786,plain,
% 4.34/4.59 (b(s(s(elem!1)), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23785, 987, 1272, 747, 165, 234, 1880, 426])).
% 4.34/4.59 tff(23787,plain,
% 4.34/4.59 (b(s(s(s(elem!1))), s(z))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23786, 23458])).
% 4.34/4.59 tff(23788,plain,
% 4.34/4.59 (~r(elem!1, s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23642, 1122, 1880, 1272, 987, 2911, 747, 426, 234, 2380])).
% 4.34/4.59 tff(23789,plain,
% 4.34/4.59 (b(elem!1, s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[819, 23788, 23521])).
% 4.34/4.59 tff(23790,plain,
% 4.34/4.59 (b(s(s(s(elem!1))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[12610, 23789, 23433])).
% 4.34/4.59 tff(23791,plain,
% 4.34/4.59 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[17704, 23527, 1880, 2911, 23790])).
% 4.34/4.59 tff(23792,plain,
% 4.34/4.59 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[106, 23791])).
% 4.34/4.59 tff(23793,plain,
% 4.34/4.59 (~b(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[14120, 338, 23631, 987, 14067, 3254, 23478])).
% 4.34/4.59 tff(23794,plain,
% 4.34/4.59 (r(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[391, 23793])).
% 4.34/4.59 tff(23795,plain,
% 4.34/4.59 (~r(s(z), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23531, 23790, 1880, 1122, 23527])).
% 4.34/4.59 tff(23796,plain,
% 4.34/4.59 (b(s(z), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[26, 23795])).
% 4.34/4.59 tff(23797,plain,
% 4.34/4.59 (~r(elem!1, z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[8435, 23790, 23433, 1880, 23457, 2911, 1122])).
% 4.34/4.59 tff(23798,plain,
% 4.34/4.59 (b(elem!1, z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[846, 23797, 23501])).
% 4.34/4.59 tff(23799,plain,
% 4.34/4.59 (b(s(s(elem!1)), z)),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23798, 23495])).
% 4.34/4.59 tff(23800,plain,
% 4.34/4.59 (~b(z, s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[6963, 23799, 747, 764, 23796])).
% 4.34/4.59 tff(23801,plain,
% 4.34/4.59 (r(z, s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[403, 23800])).
% 4.34/4.59 tff(23802,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[11465, 23801, 23794, 23792])).
% 4.34/4.59 tff(23803,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23804,plain,
% 4.34/4.59 (~r(s(s(s(s(z)))), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23803, 23786, 747, 987, 23471, 1272, 234, 1880, 23618, 23476, 426])).
% 4.34/4.59 tff(23805,plain,
% 4.34/4.59 (b(s(s(s(s(z)))), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[127, 23804])).
% 4.34/4.59 tff(23806,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[17704, 21783, 1880, 2911, 5431])).
% 4.34/4.59 tff(23807,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23526, 23806, 1272])).
% 4.34/4.59 tff(23808,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[3464, 23807, 5446])).
% 4.34/4.59 tff(23809,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), elem!1)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[1144, 23808, 23457])).
% 4.34/4.59 tff(23810,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[23809, 23547])).
% 4.34/4.59 tff(23811,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[11509, 23810])).
% 4.34/4.59 tff(23812,plain,((~r(z, s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23813,plain,
% 4.34/4.59 (~r(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23812, 1731, 1880, 23618, 23787, 165, 1272])).
% 4.34/4.59 tff(23814,plain,
% 4.34/4.59 (b(z, s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[391, 23813])).
% 4.34/4.59 tff(23815,plain,
% 4.34/4.59 (~r(z, s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[10956, 1731, 747, 23786, 5446, 5483, 23471, 234])).
% 4.34/4.59 tff(23816,plain,
% 4.34/4.59 (b(z, s(s(s(z))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[149, 23815])).
% 4.34/4.59 tff(23817,plain,
% 4.34/4.59 (~b(s(s(s(z))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[11163, 338, 747, 23816, 987, 23471, 23814])).
% 4.34/4.59 tff(23818,plain,
% 4.34/4.59 (r(s(s(s(z))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[437, 23817])).
% 4.34/4.59 tff(23819,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[2898, 82, 1731, 23818, 426])).
% 4.34/4.59 tff(23820,plain,((~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(23821,plain,
% 4.34/4.59 (~r(z, s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23820, 987, 747, 426, 234, 1880, 165, 1272])).
% 4.34/4.59 tff(23822,plain,
% 4.34/4.59 (b(z, s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[403, 23821])).
% 4.34/4.59 tff(23823,plain,
% 4.34/4.59 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[19146, 3484, 987, 175, 3348, 3254])).
% 4.34/4.59 tff(23824,plain,
% 4.34/4.59 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[689, 23823])).
% 4.34/4.59 tff(23825,plain,
% 4.34/4.59 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[23526, 3484, 1272])).
% 4.34/4.59 tff(23826,plain,
% 4.34/4.59 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[17704, 23825, 1880, 2911, 5431])).
% 4.34/4.59 tff(23827,plain,
% 4.34/4.59 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[106, 23826])).
% 4.34/4.59 tff(23828,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[2959, 23827, 23824, 427])).
% 4.34/4.59 tff(23829,plain,((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.60 tff(23830,plain,
% 4.34/4.60 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[23829, 10966, 1880, 2911, 5431, 987, 175, 3348, 3254, 1272])).
% 4.34/4.60 tff(23831,plain,
% 4.34/4.60 (~b(s(s(s(s(z)))), elem!1)),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[3464, 23830, 5446])).
% 4.34/4.60 tff(23832,plain,
% 4.34/4.60 (r(s(s(s(s(z)))), elem!1)),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[1144, 23831, 23457])).
% 4.34/4.60 tff(23833,plain,
% 4.34/4.60 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.60 inference(modus_ponens,[status(thm)],[1147, 23547])).
% 4.34/4.60 tff(23834,plain,
% 4.34/4.60 ($false),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[10476, 23833])).
% 4.34/4.60 tff(23835,plain,((~r(s(s(s(s(z)))), elem!1)) | r(s(s(s(s(z)))), s(s(elem!1))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.60 tff(23836,plain,
% 4.34/4.60 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[23835, 23832, 1272])).
% 4.34/4.60 tff(23837,plain,
% 4.34/4.60 (~r(z, s(s(s(s(z)))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[10588, 23836, 165])).
% 4.34/4.60 tff(23838,plain,
% 4.34/4.60 (b(z, s(s(s(s(z)))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[391, 23837])).
% 4.34/4.60 tff(23839,plain,
% 4.34/4.60 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[11175, 23838, 175, 3348, 987, 747, 3254])).
% 4.34/4.60 tff(23840,plain,
% 4.34/4.60 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[11366, 23838, 486, 987, 175, 3348])).
% 4.34/4.60 tff(23841,plain,
% 4.34/4.60 ($false),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[106, 23840, 23839])).
% 4.34/4.60 tff(23842,plain,((~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.60 tff(23843,plain,
% 4.34/4.60 (~b(z, s(s(s(z))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[23842, 23822, 987, 23805, 747, 23471, 165, 1272, 1880, 23618, 23787])).
% 4.34/4.60 tff(23844,plain,
% 4.34/4.60 (r(z, s(s(s(z))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[149, 23843])).
% 4.34/4.60 tff(23845,plain,
% 4.34/4.60 (~r(elem!1, s(s(s(z))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[3328, 23844, 234])).
% 4.34/4.60 tff(23846,plain,
% 4.34/4.60 (b(elem!1, s(s(s(z))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[1160, 23845, 5483])).
% 4.34/4.60 tff(23847,plain,
% 4.34/4.60 (b(s(s(elem!1)), s(s(s(z))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[3458, 23846, 5446])).
% 4.34/4.60 tff(23848,plain,
% 4.34/4.60 (~b(s(s(s(z))), s(z))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[10954, 23847, 23471, 747, 23786])).
% 4.34/4.60 tff(23849,plain,
% 4.34/4.60 (r(s(s(s(z))), s(z))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[437, 23848])).
% 4.34/4.60 tff(23850,plain,
% 4.34/4.60 (~b(s(z), s(s(s(z))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[11197, 338, 747, 23822, 23618, 23805, 23471])).
% 4.34/4.60 tff(23851,plain,
% 4.34/4.60 (r(s(z), s(s(s(z))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[424, 23850])).
% 4.34/4.60 tff(23852,plain,
% 4.34/4.60 (~r(s(z), z)),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[414, 23844, 23851])).
% 4.34/4.60 tff(23853,plain,
% 4.34/4.60 (b(s(z), z)),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[26, 23852])).
% 4.34/4.60 tff(23854,plain,
% 4.34/4.60 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[3204, 23853, 23618, 23822, 23805])).
% 4.34/4.60 tff(23855,plain,
% 4.34/4.60 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[106, 23854])).
% 4.34/4.60 tff(23856,plain,
% 4.34/4.60 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[2959, 23855, 23849])).
% 4.34/4.60 tff(23857,plain,
% 4.34/4.60 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[689, 23856])).
% 4.34/4.60 tff(23858,plain,
% 4.34/4.60 (~b(s(s(s(s(z)))), elem!1)),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[2389, 23857, 23476, 23846, 987])).
% 4.34/4.60 tff(23859,plain,
% 4.34/4.60 (r(s(s(s(s(z)))), elem!1)),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[1144, 23858, 23457])).
% 4.34/4.60 tff(23860,plain,
% 4.34/4.60 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.34/4.60 inference(unit_resolution,[status(thm)],[23835, 23859, 1272])).
% 4.34/4.60 tff(23861,plain,
% 4.34/4.60 (~r(z, s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10588, 23860, 165])).
% 4.44/4.60 tff(23862,plain,
% 4.44/4.60 (b(z, s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[391, 23861])).
% 4.44/4.60 tff(23863,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3272, 338, 23822, 23853, 23618, 23805, 23862])).
% 4.44/4.60 tff(23864,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(23865,plain,
% 4.44/4.60 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23864, 426, 1272, 747, 234, 1880, 165])).
% 4.44/4.60 tff(23866,plain,
% 4.44/4.60 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1011, 23865])).
% 4.44/4.60 tff(23867,plain,
% 4.44/4.60 (s(s(s(s(s(elem!1))))) = s(s(s(elem!1)))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23459])).
% 4.44/4.60 tff(23868,plain,
% 4.44/4.60 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 4.44/4.60 inference(transitivity,[status(thm)],[23867, 1272])).
% 4.44/4.60 tff(23869,plain,
% 4.44/4.60 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23868])).
% 4.44/4.60 tff(23870,plain,
% 4.44/4.60 (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))),
% 4.44/4.60 inference(transitivity,[status(thm)],[23869, 1272])).
% 4.44/4.60 tff(23871,plain,
% 4.44/4.60 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23870])).
% 4.44/4.60 tff(23872,plain,
% 4.44/4.60 ((s(s(s(z))) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(z))) = s(s(elem!1)))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23870])).
% 4.44/4.60 tff(23873,plain,
% 4.44/4.60 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(z))) = s(s(s(s(s(s(elem!1)))))))),
% 4.44/4.60 inference(symmetry,[status(thm)],[23872])).
% 4.44/4.60 tff(23874,plain,
% 4.44/4.60 ((s(s(s(z))) = s(s(elem!1))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 4.44/4.60 inference(transitivity,[status(thm)],[23873, 7293])).
% 4.44/4.60 tff(23875,plain,
% 4.44/4.60 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z)))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23874])).
% 4.44/4.60 tff(23876,plain,
% 4.44/4.60 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23435, 23875])).
% 4.44/4.60 tff(23877,plain,
% 4.44/4.60 (b(s(s(s(s(z)))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[127, 15746])).
% 4.44/4.60 tff(23878,plain,
% 4.44/4.60 (r(elem!1, z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[846, 3977, 23501])).
% 4.44/4.60 tff(23879,plain,
% 4.44/4.60 (~r(elem!1, s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3397, 23878, 426])).
% 4.44/4.60 tff(23880,plain,
% 4.44/4.60 (b(elem!1, s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1160, 23879, 5483])).
% 4.44/4.60 tff(23881,plain,
% 4.44/4.60 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3458, 23880, 5446])).
% 4.44/4.60 tff(23882,plain,
% 4.44/4.60 (r(elem!1, z) <=> r(s(s(elem!1)), z)),
% 4.44/4.60 inference(monotonicity,[status(thm)],[4599])).
% 4.44/4.60 tff(23883,plain,
% 4.44/4.60 (r(s(s(elem!1)), z)),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23878, 23882])).
% 4.44/4.60 tff(23884,plain,
% 4.44/4.60 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1215, 82, 23883, 426])).
% 4.44/4.60 tff(23885,plain,
% 4.44/4.60 (b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1221, 21, 23435, 23884])).
% 4.44/4.60 tff(23886,plain,
% 4.44/4.60 (~b(s(z), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1230, 23883, 23435, 458, 426, 747])).
% 4.44/4.60 tff(23887,plain,
% 4.44/4.60 (r(s(z), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[424, 23886])).
% 4.44/4.60 tff(23888,plain,
% 4.44/4.60 (~b(s(s(elem!1)), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10954, 23885, 458, 747, 23881])).
% 4.44/4.60 tff(23889,plain,
% 4.44/4.60 (~b(elem!1, s(z))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23888, 4602])).
% 4.44/4.60 tff(23890,plain,
% 4.44/4.60 (r(elem!1, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[819, 23889, 23521])).
% 4.44/4.60 tff(23891,plain,
% 4.44/4.60 (~r(s(s(s(s(z)))), elem!1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1178, 108, 803])).
% 4.44/4.60 tff(23892,plain,
% 4.44/4.60 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1144, 23891, 1039])).
% 4.44/4.60 tff(23893,plain,
% 4.44/4.60 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3464, 23892, 1414])).
% 4.44/4.60 tff(23894,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[14592, 338, 747, 458, 7690, 3254, 3485, 23893])).
% 4.44/4.60 tff(23895,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~(elem!1 = s(s(elem!1)))) | (s(s(s(s(z)))) = elem!1) | (~r(elem!1, s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(23896,plain,
% 4.44/4.60 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23895, 23885, 458, 747, 23881, 5446, 23457, 23890, 23887])).
% 4.44/4.60 tff(23897,plain,
% 4.44/4.60 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[119, 23896])).
% 4.44/4.60 tff(23898,plain,
% 4.44/4.60 (r(s(s(elem!1)), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[784, 23888])).
% 4.44/4.60 tff(23899,plain,
% 4.44/4.60 (~r(s(z), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[792, 23898, 23883])).
% 4.44/4.60 tff(23900,plain,
% 4.44/4.60 (b(s(z), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[26, 23899])).
% 4.44/4.60 tff(23901,plain,
% 4.44/4.60 (r(s(elem!1), z) <=> r(s(s(elem!1)), z)),
% 4.44/4.60 inference(monotonicity,[status(thm)],[5472])).
% 4.44/4.60 tff(23902,plain,
% 4.44/4.60 (r(s(s(elem!1)), z) <=> r(s(elem!1), z)),
% 4.44/4.60 inference(symmetry,[status(thm)],[23901])).
% 4.44/4.60 tff(23903,plain,
% 4.44/4.60 (r(elem!1, z) <=> r(s(elem!1), z)),
% 4.44/4.60 inference(transitivity,[status(thm)],[23882, 23902])).
% 4.44/4.60 tff(23904,plain,
% 4.44/4.60 (r(s(elem!1), z)),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23878, 23903])).
% 4.44/4.60 tff(23905,plain,
% 4.44/4.60 (b(s(s(s(s(elem!1)))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23459])).
% 4.44/4.60 tff(23906,plain,
% 4.44/4.60 (b(s(s(elem!1)), s(z)) <=> b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.60 inference(symmetry,[status(thm)],[23905])).
% 4.44/4.60 tff(23907,plain,
% 4.44/4.60 ((~b(s(s(elem!1)), s(z))) <=> (~b(s(s(s(s(elem!1)))), s(z)))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23906])).
% 4.44/4.60 tff(23908,plain,
% 4.44/4.60 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23888, 23907])).
% 4.44/4.60 tff(23909,plain,
% 4.44/4.60 (r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1585, 23908])).
% 4.44/4.60 tff(23910,plain,
% 4.44/4.60 (~r(z, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4754, 23909, 4537, 23904])).
% 4.44/4.60 tff(23911,plain,
% 4.44/4.60 (b(z, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[403, 23910])).
% 4.44/4.60 tff(23912,plain,
% 4.44/4.60 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4106, 1038, 406])).
% 4.44/4.60 tff(23913,plain,
% 4.44/4.60 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[106, 23912])).
% 4.44/4.60 tff(23914,plain,
% 4.44/4.60 (~b(s(s(s(s(z)))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3204, 23913, 486, 1740, 2911])).
% 4.44/4.60 tff(23915,plain,
% 4.44/4.60 (r(s(s(s(s(z)))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[127, 23914])).
% 4.44/4.60 tff(23916,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10721, 82, 1038, 23915, 426])).
% 4.44/4.60 tff(23917,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(23918,plain,
% 4.44/4.60 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23917, 23911, 426, 23900, 23897, 23887])).
% 4.44/4.60 tff(23919,plain,
% 4.44/4.60 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1011, 23918])).
% 4.44/4.60 tff(23920,plain,
% 4.44/4.60 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23766, 338, 747, 458, 23919, 23885, 23881])).
% 4.44/4.60 tff(23921,plain,
% 4.44/4.60 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[366, 21, 23920, 23701])).
% 4.44/4.60 tff(23922,plain,
% 4.44/4.60 (r(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23921, 23700])).
% 4.44/4.60 tff(23923,plain,
% 4.44/4.60 ((s(elem!1) = s(z)) <=> (s(s(elem!1)) = s(z))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[5472])).
% 4.44/4.60 tff(23924,plain,
% 4.44/4.60 ((s(elem!1) = s(z)) <=> (s(z) = s(s(elem!1)))),
% 4.44/4.60 inference(transitivity,[status(thm)],[23923, 2535])).
% 4.44/4.60 tff(23925,plain,
% 4.44/4.60 ((s(z) = s(s(elem!1))) <=> (s(elem!1) = s(z))),
% 4.44/4.60 inference(symmetry,[status(thm)],[23924])).
% 4.44/4.60 tff(23926,plain,
% 4.44/4.60 ((~(s(z) = s(s(elem!1)))) <=> (~(s(elem!1) = s(z)))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23925])).
% 4.44/4.60 tff(23927,plain,
% 4.44/4.60 (~(s(elem!1) = s(z))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[738, 23926])).
% 4.44/4.60 tff(23928,plain,
% 4.44/4.60 (b(s(elem!1), s(z)) <=> b(s(s(elem!1)), s(z))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[5472])).
% 4.44/4.60 tff(23929,plain,
% 4.44/4.60 (b(s(s(elem!1)), s(z)) <=> b(s(elem!1), s(z))),
% 4.44/4.60 inference(symmetry,[status(thm)],[23928])).
% 4.44/4.60 tff(23930,plain,
% 4.44/4.60 ((~b(s(s(elem!1)), s(z))) <=> (~b(s(elem!1), s(z)))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23929])).
% 4.44/4.60 tff(23931,plain,
% 4.44/4.60 (~b(s(elem!1), s(z))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23888, 23930])).
% 4.44/4.60 tff(23932,plain,
% 4.44/4.60 (r(s(elem!1), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2070, 23931, 23927])).
% 4.44/4.60 tff(23933,plain,
% 4.44/4.60 ((~b(s(s(elem!1)), s(z))) <=> (~b(s(s(s(elem!1))), s(z)))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23458])).
% 4.44/4.60 tff(23934,plain,
% 4.44/4.60 (~b(s(s(s(elem!1))), s(z))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23888, 23933])).
% 4.44/4.60 tff(23935,plain,
% 4.44/4.60 (r(s(s(s(elem!1))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1990, 23934])).
% 4.44/4.60 tff(23936,plain,
% 4.44/4.60 ((~(s(s(s(z))) = s(s(elem!1)))) <=> (~(s(s(s(elem!1))) = s(s(s(z)))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23439])).
% 4.44/4.60 tff(23937,plain,
% 4.44/4.60 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23435, 23936])).
% 4.44/4.60 tff(23938,plain,
% 4.44/4.60 (~r(s(s(s(z))), elem!1)),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23884, 23474])).
% 4.44/4.60 tff(23939,plain,
% 4.44/4.60 (b(s(s(s(z))), elem!1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1110, 23938, 5470])).
% 4.44/4.60 tff(23940,plain,
% 4.44/4.60 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, s(s(elem!1)))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[1272])).
% 4.44/4.60 tff(23941,plain,
% 4.44/4.60 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.44/4.60 inference(symmetry,[status(thm)],[23940])).
% 4.44/4.60 tff(23942,plain,
% 4.44/4.60 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(s(elem!1))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[4598, 1275])).
% 4.44/4.60 tff(23943,plain,
% 4.44/4.60 (b(s(s(s(elem!1))), s(s(s(elem!1)))) <=> b(elem!1, s(s(elem!1)))),
% 4.44/4.60 inference(symmetry,[status(thm)],[23942])).
% 4.44/4.60 tff(23944,plain,
% 4.44/4.60 (b(s(s(s(elem!1))), s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.44/4.60 inference(transitivity,[status(thm)],[23943, 23941])).
% 4.44/4.60 tff(23945,plain,
% 4.44/4.60 ((~b(s(s(s(elem!1))), s(s(s(elem!1))))) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23944])).
% 4.44/4.60 tff(23946,plain,
% 4.44/4.60 (~b(elem!1, s(s(s(elem!1))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[10321, 23945])).
% 4.44/4.60 tff(23947,plain,
% 4.44/4.60 (~b(s(s(s(elem!1))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6374, 3977, 23501, 23946, 1353])).
% 4.44/4.60 tff(23948,plain,
% 4.44/4.60 (r(s(s(s(elem!1))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1387, 23947])).
% 4.44/4.60 tff(23949,plain,
% 4.44/4.60 (~r(s(s(s(s(z)))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3821, 23919, 23433, 23948, 23939, 23937, 23935, 23900, 23880, 23911, 23897])).
% 4.44/4.60 tff(23950,plain,
% 4.44/4.60 (b(s(s(s(s(z)))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[127, 23949])).
% 4.44/4.60 tff(23951,plain,
% 4.44/4.60 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3204, 23950, 23911, 23900, 23897])).
% 4.44/4.60 tff(23952,plain,
% 4.44/4.60 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[106, 23951])).
% 4.44/4.60 tff(23953,plain,
% 4.44/4.60 (~r(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4043, 23952, 23932])).
% 4.44/4.60 tff(23954,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23953, 23922])).
% 4.44/4.60 tff(23955,plain,(b(elem!1, z) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(23956,plain,
% 4.44/4.60 (b(elem!1, z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23955, 458, 747, 1272, 426, 1353])).
% 4.44/4.60 tff(23957,plain,
% 4.44/4.60 (b(s(s(elem!1)), z)),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23956, 23495])).
% 4.44/4.60 tff(23958,plain,
% 4.44/4.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(23959,plain,
% 4.44/4.60 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(23960,plain,
% 4.44/4.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23959])).
% 4.44/4.60 tff(23961,plain,
% 4.44/4.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.60 inference(transitivity,[status(thm)],[23960, 23958])).
% 4.44/4.60 tff(23962,plain,
% 4.44/4.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.60 inference(quant_inst,[status(thm)],[])).
% 4.44/4.60 tff(23963,plain,
% 4.44/4.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 4.44/4.60 tff(23964,plain,
% 4.44/4.60 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23963, 338, 23957, 747, 458, 23877, 3254])).
% 4.44/4.60 tff(23965,plain,
% 4.44/4.60 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[366, 21, 23964, 23701])).
% 4.44/4.60 tff(23966,plain,
% 4.44/4.60 (r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23965, 23699])).
% 4.44/4.60 tff(23967,plain,
% 4.44/4.60 (r(s(s(elem!1)), s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(s(z))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[1275])).
% 4.44/4.60 tff(23968,plain,
% 4.44/4.60 (r(s(s(s(elem!1))), s(s(s(z)))) <=> r(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.60 inference(symmetry,[status(thm)],[23967])).
% 4.44/4.60 tff(23969,plain,
% 4.44/4.60 (r(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[16335, 23968])).
% 4.44/4.60 tff(23970,plain,
% 4.44/4.60 (r(s(s(s(elem!1))), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.60 inference(symmetry,[status(thm)],[23699])).
% 4.44/4.60 tff(23971,assumption,(r(s(s(s(elem!1))), s(s(s(s(z)))))), introduced(assumption)).
% 4.44/4.60 tff(23972,plain,
% 4.44/4.60 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23971, 23970])).
% 4.44/4.60 tff(23973,plain,
% 4.44/4.60 ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[11053, 82, 1038])).
% 4.44/4.60 tff(23974,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23973, 23972, 23969])).
% 4.44/4.60 tff(23975,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(elem!1))), s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(23976,plain,
% 4.44/4.60 (~r(s(s(s(elem!1))), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23975, 23966, 1272, 1038])).
% 4.44/4.60 tff(23977,plain,
% 4.44/4.60 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(s(z))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23869])).
% 4.44/4.60 tff(23978,plain,
% 4.44/4.60 (r(s(s(s(elem!1))), s(s(s(z))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[9530, 23977])).
% 4.44/4.60 tff(23979,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[18169, 23978])).
% 4.44/4.60 tff(23980,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))) | r(s(s(s(elem!1))), s(s(s(z)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(23981,plain,
% 4.44/4.60 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23980, 23976, 1272])).
% 4.44/4.60 tff(23982,plain,
% 4.44/4.60 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7998, 23981, 23876])).
% 4.44/4.60 tff(23983,plain,
% 4.44/4.60 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[23982, 23871])).
% 4.44/4.60 tff(23984,plain,
% 4.44/4.60 (~b(s(z), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6876, 458, 747, 3254, 23983])).
% 4.44/4.60 tff(23985,plain,
% 4.44/4.60 (r(s(z), s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[424, 23984])).
% 4.44/4.60 tff(23986,plain,
% 4.44/4.60 (~b(s(s(elem!1)), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10954, 23983, 3254, 747, 458])).
% 4.44/4.60 tff(23987,plain,
% 4.44/4.60 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10934, 23986, 23434])).
% 4.44/4.60 tff(23988,plain,
% 4.44/4.60 (r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1585, 23987])).
% 4.44/4.60 tff(23989,plain,
% 4.44/4.60 (r(elem!1, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10928, 23988, 5446])).
% 4.44/4.60 tff(23990,plain,
% 4.44/4.60 (~r(z, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[8266, 23989, 234])).
% 4.44/4.60 tff(23991,plain,
% 4.44/4.60 (b(z, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[403, 23990])).
% 4.44/4.60 tff(23992,plain,
% 4.44/4.60 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23895, 23985, 3254, 747, 23989, 5446, 23457, 23983, 458])).
% 4.44/4.60 tff(23993,plain,
% 4.44/4.60 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[119, 23992])).
% 4.44/4.60 tff(23994,plain,
% 4.44/4.60 (~b(s(z), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[23917, 23993, 426, 1038, 23991, 23985])).
% 4.44/4.60 tff(23995,plain,
% 4.44/4.60 (r(s(z), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[26, 23994])).
% 4.44/4.60 tff(23996,plain,
% 4.44/4.60 (~r(z, s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[414, 23995, 23985])).
% 4.44/4.60 tff(23997,plain,
% 4.44/4.60 (b(z, s(s(s(z))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[149, 23996])).
% 4.44/4.60 tff(23998,plain,
% 4.44/4.60 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(23999,plain,
% 4.44/4.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[23998])).
% 4.44/4.60 tff(24000,plain,
% 4.44/4.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.44/4.60 inference(transitivity,[status(thm)],[23999, 19453])).
% 4.44/4.60 tff(24001,plain,
% 4.44/4.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)))),
% 4.44/4.60 inference(quant_inst,[status(thm)],[])).
% 4.44/4.60 tff(24002,plain,
% 4.44/4.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[24001, 24000])).
% 4.44/4.60 tff(24003,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[24002, 338, 23957, 747, 23997, 458, 3254, 23983])).
% 4.44/4.60 tff(24004,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, elem!1)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(24005,plain,
% 4.44/4.60 (~b(s(s(s(z))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[24004, 23471, 747, 426, 23866, 234, 1272, 1353])).
% 4.44/4.60 tff(24006,plain,
% 4.44/4.60 (r(s(s(s(z))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[437, 24005])).
% 4.44/4.60 tff(24007,plain,
% 4.44/4.60 (~r(s(z), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[432, 24006, 426])).
% 4.44/4.60 tff(24008,plain,
% 4.44/4.60 (b(s(z), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[26, 24007])).
% 4.44/4.60 tff(24009,plain,
% 4.44/4.60 (~r(s(s(s(s(z)))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10723, 23866, 426])).
% 4.44/4.60 tff(24010,plain,
% 4.44/4.60 (b(s(s(s(s(z)))), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[127, 24009])).
% 4.44/4.60 tff(24011,plain,
% 4.44/4.60 (~r(z, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2908, 108, 427])).
% 4.44/4.60 tff(24012,plain,
% 4.44/4.60 (b(z, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[403, 24011])).
% 4.44/4.60 tff(24013,plain,
% 4.44/4.60 (~r(elem!1, s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10390, 108, 427, 1050, 1039, 2380])).
% 4.44/4.60 tff(24014,plain,
% 4.44/4.60 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10928, 24013, 1414])).
% 4.44/4.60 tff(24015,plain,
% 4.44/4.60 (b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[1585, 24014])).
% 4.44/4.60 tff(24016,plain,
% 4.44/4.60 (b(s(s(elem!1)), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10934, 24015, 1494])).
% 4.44/4.60 tff(24017,plain,
% 4.44/4.60 (~b(s(s(elem!1)), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6963, 24016, 747, 18483, 24012])).
% 4.44/4.60 tff(24018,plain,
% 4.44/4.60 (~r(s(s(elem!1)), z)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[10357, 24016, 871, 426, 11485, 747, 6752])).
% 4.44/4.60 tff(24019,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[800, 24018, 24017])).
% 4.44/4.60 tff(24020,plain,((~r(s(s(s(s(z)))), s(z))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | r(s(s(s(z))), s(s(elem!1))) | (~(s(s(elem!1)) = s(s(s(s(elem!1)))))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | (elem!1 = s(s(s(z)))) | (s(s(s(s(z)))) = elem!1) | (~b(s(s(s(z))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(24021,plain,
% 4.44/4.61 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24020, 426, 23435, 747, 23470, 23434, 5446, 24006, 5483, 23457, 23476, 23866])).
% 4.44/4.61 tff(24022,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[119, 24021])).
% 4.44/4.61 tff(24023,plain,
% 4.44/4.61 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[10928, 9850, 5446])).
% 4.44/4.61 tff(24024,plain,
% 4.44/4.61 (b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1585, 24023])).
% 4.44/4.61 tff(24025,plain,
% 4.44/4.61 (b(s(s(elem!1)), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[10934, 24024, 23434])).
% 4.44/4.61 tff(24026,plain,
% 4.44/4.61 (b(elem!1, s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[819, 9850, 23521])).
% 4.44/4.61 tff(24027,plain,
% 4.44/4.61 (b(s(s(s(elem!1))), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[12610, 24026, 23433])).
% 4.44/4.61 tff(24028,plain,
% 4.44/4.61 (~r(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[23812, 24027, 1880, 2911, 1731, 165, 1272])).
% 4.44/4.61 tff(24029,plain,
% 4.44/4.61 (b(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[391, 24028])).
% 4.44/4.61 tff(24030,plain,
% 4.44/4.61 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[11153, 24029, 2911, 175, 1740])).
% 4.44/4.61 tff(24031,plain,
% 4.44/4.61 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[106, 24030])).
% 4.44/4.61 tff(24032,plain,
% 4.44/4.61 (~r(s(z), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4106, 24031, 1038])).
% 4.44/4.61 tff(24033,plain,
% 4.44/4.61 (b(s(z), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[424, 24032])).
% 4.44/4.61 tff(24034,plain,
% 4.44/4.61 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7851, 24033, 24025, 3254, 747])).
% 4.44/4.61 tff(24035,plain,
% 4.44/4.61 (~b(elem!1, s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3458, 24034, 5446])).
% 4.44/4.61 tff(24036,plain,
% 4.44/4.61 (r(elem!1, s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1160, 24035, 5483])).
% 4.44/4.61 tff(24037,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24038,plain,
% 4.44/4.61 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24039,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[24038])).
% 4.44/4.61 tff(24040,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.61 inference(transitivity,[status(thm)],[24039, 24037])).
% 4.44/4.61 tff(24041,plain,
% 4.44/4.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(24042,plain,
% 4.44/4.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24041, 24040])).
% 4.44/4.61 tff(24043,plain,
% 4.44/4.61 ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24042, 338, 747, 24025, 2911, 3254])).
% 4.44/4.61 tff(24044,plain,
% 4.44/4.61 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24043, 24033])).
% 4.44/4.61 tff(24045,plain,
% 4.44/4.61 (~b(s(s(s(s(z)))), elem!1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3464, 24044, 5446])).
% 4.44/4.61 tff(24046,plain,
% 4.44/4.61 (r(s(s(s(s(z)))), elem!1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1144, 24045, 23457])).
% 4.44/4.61 tff(24047,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1152, 24046, 24036, 1038])).
% 4.44/4.61 tff(24048,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(24049,plain,
% 4.44/4.61 (~r(z, s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24048, 23866, 747, 24022, 23471, 24010, 24008, 1880, 165, 1272, 234])).
% 4.44/4.61 tff(24050,plain,
% 4.44/4.61 (b(z, s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[403, 24049])).
% 4.44/4.61 tff(24051,plain,
% 4.44/4.61 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3204, 24050, 24008, 24022, 24010])).
% 4.44/4.61 tff(24052,plain,
% 4.44/4.61 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[106, 24051])).
% 4.44/4.61 tff(24053,plain,
% 4.44/4.61 (~r(s(z), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4106, 72, 1038])).
% 4.44/4.61 tff(24054,plain,
% 4.44/4.61 (b(s(z), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[424, 24053])).
% 4.44/4.61 tff(24055,plain,
% 4.44/4.61 (~b(s(s(elem!1)), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7851, 24054, 3485, 3254, 747])).
% 4.44/4.61 tff(24056,plain,
% 4.44/4.61 (r(s(s(elem!1)), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[784, 24055])).
% 4.44/4.61 tff(24057,plain,
% 4.44/4.61 (r(s(elem!1), s(z))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24056, 23673])).
% 4.44/4.61 tff(24058,plain,
% 4.44/4.61 (~r(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4043, 24057, 72])).
% 4.44/4.61 tff(24059,plain,
% 4.44/4.61 (r(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[370, 23700])).
% 4.44/4.61 tff(24060,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3665, 24059])).
% 4.44/4.61 tff(24061,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | r(s(elem!1), s(s(s(s(z))))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(24062,plain,
% 4.44/4.61 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24061, 24058, 1272])).
% 4.44/4.61 tff(24063,plain,
% 4.44/4.61 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3262, 8668, 2911, 3254, 486, 175])).
% 4.44/4.61 tff(24064,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[366, 21, 24063, 23701, 24062])).
% 4.44/4.61 tff(24065,plain,((~r(s(z), s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(24066,plain,
% 4.44/4.61 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24065, 24052, 1272, 23471, 24022, 24010, 24050, 747, 24006, 23866])).
% 4.44/4.61 tff(24067,plain,
% 4.44/4.61 (~b(elem!1, s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3458, 24066, 5446])).
% 4.44/4.61 tff(24068,plain,
% 4.44/4.61 (r(elem!1, s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1160, 24067, 5483])).
% 4.44/4.61 tff(24069,plain,
% 4.44/4.61 (~r(elem!1, z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3397, 24068, 426])).
% 4.44/4.61 tff(24070,plain,
% 4.44/4.61 (~r(s(s(s(elem!1))), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3385, 24069, 23433])).
% 4.44/4.61 tff(24071,plain,
% 4.44/4.61 (~r(s(z), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[23917, 24050, 426, 23866, 24008, 24022])).
% 4.44/4.61 tff(24072,plain,
% 4.44/4.61 (b(s(z), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[424, 24071])).
% 4.44/4.61 tff(24073,plain,
% 4.44/4.61 (~r(z, s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3328, 24068, 234])).
% 4.44/4.61 tff(24074,plain,
% 4.44/4.61 (b(z, s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[149, 24073])).
% 4.44/4.61 tff(24075,plain,
% 4.44/4.61 (~b(s(s(s(elem!1))), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[10715, 24074, 24050, 24072, 1880, 24008])).
% 4.44/4.61 tff(24076,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1387, 24075, 24070])).
% 4.44/4.61 tff(24077,plain,((~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, elem!1)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(24078,plain,
% 4.44/4.61 (~r(s(s(s(z))), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24077, 1880, 234, 1272, 747, 165, 1353])).
% 4.44/4.61 tff(24079,plain,
% 4.44/4.61 (b(s(s(s(z))), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[135, 24078])).
% 4.44/4.61 tff(24080,plain,
% 4.44/4.61 (r(s(s(s(s(z)))), s(s(s(elem!1)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[1272])).
% 4.44/4.61 tff(24081,plain,
% 4.44/4.61 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.61 inference(symmetry,[status(thm)],[24080])).
% 4.44/4.61 tff(24082,plain,
% 4.44/4.61 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.61 inference(transitivity,[status(thm)],[23547, 24081])).
% 4.44/4.61 tff(24083,plain,
% 4.44/4.61 (r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[1147, 24082])).
% 4.44/4.61 tff(24084,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3763, 24083])).
% 4.44/4.61 tff(24085,plain,((~r(s(s(s(s(z)))), elem!1)) | r(s(s(s(s(z)))), s(s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(24086,plain,
% 4.44/4.61 (r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24085, 1147, 1272])).
% 4.44/4.61 tff(24087,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24088,plain,
% 4.44/4.61 (((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24089,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[24088])).
% 4.44/4.61 tff(24090,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.61 inference(transitivity,[status(thm)],[24089, 24087])).
% 4.44/4.61 tff(24091,plain,
% 4.44/4.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))))),
% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(24092,plain,
% 4.44/4.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24091, 24090])).
% 4.44/4.61 tff(24093,plain,
% 4.44/4.61 ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24092, 82, 1353])).
% 4.44/4.61 tff(24094,plain,
% 4.44/4.61 (~r(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24093, 10873])).
% 4.44/4.61 tff(24095,plain,
% 4.44/4.61 ((z = s(s(s(s(z))))) | b(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[389, 21, 24094])).
% 4.44/4.61 tff(24096,plain,
% 4.44/4.61 (b(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24095, 4049])).
% 4.44/4.61 tff(24097,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24098,plain,
% 4.44/4.61 (((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24099,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[24098])).
% 4.44/4.61 tff(24100,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.61 inference(transitivity,[status(thm)],[24099, 24097])).
% 4.44/4.61 tff(24101,plain,
% 4.44/4.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)))),
% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(24102,plain,
% 4.44/4.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24101, 24100])).
% 4.44/4.61 tff(24103,plain,
% 4.44/4.61 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24102, 82, 1353])).
% 4.44/4.61 tff(24104,plain,
% 4.44/4.61 (~r(s(s(s(s(z)))), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24103, 10873])).
% 4.44/4.61 tff(24105,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[127, 24104])).
% 4.44/4.61 tff(24106,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[10974, 338, 1741, 3348, 987, 24105, 24096])).
% 4.44/4.61 tff(24107,plain,((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(24108,plain,
% 4.44/4.61 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24107, 24086, 1353, 1741, 3348])).
% 4.44/4.61 tff(24109,plain,
% 4.44/4.61 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[23835, 1147, 1272])).
% 4.44/4.61 tff(24110,plain,
% 4.44/4.61 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18334, 24109, 163])).
% 4.44/4.61 tff(24111,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1011, 24110, 24108])).
% 4.44/4.61 tff(24112,plain,((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(24113,plain,
% 4.44/4.61 (~r(s(s(s(s(z)))), elem!1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24112, 163, 1353, 24079, 3348, 1272])).
% 4.44/4.61 tff(24114,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1144, 24113, 23457])).
% 4.44/4.61 tff(24115,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3464, 24114, 5446])).
% 4.44/4.61 tff(24116,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[23526, 24115, 1272])).
% 4.44/4.61 tff(24117,plain,
% 4.44/4.61 (r(s(s(s(elem!1))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[1272])).
% 4.44/4.61 tff(24118,plain,
% 4.44/4.61 (r(s(s(elem!1)), s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 4.44/4.61 inference(symmetry,[status(thm)],[24117])).
% 4.44/4.61 tff(24119,plain,
% 4.44/4.61 ((~r(s(s(elem!1)), s(z))) <=> (~r(s(s(s(elem!1))), s(z)))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[24118])).
% 4.44/4.61 tff(24120,plain,
% 4.44/4.61 (~r(s(s(elem!1)), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[14054, 427, 163])).
% 4.44/4.61 tff(24121,plain,
% 4.44/4.61 (~r(s(s(s(elem!1))), s(z))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 4.44/4.61 tff(24122,plain,
% 4.44/4.61 (b(s(s(s(elem!1))), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1990, 24121])).
% 4.44/4.61 tff(24123,plain,
% 4.44/4.61 ((~r(s(s(elem!1)), s(z))) <=> (~r(s(elem!1), s(z)))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[23673])).
% 4.44/4.61 tff(24124,plain,
% 4.44/4.61 (~r(s(elem!1), s(z))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24120, 24123])).
% 4.44/4.61 tff(24125,plain,
% 4.44/4.61 (b(s(elem!1), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[2070, 24124, 23927])).
% 4.44/4.61 tff(24126,plain,
% 4.44/4.61 (b(s(s(elem!1)), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[784, 24120])).
% 4.44/4.61 tff(24127,plain,
% 4.44/4.61 (~b(s(s(s(s(z)))), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[22297, 406, 1741, 3348, 72, 427])).
% 4.44/4.61 tff(24128,plain,
% 4.44/4.61 (r(s(s(s(s(z)))), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[127, 24127])).
% 4.44/4.61 tff(24129,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1144, 8418, 23457])).
% 4.44/4.61 tff(24130,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3464, 24129, 5446])).
% 4.44/4.61 tff(24131,plain,
% 4.44/4.61 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4106, 406, 72])).
% 4.44/4.61 tff(24132,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1011, 24131])).
% 4.44/4.61 tff(24133,plain,
% 4.44/4.61 (r(elem!1, s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.61 inference(transitivity,[status(thm)],[23677, 23970])).
% 4.44/4.61 tff(24134,plain,
% 4.44/4.61 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[2908, 1731, 427])).
% 4.44/4.61 tff(24135,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[119, 24134])).
% 4.44/4.61 tff(24136,plain,
% 4.44/4.61 (r(elem!1, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8433, 24135, 23433, 1880, 23457, 24027, 8418])).
% 4.44/4.61 tff(24137,plain,
% 4.44/4.61 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24136, 24133])).
% 4.44/4.61 tff(24138,plain,
% 4.44/4.61 (~r(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[11465, 1731, 72])).
% 4.44/4.61 tff(24139,plain,
% 4.44/4.61 (b(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[391, 24138])).
% 4.44/4.61 tff(24140,plain,
% 4.44/4.61 (~r(elem!1, z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8435, 24027, 23433, 1880, 23457, 24128, 24135])).
% 4.44/4.61 tff(24141,plain,
% 4.44/4.61 (b(elem!1, z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[846, 24140, 23501])).
% 4.44/4.61 tff(24142,plain,
% 4.44/4.61 (b(s(s(elem!1)), z)),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[1131, 23495])).
% 4.44/4.61 tff(24143,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[795, 24142])).
% 4.44/4.61 tff(24144,plain,((~b(elem!1, z)) | b(s(s(elem!1)), z) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(24145,plain,
% 4.44/4.61 (b(s(s(elem!1)), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24144, 24141, 1272])).
% 4.44/4.61 tff(24146,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24147,plain,
% 4.44/4.61 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z)))))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24148,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[24147])).
% 4.44/4.61 tff(24149,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.61 inference(transitivity,[status(thm)],[24148, 24146])).
% 4.44/4.61 tff(24150,plain,
% 4.44/4.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(24151,plain,
% 4.44/4.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 4.44/4.61 tff(24152,plain,
% 4.44/4.61 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24151, 338, 24145, 1741, 3348, 24132, 24139])).
% 4.44/4.61 tff(24153,plain,
% 4.44/4.61 (r(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[1211, 21, 24152, 23488])).
% 4.44/4.61 tff(24154,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1)))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24155,plain,
% 4.44/4.61 (((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1))))) <=> ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1)))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24156,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1))))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[24155])).
% 4.44/4.61 tff(24157,plain,
% 4.44/4.61 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1)))))),
% 4.44/4.61 inference(transitivity,[status(thm)],[24156, 24154])).
% 4.44/4.61 tff(24158,plain,
% 4.44/4.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1)))))),
% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(24159,plain,
% 4.44/4.61 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(z)), s(s(elem!1))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[24158, 24157])).
% 4.44/4.61 tff(24160,plain,
% 4.44/4.61 (~r(s(s(z)), s(s(elem!1)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[24159, 82, 487, 6890])).
% 4.44/4.61 tff(24161,plain,
% 4.44/4.61 (b(s(s(z)), s(s(elem!1)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[11262, 21, 11259, 24160])).
% 4.44/4.61 tff(24162,plain,
% 4.44/4.61 (b(s(z), s(s(z)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[455, 18534])).
% 4.44/4.61 tff(24163,plain,
% 4.44/4.61 (b(s(s(z)), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[472, 3883])).
% 4.44/4.61 tff(24164,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24165,plain,
% 4.44/4.61 (((~b(s(s(z)), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(elem!1))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(24166,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1))))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[24165])).
% 4.44/4.61 tff(24167,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.44/4.62 inference(transitivity,[status(thm)],[24166, 24164])).
% 4.44/4.62 tff(24168,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.44/4.62 inference(quant_inst,[status(thm)],[])).
% 4.44/4.62 tff(24169,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1))))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24168, 24167])).
% 4.44/4.62 tff(24170,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24169, 338, 747, 24163, 764, 24162, 24161])).
% 4.44/4.62 tff(24171,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (s(s(z)) = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(24172,plain,
% 4.44/4.62 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24171, 24153, 406, 23599, 747, 24025])).
% 4.44/4.62 tff(24173,plain,
% 4.44/4.62 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[534, 24172])).
% 4.44/4.62 tff(24174,plain,
% 4.44/4.62 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[3914, 24173, 1741, 24128, 3348])).
% 4.44/4.62 tff(24175,plain,
% 4.44/4.62 (b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[68, 24174])).
% 4.44/4.62 tff(24176,plain,
% 4.44/4.62 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[13638, 24175, 8668, 24173, 24132])).
% 4.44/4.62 tff(24177,plain,
% 4.44/4.62 ((s(s(z)) = s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[597, 21, 24176])).
% 4.44/4.62 tff(24178,plain,
% 4.44/4.62 (r(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24177, 61])).
% 4.44/4.62 tff(24179,plain,
% 4.44/4.62 (~r(s(s(z)), s(s(elem!1)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[18566, 82, 24178, 24137])).
% 4.44/4.62 tff(24180,plain,
% 4.44/4.62 (b(s(s(z)), s(s(elem!1)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[11262, 21, 23599, 24179])).
% 4.44/4.62 tff(24181,plain,
% 4.44/4.62 (~r(s(z), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[589, 82, 72, 24178])).
% 4.44/4.62 tff(24182,plain,
% 4.44/4.62 (b(s(z), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[455, 24181])).
% 4.44/4.62 tff(24183,plain,
% 4.44/4.62 (~r(s(s(z)), s(z))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[581, 82, 72, 24178])).
% 4.44/4.62 tff(24184,plain,
% 4.44/4.62 (b(s(s(z)), s(z))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[472, 24183])).
% 4.44/4.62 tff(24185,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24169, 338, 747, 24184, 24025, 24182, 24180])).
% 4.44/4.62 tff(24186,plain,((~r(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | r(s(s(s(s(z)))), elem!1) | (~r(s(s(s(z))), s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(24187,plain,
% 4.44/4.62 (~r(z, s(z))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24186, 406, 72, 1741, 3348, 747, 1272, 1880, 8418, 427, 234])).
% 4.44/4.62 tff(24188,plain,
% 4.44/4.62 (b(z, s(z))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[403, 24187])).
% 4.44/4.62 tff(24189,plain,
% 4.44/4.62 (~r(s(z), z)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[2977, 24128, 72])).
% 4.44/4.62 tff(24190,plain,
% 4.44/4.62 (b(s(z), z)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[26, 24189])).
% 4.44/4.62 tff(24191,plain,
% 4.44/4.62 (~b(s(s(elem!1)), z)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[6963, 24190, 747, 764, 24188])).
% 4.44/4.62 tff(24192,plain,
% 4.44/4.62 (r(s(s(elem!1)), z)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[800, 24191])).
% 4.44/4.62 tff(24193,plain,
% 4.44/4.62 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[14044, 24192, 24128])).
% 4.44/4.62 tff(24194,plain,
% 4.44/4.62 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[366, 21, 23701, 24193])).
% 4.44/4.62 tff(24195,plain,
% 4.44/4.62 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[11402, 24194, 8668, 24132, 24130])).
% 4.44/4.62 tff(24196,plain,
% 4.44/4.62 (r(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[1211, 21, 24195, 23488])).
% 4.44/4.62 tff(24197,plain,
% 4.44/4.62 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24171, 24196, 406, 23599, 747, 764])).
% 4.44/4.62 tff(24198,plain,
% 4.44/4.62 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[534, 24197])).
% 4.44/4.62 tff(24199,plain,
% 4.44/4.62 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[3914, 24198, 1741, 24128, 3348])).
% 4.44/4.62 tff(24200,plain,
% 4.44/4.62 (b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[68, 24199])).
% 4.44/4.62 tff(24201,plain,
% 4.44/4.62 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[13638, 24200, 8668, 24198, 24132])).
% 4.44/4.62 tff(24202,plain,
% 4.44/4.62 ((s(s(z)) = s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[597, 21, 24201])).
% 4.44/4.62 tff(24203,plain,
% 4.44/4.62 (r(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24202, 61])).
% 4.44/4.62 tff(24204,plain,
% 4.44/4.62 (~r(s(z), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[589, 82, 72, 24203])).
% 4.44/4.62 tff(24205,plain,
% 4.44/4.62 (b(s(z), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[455, 24204])).
% 4.44/4.62 tff(24206,plain,
% 4.44/4.62 (~r(s(s(z)), s(z))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[581, 82, 72, 24203])).
% 4.44/4.62 tff(24207,plain,
% 4.44/4.62 (b(s(s(z)), s(z))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[472, 24206])).
% 4.44/4.62 tff(24208,plain,
% 4.44/4.62 (~b(s(s(elem!1)), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[11079, 24207, 747, 764, 24205])).
% 4.44/4.62 tff(24209,plain,
% 4.44/4.62 (s(s(elem!1)) = elem!1),
% 4.44/4.62 inference(transitivity,[status(thm)],[1275, 4537])).
% 4.44/4.62 tff(24210,plain,
% 4.44/4.62 (b(s(s(elem!1)), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[24209])).
% 4.44/4.62 tff(24211,plain,
% 4.44/4.62 (b(elem!1, s(s(z))) <=> b(s(s(elem!1)), s(s(z)))),
% 4.44/4.62 inference(symmetry,[status(thm)],[24210])).
% 4.44/4.62 tff(24212,plain,
% 4.44/4.62 (b(s(s(elem!1)), s(s(z)))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[3516, 24211])).
% 4.44/4.62 tff(24213,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[22188, 24212])).
% 4.44/4.62 tff(24214,plain,(b(s(s(elem!1)), s(s(z))) | (~b(elem!1, s(s(z)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(24215,plain,
% 4.44/4.62 (~b(elem!1, s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24214, 24208, 1272])).
% 4.44/4.62 tff(24216,plain,
% 4.44/4.62 (r(elem!1, s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[2442, 24215, 5623])).
% 4.44/4.62 tff(24217,plain,
% 4.44/4.62 (r(s(s(elem!1)), s(s(z))) <=> r(elem!1, s(s(z)))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[24209])).
% 4.44/4.62 tff(24218,plain,
% 4.44/4.62 (r(elem!1, s(s(z))) <=> r(s(s(elem!1)), s(s(z)))),
% 4.44/4.62 inference(symmetry,[status(thm)],[24217])).
% 4.44/4.62 tff(24219,plain,
% 4.44/4.62 (r(s(s(elem!1)), s(s(z)))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[3547, 24218])).
% 4.44/4.62 tff(24220,plain,
% 4.44/4.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24221,plain,
% 4.44/4.62 (((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(z)))))) <=> ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24222,plain,
% 4.44/4.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(z))), s(s(z))))))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[24221])).
% 4.44/4.62 tff(24223,plain,
% 4.44/4.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.44/4.62 inference(transitivity,[status(thm)],[24222, 24220])).
% 4.44/4.62 tff(24224,plain,
% 4.44/4.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 4.44/4.62 inference(quant_inst,[status(thm)],[])).
% 4.44/4.62 tff(24225,plain,
% 4.44/4.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(z))), s(s(z))))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24224, 24223])).
% 4.44/4.62 tff(24226,plain,
% 4.44/4.62 (~r(s(s(elem!1)), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24225, 82, 6890, 2464])).
% 4.44/4.62 tff(24227,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24226, 24219])).
% 4.44/4.62 tff(24228,plain,((~r(elem!1, s(s(z)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(s(z))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(24229,plain,
% 4.44/4.62 (~r(s(s(s(z))), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24228, 24216, 24196, 1272])).
% 4.44/4.62 tff(24230,plain,
% 4.44/4.62 (b(s(s(s(z))), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[639, 24229])).
% 4.44/4.62 tff(24231,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24232,plain,
% 4.44/4.62 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24233,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[24232])).
% 4.44/4.62 tff(24234,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.62 inference(transitivity,[status(thm)],[24233, 24231])).
% 4.44/4.62 tff(24235,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.62 inference(quant_inst,[status(thm)],[])).
% 4.44/4.62 tff(24236,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 4.44/4.62 tff(24237,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24236, 338, 24198, 24230, 24132, 8668, 24200])).
% 4.44/4.62 tff(24238,plain,((~r(s(z), s(s(s(z))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(elem!1))))) | r(s(s(s(s(z)))), elem!1) | (~r(s(s(s(z))), s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(24239,plain,
% 4.44/4.62 (~r(s(z), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24238, 72, 747, 764, 1272, 24079, 3348, 1880, 8418, 427, 234])).
% 4.44/4.62 tff(24240,plain,
% 4.44/4.62 (b(s(z), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[424, 24239])).
% 4.44/4.62 tff(24241,plain,
% 4.44/4.62 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[23526, 24130, 1272])).
% 4.44/4.62 tff(24242,plain,
% 4.44/4.62 (b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[10885, 24241, 1282])).
% 4.44/4.62 tff(24243,plain,
% 4.44/4.62 (~b(s(z), z)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[5576, 2911, 3663, 3084, 3348, 457])).
% 4.44/4.62 tff(24244,plain,
% 4.44/4.62 (r(s(z), z)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[26, 24243])).
% 4.44/4.62 tff(24245,plain,
% 4.44/4.62 (~r(s(s(s(s(z)))), elem!1)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24085, 3763, 1272])).
% 4.44/4.62 tff(24246,plain,
% 4.44/4.62 (r(elem!1, s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[8433, 24245, 23433, 1880, 23457, 5431, 2911])).
% 4.44/4.62 tff(24247,plain,
% 4.44/4.62 (r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24246, 23677])).
% 4.44/4.62 tff(24248,plain,
% 4.44/4.62 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[1431, 5446])).
% 4.44/4.62 tff(24249,plain,
% 4.44/4.62 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[3768, 3763, 24248])).
% 4.44/4.62 tff(24250,plain,
% 4.44/4.62 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[17704, 24249, 1880, 5431, 2911])).
% 4.44/4.62 tff(24251,plain,
% 4.44/4.62 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[106, 24250])).
% 4.44/4.62 tff(24252,plain,
% 4.44/4.62 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[2959, 24251, 427])).
% 4.44/4.62 tff(24253,plain,
% 4.44/4.62 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[689, 24252])).
% 4.44/4.62 tff(24254,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24255,plain,
% 4.44/4.62 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24256,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[24255])).
% 4.44/4.62 tff(24257,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.62 inference(transitivity,[status(thm)],[24256, 24254])).
% 4.44/4.62 tff(24258,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.44/4.62 inference(quant_inst,[status(thm)],[])).
% 4.44/4.62 tff(24259,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24258, 24257])).
% 4.44/4.62 tff(24260,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24259, 338, 457, 1741, 987, 2911, 539, 175])).
% 4.44/4.62 tff(24261,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(24262,plain,
% 4.44/4.62 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24261, 24253, 1741, 2911, 457, 175])).
% 4.44/4.62 tff(24263,plain,
% 4.44/4.62 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[1011, 24262])).
% 4.44/4.62 tff(24264,plain,
% 4.44/4.62 (~r(s(s(s(elem!1))), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[23975, 24263, 1272, 24247])).
% 4.44/4.62 tff(24265,plain,
% 4.44/4.62 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[23980, 24264, 1272])).
% 4.44/4.62 tff(24266,plain,
% 4.44/4.62 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[7998, 24265, 23876])).
% 4.44/4.62 tff(24267,plain,
% 4.44/4.62 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24266, 23871])).
% 4.44/4.62 tff(24268,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24269,plain,
% 4.44/4.62 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24270,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[24269])).
% 4.44/4.62 tff(24271,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.62 inference(transitivity,[status(thm)],[24270, 24268])).
% 4.44/4.62 tff(24272,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))))),
% 4.44/4.62 inference(quant_inst,[status(thm)],[])).
% 4.44/4.62 tff(24273,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24272, 24271])).
% 4.44/4.62 tff(24274,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24273, 338, 457, 1741, 764, 24253, 175, 24267])).
% 4.44/4.62 tff(24275,plain,(r(s(s(s(s(z)))), s(s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(24276,plain,
% 4.44/4.62 (r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24275, 457, 1741, 764, 175, 1272, 2911, 1880, 5431, 427])).
% 4.44/4.62 tff(24277,plain,
% 4.44/4.62 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24276, 24080])).
% 4.44/4.62 tff(24278,plain,
% 4.44/4.62 (~r(z, s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[10586, 82, 165, 24277])).
% 4.44/4.62 tff(24279,plain,
% 4.44/4.62 (b(z, s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[391, 24278])).
% 4.44/4.62 tff(24280,plain,
% 4.44/4.62 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24107, 24276, 1353, 3348, 1741])).
% 4.44/4.62 tff(24281,plain,
% 4.44/4.62 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[1011, 24280])).
% 4.44/4.62 tff(24282,plain,
% 4.44/4.62 (r(s(s(s(s(z)))), s(s(s(elem!1)))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.44/4.62 inference(transitivity,[status(thm)],[24080, 23720])).
% 4.44/4.62 tff(24283,plain,
% 4.44/4.62 (r(s(s(s(s(z)))), elem!1)),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24276, 24282])).
% 4.44/4.62 tff(24284,plain,
% 4.44/4.62 (~r(elem!1, s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[1152, 24283, 24281])).
% 4.44/4.62 tff(24285,plain,
% 4.44/4.62 (b(elem!1, s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[1160, 24284, 5483])).
% 4.44/4.62 tff(24286,plain,
% 4.44/4.62 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[3458, 24285, 5446])).
% 4.44/4.62 tff(24287,plain,
% 4.44/4.62 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[7851, 24286, 764, 457, 747])).
% 4.44/4.62 tff(24288,plain,
% 4.44/4.62 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[23452, 24287, 1282, 1272])).
% 4.44/4.62 tff(24289,plain,
% 4.44/4.62 (r(s(s(s(z))), s(s(s(elem!1))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[3784, 24288, 23442])).
% 4.44/4.62 tff(24290,plain,
% 4.44/4.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24291,plain,
% 4.44/4.62 (((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24292,plain,
% 4.44/4.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[24291])).
% 4.44/4.62 tff(24293,plain,
% 4.44/4.62 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1))))))),
% 4.44/4.62 inference(transitivity,[status(thm)],[24292, 24290])).
% 4.44/4.62 tff(24294,plain,
% 4.44/4.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.62 inference(quant_inst,[status(thm)],[])).
% 4.44/4.62 tff(24295,plain,
% 4.44/4.62 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 4.44/4.62 tff(24296,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24295, 82, 911, 10873, 8483])).
% 4.44/4.62 tff(24297,plain,((~r(s(s(s(z))), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(24298,plain,
% 4.44/4.62 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[24297, 24289, 24276])).
% 4.44/4.62 tff(24299,plain,
% 4.44/4.62 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[689, 24298])).
% 4.44/4.62 tff(24300,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(24301,plain,
% 4.44/4.62 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(24302,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.44/4.63 inference(monotonicity,[status(thm)],[24301])).
% 4.44/4.63 tff(24303,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.63 inference(transitivity,[status(thm)],[24302, 24300])).
% 4.44/4.63 tff(24304,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.63 inference(quant_inst,[status(thm)],[])).
% 4.44/4.63 tff(24305,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.44/4.63 inference(modus_ponens,[status(thm)],[24304, 24303])).
% 4.44/4.63 tff(24306,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24305, 338, 1741, 3348, 24299, 175, 24279])).
% 4.44/4.63 tff(24307,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(24308,plain,
% 4.44/4.63 (~b(s(s(s(s(z)))), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24307, 2911, 1741, 3348, 1272, 764, 747, 165, 1353, 457, 1880, 5431, 427])).
% 4.44/4.63 tff(24309,plain,
% 4.44/4.63 (r(s(s(s(s(z)))), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[127, 24308])).
% 4.44/4.63 tff(24310,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2977, 24309, 24244, 72])).
% 4.44/4.63 tff(24311,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(24312,plain,
% 4.44/4.63 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24311, 72, 24079, 3348, 1272, 764, 747, 165, 1353, 24240, 1880, 5431, 427, 24242, 3084])).
% 4.44/4.63 tff(24313,plain,
% 4.44/4.63 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[119, 24312])).
% 4.44/4.63 tff(24314,plain,
% 4.44/4.63 (~r(z, s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2908, 24313, 427])).
% 4.44/4.63 tff(24315,plain,
% 4.44/4.63 (b(z, s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[403, 24314])).
% 4.44/4.63 tff(24316,plain,
% 4.44/4.63 (~b(s(z), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[3859, 24315, 24079, 3348, 24240])).
% 4.44/4.63 tff(24317,plain,
% 4.44/4.63 (r(s(z), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[26, 24316])).
% 4.44/4.63 tff(24318,plain,
% 4.44/4.63 (~r(s(s(s(s(z)))), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2977, 24317, 72])).
% 4.44/4.63 tff(24319,plain,
% 4.44/4.63 (b(s(s(s(s(z)))), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[127, 24318])).
% 4.44/4.63 tff(24320,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(24321,plain,
% 4.44/4.63 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(24322,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.44/4.63 inference(monotonicity,[status(thm)],[24321])).
% 4.44/4.63 tff(24323,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.63 inference(transitivity,[status(thm)],[24322, 24320])).
% 4.44/4.63 tff(24324,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.63 inference(quant_inst,[status(thm)],[])).
% 4.44/4.63 tff(24325,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.44/4.63 inference(modus_ponens,[status(thm)],[24324, 24323])).
% 4.44/4.63 tff(24326,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24325, 338, 24315, 24240, 24079, 3348, 8668, 24319])).
% 4.44/4.63 tff(24327,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(elem!1), s(z))) | r(s(s(s(s(z)))), elem!1) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(24328,plain,
% 4.44/4.63 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24327, 427, 3348, 1272, 24126, 747, 165, 1353, 1880, 24122, 24125, 24113, 234])).
% 4.44/4.63 tff(24329,plain,
% 4.44/4.63 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[106, 24328])).
% 4.44/4.63 tff(24330,plain,
% 4.44/4.63 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[8458, 24329, 1880, 24122, 24116])).
% 4.44/4.63 tff(24331,plain,
% 4.44/4.63 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.63 inference(monotonicity,[status(thm)],[1272])).
% 4.44/4.63 tff(24332,plain,
% 4.44/4.63 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.63 inference(symmetry,[status(thm)],[24331])).
% 4.44/4.63 tff(24333,plain,
% 4.44/4.63 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.63 inference(modus_ponens,[status(thm)],[3253, 24332])).
% 4.44/4.63 tff(24334,assumption,(~b(s(s(s(elem!1))), s(s(s(s(z)))))), introduced(assumption)).
% 4.44/4.63 tff(24335,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24334, 24333])).
% 4.44/4.63 tff(24336,plain,((~b(s(s(elem!1)), s(s(s(s(z)))))) | b(s(s(s(elem!1))), s(s(s(s(z))))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(24337,plain,
% 4.44/4.63 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24336, 24330, 1272])).
% 4.44/4.63 tff(24338,plain,
% 4.44/4.63 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[368, 24337, 23701])).
% 4.44/4.63 tff(24339,plain,
% 4.44/4.63 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[17704, 24329, 1880, 24116, 24122])).
% 4.44/4.63 tff(24340,plain,
% 4.44/4.63 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[119, 24339])).
% 4.44/4.63 tff(24341,plain,
% 4.44/4.63 (~r(z, s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2908, 24340, 427])).
% 4.44/4.63 tff(24342,plain,
% 4.44/4.63 (b(z, s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[403, 24341])).
% 4.44/4.63 tff(24343,plain,
% 4.44/4.63 (~r(s(z), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[23531, 1122, 1880, 5431, 3771])).
% 4.44/4.63 tff(24344,plain,
% 4.44/4.63 (b(s(z), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[26, 24343])).
% 4.44/4.63 tff(24345,plain,
% 4.44/4.63 (~r(s(s(elem!1)), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[14044, 1122, 370])).
% 4.44/4.63 tff(24346,plain,
% 4.44/4.63 (b(s(s(elem!1)), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[800, 24345])).
% 4.44/4.63 tff(24347,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[6963, 24346, 24344, 747, 764, 486])).
% 4.44/4.63 tff(24348,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(24349,plain,
% 4.44/4.63 (~r(s(s(s(s(z)))), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24348, 24126, 747, 24342, 24338, 1880, 24122, 24116])).
% 4.44/4.63 tff(24350,plain,
% 4.44/4.63 (b(s(s(s(s(z)))), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[127, 24349])).
% 4.44/4.63 tff(24351,plain,
% 4.44/4.63 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[3708, 24340, 427])).
% 4.44/4.63 tff(24352,plain,
% 4.44/4.63 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[689, 24351])).
% 4.44/4.63 tff(24353,plain,
% 4.44/4.63 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2880, 82, 24340, 427])).
% 4.44/4.63 tff(24354,plain,
% 4.44/4.63 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[1011, 24353])).
% 4.44/4.63 tff(24355,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2906, 338, 24079, 3348, 24354, 24352, 24350])).
% 4.44/4.63 tff(24356,plain,((~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(24357,plain,
% 4.44/4.63 (~r(s(s(s(z))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24356, 23456, 747, 1880, 1272, 165, 1353, 234, 23436])).
% 4.44/4.63 tff(24358,plain,
% 4.44/4.63 (b(s(s(s(z))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[437, 24357])).
% 4.44/4.63 tff(24359,plain,
% 4.44/4.63 (~r(s(s(s(s(z)))), elem!1)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24112, 23436, 1353, 24079, 23456, 1272])).
% 4.44/4.63 tff(24360,plain,
% 4.44/4.63 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[1144, 24359, 23457])).
% 4.44/4.63 tff(24361,plain,
% 4.44/4.63 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[3464, 24360, 5446])).
% 4.44/4.63 tff(24362,plain,
% 4.44/4.63 (~r(s(z), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[11562, 108, 1122])).
% 4.44/4.63 tff(24363,plain,
% 4.44/4.63 (b(s(z), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[26, 24362])).
% 4.44/4.63 tff(24364,plain,
% 4.44/4.63 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24171, 6890, 764, 23599, 747, 406])).
% 4.44/4.63 tff(24365,plain,
% 4.44/4.63 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[534, 24364])).
% 4.44/4.63 tff(24366,plain,
% 4.44/4.63 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[3914, 24365, 1741, 1122, 3348])).
% 4.44/4.63 tff(24367,plain,
% 4.44/4.63 (b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[68, 24366])).
% 4.44/4.63 tff(24368,plain,
% 4.44/4.63 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[13638, 24367, 21925, 24365, 987])).
% 4.44/4.63 tff(24369,plain,
% 4.44/4.63 ((s(s(z)) = s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[597, 21, 24368])).
% 4.44/4.63 tff(24370,plain,
% 4.44/4.63 (r(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24369, 61])).
% 4.44/4.63 tff(24371,plain,
% 4.44/4.63 (~r(s(s(z)), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[581, 82, 72, 24370])).
% 4.44/4.63 tff(24372,plain,
% 4.44/4.63 (b(s(s(z)), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[472, 24371])).
% 4.44/4.63 tff(24373,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(24374,plain,
% 4.44/4.63 (((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(24375,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.44/4.63 inference(monotonicity,[status(thm)],[24374])).
% 4.44/4.63 tff(24376,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.63 inference(transitivity,[status(thm)],[24375, 24373])).
% 4.44/4.63 tff(24377,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.63 inference(quant_inst,[status(thm)],[])).
% 4.44/4.63 tff(24378,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.44/4.63 inference(modus_ponens,[status(thm)],[24377, 24376])).
% 4.44/4.63 tff(24379,plain,
% 4.44/4.63 (~b(s(s(s(z))), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24378, 338, 24365, 24372, 458, 987, 24367])).
% 4.44/4.63 tff(24380,plain,
% 4.44/4.63 (r(s(s(s(z))), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[637, 21, 24379, 633])).
% 4.44/4.63 tff(24381,plain,
% 4.44/4.63 (~r(elem!1, s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24228, 6890, 1272, 24380])).
% 4.44/4.63 tff(24382,plain,
% 4.44/4.63 (b(elem!1, s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2442, 24381, 5623])).
% 4.44/4.63 tff(24383,plain,
% 4.44/4.63 (b(s(s(elem!1)), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24214, 24382, 1272])).
% 4.44/4.63 tff(24384,plain,
% 4.44/4.63 (~r(s(z), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[589, 82, 72, 24370])).
% 4.44/4.63 tff(24385,plain,
% 4.44/4.63 (b(s(z), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[455, 24384])).
% 4.44/4.63 tff(24386,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(24387,plain,
% 4.44/4.63 (((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(24388,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z))))))),
% 4.44/4.63 inference(monotonicity,[status(thm)],[24387])).
% 4.44/4.63 tff(24389,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.63 inference(transitivity,[status(thm)],[24388, 24386])).
% 4.44/4.63 tff(24390,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(z))))),
% 4.44/4.63 inference(quant_inst,[status(thm)],[])).
% 4.44/4.63 tff(24391,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z))))),
% 4.44/4.63 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 4.44/4.63 tff(24392,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24391, 338, 24365, 24372, 458, 764, 24385, 24383])).
% 4.44/4.63 tff(24393,plain,((~r(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(24394,plain,
% 4.44/4.63 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24393, 72, 764, 1272, 987, 458, 1741, 1122, 3348, 747, 406])).
% 4.44/4.63 tff(24395,plain,
% 4.44/4.63 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[1211, 21, 23488, 24394])).
% 4.44/4.63 tff(24396,plain,
% 4.44/4.63 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[11402, 21925, 987, 24395, 3484])).
% 4.44/4.63 tff(24397,plain,
% 4.44/4.63 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[366, 21, 24396, 23701])).
% 4.44/4.63 tff(24398,plain,
% 4.44/4.63 (~r(s(s(elem!1)), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[14044, 24397, 1122])).
% 4.44/4.63 tff(24399,plain,
% 4.44/4.63 (b(s(s(elem!1)), z)),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[800, 24398])).
% 4.44/4.63 tff(24400,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24151, 338, 24399, 1741, 3348, 987, 24395, 555])).
% 4.44/4.63 tff(24401,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(24402,plain,
% 4.44/4.63 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24401, 2133, 3348, 3439, 1741, 1122, 23478, 24025, 1272, 458, 747, 406])).
% 4.44/4.63 tff(24403,plain,
% 4.44/4.63 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[106, 24402])).
% 4.44/4.63 tff(24404,plain,
% 4.44/4.63 ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[11045, 338, 747, 458, 24025, 23478])).
% 4.44/4.63 tff(24405,plain,
% 4.44/4.63 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24404, 24403])).
% 4.44/4.63 tff(24406,plain,
% 4.44/4.63 (r(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[1211, 21, 24405, 23488])).
% 4.44/4.63 tff(24407,plain,
% 4.44/4.63 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24171, 24406, 24025, 23599, 747, 406])).
% 4.44/4.63 tff(24408,plain,
% 4.44/4.63 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[534, 24407])).
% 4.44/4.63 tff(24409,plain,
% 4.44/4.63 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[3914, 24408, 1741, 1122, 3348])).
% 4.44/4.63 tff(24410,plain,
% 4.44/4.63 (b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[68, 24409])).
% 4.44/4.63 tff(24411,plain,
% 4.44/4.63 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[8458, 24403, 1880, 23527, 24027])).
% 4.44/4.63 tff(24412,plain,
% 4.44/4.63 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[24336, 24411, 1272])).
% 4.44/4.63 tff(24413,plain,
% 4.44/4.63 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[366, 21, 24412, 23701])).
% 4.44/4.63 tff(24414,plain,
% 4.44/4.63 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[14568, 24413, 163])).
% 4.44/4.63 tff(24415,plain,
% 4.44/4.63 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[689, 24414])).
% 4.44/4.63 tff(24416,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24417,plain,
% 4.44/4.64 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24418,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[24417])).
% 4.44/4.64 tff(24419,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.64 inference(transitivity,[status(thm)],[24418, 24416])).
% 4.44/4.64 tff(24420,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.64 inference(quant_inst,[status(thm)],[])).
% 4.44/4.64 tff(24421,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 4.44/4.64 tff(24422,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24421, 338, 24408, 458, 3439, 24403, 24415, 24410])).
% 4.44/4.64 tff(24423,plain,((~r(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(24424,plain,
% 4.44/4.64 (~r(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24423, 406, 163, 1272, 1741, 1122, 3348, 747, 458, 1880, 108, 234])).
% 4.44/4.64 tff(24425,plain,
% 4.44/4.64 (b(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[403, 24424])).
% 4.44/4.64 tff(24426,plain,
% 4.44/4.64 (~b(s(z), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[3607, 24425, 1741, 3348, 458])).
% 4.44/4.64 tff(24427,plain,
% 4.44/4.64 (r(s(z), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[26, 24426])).
% 4.44/4.64 tff(24428,plain,
% 4.44/4.64 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[2977, 24427, 1122])).
% 4.44/4.64 tff(24429,plain,
% 4.44/4.64 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[106, 24428])).
% 4.44/4.64 tff(24430,plain,
% 4.44/4.64 (~b(s(s(s(elem!1))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[23531, 24427, 1880, 1122, 23527])).
% 4.44/4.64 tff(24431,plain,
% 4.44/4.64 (r(s(s(s(elem!1))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1990, 24430])).
% 4.44/4.64 tff(24432,plain,
% 4.44/4.64 (~r(s(s(s(elem!1))), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[2599, 24431, 24427])).
% 4.44/4.64 tff(24433,plain,
% 4.44/4.64 (b(s(s(s(elem!1))), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1387, 24432])).
% 4.44/4.64 tff(24434,plain,
% 4.44/4.64 (b(elem!1, z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[3979, 24433, 23433])).
% 4.44/4.64 tff(24435,plain,
% 4.44/4.64 (b(s(s(elem!1)), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24144, 24434, 1272])).
% 4.44/4.64 tff(24436,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24437,plain,
% 4.44/4.64 (((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24438,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[24437])).
% 4.44/4.64 tff(24439,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.64 inference(transitivity,[status(thm)],[24438, 24436])).
% 4.44/4.64 tff(24440,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.44/4.64 inference(quant_inst,[status(thm)],[])).
% 4.44/4.64 tff(24441,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[24440, 24439])).
% 4.44/4.64 tff(24442,plain,
% 4.44/4.64 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24441, 338, 24435, 747, 1741, 24429, 23478])).
% 4.44/4.64 tff(24443,plain,
% 4.44/4.64 (r(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1211, 21, 24442, 23488])).
% 4.44/4.64 tff(24444,plain,
% 4.44/4.64 (r(s(s(s(s(elem!1)))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[23459])).
% 4.44/4.64 tff(24445,plain,
% 4.44/4.64 (~b(elem!1, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[4608, 24430, 1272])).
% 4.44/4.64 tff(24446,plain,
% 4.44/4.64 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[3317, 24445, 23434, 1284])).
% 4.44/4.64 tff(24447,plain,
% 4.44/4.64 (r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1585, 24446])).
% 4.44/4.64 tff(24448,plain,
% 4.44/4.64 (r(s(s(elem!1)), s(z))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[24447, 24444])).
% 4.44/4.64 tff(24449,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[23511, 82, 406, 24448, 24443])).
% 4.44/4.64 tff(24450,plain,((~r(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(24451,plain,
% 4.44/4.64 (~r(s(z), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24450, 108, 1741, 1272, 1880, 1122, 3348, 458, 163, 747, 234])).
% 4.44/4.64 tff(24452,plain,
% 4.44/4.64 (b(s(z), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[424, 24451])).
% 4.44/4.64 tff(24453,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24454,plain,
% 4.44/4.64 (((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24455,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[24454])).
% 4.44/4.64 tff(24456,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.64 inference(transitivity,[status(thm)],[24455, 24453])).
% 4.44/4.64 tff(24457,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 4.44/4.64 inference(quant_inst,[status(thm)],[])).
% 4.44/4.64 tff(24458,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[24457, 24456])).
% 4.44/4.64 tff(24459,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24458, 338, 24452, 1741, 24363, 3348, 458])).
% 4.44/4.64 tff(24460,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(24461,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24460, 1122, 3348, 458, 1741, 1272, 1880, 163, 747, 234])).
% 4.44/4.64 tff(24462,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[119, 24461])).
% 4.44/4.64 tff(24463,plain,
% 4.44/4.64 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[14572, 24462, 747, 23478, 23701, 163, 458])).
% 4.44/4.64 tff(24464,plain,
% 4.44/4.64 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[106, 24463])).
% 4.44/4.64 tff(24465,plain,
% 4.44/4.64 (~r(s(z), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[2977, 24464, 1122])).
% 4.44/4.64 tff(24466,plain,
% 4.44/4.64 (b(s(z), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[26, 24465])).
% 4.44/4.64 tff(24467,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[10885, 23527, 1282])).
% 4.44/4.64 tff(24468,plain,
% 4.44/4.64 (~b(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[3607, 24466, 1741, 3348, 458])).
% 4.44/4.64 tff(24469,plain,
% 4.44/4.64 (r(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[403, 24468])).
% 4.44/4.64 tff(24470,plain,
% 4.44/4.64 (~r(elem!1, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[8266, 24469, 234])).
% 4.44/4.64 tff(24471,plain,
% 4.44/4.64 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[10928, 24470, 5446])).
% 4.44/4.64 tff(24472,plain,
% 4.44/4.64 (b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1585, 24471])).
% 4.44/4.64 tff(24473,plain,
% 4.44/4.64 (b(s(elem!1), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[4739, 24472, 4537])).
% 4.44/4.64 tff(24474,plain,
% 4.44/4.64 (~b(s(z), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[5576, 24473, 24467, 24462, 3348, 24466])).
% 4.44/4.64 tff(24475,plain,
% 4.44/4.64 (r(s(z), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[424, 24474])).
% 4.44/4.64 tff(24476,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[4106, 24475, 24464])).
% 4.44/4.64 tff(24477,plain,
% 4.44/4.64 (b(s(s(elem!1)), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[10934, 24472, 23434])).
% 4.44/4.64 tff(24478,plain,
% 4.44/4.64 (~r(z, s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[11465, 24469, 24464])).
% 4.44/4.64 tff(24479,plain,
% 4.44/4.64 (b(z, s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[391, 24478])).
% 4.44/4.64 tff(24480,plain,
% 4.44/4.64 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24401, 24475, 3348, 24464, 1741, 1122, 23478, 24479, 1272, 458, 747, 24477])).
% 4.44/4.64 tff(24481,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1011, 24480, 24476])).
% 4.44/4.64 tff(24482,plain,((~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(24483,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24482, 458, 1741, 1272, 3348, 747, 234, 163, 1880])).
% 4.44/4.64 tff(24484,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[127, 24483])).
% 4.44/4.64 tff(24485,plain,
% 4.44/4.64 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[8458, 651, 1880, 5431, 23825])).
% 4.44/4.64 tff(24486,plain,
% 4.44/4.64 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24336, 24485, 1272])).
% 4.44/4.64 tff(24487,plain,
% 4.44/4.64 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[368, 24486, 23701])).
% 4.44/4.64 tff(24488,plain,
% 4.44/4.64 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[14568, 24487, 163])).
% 4.44/4.64 tff(24489,plain,
% 4.44/4.64 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[689, 24488])).
% 4.44/4.64 tff(24490,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18334, 1038, 163])).
% 4.44/4.64 tff(24491,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), elem!1)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[23835, 24490, 1272])).
% 4.44/4.64 tff(24492,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1144, 24491, 23457])).
% 4.44/4.64 tff(24493,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[3464, 24492, 5446])).
% 4.44/4.64 tff(24494,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[23526, 24493, 1272])).
% 4.44/4.64 tff(24495,plain,
% 4.44/4.64 (~b(s(z), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1749, 14646, 1741, 458, 457])).
% 4.44/4.64 tff(24496,plain,
% 4.44/4.64 (r(s(z), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[26, 24495])).
% 4.44/4.64 tff(24497,plain,
% 4.44/4.64 (~r(s(s(elem!1)), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[792, 24496, 14641])).
% 4.44/4.64 tff(24498,plain,
% 4.44/4.64 (b(s(s(elem!1)), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[800, 24497])).
% 4.44/4.64 tff(24499,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[11501, 338, 24498, 14646, 457, 3348, 175, 3484])).
% 4.44/4.64 tff(24500,plain,(b(s(s(elem!1)), s(z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~r(z, elem!1)) | (~(elem!1 = s(s(elem!1)))) | (~(s(s(elem!1)) = s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(24501,plain,
% 4.44/4.64 (b(s(s(elem!1)), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24500, 24493, 3348, 24484, 457, 1741, 458, 234, 5446, 23434])).
% 4.44/4.64 tff(24502,plain,
% 4.44/4.64 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[11056, 1038, 23701, 23488, 747, 458, 24501, 651, 24493])).
% 4.44/4.64 tff(24503,plain,
% 4.44/4.64 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24336, 24502, 1272])).
% 4.44/4.64 tff(24504,plain,
% 4.44/4.64 (~b(s(s(s(elem!1))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[8458, 24503, 1880, 651, 24494])).
% 4.44/4.64 tff(24505,plain,
% 4.44/4.64 (~b(elem!1, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[4608, 24504, 1272])).
% 4.44/4.64 tff(24506,plain,
% 4.44/4.64 (r(elem!1, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[819, 24505, 23521])).
% 4.44/4.64 tff(24507,plain,
% 4.44/4.64 (~r(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[8266, 24506, 234])).
% 4.44/4.64 tff(24508,plain,
% 4.44/4.64 (b(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[403, 24507])).
% 4.44/4.64 tff(24509,plain,
% 4.44/4.64 (~b(s(z), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1749, 24508, 1741, 458, 457])).
% 4.44/4.64 tff(24510,plain,
% 4.44/4.64 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24511,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[24510])).
% 4.44/4.64 tff(24512,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.64 inference(transitivity,[status(thm)],[24511, 24320])).
% 4.44/4.64 tff(24513,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 4.44/4.64 inference(quant_inst,[status(thm)],[])).
% 4.44/4.64 tff(24514,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 4.44/4.64 tff(24515,plain,
% 4.44/4.64 ((~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24514, 338, 457, 1741, 3348, 175])).
% 4.44/4.64 tff(24516,plain,
% 4.44/4.64 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24515, 486])).
% 4.44/4.64 tff(24517,plain,
% 4.44/4.64 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[689, 24516])).
% 4.44/4.64 tff(24518,plain,
% 4.44/4.64 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[14568, 24517, 163])).
% 4.44/4.64 tff(24519,plain,
% 4.44/4.64 (~b(s(s(elem!1)), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[11503, 486, 457, 3348, 175, 3484])).
% 4.44/4.64 tff(24520,plain,
% 4.44/4.64 (~b(elem!1, z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24144, 24519, 1272])).
% 4.44/4.64 tff(24521,plain,
% 4.44/4.64 (r(elem!1, z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[846, 24520, 23501])).
% 4.44/4.64 tff(24522,plain,
% 4.44/4.64 (~r(elem!1, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[811, 24521, 405])).
% 4.44/4.64 tff(24523,plain,
% 4.44/4.64 (b(elem!1, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[819, 24522, 23521])).
% 4.44/4.64 tff(24524,plain,
% 4.44/4.64 (b(s(s(s(elem!1))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[12610, 24523, 23433])).
% 4.44/4.64 tff(24525,plain,
% 4.44/4.64 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[8458, 24524, 1880, 651, 23825])).
% 4.44/4.64 tff(24526,plain,
% 4.44/4.64 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24336, 24525, 1272])).
% 4.44/4.64 tff(24527,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[366, 21, 24526, 23701, 24518])).
% 4.44/4.64 tff(24528,plain,((~b(z, s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(24529,plain,
% 4.44/4.64 (~r(s(z), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24528, 24508, 1880, 651, 1272, 457, 3348, 24484, 24493, 163, 1741])).
% 4.44/4.64 tff(24530,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[26, 24529, 24509])).
% 4.44/4.64 tff(24531,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~r(z, elem!1)) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(24532,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24531, 651, 1880, 1272, 457, 3348, 163, 1741, 458, 234, 747])).
% 4.44/4.64 tff(24533,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1011, 24532])).
% 4.44/4.64 tff(24534,plain,
% 4.44/4.64 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[5079, 24533, 458, 651, 457])).
% 4.44/4.64 tff(24535,plain,
% 4.44/4.64 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[119, 24534])).
% 4.44/4.64 tff(24536,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24537,plain,
% 4.44/4.64 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(24538,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[24537])).
% 4.44/4.64 tff(24539,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.64 inference(transitivity,[status(thm)],[24538, 24536])).
% 4.44/4.64 tff(24540,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.64 inference(quant_inst,[status(thm)],[])).
% 4.44/4.64 tff(24541,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 4.44/4.64 tff(24542,plain,
% 4.44/4.64 ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24541, 338, 457, 1741, 3348, 24484])).
% 4.44/4.64 tff(24543,plain,
% 4.44/4.64 (~b(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[24542, 24533])).
% 4.44/4.64 tff(24544,plain,
% 4.44/4.64 (r(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[403, 24543])).
% 4.44/4.64 tff(24545,plain,
% 4.44/4.64 (~r(z, s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[2112, 24544, 24535])).
% 4.44/4.64 tff(24546,plain,
% 4.44/4.64 (b(z, s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[391, 24545])).
% 4.44/4.64 tff(24547,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[10974, 338, 1741, 3348, 24533, 24484, 24546])).
% 4.44/4.64 tff(24548,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(24549,plain,
% 4.44/4.65 (~b(s(z), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24548, 651, 3348, 1741, 458, 1880, 1272, 163, 234, 747])).
% 4.44/4.65 tff(24550,plain,
% 4.44/4.65 (r(s(z), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[424, 24549])).
% 4.44/4.65 tff(24551,plain,
% 4.44/4.65 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[14572, 651, 747, 3484, 23701, 163, 458])).
% 4.44/4.65 tff(24552,plain,
% 4.44/4.65 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[119, 24551])).
% 4.44/4.65 tff(24553,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[3437, 24552, 24550])).
% 4.44/4.65 tff(24554,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1011, 24553])).
% 4.44/4.65 tff(24555,plain,
% 4.44/4.65 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24556,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[24555])).
% 4.44/4.65 tff(24557,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.65 inference(transitivity,[status(thm)],[24556, 20873])).
% 4.44/4.65 tff(24558,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(24559,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[24558, 24557])).
% 4.44/4.65 tff(24560,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24559, 338, 3348, 458, 24554, 651, 24489, 24484])).
% 4.44/4.65 tff(24561,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(24562,plain,
% 4.44/4.65 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24561, 24027, 458, 163, 1272, 1880, 3348, 747, 3484, 1741, 234])).
% 4.44/4.65 tff(24563,plain,
% 4.44/4.65 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[106, 24562])).
% 4.44/4.65 tff(24564,plain,
% 4.44/4.65 (~r(z, s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[11465, 24563, 1731])).
% 4.44/4.65 tff(24565,plain,
% 4.44/4.65 (b(z, s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[391, 24564])).
% 4.44/4.65 tff(24566,plain,
% 4.44/4.65 (~b(s(z), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[3607, 23671, 1741, 3348, 458])).
% 4.44/4.65 tff(24567,plain,
% 4.44/4.65 (r(s(z), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[26, 24566])).
% 4.44/4.65 tff(24568,plain,
% 4.44/4.65 (~r(s(s(elem!1)), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[792, 24567, 14641])).
% 4.44/4.65 tff(24569,plain,
% 4.44/4.65 (b(s(s(elem!1)), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[800, 24568])).
% 4.44/4.65 tff(24570,plain,
% 4.44/4.65 (~b(s(z), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24500, 778, 3348, 3484, 175, 1741, 458, 234, 5446, 23434])).
% 4.44/4.65 tff(24571,plain,
% 4.44/4.65 (r(s(z), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[424, 24570])).
% 4.44/4.65 tff(24572,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24573,plain,
% 4.44/4.65 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24574,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[24573])).
% 4.44/4.65 tff(24575,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.65 inference(transitivity,[status(thm)],[24574, 24572])).
% 4.44/4.65 tff(24576,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(24577,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[24576, 24575])).
% 4.44/4.65 tff(24578,plain,
% 4.44/4.65 ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24577, 338, 878, 747, 175, 3484])).
% 4.44/4.65 tff(24579,plain,
% 4.44/4.65 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24578, 3253])).
% 4.44/4.65 tff(24580,plain,
% 4.44/4.65 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[106, 24579])).
% 4.44/4.65 tff(24581,plain,
% 4.44/4.65 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[11205, 24580, 406])).
% 4.44/4.65 tff(24582,plain,
% 4.44/4.65 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[689, 24581])).
% 4.44/4.65 tff(24583,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24584,plain,
% 4.44/4.65 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24585,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[24584])).
% 4.44/4.65 tff(24586,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.44/4.65 inference(transitivity,[status(thm)],[24585, 24583])).
% 4.44/4.65 tff(24587,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(24588,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[24587, 24586])).
% 4.44/4.65 tff(24589,plain,
% 4.44/4.65 ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24588, 338, 878, 747, 175, 3484])).
% 4.44/4.65 tff(24590,plain,
% 4.44/4.65 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24589, 3253])).
% 4.44/4.65 tff(24591,plain,
% 4.44/4.65 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[119, 24590])).
% 4.44/4.65 tff(24592,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[3437, 24591, 406])).
% 4.44/4.65 tff(24593,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1011, 24592])).
% 4.44/4.65 tff(24594,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[2906, 338, 1741, 3348, 24593, 24582, 175])).
% 4.44/4.65 tff(24595,plain,((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(24596,plain,
% 4.44/4.65 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24595, 24571, 3348, 175, 1741, 24569, 747, 3484])).
% 4.44/4.65 tff(24597,plain,
% 4.44/4.65 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[368, 24596, 23701])).
% 4.44/4.65 tff(24598,plain,
% 4.44/4.65 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[14568, 24597, 163])).
% 4.44/4.65 tff(24599,plain,
% 4.44/4.65 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[689, 24598])).
% 4.44/4.65 tff(24600,plain,
% 4.44/4.65 (r(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24061, 24597, 1272])).
% 4.44/4.65 tff(24601,plain,
% 4.44/4.65 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[4043, 24600, 23674])).
% 4.44/4.65 tff(24602,plain,
% 4.44/4.65 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[106, 24601])).
% 4.44/4.65 tff(24603,plain,
% 4.44/4.65 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[14572, 24602, 747, 3484, 23701, 163, 458])).
% 4.44/4.65 tff(24604,plain,
% 4.44/4.65 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[119, 24603])).
% 4.44/4.65 tff(24605,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[3437, 24604, 24571])).
% 4.44/4.65 tff(24606,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1011, 24605])).
% 4.44/4.65 tff(24607,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24559, 338, 3348, 458, 24606, 24602, 24599, 175])).
% 4.44/4.65 tff(24608,plain,(b(s(s(elem!1)), s(z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(24609,plain,
% 4.44/4.65 (b(s(s(elem!1)), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24608, 3348, 458, 24484, 747, 3484, 163, 1272, 1741, 234])).
% 4.44/4.65 tff(24610,plain,
% 4.44/4.65 (~b(s(s(elem!1)), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[11079, 11070, 747, 764, 11068])).
% 4.44/4.65 tff(24611,plain,
% 4.44/4.65 (~b(elem!1, s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24214, 24610, 1272])).
% 4.44/4.65 tff(24612,plain,
% 4.44/4.65 (r(elem!1, s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[2442, 24611, 5623])).
% 4.44/4.65 tff(24613,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18337, 24219])).
% 4.44/4.65 tff(24614,plain,(r(s(s(elem!1)), s(s(z))) | (~r(elem!1, s(s(z)))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(24615,plain,
% 4.44/4.65 (r(s(s(elem!1)), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24614, 24612, 1272])).
% 4.44/4.65 tff(24616,plain,
% 4.44/4.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24617,plain,
% 4.44/4.65 (((~r(s(s(elem!1)), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(elem!1))))) <=> ((~r(z, s(s(elem!1)))) | (~r(z, s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24618,plain,
% 4.44/4.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(z, s(s(z)))) | (~r(s(s(elem!1)), s(s(z))))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[24617])).
% 4.44/4.65 tff(24619,plain,
% 4.44/4.65 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.44/4.65 inference(transitivity,[status(thm)],[24618, 24616])).
% 4.44/4.65 tff(24620,plain,
% 4.44/4.65 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(elem!1)))))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(24621,plain,
% 4.44/4.65 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(z)))) | (~r(s(s(elem!1)), s(s(z))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[24620, 24619])).
% 4.44/4.65 tff(24622,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24621, 82, 165, 556, 24615])).
% 4.44/4.65 tff(24623,plain,((~r(z, s(s(z)))) | (~r(z, s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(24624,plain,
% 4.44/4.65 (~r(z, s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24623, 1731, 1272, 747, 24609, 165])).
% 4.44/4.65 tff(24625,plain,
% 4.44/4.65 (b(z, s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[563, 24624])).
% 4.44/4.65 tff(24626,plain,
% 4.44/4.65 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[10509, 539, 3348, 1741, 175])).
% 4.44/4.65 tff(24627,plain,
% 4.44/4.65 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1011, 24626])).
% 4.44/4.65 tff(24628,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24629,plain,
% 4.44/4.65 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24630,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[24629])).
% 4.44/4.65 tff(24631,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.65 inference(transitivity,[status(thm)],[24630, 24628])).
% 4.44/4.65 tff(24632,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(24633,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[24632, 24631])).
% 4.44/4.65 tff(24634,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24633, 338, 601, 1741, 539, 540, 175, 555])).
% 4.44/4.65 tff(24635,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(24636,plain,
% 4.44/4.65 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[24635, 539, 1741, 601, 175, 555])).
% 4.44/4.65 tff(24637,plain,
% 4.44/4.65 (r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[68, 24636])).
% 4.44/4.65 tff(24638,plain,
% 4.44/4.65 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1457, 24637, 24627])).
% 4.44/4.65 tff(24639,plain,
% 4.44/4.65 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[534, 24638])).
% 4.44/4.65 tff(24640,plain,
% 4.44/4.65 (~r(s(z), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[4106, 24627, 72])).
% 4.44/4.65 tff(24641,plain,
% 4.44/4.65 (b(s(z), s(s(s(z))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[424, 24640])).
% 4.44/4.65 tff(24642,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1463, 24637, 458, 24641, 24627])).
% 4.44/4.65 tff(24643,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[119, 24642])).
% 4.44/4.65 tff(24644,plain,
% 4.44/4.65 (~r(s(z), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[90, 24637, 72])).
% 4.44/4.65 tff(24645,plain,
% 4.44/4.65 (b(s(z), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[455, 24644])).
% 4.44/4.65 tff(24646,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24647,plain,
% 4.44/4.65 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(24648,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z))))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[24647])).
% 4.44/4.66 tff(24649,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z)))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[24648, 24646])).
% 4.44/4.66 tff(24650,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(24651,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(z))))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[24650, 24649])).
% 4.44/4.66 tff(24652,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24651, 338, 476, 457, 764, 474, 2911, 3484])).
% 4.44/4.66 tff(24653,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(24654,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24653, 24645, 24643, 24641, 764, 24639, 3484])).
% 4.44/4.66 tff(24655,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(24656,plain,
% 4.44/4.66 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24655, 24563, 3484, 24609, 458, 1741, 24625, 24484, 24565, 3348])).
% 4.44/4.66 tff(24657,plain,
% 4.44/4.66 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[689, 24656])).
% 4.44/4.66 tff(24658,plain,
% 4.44/4.66 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[14568, 24657, 163])).
% 4.44/4.66 tff(24659,plain,
% 4.44/4.66 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[368, 24658, 23701])).
% 4.44/4.66 tff(24660,plain,
% 4.44/4.66 (~b(s(s(z)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[2496, 540, 601, 175, 555])).
% 4.44/4.66 tff(24661,plain,
% 4.44/4.66 (~b(s(s(elem!1)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[15478, 3253, 555, 3484, 175])).
% 4.44/4.66 tff(24662,plain,
% 4.44/4.66 (r(s(s(elem!1)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[800, 24661])).
% 4.44/4.66 tff(24663,plain,
% 4.44/4.66 (b(s(s(z)), s(s(elem!1)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[11262, 21, 23599, 11258])).
% 4.44/4.66 tff(24664,plain,
% 4.44/4.66 ((~r(s(s(elem!1)), s(s(z)))) <=> (~r(elem!1, s(s(z))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[24217])).
% 4.44/4.66 tff(24665,plain,
% 4.44/4.66 (~r(s(s(elem!1)), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[21940, 82, 787, 3893])).
% 4.44/4.66 tff(24666,plain,
% 4.44/4.66 (~r(elem!1, s(s(z)))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[24665, 24664])).
% 4.44/4.66 tff(24667,plain,
% 4.44/4.66 (b(elem!1, s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[2442, 24666, 5623])).
% 4.44/4.66 tff(24668,plain,
% 4.44/4.66 (b(s(s(elem!1)), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24214, 24667, 1272])).
% 4.44/4.66 tff(24669,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(24670,plain,
% 4.44/4.66 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(24671,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z))))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[24670])).
% 4.44/4.66 tff(24672,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[24671, 24669])).
% 4.44/4.66 tff(24673,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(24674,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z))))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[24673, 24672])).
% 4.44/4.66 tff(24675,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24674, 338, 540, 3484, 3253, 24668, 24663])).
% 4.44/4.66 tff(24676,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(24677,plain,
% 4.44/4.66 (~r(s(s(z)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24676, 540, 3484, 3253, 1272, 24662])).
% 4.44/4.66 tff(24678,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[956, 24677, 24660])).
% 4.44/4.66 tff(24679,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(24680,plain,
% 4.44/4.66 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24679, 24659, 3484, 1272, 24625, 24484, 24565])).
% 4.44/4.66 tff(24681,plain,
% 4.44/4.66 (r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[68, 24680])).
% 4.44/4.66 tff(24682,plain,
% 4.44/4.66 (~r(s(z), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[90, 24681, 24563])).
% 4.44/4.66 tff(24683,plain,
% 4.44/4.66 (b(s(z), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[455, 24682])).
% 4.44/4.66 tff(24684,plain,
% 4.44/4.66 (~r(s(z), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[11205, 24657, 24563])).
% 4.44/4.66 tff(24685,plain,
% 4.44/4.66 (b(s(z), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[424, 24684])).
% 4.44/4.66 tff(24686,plain,
% 4.44/4.66 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1463, 1038, 458, 457, 71])).
% 4.44/4.66 tff(24687,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[119, 24686])).
% 4.44/4.66 tff(24688,plain,
% 4.44/4.66 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1457, 1038, 71])).
% 4.44/4.66 tff(24689,plain,
% 4.44/4.66 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[534, 24688])).
% 4.44/4.66 tff(24690,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24653, 24689, 24687, 457, 764, 474, 3484])).
% 4.44/4.66 tff(24691,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(24692,plain,
% 4.44/4.66 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24691, 24685, 24609, 24683, 3484, 24681, 458])).
% 4.44/4.66 tff(24693,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1011, 24692])).
% 4.44/4.66 tff(24694,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[10974, 338, 1741, 3348, 24693, 24484, 24565])).
% 4.44/4.66 tff(24695,plain,((~r(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(24696,plain,
% 4.44/4.66 (~r(z, s(z))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24695, 23456, 24079, 24361, 24358, 1272, 23436, 747, 165, 1880, 234])).
% 4.44/4.66 tff(24697,plain,
% 4.44/4.66 (b(z, s(z))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[403, 24696])).
% 4.44/4.66 tff(24698,plain,
% 4.44/4.66 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[23542, 338, 747, 24697, 23456, 24358, 24361])).
% 4.44/4.66 tff(24699,plain,
% 4.44/4.66 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[106, 24698])).
% 4.44/4.66 tff(24700,plain,
% 4.44/4.66 (~r(s(s(s(s(z)))), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24482, 24358, 24079, 1272, 23456, 747, 234, 23436, 1880])).
% 4.44/4.66 tff(24701,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[127, 24700])).
% 4.44/4.66 tff(24702,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(24703,plain,
% 4.44/4.66 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(24704,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[24703])).
% 4.44/4.66 tff(24705,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[24704, 24702])).
% 4.44/4.66 tff(24706,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(24707,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[24706, 24705])).
% 4.44/4.66 tff(24708,plain,
% 4.44/4.66 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24707, 338, 24697, 24079, 23456, 24358, 24701])).
% 4.44/4.66 tff(24709,plain,
% 4.44/4.66 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1011, 24708])).
% 4.44/4.66 tff(24710,plain,
% 4.44/4.66 (~r(s(z), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[4106, 24709, 24699])).
% 4.44/4.66 tff(24711,plain,
% 4.44/4.66 (b(s(z), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[424, 24710])).
% 4.44/4.66 tff(24712,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(24713,plain,
% 4.44/4.66 (((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(24714,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[24713])).
% 4.44/4.66 tff(24715,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[24714, 24712])).
% 4.44/4.66 tff(24716,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(24717,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 4.44/4.66 tff(24718,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24717, 338, 24697, 24711, 24079, 23456, 24358])).
% 4.44/4.66 tff(24719,plain,(b(s(s(s(z))), s(s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(24720,plain,
% 4.44/4.66 (b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24719, 747, 1272, 165, 1880, 234, 1353])).
% 4.44/4.66 tff(24721,plain,
% 4.44/4.66 (b(s(s(s(z))), elem!1) <=> b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[4599])).
% 4.44/4.66 tff(24722,plain,
% 4.44/4.66 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), elem!1)),
% 4.44/4.66 inference(symmetry,[status(thm)],[24721])).
% 4.44/4.66 tff(24723,plain,
% 4.44/4.66 (b(s(s(s(z))), elem!1)),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[3254, 24722])).
% 4.44/4.66 tff(24724,plain,
% 4.44/4.66 (~r(z, s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[14614, 1122, 1741, 747, 3254, 24723, 23477, 5446, 5483, 234])).
% 4.44/4.66 tff(24725,plain,
% 4.44/4.66 (b(z, s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[149, 24724])).
% 4.44/4.66 tff(24726,plain,
% 4.44/4.66 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[5636, 1038, 1741, 1122])).
% 4.44/4.66 tff(24727,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[68, 24726])).
% 4.44/4.66 tff(24728,plain,
% 4.44/4.66 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[10390, 23621, 2380, 5483, 23457, 427])).
% 4.44/4.66 tff(24729,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[119, 24728])).
% 4.44/4.66 tff(24730,plain,
% 4.44/4.66 (~r(elem!1, s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[3335, 23621, 427])).
% 4.44/4.66 tff(24731,plain,
% 4.44/4.66 (b(elem!1, s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1160, 24730, 5483])).
% 4.44/4.66 tff(24732,plain,
% 4.44/4.66 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[3458, 24731, 5446])).
% 4.44/4.66 tff(24733,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(24734,plain,
% 4.44/4.66 (((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(24735,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[24734])).
% 4.44/4.66 tff(24736,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[24735, 24733])).
% 4.44/4.66 tff(24737,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(24738,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[24737, 24736])).
% 4.44/4.66 tff(24739,plain,
% 4.44/4.66 (~b(s(s(elem!1)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24738, 338, 747, 3348, 24729, 24732, 23478])).
% 4.44/4.66 tff(24740,plain,
% 4.44/4.66 (r(s(s(elem!1)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[800, 24739])).
% 4.44/4.66 tff(24741,plain,
% 4.44/4.66 (~r(s(z), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[792, 24740, 14641])).
% 4.44/4.66 tff(24742,plain,
% 4.44/4.66 (b(s(z), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[26, 24741])).
% 4.44/4.66 tff(24743,plain,
% 4.44/4.66 (~b(s(z), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[3859, 24742, 1741, 3348, 23671])).
% 4.44/4.66 tff(24744,plain,
% 4.44/4.66 (r(s(z), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[424, 24743])).
% 4.44/4.66 tff(24745,plain,
% 4.44/4.66 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[5882, 24744, 1038])).
% 4.44/4.66 tff(24746,plain,
% 4.44/4.66 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[534, 24745])).
% 4.44/4.66 tff(24747,plain,
% 4.44/4.66 (~b(elem!1, s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[4156, 24746, 234, 5623, 23477, 24727, 24731, 3348])).
% 4.44/4.66 tff(24748,plain,
% 4.44/4.66 (r(elem!1, s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[2442, 24747, 5623])).
% 4.44/4.66 tff(24749,plain,
% 4.44/4.66 (~r(s(z), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[3555, 24748, 23621])).
% 4.44/4.66 tff(24750,plain,
% 4.44/4.66 (b(s(z), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[455, 24749])).
% 4.44/4.66 tff(24751,plain,
% 4.44/4.66 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[14044, 24740, 1122])).
% 4.44/4.66 tff(24752,plain,
% 4.44/4.66 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[368, 24751, 23701])).
% 4.44/4.66 tff(24753,plain,
% 4.44/4.66 (~r(s(s(z)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24676, 24752, 23478, 24727, 1272, 24740])).
% 4.44/4.66 tff(24754,plain,
% 4.44/4.66 (b(s(s(z)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[956, 24753])).
% 4.44/4.66 tff(24755,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[2937, 338, 24746, 3348, 24754, 24750, 24729, 24727])).
% 4.44/4.66 tff(24756,plain,(b(s(s(elem!1)), s(z)) | (~b(z, s(s(s(z))))) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(24757,plain,
% 4.44/4.66 (b(s(s(elem!1)), s(z))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24756, 427, 234, 1038, 1741, 1272, 1122, 747, 24723, 24725])).
% 4.44/4.66 tff(24758,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[119, 5880])).
% 4.44/4.66 tff(24759,plain,
% 4.44/4.66 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[24238, 406, 747, 427, 1272, 1741, 3348, 1880, 8418, 764, 234])).
% 4.44/4.66 tff(24760,plain,
% 4.44/4.66 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[106, 24759])).
% 4.44/4.67 tff(24761,plain,
% 4.44/4.67 (~b(s(s(s(elem!1))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[17704, 24760, 1880, 24241, 24758])).
% 4.44/4.67 tff(24762,plain,
% 4.44/4.67 (~b(elem!1, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[4608, 24761, 1272])).
% 4.44/4.67 tff(24763,plain,
% 4.44/4.67 (r(elem!1, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[819, 24762, 23521])).
% 4.44/4.67 tff(24764,plain,
% 4.44/4.67 ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24441, 338, 878, 747, 1741, 24130])).
% 4.44/4.67 tff(24765,plain,
% 4.44/4.67 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24764, 24760])).
% 4.44/4.67 tff(24766,plain,
% 4.44/4.67 (~b(elem!1, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3458, 24765, 5446])).
% 4.44/4.67 tff(24767,plain,
% 4.44/4.67 (r(elem!1, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1160, 24766, 5483])).
% 4.44/4.67 tff(24768,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3335, 24767, 24763, 427])).
% 4.44/4.67 tff(24769,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | r(s(s(s(s(z)))), elem!1) | (~b(s(s(elem!1)), s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24770,plain,
% 4.44/4.67 (~r(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24769, 14763, 1272, 427, 747, 1741, 1880, 1038, 24725, 14070, 24757, 234])).
% 4.44/4.67 tff(24771,plain,
% 4.44/4.67 (b(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[424, 24770])).
% 4.44/4.67 tff(24772,plain,
% 4.44/4.67 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[7851, 24771, 3254, 24757, 747])).
% 4.44/4.67 tff(24773,plain,
% 4.44/4.67 (~b(elem!1, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3458, 24772, 5446])).
% 4.44/4.67 tff(24774,plain,
% 4.44/4.67 (r(elem!1, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1160, 24773, 5483])).
% 4.44/4.67 tff(24775,plain,
% 4.44/4.67 (~r(elem!1, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3335, 24774, 427])).
% 4.44/4.67 tff(24776,plain,
% 4.44/4.67 (b(elem!1, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[819, 24775, 23521])).
% 4.44/4.67 tff(24777,plain,
% 4.44/4.67 (b(s(s(s(elem!1))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[12610, 24776, 23433])).
% 4.44/4.67 tff(24778,plain,
% 4.44/4.67 (~r(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[23531, 24777, 1880, 1122, 23527])).
% 4.44/4.67 tff(24779,plain,
% 4.44/4.67 (b(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[26, 24778])).
% 4.44/4.67 tff(24780,plain,
% 4.44/4.67 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10928, 24775, 5446])).
% 4.44/4.67 tff(24781,plain,
% 4.44/4.67 (b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1585, 24780])).
% 4.44/4.67 tff(24782,plain,
% 4.44/4.67 (b(s(elem!1), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[4739, 24781, 4537])).
% 4.44/4.67 tff(24783,plain,
% 4.44/4.67 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[5576, 24782, 24467, 24771, 24725, 24779])).
% 4.44/4.67 tff(24784,plain,
% 4.44/4.67 (~b(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24348, 24777, 747, 1122, 24757, 1880, 370, 23527])).
% 4.44/4.67 tff(24785,plain,
% 4.44/4.67 (r(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[403, 24784])).
% 4.44/4.67 tff(24786,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[2908, 24785, 427])).
% 4.44/4.67 tff(24787,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[119, 24786, 24783])).
% 4.44/4.67 tff(24788,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24789,plain,
% 4.44/4.67 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24788, 427, 747, 1122, 1880, 3254, 1272, 1741, 1038, 234])).
% 4.44/4.67 tff(24790,plain,
% 4.44/4.67 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[368, 24789, 23701])).
% 4.44/4.67 tff(24791,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3859, 24363, 24012, 1741, 3348, 11485])).
% 4.44/4.67 tff(24792,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24793,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24792, 427, 24725, 1038, 1122, 1741])).
% 4.44/4.67 tff(24794,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[119, 24793])).
% 4.44/4.67 tff(24795,plain,
% 4.44/4.67 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10998, 24794, 24757, 747, 24790])).
% 4.44/4.67 tff(24796,plain,
% 4.44/4.67 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[106, 24795])).
% 4.44/4.67 tff(24797,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[2959, 24796, 427])).
% 4.44/4.67 tff(24798,plain,
% 4.44/4.67 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[689, 24797])).
% 4.44/4.67 tff(24799,plain,
% 4.44/4.67 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[8241, 5470])).
% 4.44/4.67 tff(24800,plain,
% 4.44/4.67 (~(s(elem!1) = s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[8246, 24799])).
% 4.44/4.67 tff(24801,plain,
% 4.44/4.67 (~(s(elem!1) = s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3655, 4537])).
% 4.44/4.67 tff(24802,plain,
% 4.44/4.67 (~r(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[2977, 24796, 1122])).
% 4.44/4.67 tff(24803,plain,
% 4.44/4.67 (b(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[26, 24802])).
% 4.44/4.67 tff(24804,plain,
% 4.44/4.67 (~r(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[4106, 24796, 1038])).
% 4.44/4.67 tff(24805,plain,
% 4.44/4.67 (b(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[424, 24804])).
% 4.44/4.67 tff(24806,plain,
% 4.44/4.67 (~b(s(elem!1), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[5576, 24805, 24467, 24794, 24725, 24803])).
% 4.44/4.67 tff(24807,plain,
% 4.44/4.67 (r(s(elem!1), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[2070, 24806, 23927])).
% 4.44/4.67 tff(24808,plain,
% 4.44/4.67 (~r(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[4043, 24807, 24796])).
% 4.44/4.67 tff(24809,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3702, 24808, 24807, 24801, 24800, 24467, 427, 24798])).
% 4.44/4.67 tff(24810,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24811,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24810, 1038, 1122, 747, 1741, 1880, 3254, 1272, 234])).
% 4.44/4.67 tff(24812,plain,
% 4.44/4.67 (b(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[437, 24811])).
% 4.44/4.67 tff(24813,plain,
% 4.44/4.67 (b(s(s(elem!1)), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[14666, 1038, 23478, 747, 23488, 1741, 24812, 3254, 1122, 24725, 234, 5446, 23434])).
% 4.44/4.67 tff(24814,plain,
% 4.44/4.67 (~b(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[11033, 338, 747, 24812, 24813, 3254])).
% 4.44/4.67 tff(24815,plain,
% 4.44/4.67 (r(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[424, 24814])).
% 4.44/4.67 tff(24816,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(24817,plain,
% 4.44/4.67 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(24818,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[24817])).
% 4.44/4.67 tff(24819,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.67 inference(transitivity,[status(thm)],[24818, 24816])).
% 4.44/4.67 tff(24820,plain,
% 4.44/4.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.44/4.67 inference(quant_inst,[status(thm)],[])).
% 4.44/4.67 tff(24821,plain,
% 4.44/4.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[24820, 24819])).
% 4.44/4.67 tff(24822,plain,
% 4.44/4.67 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24821, 338, 747, 24812, 24813, 3254, 23478])).
% 4.44/4.67 tff(24823,plain,
% 4.44/4.67 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[106, 24822])).
% 4.44/4.67 tff(24824,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[4106, 24823, 24815, 1038])).
% 4.44/4.67 tff(24825,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24826,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24825, 1122, 24720, 24079, 747, 234, 1880, 1272])).
% 4.44/4.67 tff(24827,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1011, 24826])).
% 4.44/4.67 tff(24828,plain,
% 4.44/4.67 (r(elem!1, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10928, 1520, 5446])).
% 4.44/4.67 tff(24829,plain,
% 4.44/4.67 (~r(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[8266, 24828, 234])).
% 4.44/4.67 tff(24830,plain,
% 4.44/4.67 (b(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[403, 24829])).
% 4.44/4.67 tff(24831,plain,
% 4.44/4.67 (r(s(s(s(elem!1))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[23668, 1520, 1281])).
% 4.44/4.67 tff(24832,plain,
% 4.44/4.67 (~b(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[14689, 2911, 987, 747, 3484, 1741, 3348, 486, 3254])).
% 4.44/4.67 tff(24833,plain,
% 4.44/4.67 (r(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[437, 24832])).
% 4.44/4.67 tff(24834,plain,
% 4.44/4.67 (~r(elem!1, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3335, 24833, 803])).
% 4.44/4.67 tff(24835,plain,
% 4.44/4.67 (b(elem!1, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1160, 24834, 5483])).
% 4.44/4.67 tff(24836,plain,
% 4.44/4.67 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3458, 24835, 5446])).
% 4.44/4.67 tff(24837,plain,
% 4.44/4.67 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3801, 24833, 23937, 23825, 987, 2588])).
% 4.44/4.67 tff(24838,plain,
% 4.44/4.67 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24336, 24837, 1272])).
% 4.44/4.67 tff(24839,plain,
% 4.44/4.67 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[368, 24838, 23701])).
% 4.44/4.67 tff(24840,plain,
% 4.44/4.67 (~r(s(s(elem!1)), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[14044, 24839, 1122])).
% 4.44/4.67 tff(24841,plain,
% 4.44/4.67 (b(s(s(elem!1)), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[800, 24840])).
% 4.44/4.67 tff(24842,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[14612, 338, 24841, 747, 1741, 2911, 24836, 3484])).
% 4.44/4.67 tff(24843,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(elem!1))), s(z))) | (~r(elem!1, s(z))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24844,plain,
% 4.44/4.67 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24843, 24831, 1741, 23478, 1122, 1272, 987, 747, 24828, 24725, 24830, 3254])).
% 4.44/4.67 tff(24845,plain,
% 4.44/4.67 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[119, 24844])).
% 4.44/4.67 tff(24846,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10390, 24845, 24723, 5483, 23457, 24828])).
% 4.44/4.67 tff(24847,plain,
% 4.44/4.67 (b(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[437, 24846])).
% 4.44/4.67 tff(24848,plain,
% 4.44/4.67 (~r(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[11562, 24845, 1122])).
% 4.44/4.67 tff(24849,plain,
% 4.44/4.67 (b(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[26, 24848])).
% 4.44/4.67 tff(24850,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3607, 24849, 24847, 1741, 24725, 24830])).
% 4.44/4.67 tff(24851,plain,((~r(s(s(s(s(elem!1)))), s(z))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24852,plain,
% 4.44/4.67 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24851, 1122, 24079, 1272, 24827, 747, 24720, 234])).
% 4.44/4.67 tff(24853,plain,
% 4.44/4.67 (b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1585, 24852])).
% 4.44/4.67 tff(24854,plain,
% 4.44/4.67 (b(elem!1, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3317, 24853, 23434, 1284])).
% 4.44/4.67 tff(24855,plain,
% 4.44/4.67 (b(s(s(s(elem!1))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[12610, 24854, 23433])).
% 4.44/4.67 tff(24856,plain,
% 4.44/4.67 (b(s(s(elem!1)), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10934, 24853, 23434])).
% 4.44/4.67 tff(24857,plain,
% 4.44/4.67 (~r(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[2908, 427, 108])).
% 4.44/4.67 tff(24858,plain,
% 4.44/4.67 (b(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[403, 24857])).
% 4.44/4.67 tff(24859,plain,
% 4.44/4.67 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24348, 24858, 747, 1122, 24856, 1880, 24855, 23527])).
% 4.44/4.67 tff(24860,plain,
% 4.44/4.67 (b(s(elem!1), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[4739, 24853, 4537])).
% 4.44/4.67 tff(24861,plain,
% 4.44/4.67 (b(s(s(s(z))), elem!1)),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[24720, 24722])).
% 4.44/4.67 tff(24862,plain,
% 4.44/4.67 (~r(z, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[14614, 1122, 24079, 747, 24720, 24861, 23477, 5446, 5483, 234])).
% 4.44/4.67 tff(24863,plain,
% 4.44/4.67 (b(z, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[149, 24862])).
% 4.44/4.67 tff(24864,plain,
% 4.44/4.67 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24327, 427, 24863, 1272, 24860, 747, 165, 1353, 1880, 24856, 24855, 14070, 234])).
% 4.44/4.67 tff(24865,plain,
% 4.44/4.67 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[106, 24864])).
% 4.44/4.67 tff(24866,plain,
% 4.44/4.67 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[8458, 24865, 1880, 24855, 23527])).
% 4.44/4.67 tff(24867,plain,
% 4.44/4.67 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24336, 24866, 1272])).
% 4.44/4.67 tff(24868,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[368, 24867, 24859, 23701])).
% 4.44/4.67 tff(24869,plain,((~r(s(s(s(z))), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24870,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24869, 108, 747, 1122, 1880, 1272, 165, 1353, 234])).
% 4.44/4.67 tff(24871,plain,
% 4.44/4.67 (b(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[437, 24870])).
% 4.44/4.67 tff(24872,plain,
% 4.44/4.67 ((~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[11163, 338, 747, 24863, 24827, 24720])).
% 4.44/4.67 tff(24873,plain,
% 4.44/4.67 (~b(z, s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24872, 24871])).
% 4.44/4.67 tff(24874,plain,
% 4.44/4.67 (r(z, s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[391, 24873])).
% 4.44/4.67 tff(24875,plain,
% 4.44/4.67 (~r(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[23531, 24855, 1880, 1122, 23527])).
% 4.44/4.67 tff(24876,plain,
% 4.44/4.67 (b(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[26, 24875])).
% 4.44/4.67 tff(24877,plain,
% 4.44/4.67 (~b(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3607, 24871, 24079, 24863, 24876])).
% 4.44/4.67 tff(24878,plain,
% 4.44/4.67 (r(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[403, 24877])).
% 4.44/4.67 tff(24879,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[2112, 24878, 24874, 108])).
% 4.44/4.67 tff(24880,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24881,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24880, 1122, 747, 1880, 1272, 165, 1353, 234])).
% 4.44/4.67 tff(24882,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[119, 24881])).
% 4.44/4.67 tff(24883,plain,
% 4.44/4.67 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[17704, 24882, 1880, 23527, 24855])).
% 4.44/4.67 tff(24884,plain,
% 4.44/4.67 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[106, 24883])).
% 4.44/4.67 tff(24885,plain,
% 4.44/4.67 (~r(elem!1, z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[8435, 24882, 23433, 1880, 23457, 1122, 24855])).
% 4.44/4.67 tff(24886,plain,
% 4.44/4.67 (b(elem!1, z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[846, 24885, 23501])).
% 4.44/4.67 tff(24887,plain,
% 4.44/4.67 (b(s(s(elem!1)), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24144, 24886, 1272])).
% 4.44/4.67 tff(24888,plain,
% 4.44/4.67 (~b(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[6963, 24887, 747, 24856, 24876])).
% 4.44/4.67 tff(24889,plain,
% 4.44/4.67 (r(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[403, 24888])).
% 4.44/4.67 tff(24890,plain,
% 4.44/4.67 (~b(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[5576, 24882, 24467, 24860, 24863, 24876])).
% 4.44/4.67 tff(24891,plain,
% 4.44/4.67 (r(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[424, 24890])).
% 4.44/4.67 tff(24892,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24238, 24884, 747, 24856, 1272, 24079, 24863, 1880, 14070, 24891, 234])).
% 4.44/4.67 tff(24893,plain,
% 4.44/4.67 (b(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[437, 24892])).
% 4.44/4.67 tff(24894,plain,
% 4.44/4.67 (~b(z, s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24872, 24893])).
% 4.44/4.67 tff(24895,plain,
% 4.44/4.67 (r(z, s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[391, 24894])).
% 4.44/4.67 tff(24896,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[11465, 24895, 24889, 24884])).
% 4.44/4.67 tff(24897,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, elem!1)) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24898,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24897, 23432, 23408, 23431, 234, 162, 23418])).
% 4.44/4.67 tff(24899,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[127, 24898])).
% 4.44/4.67 tff(24900,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24897, 747, 1272, 1880, 234, 165, 1353])).
% 4.44/4.67 tff(24901,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[127, 24900])).
% 4.44/4.67 tff(24902,plain,
% 4.44/4.67 (r(s(elem!1), s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 4.44/4.67 inference(transitivity,[status(thm)],[23672, 24118])).
% 4.44/4.67 tff(24903,plain,
% 4.44/4.67 ((~r(s(elem!1), s(z))) <=> (~r(s(s(s(elem!1))), s(z)))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[24902])).
% 4.44/4.67 tff(24904,plain,
% 4.44/4.67 (b(elem!1, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1160, 10944, 5483])).
% 4.44/4.67 tff(24905,plain,
% 4.44/4.67 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3458, 24904, 5446])).
% 4.44/4.67 tff(24906,plain,
% 4.44/4.67 (~b(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[6876, 458, 747, 3254, 24905])).
% 4.44/4.67 tff(24907,plain,
% 4.44/4.67 (r(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[424, 24906])).
% 4.44/4.67 tff(24908,plain,
% 4.44/4.67 (~r(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[414, 24907, 164])).
% 4.44/4.67 tff(24909,plain,
% 4.44/4.67 (b(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[26, 24908])).
% 4.44/4.67 tff(24910,plain,
% 4.44/4.67 (~b(s(s(elem!1)), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10954, 458, 3254, 747, 24905])).
% 4.44/4.67 tff(24911,plain,
% 4.44/4.67 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10934, 24910, 23434])).
% 4.44/4.67 tff(24912,plain,
% 4.44/4.67 (r(s(s(s(s(elem!1)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1585, 24911])).
% 4.44/4.67 tff(24913,plain,
% 4.44/4.67 (r(elem!1, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10928, 24912, 5446])).
% 4.44/4.67 tff(24914,plain,
% 4.44/4.67 (~r(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[8266, 24913, 234])).
% 4.44/4.67 tff(24915,plain,
% 4.44/4.67 (b(z, s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[403, 24914])).
% 4.44/4.67 tff(24916,plain,
% 4.44/4.67 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3505, 24915, 175, 555, 24909])).
% 4.44/4.67 tff(24917,plain,
% 4.44/4.67 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[106, 24916])).
% 4.44/4.67 tff(24918,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[23895, 24913, 3254, 747, 24905, 5446, 23457, 24907, 458])).
% 4.44/4.67 tff(24919,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[119, 24918])).
% 4.44/4.67 tff(24920,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[11205, 24917, 24907])).
% 4.44/4.67 tff(24921,plain,
% 4.44/4.67 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[689, 24920])).
% 4.44/4.67 tff(24922,plain,
% 4.44/4.67 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3262, 24921, 3254, 175, 24915, 24919])).
% 4.44/4.67 tff(24923,plain,
% 4.44/4.67 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[368, 24922, 23701])).
% 4.44/4.67 tff(24924,plain,
% 4.44/4.67 (r(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24061, 24923, 1272])).
% 4.44/4.67 tff(24925,plain,
% 4.44/4.67 (~r(s(elem!1), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[4043, 24924, 24917])).
% 4.44/4.67 tff(24926,plain,
% 4.44/4.67 (~r(s(s(s(elem!1))), s(z))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[24925, 24903])).
% 4.44/4.67 tff(24927,plain,
% 4.44/4.67 (r(s(s(s(elem!1))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[23668, 24912, 1281])).
% 4.44/4.67 tff(24928,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24927, 24926])).
% 4.44/4.67 tff(24929,plain,((~b(s(s(s(z))), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24930,plain,
% 4.44/4.67 (~b(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24929, 555, 3254, 175, 1272, 747, 234, 164])).
% 4.44/4.67 tff(24931,plain,
% 4.44/4.67 (r(s(s(s(z))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[437, 24930])).
% 4.44/4.67 tff(24932,plain,
% 4.44/4.67 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3458, 2381, 5446])).
% 4.44/4.67 tff(24933,plain,
% 4.44/4.67 (b(s(s(s(elem!1))), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[1272])).
% 4.44/4.67 tff(24934,plain,
% 4.44/4.67 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 4.44/4.67 inference(symmetry,[status(thm)],[24933])).
% 4.44/4.67 tff(24935,plain,
% 4.44/4.67 (b(s(s(s(elem!1))), s(s(s(z))))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[24932, 24934])).
% 4.44/4.67 tff(24936,plain,
% 4.44/4.67 (b(s(s(s(z))), s(s(s(elem!1)))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[1272])).
% 4.44/4.67 tff(24937,plain,
% 4.44/4.67 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 4.44/4.67 inference(symmetry,[status(thm)],[24936])).
% 4.44/4.67 tff(24938,plain,
% 4.44/4.67 (b(s(s(s(z))), s(s(s(elem!1))))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[3254, 24937])).
% 4.44/4.67 tff(24939,plain,
% 4.44/4.67 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[23749, 23674, 24723, 175, 1272, 427, 486, 165, 23669, 24938, 24935, 3254, 2911, 2381])).
% 4.44/4.67 tff(24940,plain,
% 4.44/4.67 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1011, 24939])).
% 4.44/4.67 tff(24941,plain,
% 4.44/4.67 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24065, 24940, 1272, 3254, 175, 24932, 427, 747, 486, 2911])).
% 4.44/4.67 tff(24942,plain,
% 4.44/4.67 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[106, 24941])).
% 4.44/4.67 tff(24943,plain,
% 4.44/4.67 (~b(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[11153, 24942, 175, 555, 2911])).
% 4.44/4.67 tff(24944,plain,
% 4.44/4.67 (r(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[26, 24943])).
% 4.44/4.67 tff(24945,plain,
% 4.44/4.67 (~r(s(s(elem!1)), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[792, 24944, 14641])).
% 4.44/4.67 tff(24946,plain,
% 4.44/4.67 (b(s(s(elem!1)), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[800, 24945])).
% 4.44/4.67 tff(24947,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(24948,plain,
% 4.44/4.67 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(24949,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[24948])).
% 4.44/4.67 tff(24950,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.44/4.67 inference(transitivity,[status(thm)],[24949, 24947])).
% 4.44/4.67 tff(24951,plain,
% 4.44/4.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.44/4.67 inference(quant_inst,[status(thm)],[])).
% 4.44/4.67 tff(24952,plain,
% 4.44/4.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[24951, 24950])).
% 4.44/4.67 tff(24953,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24952, 338, 24946, 486, 1741, 24942, 3254, 555])).
% 4.44/4.67 tff(24954,plain,(b(s(s(elem!1)), s(z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24955,plain,
% 4.44/4.67 (b(s(s(elem!1)), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24954, 2911, 1741, 3254, 555, 175, 16215, 1272, 427, 747, 165, 2381])).
% 4.44/4.67 tff(24956,plain,
% 4.44/4.67 (~b(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[7851, 24955, 3254, 24932, 747])).
% 4.44/4.67 tff(24957,plain,
% 4.44/4.67 (r(s(z), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[424, 24956])).
% 4.44/4.67 tff(24958,plain,
% 4.44/4.67 (~r(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[414, 24957, 164])).
% 4.44/4.67 tff(24959,plain,
% 4.44/4.67 (b(s(z), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[26, 24958])).
% 4.44/4.67 tff(24960,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[7735, 24959, 175, 427, 16215])).
% 4.44/4.67 tff(24961,plain,
% 4.44/4.67 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[689, 24960])).
% 4.44/4.67 tff(24962,plain,
% 4.44/4.67 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3505, 24959, 175, 555, 16215])).
% 4.44/4.67 tff(24963,plain,
% 4.44/4.67 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[106, 24962])).
% 4.44/4.67 tff(24964,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24065, 24963, 1272, 3254, 175, 24932, 427, 747, 16215, 2911])).
% 4.44/4.67 tff(24965,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1011, 24964])).
% 4.44/4.67 tff(24966,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[22337, 338, 1741, 24965, 24961, 175, 555])).
% 4.44/4.67 tff(24967,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))) | (~b(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24968,plain,
% 4.44/4.67 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24967, 555, 175, 1741, 1272, 3254, 24931, 747, 164, 165, 24904])).
% 4.44/4.67 tff(24969,plain,
% 4.44/4.67 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[119, 24968])).
% 4.44/4.67 tff(24970,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[3708, 24969, 24931])).
% 4.44/4.67 tff(24971,plain,
% 4.44/4.67 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[689, 24970])).
% 4.44/4.67 tff(24972,plain,
% 4.44/4.67 (~b(s(s(elem!1)), s(z))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[7851, 11485, 3485, 3254, 747])).
% 4.44/4.67 tff(24973,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10934, 24015, 24972, 1494])).
% 4.44/4.67 tff(24974,plain,((~r(s(s(s(s(z)))), s(z))) | (~(s(s(elem!1)) = s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | (elem!1 = s(s(s(z)))) | (s(s(s(s(z)))) = elem!1) | (~b(s(s(s(z))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24975,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24974, 24969, 23434, 3254, 747, 5446, 24905, 5483, 23457, 24723, 24931])).
% 4.44/4.67 tff(24976,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1011, 24975])).
% 4.44/4.67 tff(24977,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[22337, 338, 1741, 24976, 24971, 175, 555])).
% 4.44/4.67 tff(24978,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24979,plain,
% 4.44/4.67 (~b(z, s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24978, 164, 175, 3254, 747, 1272, 1741, 165, 234])).
% 4.44/4.67 tff(24980,plain,
% 4.44/4.67 (r(z, s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[391, 24979])).
% 4.44/4.67 tff(24981,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1119, 24980, 164])).
% 4.44/4.67 tff(24982,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1011, 24981])).
% 4.44/4.67 tff(24983,plain,
% 4.44/4.67 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[919, 24980, 164])).
% 4.44/4.67 tff(24984,plain,
% 4.44/4.67 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[689, 24983])).
% 4.44/4.67 tff(24985,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[10588, 24980, 165])).
% 4.44/4.67 tff(24986,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), elem!1)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[23835, 24985, 1272])).
% 4.44/4.67 tff(24987,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1144, 24986, 23457])).
% 4.44/4.67 tff(24988,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[2389, 24987, 24984, 24723, 24904, 24982])).
% 4.44/4.67 tff(24989,plain,((~r(z, s(s(s(z))))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(24990,plain,
% 4.44/4.67 (~r(z, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24989, 1272, 165, 24901, 24720, 747, 24079, 234])).
% 4.44/4.67 tff(24991,plain,
% 4.44/4.67 (b(z, s(s(s(z))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[149, 24990])).
% 4.44/4.67 tff(24992,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24107, 987, 1353, 24079, 24991])).
% 4.44/4.67 tff(24993,plain,
% 4.44/4.67 (~r(s(s(s(s(z)))), elem!1)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[24085, 24992, 1272])).
% 4.44/4.68 tff(24994,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1144, 24993, 23457])).
% 4.44/4.68 tff(24995,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[3464, 24994, 5446])).
% 4.44/4.68 tff(24996,plain,
% 4.44/4.68 (~b(s(s(s(z))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[10964, 338, 747, 24991, 987, 24901, 24720])).
% 4.44/4.68 tff(24997,plain,
% 4.44/4.68 (r(s(s(s(z))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[437, 24996])).
% 4.44/4.68 tff(24998,plain,
% 4.44/4.68 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[23557, 987, 24720, 165, 1272, 24901, 24991, 747])).
% 4.44/4.68 tff(24999,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[119, 24998])).
% 4.44/4.68 tff(25000,plain,
% 4.44/4.68 (~b(s(s(s(elem!1))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[23829, 24997, 1880, 24901, 24991, 24999, 24995, 987, 24720, 1272])).
% 4.44/4.68 tff(25001,plain,
% 4.44/4.68 (~b(elem!1, s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[4608, 25000, 1272])).
% 4.44/4.68 tff(25002,plain,
% 4.44/4.68 (r(elem!1, s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[819, 25001, 23521])).
% 4.44/4.68 tff(25003,plain,
% 4.44/4.68 (~r(elem!1, s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[3335, 25002, 24997])).
% 4.44/4.68 tff(25004,plain,
% 4.44/4.68 (b(elem!1, s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1160, 25003, 5483])).
% 4.44/4.68 tff(25005,plain,
% 4.44/4.68 (b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[3458, 25004, 5446])).
% 4.44/4.68 tff(25006,plain,
% 4.44/4.68 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[10509, 987, 24901, 24079, 24991])).
% 4.44/4.68 tff(25007,plain,
% 4.44/4.68 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[689, 25006])).
% 4.44/4.68 tff(25008,plain,
% 4.44/4.68 (~b(z, s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[10974, 338, 24079, 24991, 987, 24901])).
% 4.44/4.68 tff(25009,plain,
% 4.44/4.68 (r(z, s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[391, 25008])).
% 4.44/4.68 tff(25010,plain,
% 4.44/4.68 (~r(z, s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[8266, 25002, 234])).
% 4.44/4.68 tff(25011,plain,
% 4.44/4.68 (b(z, s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[403, 25010])).
% 4.44/4.68 tff(25012,plain,
% 4.44/4.68 (~b(s(z), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[10813, 25011, 24901, 25009, 25007, 24991])).
% 4.44/4.68 tff(25013,plain,
% 4.44/4.68 (r(s(z), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[26, 25012])).
% 4.44/4.68 tff(25014,plain,
% 4.44/4.68 (~r(elem!1, z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[811, 25013, 25002])).
% 4.44/4.68 tff(25015,plain,
% 4.44/4.68 (b(elem!1, z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[846, 25014, 23501])).
% 4.44/4.68 tff(25016,plain,
% 4.44/4.68 (b(s(s(elem!1)), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[24144, 25015, 1272])).
% 4.44/4.68 tff(25017,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[14612, 338, 25016, 747, 24079, 24999, 25005, 24995])).
% 4.44/4.68 tff(25018,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(25019,plain,
% 4.44/4.68 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25018, 23432, 23408, 234, 23431, 162, 23418])).
% 4.44/4.68 tff(25020,plain,
% 4.44/4.68 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1011, 25019])).
% 4.44/4.68 tff(25021,plain,
% 4.44/4.68 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[3225, 23411])).
% 4.44/4.68 tff(25022,plain,
% 4.44/4.68 (b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[24719, 23432, 23408, 162, 23431, 234, 23418])).
% 4.44/4.68 tff(25023,plain,
% 4.44/4.68 (~r(s(s(s(z))), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[24077, 23431, 234, 23408, 23432, 162, 23418])).
% 4.44/4.68 tff(25024,plain,
% 4.44/4.68 (b(s(s(s(z))), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[135, 25023])).
% 4.44/4.68 tff(25025,plain,
% 4.44/4.68 (~r(z, s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[24989, 23408, 162, 24899, 25022, 23432, 25024, 234])).
% 4.44/4.68 tff(25026,plain,
% 4.44/4.68 (b(z, s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[149, 25025])).
% 4.44/4.68 tff(25027,plain,
% 4.44/4.68 (~b(s(s(s(z))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[11035, 11485, 747, 3254, 1494, 1414, 234, 3348])).
% 4.44/4.68 tff(25028,plain,
% 4.44/4.68 (r(s(s(s(z))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[437, 25027])).
% 4.44/4.68 tff(25029,plain,
% 4.44/4.68 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[3708, 25028, 108])).
% 4.44/4.68 tff(25030,plain,
% 4.44/4.68 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[689, 25029])).
% 4.44/4.68 tff(25031,plain,
% 4.44/4.68 (~r(z, s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[2908, 25028, 108])).
% 4.44/4.68 tff(25032,plain,
% 4.44/4.68 (b(z, s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[403, 25031])).
% 4.44/4.68 tff(25033,plain,
% 4.44/4.68 ((~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[24514, 338, 11485, 1741, 3348, 175])).
% 4.44/4.68 tff(25034,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25033, 25032, 25030])).
% 4.44/4.68 tff(25035,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~(s(s(elem!1)) = s(s(s(s(elem!1)))))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, elem!1)) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(25036,plain,
% 4.44/4.68 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25035, 25024, 25026, 24899, 23432, 25022, 25021, 23413, 234, 25020])).
% 4.44/4.68 tff(25037,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[119, 25036])).
% 4.44/4.68 tff(25038,plain,
% 4.44/4.68 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25018, 747, 1272, 234, 1880, 165, 1353])).
% 4.44/4.68 tff(25039,plain,
% 4.44/4.68 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1011, 25038])).
% 4.44/4.68 tff(25040,plain,
% 4.44/4.68 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25035, 24079, 24991, 24901, 747, 24720, 23434, 5446, 234, 25039])).
% 4.44/4.68 tff(25041,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[119, 25040])).
% 4.44/4.68 tff(25042,plain,
% 4.44/4.68 (~b(s(s(s(z))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[11064, 24025, 23457, 23488, 747, 5446, 25039, 5483, 25041, 24720, 23434, 234, 24991])).
% 4.44/4.68 tff(25043,plain,
% 4.44/4.68 (r(s(s(s(z))), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[437, 25042])).
% 4.44/4.68 tff(25044,plain,
% 4.44/4.68 (~b(s(z), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[24307, 25043, 24079, 24901, 1272, 24991, 747, 165, 1353, 25041, 1880, 24027, 24025])).
% 4.44/4.68 tff(25045,plain,
% 4.44/4.68 (r(s(z), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[424, 25044])).
% 4.44/4.68 tff(25046,plain,
% 4.44/4.68 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[5882, 25045, 25039])).
% 4.44/4.68 tff(25047,plain,
% 4.44/4.68 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[534, 25046])).
% 4.44/4.68 tff(25048,plain,
% 4.44/4.68 (~b(s(z), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[24048, 1731, 747, 24720, 24901, 25039, 25041, 1880, 165, 1272, 234])).
% 4.44/4.68 tff(25049,plain,
% 4.44/4.68 (r(s(z), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[26, 25048])).
% 4.44/4.68 tff(25050,plain,
% 4.44/4.68 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[4106, 25045, 25039])).
% 4.44/4.68 tff(25051,plain,
% 4.44/4.68 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[106, 25050])).
% 4.44/4.68 tff(25052,plain,
% 4.44/4.68 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[10998, 25051, 24025, 747, 25041])).
% 4.44/4.68 tff(25053,plain,
% 4.44/4.68 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[368, 25052, 23701])).
% 4.44/4.68 tff(25054,plain,
% 4.44/4.68 (~b(z, s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[3906, 338, 476, 1741, 2892, 2431])).
% 4.44/4.68 tff(25055,plain,
% 4.44/4.68 (r(z, s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[563, 25054])).
% 4.44/4.68 tff(25056,plain,
% 4.44/4.68 (~r(s(z), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[619, 25055, 405])).
% 4.44/4.68 tff(25057,plain,
% 4.44/4.68 (b(s(z), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[455, 25056])).
% 4.44/4.68 tff(25058,plain,
% 4.44/4.68 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[2939, 25057, 427, 1731, 651])).
% 4.44/4.68 tff(25059,plain,
% 4.44/4.68 (r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[68, 25058])).
% 4.44/4.68 tff(25060,plain,
% 4.44/4.68 (~r(s(s(elem!1)), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[11092, 82, 71, 370])).
% 4.44/4.68 tff(25061,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25060, 24219])).
% 4.44/4.68 tff(25062,plain,((~r(elem!1, s(s(z)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(25063,plain,
% 4.44/4.68 (~r(elem!1, s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25062, 25059, 1272, 370])).
% 4.44/4.68 tff(25064,plain,
% 4.44/4.68 (b(elem!1, s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[2442, 25063, 5623])).
% 4.44/4.68 tff(25065,plain,
% 4.44/4.68 (b(s(s(elem!1)), s(s(z)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[25064, 24211])).
% 4.44/4.68 tff(25066,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(25067,plain,
% 4.44/4.68 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(25068,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z))))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25067])).
% 4.44/4.68 tff(25069,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[25068, 25066])).
% 4.44/4.68 tff(25070,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(elem!1)))))),
% 4.44/4.68 inference(quant_inst,[status(thm)],[])).
% 4.44/4.68 tff(25071,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z))))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[25070, 25069])).
% 4.44/4.68 tff(25072,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25071, 338, 476, 747, 2892, 2431, 25057, 25065])).
% 4.44/4.68 tff(25073,plain,((~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(25074,plain,
% 4.44/4.68 (~b(s(s(z)), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25073, 25053, 747, 1272, 24079, 1731, 25043, 25051, 25049, 25047])).
% 4.44/4.68 tff(25075,plain,
% 4.44/4.68 (r(s(s(z)), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[956, 25074])).
% 4.44/4.68 tff(25076,plain,
% 4.44/4.68 (~r(s(z), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[2501, 82, 25049, 25075])).
% 4.44/4.68 tff(25077,plain,
% 4.44/4.68 (b(s(z), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[455, 25076])).
% 4.44/4.68 tff(25078,plain,
% 4.44/4.68 (~r(s(s(z)), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[17850, 82, 25049, 25075])).
% 4.44/4.68 tff(25079,plain,
% 4.44/4.68 (b(s(s(z)), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[472, 25078])).
% 4.44/4.68 tff(25080,plain,
% 4.44/4.68 (~b(s(s(elem!1)), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[11079, 25079, 747, 24025, 25077])).
% 4.44/4.68 tff(25081,plain,
% 4.44/4.68 (~b(elem!1, s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[24214, 25080, 1272])).
% 4.44/4.68 tff(25082,plain,
% 4.44/4.68 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[2939, 25077, 1731, 25043, 25051])).
% 4.44/4.68 tff(25083,plain,
% 4.44/4.68 (r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[68, 25082])).
% 4.44/4.68 tff(25084,plain,
% 4.44/4.68 (~r(elem!1, s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25062, 25083, 25053, 1272])).
% 4.44/4.68 tff(25085,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[2442, 25084, 25081, 5623])).
% 4.44/4.68 tff(25086,plain,((~r(z, s(z))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(25087,plain,
% 4.44/4.68 (~r(z, s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25086, 23408, 23432, 162, 23418, 23431, 234])).
% 4.44/4.68 tff(25088,plain,
% 4.44/4.68 (b(z, s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[403, 25087])).
% 4.44/4.68 tff(25089,plain,
% 4.44/4.68 (~b(s(z), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[11197, 338, 23432, 25088, 25037, 24899, 25022])).
% 4.44/4.68 tff(25090,plain,
% 4.44/4.68 (r(s(z), s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[424, 25089])).
% 4.44/4.68 tff(25091,plain,
% 4.44/4.68 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[4106, 25090, 25020])).
% 4.44/4.68 tff(25092,plain,
% 4.44/4.68 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[106, 25091])).
% 4.44/4.68 tff(25093,plain,
% 4.44/4.68 (~b(z, s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[6869, 25088, 25092, 25037, 24899])).
% 4.44/4.68 tff(25094,plain,
% 4.44/4.68 (r(z, s(s(s(s(z)))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[391, 25093])).
% 4.44/4.68 tff(25095,plain,
% 4.44/4.68 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[10588, 25094, 162])).
% 4.44/4.68 tff(25096,plain,
% 4.44/4.68 (~r(s(s(s(s(z)))), elem!1)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[23835, 25095, 23408])).
% 4.44/4.68 tff(25097,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1144, 25096, 23416])).
% 4.44/4.68 tff(25098,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[3464, 25097, 23413])).
% 4.44/4.68 tff(25099,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(25100,plain,
% 4.44/4.68 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(25101,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25100])).
% 4.44/4.68 tff(25102,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[25101, 25099])).
% 4.44/4.68 tff(25103,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.68 inference(quant_inst,[status(thm)],[])).
% 4.44/4.68 tff(25104,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[25103, 25102])).
% 4.44/4.68 tff(25105,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25104, 338, 23432, 25088, 25092, 25037, 24899, 25098])).
% 4.44/4.68 tff(25106,plain,(b(s(s(s(elem!1))), s(s(elem!1))) | (~r(z, elem!1)) | b(z, s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(25107,plain,
% 4.44/4.68 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25106, 23407, 140, 7050])).
% 4.44/4.68 tff(25108,plain,
% 4.44/4.68 (elem!1 = s(s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[16059, 23407, 2605, 25107, 140])).
% 4.44/4.68 tff(25109,plain,
% 4.44/4.68 (s(s(s(elem!1))) = s(elem!1)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1418, 25108])).
% 4.44/4.68 tff(25110,plain,
% 4.44/4.68 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25109])).
% 4.44/4.68 tff(25111,plain,
% 4.44/4.68 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[25110, 3630])).
% 4.44/4.68 tff(25112,plain,
% 4.44/4.68 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25111])).
% 4.44/4.68 tff(25113,plain,
% 4.44/4.68 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1431, 25108])).
% 4.44/4.68 tff(25114,plain,
% 4.44/4.68 (~(s(elem!1) = s(s(s(s(z)))))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[25113, 25112])).
% 4.44/4.68 tff(25115,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[15245, 23407, 25107, 2605, 140])).
% 4.44/4.68 tff(25116,plain,
% 4.44/4.68 (b(elem!1, s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25108])).
% 4.44/4.68 tff(25117,plain,
% 4.44/4.68 (b(s(s(elem!1)), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 4.44/4.68 inference(symmetry,[status(thm)],[25116])).
% 4.44/4.68 tff(25118,plain,
% 4.44/4.68 ((~b(s(s(elem!1)), s(elem!1))) <=> (~b(elem!1, s(elem!1)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25117])).
% 4.44/4.68 tff(25119,plain,
% 4.44/4.68 (~b(elem!1, s(elem!1))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[2605, 25118])).
% 4.44/4.68 tff(25120,plain,
% 4.44/4.68 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25108])).
% 4.44/4.68 tff(25121,plain,
% 4.44/4.68 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.44/4.68 inference(symmetry,[status(thm)],[25120])).
% 4.44/4.68 tff(25122,plain,
% 4.44/4.68 (s(elem!1) = s(s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[217, 25109])).
% 4.44/4.68 tff(25123,plain,
% 4.44/4.68 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[3225, 25122])).
% 4.44/4.68 tff(25124,plain,
% 4.44/4.68 (elem!1 = s(s(s(s(elem!1))))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[25123, 25121])).
% 4.44/4.68 tff(25125,plain,
% 4.44/4.68 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(s(elem!1)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25108])).
% 4.44/4.68 tff(25126,plain,
% 4.44/4.68 (b(s(elem!1), s(s(elem!1))) <=> b(s(elem!1), elem!1)),
% 4.44/4.68 inference(symmetry,[status(thm)],[25125])).
% 4.44/4.68 tff(25127,plain,
% 4.44/4.68 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25109])).
% 4.44/4.68 tff(25128,plain,
% 4.44/4.68 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(elem!1), elem!1)),
% 4.44/4.68 inference(transitivity,[status(thm)],[25127, 25126])).
% 4.44/4.68 tff(25129,plain,
% 4.44/4.68 (b(s(elem!1), elem!1)),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[25107, 25128])).
% 4.44/4.68 tff(25130,plain,
% 4.44/4.68 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25108])).
% 4.44/4.68 tff(25131,plain,
% 4.44/4.68 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 4.44/4.68 inference(symmetry,[status(thm)],[25130])).
% 4.44/4.68 tff(25132,plain,
% 4.44/4.68 (s(s(elem!1)) = elem!1),
% 4.44/4.68 inference(symmetry,[status(thm)],[25108])).
% 4.44/4.68 tff(25133,plain,
% 4.44/4.68 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 4.44/4.68 inference(symmetry,[status(thm)],[25123])).
% 4.44/4.68 tff(25134,plain,
% 4.44/4.68 (s(s(s(s(elem!1)))) = elem!1),
% 4.44/4.68 inference(transitivity,[status(thm)],[25133, 25132])).
% 4.44/4.68 tff(25135,plain,
% 4.44/4.68 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(elem!1, elem!1)),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25134, 25132])).
% 4.44/4.68 tff(25136,plain,
% 4.44/4.68 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.44/4.68 inference(symmetry,[status(thm)],[25135])).
% 4.44/4.68 tff(25137,plain,
% 4.44/4.68 (b(elem!1, elem!1) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 4.44/4.68 inference(transitivity,[status(thm)],[25136, 25131])).
% 4.44/4.68 tff(25138,plain,
% 4.44/4.68 ((~b(elem!1, elem!1)) <=> (~b(s(s(s(s(elem!1)))), elem!1))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25137])).
% 4.44/4.68 tff(25139,plain,
% 4.44/4.68 (~b(s(s(s(s(elem!1)))), elem!1)),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[7551, 25138])).
% 4.44/4.68 tff(25140,plain,
% 4.44/4.68 (~(s(s(s(elem!1))) = elem!1)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[6576, 25139, 25129])).
% 4.44/4.68 tff(25141,plain,
% 4.44/4.68 (~(elem!1 = s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[10900, 25140, 25124])).
% 4.44/4.68 tff(25142,plain,
% 4.44/4.68 (r(elem!1, s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[252, 25141, 25119])).
% 4.44/4.68 tff(25143,plain,
% 4.44/4.68 (~r(z, s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[243, 25142, 23407])).
% 4.44/4.68 tff(25144,plain,
% 4.44/4.68 (b(z, s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1615, 25143])).
% 4.44/4.68 tff(25145,plain,
% 4.44/4.68 (b(s(elem!1), s(s(elem!1)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[25107, 25127])).
% 4.44/4.68 tff(25146,plain,
% 4.44/4.68 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1287, 25140])).
% 4.44/4.68 tff(25147,plain,
% 4.44/4.68 (~(s(s(elem!1)) = s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1343, 25146])).
% 4.44/4.68 tff(25148,plain,
% 4.44/4.68 (r(s(s(elem!1)), s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[277, 25147, 2605])).
% 4.44/4.68 tff(25149,plain,
% 4.44/4.68 (b(s(z), s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[15915, 23407, 2605, 25107, 140])).
% 4.44/4.68 tff(25150,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[11370, 25115, 25149, 23407, 2605, 25107, 162])).
% 4.44/4.68 tff(25151,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(25152,plain,
% 4.44/4.68 (((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(25153,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[25152])).
% 4.44/4.68 tff(25154,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[25153, 25151])).
% 4.44/4.68 tff(25155,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.44/4.68 inference(quant_inst,[status(thm)],[])).
% 4.44/4.68 tff(25156,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[25155, 25154])).
% 4.44/4.68 tff(25157,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25156, 338, 747, 10943, 10935, 2911, 11227, 3484])).
% 4.44/4.68 tff(25158,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, s(z))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(25159,plain,
% 4.44/4.68 (~r(z, s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[25158, 2911, 747, 3484, 1414, 1731, 234])).
% 4.44/4.68 tff(25160,plain,
% 4.44/4.68 (b(z, s(s(s(z))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[149, 25159])).
% 4.44/4.68 tff(25161,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(25162,plain,
% 4.44/4.69 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(25163,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25162])).
% 4.44/4.69 tff(25164,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[25163, 25161])).
% 4.44/4.69 tff(25165,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(25166,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[25165, 25164])).
% 4.44/4.69 tff(25167,plain,
% 4.44/4.69 (~b(s(z), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25166, 338, 747, 10935, 1620, 2911, 3484])).
% 4.44/4.69 tff(25168,plain,
% 4.44/4.69 (~b(s(z), s(s(s(elem!1))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11130, 25167, 1419])).
% 4.44/4.69 tff(25169,plain,
% 4.44/4.69 (r(s(z), s(s(s(elem!1))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1870, 25168])).
% 4.44/4.69 tff(25170,plain,
% 4.44/4.69 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11584, 2911, 3484, 10908, 9850, 9848])).
% 4.44/4.69 tff(25171,plain,
% 4.44/4.69 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[106, 25170])).
% 4.44/4.69 tff(25172,plain,
% 4.44/4.69 ((~(s(s(elem!1)) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[11002])).
% 4.44/4.69 tff(25173,plain,
% 4.44/4.69 (~(elem!1 = s(s(s(s(z)))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[3237, 25172])).
% 4.44/4.69 tff(25174,plain,
% 4.44/4.69 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.44/4.69 inference(symmetry,[status(thm)],[3207])).
% 4.44/4.69 tff(25175,plain,
% 4.44/4.69 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(elem!1, s(s(s(s(z))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25174])).
% 4.44/4.69 tff(25176,plain,
% 4.44/4.69 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[15243, 338, 747, 10935, 2911, 3484])).
% 4.44/4.69 tff(25177,plain,
% 4.44/4.69 (~b(elem!1, s(s(s(s(z)))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[25176, 25175])).
% 4.44/4.69 tff(25178,plain,
% 4.44/4.69 (r(elem!1, s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1094, 25177, 25173])).
% 4.44/4.69 tff(25179,plain,
% 4.44/4.69 (b(elem!1, s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[819, 9850, 22156])).
% 4.44/4.69 tff(25180,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[1414])).
% 4.44/4.69 tff(25181,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.44/4.69 inference(symmetry,[status(thm)],[25180])).
% 4.44/4.69 tff(25182,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), elem!1)),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[3484, 25181])).
% 4.44/4.69 tff(25183,plain,
% 4.44/4.69 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[368, 25176, 3237])).
% 4.44/4.69 tff(25184,plain,
% 4.44/4.69 (~r(z, s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11465, 25171, 1731])).
% 4.44/4.69 tff(25185,plain,
% 4.44/4.69 (b(z, s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[391, 25184])).
% 4.44/4.69 tff(25186,plain,
% 4.44/4.69 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[1419])).
% 4.44/4.69 tff(25187,plain,
% 4.44/4.69 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25186])).
% 4.44/4.69 tff(25188,plain,
% 4.44/4.69 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[13712, 25187])).
% 4.44/4.69 tff(25189,plain,
% 4.44/4.69 (r(s(z), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3066, 25167, 10718])).
% 4.44/4.69 tff(25190,plain,
% 4.44/4.69 (~r(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[8549, 25189, 25171])).
% 4.44/4.69 tff(25191,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[4914, 25190, 25188])).
% 4.44/4.69 tff(25192,plain,
% 4.44/4.69 (r(s(s(s(elem!1))), z) <=> r(s(elem!1), z)),
% 4.44/4.69 inference(monotonicity,[status(thm)],[1419])).
% 4.44/4.69 tff(25193,plain,
% 4.44/4.69 ((~r(s(s(s(elem!1))), z)) <=> (~r(s(elem!1), z))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25192])).
% 4.44/4.69 tff(25194,plain,
% 4.44/4.69 (~r(s(s(s(elem!1))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11137, 405, 1854])).
% 4.44/4.69 tff(25195,plain,
% 4.44/4.69 (~r(s(elem!1), z)),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[25194, 25193])).
% 4.44/4.69 tff(25196,plain,
% 4.44/4.69 (b(s(elem!1), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1812, 25195])).
% 4.44/4.69 tff(25197,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2959, 427, 72])).
% 4.44/4.69 tff(25198,plain,
% 4.44/4.69 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[689, 25197])).
% 4.44/4.69 tff(25199,plain,
% 4.44/4.69 (~r(s(s(s(z))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[432, 427, 405])).
% 4.44/4.69 tff(25200,plain,
% 4.44/4.69 (b(s(s(s(z))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[135, 25199])).
% 4.44/4.69 tff(25201,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11252, 25200, 25198, 3663, 175, 555, 1796])).
% 4.44/4.69 tff(25202,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(25203,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25202, 25196, 175, 555, 3663, 405, 72])).
% 4.44/4.69 tff(25204,plain,
% 4.44/4.69 (b(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[437, 25203])).
% 4.44/4.69 tff(25205,plain,
% 4.44/4.69 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[15106, 25204, 2911, 555, 22153, 1130, 831, 234, 10941, 314, 3239, 3663])).
% 4.44/4.69 tff(25206,plain,
% 4.44/4.69 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1011, 25205])).
% 4.44/4.69 tff(25207,plain,
% 4.44/4.69 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11064, 25206, 747, 764, 11006, 1414, 11005, 2911, 10941, 25204, 3226, 234, 3348])).
% 4.44/4.69 tff(25208,plain,
% 4.44/4.69 (r(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1221, 21, 1429, 25207])).
% 4.44/4.69 tff(25209,plain,
% 4.44/4.69 (~r(s(s(s(z))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11433, 25208, 165])).
% 4.44/4.69 tff(25210,plain,
% 4.44/4.69 (b(s(s(s(z))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[135, 25209])).
% 4.44/4.69 tff(25211,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[14568, 25208, 370])).
% 4.44/4.69 tff(25212,plain,
% 4.44/4.69 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[689, 25211])).
% 4.44/4.69 tff(25213,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11252, 25212, 25210, 3663, 175, 555, 25196])).
% 4.44/4.69 tff(25214,plain,((~r(s(z), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(z))) | (~b(s(elem!1), elem!1)) | (~r(elem!1, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(25215,plain,
% 4.44/4.69 (~r(s(z), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25214, 25191, 175, 25185, 25183, 165, 747, 10935, 1414, 2911, 234, 25160, 25182, 25179, 314, 25178, 25171, 25169])).
% 4.44/4.69 tff(25216,plain,
% 4.44/4.69 (b(s(z), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[26, 25215])).
% 4.44/4.69 tff(25217,plain,
% 4.44/4.69 (~b(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[15106, 987, 2911, 555, 1103, 1130, 831, 234, 1050, 314, 3239, 3663])).
% 4.44/4.69 tff(25218,plain,
% 4.44/4.69 (r(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[437, 25217])).
% 4.44/4.69 tff(25219,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2959, 25218, 72])).
% 4.44/4.69 tff(25220,plain,
% 4.44/4.69 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[689, 25219])).
% 4.44/4.69 tff(25221,plain,
% 4.44/4.69 (~b(s(s(s(z))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[10509, 25220, 175, 3348, 987])).
% 4.44/4.69 tff(25222,plain,
% 4.44/4.69 (r(s(s(s(z))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[135, 25221])).
% 4.44/4.69 tff(25223,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11433, 25222, 165])).
% 4.44/4.69 tff(25224,plain,
% 4.44/4.69 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11175, 987, 175, 747, 72, 3348, 555])).
% 4.44/4.69 tff(25225,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1221, 21, 871, 25224, 25223])).
% 4.44/4.69 tff(25226,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (s(s(s(z))) = elem!1) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(z))) | (~r(z, elem!1)) | (elem!1 = s(s(s(z)))) | (~b(s(elem!1), elem!1)) | (~r(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(25227,plain,
% 4.44/4.69 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25226, 25160, 165, 175, 1429, 25171, 2911, 25185, 22153, 25182, 25179, 234, 10941, 314, 25178, 25191, 747])).
% 4.44/4.69 tff(25228,plain,
% 4.44/4.69 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1011, 25227])).
% 4.44/4.69 tff(25229,plain,
% 4.44/4.69 (~r(s(z), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[4106, 25228, 25171])).
% 4.44/4.69 tff(25230,plain,
% 4.44/4.69 (b(s(z), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[424, 25229])).
% 4.44/4.69 tff(25231,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(25232,plain,
% 4.44/4.69 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(25233,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25232])).
% 4.44/4.69 tff(25234,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[25233, 25231])).
% 4.44/4.69 tff(25235,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(25236,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 4.44/4.69 tff(25237,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25236, 338, 25230, 25216, 25160, 10935, 2911, 3484])).
% 4.44/4.69 tff(25238,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~r(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, s(z))) | (~b(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(25239,plain,
% 4.44/4.69 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25238, 1731, 165, 175, 234, 314, 747, 1414, 3484, 1620])).
% 4.44/4.69 tff(25240,plain,
% 4.44/4.69 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[119, 25239])).
% 4.44/4.69 tff(25241,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2908, 25240, 1731])).
% 4.44/4.69 tff(25242,plain,
% 4.44/4.69 (b(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[437, 25241])).
% 4.44/4.69 tff(25243,plain,
% 4.44/4.69 ((s(s(s(s(z)))) = s(s(s(elem!1)))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[25186, 3630])).
% 4.44/4.69 tff(25244,plain,
% 4.44/4.69 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25243])).
% 4.44/4.69 tff(25245,plain,
% 4.44/4.69 (~(s(elem!1) = s(s(s(s(z)))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[13712, 25244])).
% 4.44/4.69 tff(25246,plain,
% 4.44/4.69 ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[24821, 338, 747, 458, 10935, 3484])).
% 4.44/4.69 tff(25247,plain,
% 4.44/4.69 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25246, 651])).
% 4.44/4.69 tff(25248,plain,
% 4.44/4.69 (r(s(s(s(z))), s(s(elem!1)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1221, 21, 1429, 25247])).
% 4.44/4.69 tff(25249,plain,
% 4.44/4.69 (~r(s(s(s(z))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11433, 25248, 165])).
% 4.44/4.69 tff(25250,plain,
% 4.44/4.69 ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11045, 338, 747, 458, 10935, 3484])).
% 4.44/4.69 tff(25251,plain,
% 4.44/4.69 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25250, 651])).
% 4.44/4.69 tff(25252,plain,
% 4.44/4.69 (~b(elem!1, s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3458, 25251, 1414])).
% 4.44/4.69 tff(25253,plain,
% 4.44/4.69 (r(elem!1, s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1160, 25252, 10941])).
% 4.44/4.69 tff(25254,plain,
% 4.44/4.69 (~r(z, s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3328, 25253, 234])).
% 4.44/4.69 tff(25255,plain,
% 4.44/4.69 (b(z, s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[149, 25254])).
% 4.44/4.69 tff(25256,plain,
% 4.44/4.69 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11584, 651, 193, 3484, 176, 813])).
% 4.44/4.69 tff(25257,plain,
% 4.44/4.69 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[119, 25256])).
% 4.44/4.69 tff(25258,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2908, 25257, 1731])).
% 4.44/4.69 tff(25259,plain,
% 4.44/4.69 (b(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[437, 25258])).
% 4.44/4.69 tff(25260,plain,
% 4.44/4.69 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[14836, 651, 764, 747, 3484])).
% 4.44/4.69 tff(25261,plain,
% 4.44/4.69 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11056, 25260, 747, 363, 764, 651, 3484, 6879, 25259])).
% 4.44/4.69 tff(25262,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1011, 25261])).
% 4.44/4.69 tff(25263,plain,
% 4.44/4.69 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[368, 25260, 363])).
% 4.44/4.69 tff(25264,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[14568, 25263, 163])).
% 4.44/4.69 tff(25265,plain,
% 4.44/4.69 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[689, 25264])).
% 4.44/4.69 tff(25266,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[10509, 25265, 25262, 175, 1741, 3348])).
% 4.44/4.69 tff(25267,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(z, s(z))) | (~(s(s(elem!1)) = elem!1)) | r(s(z), elem!1) | r(elem!1, s(z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(25268,plain,
% 4.44/4.69 (~b(s(s(s(z))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25267, 25248, 175, 3484, 10935, 747, 3237, 651, 25255, 11006, 1731, 10908, 9848, 9850])).
% 4.44/4.69 tff(25269,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[135, 25268, 25249])).
% 4.44/4.69 tff(25270,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(25271,plain,
% 4.44/4.69 (~b(s(z), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25270, 1731, 3484, 747, 175, 165, 234, 1414, 25242])).
% 4.44/4.69 tff(25272,plain,
% 4.44/4.69 (r(s(z), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[106, 25271])).
% 4.44/4.69 tff(25273,plain,
% 4.44/4.69 (~r(s(elem!1), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[15673, 25272, 175, 25245, 25182, 25188, 25240, 314, 1597])).
% 4.44/4.69 tff(25274,plain,
% 4.44/4.69 (b(s(elem!1), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2070, 25273, 10614])).
% 4.44/4.69 tff(25275,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(25276,plain,
% 4.44/4.69 (((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z)))) <=> ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(25277,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25276])).
% 4.44/4.69 tff(25278,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[25277, 25275])).
% 4.44/4.69 tff(25279,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(25280,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[25279, 25278])).
% 4.44/4.69 tff(25281,plain,
% 4.44/4.69 ((~b(s(elem!1), s(z))) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25280, 338, 747, 25242, 10935, 1620])).
% 4.44/4.69 tff(25282,plain,
% 4.44/4.69 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25281, 25274])).
% 4.44/4.69 tff(25283,plain,
% 4.44/4.69 (~b(elem!1, s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3458, 25282, 1414])).
% 4.44/4.69 tff(25284,plain,
% 4.44/4.69 (r(elem!1, s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1160, 25283, 10941])).
% 4.44/4.69 tff(25285,plain,
% 4.44/4.69 (~r(z, s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3328, 25284, 234])).
% 4.44/4.69 tff(25286,plain,
% 4.44/4.69 (b(z, s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[149, 25285])).
% 4.44/4.69 tff(25287,plain,
% 4.44/4.69 (~b(s(z), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3092, 25274, 747, 10935, 1620])).
% 4.44/4.69 tff(25288,plain,
% 4.44/4.69 (r(s(z), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3066, 25287, 10718])).
% 4.44/4.69 tff(25289,plain,
% 4.44/4.69 (~r(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[8549, 25288, 25272])).
% 4.44/4.69 tff(25290,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[4914, 25289, 25188])).
% 4.44/4.69 tff(25291,plain,
% 4.44/4.69 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1428, 213])).
% 4.44/4.69 tff(25292,plain,
% 4.44/4.69 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1207, 25291])).
% 4.44/4.69 tff(25293,plain,
% 4.44/4.69 (~r(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2908, 108, 1731])).
% 4.44/4.69 tff(25294,plain,
% 4.44/4.69 (b(s(s(s(z))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[437, 25293])).
% 4.44/4.69 tff(25295,plain,
% 4.44/4.69 ((~b(s(elem!1), s(z))) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25280, 338, 747, 25294, 764, 1620])).
% 4.44/4.69 tff(25296,plain,
% 4.44/4.69 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25295, 3084])).
% 4.44/4.69 tff(25297,plain,
% 4.44/4.69 (r(s(s(elem!1)), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1211, 21, 25296, 25292])).
% 4.44/4.69 tff(25298,plain,
% 4.44/4.69 (r(s(s(s(elem!1))), z) <=> r(s(elem!1), z)),
% 4.44/4.69 inference(monotonicity,[status(thm)],[213])).
% 4.44/4.69 tff(25299,plain,
% 4.44/4.69 ((~r(s(s(s(elem!1))), z)) <=> (~r(s(elem!1), z))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25298])).
% 4.44/4.69 tff(25300,plain,
% 4.44/4.69 (~b(s(z), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3092, 3084, 747, 764, 1620])).
% 4.44/4.69 tff(25301,plain,
% 4.44/4.69 (~b(s(z), s(s(s(elem!1))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11130, 25300, 213])).
% 4.44/4.69 tff(25302,plain,
% 4.44/4.69 (r(s(z), s(s(s(elem!1))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1870, 25301])).
% 4.44/4.69 tff(25303,plain,
% 4.44/4.69 (~r(s(s(s(elem!1))), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11137, 405, 25302])).
% 4.44/4.69 tff(25304,plain,
% 4.44/4.69 (~r(s(elem!1), z)),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[25303, 25299])).
% 4.44/4.69 tff(25305,plain,
% 4.44/4.69 (b(s(elem!1), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1812, 25304])).
% 4.44/4.69 tff(25306,plain,
% 4.44/4.69 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1463, 10727, 108, 25294, 1038])).
% 4.44/4.69 tff(25307,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[68, 25306])).
% 4.44/4.69 tff(25308,plain,
% 4.44/4.69 (~r(s(z), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2503, 25307, 175, 405, 2360, 1731])).
% 4.44/4.69 tff(25309,plain,
% 4.44/4.69 (b(s(z), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[455, 25308])).
% 4.44/4.69 tff(25310,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(25311,plain,
% 4.44/4.69 (((~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z)))) <=> ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(25312,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[25311])).
% 4.44/4.69 tff(25313,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[25312, 25310])).
% 4.44/4.69 tff(25314,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(25315,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(z))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[25314, 25313])).
% 4.44/4.69 tff(25316,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25315, 338, 747, 764, 1620, 3084, 474, 11071])).
% 4.44/4.69 tff(25317,plain,((~b(s(s(elem!1)), s(s(z)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(25318,plain,
% 4.44/4.69 (~b(s(s(elem!1)), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25317, 25309, 764, 1620, 3084, 747])).
% 4.44/4.69 tff(25319,plain,
% 4.44/4.69 (r(s(s(elem!1)), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11083, 21, 25318, 10936])).
% 4.44/4.69 tff(25320,plain,
% 4.44/4.69 (~r(s(s(z)), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[17012, 25319, 6890])).
% 4.44/4.69 tff(25321,plain,
% 4.44/4.69 (b(s(s(z)), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[534, 25320])).
% 4.44/4.69 tff(25322,plain,
% 4.44/4.69 (~b(z, s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[11111, 25321, 3348, 1796, 175, 3663])).
% 4.44/4.69 tff(25323,plain,
% 4.44/4.69 (r(z, s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[563, 25322])).
% 4.44/4.69 tff(25324,plain,
% 4.44/4.69 (~b(s(s(z)), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[484, 25321, 25294, 10727, 25309])).
% 4.44/4.69 tff(25325,plain,
% 4.44/4.69 (r(s(s(z)), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[472, 25324])).
% 4.44/4.69 tff(25326,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2514, 25325, 25323, 1731])).
% 4.44/4.69 tff(25327,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(z))))) | (s(s(elem!1)) = s(s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(25328,plain,
% 4.44/4.69 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[25327, 25305, 3348, 1731, 175, 3663, 25297, 10936, 764, 1620, 3084, 747, 405, 108, 72])).
% 4.44/4.69 tff(25329,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1011, 25328])).
% 4.44/4.69 tff(25330,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(25331,plain,
% 4.54/4.70 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(elem!1), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(25332,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25331])).
% 4.54/4.70 tff(25333,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.70 inference(transitivity,[status(thm)],[25332, 25330])).
% 4.54/4.70 tff(25334,plain,
% 4.54/4.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 4.54/4.70 inference(quant_inst,[status(thm)],[])).
% 4.54/4.70 tff(25335,plain,
% 4.54/4.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.54/4.70 inference(modus_ponens,[status(thm)],[25334, 25333])).
% 4.54/4.70 tff(25336,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25335, 338, 25305, 3348, 25329, 175, 2360, 3663])).
% 4.54/4.70 tff(25337,plain,((~r(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(z))) | (s(s(elem!1)) = s(s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~(s(s(s(elem!1))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(25338,plain,
% 4.54/4.70 (~r(s(z), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25337, 25286, 175, 25290, 1731, 11325, 10935, 1620, 25274, 747, 25240, 25272, 1419])).
% 4.54/4.70 tff(25339,plain,
% 4.54/4.70 (b(s(z), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[26, 25338])).
% 4.54/4.70 tff(25340,plain,
% 4.54/4.70 (~r(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[2112, 25240, 1731])).
% 4.54/4.70 tff(25341,plain,
% 4.54/4.70 (b(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[391, 25340])).
% 4.54/4.70 tff(25342,plain,
% 4.54/4.70 (r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1221, 21, 1429, 25224])).
% 4.54/4.70 tff(25343,plain,
% 4.54/4.70 (~r(s(s(s(z))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[11433, 25342, 165])).
% 4.54/4.70 tff(25344,plain,
% 4.54/4.70 (b(s(s(s(z))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[135, 25343])).
% 4.54/4.70 tff(25345,plain,
% 4.54/4.70 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[10509, 25344, 175, 3348, 987])).
% 4.54/4.70 tff(25346,plain,
% 4.54/4.70 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[689, 25345])).
% 4.54/4.70 tff(25347,plain,
% 4.54/4.70 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[14568, 25346, 25342])).
% 4.54/4.70 tff(25348,plain,
% 4.54/4.70 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[368, 25347, 3237])).
% 4.54/4.70 tff(25349,plain,
% 4.54/4.70 (~b(s(s(elem!1)), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[15478, 25348, 175, 3484, 555])).
% 4.54/4.70 tff(25350,plain,
% 4.54/4.70 (r(s(s(elem!1)), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[800, 25349])).
% 4.54/4.70 tff(25351,plain,
% 4.54/4.70 (~r(s(elem!1), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[5958, 25350, 264])).
% 4.54/4.70 tff(25352,plain,
% 4.54/4.70 (b(s(elem!1), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1812, 25351])).
% 4.54/4.70 tff(25353,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25335, 338, 1796, 3348, 987, 175, 555])).
% 4.54/4.70 tff(25354,plain,
% 4.54/4.70 (s(s(s(s(z)))) = s(elem!1)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[4914, 25353, 4908])).
% 4.54/4.70 tff(25355,plain,
% 4.54/4.70 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25354])).
% 4.54/4.70 tff(25356,plain,
% 4.54/4.70 (s(s(s(z))) = elem!1),
% 4.54/4.70 inference(transitivity,[status(thm)],[45, 25355, 199])).
% 4.54/4.70 tff(25357,plain,
% 4.54/4.70 (b(z, s(s(s(z)))) <=> b(z, elem!1)),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25356])).
% 4.54/4.70 tff(25358,plain,
% 4.54/4.70 (b(z, elem!1) <=> b(z, s(s(s(z))))),
% 4.54/4.70 inference(symmetry,[status(thm)],[25357])).
% 4.54/4.70 tff(25359,plain,
% 4.54/4.70 ((~b(z, elem!1)) <=> (~b(z, s(s(s(z)))))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25358])).
% 4.54/4.70 tff(25360,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(25361,plain,
% 4.54/4.70 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, elem!1))) <=> ((~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(25362,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25361])).
% 4.54/4.70 tff(25363,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.54/4.70 inference(transitivity,[status(thm)],[25362, 25360])).
% 4.54/4.70 tff(25364,plain,
% 4.54/4.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, elem!1)))),
% 4.54/4.70 inference(quant_inst,[status(thm)],[])).
% 4.54/4.70 tff(25365,plain,
% 4.54/4.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.54/4.70 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 4.54/4.70 tff(25366,plain,
% 4.54/4.70 (~b(z, elem!1)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25365, 338, 3918, 3348, 987, 175, 555])).
% 4.54/4.70 tff(25367,plain,
% 4.54/4.70 (~b(z, s(s(s(z))))),
% 4.54/4.70 inference(modus_ponens,[status(thm)],[25366, 25359])).
% 4.54/4.70 tff(25368,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[3348, 25367])).
% 4.54/4.70 tff(25369,plain,((~b(z, s(s(s(z))))) | r(s(s(s(s(z)))), s(elem!1)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(25370,plain,
% 4.54/4.70 (~b(elem!1, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25369, 25352, 4908, 3348, 175, 555, 987])).
% 4.54/4.70 tff(25371,plain,
% 4.54/4.70 (r(elem!1, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1094, 25370, 25173])).
% 4.54/4.70 tff(25372,plain,
% 4.54/4.70 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.70 inference(modus_ponens,[status(thm)],[25371, 22063])).
% 4.54/4.70 tff(25373,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25347, 25372])).
% 4.54/4.70 tff(25374,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~(elem!1 = s(s(elem!1)))) | r(s(s(s(s(z)))), s(elem!1)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(25375,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25374, 25289, 1414, 25286, 175, 25341, 264, 3484, 165, 747, 25272])).
% 4.54/4.70 tff(25376,plain,
% 4.54/4.70 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1011, 25375])).
% 4.54/4.70 tff(25377,plain,
% 4.54/4.70 (~r(s(z), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[4106, 25376, 25272])).
% 4.54/4.70 tff(25378,plain,
% 4.54/4.70 (b(s(z), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[424, 25377])).
% 4.54/4.70 tff(25379,plain,
% 4.54/4.70 (r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1211, 21, 25282, 11006])).
% 4.54/4.70 tff(25380,plain,
% 4.54/4.70 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[11053, 82, 25376, 25379])).
% 4.54/4.70 tff(25381,plain,
% 4.54/4.70 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[368, 25380, 3237])).
% 4.54/4.70 tff(25382,plain,
% 4.54/4.70 (~b(s(s(elem!1)), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[15478, 25381, 175, 3484, 25341])).
% 4.54/4.70 tff(25383,plain,
% 4.54/4.70 (r(s(s(elem!1)), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[800, 25382])).
% 4.54/4.70 tff(25384,plain,
% 4.54/4.70 (~r(s(s(s(z))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1230, 25383, 747, 1429, 25242, 25378])).
% 4.54/4.70 tff(25385,plain,
% 4.54/4.70 (b(s(s(s(z))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[135, 25384])).
% 4.54/4.70 tff(25386,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[24458, 338, 25378, 25385, 25339, 25286, 25242])).
% 4.54/4.70 tff(25387,plain,((~r(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(elem!1), elem!1)) | (~b(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(25388,plain,
% 4.54/4.70 (~r(z, s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25387, 25149, 25115, 25150, 25108, 25148, 162, 25145, 23407, 25129, 25144])).
% 4.54/4.70 tff(25389,plain,
% 4.54/4.70 (b(z, s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[403, 25388])).
% 4.54/4.70 tff(25390,plain,
% 4.54/4.70 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25108])).
% 4.54/4.70 tff(25391,plain,
% 4.54/4.70 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.70 inference(symmetry,[status(thm)],[25390])).
% 4.54/4.70 tff(25392,plain,
% 4.54/4.70 (b(s(s(s(s(z)))), elem!1)),
% 4.54/4.70 inference(modus_ponens,[status(thm)],[25150, 25391])).
% 4.54/4.70 tff(25393,plain,
% 4.54/4.70 ((~(s(s(s(s(z)))) = s(s(s(elem!1))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25110])).
% 4.54/4.70 tff(25394,plain,
% 4.54/4.70 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.54/4.70 inference(modus_ponens,[status(thm)],[25113, 25393])).
% 4.54/4.70 tff(25395,plain,
% 4.54/4.70 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[3236, 25108])).
% 4.54/4.70 tff(25396,plain,
% 4.54/4.70 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[368, 11372, 3237])).
% 4.54/4.70 tff(25397,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[11412, 164, 6879, 165, 371, 3484, 3253])).
% 4.54/4.70 tff(25398,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1011, 15884, 25397])).
% 4.54/4.70 tff(25399,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(25400,plain,
% 4.54/4.70 (~r(z, s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25399, 371, 11006, 165, 3484, 25396])).
% 4.54/4.70 tff(25401,plain,
% 4.54/4.70 (b(z, s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[149, 25400])).
% 4.54/4.70 tff(25402,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[11475, 651, 747, 3484, 3253])).
% 4.54/4.70 tff(25403,plain,
% 4.54/4.70 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[119, 25402])).
% 4.54/4.70 tff(25404,plain,
% 4.54/4.70 (~b(s(s(elem!1)), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[14836, 651, 747, 3484, 3253])).
% 4.54/4.70 tff(25405,plain,
% 4.54/4.70 (r(s(s(elem!1)), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[784, 25404])).
% 4.54/4.70 tff(25406,plain,
% 4.54/4.70 (~b(s(z), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[11489, 1038, 486, 3348, 108])).
% 4.54/4.70 tff(25407,plain,
% 4.54/4.70 (r(s(z), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[26, 25406])).
% 4.54/4.70 tff(25408,plain,
% 4.54/4.70 (~b(s(s(elem!1)), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[15304, 1038, 3484, 175, 371, 486, 108])).
% 4.54/4.70 tff(25409,plain,
% 4.54/4.70 (r(s(s(elem!1)), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[800, 25408])).
% 4.54/4.70 tff(25410,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[792, 25409, 25407, 786])).
% 4.54/4.70 tff(25411,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(25412,plain,
% 4.54/4.70 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25411, 25405, 3484, 175, 371, 486, 25403, 3348])).
% 4.54/4.70 tff(25413,plain,
% 4.54/4.70 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1011, 25412])).
% 4.54/4.70 tff(25414,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(25415,plain,
% 4.54/4.70 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(25416,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25415])).
% 4.54/4.70 tff(25417,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.54/4.70 inference(transitivity,[status(thm)],[25416, 25414])).
% 4.54/4.70 tff(25418,plain,
% 4.54/4.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))))),
% 4.54/4.70 inference(quant_inst,[status(thm)],[])).
% 4.54/4.70 tff(25419,plain,
% 4.54/4.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.54/4.70 inference(modus_ponens,[status(thm)],[25418, 25417])).
% 4.54/4.70 tff(25420,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25419, 338, 747, 3348, 25413, 651, 175, 3253])).
% 4.54/4.70 tff(25421,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(25422,plain,
% 4.54/4.70 (~b(s(z), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25421, 25401, 747, 175, 25396, 3484, 371, 486])).
% 4.54/4.70 tff(25423,plain,
% 4.54/4.70 (r(s(z), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[106, 25422])).
% 4.54/4.70 tff(25424,plain,
% 4.54/4.70 (~r(s(z), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[552, 25423, 371])).
% 4.54/4.70 tff(25425,plain,
% 4.54/4.70 (b(s(z), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[26, 25424])).
% 4.54/4.70 tff(25426,plain,
% 4.54/4.70 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[10813, 25425, 175, 486, 371, 25401])).
% 4.54/4.70 tff(25427,plain,
% 4.54/4.70 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[689, 25426])).
% 4.54/4.70 tff(25428,plain,
% 4.54/4.70 (~b(s(s(s(z))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[10509, 987, 175, 3348, 539])).
% 4.54/4.70 tff(25429,plain,
% 4.54/4.70 (r(s(s(s(z))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[135, 25428])).
% 4.54/4.70 tff(25430,plain,
% 4.54/4.70 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[11402, 987, 3484, 3253, 539])).
% 4.54/4.70 tff(25431,plain,
% 4.54/4.70 (~b(elem!1, s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[3458, 25430, 1414])).
% 4.54/4.70 tff(25432,plain,
% 4.54/4.70 (r(elem!1, s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1160, 25431, 10941])).
% 4.54/4.70 tff(25433,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[14818, 25432, 25429, 747, 10908, 486, 719, 1740, 234])).
% 4.54/4.70 tff(25434,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (elem!1 = z) | (~b(s(z), z)) | (~r(z, elem!1)) | (~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(25435,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[25434, 25425, 486, 10544, 747, 234, 1414, 175, 25401, 25427, 3484, 25396])).
% 4.54/4.70 tff(25436,plain,
% 4.54/4.70 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1011, 25435])).
% 4.54/4.70 tff(25437,plain,
% 4.54/4.70 (~r(s(z), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[4106, 25436, 25423])).
% 4.54/4.70 tff(25438,plain,
% 4.54/4.70 (b(s(z), s(s(s(z))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[424, 25437])).
% 4.54/4.70 tff(25439,plain,
% 4.54/4.70 (~b(s(s(s(z))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[3859, 25438, 486, 25425, 25401])).
% 4.54/4.70 tff(25440,plain,
% 4.54/4.70 (r(s(s(s(z))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[135, 25439])).
% 4.54/4.70 tff(25441,plain,
% 4.54/4.70 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[11489, 25436, 486, 25401, 25425])).
% 4.54/4.70 tff(25442,plain,
% 4.54/4.70 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[119, 25441])).
% 4.54/4.70 tff(25443,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(25444,plain,
% 4.54/4.70 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z)))))) <=> ((~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(25445,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[25444])).
% 4.54/4.70 tff(25446,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.54/4.70 inference(transitivity,[status(thm)],[25445, 25443])).
% 4.54/4.71 tff(25447,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.71 inference(quant_inst,[status(thm)],[])).
% 4.54/4.71 tff(25448,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[25447, 25446])).
% 4.54/4.71 tff(25449,plain,
% 4.54/4.71 ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25448, 338, 747, 25427, 3484, 25396])).
% 4.54/4.71 tff(25450,plain,
% 4.54/4.71 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25449, 25442])).
% 4.54/4.71 tff(25451,plain,
% 4.54/4.71 (~b(elem!1, s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3458, 25450, 1414])).
% 4.54/4.71 tff(25452,plain,
% 4.54/4.71 (r(elem!1, s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1160, 25451, 10941])).
% 4.54/4.71 tff(25453,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[14818, 25452, 25440, 747, 10908, 486, 10544, 25425, 234])).
% 4.54/4.71 tff(25454,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~r(z, elem!1)) | (~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(25455,plain,
% 4.54/4.71 (~r(z, s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25454, 25149, 25389, 23407, 25108, 25150, 25115, 162])).
% 4.54/4.71 tff(25456,plain,
% 4.54/4.71 (b(z, s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[391, 25455])).
% 4.54/4.71 tff(25457,plain,
% 4.54/4.71 (~b(s(z), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3505, 651, 175, 486, 555])).
% 4.54/4.71 tff(25458,plain,
% 4.54/4.71 (r(s(z), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[26, 25457])).
% 4.54/4.71 tff(25459,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(25460,plain,
% 4.54/4.71 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(25461,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[25460])).
% 4.54/4.71 tff(25462,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.54/4.71 inference(transitivity,[status(thm)],[25461, 25459])).
% 4.54/4.71 tff(25463,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 4.54/4.71 inference(quant_inst,[status(thm)],[])).
% 4.54/4.71 tff(25464,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 4.54/4.71 tff(25465,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25464, 338, 486, 1620, 651, 555, 3484])).
% 4.54/4.71 tff(25466,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[4914, 25465, 4864])).
% 4.54/4.71 tff(25467,plain,
% 4.54/4.71 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[8583, 82, 264, 25466])).
% 4.54/4.71 tff(25468,plain,
% 4.54/4.71 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[368, 25467, 363])).
% 4.54/4.71 tff(25469,plain,
% 4.54/4.71 (~b(s(s(elem!1)), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[15478, 25468, 175, 3484, 555])).
% 4.54/4.71 tff(25470,plain,
% 4.54/4.71 (r(s(s(elem!1)), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[800, 25469])).
% 4.54/4.71 tff(25471,plain,
% 4.54/4.71 (~b(s(s(elem!1)), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[14836, 25468, 747, 3484, 651])).
% 4.54/4.71 tff(25472,plain,
% 4.54/4.71 (r(s(s(elem!1)), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[784, 25471])).
% 4.54/4.71 tff(25473,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[792, 25472, 25470, 25458])).
% 4.54/4.71 tff(25474,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(s(s(z)))) = s(elem!1)) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(25475,plain,
% 4.54/4.71 (~b(s(z), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25474, 25149, 25150, 25115, 25456, 25395, 25148, 25394, 25389, 25145])).
% 4.54/4.71 tff(25476,plain,
% 4.54/4.71 (r(s(z), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[106, 25475])).
% 4.54/4.71 tff(25477,plain,
% 4.54/4.71 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[173, 164, 165])).
% 4.54/4.71 tff(25478,plain,
% 4.54/4.71 (b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1221, 21, 1429, 25477])).
% 4.54/4.71 tff(25479,plain,
% 4.54/4.71 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[1414])).
% 4.54/4.71 tff(25480,plain,
% 4.54/4.71 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), elem!1)),
% 4.54/4.71 inference(symmetry,[status(thm)],[25479])).
% 4.54/4.71 tff(25481,plain,
% 4.54/4.71 ((~r(s(s(s(z))), s(s(elem!1)))) <=> (~r(s(s(s(z))), elem!1))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[25480])).
% 4.54/4.71 tff(25482,plain,
% 4.54/4.71 (~r(s(s(s(z))), elem!1)),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[25477, 25481])).
% 4.54/4.71 tff(25483,plain,
% 4.54/4.71 (b(s(s(s(z))), elem!1)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1110, 25482, 22153])).
% 4.54/4.71 tff(25484,plain,
% 4.54/4.71 (~b(s(s(s(z))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[6876, 10727, 747, 3485, 3254])).
% 4.54/4.71 tff(25485,plain,
% 4.54/4.71 (r(s(s(s(z))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[437, 25484])).
% 4.54/4.71 tff(25486,plain,
% 4.54/4.71 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2959, 25485, 72])).
% 4.54/4.71 tff(25487,plain,
% 4.54/4.71 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 25486])).
% 4.54/4.71 tff(25488,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[24974, 25485, 747, 3226, 3254, 1414, 1038, 10941, 11005, 2380, 3485])).
% 4.54/4.71 tff(25489,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[119, 25488])).
% 4.54/4.71 tff(25490,plain,
% 4.54/4.71 (~b(s(s(elem!1)), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[7851, 10727, 747, 3485, 3254])).
% 4.54/4.71 tff(25491,plain,
% 4.54/4.71 (r(s(s(elem!1)), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[784, 25490])).
% 4.54/4.71 tff(25492,plain,
% 4.54/4.71 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[6732, 25491, 72])).
% 4.54/4.71 tff(25493,plain,
% 4.54/4.71 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[368, 25492, 3237])).
% 4.54/4.71 tff(25494,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3262, 25493, 25489, 175, 3254, 25487, 486])).
% 4.54/4.71 tff(25495,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~(elem!1 = s(s(elem!1)))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(25496,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25495, 25478, 175, 486, 72, 747, 1414, 25483, 11227])).
% 4.54/4.71 tff(25497,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1011, 25496])).
% 4.54/4.71 tff(25498,plain,
% 4.54/4.71 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2389, 25497, 11226, 1130, 25483])).
% 4.54/4.71 tff(25499,plain,
% 4.54/4.71 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 25498])).
% 4.54/4.71 tff(25500,plain,
% 4.54/4.71 (~r(s(s(s(z))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2959, 25499, 72])).
% 4.54/4.71 tff(25501,plain,
% 4.54/4.71 (b(s(s(s(z))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[437, 25500])).
% 4.54/4.71 tff(25502,plain,
% 4.54/4.71 (~r(s(z), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[11205, 25499, 72])).
% 4.54/4.71 tff(25503,plain,
% 4.54/4.71 (b(s(z), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[424, 25502])).
% 4.54/4.71 tff(25504,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[6876, 25503, 25501, 747, 11227, 25478])).
% 4.54/4.71 tff(25505,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~(elem!1 = s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(25506,plain,
% 4.54/4.71 (~r(z, s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25505, 25149, 25476, 25392, 25115, 25389, 25108, 162, 23407])).
% 4.54/4.71 tff(25507,plain,
% 4.54/4.71 (b(z, s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[149, 25506])).
% 4.54/4.71 tff(25508,plain,
% 4.54/4.71 (~(elem!1 = z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[10543, 23407, 12169])).
% 4.54/4.71 tff(25509,plain,
% 4.54/4.71 (~(z = elem!1)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2752, 25508])).
% 4.54/4.71 tff(25510,plain,
% 4.54/4.71 (~(s(elem!1) = s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1912, 25509])).
% 4.54/4.71 tff(25511,plain,
% 4.54/4.71 (~(s(z) = s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1919, 25510])).
% 4.54/4.71 tff(25512,plain,
% 4.54/4.71 (~b(s(z), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25474, 747, 3484, 175, 555, 3237, 264, 25188, 486, 1620])).
% 4.54/4.71 tff(25513,plain,
% 4.54/4.71 (r(s(z), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[106, 25512])).
% 4.54/4.71 tff(25514,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25374, 987, 1414, 555, 175, 3348, 264, 3484, 165, 747, 25513])).
% 4.54/4.71 tff(25515,plain,
% 4.54/4.71 (~r(s(z), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[8549, 25514, 25513])).
% 4.54/4.71 tff(25516,plain,
% 4.54/4.71 (b(s(z), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3066, 25515, 1949])).
% 4.54/4.71 tff(25517,plain,
% 4.54/4.71 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[11175, 987, 175, 747, 555, 25513, 3348])).
% 4.54/4.71 tff(25518,plain,
% 4.54/4.71 (r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1221, 21, 1429, 25517])).
% 4.54/4.71 tff(25519,plain,
% 4.54/4.71 (~r(s(s(s(z))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[11433, 25518, 165])).
% 4.54/4.71 tff(25520,plain,
% 4.54/4.71 (b(s(s(s(z))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[135, 25519])).
% 4.54/4.71 tff(25521,plain,
% 4.54/4.71 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[10509, 25520, 175, 3348, 987])).
% 4.54/4.71 tff(25522,plain,
% 4.54/4.71 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 25521])).
% 4.54/4.71 tff(25523,plain,
% 4.54/4.71 (~r(s(s(s(z))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2959, 25522, 25513])).
% 4.54/4.71 tff(25524,plain,
% 4.54/4.71 (b(s(s(s(z))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[437, 25523])).
% 4.54/4.71 tff(25525,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(25526,plain,
% 4.54/4.71 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(25527,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1))))))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[25526])).
% 4.54/4.71 tff(25528,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 4.54/4.71 inference(transitivity,[status(thm)],[25527, 25525])).
% 4.54/4.71 tff(25529,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 4.54/4.71 inference(quant_inst,[status(thm)],[])).
% 4.54/4.71 tff(25530,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1))))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[25529, 25528])).
% 4.54/4.71 tff(25531,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25530, 338, 747, 486, 25520, 25524, 1620, 25516])).
% 4.54/4.71 tff(25532,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~r(z, s(s(elem!1)))) | (s(z) = s(elem!1)) | (~b(z, s(s(s(s(z)))))) | (~(elem!1 = s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(25533,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25532, 25149, 25389, 25145, 25115, 25507, 162, 25511, 25456, 25108, 25148, 25150])).
% 4.54/4.71 tff(25534,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1011, 25533])).
% 4.54/4.71 tff(25535,plain,
% 4.54/4.71 (~r(s(z), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[4106, 25534, 25476])).
% 4.54/4.71 tff(25536,plain,
% 4.54/4.71 (b(s(z), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[424, 25535])).
% 4.54/4.71 tff(25537,plain,
% 4.54/4.71 (~b(s(s(elem!1)), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[11503, 25536, 25115, 25150, 25389, 25507])).
% 4.54/4.71 tff(25538,plain,
% 4.54/4.71 (r(s(s(elem!1)), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[800, 25537])).
% 4.54/4.71 tff(25539,plain,
% 4.54/4.71 (~r(s(elem!1), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5958, 25538, 25148])).
% 4.54/4.71 tff(25540,plain,
% 4.54/4.71 (b(s(elem!1), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1812, 25539])).
% 4.54/4.71 tff(25541,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(25542,plain,
% 4.54/4.71 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z))))))) <=> ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(25543,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z))))))))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[25542])).
% 4.54/4.71 tff(25544,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 4.54/4.71 inference(transitivity,[status(thm)],[25543, 25541])).
% 4.54/4.71 tff(25545,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))))),
% 4.54/4.71 inference(quant_inst,[status(thm)],[])).
% 4.54/4.71 tff(25546,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z))))))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[25545, 25544])).
% 4.54/4.71 tff(25547,plain,
% 4.54/4.71 (~b(s(elem!1), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25546, 338, 25540, 25389, 25536, 25507, 25115])).
% 4.54/4.71 tff(25548,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(25549,plain,
% 4.54/4.71 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(25550,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z))))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[25549])).
% 4.54/4.71 tff(25551,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 4.54/4.71 inference(transitivity,[status(thm)],[25550, 25548])).
% 4.54/4.71 tff(25552,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 4.54/4.71 inference(quant_inst,[status(thm)],[])).
% 4.54/4.71 tff(25553,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), z))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[25552, 25551])).
% 4.54/4.71 tff(25554,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25553, 338, 25540, 25389, 25536, 25507, 25115])).
% 4.54/4.71 tff(25555,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[4914, 25554, 25394])).
% 4.54/4.71 tff(25556,plain,
% 4.54/4.71 (~r(s(z), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[8549, 25555, 25476])).
% 4.54/4.71 tff(25557,plain,
% 4.54/4.71 (b(s(z), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3066, 25556, 25511])).
% 4.54/4.71 tff(25558,plain,
% 4.54/4.71 (~b(s(z), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[4302, 25557, 25389, 25144, 25540])).
% 4.54/4.71 tff(25559,plain,
% 4.54/4.71 (r(s(z), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[26, 25558])).
% 4.54/4.71 tff(25560,plain,
% 4.54/4.71 (~r(s(s(elem!1)), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[792, 25559, 25538])).
% 4.54/4.71 tff(25561,plain,
% 4.54/4.71 (b(s(s(elem!1)), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[784, 25560])).
% 4.54/4.71 tff(25562,plain,
% 4.54/4.71 (~b(s(elem!1), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3092, 25561, 25149, 25557, 25145])).
% 4.54/4.71 tff(25563,plain,
% 4.54/4.71 (r(s(elem!1), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2070, 25562, 25510])).
% 4.54/4.71 tff(25564,plain,
% 4.54/4.71 (~r(s(elem!1), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[4043, 25563, 25476])).
% 4.54/4.71 tff(25565,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3668, 21, 25564, 25547, 25114])).
% 4.54/4.71 tff(25566,plain,(b(z, s(s(elem!1))) | b(s(s(elem!1)), s(elem!1)) | r(s(s(s(elem!1))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(25567,plain,
% 4.54/4.71 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25566, 2605, 140])).
% 4.54/4.71 tff(25568,plain,
% 4.54/4.71 (~r(s(s(s(elem!1))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1309, 25567, 162])).
% 4.54/4.71 tff(25569,plain,
% 4.54/4.71 (b(s(s(s(elem!1))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1387, 25568])).
% 4.54/4.71 tff(25570,plain,
% 4.54/4.71 (r(s(s(elem!1)), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[277, 2605, 229])).
% 4.54/4.71 tff(25571,plain,
% 4.54/4.71 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2048, 25567, 25570])).
% 4.54/4.71 tff(25572,plain,
% 4.54/4.71 (b(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1971, 25571, 222])).
% 4.54/4.71 tff(25573,plain,
% 4.54/4.71 (~r(z, s(s(s(elem!1))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1361, 25567, 162])).
% 4.54/4.71 tff(25574,plain,
% 4.54/4.71 (b(z, s(s(s(elem!1))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1373, 25573])).
% 4.54/4.71 tff(25575,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1804, 25574, 25572, 1796, 1597, 25569])).
% 4.54/4.71 tff(25576,plain,(b(s(s(elem!1)), s(elem!1)) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (s(s(s(elem!1))) = s(elem!1)) | b(z, s(s(elem!1))) | (s(s(elem!1)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(25577,plain,
% 4.54/4.71 (b(s(s(elem!1)), s(elem!1))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[25576, 22536, 22533, 22530, 22345, 22342])).
% 4.54/4.71 tff(25578,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[25577, 22529])).
% 4.54/4.71 tff(25579,plain,
% 4.54/4.71 (~r(z, s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[22518, 13914, 1731, 22341, 427])).
% 4.54/4.71 tff(25580,plain,
% 4.54/4.71 (b(z, s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[563, 25579])).
% 4.54/4.71 tff(25581,plain,
% 4.54/4.71 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[22526, 25580, 1741, 22532, 175, 406])).
% 4.54/4.71 tff(25582,plain,
% 4.54/4.71 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 25581])).
% 4.54/4.71 tff(25583,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[25577, 10697])).
% 4.54/4.71 tff(25584,plain,
% 4.54/4.71 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[11111, 25583, 175, 22536, 22532, 25580])).
% 4.54/4.71 tff(25585,plain,
% 4.54/4.71 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[534, 25584])).
% 4.54/4.71 tff(25586,plain,
% 4.54/4.71 (~r(s(z), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[13187, 25585, 406])).
% 4.54/4.71 tff(25587,plain,
% 4.54/4.71 (b(s(z), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[455, 25586])).
% 4.54/4.71 tff(25588,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2939, 25587, 427, 1731, 22341])).
% 4.54/4.71 tff(25589,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[68, 25588])).
% 4.54/4.71 tff(25590,plain,
% 4.54/4.71 (~r(s(s(s(z))), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2472, 25589, 25582])).
% 4.54/4.71 tff(25591,plain,
% 4.54/4.71 (b(s(s(s(z))), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[639, 25590])).
% 4.54/4.71 tff(25592,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(25593,plain,
% 4.54/4.72 (((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(25594,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25593])).
% 4.54/4.72 tff(25595,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[25594, 25592])).
% 4.54/4.72 tff(25596,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(25597,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 4.54/4.72 tff(25598,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25597, 338, 25580, 1741, 22532, 25591, 25578, 175])).
% 4.54/4.72 tff(25599,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25600,plain,
% 4.54/4.72 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25599, 386, 175, 427, 22512, 406, 1741])).
% 4.54/4.72 tff(25601,plain,
% 4.54/4.72 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[368, 25600, 62])).
% 4.54/4.72 tff(25602,plain,
% 4.54/4.72 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[14568, 25601, 22528])).
% 4.54/4.72 tff(25603,plain,
% 4.54/4.72 (~r(z, s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[379, 25601, 13914])).
% 4.54/4.72 tff(25604,plain,
% 4.54/4.72 (b(z, s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[161, 25603])).
% 4.54/4.72 tff(25605,plain,
% 4.54/4.72 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[16143, 25601, 22528])).
% 4.54/4.72 tff(25606,plain,
% 4.54/4.72 (~r(s(s(elem!1)), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[18502, 82, 13914, 25601])).
% 4.54/4.72 tff(25607,plain,
% 4.54/4.72 (b(s(s(elem!1)), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[800, 25606])).
% 4.54/4.72 tff(25608,plain,
% 4.54/4.72 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[22431, 25607, 25605, 1741, 25604, 25602])).
% 4.54/4.72 tff(25609,plain,
% 4.54/4.72 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25608])).
% 4.54/4.72 tff(25610,plain,
% 4.54/4.72 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25609])).
% 4.54/4.72 tff(25611,plain,
% 4.54/4.72 (s(z) = elem!1),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1237, 25608])).
% 4.54/4.72 tff(25612,plain,
% 4.54/4.72 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25611])).
% 4.54/4.72 tff(25613,plain,
% 4.54/4.72 (b(elem!1, s(s(s(s(z)))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[22341, 25612])).
% 4.54/4.72 tff(25614,plain,
% 4.54/4.72 (b(elem!1, s(s(s(elem!1))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25613, 25610])).
% 4.54/4.72 tff(25615,plain,
% 4.54/4.72 (inj_0(s(s(s(z)))) = inj_0(s(s(elem!1)))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25608])).
% 4.54/4.72 tff(25616,plain,
% 4.54/4.72 (s(s(z)) = s(elem!1)),
% 4.54/4.72 inference(transitivity,[status(thm)],[53, 25615, 181])).
% 4.54/4.72 tff(25617,plain,
% 4.54/4.72 (b(z, s(s(z))) <=> b(z, s(elem!1))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25616])).
% 4.54/4.72 tff(25618,plain,
% 4.54/4.72 (b(z, s(elem!1))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[22520, 25617])).
% 4.54/4.72 tff(25619,plain,
% 4.54/4.72 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1428, 25608])).
% 4.54/4.72 tff(25620,plain,
% 4.54/4.72 (~(s(s(elem!1)) = s(elem!1))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[224, 25619])).
% 4.54/4.72 tff(25621,plain,
% 4.54/4.72 (~(elem!1 = s(elem!1))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[231, 25620])).
% 4.54/4.72 tff(25622,plain,
% 4.54/4.72 (~(s(elem!1) = elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1473, 25621])).
% 4.54/4.72 tff(25623,plain,
% 4.54/4.72 (r(z, elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1733, 25611, 22512])).
% 4.54/4.72 tff(25624,plain,
% 4.54/4.72 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1418, 25619])).
% 4.54/4.72 tff(25625,plain,
% 4.54/4.72 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[196, 25624])).
% 4.54/4.72 tff(25626,plain,
% 4.54/4.72 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[209, 25625])).
% 4.54/4.72 tff(25627,plain,
% 4.54/4.72 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25609])).
% 4.54/4.72 tff(25628,plain,
% 4.54/4.72 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25601, 25627])).
% 4.54/4.72 tff(25629,plain,
% 4.54/4.72 (r(z, s(s(s(s(z))))) <=> r(z, s(s(s(elem!1))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25609])).
% 4.54/4.72 tff(25630,plain,
% 4.54/4.72 (r(z, s(s(s(elem!1))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[13914, 25629])).
% 4.54/4.72 tff(25631,plain,
% 4.54/4.72 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19763, 25630, 25604, 25620, 25628])).
% 4.54/4.72 tff(25632,plain,
% 4.54/4.72 (b(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1515, 25631, 25626])).
% 4.54/4.72 tff(25633,plain,
% 4.54/4.72 (r(s(s(elem!1)), s(z)) <=> r(s(s(elem!1)), elem!1)),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25611])).
% 4.54/4.72 tff(25634,plain,
% 4.54/4.72 (r(s(s(s(z))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25608])).
% 4.54/4.72 tff(25635,plain,
% 4.54/4.72 (r(s(s(elem!1)), s(z))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[427, 25634])).
% 4.54/4.72 tff(25636,plain,
% 4.54/4.72 (r(s(s(elem!1)), elem!1)),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25635, 25633])).
% 4.54/4.72 tff(25637,plain,
% 4.54/4.72 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25611])).
% 4.54/4.72 tff(25638,plain,
% 4.54/4.72 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.54/4.72 inference(transitivity,[status(thm)],[25637, 1254])).
% 4.54/4.72 tff(25639,plain,
% 4.54/4.72 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25638])).
% 4.54/4.72 tff(25640,plain,
% 4.54/4.72 (~(s(s(s(elem!1))) = elem!1)),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[1263, 25639])).
% 4.54/4.72 tff(25641,plain,
% 4.54/4.72 (b(elem!1, s(elem!1))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[252, 22822, 7156])).
% 4.54/4.72 tff(25642,plain,
% 4.54/4.72 (~b(s(s(s(elem!1))), elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[23319, 23317, 25641, 1929, 23219])).
% 4.54/4.72 tff(25643,plain,
% 4.54/4.72 (r(s(s(s(elem!1))), elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[2162, 25642, 1271])).
% 4.54/4.72 tff(25644,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[22819, 82, 254, 25643, 2257])).
% 4.54/4.72 tff(25645,plain,((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (s(s(s(elem!1))) = elem!1) | (~b(elem!1, s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25646,plain,
% 4.54/4.72 (~r(s(s(elem!1)), s(elem!1))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25645, 25628, 25614, 25640, 25626, 25636])).
% 4.54/4.72 tff(25647,plain,
% 4.54/4.72 (b(s(s(elem!1)), s(elem!1))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[277, 25646, 25620])).
% 4.54/4.72 tff(25648,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[17109, 25647, 25632, 25623, 25622, 25604, 25607, 25618, 25614])).
% 4.54/4.72 tff(25649,plain,(b(z, s(s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25650,plain,
% 4.54/4.72 (b(z, s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25649, 406, 1741, 62, 175, 427])).
% 4.54/4.72 tff(25651,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[24305, 338, 1741, 3348, 539, 175, 555])).
% 4.54/4.72 tff(25652,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25653,plain,
% 4.54/4.72 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25652, 22514, 1741, 175, 25650])).
% 4.54/4.72 tff(25654,plain,
% 4.54/4.72 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[689, 25653])).
% 4.54/4.72 tff(25655,plain,
% 4.54/4.72 (~b(s(z), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[2939, 540, 427, 1731, 651])).
% 4.54/4.72 tff(25656,plain,
% 4.54/4.72 (~b(s(z), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[11153, 555, 175, 651, 24135])).
% 4.54/4.72 tff(25657,plain,
% 4.54/4.72 (r(s(z), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[26, 25656])).
% 4.54/4.72 tff(25658,plain,
% 4.54/4.72 (~r(s(z), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[21492, 540, 555, 175, 25657])).
% 4.54/4.72 tff(25659,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[455, 25658, 25655])).
% 4.54/4.72 tff(25660,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25661,plain,
% 4.54/4.72 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25660, 25650, 175, 427, 22512, 22341])).
% 4.54/4.72 tff(25662,plain,
% 4.54/4.72 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[68, 25661])).
% 4.54/4.72 tff(25663,plain,
% 4.54/4.72 (~r(s(s(s(z))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[2472, 25662, 25654])).
% 4.54/4.72 tff(25664,plain,
% 4.54/4.72 (b(s(s(s(z))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[639, 25663])).
% 4.54/4.72 tff(25665,plain,
% 4.54/4.72 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[2324, 140, 25650])).
% 4.54/4.72 tff(25666,plain,
% 4.54/4.72 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[368, 25665, 62])).
% 4.54/4.72 tff(25667,plain,
% 4.54/4.72 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[14568, 25666, 25654])).
% 4.54/4.72 tff(25668,plain,
% 4.54/4.72 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[16143, 25666, 25654])).
% 4.54/4.72 tff(25669,plain,
% 4.54/4.72 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[2908, 22512, 427])).
% 4.54/4.72 tff(25670,plain,
% 4.54/4.72 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[119, 25669])).
% 4.54/4.72 tff(25671,plain,
% 4.54/4.72 (~b(s(z), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[11153, 25650, 175, 22341, 25670])).
% 4.54/4.72 tff(25672,plain,
% 4.54/4.72 (r(s(z), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[26, 25671])).
% 4.54/4.72 tff(25673,plain,
% 4.54/4.72 (~r(s(z), s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[4588, 162, 22512])).
% 4.54/4.72 tff(25674,plain,
% 4.54/4.72 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(z))))),
% 4.54/4.72 inference(symmetry,[status(thm)],[22436])).
% 4.54/4.72 tff(25675,plain,
% 4.54/4.72 ((~r(s(z), s(s(elem!1)))) <=> (~r(s(z), s(s(s(z)))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25674])).
% 4.54/4.72 tff(25676,plain,
% 4.54/4.72 (~r(s(z), s(s(s(z))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[6520, 25675])).
% 4.54/4.72 tff(25677,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[406, 25676])).
% 4.54/4.72 tff(25678,plain,((~(s(s(s(z))) = s(s(elem!1)))) | (~r(s(z), s(s(s(z))))) | r(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25679,plain,
% 4.54/4.72 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25678, 25673, 406])).
% 4.54/4.72 tff(25680,plain,
% 4.54/4.72 (b(s(z), s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[743, 25673])).
% 4.54/4.72 tff(25681,plain,
% 4.54/4.72 (b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[6754, 25679, 25667])).
% 4.54/4.72 tff(25682,plain,
% 4.54/4.72 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[10976, 25681, 175, 22514, 25650, 25672, 25680])).
% 4.54/4.72 tff(25683,plain,
% 4.54/4.72 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1011, 25682])).
% 4.54/4.72 tff(25684,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(25685,plain,
% 4.54/4.72 (((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(25686,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25685])).
% 4.54/4.72 tff(25687,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[25686, 25684])).
% 4.54/4.72 tff(25688,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), z)))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(25689,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 4.54/4.72 tff(25690,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25689, 338, 878, 1741, 3348, 3254, 3485])).
% 4.54/4.72 tff(25691,plain,((~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25692,plain,
% 4.54/4.72 (~b(s(s(elem!1)), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25691, 19448, 22532, 1741, 19447])).
% 4.54/4.72 tff(25693,plain,
% 4.54/4.72 (~r(s(s(elem!1)), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[792, 10647, 405])).
% 4.54/4.72 tff(25694,plain,
% 4.54/4.72 (b(s(s(elem!1)), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[784, 25693])).
% 4.54/4.72 tff(25695,plain,
% 4.54/4.72 (s(s(elem!1)) = s(s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[11094, 25694, 427, 370, 651, 10215, 1731, 556])).
% 4.54/4.72 tff(25696,plain,
% 4.54/4.72 (s(elem!1) = s(z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[10916, 25695])).
% 4.54/4.72 tff(25697,plain,
% 4.54/4.72 (z = elem!1),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1912, 25696])).
% 4.54/4.72 tff(25698,plain,
% 4.54/4.72 (s(z) = s(elem!1)),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25697])).
% 4.54/4.72 tff(25699,plain,
% 4.54/4.72 (s(s(z)) = s(s(elem!1))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25698])).
% 4.54/4.72 tff(25700,plain,
% 4.54/4.72 (s(s(s(z))) = s(s(s(elem!1)))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25699])).
% 4.54/4.72 tff(25701,plain,
% 4.54/4.72 (s(s(s(elem!1))) = s(s(s(z)))),
% 4.54/4.72 inference(symmetry,[status(thm)],[25700])).
% 4.54/4.72 tff(25702,plain,
% 4.54/4.72 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25701])).
% 4.54/4.72 tff(25703,plain,
% 4.54/4.72 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.72 inference(symmetry,[status(thm)],[25702])).
% 4.54/4.72 tff(25704,plain,
% 4.54/4.72 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[3254, 25703])).
% 4.54/4.72 tff(25705,plain,
% 4.54/4.72 (elem!1 = z),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[2752, 25697])).
% 4.54/4.72 tff(25706,plain,
% 4.54/4.72 (~b(z, elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1036, 25705])).
% 4.54/4.72 tff(25707,plain,
% 4.54/4.72 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(s(z))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[2997])).
% 4.54/4.72 tff(25708,plain,
% 4.54/4.72 (b(z, s(s(s(z)))) <=> b(z, s(s(s(elem!1))))),
% 4.54/4.72 inference(symmetry,[status(thm)],[25707])).
% 4.54/4.72 tff(25709,plain,
% 4.54/4.72 (b(z, s(s(s(elem!1))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[3348, 25708])).
% 4.54/4.72 tff(25710,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[2138, 25709])).
% 4.54/4.72 tff(25711,plain,((~(elem!1 = z)) | b(z, s(s(s(elem!1)))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25712,plain,
% 4.54/4.72 (b(z, s(s(s(elem!1))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25711, 25705, 22532])).
% 4.54/4.72 tff(25713,plain,
% 4.54/4.72 (~(s(s(s(elem!1))) = elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[2149, 25712, 25706])).
% 4.54/4.72 tff(25714,plain,
% 4.54/4.72 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1336, 25713])).
% 4.54/4.72 tff(25715,plain,
% 4.54/4.72 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[5699, 25714])).
% 4.54/4.72 tff(25716,plain,
% 4.54/4.72 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25700])).
% 4.54/4.72 tff(25717,plain,
% 4.54/4.72 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25698])).
% 4.54/4.72 tff(25718,plain,
% 4.54/4.72 (r(s(elem!1), s(s(s(z))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[406, 25717])).
% 4.54/4.72 tff(25719,plain,
% 4.54/4.72 (r(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25718, 25716])).
% 4.54/4.72 tff(25720,plain,
% 4.54/4.72 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[5747, 25697, 1038])).
% 4.54/4.72 tff(25721,plain,
% 4.54/4.72 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25698])).
% 4.54/4.72 tff(25722,plain,
% 4.54/4.72 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 4.54/4.72 inference(transitivity,[status(thm)],[25721, 17522])).
% 4.54/4.72 tff(25723,plain,
% 4.54/4.72 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1)))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25722])).
% 4.54/4.72 tff(25724,plain,
% 4.54/4.72 (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[6121, 25723])).
% 4.54/4.72 tff(25725,plain,
% 4.54/4.72 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25700])).
% 4.54/4.72 tff(25726,plain,
% 4.54/4.72 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25725])).
% 4.54/4.72 tff(25727,plain,
% 4.54/4.72 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25726])).
% 4.54/4.72 tff(25728,plain,
% 4.54/4.72 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[3187, 25727])).
% 4.54/4.72 tff(25729,plain,
% 4.54/4.72 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[25722, 17531])).
% 4.54/4.72 tff(25730,plain,
% 4.54/4.72 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(elem!1) = s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25729])).
% 4.54/4.72 tff(25731,plain,
% 4.54/4.72 (~(s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[6121, 25730])).
% 4.54/4.72 tff(25732,plain,
% 4.54/4.72 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[25726, 17561])).
% 4.54/4.72 tff(25733,plain,
% 4.54/4.72 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25732])).
% 4.54/4.72 tff(25734,plain,
% 4.54/4.72 (~(s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[3187, 25733])).
% 4.54/4.72 tff(25735,plain,
% 4.54/4.72 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25725])).
% 4.54/4.72 tff(25736,plain,
% 4.54/4.72 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25698])).
% 4.54/4.72 tff(25737,plain,
% 4.54/4.72 (b(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[24135, 25736])).
% 4.54/4.72 tff(25738,plain,
% 4.54/4.72 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25737, 25735])).
% 4.54/4.72 tff(25739,plain,
% 4.54/4.72 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25725])).
% 4.54/4.72 tff(25740,plain,
% 4.54/4.72 (b(s(z), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25698])).
% 4.54/4.72 tff(25741,plain,
% 4.54/4.72 (b(s(elem!1), s(s(s(s(z)))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[651, 25740])).
% 4.54/4.72 tff(25742,plain,
% 4.54/4.72 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25741, 25739])).
% 4.54/4.72 tff(25743,assumption,(b(s(s(s(s(elem!1)))), s(elem!1))), introduced(assumption)).
% 4.54/4.72 tff(25744,assumption,(~(s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1)))))))), introduced(assumption)).
% 4.54/4.72 tff(25745,plain,
% 4.54/4.72 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[17628, 6001, 25744])).
% 4.54/4.72 tff(25746,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(25747,plain,
% 4.54/4.72 (((~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))) <=> ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(25748,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25747])).
% 4.54/4.72 tff(25749,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[25748, 25746])).
% 4.54/4.72 tff(25750,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(25751,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25750, 25749])).
% 4.54/4.72 tff(25752,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25751, 338, 17776, 22979, 22971, 25745, 11678, 25743])).
% 4.54/4.72 tff(25753,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))) | (s(elem!1) = s(s(s(s(s(s(elem!1))))))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) | (s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25754,plain,
% 4.54/4.72 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25753, 25742, 25738, 25734, 25731, 25728, 25724, 25720, 25719])).
% 4.54/4.72 tff(25755,plain,
% 4.54/4.72 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[17558, 25754, 25715])).
% 4.54/4.72 tff(25756,plain,
% 4.54/4.72 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25701])).
% 4.54/4.72 tff(25757,plain,
% 4.54/4.72 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.72 inference(symmetry,[status(thm)],[25756])).
% 4.54/4.72 tff(25758,plain,
% 4.54/4.72 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[3485, 25757])).
% 4.54/4.72 tff(25759,plain,
% 4.54/4.72 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25697])).
% 4.54/4.72 tff(25760,plain,
% 4.54/4.72 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[25759, 2831])).
% 4.54/4.72 tff(25761,plain,
% 4.54/4.72 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25760])).
% 4.54/4.72 tff(25762,plain,
% 4.54/4.72 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[1633, 25761])).
% 4.54/4.72 tff(25763,plain,
% 4.54/4.72 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[6043, 25762])).
% 4.54/4.72 tff(25764,plain,
% 4.54/4.72 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25697])).
% 4.54/4.72 tff(25765,plain,
% 4.54/4.72 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[25764, 5922])).
% 4.54/4.72 tff(25766,plain,
% 4.54/4.72 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25765])).
% 4.54/4.72 tff(25767,plain,
% 4.54/4.72 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[5929, 25766])).
% 4.54/4.72 tff(25768,plain,
% 4.54/4.72 (b(s(s(s(z))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25700])).
% 4.54/4.72 tff(25769,plain,
% 4.54/4.72 (b(s(s(s(z))), z) <=> b(s(s(s(z))), elem!1)),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25697])).
% 4.54/4.72 tff(25770,plain,
% 4.54/4.72 (b(s(s(s(z))), elem!1)),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[1741, 25769])).
% 4.54/4.72 tff(25771,plain,
% 4.54/4.72 (b(s(s(s(elem!1))), elem!1)),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25770, 25768])).
% 4.54/4.72 tff(25772,plain,
% 4.54/4.72 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.54/4.72 inference(transitivity,[status(thm)],[25765, 5923])).
% 4.54/4.72 tff(25773,plain,
% 4.54/4.72 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25772])).
% 4.54/4.72 tff(25774,plain,
% 4.54/4.72 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[5929, 25773])).
% 4.54/4.72 tff(25775,plain,
% 4.54/4.72 (~b(s(s(elem!1)), elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[906, 25697, 795])).
% 4.54/4.72 tff(25776,plain,
% 4.54/4.72 (r(s(s(elem!1)), elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[327, 25775, 207])).
% 4.54/4.72 tff(25777,plain,
% 4.54/4.72 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[25697])).
% 4.54/4.72 tff(25778,plain,
% 4.54/4.72 (b(elem!1, s(s(s(elem!1))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[25712, 25777])).
% 4.54/4.72 tff(25779,plain,
% 4.54/4.72 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[6185, 7943, 6171])).
% 4.54/4.72 tff(25780,plain,
% 4.54/4.72 (~b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[6196, 25779, 2636, 1929, 6138])).
% 4.54/4.72 tff(25781,plain,
% 4.54/4.72 (r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[6151, 25780, 6170])).
% 4.54/4.72 tff(25782,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[7974, 82, 254, 25781, 6213])).
% 4.54/4.72 tff(25783,plain,((~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(elem!1)), elem!1)) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (elem!1 = s(s(s(s(s(s(elem!1)))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(25784,plain,
% 4.54/4.72 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[25783, 25755, 25778, 25776, 25774, 25771, 25767])).
% 4.54/4.72 tff(25785,plain,
% 4.54/4.72 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[6226, 25784, 25763])).
% 4.54/4.72 tff(25786,plain,
% 4.54/4.72 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6051, 25763])).
% 4.54/4.73 tff(25787,plain,
% 4.54/4.73 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25697])).
% 4.54/4.73 tff(25788,plain,
% 4.54/4.73 (r(elem!1, s(s(elem!1)))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[165, 25787])).
% 4.54/4.73 tff(25789,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6206, 25755, 25778, 25771, 25788, 25774, 25767])).
% 4.54/4.73 tff(25790,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6063, 25789, 25786])).
% 4.54/4.73 tff(25791,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[7986, 25790, 25785, 25758, 25755, 25704])).
% 4.54/4.73 tff(25792,plain,(b(s(s(elem!1)), z) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(z, s(s(elem!1)))) | (s(s(elem!1)) = elem!1) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25793,plain,
% 4.54/4.73 (s(s(elem!1)) = elem!1),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25792, 25692, 19448, 651, 406, 1741, 165, 19447, 1038, 427, 370, 1731, 556, 405])).
% 4.54/4.73 tff(25794,plain,
% 4.54/4.73 ((s(s(elem!1)) = z) <=> (elem!1 = z)),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25793])).
% 4.54/4.73 tff(25795,plain,
% 4.54/4.73 ((s(s(elem!1)) = z) <=> (z = elem!1)),
% 4.54/4.73 inference(transitivity,[status(thm)],[25794, 711])).
% 4.54/4.73 tff(25796,plain,
% 4.54/4.73 ((z = elem!1) <=> (s(s(elem!1)) = z)),
% 4.54/4.73 inference(symmetry,[status(thm)],[25795])).
% 4.54/4.73 tff(25797,plain,
% 4.54/4.73 (r(s(s(elem!1)), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[800, 25692])).
% 4.54/4.73 tff(25798,plain,
% 4.54/4.73 (~r(s(s(elem!1)), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[792, 25797, 405])).
% 4.54/4.73 tff(25799,plain,
% 4.54/4.73 (b(s(s(elem!1)), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[784, 25798])).
% 4.54/4.73 tff(25800,plain,
% 4.54/4.73 (s(s(elem!1)) = s(s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[11094, 25799, 427, 370, 651, 10215, 1731, 556])).
% 4.54/4.73 tff(25801,plain,
% 4.54/4.73 (s(elem!1) = s(z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10916, 25800])).
% 4.54/4.73 tff(25802,plain,
% 4.54/4.73 (z = elem!1),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1912, 25801])).
% 4.54/4.73 tff(25803,plain,
% 4.54/4.73 (s(s(elem!1)) = z),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25802, 25796])).
% 4.54/4.73 tff(25804,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[155, 25803])).
% 4.54/4.73 tff(25805,plain,((s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | r(s(s(elem!1)), s(s(s(z)))) | r(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25806,plain,
% 4.54/4.73 (~r(z, s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25805, 25683, 25666, 22341, 22512, 25679, 25672, 406, 1741, 162, 427, 25668, 25667])).
% 4.54/4.73 tff(25807,plain,
% 4.54/4.73 (b(z, s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[563, 25806])).
% 4.54/4.73 tff(25808,plain,
% 4.54/4.73 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5882, 25683, 406])).
% 4.54/4.73 tff(25809,plain,
% 4.54/4.73 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[534, 25808])).
% 4.54/4.73 tff(25810,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(25811,plain,
% 4.54/4.73 (((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(25812,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z))))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25811])).
% 4.54/4.73 tff(25813,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))))),
% 4.54/4.73 inference(transitivity,[status(thm)],[25812, 25810])).
% 4.54/4.73 tff(25814,plain,
% 4.54/4.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))),
% 4.54/4.73 inference(quant_inst,[status(thm)],[])).
% 4.54/4.73 tff(25815,plain,
% 4.54/4.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25814, 25813])).
% 4.54/4.73 tff(25816,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25815, 338, 25809, 25807, 1741, 22514, 25664])).
% 4.54/4.73 tff(25817,plain,(b(z, s(s(elem!1))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25818,plain,
% 4.54/4.73 (b(z, s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25817, 406, 1741, 427, 175, 62])).
% 4.54/4.73 tff(25819,plain,
% 4.54/4.73 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1280, 22342])).
% 4.54/4.73 tff(25820,plain,
% 4.54/4.73 ((~b(s(s(s(s(z)))), s(s(z)))) <=> (~b(s(s(elem!1)), elem!1))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[21177])).
% 4.54/4.73 tff(25821,plain,
% 4.54/4.73 (~b(s(s(elem!1)), elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[63, 25820])).
% 4.54/4.73 tff(25822,plain,
% 4.54/4.73 (b(z, s(s(z))) <=> b(z, elem!1)),
% 4.54/4.73 inference(symmetry,[status(thm)],[17840])).
% 4.54/4.73 tff(25823,plain,
% 4.54/4.73 ((~b(z, s(s(z)))) <=> (~b(z, elem!1))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25822])).
% 4.54/4.73 tff(25824,plain,
% 4.54/4.73 (~b(s(s(elem!1)), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[9365, 22536, 8722, 17834, 19396])).
% 4.54/4.73 tff(25825,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10701, 25824, 178])).
% 4.54/4.73 tff(25826,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1011, 25825])).
% 4.54/4.73 tff(25827,plain,
% 4.54/4.73 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5882, 25826, 406])).
% 4.54/4.73 tff(25828,plain,
% 4.54/4.73 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[534, 25827])).
% 4.54/4.73 tff(25829,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25815, 338, 476, 601, 1741, 3348, 21128])).
% 4.54/4.73 tff(25830,plain,((~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25831,plain,
% 4.54/4.73 (~b(z, s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25830, 25828, 1741, 3348, 21128])).
% 4.54/4.73 tff(25832,plain,
% 4.54/4.73 (~b(z, elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25831, 25823])).
% 4.54/4.73 tff(25833,plain,
% 4.54/4.73 (~r(s(z), elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17495, 25832, 8722, 25821, 17834])).
% 4.54/4.73 tff(25834,plain,
% 4.54/4.73 (r(s(s(elem!1)), elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[69, 17877])).
% 4.54/4.73 tff(25835,plain,
% 4.54/4.73 (r(z, s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[563, 25831])).
% 4.54/4.73 tff(25836,plain,
% 4.54/4.73 (r(z, elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25835, 21324])).
% 4.54/4.73 tff(25837,plain,
% 4.54/4.73 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[196, 22355])).
% 4.54/4.73 tff(25838,plain,
% 4.54/4.73 (r(s(s(elem!1)), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[277, 25824, 22342])).
% 4.54/4.73 tff(25839,plain,
% 4.54/4.73 (~r(s(s(s(elem!1))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[14225, 18665, 207, 234, 1950, 719, 1271])).
% 4.54/4.73 tff(25840,plain,
% 4.54/4.73 (b(s(s(s(elem!1))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1387, 25839])).
% 4.54/4.73 tff(25841,plain,
% 4.54/4.73 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18669, 1950, 254, 878, 8988, 8722, 234])).
% 4.54/4.73 tff(25842,plain,
% 4.54/4.73 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1292, 25841, 1327])).
% 4.54/4.73 tff(25843,plain,
% 4.54/4.73 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2048, 25842, 264])).
% 4.54/4.73 tff(25844,plain,
% 4.54/4.73 (b(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1971, 25843, 222])).
% 4.54/4.73 tff(25845,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1804, 25844, 25840, 1796, 1597, 18665])).
% 4.54/4.73 tff(25846,plain,((~r(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (s(s(s(elem!1))) = s(elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(elem!1)) = elem!1) | (~r(z, elem!1)) | (elem!1 = z) | (s(s(s(elem!1))) = elem!1) | (s(s(s(elem!1))) = s(s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25847,plain,
% 4.54/4.73 (~r(elem!1, s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25846, 22536, 19396, 22530, 25838, 25837, 25836, 19404, 17882, 25819, 25834, 17834, 8722])).
% 4.54/4.73 tff(25848,plain,
% 4.54/4.73 (b(elem!1, s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1946, 25847, 17899])).
% 4.54/4.73 tff(25849,plain,
% 4.54/4.73 (~r(elem!1, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[8266, 25836, 1731])).
% 4.54/4.73 tff(25850,plain,
% 4.54/4.73 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2611, 25819])).
% 4.54/4.73 tff(25851,plain,
% 4.54/4.73 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[209, 25837])).
% 4.54/4.73 tff(25852,plain,
% 4.54/4.73 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25645, 25848, 25838, 17882, 25851, 25834])).
% 4.54/4.73 tff(25853,plain,
% 4.54/4.73 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2619, 25852, 25850])).
% 4.54/4.73 tff(25854,plain,
% 4.54/4.73 (b(s(z), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[13911, 17879, 651])).
% 4.54/4.73 tff(25855,plain,
% 4.54/4.73 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[12264, 1595, 8722, 6386, 878])).
% 4.54/4.73 tff(25856,plain,
% 4.54/4.73 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1292, 25855, 1327])).
% 4.54/4.73 tff(25857,plain,
% 4.54/4.73 (~r(s(s(s(elem!1))), elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19747, 25856, 405, 691, 137, 8722, 714, 1731, 747])).
% 4.54/4.73 tff(25858,plain,
% 4.54/4.73 (~r(s(s(s(elem!1))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17069, 25857, 405, 691, 1271, 234, 1941])).
% 4.54/4.73 tff(25859,plain,
% 4.54/4.73 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2048, 25856, 264])).
% 4.54/4.73 tff(25860,plain,
% 4.54/4.73 (b(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1971, 25859, 222])).
% 4.54/4.73 tff(25861,plain,
% 4.54/4.73 (~b(s(s(s(elem!1))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1804, 25860, 1796, 1597, 1595])).
% 4.54/4.73 tff(25862,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1387, 25861, 25858])).
% 4.54/4.73 tff(25863,plain,((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~r(s(z), z)) | (s(z) = elem!1) | (s(s(s(elem!1))) = elem!1) | (~r(z, elem!1)) | r(elem!1, s(s(s(elem!1)))) | (s(s(s(elem!1))) = s(elem!1)) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (z = elem!1) | (~r(z, s(z))) | (~b(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(s(elem!1))) = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25864,plain,
% 4.54/4.73 (~b(z, s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25863, 22536, 19396, 405, 16919, 17882, 25836, 25847, 22530, 22355, 8722, 16907, 1731, 25854, 25838, 25819, 25853, 17834])).
% 4.54/4.73 tff(25865,plain,
% 4.54/4.73 (r(z, s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1373, 25864])).
% 4.54/4.73 tff(25866,plain,
% 4.54/4.73 (~r(s(z), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5440, 25865, 405])).
% 4.54/4.73 tff(25867,plain,
% 4.54/4.73 (b(s(z), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1870, 25866])).
% 4.54/4.73 tff(25868,plain,
% 4.54/4.73 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17391, 25867, 405, 16919, 25849, 8722, 25848, 25833])).
% 4.54/4.73 tff(25869,plain,
% 4.54/4.73 (~r(s(s(s(elem!1))), elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6359, 25865, 25836])).
% 4.54/4.73 tff(25870,plain,
% 4.54/4.73 (~r(s(z), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2492, 25835, 1731])).
% 4.54/4.73 tff(25871,plain,
% 4.54/4.73 (b(s(z), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[455, 25870])).
% 4.54/4.73 tff(25872,plain,
% 4.54/4.73 (b(s(z), elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25871, 21183])).
% 4.54/4.73 tff(25873,plain,
% 4.54/4.73 (~r(s(s(z)), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2514, 25835, 1731])).
% 4.54/4.73 tff(25874,plain,
% 4.54/4.73 (b(s(s(z)), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[472, 25873])).
% 4.54/4.73 tff(25875,plain,
% 4.54/4.73 (b(elem!1, s(z))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25874, 21329])).
% 4.54/4.73 tff(25876,plain,
% 4.54/4.73 (b(s(s(s(elem!1))), elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2162, 25869, 17882])).
% 4.54/4.73 tff(25877,plain,
% 4.54/4.73 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[20608, 25876, 25836, 17882, 25875, 25872, 25869, 25848, 25854, 22355, 25865, 25849, 19404, 25833, 405])).
% 4.54/4.73 tff(25878,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1292, 25877, 25868, 25819])).
% 4.54/4.73 tff(25879,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (~r(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~r(s(z), s(s(s(z))))) | b(s(s(s(s(z)))), s(s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25880,plain,
% 4.54/4.73 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25879, 25672, 25818, 22512, 1741, 22514, 25664, 406, 25661, 175, 22341])).
% 4.54/4.73 tff(25881,plain,
% 4.54/4.73 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[368, 25880, 62])).
% 4.54/4.73 tff(25882,plain,
% 4.54/4.73 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[14568, 25881, 25654])).
% 4.54/4.73 tff(25883,plain,
% 4.54/4.73 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[16143, 25881, 25654])).
% 4.54/4.73 tff(25884,plain,
% 4.54/4.73 (~b(s(z), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[11153, 555, 175, 22341, 24135])).
% 4.54/4.73 tff(25885,plain,
% 4.54/4.73 (r(s(z), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[26, 25884])).
% 4.54/4.73 tff(25886,plain,
% 4.54/4.73 (~r(s(s(elem!1)), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[792, 787, 25885])).
% 4.54/4.73 tff(25887,plain,
% 4.54/4.73 (b(s(s(elem!1)), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[784, 25886])).
% 4.54/4.73 tff(25888,plain,
% 4.54/4.73 (~r(s(z), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17354, 787, 25885])).
% 4.54/4.73 tff(25889,plain,
% 4.54/4.73 (b(s(z), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[743, 25888])).
% 4.54/4.73 tff(25890,plain,
% 4.54/4.73 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25652, 22532, 1741, 175, 555])).
% 4.54/4.73 tff(25891,plain,
% 4.54/4.73 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 25890])).
% 4.54/4.73 tff(25892,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25660, 555, 175, 427, 1731, 22341])).
% 4.54/4.73 tff(25893,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[68, 25892])).
% 4.54/4.73 tff(25894,plain,
% 4.54/4.73 (~r(s(s(s(z))), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2472, 25893, 25891])).
% 4.54/4.73 tff(25895,plain,
% 4.54/4.73 (b(s(s(s(z))), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[639, 25894])).
% 4.54/4.73 tff(25896,plain,
% 4.54/4.73 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[14568, 370, 25891])).
% 4.54/4.73 tff(25897,plain,
% 4.54/4.73 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25678, 25888, 406])).
% 4.54/4.73 tff(25898,plain,
% 4.54/4.73 (b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6754, 25897, 25896])).
% 4.54/4.73 tff(25899,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10976, 25898, 175, 22532, 555, 25885, 25889])).
% 4.54/4.73 tff(25900,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1011, 25899])).
% 4.54/4.73 tff(25901,plain,
% 4.54/4.73 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5882, 25900, 406])).
% 4.54/4.73 tff(25902,plain,
% 4.54/4.73 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[534, 25901])).
% 4.54/4.73 tff(25903,plain,
% 4.54/4.73 (~b(z, s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25830, 25902, 1741, 22532, 25895])).
% 4.54/4.73 tff(25904,plain,
% 4.54/4.73 (r(z, s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[563, 25903])).
% 4.54/4.73 tff(25905,plain,
% 4.54/4.73 (s(s(elem!1)) = s(s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[11094, 25904, 427, 370, 22341, 25889, 1731, 25887])).
% 4.54/4.73 tff(25906,plain,
% 4.54/4.73 (s(elem!1) = s(z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10916, 25905])).
% 4.54/4.73 tff(25907,plain,
% 4.54/4.73 (z = elem!1),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1912, 25906])).
% 4.54/4.73 tff(25908,plain,
% 4.54/4.73 (s(z) = s(elem!1)),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25907])).
% 4.54/4.73 tff(25909,plain,
% 4.54/4.73 (s(s(z)) = s(s(elem!1))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25908])).
% 4.54/4.73 tff(25910,plain,
% 4.54/4.73 (b(elem!1, s(s(z))) <=> b(elem!1, s(s(elem!1)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25909])).
% 4.54/4.73 tff(25911,plain,
% 4.54/4.73 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(z)))),
% 4.54/4.73 inference(symmetry,[status(thm)],[25910])).
% 4.54/4.73 tff(25912,plain,
% 4.54/4.73 (elem!1 = z),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2752, 25907])).
% 4.54/4.73 tff(25913,plain,
% 4.54/4.73 (b(elem!1, s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[9178, 25912, 8722])).
% 4.54/4.73 tff(25914,plain,
% 4.54/4.73 (b(elem!1, s(s(z)))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25913, 25911])).
% 4.54/4.73 tff(25915,plain,
% 4.54/4.73 (b(z, s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25907])).
% 4.54/4.73 tff(25916,plain,
% 4.54/4.73 ((~b(z, s(s(z)))) <=> (~b(elem!1, s(s(z))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25915])).
% 4.54/4.73 tff(25917,plain,
% 4.54/4.73 (~b(elem!1, s(s(z)))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25903, 25916])).
% 4.54/4.73 tff(25918,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25917, 25914])).
% 4.54/4.73 tff(25919,plain,((~r(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25920,plain,
% 4.54/4.73 (~r(s(s(elem!1)), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25919, 25818, 427, 25881, 22512, 1741, 406, 175, 25650])).
% 4.54/4.73 tff(25921,plain,
% 4.54/4.73 (b(s(s(elem!1)), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[800, 25920])).
% 4.54/4.73 tff(25922,plain,
% 4.54/4.73 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[22431, 25921, 25818, 1741, 25883, 25882])).
% 4.54/4.73 tff(25923,plain,
% 4.54/4.73 (s(z) = elem!1),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1237, 25922])).
% 4.54/4.73 tff(25924,plain,
% 4.54/4.73 (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[22681, 25923])).
% 4.54/4.73 tff(25925,plain,
% 4.54/4.73 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25923])).
% 4.54/4.73 tff(25926,plain,
% 4.54/4.73 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25925])).
% 4.54/4.73 tff(25927,plain,
% 4.54/4.73 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[2125, 25926])).
% 4.54/4.73 tff(25928,plain,
% 4.54/4.73 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6043, 25927])).
% 4.54/4.73 tff(25929,plain,
% 4.54/4.73 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6051, 25928])).
% 4.54/4.73 tff(25930,plain,
% 4.54/4.73 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25923])).
% 4.54/4.73 tff(25931,plain,
% 4.54/4.73 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25930])).
% 4.54/4.73 tff(25932,plain,
% 4.54/4.73 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[6121, 25931])).
% 4.54/4.73 tff(25933,plain,
% 4.54/4.73 (r(s(z), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25923])).
% 4.54/4.73 tff(25934,plain,
% 4.54/4.73 (r(s(z), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25678, 25922, 406])).
% 4.54/4.73 tff(25935,plain,
% 4.54/4.73 (r(elem!1, s(s(elem!1)))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25934, 25933])).
% 4.54/4.73 tff(25936,plain,
% 4.54/4.73 (~b(z, elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2343, 25923, 22511])).
% 4.54/4.73 tff(25937,plain,
% 4.54/4.73 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1412, 25923])).
% 4.54/4.73 tff(25938,plain,
% 4.54/4.73 (b(z, s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2141, 25937, 25650])).
% 4.54/4.73 tff(25939,plain,
% 4.54/4.73 (~(s(s(s(elem!1))) = elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[2149, 25938, 25936])).
% 4.54/4.73 tff(25940,plain,
% 4.54/4.73 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1336, 25939])).
% 4.54/4.73 tff(25941,plain,
% 4.54/4.73 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5699, 25940])).
% 4.54/4.73 tff(25942,plain,
% 4.54/4.73 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25922])).
% 4.54/4.73 tff(25943,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25942])).
% 4.54/4.73 tff(25944,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25923])).
% 4.54/4.73 tff(25945,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25670, 25944])).
% 4.54/4.73 tff(25946,plain,
% 4.54/4.73 (b(s(s(s(elem!1))), elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25945, 25943])).
% 4.54/4.73 tff(25947,plain,
% 4.54/4.73 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25942])).
% 4.54/4.73 tff(25948,plain,
% 4.54/4.73 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25923])).
% 4.54/4.73 tff(25949,plain,
% 4.54/4.73 (b(elem!1, s(s(s(s(z)))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[22341, 25948])).
% 4.54/4.73 tff(25950,plain,
% 4.54/4.73 (b(elem!1, s(s(s(elem!1))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25949, 25947])).
% 4.54/4.73 tff(25951,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25942])).
% 4.54/4.73 tff(25952,plain,
% 4.54/4.73 (~(s(s(s(z))) = s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10692, 25880])).
% 4.54/4.73 tff(25953,plain,
% 4.54/4.73 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[4794, 25952])).
% 4.54/4.73 tff(25954,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[8821, 25921, 175, 25650, 25818])).
% 4.54/4.73 tff(25955,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10478, 25954, 25953])).
% 4.54/4.73 tff(25956,plain,
% 4.54/4.73 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25955, 25951])).
% 4.54/4.73 tff(25957,plain,
% 4.54/4.73 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.54/4.73 inference(transitivity,[status(thm)],[25930, 5923])).
% 4.54/4.73 tff(25958,plain,
% 4.54/4.73 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25957])).
% 4.54/4.73 tff(25959,plain,
% 4.54/4.73 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[6121, 25958])).
% 4.54/4.73 tff(25960,plain,
% 4.54/4.73 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6206, 6169, 2636, 6170, 279, 1929, 6171])).
% 4.54/4.73 tff(25961,plain,
% 4.54/4.73 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(25962,plain,
% 4.54/4.73 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.54/4.73 inference(quant_inst,[status(thm)],[])).
% 4.54/4.73 tff(25963,plain,
% 4.54/4.73 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25962, 25961])).
% 4.54/4.73 tff(25964,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25963, 82, 1294, 6169, 5994])).
% 4.54/4.73 tff(25965,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25966,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25965, 6169, 1294])).
% 4.54/4.73 tff(25967,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17558, 25966, 25960, 5711])).
% 4.54/4.73 tff(25968,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~r(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (elem!1 = s(s(s(s(s(s(elem!1)))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(25969,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25968, 25959, 25956, 25950, 25946, 25941, 25935, 25932])).
% 4.54/4.73 tff(25970,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6063, 25969, 25929])).
% 4.54/4.73 tff(25971,plain,
% 4.54/4.73 (inj_0(s(s(s(z)))) = inj_0(s(s(elem!1)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25922])).
% 4.54/4.73 tff(25972,plain,
% 4.54/4.73 (s(s(z)) = s(elem!1)),
% 4.54/4.73 inference(transitivity,[status(thm)],[53, 25971, 181])).
% 4.54/4.73 tff(25973,plain,
% 4.54/4.73 (b(s(s(elem!1)), s(s(z))) <=> b(s(s(elem!1)), s(elem!1))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25972])).
% 4.54/4.73 tff(25974,plain,
% 4.54/4.73 (b(s(s(s(z))), s(s(z))) <=> b(s(s(elem!1)), s(s(z)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25922])).
% 4.54/4.73 tff(25975,plain,
% 4.54/4.73 (b(s(s(elem!1)), s(s(z)))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25664, 25974])).
% 4.54/4.73 tff(25976,plain,
% 4.54/4.73 (b(s(s(elem!1)), s(elem!1))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25975, 25973])).
% 4.54/4.73 tff(25977,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25922])).
% 4.54/4.73 tff(25978,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.73 inference(symmetry,[status(thm)],[25977])).
% 4.54/4.73 tff(25979,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25955, 25978])).
% 4.54/4.73 tff(25980,plain,
% 4.54/4.73 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5882, 25979, 406])).
% 4.54/4.73 tff(25981,plain,
% 4.54/4.73 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[534, 25980])).
% 4.54/4.73 tff(25982,plain,
% 4.54/4.73 (b(s(elem!1), s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6759, 25981, 25923])).
% 4.54/4.73 tff(25983,plain,
% 4.54/4.73 (r(s(s(elem!1)), s(z)) <=> r(s(s(elem!1)), elem!1)),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25923])).
% 4.54/4.73 tff(25984,plain,
% 4.54/4.73 (r(s(s(s(z))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25922])).
% 4.54/4.73 tff(25985,plain,
% 4.54/4.73 (r(s(s(elem!1)), s(z))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[427, 25984])).
% 4.54/4.73 tff(25986,plain,
% 4.54/4.73 (r(s(s(elem!1)), elem!1)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25985, 25983])).
% 4.54/4.73 tff(25987,plain,
% 4.54/4.73 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1428, 25922])).
% 4.54/4.73 tff(25988,plain,
% 4.54/4.73 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1418, 25987])).
% 4.54/4.73 tff(25989,plain,
% 4.54/4.73 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[196, 25988])).
% 4.54/4.73 tff(25990,plain,
% 4.54/4.73 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[209, 25989])).
% 4.54/4.73 tff(25991,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25942])).
% 4.54/4.73 tff(25992,plain,
% 4.54/4.73 (b(s(s(s(elem!1))), z)),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[175, 25991])).
% 4.54/4.73 tff(25993,plain,
% 4.54/4.73 (~(s(s(elem!1)) = s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[224, 25987])).
% 4.54/4.73 tff(25994,plain,
% 4.54/4.73 (~(elem!1 = s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[231, 25993])).
% 4.54/4.73 tff(25995,plain,
% 4.54/4.73 (~(s(elem!1) = elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1473, 25994])).
% 4.54/4.73 tff(25996,plain,
% 4.54/4.73 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(z))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(25997,plain,
% 4.54/4.73 (((~r(z, s(z))) | (~r(z, s(z))) | (~r(z, z))) <=> ((~r(z, z)) | (~r(z, s(z))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(25998,plain,
% 4.54/4.73 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(z))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(z)))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25997])).
% 4.54/4.73 tff(25999,plain,
% 4.54/4.73 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(z))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(z))))),
% 4.54/4.73 inference(transitivity,[status(thm)],[25998, 25996])).
% 4.54/4.73 tff(26000,plain,
% 4.54/4.73 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(z))) | (~r(z, z)))),
% 4.54/4.73 inference(quant_inst,[status(thm)],[])).
% 4.54/4.73 tff(26001,plain,
% 4.54/4.73 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(z)))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[26000, 25999])).
% 4.54/4.73 tff(26002,plain,
% 4.54/4.73 (~r(z, z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[26001, 82, 22512])).
% 4.54/4.73 tff(26003,plain,
% 4.54/4.73 (r(z, elem!1)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1733, 25923, 22512])).
% 4.54/4.73 tff(26004,plain,
% 4.54/4.73 (~(elem!1 = z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10543, 26003, 26002])).
% 4.54/4.73 tff(26005,plain,
% 4.54/4.73 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17298, 25935, 26003, 25956, 26004, 25995, 25946, 25921, 25987, 25950, 25992])).
% 4.54/4.73 tff(26006,plain,
% 4.54/4.73 (r(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1515, 26005, 25990])).
% 4.54/4.73 tff(26007,plain,
% 4.54/4.73 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25942])).
% 4.54/4.73 tff(26008,plain,
% 4.54/4.73 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[25881, 26007])).
% 4.54/4.73 tff(26009,plain,
% 4.54/4.73 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(26010,plain,
% 4.54/4.73 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(26011,plain,
% 4.54/4.73 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[26010])).
% 4.54/4.73 tff(26012,plain,
% 4.54/4.73 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 4.54/4.73 inference(transitivity,[status(thm)],[26011, 26009])).
% 4.54/4.73 tff(26013,plain,
% 4.54/4.73 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))))),
% 4.54/4.73 inference(quant_inst,[status(thm)],[])).
% 4.54/4.73 tff(26014,plain,
% 4.54/4.73 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[26013, 26012])).
% 4.54/4.73 tff(26015,plain,
% 4.54/4.73 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[26014, 82, 2257, 5994])).
% 4.54/4.73 tff(26016,plain,
% 4.54/4.73 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6226, 26015, 6049])).
% 4.54/4.73 tff(26017,plain,
% 4.54/4.73 (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17611, 26016, 1620, 316, 6210])).
% 4.54/4.73 tff(26018,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17601, 21, 26017, 22970, 17630])).
% 4.54/4.73 tff(26019,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (s(s(s(s(s(s(elem!1)))))) = s(elem!1)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(s(s(elem!1))))))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(elem!1), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(26020,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[26019, 25982, 26008, 26006, 25976, 25928, 25970, 25924])).
% 4.54/4.73 tff(26021,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17558, 26020, 25941])).
% 4.54/4.73 tff(26022,plain,
% 4.54/4.73 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25783, 26021, 25950, 25986, 25959, 25946, 25932])).
% 4.54/4.73 tff(26023,plain,
% 4.54/4.73 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6226, 26022, 25928])).
% 4.54/4.73 tff(26024,plain,
% 4.54/4.73 (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17611, 26023, 25982, 25976, 25970])).
% 4.54/4.73 tff(26025,plain,
% 4.54/4.73 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17602, 26024, 25924])).
% 4.54/4.73 tff(26026,plain,
% 4.54/4.73 (r(z, s(s(z))) <=> r(z, s(elem!1))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[25972])).
% 4.54/4.73 tff(26027,plain,
% 4.54/4.73 (~b(z, s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[25830, 25981, 1741, 22514, 25664])).
% 4.54/4.74 tff(26028,plain,
% 4.54/4.74 (r(z, s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[563, 26027])).
% 4.54/4.74 tff(26029,plain,
% 4.54/4.74 (r(z, s(elem!1))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[26028, 26026])).
% 4.54/4.74 tff(26030,plain,
% 4.54/4.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26031,plain,
% 4.54/4.74 (((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1))))))))) <=> ((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26032,plain,
% 4.54/4.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1))))))))))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[26031])).
% 4.54/4.74 tff(26033,plain,
% 4.54/4.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.54/4.74 inference(transitivity,[status(thm)],[26032, 26030])).
% 4.54/4.74 tff(26034,plain,
% 4.54/4.74 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.54/4.74 inference(quant_inst,[status(thm)],[])).
% 4.54/4.74 tff(26035,plain,
% 4.54/4.74 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(z, s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[26034, 26033])).
% 4.54/4.74 tff(26036,plain,
% 4.54/4.74 (~r(z, s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26035, 82, 26029, 26025])).
% 4.54/4.74 tff(26037,plain,
% 4.54/4.74 ((z = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = z)),
% 4.54/4.74 inference(commutativity,[status(thm)],[])).
% 4.54/4.74 tff(26038,plain,
% 4.54/4.74 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (z = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.74 inference(symmetry,[status(thm)],[26037])).
% 4.54/4.74 tff(26039,plain,
% 4.54/4.74 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(z = s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[26038])).
% 4.54/4.74 tff(26040,plain,
% 4.54/4.74 (~(z = s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[5929, 26039])).
% 4.54/4.74 tff(26041,plain,
% 4.54/4.74 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(s(s(elem!1))))))) | b(z, s(s(s(s(s(s(elem!1))))))) | r(z, s(s(s(s(s(s(elem!1))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(s(s(elem!1))))))) | b(z, s(s(s(s(s(s(elem!1))))))) | r(z, s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26042,plain,
% 4.54/4.74 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(s(s(elem!1))))))) | b(z, s(s(s(s(s(s(elem!1))))))) | r(z, s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.74 inference(quant_inst,[status(thm)],[])).
% 4.54/4.74 tff(26043,plain,
% 4.54/4.74 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(s(s(elem!1))))))) | b(z, s(s(s(s(s(s(elem!1))))))) | r(z, s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[26042, 26041])).
% 4.54/4.74 tff(26044,plain,
% 4.54/4.74 ((z = s(s(s(s(s(s(elem!1))))))) | b(z, s(s(s(s(s(s(elem!1))))))) | r(z, s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26043, 21])).
% 4.54/4.74 tff(26045,plain,
% 4.54/4.74 (b(z, s(s(s(s(s(s(elem!1))))))) | r(z, s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26044, 26040])).
% 4.54/4.74 tff(26046,plain,
% 4.54/4.74 (b(z, s(s(s(s(s(s(elem!1)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26045, 26036])).
% 4.54/4.74 tff(26047,plain,
% 4.54/4.74 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26048,plain,
% 4.54/4.74 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.54/4.74 inference(quant_inst,[status(thm)],[])).
% 4.54/4.74 tff(26049,plain,
% 4.54/4.74 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), z))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[26048, 26047])).
% 4.54/4.74 tff(26050,plain,
% 4.54/4.74 (~r(s(s(s(s(s(s(elem!1)))))), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26049, 82, 26029, 26025])).
% 4.54/4.74 tff(26051,plain,
% 4.54/4.74 (b(s(s(s(s(s(s(elem!1)))))), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[22654, 26050])).
% 4.54/4.74 tff(26052,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26053,plain,
% 4.54/4.74 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26054,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1))))))))))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[26053])).
% 4.54/4.74 tff(26055,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.54/4.74 inference(transitivity,[status(thm)],[26054, 26052])).
% 4.54/4.74 tff(26056,plain,
% 4.54/4.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(z, s(s(elem!1)))))),
% 4.54/4.74 inference(quant_inst,[status(thm)],[])).
% 4.54/4.74 tff(26057,plain,
% 4.54/4.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1))))))))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[26056, 26055])).
% 4.54/4.74 tff(26058,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26057, 338, 25818, 25970, 26023, 26051, 26046])).
% 4.54/4.74 tff(26059,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(26060,plain,
% 4.54/4.74 (~r(s(z), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26059, 427, 175, 1741, 62])).
% 4.54/4.74 tff(26061,plain,
% 4.54/4.74 (b(s(z), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[424, 26060])).
% 4.54/4.74 tff(26062,plain,
% 4.54/4.74 (~r(z, s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[2890, 150, 427])).
% 4.54/4.74 tff(26063,plain,
% 4.54/4.74 (b(z, s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[403, 26062])).
% 4.54/4.74 tff(26064,plain,
% 4.54/4.74 (~r(z, s(s(s(s(z)))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[552, 405, 72])).
% 4.54/4.74 tff(26065,plain,
% 4.54/4.74 (b(z, s(s(s(s(z)))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[391, 26064])).
% 4.54/4.74 tff(26066,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[572, 487, 175, 164, 26065])).
% 4.54/4.74 tff(26067,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[68, 26066])).
% 4.54/4.74 tff(26068,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[90, 72, 70])).
% 4.54/4.74 tff(26069,plain,
% 4.54/4.74 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[68, 26068])).
% 4.54/4.74 tff(26070,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[572, 26069, 554, 487, 164, 175])).
% 4.54/4.74 tff(26071,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(z)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(26072,plain,
% 4.54/4.74 (~r(s(z), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26071, 487, 175, 164, 405, 72])).
% 4.54/4.74 tff(26073,plain,
% 4.54/4.74 (b(s(z), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[455, 26072])).
% 4.54/4.74 tff(26074,plain,
% 4.54/4.74 (~b(s(s(z)), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[521, 26073, 486, 164, 487])).
% 4.54/4.74 tff(26075,plain,
% 4.54/4.74 (r(s(s(z)), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[472, 26074])).
% 4.54/4.74 tff(26076,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[464, 26075, 26067])).
% 4.54/4.74 tff(26077,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1457, 26067, 487])).
% 4.54/4.74 tff(26078,plain,
% 4.54/4.74 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1011, 26077])).
% 4.54/4.74 tff(26079,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[24261, 26078, 175, 1741, 457, 539])).
% 4.54/4.74 tff(26080,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[119, 26079, 26076])).
% 4.54/4.74 tff(26081,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(26082,plain,
% 4.54/4.74 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26081, 405, 1741, 457, 539, 486, 164, 175, 72])).
% 4.54/4.74 tff(26083,plain,
% 4.54/4.74 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[534, 26082])).
% 4.54/4.74 tff(26084,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26085,plain,
% 4.54/4.74 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26086,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[26085])).
% 4.54/4.74 tff(26087,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.54/4.74 inference(transitivity,[status(thm)],[26086, 26084])).
% 4.54/4.74 tff(26088,plain,
% 4.54/4.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.54/4.74 inference(quant_inst,[status(thm)],[])).
% 4.54/4.74 tff(26089,plain,
% 4.54/4.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[26088, 26087])).
% 4.54/4.74 tff(26090,plain,
% 4.54/4.74 (~b(s(z), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26089, 338, 26083, 457, 1741, 539, 175])).
% 4.54/4.74 tff(26091,plain,
% 4.54/4.74 (r(s(z), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[455, 26090])).
% 4.54/4.74 tff(26092,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[90, 26091, 72])).
% 4.54/4.74 tff(26093,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[21492, 26091, 26065, 175, 405])).
% 4.54/4.74 tff(26094,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[68, 26093, 26092])).
% 4.54/4.74 tff(26095,plain,((~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(26096,plain,
% 4.54/4.74 (~r(s(z), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26095, 26063, 72, 26061, 1741, 8668, 175, 150])).
% 4.54/4.74 tff(26097,plain,
% 4.54/4.74 (b(s(z), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26, 26096])).
% 4.54/4.74 tff(26098,plain,
% 4.54/4.74 (~r(z, s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[2890, 164, 427])).
% 4.54/4.74 tff(26099,plain,
% 4.54/4.74 (b(z, s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[403, 26098])).
% 4.54/4.74 tff(26100,plain,
% 4.54/4.74 (~(s(z) = elem!1)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[10349, 8668, 62])).
% 4.54/4.74 tff(26101,plain,
% 4.54/4.74 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1237, 26100])).
% 4.54/4.74 tff(26102,plain,
% 4.54/4.74 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1207, 26101])).
% 4.54/4.74 tff(26103,plain,
% 4.54/4.74 (~r(s(s(elem!1)), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[6732, 19114, 72])).
% 4.54/4.74 tff(26104,plain,
% 4.54/4.74 (b(s(s(elem!1)), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[784, 26103])).
% 4.54/4.74 tff(26105,plain,
% 4.54/4.74 (b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[6754, 6722, 26101])).
% 4.54/4.74 tff(26106,plain,
% 4.54/4.74 (~r(s(z), s(s(elem!1)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[6953, 82, 72, 19114])).
% 4.54/4.74 tff(26107,plain,
% 4.54/4.74 (b(s(z), s(s(elem!1)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[743, 26106])).
% 4.54/4.74 tff(26108,plain,
% 4.54/4.74 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[7851, 26107, 26061, 26105, 26104])).
% 4.54/4.74 tff(26109,plain,
% 4.54/4.74 (r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[6881, 26108, 26102])).
% 4.54/4.74 tff(26110,plain,
% 4.54/4.74 (~(z = elem!1)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[11899, 26109, 164, 165])).
% 4.54/4.74 tff(26111,plain,
% 4.54/4.74 (~(s(elem!1) = s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1912, 26110])).
% 4.54/4.74 tff(26112,plain,
% 4.54/4.74 (~(s(s(elem!1)) = s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[10916, 26111])).
% 4.54/4.74 tff(26113,plain,
% 4.54/4.74 (~r(z, s(s(s(s(z)))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[22417, 363, 26099, 62, 175, 427, 1740])).
% 4.54/4.74 tff(26114,plain,
% 4.54/4.74 (b(z, s(s(s(s(z)))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[391, 26113])).
% 4.54/4.74 tff(26115,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[18635, 26114, 26099, 175, 1740])).
% 4.54/4.74 tff(26116,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[119, 26115])).
% 4.54/4.74 tff(26117,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[2880, 82, 26116, 427])).
% 4.54/4.74 tff(26118,plain,
% 4.54/4.74 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1011, 26117])).
% 4.54/4.74 tff(26119,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26120,plain,
% 4.54/4.74 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(26121,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[26120])).
% 4.54/4.74 tff(26122,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.74 inference(transitivity,[status(thm)],[26121, 26119])).
% 4.54/4.74 tff(26123,plain,
% 4.54/4.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))),
% 4.54/4.74 inference(quant_inst,[status(thm)],[])).
% 4.54/4.74 tff(26124,plain,
% 4.54/4.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[26123, 26122])).
% 4.54/4.74 tff(26125,plain,
% 4.54/4.74 (~b(s(s(z)), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26124, 338, 476, 457, 1741, 539, 175])).
% 4.54/4.74 tff(26126,plain,
% 4.54/4.74 (r(s(s(z)), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[472, 26125])).
% 4.54/4.74 tff(26127,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[22327, 338, 476, 1741, 987, 539, 175])).
% 4.54/4.74 tff(26128,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[68, 26127])).
% 4.54/4.74 tff(26129,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[464, 26128, 26126, 108])).
% 4.54/4.74 tff(26130,plain,((~b(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(26131,plain,
% 4.54/4.74 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26130, 26116, 1741, 26118, 8668, 175, 26061])).
% 4.54/4.74 tff(26132,plain,
% 4.54/4.74 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[534, 26131])).
% 4.54/4.74 tff(26133,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[572, 26132, 175, 164, 26114])).
% 4.54/4.74 tff(26134,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[68, 26133])).
% 4.54/4.74 tff(26135,plain,
% 4.54/4.74 (~b(s(z), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[21944, 26134, 1740, 26116, 26104, 26107, 26112, 26099])).
% 4.54/4.74 tff(26136,plain,
% 4.54/4.74 (~r(s(z), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[90, 26134, 72])).
% 4.54/4.74 tff(26137,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[455, 26136, 26135])).
% 4.54/4.74 tff(26138,plain,((s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(26139,plain,
% 4.54/4.74 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[26138, 1740, 72, 175, 150, 1741, 162, 427, 62])).
% 4.54/4.74 tff(26140,plain,
% 4.54/4.74 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[26139])).
% 4.54/4.74 tff(26141,plain,
% 4.54/4.74 (s(elem!1) = s(s(s(z)))),
% 4.54/4.74 inference(transitivity,[status(thm)],[182, 26140, 44])).
% 4.54/4.74 tff(26142,plain,
% 4.54/4.74 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[26141])).
% 4.54/4.74 tff(26143,plain,
% 4.54/4.74 (elem!1 = s(s(z))),
% 4.54/4.74 inference(transitivity,[status(thm)],[5450, 26142, 52])).
% 4.54/4.74 tff(26144,plain,
% 4.54/4.74 (b(elem!1, s(z)) <=> b(s(s(z)), s(z))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[26143])).
% 4.54/4.75 tff(26145,plain,
% 4.54/4.75 (b(s(s(z)), s(z)) <=> b(elem!1, s(z))),
% 4.54/4.75 inference(symmetry,[status(thm)],[26144])).
% 4.54/4.75 tff(26146,plain,
% 4.54/4.75 ((~b(s(s(z)), s(z))) <=> (~b(elem!1, s(z)))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26145])).
% 4.54/4.75 tff(26147,plain,
% 4.54/4.75 (~b(z, s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[2324, 26139, 140])).
% 4.54/4.75 tff(26148,plain,
% 4.54/4.75 (r(z, s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[391, 26147])).
% 4.54/4.75 tff(26149,plain,
% 4.54/4.75 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1119, 26148, 150])).
% 4.54/4.75 tff(26150,plain,
% 4.54/4.75 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1011, 26149])).
% 4.54/4.75 tff(26151,plain,
% 4.54/4.75 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[24261, 26150, 175, 1741, 26061, 8668])).
% 4.54/4.75 tff(26152,plain,
% 4.54/4.75 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[119, 26151])).
% 4.54/4.75 tff(26153,plain,
% 4.54/4.75 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26130, 26152, 1741, 26150, 8668, 175, 26061])).
% 4.54/4.75 tff(26154,plain,
% 4.54/4.75 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[534, 26153])).
% 4.54/4.75 tff(26155,plain,
% 4.54/4.75 (~r(z, s(s(z)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[558, 26154, 150])).
% 4.54/4.75 tff(26156,plain,
% 4.54/4.75 (b(z, s(s(z)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[563, 26155])).
% 4.54/4.75 tff(26157,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.54/4.75 inference(rewrite,[status(thm)],[])).
% 4.54/4.75 tff(26158,plain,
% 4.54/4.75 (((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z))))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.54/4.75 inference(rewrite,[status(thm)],[])).
% 4.54/4.75 tff(26159,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26158])).
% 4.54/4.75 tff(26160,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.54/4.75 inference(transitivity,[status(thm)],[26159, 26157])).
% 4.54/4.75 tff(26161,plain,
% 4.54/4.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))),
% 4.54/4.75 inference(quant_inst,[status(thm)],[])).
% 4.54/4.75 tff(26162,plain,
% 4.54/4.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26161, 26160])).
% 4.54/4.75 tff(26163,plain,
% 4.54/4.75 ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26162, 338])).
% 4.54/4.75 tff(26164,plain,
% 4.54/4.75 (~b(s(s(z)), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26163, 26156, 1741, 26061, 26063, 1740])).
% 4.54/4.75 tff(26165,plain,
% 4.54/4.75 (~b(elem!1, s(z))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26164, 26146])).
% 4.54/4.75 tff(26166,plain,
% 4.54/4.75 (~(elem!1 = s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[696, 26100])).
% 4.54/4.75 tff(26167,plain,
% 4.54/4.75 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[3236, 26139])).
% 4.54/4.75 tff(26168,plain,
% 4.54/4.75 (b(z, elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[360, 26139, 150, 26167, 162])).
% 4.54/4.75 tff(26169,plain,
% 4.54/4.75 (~(elem!1 = s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1046, 26168, 138])).
% 4.54/4.75 tff(26170,plain,
% 4.54/4.75 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[196, 26167])).
% 4.54/4.75 tff(26171,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[795, 17834])).
% 4.54/4.75 tff(26172,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | b(s(s(elem!1)), z) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.75 tff(26173,plain,
% 4.54/4.75 (b(s(s(elem!1)), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26172, 26139, 175])).
% 4.54/4.75 tff(26174,plain,
% 4.54/4.75 (~b(elem!1, s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[18752, 26173, 72, 26063, 1740, 26100, 26170, 26168, 8668, 26139])).
% 4.54/4.75 tff(26175,plain,
% 4.54/4.75 (r(elem!1, s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1160, 26174, 26169])).
% 4.54/4.75 tff(26176,plain,
% 4.54/4.75 (~r(elem!1, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[3335, 26175, 427])).
% 4.54/4.75 tff(26177,plain,
% 4.54/4.75 (b(elem!1, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[819, 26176, 26166])).
% 4.54/4.75 tff(26178,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26177, 26165])).
% 4.54/4.75 tff(26179,plain,((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | b(z, s(s(s(z)))) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.75 tff(26180,plain,
% 4.54/4.75 (b(z, s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26179, 26097, 175, 427, 72, 138, 1741, 62])).
% 4.54/4.75 tff(26181,plain,
% 4.54/4.75 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[19105, 26180, 26063, 26097, 62, 175])).
% 4.54/4.75 tff(26182,plain,
% 4.54/4.75 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[119, 26181])).
% 4.54/4.75 tff(26183,plain,
% 4.54/4.75 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[2880, 82, 26182, 427])).
% 4.54/4.75 tff(26184,plain,
% 4.54/4.75 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[18591, 26180, 72, 26097, 26063])).
% 4.54/4.75 tff(26185,plain,
% 4.54/4.75 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[368, 26184, 62])).
% 4.54/4.75 tff(26186,plain,
% 4.54/4.75 (b(z, s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[18489, 26185, 26180])).
% 4.54/4.75 tff(26187,plain,
% 4.54/4.75 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[22337, 338, 1741, 8668, 175, 26186])).
% 4.54/4.75 tff(26188,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1011, 26187, 26183])).
% 4.54/4.75 tff(26189,plain,(b(z, s(s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.75 tff(26190,plain,
% 4.54/4.75 (b(z, s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26189, 72, 175, 427, 62, 1741])).
% 4.54/4.75 tff(26191,plain,
% 4.54/4.75 (~b(z, s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[25652, 26190, 1741, 175, 8668])).
% 4.54/4.75 tff(26192,plain,
% 4.54/4.75 (r(z, s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[391, 26191])).
% 4.54/4.75 tff(26193,plain,
% 4.54/4.75 (~r(z, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[11465, 26192, 72])).
% 4.54/4.75 tff(26194,plain,
% 4.54/4.75 (b(z, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[403, 26193])).
% 4.54/4.75 tff(26195,plain,
% 4.54/4.75 (~r(s(z), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[552, 26192, 72])).
% 4.54/4.75 tff(26196,plain,
% 4.54/4.75 (b(s(z), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26, 26195])).
% 4.54/4.75 tff(26197,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[3859, 26196, 26194, 1741, 26061, 26190])).
% 4.54/4.75 tff(26198,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.75 tff(26199,plain,
% 4.54/4.75 (~r(s(z), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26198, 427, 175, 1741, 62])).
% 4.54/4.75 tff(26200,plain,
% 4.54/4.75 (b(s(z), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[106, 26199])).
% 4.54/4.75 tff(26201,plain,
% 4.54/4.75 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[22417, 26063, 371, 62, 175, 427, 1740])).
% 4.54/4.75 tff(26202,plain,
% 4.54/4.75 (b(s(s(elem!1)), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26172, 26201, 175])).
% 4.54/4.75 tff(26203,plain,
% 4.54/4.75 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[11454, 26201])).
% 4.54/4.75 tff(26204,plain,
% 4.54/4.75 (b(s(z), s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[13911, 26203, 651])).
% 4.54/4.75 tff(26205,plain,
% 4.54/4.75 (~b(s(s(elem!1)), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[6963, 26204, 26063, 1740, 26202])).
% 4.54/4.75 tff(26206,plain,
% 4.54/4.75 (r(s(s(elem!1)), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[784, 26205])).
% 4.54/4.75 tff(26207,plain,
% 4.54/4.75 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[919, 150, 371])).
% 4.54/4.75 tff(26208,plain,
% 4.54/4.75 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[689, 26207])).
% 4.54/4.75 tff(26209,plain,
% 4.54/4.75 (~(s(z) = elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[10349, 26208, 62])).
% 4.54/4.75 tff(26210,plain,
% 4.54/4.75 (~(elem!1 = s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[696, 26209])).
% 4.54/4.75 tff(26211,plain,
% 4.54/4.75 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[3236, 26201])).
% 4.54/4.75 tff(26212,plain,
% 4.54/4.75 (~b(z, s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[18581, 26063, 175, 651, 150, 26208, 62, 1740])).
% 4.54/4.75 tff(26213,plain,
% 4.54/4.75 (r(z, s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[161, 26212])).
% 4.54/4.75 tff(26214,plain,
% 4.54/4.75 (b(z, elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[360, 26213, 150, 26211, 26201])).
% 4.54/4.75 tff(26215,plain,
% 4.54/4.75 (~(elem!1 = s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1046, 26214, 138])).
% 4.54/4.75 tff(26216,plain,
% 4.54/4.75 (~r(s(z), elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[16538, 26215, 427, 457, 651, 26210, 175, 1740, 26063, 26214])).
% 4.54/4.75 tff(26217,plain,
% 4.54/4.75 (b(s(z), elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[701, 26216, 26209])).
% 4.54/4.75 tff(26218,plain,
% 4.54/4.75 (r(z, s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[189, 26201, 150])).
% 4.54/4.75 tff(26219,plain,
% 4.54/4.75 (~r(z, elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[348, 26213, 26218, 26211])).
% 4.54/4.75 tff(26220,plain,
% 4.54/4.75 (~(elem!1 = z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1036, 26214])).
% 4.54/4.75 tff(26221,plain,
% 4.54/4.75 (r(elem!1, z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[18760, 26217, 1740, 26063, 26220, 26219])).
% 4.54/4.75 tff(26222,plain,
% 4.54/4.75 (~r(elem!1, s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1081, 26221, 26213])).
% 4.54/4.75 tff(26223,plain,
% 4.54/4.75 (b(elem!1, s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[321, 26222, 26211])).
% 4.54/4.75 tff(26224,plain,
% 4.54/4.75 (~b(elem!1, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1071, 26223, 26063, 26204, 26217, 26214])).
% 4.54/4.75 tff(26225,plain,
% 4.54/4.75 (r(elem!1, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[819, 26224, 26210])).
% 4.54/4.75 tff(26226,plain,
% 4.54/4.75 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[196, 26211])).
% 4.54/4.75 tff(26227,plain,
% 4.54/4.75 (~b(s(s(elem!1)), elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[12668, 26223, 26214, 26202, 26217, 26204])).
% 4.54/4.75 tff(26228,plain,
% 4.54/4.75 (r(s(s(elem!1)), elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[327, 26227, 26226])).
% 4.54/4.75 tff(26229,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[9053, 26228, 26225, 26206])).
% 4.54/4.75 tff(26230,plain,(b(z, s(s(s(z)))) | (~b(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.75 tff(26231,plain,
% 4.54/4.75 (b(z, s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26230, 13914, 427, 26061, 26200, 175, 62, 1740])).
% 4.54/4.75 tff(26232,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.75 inference(rewrite,[status(thm)],[])).
% 4.54/4.75 tff(26233,plain,
% 4.54/4.75 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.75 inference(rewrite,[status(thm)],[])).
% 4.54/4.75 tff(26234,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26233])).
% 4.54/4.75 tff(26235,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.75 inference(transitivity,[status(thm)],[26234, 26232])).
% 4.54/4.75 tff(26236,plain,
% 4.54/4.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 4.54/4.75 inference(quant_inst,[status(thm)],[])).
% 4.54/4.75 tff(26237,plain,
% 4.54/4.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26236, 26235])).
% 4.54/4.75 tff(26238,plain,
% 4.54/4.75 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26237, 338, 26061, 1741, 1740, 26231, 175])).
% 4.54/4.75 tff(26239,plain,
% 4.54/4.75 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[689, 26238])).
% 4.54/4.75 tff(26240,plain,
% 4.54/4.75 (~b(z, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[3859, 26231, 1741, 26061, 1740])).
% 4.54/4.75 tff(26241,plain,
% 4.54/4.75 (r(z, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[403, 26240])).
% 4.54/4.75 tff(26242,plain,
% 4.54/4.75 (~r(z, s(s(z)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[22518, 26241, 13914, 26200, 427])).
% 4.54/4.75 tff(26243,plain,
% 4.54/4.75 (b(z, s(s(z)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[563, 26242])).
% 4.54/4.75 tff(26244,plain,
% 4.54/4.75 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[2908, 26241, 427])).
% 4.54/4.75 tff(26245,plain,
% 4.54/4.75 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[119, 26244])).
% 4.54/4.75 tff(26246,plain,
% 4.54/4.75 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[379, 162, 371])).
% 4.54/4.75 tff(26247,plain,
% 4.54/4.75 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[368, 26246, 62])).
% 4.54/4.75 tff(26248,plain,
% 4.54/4.75 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26247])).
% 4.54/4.75 tff(26249,plain,
% 4.54/4.75 (s(elem!1) = s(s(s(z)))),
% 4.54/4.75 inference(transitivity,[status(thm)],[182, 26248, 44])).
% 4.54/4.75 tff(26250,plain,
% 4.54/4.75 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26249])).
% 4.54/4.75 tff(26251,plain,
% 4.54/4.75 (elem!1 = s(s(z))),
% 4.54/4.75 inference(transitivity,[status(thm)],[5450, 26250, 52])).
% 4.54/4.75 tff(26252,plain,
% 4.54/4.75 (b(elem!1, s(z)) <=> b(s(s(z)), s(z))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26251])).
% 4.54/4.75 tff(26253,plain,
% 4.54/4.75 (b(s(s(z)), s(z)) <=> b(elem!1, s(z))),
% 4.54/4.75 inference(symmetry,[status(thm)],[26252])).
% 4.54/4.75 tff(26254,plain,
% 4.54/4.75 ((~b(s(s(z)), s(z))) <=> (~b(elem!1, s(z)))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26253])).
% 4.54/4.75 tff(26255,plain,
% 4.54/4.75 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.54/4.75 inference(symmetry,[status(thm)],[26250])).
% 4.54/4.75 tff(26256,plain,
% 4.54/4.75 (s(s(z)) = elem!1),
% 4.54/4.75 inference(transitivity,[status(thm)],[53, 26255, 199])).
% 4.54/4.75 tff(26257,plain,
% 4.54/4.75 (b(s(s(z)), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26256])).
% 4.54/4.75 tff(26258,plain,
% 4.54/4.75 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.75 inference(symmetry,[status(thm)],[26257])).
% 4.54/4.75 tff(26259,plain,
% 4.54/4.75 ((s(s(elem!1)) = elem!1) <=> (s(s(s(s(z)))) = elem!1)),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26247])).
% 4.54/4.75 tff(26260,plain,
% 4.54/4.75 ((s(s(elem!1)) = elem!1) <=> (elem!1 = s(s(s(s(z)))))),
% 4.54/4.75 inference(transitivity,[status(thm)],[26259, 139])).
% 4.54/4.75 tff(26261,plain,
% 4.54/4.75 ((~(s(s(elem!1)) = elem!1)) <=> (~(elem!1 = s(s(s(s(z))))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26260])).
% 4.54/4.75 tff(26262,plain,
% 4.54/4.75 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[3236, 26247])).
% 4.54/4.75 tff(26263,plain,
% 4.54/4.75 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[196, 26262])).
% 4.54/4.75 tff(26264,plain,
% 4.54/4.75 (~(elem!1 = s(s(s(s(z)))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26263, 26261])).
% 4.54/4.75 tff(26265,plain,
% 4.54/4.75 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26256])).
% 4.54/4.75 tff(26266,plain,
% 4.54/4.75 (b(s(elem!1), z) <=> b(s(s(s(z))), z)),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26249])).
% 4.54/4.75 tff(26267,plain,
% 4.54/4.75 (b(s(s(s(z))), z) <=> b(s(elem!1), z)),
% 4.54/4.75 inference(symmetry,[status(thm)],[26266])).
% 4.54/4.75 tff(26268,plain,
% 4.54/4.75 (b(s(elem!1), z)),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[1741, 26267])).
% 4.54/4.75 tff(26269,plain,
% 4.54/4.75 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26247])).
% 4.54/4.75 tff(26270,plain,
% 4.54/4.75 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[11454, 26247])).
% 4.54/4.75 tff(26271,plain,
% 4.54/4.75 (s(s(s(z))) = s(elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[4794, 26270])).
% 4.54/4.75 tff(26272,plain,
% 4.54/4.75 (~(s(s(elem!1)) = s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[5466, 26271])).
% 4.54/4.75 tff(26273,plain,
% 4.54/4.75 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[10460, 26271])).
% 4.54/4.75 tff(26274,plain,
% 4.54/4.75 (b(z, s(elem!1)) <=> b(z, s(s(s(z))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26249])).
% 4.54/4.75 tff(26275,plain,
% 4.54/4.75 (b(z, s(s(s(z)))) <=> b(z, s(elem!1))),
% 4.54/4.75 inference(symmetry,[status(thm)],[26274])).
% 4.54/4.75 tff(26276,plain,
% 4.54/4.75 (b(z, s(elem!1))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[3348, 26275])).
% 4.54/4.75 tff(26277,plain,
% 4.54/4.75 (b(s(s(elem!1)), s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[25576, 26276, 140, 26273, 26268, 26272])).
% 4.54/4.75 tff(26278,plain,
% 4.54/4.75 (b(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26277, 26269])).
% 4.54/4.75 tff(26279,plain,
% 4.54/4.75 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[11111, 26278, 175, 601, 3348, 26268])).
% 4.54/4.75 tff(26280,plain,
% 4.54/4.75 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[534, 26279])).
% 4.54/4.75 tff(26281,plain,
% 4.54/4.75 (r(elem!1, s(s(s(z))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26280, 26265])).
% 4.54/4.75 tff(26282,plain,
% 4.54/4.75 (~r(elem!1, s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[17914, 26281, 911])).
% 4.54/4.75 tff(26283,plain,
% 4.54/4.75 (b(elem!1, s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1094, 26282, 26264])).
% 4.54/4.75 tff(26284,plain,
% 4.54/4.75 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26283, 26258])).
% 4.54/4.75 tff(26285,plain,
% 4.54/4.75 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26249])).
% 4.54/4.75 tff(26286,plain,
% 4.54/4.75 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.75 inference(transitivity,[status(thm)],[26269, 26285])).
% 4.54/4.75 tff(26287,plain,
% 4.54/4.75 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26277, 26286])).
% 4.54/4.75 tff(26288,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.54/4.75 inference(rewrite,[status(thm)],[])).
% 4.54/4.75 tff(26289,plain,
% 4.54/4.75 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.54/4.75 inference(rewrite,[status(thm)],[])).
% 4.54/4.75 tff(26290,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26289])).
% 4.54/4.75 tff(26291,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.54/4.75 inference(transitivity,[status(thm)],[26290, 26288])).
% 4.54/4.75 tff(26292,plain,
% 4.54/4.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))),
% 4.54/4.75 inference(quant_inst,[status(thm)],[])).
% 4.54/4.75 tff(26293,plain,
% 4.54/4.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26292, 26291])).
% 4.54/4.75 tff(26294,plain,
% 4.54/4.75 (~b(s(s(z)), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26293, 338, 26061, 26287, 26200, 2911, 26284])).
% 4.54/4.75 tff(26295,plain,
% 4.54/4.75 (~b(elem!1, s(z))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26294, 26254])).
% 4.54/4.75 tff(26296,plain,
% 4.54/4.75 ((s(z) = elem!1) <=> (s(z) = s(s(z)))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26251])).
% 4.54/4.75 tff(26297,plain,
% 4.54/4.75 ((s(z) = s(s(z))) <=> (s(z) = elem!1)),
% 4.54/4.75 inference(symmetry,[status(thm)],[26296])).
% 4.54/4.75 tff(26298,plain,
% 4.54/4.75 ((s(z) = s(s(z))) <=> (elem!1 = s(z))),
% 4.54/4.75 inference(transitivity,[status(thm)],[26297, 748])).
% 4.54/4.75 tff(26299,plain,
% 4.54/4.75 ((~(s(z) = s(s(z)))) <=> (~(elem!1 = s(z)))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26298])).
% 4.54/4.75 tff(26300,plain,
% 4.54/4.75 (~(elem!1 = s(z))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[450, 26299])).
% 4.54/4.75 tff(26301,plain,
% 4.54/4.75 (~r(elem!1, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[3335, 26281, 427])).
% 4.54/4.75 tff(26302,plain,
% 4.54/4.75 (b(elem!1, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[819, 26301, 26300])).
% 4.54/4.75 tff(26303,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26302, 26295])).
% 4.54/4.75 tff(26304,plain,(b(z, s(s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.75 tff(26305,plain,
% 4.54/4.75 (b(z, s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26304, 26245, 26239, 427, 175, 26243, 26231, 1741, 62, 13914])).
% 4.54/4.75 tff(26306,plain,
% 4.54/4.75 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[18489, 26305, 386])).
% 4.54/4.75 tff(26307,plain,
% 4.54/4.75 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[368, 26306, 62])).
% 4.54/4.75 tff(26308,plain,
% 4.54/4.75 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[16143, 26307, 26239])).
% 4.54/4.75 tff(26309,plain,
% 4.54/4.75 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[14568, 26307, 26239])).
% 4.54/4.75 tff(26310,plain,
% 4.54/4.75 (~r(s(s(elem!1)), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[18502, 82, 13914, 26307])).
% 4.54/4.75 tff(26311,plain,
% 4.54/4.75 (b(s(s(elem!1)), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[800, 26310])).
% 4.54/4.75 tff(26312,plain,
% 4.54/4.75 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[22431, 26311, 26305, 1741, 26309, 26308])).
% 4.54/4.75 tff(26313,plain,
% 4.54/4.75 (s(z) = elem!1),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1237, 26312])).
% 4.54/4.75 tff(26314,plain,
% 4.54/4.75 (s(s(z)) = s(elem!1)),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26313])).
% 4.54/4.75 tff(26315,plain,
% 4.54/4.75 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26314])).
% 4.54/4.75 tff(26316,plain,
% 4.54/4.75 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26315])).
% 4.54/4.75 tff(26317,plain,
% 4.54/4.75 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26316])).
% 4.54/4.75 tff(26318,plain,
% 4.54/4.75 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26313])).
% 4.54/4.75 tff(26319,plain,
% 4.54/4.75 (b(elem!1, s(s(s(s(z)))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26200, 26318])).
% 4.54/4.75 tff(26320,plain,
% 4.54/4.75 (b(elem!1, s(s(s(elem!1))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26319, 26317])).
% 4.54/4.75 tff(26321,plain,
% 4.54/4.75 (b(z, s(s(z))) <=> b(z, s(elem!1))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26314])).
% 4.54/4.75 tff(26322,plain,
% 4.54/4.75 (b(z, s(elem!1))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26243, 26321])).
% 4.54/4.75 tff(26323,plain,
% 4.54/4.75 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1428, 26312])).
% 4.54/4.75 tff(26324,plain,
% 4.54/4.75 (~(s(s(elem!1)) = s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[224, 26323])).
% 4.54/4.75 tff(26325,plain,
% 4.54/4.75 (~(elem!1 = s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[231, 26324])).
% 4.54/4.75 tff(26326,plain,
% 4.54/4.75 (~(s(elem!1) = elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1473, 26325])).
% 4.54/4.75 tff(26327,plain,
% 4.54/4.75 (r(z, elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1733, 26313, 26241])).
% 4.54/4.75 tff(26328,plain,
% 4.54/4.75 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1418, 26323])).
% 4.54/4.75 tff(26329,plain,
% 4.54/4.75 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[196, 26328])).
% 4.54/4.75 tff(26330,plain,
% 4.54/4.75 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[209, 26329])).
% 4.54/4.75 tff(26331,plain,
% 4.54/4.75 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26316])).
% 4.54/4.75 tff(26332,plain,
% 4.54/4.75 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26307, 26331])).
% 4.54/4.75 tff(26333,plain,
% 4.54/4.75 (r(z, s(s(s(s(z))))) <=> r(z, s(s(s(elem!1))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26316])).
% 4.54/4.75 tff(26334,plain,
% 4.54/4.75 (r(z, s(s(s(elem!1))))),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[13914, 26333])).
% 4.54/4.75 tff(26335,plain,
% 4.54/4.75 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[19763, 26334, 26305, 26324, 26332])).
% 4.54/4.75 tff(26336,plain,
% 4.54/4.75 (b(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1515, 26335, 26330])).
% 4.54/4.75 tff(26337,plain,
% 4.54/4.75 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26315])).
% 4.54/4.75 tff(26338,plain,
% 4.54/4.75 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26313])).
% 4.54/4.75 tff(26339,plain,
% 4.54/4.75 (r(s(s(s(z))), elem!1)),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[427, 26338])).
% 4.54/4.75 tff(26340,plain,
% 4.54/4.75 (r(s(s(elem!1)), elem!1)),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[26339, 26337])).
% 4.54/4.75 tff(26341,plain,
% 4.54/4.75 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26313])).
% 4.54/4.75 tff(26342,plain,
% 4.54/4.75 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.54/4.75 inference(transitivity,[status(thm)],[26341, 1254])).
% 4.54/4.75 tff(26343,plain,
% 4.54/4.75 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.54/4.75 inference(monotonicity,[status(thm)],[26342])).
% 4.54/4.75 tff(26344,plain,
% 4.54/4.75 (~(s(s(s(elem!1))) = elem!1)),
% 4.54/4.75 inference(modus_ponens,[status(thm)],[1263, 26343])).
% 4.54/4.75 tff(26345,plain,
% 4.54/4.75 (~r(s(s(elem!1)), s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[25645, 26332, 26320, 26344, 26330, 26340])).
% 4.54/4.75 tff(26346,plain,
% 4.54/4.75 (b(s(s(elem!1)), s(elem!1))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[277, 26345, 26324])).
% 4.54/4.75 tff(26347,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[17109, 26346, 26336, 26327, 26326, 26305, 26311, 26322, 26320])).
% 4.54/4.75 tff(26348,plain,(b(z, s(s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.75 tff(26349,plain,
% 4.54/4.75 (b(z, s(s(s(s(z)))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26348, 1740, 1741, 62, 175, 427])).
% 4.54/4.75 tff(26350,plain,
% 4.54/4.75 (~b(z, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[3505, 26349, 175, 26200, 1740])).
% 4.54/4.75 tff(26351,plain,
% 4.54/4.75 (r(z, s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[403, 26350])).
% 4.54/4.75 tff(26352,plain,
% 4.54/4.75 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[11153, 26349, 175, 26200, 1740])).
% 4.54/4.75 tff(26353,plain,
% 4.54/4.75 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[119, 26352])).
% 4.54/4.75 tff(26354,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[2908, 26353, 26351, 427])).
% 4.54/4.75 tff(26355,plain,((~b(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.75 tff(26356,plain,
% 4.54/4.75 (~b(s(z), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26355, 427, 175, 1741, 62])).
% 4.54/4.75 tff(26357,plain,
% 4.54/4.75 (r(s(z), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[26, 26356])).
% 4.54/4.75 tff(26358,plain,
% 4.54/4.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26359,plain,
% 4.54/4.76 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26360,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26359])).
% 4.54/4.76 tff(26361,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.54/4.76 inference(transitivity,[status(thm)],[26360, 26358])).
% 4.54/4.76 tff(26362,plain,
% 4.54/4.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 4.54/4.76 inference(quant_inst,[status(thm)],[])).
% 4.54/4.76 tff(26363,plain,
% 4.54/4.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26362, 26361])).
% 4.54/4.76 tff(26364,plain,
% 4.54/4.76 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26363, 338, 457, 1741, 651, 7684, 175])).
% 4.54/4.76 tff(26365,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1011, 26364, 2881])).
% 4.54/4.76 tff(26366,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26367,plain,
% 4.54/4.76 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26366, 26061, 1741, 26200, 175, 427])).
% 4.54/4.76 tff(26368,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[119, 26367])).
% 4.54/4.76 tff(26369,plain,
% 4.54/4.76 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26366, 457, 1741, 651, 175, 427])).
% 4.54/4.76 tff(26370,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[119, 26369])).
% 4.54/4.76 tff(26371,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26363, 338, 457, 1741, 6715, 651, 7352, 175])).
% 4.54/4.76 tff(26372,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26373,plain,
% 4.54/4.76 (~r(z, s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26372, 164, 1741, 651, 175, 457])).
% 4.54/4.76 tff(26374,plain,
% 4.54/4.76 (b(z, s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[391, 26373])).
% 4.54/4.76 tff(26375,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[6869, 26374, 26099, 175, 651, 26370])).
% 4.54/4.76 tff(26376,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26377,plain,
% 4.54/4.76 (~r(z, s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26376, 26200, 175, 1741, 26061, 427])).
% 4.54/4.76 tff(26378,plain,
% 4.54/4.76 (b(z, s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[149, 26377])).
% 4.54/4.76 tff(26379,plain,
% 4.54/4.76 (~r(z, s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[22518, 1731, 371, 651, 427])).
% 4.54/4.76 tff(26380,plain,
% 4.54/4.76 (b(z, s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[563, 26379])).
% 4.54/4.76 tff(26381,plain,
% 4.54/4.76 (~r(z, s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26376, 651, 175, 1741, 457, 427])).
% 4.54/4.76 tff(26382,plain,
% 4.54/4.76 (b(z, s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[149, 26381])).
% 4.54/4.76 tff(26383,plain,
% 4.54/4.76 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[2472, 2464, 911])).
% 4.54/4.76 tff(26384,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[68, 26383])).
% 4.54/4.76 tff(26385,plain,
% 4.54/4.76 (~b(s(z), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[2939, 26384, 427, 1731, 651])).
% 4.54/4.76 tff(26386,plain,
% 4.54/4.76 (r(s(z), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[455, 26385])).
% 4.54/4.76 tff(26387,plain,
% 4.54/4.76 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26388,plain,
% 4.54/4.76 (((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26389,plain,
% 4.54/4.76 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z))))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26388])).
% 4.54/4.76 tff(26390,plain,
% 4.54/4.76 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.54/4.76 inference(transitivity,[status(thm)],[26389, 26387])).
% 4.54/4.76 tff(26391,plain,
% 4.54/4.76 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(z))))),
% 4.54/4.76 inference(quant_inst,[status(thm)],[])).
% 4.54/4.76 tff(26392,plain,
% 4.54/4.76 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z))))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26391, 26390])).
% 4.54/4.76 tff(26393,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26392, 82, 26386, 427, 2464])).
% 4.54/4.76 tff(26394,plain,((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26395,plain,
% 4.54/4.76 (~r(s(s(s(z))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26394, 1731, 427, 651, 911])).
% 4.54/4.76 tff(26396,plain,
% 4.54/4.76 (b(s(s(s(z))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[639, 26395])).
% 4.54/4.76 tff(26397,plain,
% 4.54/4.76 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[25830, 26396, 1741, 26382, 26380])).
% 4.54/4.76 tff(26398,plain,
% 4.54/4.76 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[534, 26397])).
% 4.54/4.76 tff(26399,plain,
% 4.54/4.76 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[20909, 82, 487, 1038])).
% 4.54/4.76 tff(26400,plain,
% 4.54/4.76 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1457, 487, 1038])).
% 4.54/4.76 tff(26401,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[68, 26400])).
% 4.54/4.76 tff(26402,plain,
% 4.54/4.76 (~b(s(z), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[2939, 26401, 427, 1731, 651])).
% 4.54/4.76 tff(26403,plain,
% 4.54/4.76 (r(s(z), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[455, 26402])).
% 4.54/4.76 tff(26404,plain,
% 4.54/4.76 (~r(s(s(z)), z)),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[21488, 26403, 405])).
% 4.54/4.76 tff(26405,plain,
% 4.54/4.76 (b(s(s(z)), z)),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[956, 26404])).
% 4.54/4.76 tff(26406,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26407,plain,
% 4.54/4.76 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26408,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26407])).
% 4.54/4.76 tff(26409,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.54/4.76 inference(transitivity,[status(thm)],[26408, 26406])).
% 4.54/4.76 tff(26410,plain,
% 4.54/4.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 4.54/4.76 inference(quant_inst,[status(thm)],[])).
% 4.54/4.76 tff(26411,plain,
% 4.54/4.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26410, 26409])).
% 4.54/4.76 tff(26412,plain,
% 4.54/4.76 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26411, 338, 601, 26405, 26401, 175])).
% 4.54/4.76 tff(26413,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[598, 26412, 26399, 61])).
% 4.54/4.76 tff(26414,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26415,plain,
% 4.54/4.76 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26414, 26398, 175, 26380, 405, 427, 1731, 651])).
% 4.54/4.76 tff(26416,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1011, 26415])).
% 4.54/4.76 tff(26417,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26418,plain,
% 4.54/4.76 (((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26419,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26418])).
% 4.54/4.76 tff(26420,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.54/4.76 inference(transitivity,[status(thm)],[26419, 26417])).
% 4.54/4.76 tff(26421,plain,
% 4.54/4.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.54/4.76 inference(quant_inst,[status(thm)],[])).
% 4.54/4.76 tff(26422,plain,
% 4.54/4.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26421, 26420])).
% 4.54/4.76 tff(26423,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26422, 338, 26380, 457, 1741, 26396, 26416, 26370])).
% 4.54/4.76 tff(26424,plain,((~r(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26425,plain,
% 4.54/4.76 (~r(z, s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26424, 13914, 1741, 175, 26357, 427, 26200, 911, 26061])).
% 4.54/4.76 tff(26426,plain,
% 4.54/4.76 (b(z, s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[403, 26425])).
% 4.54/4.76 tff(26427,plain,
% 4.54/4.76 ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[24541, 338, 26061, 1741, 26378, 175])).
% 4.54/4.76 tff(26428,plain,
% 4.54/4.76 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26427, 26426])).
% 4.54/4.76 tff(26429,plain,
% 4.54/4.76 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1011, 26428])).
% 4.54/4.76 tff(26430,plain,
% 4.54/4.76 (~r(s(z), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[619, 556, 405])).
% 4.54/4.76 tff(26431,plain,
% 4.54/4.76 (b(s(z), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[455, 26430])).
% 4.54/4.76 tff(26432,plain,
% 4.54/4.76 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[5800, 26431, 651, 2911, 22516])).
% 4.54/4.76 tff(26433,plain,
% 4.54/4.76 (r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[598, 26432, 61])).
% 4.54/4.76 tff(26434,plain,
% 4.54/4.76 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[18442, 26431, 457, 2911, 486, 175])).
% 4.54/4.76 tff(26435,plain,
% 4.54/4.76 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[534, 26434])).
% 4.54/4.76 tff(26436,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[20909, 82, 26435, 1038, 26433])).
% 4.54/4.76 tff(26437,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26438,plain,
% 4.54/4.76 (~r(z, s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26437, 26429, 26200, 26368, 26061, 26426, 175, 26357, 13914])).
% 4.54/4.76 tff(26439,plain,
% 4.54/4.76 (b(z, s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[563, 26438])).
% 4.54/4.76 tff(26440,plain,
% 4.54/4.76 (b(z, s(s(elem!1)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26304, 26439, 26368, 427, 175, 911, 26378, 1741, 62, 13914])).
% 4.54/4.76 tff(26441,plain,
% 4.54/4.76 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[18489, 26440, 386])).
% 4.54/4.76 tff(26442,plain,
% 4.54/4.76 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[368, 26441, 62])).
% 4.54/4.76 tff(26443,plain,
% 4.54/4.76 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[16143, 26442, 911])).
% 4.54/4.76 tff(26444,plain,
% 4.54/4.76 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[14568, 26442, 911])).
% 4.54/4.76 tff(26445,plain,
% 4.54/4.76 (~r(s(s(elem!1)), z)),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[18502, 82, 13914, 26442])).
% 4.54/4.76 tff(26446,plain,
% 4.54/4.76 (b(s(s(elem!1)), z)),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[800, 26445])).
% 4.54/4.76 tff(26447,plain,
% 4.54/4.76 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[22431, 26446, 26440, 1741, 26444, 26443])).
% 4.54/4.76 tff(26448,plain,
% 4.54/4.76 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1428, 26447])).
% 4.54/4.76 tff(26449,plain,
% 4.54/4.76 (~(s(s(elem!1)) = s(elem!1))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[224, 26448])).
% 4.54/4.76 tff(26450,plain,
% 4.54/4.76 (~(elem!1 = s(elem!1))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[231, 26449])).
% 4.54/4.76 tff(26451,plain,
% 4.54/4.76 (s(z) = elem!1),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1237, 26447])).
% 4.54/4.76 tff(26452,plain,
% 4.54/4.76 (r(elem!1, z)),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[867, 26451, 26357])).
% 4.54/4.76 tff(26453,plain,
% 4.54/4.76 (s(s(z)) = s(elem!1)),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26451])).
% 4.54/4.76 tff(26454,plain,
% 4.54/4.76 (b(z, s(s(z))) <=> b(z, s(elem!1))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26453])).
% 4.54/4.76 tff(26455,plain,
% 4.54/4.76 (b(z, s(elem!1))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26439, 26454])).
% 4.54/4.76 tff(26456,plain,
% 4.54/4.76 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26453])).
% 4.54/4.76 tff(26457,plain,
% 4.54/4.76 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26456])).
% 4.54/4.76 tff(26458,plain,
% 4.54/4.76 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26451])).
% 4.54/4.76 tff(26459,plain,
% 4.54/4.76 (r(s(s(s(z))), elem!1)),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[427, 26458])).
% 4.54/4.76 tff(26460,plain,
% 4.54/4.76 (r(s(s(elem!1)), elem!1)),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26459, 26457])).
% 4.54/4.76 tff(26461,plain,
% 4.54/4.76 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1418, 26448])).
% 4.54/4.76 tff(26462,plain,
% 4.54/4.76 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[196, 26461])).
% 4.54/4.76 tff(26463,plain,
% 4.54/4.76 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[209, 26462])).
% 4.54/4.76 tff(26464,plain,
% 4.54/4.76 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26451])).
% 4.54/4.76 tff(26465,plain,
% 4.54/4.76 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.54/4.76 inference(transitivity,[status(thm)],[26464, 1254])).
% 4.54/4.76 tff(26466,plain,
% 4.54/4.76 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26465])).
% 4.54/4.76 tff(26467,plain,
% 4.54/4.76 (~(s(s(s(elem!1))) = elem!1)),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[1263, 26466])).
% 4.54/4.76 tff(26468,plain,
% 4.54/4.76 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26456])).
% 4.54/4.76 tff(26469,plain,
% 4.54/4.76 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26468])).
% 4.54/4.76 tff(26470,plain,
% 4.54/4.76 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26451])).
% 4.54/4.76 tff(26471,plain,
% 4.54/4.76 (b(elem!1, s(s(s(s(z)))))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26200, 26470])).
% 4.54/4.76 tff(26472,plain,
% 4.54/4.76 (b(elem!1, s(s(s(elem!1))))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26471, 26469])).
% 4.54/4.76 tff(26473,plain,
% 4.54/4.76 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26468])).
% 4.54/4.76 tff(26474,plain,
% 4.54/4.76 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26442, 26473])).
% 4.54/4.76 tff(26475,plain,
% 4.54/4.76 (~r(s(s(elem!1)), s(elem!1))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[25645, 26474, 26472, 26467, 26463, 26460])).
% 4.54/4.76 tff(26476,plain,
% 4.54/4.76 (b(s(s(elem!1)), s(elem!1))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[277, 26475, 26449])).
% 4.54/4.76 tff(26477,plain,
% 4.54/4.76 (~b(s(elem!1), z)),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[9365, 26476, 26440, 26446, 26455])).
% 4.54/4.76 tff(26478,plain,
% 4.54/4.76 (r(s(elem!1), z)),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1812, 26477])).
% 4.54/4.76 tff(26479,plain,
% 4.54/4.76 (~r(elem!1, s(elem!1))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[5187, 26478, 26452])).
% 4.54/4.76 tff(26480,plain,
% 4.54/4.76 (b(elem!1, s(elem!1))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[252, 26479, 26450])).
% 4.54/4.76 tff(26481,plain,
% 4.54/4.76 (r(z, s(s(s(s(z))))) <=> r(z, s(s(s(elem!1))))),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26468])).
% 4.54/4.76 tff(26482,plain,
% 4.54/4.76 (r(z, s(s(s(elem!1))))),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[13914, 26481])).
% 4.54/4.76 tff(26483,plain,
% 4.54/4.76 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[19763, 26482, 26440, 26449, 26474])).
% 4.54/4.76 tff(26484,plain,
% 4.54/4.76 (b(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1515, 26483, 26463])).
% 4.54/4.76 tff(26485,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26468])).
% 4.54/4.76 tff(26486,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26451])).
% 4.54/4.76 tff(26487,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), elem!1)),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26368, 26486])).
% 4.54/4.76 tff(26488,plain,
% 4.54/4.76 (b(s(s(s(elem!1))), elem!1)),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26487, 26485])).
% 4.54/4.76 tff(26489,plain,
% 4.54/4.76 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26468])).
% 4.54/4.76 tff(26490,plain,
% 4.54/4.76 (b(s(s(s(elem!1))), z)),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[175, 26489])).
% 4.54/4.76 tff(26491,plain,
% 4.54/4.76 (b(z, s(z)) <=> b(z, elem!1)),
% 4.54/4.76 inference(monotonicity,[status(thm)],[26451])).
% 4.54/4.76 tff(26492,plain,
% 4.54/4.76 (b(z, elem!1)),
% 4.54/4.76 inference(modus_ponens,[status(thm)],[26426, 26491])).
% 4.54/4.76 tff(26493,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[18123, 338, 26492, 26490, 26472, 26488, 26484, 26480])).
% 4.54/4.76 tff(26494,plain,(b(z, s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26495,plain,
% 4.54/4.76 (b(z, s(s(s(s(z)))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26494, 911, 427, 1741, 175, 62])).
% 4.54/4.76 tff(26496,plain,
% 4.54/4.76 (~b(z, s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[6869, 26495, 175, 26200, 26368])).
% 4.54/4.76 tff(26497,plain,
% 4.54/4.76 (r(z, s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[403, 26496])).
% 4.54/4.76 tff(26498,plain,
% 4.54/4.76 (~r(s(s(s(z))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26394, 26497, 427, 26200, 911])).
% 4.54/4.76 tff(26499,plain,
% 4.54/4.76 (b(s(s(s(z))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[639, 26498])).
% 4.54/4.76 tff(26500,plain,
% 4.54/4.76 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[25660, 26497, 175, 427, 26495, 26200])).
% 4.54/4.76 tff(26501,plain,
% 4.54/4.76 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[68, 26500])).
% 4.54/4.76 tff(26502,plain,
% 4.54/4.76 ($false),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[10974, 338, 1741, 3348, 987, 175, 555])).
% 4.54/4.76 tff(26503,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.76 tff(26504,plain,
% 4.54/4.76 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[26503, 26495, 26378, 175, 1741])).
% 4.54/4.76 tff(26505,plain,
% 4.54/4.76 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1011, 26504])).
% 4.54/4.76 tff(26506,plain,
% 4.54/4.76 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[1457, 26505, 26501])).
% 4.54/4.76 tff(26507,plain,
% 4.54/4.76 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[534, 26506])).
% 4.54/4.76 tff(26508,plain,
% 4.54/4.76 (~b(z, s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[25830, 26507, 1741, 26378, 26499])).
% 4.54/4.76 tff(26509,plain,
% 4.54/4.76 (r(z, s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[563, 26508])).
% 4.54/4.76 tff(26510,plain,
% 4.54/4.76 (~r(s(z), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[619, 26509, 26357])).
% 4.54/4.76 tff(26511,plain,
% 4.54/4.76 (b(s(z), s(s(z)))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[455, 26510])).
% 4.54/4.76 tff(26512,plain,
% 4.54/4.76 (~r(s(s(z)), s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[2514, 26509, 26497])).
% 4.54/4.76 tff(26513,plain,
% 4.54/4.76 (b(s(s(z)), s(z))),
% 4.54/4.76 inference(unit_resolution,[status(thm)],[472, 26512])).
% 4.54/4.76 tff(26514,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26515,plain,
% 4.54/4.76 (((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.54/4.76 inference(rewrite,[status(thm)],[])).
% 4.54/4.76 tff(26516,plain,
% 4.54/4.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26515])).
% 4.54/4.77 tff(26517,plain,
% 4.54/4.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.54/4.77 inference(transitivity,[status(thm)],[26516, 26514])).
% 4.54/4.77 tff(26518,plain,
% 4.54/4.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))))),
% 4.54/4.77 inference(quant_inst,[status(thm)],[])).
% 4.54/4.77 tff(26519,plain,
% 4.54/4.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26518, 26517])).
% 4.54/4.77 tff(26520,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26519, 338, 26507, 26061, 26513, 26499, 26511])).
% 4.54/4.77 tff(26521,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26522,plain,
% 4.54/4.77 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26521, 427, 175, 1741, 62])).
% 4.54/4.77 tff(26523,plain,
% 4.54/4.77 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[689, 26522])).
% 4.54/4.77 tff(26524,plain,
% 4.54/4.77 ((~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[24514, 338, 26061, 1741, 26378, 175])).
% 4.54/4.77 tff(26525,plain,
% 4.54/4.77 (~b(z, s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26524, 26523])).
% 4.54/4.77 tff(26526,plain,
% 4.54/4.77 (r(z, s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[403, 26525])).
% 4.54/4.77 tff(26527,plain,
% 4.54/4.77 (~b(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[25652, 26523, 1741, 175, 26378])).
% 4.54/4.77 tff(26528,plain,
% 4.54/4.77 (r(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[391, 26527])).
% 4.54/4.77 tff(26529,plain,
% 4.54/4.77 (~r(z, s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22518, 26528, 26526, 26200, 427])).
% 4.54/4.77 tff(26530,plain,
% 4.54/4.77 (b(z, s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[563, 26529])).
% 4.54/4.77 tff(26531,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[9550, 338, 457, 987, 651, 2911, 539])).
% 4.54/4.77 tff(26532,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26533,plain,
% 4.54/4.77 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26532, 26523, 26061, 26368, 26200])).
% 4.54/4.77 tff(26534,plain,
% 4.54/4.77 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1011, 26533])).
% 4.54/4.77 tff(26535,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26414, 26530, 175, 26526, 26357, 427, 26534, 26200])).
% 4.54/4.77 tff(26536,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[534, 26535])).
% 4.54/4.77 tff(26537,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22487, 338, 26536, 26530, 1741, 26378, 26523, 175])).
% 4.54/4.77 tff(26538,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26539,plain,
% 4.54/4.77 (~r(s(s(s(z))), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26538, 1741, 175, 62])).
% 4.54/4.77 tff(26540,plain,
% 4.54/4.77 (b(s(s(s(z))), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[437, 26539])).
% 4.54/4.77 tff(26541,plain,
% 4.54/4.77 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[11205, 406, 72])).
% 4.54/4.77 tff(26542,plain,
% 4.54/4.77 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[689, 26541])).
% 4.54/4.77 tff(26543,plain,
% 4.54/4.77 (~b(z, s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[10509, 24132, 175, 1741, 26542])).
% 4.54/4.77 tff(26544,plain,
% 4.54/4.77 (r(z, s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[149, 26543])).
% 4.54/4.77 tff(26545,plain,
% 4.54/4.77 (~r(z, s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[16605, 26544, 406])).
% 4.54/4.77 tff(26546,plain,
% 4.54/4.77 (b(z, s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[403, 26545])).
% 4.54/4.77 tff(26547,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[18536, 26546, 406, 26544])).
% 4.54/4.77 tff(26548,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[534, 26547])).
% 4.54/4.77 tff(26549,plain,
% 4.54/4.77 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22327, 338, 26548, 1741, 24132, 26542, 175])).
% 4.54/4.77 tff(26550,plain,
% 4.54/4.77 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[68, 26549])).
% 4.54/4.77 tff(26551,plain,
% 4.54/4.77 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22309, 338, 26548, 1741, 24132, 26542, 175])).
% 4.54/4.77 tff(26552,plain,
% 4.54/4.77 (r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[598, 26551, 61])).
% 4.54/4.77 tff(26553,plain,
% 4.54/4.77 (~r(s(s(z)), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[581, 82, 72, 26552])).
% 4.54/4.77 tff(26554,plain,
% 4.54/4.77 (b(s(s(z)), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[472, 26553])).
% 4.54/4.77 tff(26555,plain,
% 4.54/4.77 (~r(s(z), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[414, 26544, 406])).
% 4.54/4.77 tff(26556,plain,
% 4.54/4.77 (b(s(z), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26, 26555])).
% 4.54/4.77 tff(26557,plain,
% 4.54/4.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))))),
% 4.54/4.77 inference(rewrite,[status(thm)],[])).
% 4.54/4.77 tff(26558,plain,
% 4.54/4.77 (((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))))),
% 4.54/4.77 inference(rewrite,[status(thm)],[])).
% 4.54/4.77 tff(26559,plain,
% 4.54/4.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26558])).
% 4.54/4.77 tff(26560,plain,
% 4.54/4.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))))),
% 4.54/4.77 inference(transitivity,[status(thm)],[26559, 26557])).
% 4.54/4.77 tff(26561,plain,
% 4.54/4.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 4.54/4.77 inference(quant_inst,[status(thm)],[])).
% 4.54/4.77 tff(26562,plain,
% 4.54/4.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z)))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26561, 26560])).
% 4.54/4.77 tff(26563,plain,
% 4.54/4.77 (~b(z, s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26562, 338, 26546, 1741, 26556, 26554, 458])).
% 4.54/4.77 tff(26564,plain,
% 4.54/4.77 (r(z, s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[563, 26563])).
% 4.54/4.77 tff(26565,plain,
% 4.54/4.77 (~r(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22491, 26564, 26550])).
% 4.54/4.77 tff(26566,plain,
% 4.54/4.77 (b(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[391, 26565])).
% 4.54/4.77 tff(26567,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22337, 338, 1741, 24132, 26542, 175, 26566])).
% 4.54/4.77 tff(26568,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26569,plain,
% 4.54/4.77 (~r(s(z), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26568, 16950, 175, 26540, 1741])).
% 4.54/4.77 tff(26570,plain,
% 4.54/4.77 (b(s(z), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[424, 26569])).
% 4.54/4.77 tff(26571,plain,
% 4.54/4.77 (~b(s(z), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1749, 404, 1741, 26540, 26570])).
% 4.54/4.77 tff(26572,plain,
% 4.54/4.77 (r(s(z), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26, 26571])).
% 4.54/4.77 tff(26573,plain,
% 4.54/4.77 (~r(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[552, 26572, 16950])).
% 4.54/4.77 tff(26574,plain,
% 4.54/4.77 (b(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[391, 26573])).
% 4.54/4.77 tff(26575,plain,
% 4.54/4.77 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[21492, 70, 555, 175, 405])).
% 4.54/4.77 tff(26576,plain,
% 4.54/4.77 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[21542, 70, 486, 555, 175])).
% 4.54/4.77 tff(26577,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[68, 26576, 26575])).
% 4.54/4.77 tff(26578,plain,((~r(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26579,plain,
% 4.54/4.77 (~r(s(z), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26578, 404, 26574, 175, 26572])).
% 4.54/4.77 tff(26580,plain,
% 4.54/4.77 (b(s(z), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[455, 26579])).
% 4.54/4.77 tff(26581,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[18410, 150, 26540, 175, 26570, 404, 26574])).
% 4.54/4.77 tff(26582,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[534, 26581])).
% 4.54/4.77 tff(26583,plain,
% 4.54/4.77 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[536, 108, 26540, 26570, 404, 150])).
% 4.54/4.77 tff(26584,plain,
% 4.54/4.77 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[68, 26583])).
% 4.54/4.77 tff(26585,plain,
% 4.54/4.77 (~r(s(z), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[21492, 26584, 26574, 175, 26572])).
% 4.54/4.77 tff(26586,plain,
% 4.54/4.77 (b(s(z), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[455, 26585])).
% 4.54/4.77 tff(26587,plain,
% 4.54/4.77 (~b(s(z), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1749, 404, 1741, 458, 457])).
% 4.54/4.77 tff(26588,plain,
% 4.54/4.77 (r(s(z), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26, 26587])).
% 4.54/4.77 tff(26589,plain,
% 4.54/4.77 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[6732, 72, 786])).
% 4.54/4.77 tff(26590,plain,
% 4.54/4.77 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[368, 26589, 62])).
% 4.54/4.77 tff(26591,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[2324, 554, 26590, 140])).
% 4.54/4.77 tff(26592,plain,((~r(s(z), s(s(s(s(z)))))) | b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26593,plain,
% 4.54/4.77 (~r(s(s(elem!1)), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26592, 140, 62, 72, 26588])).
% 4.54/4.77 tff(26594,plain,
% 4.54/4.77 (b(s(s(elem!1)), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[784, 26593])).
% 4.54/4.77 tff(26595,plain,
% 4.54/4.77 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[6790, 26594, 458, 457, 476, 474])).
% 4.54/4.77 tff(26596,plain,
% 4.54/4.77 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[6754, 26595, 12141])).
% 4.54/4.77 tff(26597,plain,
% 4.54/4.77 (s(z) = elem!1),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1237, 26596])).
% 4.54/4.77 tff(26598,plain,
% 4.54/4.77 (b(s(elem!1), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[6759, 26597, 476])).
% 4.54/4.77 tff(26599,plain,
% 4.54/4.77 (s(s(z)) = s(elem!1)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26597])).
% 4.54/4.77 tff(26600,plain,
% 4.54/4.77 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26599])).
% 4.54/4.77 tff(26601,plain,
% 4.54/4.77 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26600])).
% 4.54/4.77 tff(26602,plain,
% 4.54/4.77 (b(s(s(elem!1)), z)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[1741, 26601])).
% 4.54/4.77 tff(26603,plain,
% 4.54/4.77 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26599])).
% 4.54/4.77 tff(26604,plain,
% 4.54/4.77 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26597])).
% 4.54/4.77 tff(26605,plain,
% 4.54/4.77 (b(elem!1, s(s(z)))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[474, 26604])).
% 4.54/4.77 tff(26606,plain,
% 4.54/4.77 (b(elem!1, s(elem!1))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26605, 26603])).
% 4.54/4.77 tff(26607,plain,
% 4.54/4.77 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1428, 26596])).
% 4.54/4.77 tff(26608,plain,
% 4.54/4.77 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1418, 26607])).
% 4.54/4.77 tff(26609,plain,
% 4.54/4.77 (r(elem!1, z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[867, 26597, 26588])).
% 4.54/4.77 tff(26610,plain,
% 4.54/4.77 (~r(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1081, 26609, 162])).
% 4.54/4.77 tff(26611,plain,
% 4.54/4.77 (b(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[321, 26610, 26608])).
% 4.54/4.77 tff(26612,plain,
% 4.54/4.77 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26597])).
% 4.54/4.77 tff(26613,plain,
% 4.54/4.77 (b(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26594, 26612])).
% 4.54/4.77 tff(26614,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[593, 476, 458, 457, 72])).
% 4.54/4.77 tff(26615,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[598, 26614, 61])).
% 4.54/4.77 tff(26616,plain,
% 4.54/4.77 (~(elem!1 = z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[20938, 26615, 62])).
% 4.54/4.77 tff(26617,plain,
% 4.54/4.77 (~(z = elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[2752, 26616])).
% 4.54/4.77 tff(26618,plain,
% 4.54/4.77 (elem!1 = s(z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[752, 26597])).
% 4.54/4.77 tff(26619,plain,
% 4.54/4.77 (~r(z, elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[899, 26618, 393])).
% 4.54/4.77 tff(26620,plain,
% 4.54/4.77 (b(z, elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[353, 26619, 26617])).
% 4.54/4.77 tff(26621,plain,
% 4.54/4.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.54/4.77 inference(rewrite,[status(thm)],[])).
% 4.54/4.77 tff(26622,plain,
% 4.54/4.77 (((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.54/4.77 inference(rewrite,[status(thm)],[])).
% 4.54/4.77 tff(26623,plain,
% 4.54/4.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26622])).
% 4.54/4.77 tff(26624,plain,
% 4.54/4.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.54/4.77 inference(transitivity,[status(thm)],[26623, 26621])).
% 4.54/4.77 tff(26625,plain,
% 4.54/4.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 4.54/4.77 inference(quant_inst,[status(thm)],[])).
% 4.54/4.77 tff(26626,plain,
% 4.54/4.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26625, 26624])).
% 4.54/4.77 tff(26627,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26626, 338, 26620, 26613, 26611, 26606, 26602, 26598])).
% 4.54/4.77 tff(26628,plain,(b(z, s(s(elem!1))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(z)))) | r(z, s(z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26629,plain,
% 4.54/4.77 (b(z, s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26628, 26586, 1741, 393, 26582, 26540, 26570, 150, 62, 16950])).
% 4.54/4.77 tff(26630,plain,
% 4.54/4.77 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[16893, 26629, 138])).
% 4.54/4.77 tff(26631,plain,
% 4.54/4.77 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26095, 150, 16950, 26570, 1741, 404, 175, 26572])).
% 4.54/4.77 tff(26632,plain,
% 4.54/4.77 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[689, 26631])).
% 4.54/4.77 tff(26633,plain,
% 4.54/4.77 (~(s(z) = elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[16899, 26629, 138])).
% 4.54/4.77 tff(26634,plain,
% 4.54/4.77 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1237, 26633])).
% 4.54/4.77 tff(26635,plain,
% 4.54/4.77 (~b(s(z), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[18423, 26634, 62, 26540, 26632, 26630, 26570, 16949])).
% 4.54/4.77 tff(26636,plain,
% 4.54/4.77 (r(s(z), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[743, 26635])).
% 4.54/4.77 tff(26637,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[593, 26582, 26540, 26570, 16950])).
% 4.54/4.77 tff(26638,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[598, 26637, 61])).
% 4.54/4.77 tff(26639,plain,
% 4.54/4.77 (~(elem!1 = z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[20938, 26638, 62])).
% 4.54/4.77 tff(26640,plain,
% 4.54/4.77 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[18230, 26636, 108, 26629, 26572, 175, 26574])).
% 4.54/4.77 tff(26641,plain,
% 4.54/4.77 (s(s(s(z))) = s(elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[4794, 26640])).
% 4.54/4.77 tff(26642,plain,
% 4.54/4.77 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[10460, 26641])).
% 4.54/4.77 tff(26643,plain,
% 4.54/4.77 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1418, 26642])).
% 4.54/4.77 tff(26644,plain,
% 4.54/4.77 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[10692, 26641])).
% 4.54/4.77 tff(26645,plain,
% 4.54/4.77 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26644])).
% 4.54/4.77 tff(26646,plain,
% 4.54/4.77 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(symmetry,[status(thm)],[26645])).
% 4.54/4.77 tff(26647,plain,
% 4.54/4.77 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26644])).
% 4.54/4.77 tff(26648,plain,
% 4.54/4.77 (s(elem!1) = s(s(s(z)))),
% 4.54/4.77 inference(transitivity,[status(thm)],[182, 26647, 44])).
% 4.54/4.77 tff(26649,plain,
% 4.54/4.77 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26648])).
% 4.54/4.77 tff(26650,plain,
% 4.54/4.77 (elem!1 = s(s(z))),
% 4.54/4.77 inference(transitivity,[status(thm)],[5450, 26649, 52])).
% 4.54/4.77 tff(26651,plain,
% 4.54/4.77 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26650])).
% 4.54/4.77 tff(26652,plain,
% 4.54/4.77 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.77 inference(symmetry,[status(thm)],[26651])).
% 4.54/4.77 tff(26653,plain,
% 4.54/4.77 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(transitivity,[status(thm)],[26652, 26646])).
% 4.54/4.77 tff(26654,plain,
% 4.54/4.77 (b(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26584, 26653])).
% 4.54/4.77 tff(26655,plain,
% 4.54/4.77 (r(elem!1, s(z)) <=> r(s(s(z)), s(z))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26650])).
% 4.54/4.77 tff(26656,plain,
% 4.54/4.77 (r(s(s(z)), s(z)) <=> r(elem!1, s(z))),
% 4.54/4.77 inference(symmetry,[status(thm)],[26655])).
% 4.54/4.77 tff(26657,plain,
% 4.54/4.77 (~b(s(s(z)), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[484, 26586, 26540, 26570, 26582])).
% 4.54/4.77 tff(26658,plain,
% 4.54/4.77 (r(s(s(z)), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[472, 26657])).
% 4.54/4.77 tff(26659,plain,
% 4.54/4.77 (r(elem!1, s(z))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26658, 26656])).
% 4.54/4.77 tff(26660,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[17366, 26659, 26654, 26629, 26572, 26643, 26639, 26636])).
% 4.54/4.77 tff(26661,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | b(z, s(s(s(z)))) | (~b(s(s(s(z))), z)) | r(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26662,plain,
% 4.54/4.77 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26661, 138, 62, 16949, 175, 1741, 393])).
% 4.54/4.77 tff(26663,plain,
% 4.54/4.77 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[119, 26662])).
% 4.54/4.77 tff(26664,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[18442, 26582, 26663, 26570, 404, 26580, 175])).
% 4.54/4.77 tff(26665,plain,(b(z, s(s(s(z)))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | (~b(s(s(s(z))), z)) | r(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26666,plain,
% 4.54/4.77 (b(z, s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26665, 393, 62, 16949, 1741, 175])).
% 4.54/4.77 tff(26667,plain,
% 4.54/4.77 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[25652, 26666, 1741, 175, 26574])).
% 4.54/4.77 tff(26668,plain,
% 4.54/4.77 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[689, 26667])).
% 4.54/4.77 tff(26669,plain,
% 4.54/4.77 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26503, 26666, 26574, 175, 1741])).
% 4.54/4.77 tff(26670,plain,
% 4.54/4.77 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1011, 26669])).
% 4.54/4.77 tff(26671,plain,
% 4.54/4.77 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22114, 26668, 26540, 26570, 26580, 26670])).
% 4.54/4.77 tff(26672,plain,
% 4.54/4.77 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[2324, 140, 555])).
% 4.54/4.77 tff(26673,plain,
% 4.54/4.77 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[368, 26672, 62])).
% 4.54/4.77 tff(26674,plain,
% 4.54/4.77 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[14568, 26673, 911])).
% 4.54/4.77 tff(26675,plain,
% 4.54/4.77 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[16143, 26673, 911])).
% 4.54/4.77 tff(26676,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[19473, 26675, 26674, 458, 3348, 405, 140])).
% 4.54/4.77 tff(26677,plain,(b(z, s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26678,plain,
% 4.54/4.77 (b(z, s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26677, 26666, 26540, 26572, 26668, 62, 26574])).
% 4.54/4.77 tff(26679,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[20909, 82, 487, 26670])).
% 4.54/4.77 tff(26680,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[598, 26679, 61])).
% 4.54/4.77 tff(26681,plain,
% 4.54/4.77 (~(elem!1 = z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[20938, 26680, 62])).
% 4.54/4.77 tff(26682,assumption,(~r(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 4.54/4.77 tff(26683,plain,
% 4.54/4.77 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[68, 26682])).
% 4.54/4.77 tff(26684,plain,
% 4.54/4.77 (~r(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[552, 405, 16950])).
% 4.54/4.77 tff(26685,plain,
% 4.54/4.77 (b(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[391, 26684])).
% 4.54/4.77 tff(26686,plain,
% 4.54/4.77 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26503, 3348, 26685, 175, 1741])).
% 4.54/4.77 tff(26687,plain,
% 4.54/4.77 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1011, 26686])).
% 4.54/4.77 tff(26688,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[20909, 82, 487, 26687])).
% 4.54/4.77 tff(26689,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[598, 26688, 61])).
% 4.54/4.77 tff(26690,plain,
% 4.54/4.77 (~b(z, s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[982, 26689, 175, 26685, 26683])).
% 4.54/4.77 tff(26691,plain,
% 4.54/4.77 (r(z, s(s(z)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[563, 26690])).
% 4.54/4.77 tff(26692,plain,
% 4.54/4.77 (r(z, elem!1)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26691, 21324])).
% 4.54/4.77 tff(26693,plain,
% 4.54/4.77 (b(s(z), s(s(s(s(z))))) <=> b(s(z), s(s(elem!1)))),
% 4.54/4.77 inference(symmetry,[status(thm)],[18084])).
% 4.54/4.77 tff(26694,plain,
% 4.54/4.77 ((~b(s(z), s(s(s(s(z)))))) <=> (~b(s(z), s(s(elem!1))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26693])).
% 4.54/4.77 tff(26695,plain,
% 4.54/4.77 (~b(s(z), s(s(elem!1)))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[16949, 26694])).
% 4.54/4.77 tff(26696,plain,
% 4.54/4.77 (b(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26683, 21177])).
% 4.54/4.77 tff(26697,plain,
% 4.54/4.77 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(s(z))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[183])).
% 4.54/4.77 tff(26698,plain,
% 4.54/4.77 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.54/4.77 inference(symmetry,[status(thm)],[26697])).
% 4.54/4.77 tff(26699,plain,
% 4.54/4.77 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.54/4.77 inference(transitivity,[status(thm)],[17907, 26698])).
% 4.54/4.77 tff(26700,plain,
% 4.54/4.77 (r(elem!1, s(elem!1))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[487, 26699])).
% 4.54/4.77 tff(26701,plain,
% 4.54/4.77 (r(s(s(elem!1)), s(elem!1))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26687, 18076])).
% 4.54/4.77 tff(26702,plain,
% 4.54/4.77 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(symmetry,[status(thm)],[17911])).
% 4.54/4.77 tff(26703,plain,
% 4.54/4.77 (r(s(s(z)), s(s(s(s(z))))) <=> r(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(transitivity,[status(thm)],[18740, 26702])).
% 4.54/4.77 tff(26704,plain,
% 4.54/4.77 ((~r(s(s(z)), s(s(s(s(z)))))) <=> (~r(elem!1, s(s(elem!1))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26703])).
% 4.54/4.77 tff(26705,plain,
% 4.54/4.77 (~r(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26688, 26704])).
% 4.54/4.77 tff(26706,plain,
% 4.54/4.77 ((~r(s(s(s(s(z)))), s(s(z)))) <=> (~r(s(s(elem!1)), elem!1))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[17877])).
% 4.54/4.77 tff(26707,plain,
% 4.54/4.77 (~r(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26682, 26706])).
% 4.54/4.77 tff(26708,plain,
% 4.54/4.77 (b(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26689, 17999])).
% 4.54/4.77 tff(26709,plain,
% 4.54/4.77 (b(s(s(elem!1)), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26172, 178, 175])).
% 4.54/4.77 tff(26710,plain,
% 4.54/4.77 (~b(elem!1, z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[17364, 26696, 8722, 26709, 26708])).
% 4.54/4.77 tff(26711,plain,
% 4.54/4.77 (r(elem!1, z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[846, 26710, 719])).
% 4.54/4.77 tff(26712,plain,
% 4.54/4.77 (b(s(s(s(elem!1))), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[17071, 26711, 405, 16919, 26692, 17882, 22355, 8722, 719, 26707, 26705])).
% 4.54/4.77 tff(26713,plain,
% 4.54/4.77 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[11736, 26696, 26700, 26708, 25819, 17899, 26701])).
% 4.54/4.77 tff(26714,plain,
% 4.54/4.77 (b(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1971, 26713, 22530])).
% 4.54/4.77 tff(26715,plain,
% 4.54/4.77 (~b(z, s(s(s(elem!1))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1804, 26712, 22536, 19396, 26714])).
% 4.54/4.77 tff(26716,plain,
% 4.54/4.77 (r(z, s(s(s(elem!1))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1373, 26715])).
% 4.54/4.77 tff(26717,plain,
% 4.54/4.77 (b(elem!1, s(s(s(elem!1))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[6374, 26716, 26710, 26712, 719])).
% 4.54/4.77 tff(26718,plain,
% 4.54/4.77 ((~r(s(z), s(s(z)))) <=> (~r(s(z), elem!1))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[19277])).
% 4.54/4.77 tff(26719,assumption,(~r(s(z), s(s(z)))), introduced(assumption)).
% 4.54/4.77 tff(26720,plain,
% 4.54/4.77 (~r(s(z), elem!1)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26719, 26718])).
% 4.54/4.77 tff(26721,plain,
% 4.54/4.77 (r(s(z), s(s(elem!1)))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[16950, 17864])).
% 4.54/4.77 tff(26722,plain,
% 4.54/4.77 (~r(elem!1, s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[17366, 26696, 8722, 405, 22355, 719, 26721])).
% 4.54/4.77 tff(26723,plain,
% 4.54/4.77 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[17339, 26715, 405, 26685, 26692, 22355, 26711, 719, 26722, 26720, 17882])).
% 4.54/4.77 tff(26724,plain,
% 4.54/4.77 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1292, 26723, 25819])).
% 4.54/4.77 tff(26725,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[17405, 26724, 26717, 405, 8722, 719, 26701, 26700, 26696, 26695, 22355, 26692])).
% 4.54/4.77 tff(26726,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | (~r(s(s(z)), s(s(s(z))))) | r(s(s(s(s(z)))), s(s(z))) | r(s(z), s(s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26727,plain,
% 4.54/4.77 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26726, 26681, 26678, 26572, 487, 26671, 26579, 1741, 26666, 16949, 175])).
% 4.54/4.77 tff(26728,plain,
% 4.54/4.77 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[368, 26727, 62])).
% 4.54/4.77 tff(26729,plain,
% 4.54/4.77 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22025, 26728, 26540, 26572, 26666, 26668])).
% 4.54/4.77 tff(26730,plain,
% 4.54/4.77 (s(z) = elem!1),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1237, 26729])).
% 4.54/4.77 tff(26731,plain,
% 4.54/4.77 (s(s(z)) = s(elem!1)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26730])).
% 4.54/4.77 tff(26732,plain,
% 4.54/4.77 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26731])).
% 4.54/4.77 tff(26733,plain,
% 4.54/4.77 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26732])).
% 4.54/4.77 tff(26734,plain,
% 4.54/4.77 (b(s(s(elem!1)), z)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[1741, 26733])).
% 4.54/4.77 tff(26735,plain,
% 4.54/4.77 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26732])).
% 4.54/4.77 tff(26736,plain,
% 4.54/4.77 (b(s(z), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26730])).
% 4.54/4.77 tff(26737,plain,
% 4.54/4.77 (b(elem!1, s(s(s(z))))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26570, 26736])).
% 4.54/4.77 tff(26738,plain,
% 4.54/4.77 (b(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26737, 26735])).
% 4.54/4.77 tff(26739,plain,
% 4.54/4.77 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26730])).
% 4.54/4.77 tff(26740,plain,
% 4.54/4.77 (~r(s(s(elem!1)), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[6732, 26728, 16950])).
% 4.54/4.77 tff(26741,plain,
% 4.54/4.77 (b(s(s(elem!1)), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[784, 26740])).
% 4.54/4.77 tff(26742,plain,
% 4.54/4.77 (b(s(s(elem!1)), elem!1)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26741, 26739])).
% 4.54/4.77 tff(26743,plain,
% 4.54/4.77 (~(z = elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[2752, 26681])).
% 4.54/4.77 tff(26744,plain,
% 4.54/4.77 (elem!1 = s(z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[752, 26730])).
% 4.54/4.77 tff(26745,plain,
% 4.54/4.77 (~r(z, elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[899, 26744, 393])).
% 4.54/4.77 tff(26746,plain,
% 4.54/4.77 (b(z, elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[353, 26745, 26743])).
% 4.54/4.77 tff(26747,plain,
% 4.54/4.77 ($false),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[18008, 338, 26746, 26742, 26738, 26678, 26734])).
% 4.54/4.77 tff(26748,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | r(z, s(z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.77 tff(26749,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26748, 393, 1741, 62, 16949, 175])).
% 4.54/4.77 tff(26750,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[534, 26749])).
% 4.54/4.77 tff(26751,plain,
% 4.54/4.77 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[18442, 26750, 26570, 404, 26580, 175])).
% 4.54/4.77 tff(26752,plain,
% 4.54/4.77 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[119, 26751])).
% 4.54/4.77 tff(26753,plain,
% 4.54/4.77 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[593, 26750, 26540, 26570, 16950])).
% 4.54/4.77 tff(26754,plain,
% 4.54/4.77 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[598, 26753, 61])).
% 4.54/4.77 tff(26755,plain,
% 4.54/4.77 (~(elem!1 = z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[20938, 26754, 62])).
% 4.54/4.77 tff(26756,plain,
% 4.54/4.77 (~(z = elem!1)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[2752, 26755])).
% 4.54/4.77 tff(26757,plain,
% 4.54/4.77 (~r(s(z), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26568, 72, 175, 26540, 1741])).
% 4.54/4.77 tff(26758,plain,
% 4.54/4.77 (b(s(z), s(s(s(z))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[424, 26757])).
% 4.54/4.77 tff(26759,plain,
% 4.54/4.77 (~b(s(z), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1749, 404, 1741, 26540, 26758])).
% 4.54/4.77 tff(26760,plain,
% 4.54/4.77 (r(s(z), z)),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26, 26759])).
% 4.54/4.77 tff(26761,plain,
% 4.54/4.77 (~r(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[552, 26760, 72])).
% 4.54/4.77 tff(26762,plain,
% 4.54/4.77 (b(z, s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[391, 26761])).
% 4.54/4.77 tff(26763,plain,
% 4.54/4.77 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[25652, 3348, 1741, 175, 26762])).
% 4.54/4.77 tff(26764,plain,
% 4.54/4.77 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[689, 26763])).
% 4.54/4.77 tff(26765,plain,
% 4.54/4.77 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[22025, 19114, 26540, 26760, 3348, 26764])).
% 4.54/4.77 tff(26766,plain,
% 4.54/4.77 (s(z) = elem!1),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[1237, 26765])).
% 4.54/4.77 tff(26767,plain,
% 4.54/4.77 (s(s(z)) = s(elem!1)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26766])).
% 4.54/4.77 tff(26768,plain,
% 4.54/4.77 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26767])).
% 4.54/4.77 tff(26769,plain,
% 4.54/4.77 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26768])).
% 4.54/4.77 tff(26770,plain,
% 4.54/4.77 (b(s(s(elem!1)), z)),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[1741, 26769])).
% 4.54/4.77 tff(26771,plain,
% 4.54/4.77 (b(z, s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[26677, 3348, 26540, 26760, 26764, 62, 26762])).
% 4.54/4.77 tff(26772,plain,
% 4.54/4.77 (b(s(z), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(monotonicity,[status(thm)],[26766])).
% 4.54/4.77 tff(26773,plain,
% 4.54/4.77 (~r(s(z), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[18230, 19113, 108, 26771, 26760, 175, 26762])).
% 4.54/4.77 tff(26774,plain,
% 4.54/4.77 (b(s(z), s(s(elem!1)))),
% 4.54/4.77 inference(unit_resolution,[status(thm)],[743, 26773])).
% 4.54/4.77 tff(26775,plain,
% 4.54/4.77 (b(elem!1, s(s(elem!1)))),
% 4.54/4.77 inference(modus_ponens,[status(thm)],[26774, 26772])).
% 4.54/4.77 tff(26776,plain,
% 4.54/4.78 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26766])).
% 4.54/4.78 tff(26777,plain,
% 4.54/4.78 (b(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26104, 26776])).
% 4.54/4.78 tff(26778,plain,
% 4.54/4.78 (elem!1 = s(z)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[752, 26766])).
% 4.54/4.78 tff(26779,plain,
% 4.54/4.78 (~r(z, elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[899, 26778, 393])).
% 4.54/4.78 tff(26780,plain,
% 4.54/4.78 (b(z, elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[353, 26779, 714])).
% 4.54/4.78 tff(26781,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[18008, 338, 26780, 26777, 26775, 26771, 26770])).
% 4.54/4.78 tff(26782,plain,((s(s(elem!1)) = s(s(s(s(z))))) | (~b(s(s(s(z))), z)) | (z = elem!1) | r(z, s(z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26783,plain,
% 4.54/4.78 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26782, 26756, 26752, 393, 1741, 175, 26666, 16950, 62])).
% 4.54/4.78 tff(26784,plain,
% 4.54/4.78 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26783])).
% 4.54/4.78 tff(26785,plain,
% 4.54/4.78 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26784])).
% 4.54/4.78 tff(26786,plain,
% 4.54/4.78 (r(s(z), s(s(elem!1)))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[16950, 26785])).
% 4.54/4.78 tff(26787,plain,
% 4.54/4.78 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[3236, 26783])).
% 4.54/4.78 tff(26788,plain,
% 4.54/4.78 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26783])).
% 4.54/4.78 tff(26789,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26788])).
% 4.54/4.78 tff(26790,plain,
% 4.54/4.78 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26783])).
% 4.54/4.78 tff(26791,plain,
% 4.54/4.78 (s(elem!1) = s(s(s(z)))),
% 4.54/4.78 inference(transitivity,[status(thm)],[182, 26790, 44])).
% 4.54/4.78 tff(26792,plain,
% 4.54/4.78 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26791])).
% 4.54/4.78 tff(26793,plain,
% 4.54/4.78 (elem!1 = s(s(z))),
% 4.54/4.78 inference(transitivity,[status(thm)],[5450, 26792, 52])).
% 4.54/4.78 tff(26794,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26793])).
% 4.54/4.78 tff(26795,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26794])).
% 4.54/4.78 tff(26796,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(transitivity,[status(thm)],[26795, 26789])).
% 4.54/4.78 tff(26797,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[68, 26671])).
% 4.54/4.78 tff(26798,plain,
% 4.54/4.78 (b(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26797, 26796])).
% 4.54/4.78 tff(26799,plain,
% 4.54/4.78 (r(elem!1, s(z)) <=> r(s(s(z)), s(z))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26793])).
% 4.54/4.78 tff(26800,plain,
% 4.54/4.78 (r(s(s(z)), s(z)) <=> r(elem!1, s(z))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26799])).
% 4.54/4.78 tff(26801,plain,
% 4.54/4.78 (~b(s(s(z)), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[484, 26750, 26540, 26570, 26580])).
% 4.54/4.78 tff(26802,plain,
% 4.54/4.78 (r(s(s(z)), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[472, 26801])).
% 4.54/4.78 tff(26803,plain,
% 4.54/4.78 (r(elem!1, s(z))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26802, 26800])).
% 4.54/4.78 tff(26804,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[17366, 26803, 26798, 26678, 26572, 26787, 26755, 26786])).
% 4.54/4.78 tff(26805,plain,(r(z, s(z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(z), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26806,plain,
% 4.54/4.78 (r(z, s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26805, 16949, 175, 62, 1741])).
% 4.54/4.78 tff(26807,plain,
% 4.54/4.78 (~b(z, s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[25652, 539, 1741, 175, 24139])).
% 4.54/4.78 tff(26808,plain,
% 4.54/4.78 (r(z, s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[149, 26807])).
% 4.54/4.78 tff(26809,plain,
% 4.54/4.78 (~r(s(z), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26568, 72, 175, 458, 1741])).
% 4.54/4.78 tff(26810,plain,
% 4.54/4.78 (b(s(z), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[424, 26809])).
% 4.54/4.78 tff(26811,plain,
% 4.54/4.78 (~b(s(s(z)), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26124, 338, 476, 26810, 1741, 539, 175])).
% 4.54/4.78 tff(26812,plain,
% 4.54/4.78 (r(s(s(z)), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[472, 26811])).
% 4.54/4.78 tff(26813,plain,
% 4.54/4.78 (~r(z, s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[2514, 26812, 1731])).
% 4.54/4.78 tff(26814,plain,
% 4.54/4.78 (b(z, s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[563, 26813])).
% 4.54/4.78 tff(26815,plain,
% 4.54/4.78 (~b(s(z), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26089, 338, 476, 26810, 1741, 539, 175])).
% 4.54/4.78 tff(26816,plain,
% 4.54/4.78 (r(s(z), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[455, 26815])).
% 4.54/4.78 tff(26817,plain,
% 4.54/4.78 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[90, 26816, 72])).
% 4.54/4.78 tff(26818,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[68, 26817])).
% 4.54/4.78 tff(26819,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[17860, 26818, 26814, 458, 164, 175, 24139, 26810, 72])).
% 4.54/4.78 tff(26820,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26821,plain,
% 4.54/4.78 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26820, 26808, 539, 175, 72, 1731, 1741, 458])).
% 4.54/4.78 tff(26822,plain,
% 4.54/4.78 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[534, 26821])).
% 4.54/4.78 tff(26823,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[572, 26822, 175, 26808, 24139])).
% 4.54/4.78 tff(26824,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[68, 26823])).
% 4.54/4.78 tff(26825,plain,
% 4.54/4.78 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1457, 26824, 26822])).
% 4.54/4.78 tff(26826,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1011, 26825])).
% 4.54/4.78 tff(26827,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[22337, 338, 1741, 26826, 539, 175, 24139])).
% 4.54/4.78 tff(26828,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26829,plain,
% 4.54/4.78 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26828, 16950, 175, 1741, 26806, 26540])).
% 4.54/4.78 tff(26830,plain,
% 4.54/4.78 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[689, 26829])).
% 4.54/4.78 tff(26831,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[572, 487, 175, 164, 555])).
% 4.54/4.78 tff(26832,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[68, 26831])).
% 4.54/4.78 tff(26833,plain,
% 4.54/4.78 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[18873, 487, 458, 457, 175, 555, 1740, 164])).
% 4.54/4.78 tff(26834,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[119, 26833])).
% 4.54/4.78 tff(26835,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[18222, 26834, 458, 457, 164, 175, 555, 26832])).
% 4.54/4.78 tff(26836,plain,
% 4.54/4.78 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1457, 26832, 487])).
% 4.54/4.78 tff(26837,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1011, 26836, 26835])).
% 4.54/4.78 tff(26838,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26839,plain,
% 4.54/4.78 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26838, 164, 26758, 26540, 175, 24139, 1740])).
% 4.54/4.78 tff(26840,plain,
% 4.54/4.78 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[534, 26839])).
% 4.54/4.78 tff(26841,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[484, 11068, 11070, 458, 457, 476])).
% 4.54/4.78 tff(26842,plain,((~r(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26843,plain,
% 4.54/4.78 (~r(z, s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26842, 26840, 26758, 26540, 1731])).
% 4.54/4.78 tff(26844,plain,
% 4.54/4.78 (b(z, s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[563, 26843])).
% 4.54/4.78 tff(26845,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[17860, 26844, 26540, 164, 175, 24139, 26758, 72])).
% 4.54/4.78 tff(26846,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[68, 26845])).
% 4.54/4.78 tff(26847,plain,
% 4.54/4.78 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[18385, 26846, 26540, 26758, 26840])).
% 4.54/4.78 tff(26848,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[119, 26847])).
% 4.54/4.78 tff(26849,plain,
% 4.54/4.78 (~r(s(z), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[90, 26846, 72])).
% 4.54/4.78 tff(26850,plain,
% 4.54/4.78 (b(s(z), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[455, 26849])).
% 4.54/4.78 tff(26851,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[17975, 26850, 26540, 26758, 26840, 26848])).
% 4.54/4.78 tff(26852,plain,
% 4.54/4.78 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26820, 539, 164, 175, 72, 1731, 1741, 26540])).
% 4.54/4.78 tff(26853,plain,
% 4.54/4.78 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[534, 26852])).
% 4.54/4.78 tff(26854,plain,
% 4.54/4.78 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[18873, 26853, 26540, 26758, 175, 24139, 1740, 164])).
% 4.54/4.78 tff(26855,plain,
% 4.54/4.78 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[2324, 140, 24139])).
% 4.54/4.78 tff(26856,plain,
% 4.54/4.78 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[368, 26855, 62])).
% 4.54/4.78 tff(26857,plain,
% 4.54/4.78 (~r(s(s(elem!1)), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[6732, 26856, 72])).
% 4.54/4.78 tff(26858,plain,
% 4.54/4.78 (b(s(s(elem!1)), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[784, 26857])).
% 4.54/4.78 tff(26859,plain,
% 4.54/4.78 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1237, 16737])).
% 4.54/4.78 tff(26860,plain,
% 4.54/4.78 (b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[6754, 12141, 26859])).
% 4.54/4.78 tff(26861,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[16683, 26858, 458, 72, 1731, 164, 539, 175, 26860])).
% 4.54/4.78 tff(26862,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[68, 26861])).
% 4.54/4.78 tff(26863,plain,
% 4.54/4.78 (~r(s(z), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[90, 26862, 72])).
% 4.54/4.78 tff(26864,plain,
% 4.54/4.78 (b(s(z), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[455, 26863])).
% 4.54/4.78 tff(26865,plain,
% 4.54/4.78 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[6790, 26864, 458, 457, 26860, 26858])).
% 4.54/4.78 tff(26866,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[20897, 26862, 458, 72, 457, 26860, 26858])).
% 4.54/4.78 tff(26867,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[119, 26866])).
% 4.54/4.78 tff(26868,plain,
% 4.54/4.78 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[18873, 26867, 458, 457, 175, 24139, 1740, 164])).
% 4.54/4.78 tff(26869,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[534, 26868, 26865])).
% 4.54/4.78 tff(26870,plain,(b(z, s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26871,plain,
% 4.54/4.78 (b(z, s(s(elem!1)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26870, 539, 26758, 175, 1740, 164, 72, 1731, 26540, 62])).
% 4.54/4.78 tff(26872,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[19066, 26853, 26540, 175, 26758, 164, 1740, 26871, 62])).
% 4.54/4.78 tff(26873,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[119, 26872, 26854])).
% 4.54/4.78 tff(26874,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26875,plain,
% 4.54/4.78 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26874, 164, 175, 1740, 62, 72, 1731, 1741])).
% 4.54/4.78 tff(26876,plain,
% 4.54/4.78 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[689, 26875])).
% 4.54/4.78 tff(26877,plain,
% 4.54/4.78 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[22114, 26850, 26540, 26758, 26876, 26846])).
% 4.54/4.78 tff(26878,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1011, 26877, 26851])).
% 4.54/4.78 tff(26879,plain,((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(s(z), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26880,plain,
% 4.54/4.78 (~r(z, s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26879, 1740, 175, 1731, 72, 62, 1741])).
% 4.54/4.78 tff(26881,plain,
% 4.54/4.78 (b(z, s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[149, 26880])).
% 4.54/4.78 tff(26882,plain,
% 4.54/4.78 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[25652, 26881, 1741, 175, 24139])).
% 4.54/4.78 tff(26883,plain,
% 4.54/4.78 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[689, 26882])).
% 4.54/4.78 tff(26884,plain,
% 4.54/4.78 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26503, 26881, 24139, 175, 1741])).
% 4.54/4.78 tff(26885,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1011, 26884])).
% 4.54/4.78 tff(26886,plain,
% 4.54/4.78 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[21150, 26885, 26540, 26758, 1731, 26881, 26883])).
% 4.54/4.78 tff(26887,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[68, 26886])).
% 4.54/4.78 tff(26888,plain,
% 4.54/4.78 (~r(s(s(elem!1)), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[6732, 26673, 72])).
% 4.54/4.78 tff(26889,plain,
% 4.54/4.78 (b(s(s(elem!1)), s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[784, 26888])).
% 4.54/4.78 tff(26890,plain,
% 4.54/4.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.78 inference(rewrite,[status(thm)],[])).
% 4.54/4.78 tff(26891,plain,
% 4.54/4.78 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.78 inference(rewrite,[status(thm)],[])).
% 4.54/4.78 tff(26892,plain,
% 4.54/4.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z)))))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26891])).
% 4.54/4.78 tff(26893,plain,
% 4.54/4.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.78 inference(transitivity,[status(thm)],[26892, 26890])).
% 4.54/4.78 tff(26894,plain,
% 4.54/4.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.78 inference(quant_inst,[status(thm)],[])).
% 4.54/4.78 tff(26895,plain,
% 4.54/4.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26894, 26893])).
% 4.54/4.78 tff(26896,plain,
% 4.54/4.78 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26895, 338, 457, 1740, 3348, 458, 26889])).
% 4.54/4.78 tff(26897,plain,
% 4.54/4.78 (s(s(elem!1)) = s(s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[6881, 26896, 26675])).
% 4.54/4.78 tff(26898,plain,
% 4.54/4.78 (b(z, s(s(elem!1))) <=> b(z, s(s(s(z))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26897])).
% 4.54/4.78 tff(26899,plain,
% 4.54/4.78 (b(z, s(s(s(z)))) <=> b(z, s(s(elem!1)))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26898])).
% 4.54/4.78 tff(26900,plain,
% 4.54/4.78 (b(z, s(s(elem!1)))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[3348, 26899])).
% 4.54/4.78 tff(26901,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[140, 26900])).
% 4.54/4.78 tff(26902,plain,(b(z, s(s(elem!1))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26903,plain,
% 4.54/4.78 (b(z, s(s(elem!1)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26902, 26881, 26758, 1740, 26540, 26883, 72, 62, 24139])).
% 4.54/4.78 tff(26904,plain,
% 4.54/4.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.78 inference(rewrite,[status(thm)],[])).
% 4.54/4.78 tff(26905,plain,
% 4.54/4.78 (((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z)))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.78 inference(rewrite,[status(thm)],[])).
% 4.54/4.78 tff(26906,plain,
% 4.54/4.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26905])).
% 4.54/4.78 tff(26907,plain,
% 4.54/4.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.78 inference(transitivity,[status(thm)],[26906, 26904])).
% 4.54/4.78 tff(26908,plain,
% 4.54/4.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.54/4.78 inference(quant_inst,[status(thm)],[])).
% 4.54/4.78 tff(26909,plain,
% 4.54/4.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26908, 26907])).
% 4.54/4.78 tff(26910,plain,
% 4.54/4.78 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26909, 338, 8722, 16542, 1740, 458, 15162])).
% 4.54/4.78 tff(26911,plain,
% 4.54/4.78 (s(s(elem!1)) = s(s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[6881, 26910, 21395])).
% 4.54/4.78 tff(26912,plain,
% 4.54/4.78 (b(s(s(elem!1)), z) <=> b(s(s(s(z))), z)),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26911])).
% 4.54/4.78 tff(26913,plain,
% 4.54/4.78 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26912])).
% 4.54/4.78 tff(26914,plain,
% 4.54/4.78 (b(s(s(elem!1)), z)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[1741, 26913])).
% 4.54/4.78 tff(26915,plain,
% 4.54/4.78 (~b(s(s(elem!1)), z)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[9063, 16542, 1740, 8722, 15162])).
% 4.54/4.78 tff(26916,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26915, 26914])).
% 4.54/4.78 tff(26917,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26918,plain,
% 4.54/4.78 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26917, 26903, 1741, 1740, 26540, 72, 26883])).
% 4.54/4.78 tff(26919,plain,
% 4.54/4.78 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[368, 26918, 62])).
% 4.54/4.78 tff(26920,plain,
% 4.54/4.78 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26919])).
% 4.54/4.78 tff(26921,plain,
% 4.54/4.78 (s(elem!1) = s(s(s(z)))),
% 4.54/4.78 inference(transitivity,[status(thm)],[182, 26920, 44])).
% 4.54/4.78 tff(26922,plain,
% 4.54/4.78 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26921])).
% 4.54/4.78 tff(26923,plain,
% 4.54/4.78 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26922])).
% 4.54/4.78 tff(26924,plain,
% 4.54/4.78 (s(s(z)) = elem!1),
% 4.54/4.78 inference(transitivity,[status(thm)],[53, 26923, 199])).
% 4.54/4.78 tff(26925,plain,
% 4.54/4.78 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26924])).
% 4.54/4.78 tff(26926,plain,
% 4.54/4.78 (r(elem!1, s(s(s(z)))) <=> r(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26925])).
% 4.54/4.78 tff(26927,plain,
% 4.54/4.78 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(s(z))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26921])).
% 4.54/4.78 tff(26928,plain,
% 4.54/4.78 (r(elem!1, s(elem!1)) <=> r(s(s(z)), s(s(s(z))))),
% 4.54/4.78 inference(transitivity,[status(thm)],[26927, 26926])).
% 4.54/4.78 tff(26929,plain,
% 4.54/4.78 ((~r(elem!1, s(elem!1))) <=> (~r(s(s(z)), s(s(s(z)))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26928])).
% 4.54/4.78 tff(26930,plain,
% 4.54/4.78 (elem!1 = s(s(z))),
% 4.54/4.78 inference(transitivity,[status(thm)],[5450, 26922, 52])).
% 4.54/4.78 tff(26931,plain,
% 4.54/4.78 ((z = elem!1) <=> (z = s(s(z)))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26930])).
% 4.54/4.78 tff(26932,plain,
% 4.54/4.78 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.54/4.78 inference(transitivity,[status(thm)],[26931, 3889])).
% 4.54/4.78 tff(26933,plain,
% 4.54/4.78 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26932])).
% 4.54/4.78 tff(26934,plain,
% 4.54/4.78 ((~(s(s(z)) = z)) <=> (~(z = elem!1))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26933])).
% 4.54/4.78 tff(26935,plain,
% 4.54/4.78 (~(z = elem!1)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[56, 26934])).
% 4.54/4.78 tff(26936,plain,
% 4.54/4.78 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[11454, 26919])).
% 4.54/4.78 tff(26937,plain,
% 4.54/4.78 (s(s(s(z))) = s(elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[4794, 26936])).
% 4.54/4.78 tff(26938,plain,
% 4.54/4.78 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[10460, 26937])).
% 4.54/4.78 tff(26939,plain,
% 4.54/4.78 ((s(z) = elem!1) <=> (s(z) = s(s(z)))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26930])).
% 4.54/4.78 tff(26940,plain,
% 4.54/4.78 ((s(z) = s(s(z))) <=> (s(z) = elem!1)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26939])).
% 4.54/4.78 tff(26941,plain,
% 4.54/4.78 ((~(s(z) = s(s(z)))) <=> (~(s(z) = elem!1))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26940])).
% 4.54/4.78 tff(26942,plain,
% 4.54/4.78 (~(s(z) = elem!1)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[450, 26941])).
% 4.54/4.78 tff(26943,plain,
% 4.54/4.78 ((s(z) = s(s(z))) <=> (elem!1 = s(z))),
% 4.54/4.78 inference(transitivity,[status(thm)],[26940, 748])).
% 4.54/4.78 tff(26944,plain,
% 4.54/4.78 ((~(s(z) = s(s(z)))) <=> (~(elem!1 = s(z)))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26943])).
% 4.54/4.78 tff(26945,plain,
% 4.54/4.78 (~(elem!1 = s(z))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[450, 26944])).
% 4.54/4.78 tff(26946,plain,
% 4.54/4.78 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26919])).
% 4.54/4.78 tff(26947,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26946])).
% 4.54/4.78 tff(26948,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26930])).
% 4.54/4.78 tff(26949,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26948])).
% 4.54/4.78 tff(26950,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(transitivity,[status(thm)],[26949, 26947])).
% 4.54/4.78 tff(26951,plain,
% 4.54/4.78 ((~r(s(s(s(s(z)))), s(s(z)))) <=> (~r(s(s(elem!1)), elem!1))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26950])).
% 4.54/4.78 tff(26952,plain,
% 4.54/4.78 (~r(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26886, 26951])).
% 4.54/4.78 tff(26953,plain,
% 4.54/4.78 (s(elem!1) = s(s(s(z)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[3985, 26937])).
% 4.54/4.78 tff(26954,plain,
% 4.54/4.78 (~(s(s(s(elem!1))) = elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[3655, 26953])).
% 4.54/4.78 tff(26955,plain,
% 4.54/4.78 (b(z, s(elem!1)) <=> b(z, s(s(s(z))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26921])).
% 4.54/4.78 tff(26956,plain,
% 4.54/4.78 (b(z, s(s(s(z)))) <=> b(z, s(elem!1))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26955])).
% 4.54/4.78 tff(26957,plain,
% 4.54/4.78 (b(z, s(elem!1))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26881, 26956])).
% 4.54/4.78 tff(26958,plain,
% 4.54/4.78 (b(s(elem!1), z) <=> b(s(s(s(z))), z)),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26921])).
% 4.54/4.78 tff(26959,plain,
% 4.54/4.78 (b(s(s(s(z))), z) <=> b(s(elem!1), z)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26958])).
% 4.54/4.78 tff(26960,plain,
% 4.54/4.78 (b(s(elem!1), z)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[1741, 26959])).
% 4.54/4.78 tff(26961,plain,
% 4.54/4.78 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26919])).
% 4.54/4.78 tff(26962,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(elem!1)), s(elem!1))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26961])).
% 4.54/4.78 tff(26963,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26921])).
% 4.54/4.78 tff(26964,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26963])).
% 4.54/4.78 tff(26965,plain,
% 4.54/4.78 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(elem!1)), s(elem!1))),
% 4.54/4.78 inference(transitivity,[status(thm)],[26964, 26962])).
% 4.54/4.78 tff(26966,plain,
% 4.54/4.78 (r(s(s(elem!1)), s(elem!1))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26885, 26965])).
% 4.54/4.78 tff(26967,plain,
% 4.54/4.78 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[3236, 26919])).
% 4.54/4.78 tff(26968,plain,
% 4.54/4.78 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26919])).
% 4.54/4.78 tff(26969,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26968])).
% 4.54/4.78 tff(26970,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26930])).
% 4.54/4.78 tff(26971,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.54/4.78 inference(symmetry,[status(thm)],[26970])).
% 4.54/4.78 tff(26972,plain,
% 4.54/4.78 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(transitivity,[status(thm)],[26971, 26969])).
% 4.54/4.78 tff(26973,plain,
% 4.54/4.78 (b(s(s(elem!1)), elem!1)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[26887, 26972])).
% 4.54/4.78 tff(26974,plain,
% 4.54/4.78 ((s(s(z)) = z) <=> (elem!1 = z)),
% 4.54/4.78 inference(transitivity,[status(thm)],[26933, 2749])).
% 4.54/4.78 tff(26975,plain,
% 4.54/4.78 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26974])).
% 4.54/4.78 tff(26976,plain,
% 4.54/4.78 (~(elem!1 = z)),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[56, 26975])).
% 4.54/4.78 tff(26977,plain,
% 4.54/4.78 (b(s(s(elem!1)), z)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26172, 26919, 175])).
% 4.54/4.78 tff(26978,plain,
% 4.54/4.78 (~(s(s(elem!1)) = s(elem!1))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[5466, 26937])).
% 4.54/4.78 tff(26979,plain,
% 4.54/4.78 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1280, 26978])).
% 4.54/4.78 tff(26980,plain,
% 4.54/4.78 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.54/4.78 inference(monotonicity,[status(thm)],[26919])).
% 4.54/4.78 tff(26981,plain,
% 4.54/4.78 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.54/4.78 inference(symmetry,[status(thm)],[26980])).
% 4.54/4.78 tff(26982,plain,
% 4.54/4.78 (r(s(z), s(s(elem!1)))),
% 4.54/4.78 inference(modus_ponens,[status(thm)],[72, 26981])).
% 4.54/4.78 tff(26983,plain,
% 4.54/4.78 (~b(z, elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[18010, 17369, 8722, 878, 763])).
% 4.54/4.78 tff(26984,plain,
% 4.54/4.78 (r(z, elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[353, 26983, 714])).
% 4.54/4.78 tff(26985,plain,
% 4.54/4.78 (~b(elem!1, z)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[17364, 17369, 8722, 878, 763])).
% 4.54/4.78 tff(26986,plain,
% 4.54/4.78 (r(elem!1, z)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[846, 26985, 719])).
% 4.54/4.78 tff(26987,plain,
% 4.54/4.78 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[11736, 17369, 763, 235, 1327, 1925, 264])).
% 4.54/4.78 tff(26988,plain,
% 4.54/4.78 (b(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1971, 26987, 222])).
% 4.54/4.78 tff(26989,plain,
% 4.54/4.78 (~r(s(s(s(elem!1))), z)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[2167, 1950, 802])).
% 4.54/4.78 tff(26990,plain,
% 4.54/4.78 (b(s(s(s(elem!1))), z)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1387, 26989])).
% 4.54/4.78 tff(26991,plain,
% 4.54/4.78 ($false),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1804, 26990, 18665, 1796, 1597, 1500])).
% 4.54/4.78 tff(26992,plain,((~r(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~r(elem!1, z)) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.78 tff(26993,plain,
% 4.54/4.78 (~r(elem!1, s(s(s(elem!1))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[26992, 26988, 1597, 1796, 26986, 26984])).
% 4.54/4.78 tff(26994,plain,
% 4.54/4.78 (b(elem!1, s(s(s(elem!1))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[1946, 26993, 1925])).
% 4.54/4.78 tff(26995,plain,
% 4.54/4.78 (~r(s(z), elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[3145, 26984, 1731])).
% 4.54/4.78 tff(26996,plain,
% 4.54/4.78 (b(s(z), elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[701, 26995, 691])).
% 4.54/4.78 tff(26997,plain,
% 4.54/4.78 (~r(elem!1, s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[8266, 26984, 1731])).
% 4.54/4.78 tff(26998,plain,
% 4.54/4.78 (b(elem!1, s(z))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[819, 26997, 720])).
% 4.54/4.78 tff(26999,plain,
% 4.54/4.78 (b(s(s(s(elem!1))), elem!1)),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[2162, 17048, 1271])).
% 4.54/4.78 tff(27000,plain,
% 4.54/4.78 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[23227, 2636, 6387, 1929, 763])).
% 4.54/4.78 tff(27001,plain,
% 4.54/4.78 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.78 inference(unit_resolution,[status(thm)],[2619, 27000, 7060])).
% 4.54/4.79 tff(27002,plain,
% 4.54/4.79 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2629, 27001, 264])).
% 4.54/4.79 tff(27003,plain,
% 4.54/4.79 (b(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1515, 27002, 210])).
% 4.54/4.79 tff(27004,plain,
% 4.54/4.79 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[6302, 27001, 264])).
% 4.54/4.79 tff(27005,plain,
% 4.54/4.79 (b(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1971, 27004, 218])).
% 4.54/4.79 tff(27006,plain,
% 4.54/4.79 (~b(elem!1, s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[23319, 2636, 1929, 1564, 1500])).
% 4.54/4.79 tff(27007,plain,
% 4.54/4.79 (r(elem!1, s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[252, 27006, 232])).
% 4.54/4.79 tff(27008,plain,
% 4.54/4.79 (~r(elem!1, s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2715, 27007, 264])).
% 4.54/4.79 tff(27009,plain,
% 4.54/4.79 (b(elem!1, s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[321, 27008, 137])).
% 4.54/4.79 tff(27010,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2175, 338, 763, 1929, 2636, 27009, 6387])).
% 4.54/4.79 tff(27011,plain,((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27012,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27011, 27005, 27003, 1929, 6387, 137, 264, 763, 2636])).
% 4.54/4.79 tff(27013,plain,((~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27014,plain,
% 4.54/4.79 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27013, 26999, 763, 137, 264, 1929])).
% 4.54/4.79 tff(27015,plain,
% 4.54/4.79 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1292, 27014, 1327])).
% 4.54/4.79 tff(27016,plain,
% 4.54/4.79 (~r(s(s(s(elem!1))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[4573, 7062, 1731])).
% 4.54/4.79 tff(27017,plain,
% 4.54/4.79 (b(s(s(s(elem!1))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1990, 27016])).
% 4.54/4.79 tff(27018,plain,
% 4.54/4.79 (~b(s(z), s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[17387, 27017, 831, 706, 1929])).
% 4.54/4.79 tff(27019,plain,
% 4.54/4.79 (r(s(z), s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1870, 27018])).
% 4.54/4.79 tff(27020,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[4223, 27019, 27015, 721])).
% 4.54/4.79 tff(27021,plain,(b(s(s(s(elem!1))), z) | (~r(s(z), s(s(elem!1)))) | (s(s(s(elem!1))) = s(s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), elem!1)) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (s(s(s(elem!1))) = elem!1) | (~r(z, s(z))) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | r(s(s(elem!1)), elem!1) | r(elem!1, s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27022,plain,
% 4.54/4.79 (b(s(s(s(elem!1))), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27021, 26998, 1327, 721, 26996, 26994, 763, 137, 264, 1271, 1731, 8722, 719, 323, 17368])).
% 4.54/4.79 tff(27023,plain,
% 4.54/4.79 (~b(z, s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1804, 27022, 1796, 1597, 26988])).
% 4.54/4.79 tff(27024,plain,
% 4.54/4.79 (r(z, s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1373, 27023])).
% 4.54/4.79 tff(27025,plain,
% 4.54/4.79 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, elem!1)),
% 4.54/4.79 inference(monotonicity,[status(thm)],[2143])).
% 4.54/4.79 tff(27026,plain,
% 4.54/4.79 (b(elem!1, elem!1) <=> b(elem!1, s(s(s(elem!1))))),
% 4.54/4.79 inference(symmetry,[status(thm)],[27025])).
% 4.54/4.79 tff(27027,plain,
% 4.54/4.79 ((~b(elem!1, elem!1)) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27026])).
% 4.54/4.79 tff(27028,plain,
% 4.54/4.79 (~b(elem!1, s(s(s(elem!1))))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[7551, 27027])).
% 4.54/4.79 tff(27029,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1929, 27028])).
% 4.54/4.79 tff(27030,plain,((~(s(s(s(elem!1))) = elem!1)) | (~b(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27031,plain,
% 4.54/4.79 (~(s(s(s(elem!1))) = elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27030, 1929])).
% 4.54/4.79 tff(27032,plain,
% 4.54/4.79 (~b(s(s(s(elem!1))), elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27013, 763, 6387, 137, 264, 1929])).
% 4.54/4.79 tff(27033,plain,
% 4.54/4.79 (r(s(s(s(elem!1))), elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2162, 27032, 27031])).
% 4.54/4.79 tff(27034,plain,
% 4.54/4.79 (~r(z, elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[6359, 27033, 1353])).
% 4.54/4.79 tff(27035,plain,
% 4.54/4.79 (b(z, elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[353, 27034, 4711])).
% 4.54/4.79 tff(27036,plain,
% 4.54/4.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 4.54/4.79 inference(rewrite,[status(thm)],[])).
% 4.54/4.79 tff(27037,plain,
% 4.54/4.79 (((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 4.54/4.79 inference(rewrite,[status(thm)],[])).
% 4.54/4.79 tff(27038,plain,
% 4.54/4.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27037])).
% 4.54/4.79 tff(27039,plain,
% 4.54/4.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 4.54/4.79 inference(transitivity,[status(thm)],[27038, 27036])).
% 4.54/4.79 tff(27040,plain,
% 4.54/4.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))),
% 4.54/4.79 inference(quant_inst,[status(thm)],[])).
% 4.54/4.79 tff(27041,plain,
% 4.54/4.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27040, 27039])).
% 4.54/4.79 tff(27042,plain,
% 4.54/4.79 (~b(s(s(s(elem!1))), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27041, 338, 27035, 763, 6387, 8722, 878])).
% 4.54/4.79 tff(27043,plain,
% 4.54/4.79 (r(s(s(s(elem!1))), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1387, 27042])).
% 4.54/4.79 tff(27044,plain,
% 4.54/4.79 (~b(elem!1, z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[18067, 27035, 763, 8722, 878])).
% 4.54/4.79 tff(27045,plain,
% 4.54/4.79 (r(elem!1, z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[846, 27044, 719])).
% 4.54/4.79 tff(27046,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[8759, 82, 27045, 27043, 27033])).
% 4.54/4.79 tff(27047,plain,((~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (elem!1 = z) | (~r(z, s(s(s(elem!1))))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27048,plain,
% 4.54/4.79 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27047, 27024, 8722, 878, 719, 763, 137, 264, 26994])).
% 4.54/4.79 tff(27049,plain,
% 4.54/4.79 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1292, 27048, 1327])).
% 4.54/4.79 tff(27050,plain,
% 4.54/4.79 (~r(s(s(s(elem!1))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[4215, 27049, 721])).
% 4.54/4.79 tff(27051,plain,
% 4.54/4.79 (b(s(s(s(elem!1))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1990, 27050])).
% 4.54/4.79 tff(27052,plain,
% 4.54/4.79 (~r(s(z), s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[4223, 27049, 721])).
% 4.54/4.79 tff(27053,plain,
% 4.54/4.79 (b(s(z), s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1870, 27052])).
% 4.54/4.79 tff(27054,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[17387, 27053, 27051, 26998, 26996, 26994])).
% 4.54/4.79 tff(27055,plain,((~r(elem!1, s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (s(s(s(elem!1))) = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (elem!1 = z) | (~b(s(s(elem!1)), elem!1)) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (s(s(s(elem!1))) = elem!1) | (~r(z, s(z))) | r(s(s(elem!1)), elem!1) | (elem!1 = s(z)) | (s(z) = elem!1) | (s(s(s(elem!1))) = s(elem!1)) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27056,plain,
% 4.54/4.79 (~r(elem!1, s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27055, 26982, 26979, 26903, 26977, 26976, 26973, 26967, 26966, 26960, 26957, 26954, 1731, 26952, 26945, 26942, 26938, 26935])).
% 4.54/4.79 tff(27057,plain,
% 4.54/4.79 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27056, 26929])).
% 4.54/4.79 tff(27058,plain,
% 4.54/4.79 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[534, 27057])).
% 4.54/4.79 tff(27059,plain,
% 4.54/4.79 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[593, 27058, 26540, 26758, 72])).
% 4.54/4.79 tff(27060,plain,
% 4.54/4.79 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[598, 27059, 61])).
% 4.54/4.79 tff(27061,plain,
% 4.54/4.79 (~r(z, s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26842, 27058, 26758, 26540, 1731])).
% 4.54/4.79 tff(27062,plain,
% 4.54/4.79 (b(z, s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[563, 27061])).
% 4.54/4.79 tff(27063,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[982, 27062, 27060, 175, 24139, 26887])).
% 4.54/4.79 tff(27064,plain,((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27065,plain,
% 4.54/4.79 (~b(s(z), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27064, 26806, 175, 16950, 1741, 62])).
% 4.54/4.79 tff(27066,plain,
% 4.54/4.79 (r(s(z), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26, 27065])).
% 4.54/4.79 tff(27067,plain,
% 4.54/4.79 (~r(s(z), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26071, 487, 175, 72, 405, 164])).
% 4.54/4.79 tff(27068,plain,
% 4.54/4.79 (b(s(z), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[455, 27067])).
% 4.54/4.79 tff(27069,plain,
% 4.54/4.79 (~r(s(s(s(z))), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2472, 26832, 911])).
% 4.54/4.79 tff(27070,plain,
% 4.54/4.79 (b(s(s(s(z))), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[639, 27069])).
% 4.54/4.79 tff(27071,plain,
% 4.54/4.79 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1011, 26836])).
% 4.54/4.79 tff(27072,plain,
% 4.54/4.79 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[18222, 27071, 458, 457, 164, 175, 555, 26832])).
% 4.54/4.79 tff(27073,plain,
% 4.54/4.79 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[119, 27072])).
% 4.54/4.79 tff(27074,plain,
% 4.54/4.79 (~r(s(s(z)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[464, 27073, 26832])).
% 4.54/4.79 tff(27075,plain,
% 4.54/4.79 (b(s(s(z)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[472, 27074])).
% 4.54/4.79 tff(27076,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2480, 338, 457, 27075, 458, 27070, 27068])).
% 4.54/4.79 tff(27077,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27078,plain,
% 4.54/4.79 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27077, 164, 458, 457, 175, 24139, 911, 72, 405])).
% 4.54/4.79 tff(27079,plain,
% 4.54/4.79 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[534, 27078])).
% 4.54/4.79 tff(27080,plain,
% 4.54/4.79 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[18283, 27079, 458, 1731, 405, 175, 164])).
% 4.54/4.79 tff(27081,plain,
% 4.54/4.79 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[68, 27080])).
% 4.54/4.79 tff(27082,plain,
% 4.54/4.79 (~r(s(z), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[90, 27081, 72])).
% 4.54/4.79 tff(27083,plain,
% 4.54/4.79 (b(s(z), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[455, 27082])).
% 4.54/4.79 tff(27084,plain,
% 4.54/4.79 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[22114, 27083, 458, 457, 911, 27081])).
% 4.54/4.79 tff(27085,plain,
% 4.54/4.79 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[18385, 27081, 458, 457, 27079])).
% 4.54/4.79 tff(27086,plain,
% 4.54/4.79 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[119, 27085])).
% 4.54/4.79 tff(27087,plain,
% 4.54/4.79 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[17975, 27083, 458, 457, 27079, 27086])).
% 4.54/4.79 tff(27088,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1011, 27087, 27084])).
% 4.54/4.79 tff(27089,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27090,plain,
% 4.54/4.79 (~r(z, s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27089, 26570, 26540, 26830, 16950, 26806, 27066, 175])).
% 4.54/4.79 tff(27091,plain,
% 4.54/4.79 (b(z, s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[149, 27090])).
% 4.54/4.79 tff(27092,plain,
% 4.54/4.79 (~r(z, s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[11465, 26806, 16950])).
% 4.54/4.79 tff(27093,plain,
% 4.54/4.79 (b(z, s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[391, 27092])).
% 4.54/4.79 tff(27094,plain,
% 4.54/4.79 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26503, 27091, 27093, 175, 1741])).
% 4.54/4.79 tff(27095,plain,
% 4.54/4.79 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1011, 27094])).
% 4.54/4.79 tff(27096,plain,
% 4.54/4.79 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[21150, 27095, 26540, 26570, 26806, 27091, 26830])).
% 4.54/4.79 tff(27097,plain,
% 4.54/4.79 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[68, 27096])).
% 4.54/4.79 tff(27098,plain,
% 4.54/4.79 (~r(s(z), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[21492, 27097, 27093, 175, 27066])).
% 4.54/4.79 tff(27099,plain,
% 4.54/4.79 (~r(z, s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26842, 476, 457, 458, 1731])).
% 4.54/4.79 tff(27100,plain,
% 4.54/4.79 (b(z, s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[563, 27099])).
% 4.54/4.79 tff(27101,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[982, 27100, 26615, 175, 24139, 540])).
% 4.54/4.79 tff(27102,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27103,plain,
% 4.54/4.79 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27102, 27097, 175, 26570, 26540, 26806, 16950])).
% 4.54/4.79 tff(27104,plain,
% 4.54/4.79 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[534, 27103])).
% 4.54/4.79 tff(27105,plain,
% 4.54/4.79 (~r(s(z), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[4588, 162, 1731])).
% 4.54/4.79 tff(27106,plain,
% 4.54/4.79 (b(s(z), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[743, 27105])).
% 4.54/4.79 tff(27107,plain,
% 4.54/4.79 (~b(s(z), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27064, 1731, 175, 72, 1741, 62])).
% 4.54/4.79 tff(27108,plain,
% 4.54/4.79 (r(s(z), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26, 27107])).
% 4.54/4.79 tff(27109,plain,
% 4.54/4.79 (~r(s(s(elem!1)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26592, 140, 62, 72, 27108])).
% 4.54/4.79 tff(27110,plain,
% 4.54/4.79 (b(s(s(elem!1)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[784, 27109])).
% 4.54/4.79 tff(27111,plain,
% 4.54/4.79 (~b(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26820, 26808, 539, 175, 72, 1731, 1741, 26540])).
% 4.54/4.79 tff(27112,plain,
% 4.54/4.79 (r(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[534, 27111])).
% 4.54/4.79 tff(27113,plain,
% 4.54/4.79 (~r(s(z), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26071, 27112, 175, 72, 27108, 26808])).
% 4.54/4.79 tff(27114,plain,
% 4.54/4.79 (b(s(z), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[455, 27113])).
% 4.54/4.79 tff(27115,plain,
% 4.54/4.79 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1207, 26859])).
% 4.54/4.79 tff(27116,plain,
% 4.54/4.79 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[173, 26808, 165])).
% 4.54/4.79 tff(27117,plain,
% 4.54/4.79 (b(s(s(s(z))), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[6754, 27116, 26859])).
% 4.54/4.79 tff(27118,plain,
% 4.54/4.79 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[6876, 27117, 26540, 26758, 10215])).
% 4.54/4.79 tff(27119,plain,
% 4.54/4.79 (r(s(s(elem!1)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[6881, 27118, 27115])).
% 4.54/4.79 tff(27120,plain,
% 4.54/4.79 (~r(s(s(elem!1)), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[17012, 27119, 27112])).
% 4.54/4.79 tff(27121,plain,
% 4.54/4.79 (~(z = elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[11899, 27119, 26808, 165])).
% 4.54/4.79 tff(27122,plain,
% 4.54/4.79 (~(s(elem!1) = s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1912, 27121])).
% 4.54/4.79 tff(27123,plain,
% 4.54/4.79 (~(s(s(elem!1)) = s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[10916, 27122])).
% 4.54/4.79 tff(27124,plain,
% 4.54/4.79 (b(s(s(elem!1)), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[22190, 27123, 27120])).
% 4.54/4.79 tff(27125,plain,
% 4.54/4.79 (~r(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[572, 540, 175, 17843, 164])).
% 4.54/4.79 tff(27126,plain,
% 4.54/4.79 (b(s(s(z)), s(s(s(z))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[534, 27125])).
% 4.54/4.79 tff(27127,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[6790, 27126, 18277, 458, 544, 3254, 764])).
% 4.54/4.79 tff(27128,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27129,plain,
% 4.54/4.79 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27128, 27117, 26540, 27108, 175, 26808, 764, 1731])).
% 4.54/4.79 tff(27130,plain,
% 4.54/4.79 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[68, 27129])).
% 4.54/4.79 tff(27131,plain,
% 4.54/4.79 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[20897, 27130, 26540, 72, 26758, 764, 27117])).
% 4.54/4.79 tff(27132,plain,
% 4.54/4.79 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[119, 27131])).
% 4.54/4.79 tff(27133,plain,
% 4.54/4.79 (~r(s(s(z)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[464, 27132, 27130])).
% 4.54/4.79 tff(27134,plain,
% 4.54/4.79 (b(s(s(z)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[472, 27133])).
% 4.54/4.79 tff(27135,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[11079, 27134, 27124, 10215, 27114, 764])).
% 4.54/4.79 tff(27136,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~b(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27137,plain,
% 4.54/4.79 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27136, 27110, 72, 162, 175, 1731, 1741, 62])).
% 4.54/4.79 tff(27138,plain,
% 4.54/4.79 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[689, 27137])).
% 4.54/4.79 tff(27139,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[16983, 1208, 871, 458, 370, 911, 457, 747])).
% 4.54/4.79 tff(27140,plain,((s(s(s(z))) = s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27141,plain,
% 4.54/4.79 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27140, 26856, 26540, 27138, 26758, 27106])).
% 4.54/4.79 tff(27142,plain,
% 4.54/4.79 (s(z) = elem!1),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1237, 27141])).
% 4.54/4.79 tff(27143,plain,
% 4.54/4.79 (r(z, elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1733, 27142, 1731])).
% 4.54/4.79 tff(27144,plain,
% 4.54/4.79 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1428, 27141])).
% 4.54/4.79 tff(27145,plain,
% 4.54/4.79 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1418, 27144])).
% 4.54/4.79 tff(27146,plain,
% 4.54/4.79 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[196, 27145])).
% 4.54/4.79 tff(27147,plain,
% 4.54/4.79 (~r(s(s(elem!1)), elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[262, 27143, 162])).
% 4.54/4.79 tff(27148,plain,
% 4.54/4.79 (b(s(s(elem!1)), elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[327, 27147, 27146])).
% 4.54/4.79 tff(27149,plain,
% 4.54/4.79 (~r(elem!1, s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[287, 27143, 162])).
% 4.54/4.79 tff(27150,plain,
% 4.54/4.79 (b(elem!1, s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[321, 27149, 27145])).
% 4.54/4.79 tff(27151,plain,
% 4.54/4.79 (~b(s(z), elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[772, 27150, 27106, 27110, 27148])).
% 4.54/4.79 tff(27152,plain,
% 4.54/4.79 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27141])).
% 4.54/4.79 tff(27153,plain,
% 4.54/4.79 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27152])).
% 4.54/4.79 tff(27154,plain,
% 4.54/4.79 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27153])).
% 4.54/4.79 tff(27155,plain,
% 4.54/4.79 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[62, 27154])).
% 4.54/4.79 tff(27156,plain,
% 4.54/4.79 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[6637, 27155, 140, 27151])).
% 4.54/4.79 tff(27157,plain,
% 4.54/4.79 (r(elem!1, z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[867, 27142, 27108])).
% 4.54/4.79 tff(27158,plain,
% 4.54/4.79 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27152])).
% 4.54/4.79 tff(27159,plain,
% 4.54/4.79 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27142])).
% 4.54/4.79 tff(27160,plain,
% 4.54/4.79 (r(elem!1, s(s(s(s(z)))))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[72, 27159])).
% 4.54/4.79 tff(27161,plain,
% 4.54/4.79 (r(elem!1, s(s(s(elem!1))))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27160, 27158])).
% 4.54/4.79 tff(27162,plain,
% 4.54/4.79 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27152])).
% 4.54/4.79 tff(27163,plain,
% 4.54/4.79 (b(s(s(s(elem!1))), z)),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[175, 27162])).
% 4.54/4.79 tff(27164,plain,
% 4.54/4.79 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1412, 27142])).
% 4.54/4.79 tff(27165,plain,
% 4.54/4.79 (b(z, s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2141, 27164, 24139])).
% 4.54/4.79 tff(27166,plain,
% 4.54/4.79 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27152])).
% 4.54/4.79 tff(27167,plain,
% 4.54/4.79 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[26856, 27166])).
% 4.54/4.79 tff(27168,plain,
% 4.54/4.79 (~b(s(s(elem!1)), s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[21088, 27167, 27165, 27143, 27163, 27161, 27149, 27145, 27147, 27157])).
% 4.54/4.79 tff(27169,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[16059, 27168, 27156, 140, 27145, 27143])).
% 4.54/4.79 tff(27170,plain,(b(z, s(s(elem!1))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27171,plain,
% 4.54/4.79 (b(z, s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27170, 16950, 175, 62, 26806, 1741])).
% 4.54/4.79 tff(27172,plain,
% 4.54/4.79 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[20909, 82, 27104, 27095])).
% 4.54/4.79 tff(27173,plain,
% 4.54/4.79 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[598, 27172, 61])).
% 4.54/4.79 tff(27174,plain,
% 4.54/4.79 (~(elem!1 = z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[20938, 27173, 62])).
% 4.54/4.79 tff(27175,plain,
% 4.54/4.79 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[26726, 27174, 27066, 27171, 27096, 27104, 27098, 1741, 27091, 16949, 175])).
% 4.54/4.79 tff(27176,plain,
% 4.54/4.79 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[368, 27175, 62])).
% 4.54/4.79 tff(27177,plain,
% 4.54/4.79 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[22025, 27176, 26540, 27066, 27091, 26830])).
% 4.54/4.79 tff(27178,plain,
% 4.54/4.79 (s(z) = elem!1),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1237, 27177])).
% 4.54/4.79 tff(27179,plain,
% 4.54/4.79 (b(s(z), s(s(s(s(elem!1))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27178])).
% 4.54/4.79 tff(27180,plain,
% 4.54/4.79 (b(elem!1, s(s(s(s(elem!1))))) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.54/4.79 inference(symmetry,[status(thm)],[27179])).
% 4.54/4.79 tff(27181,plain,
% 4.54/4.79 ((~b(elem!1, s(s(s(s(elem!1)))))) <=> (~b(s(z), s(s(s(s(elem!1))))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27180])).
% 4.54/4.79 tff(27182,plain,
% 4.54/4.79 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1412, 27178])).
% 4.54/4.79 tff(27183,plain,
% 4.54/4.79 (b(z, s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2141, 27182, 27093])).
% 4.54/4.79 tff(27184,plain,
% 4.54/4.79 (s(s(z)) = s(elem!1)),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27178])).
% 4.54/4.79 tff(27185,plain,
% 4.54/4.79 (s(s(s(z))) = s(s(elem!1))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27184])).
% 4.54/4.79 tff(27186,plain,
% 4.54/4.79 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27185])).
% 4.54/4.79 tff(27187,plain,
% 4.54/4.79 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27186])).
% 4.54/4.79 tff(27188,plain,
% 4.54/4.79 (b(s(s(s(elem!1))), z)),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[175, 27187])).
% 4.54/4.79 tff(27189,plain,
% 4.54/4.79 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1428, 27177])).
% 4.54/4.79 tff(27190,plain,
% 4.54/4.79 (~(s(s(elem!1)) = s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[224, 27189])).
% 4.54/4.79 tff(27191,plain,
% 4.54/4.79 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1280, 27190])).
% 4.54/4.79 tff(27192,plain,
% 4.54/4.79 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1329, 27191])).
% 4.54/4.79 tff(27193,plain,
% 4.54/4.79 (r(z, elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1733, 27178, 26806])).
% 4.54/4.79 tff(27194,plain,
% 4.54/4.79 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27186])).
% 4.54/4.79 tff(27195,plain,
% 4.54/4.79 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(s(elem!1))), s(s(elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27194])).
% 4.54/4.79 tff(27196,plain,
% 4.54/4.79 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27185])).
% 4.54/4.79 tff(27197,plain,
% 4.54/4.79 ((~b(s(s(s(s(z)))), s(s(s(z))))) <=> (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27196])).
% 4.54/4.79 tff(27198,plain,
% 4.54/4.79 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27094, 27197])).
% 4.54/4.79 tff(27199,plain,
% 4.54/4.79 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27198, 27195])).
% 4.54/4.79 tff(27200,plain,
% 4.54/4.79 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27178])).
% 4.54/4.79 tff(27201,plain,
% 4.54/4.79 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.54/4.79 inference(transitivity,[status(thm)],[27200, 1254])).
% 4.54/4.79 tff(27202,plain,
% 4.54/4.79 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27201])).
% 4.54/4.79 tff(27203,plain,
% 4.54/4.79 (~(s(s(s(elem!1))) = elem!1)),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[1263, 27202])).
% 4.54/4.79 tff(27204,plain,
% 4.54/4.79 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27186])).
% 4.54/4.79 tff(27205,plain,
% 4.54/4.79 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27204])).
% 4.54/4.79 tff(27206,plain,
% 4.54/4.79 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[62, 27205])).
% 4.54/4.79 tff(27207,plain,
% 4.54/4.79 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27184])).
% 4.54/4.79 tff(27208,plain,
% 4.54/4.79 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27178])).
% 4.54/4.79 tff(27209,plain,
% 4.54/4.79 (b(s(z), s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[455, 27098])).
% 4.54/4.79 tff(27210,plain,
% 4.54/4.79 (b(elem!1, s(s(z)))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27209, 27208])).
% 4.54/4.79 tff(27211,plain,
% 4.54/4.79 (b(elem!1, s(elem!1))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27210, 27207])).
% 4.54/4.79 tff(27212,plain,
% 4.54/4.79 (~(elem!1 = s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1418, 27189])).
% 4.54/4.79 tff(27213,plain,
% 4.54/4.79 (~(s(s(elem!1)) = elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[196, 27212])).
% 4.54/4.79 tff(27214,plain,
% 4.54/4.79 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(s(elem!1)))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27185])).
% 4.54/4.79 tff(27215,plain,
% 4.54/4.79 ((~r(elem!1, s(s(s(z))))) <=> (~r(elem!1, s(s(elem!1))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27214])).
% 4.54/4.79 tff(27216,plain,
% 4.54/4.79 (r(s(z), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27178])).
% 4.54/4.79 tff(27217,plain,
% 4.54/4.79 ((~r(s(z), s(s(s(z))))) <=> (~r(elem!1, s(s(s(z)))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27216])).
% 4.54/4.79 tff(27218,plain,
% 4.54/4.79 (~r(elem!1, s(s(s(z))))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[26569, 27217])).
% 4.54/4.79 tff(27219,plain,
% 4.54/4.79 (~r(elem!1, s(s(elem!1)))),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27218, 27215])).
% 4.54/4.79 tff(27220,plain,
% 4.54/4.79 (r(s(s(elem!1)), s(z)) <=> r(s(s(elem!1)), elem!1)),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27178])).
% 4.54/4.79 tff(27221,plain,
% 4.54/4.79 ((~r(s(s(elem!1)), s(z))) <=> (~r(s(s(elem!1)), elem!1))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27220])).
% 4.54/4.79 tff(27222,plain,
% 4.54/4.79 (~r(s(s(elem!1)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[6732, 27176, 16950])).
% 4.54/4.79 tff(27223,plain,
% 4.54/4.79 (~r(s(s(elem!1)), elem!1)),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27222, 27221])).
% 4.54/4.79 tff(27224,plain,
% 4.54/4.79 (b(s(s(z)), elem!1) <=> b(s(elem!1), elem!1)),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27184])).
% 4.54/4.79 tff(27225,plain,
% 4.54/4.79 (b(s(s(z)), s(z)) <=> b(s(s(z)), elem!1)),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27178])).
% 4.54/4.79 tff(27226,plain,
% 4.54/4.79 (~b(z, s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[982, 27173, 175, 27093, 27097])).
% 4.54/4.79 tff(27227,plain,
% 4.54/4.79 (r(z, s(s(z)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[563, 27226])).
% 4.54/4.79 tff(27228,plain,
% 4.54/4.79 (~r(s(s(z)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2514, 27227, 26806])).
% 4.54/4.79 tff(27229,plain,
% 4.54/4.79 (b(s(s(z)), s(z))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[472, 27228])).
% 4.54/4.79 tff(27230,plain,
% 4.54/4.79 (b(s(s(z)), elem!1)),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27229, 27225])).
% 4.54/4.79 tff(27231,plain,
% 4.54/4.79 (b(s(elem!1), elem!1)),
% 4.54/4.79 inference(modus_ponens,[status(thm)],[27230, 27224])).
% 4.54/4.79 tff(27232,plain,
% 4.54/4.79 (~b(s(s(elem!1)), s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[346, 27231, 27223, 27212, 27219, 27211])).
% 4.54/4.79 tff(27233,plain,
% 4.54/4.79 (b(s(elem!1), s(s(s(elem!1))))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2643, 2605, 1271, 2581, 1270, 2582])).
% 4.54/4.79 tff(27234,plain,
% 4.54/4.79 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1292, 7207, 1270])).
% 4.54/4.79 tff(27235,plain,
% 4.54/4.79 (r(s(s(elem!1)), s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[277, 2605, 7148])).
% 4.54/4.79 tff(27236,plain,
% 4.54/4.79 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2048, 27235, 27234])).
% 4.54/4.79 tff(27237,plain,
% 4.54/4.79 (b(s(s(s(elem!1))), s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1971, 27236, 5949])).
% 4.54/4.79 tff(27238,plain,
% 4.54/4.79 ($false),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[10281, 338, 1500, 2636, 1564, 18681, 18679])).
% 4.54/4.79 tff(27239,plain,((~r(z, s(elem!1))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (elem!1 = s(elem!1)) | (s(elem!1) = elem!1) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.79 tff(27240,plain,
% 4.54/4.79 (~r(z, s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[27239, 27237, 17327, 27233, 14143, 7150, 234])).
% 4.54/4.79 tff(27241,plain,
% 4.54/4.79 (b(z, s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1615, 27240])).
% 4.54/4.79 tff(27242,plain,
% 4.54/4.79 (~b(s(elem!1), elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[13508, 315, 2636, 1929, 1564])).
% 4.54/4.79 tff(27243,plain,
% 4.54/4.79 (r(s(elem!1), elem!1)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[312, 27242, 306])).
% 4.54/4.79 tff(27244,plain,
% 4.54/4.79 (~r(s(elem!1), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[2764, 27243, 234])).
% 4.54/4.79 tff(27245,plain,
% 4.54/4.79 (b(s(elem!1), z)),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1812, 27244])).
% 4.54/4.79 tff(27246,plain,
% 4.54/4.79 (~r(z, s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[18683, 1564, 1929, 2636, 5894, 306, 234])).
% 4.54/4.79 tff(27247,plain,
% 4.54/4.79 (b(z, s(elem!1))),
% 4.54/4.79 inference(unit_resolution,[status(thm)],[1615, 27246])).
% 4.54/4.79 tff(27248,plain,
% 4.54/4.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 4.54/4.79 inference(rewrite,[status(thm)],[])).
% 4.54/4.79 tff(27249,plain,
% 4.54/4.79 (((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 4.54/4.79 inference(rewrite,[status(thm)],[])).
% 4.54/4.79 tff(27250,plain,
% 4.54/4.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1)))))),
% 4.54/4.79 inference(monotonicity,[status(thm)],[27249])).
% 4.54/4.79 tff(27251,plain,
% 4.54/4.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))))),
% 4.54/4.80 inference(transitivity,[status(thm)],[27250, 27248])).
% 4.54/4.80 tff(27252,plain,
% 4.54/4.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))),
% 4.54/4.80 inference(quant_inst,[status(thm)],[])).
% 4.54/4.80 tff(27253,plain,
% 4.54/4.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1)))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27252, 27251])).
% 4.64/4.80 tff(27254,plain,
% 4.64/4.80 (~b(s(elem!1), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27253, 338, 1131, 1595, 1597, 1564, 315])).
% 4.64/4.80 tff(27255,plain,
% 4.64/4.80 (r(s(elem!1), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1810, 21, 736, 27254])).
% 4.64/4.80 tff(27256,plain,
% 4.64/4.80 (~r(s(elem!1), elem!1)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2764, 27255, 234])).
% 4.64/4.80 tff(27257,plain,
% 4.64/4.80 (b(s(elem!1), elem!1)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[310, 21, 27256, 306])).
% 4.64/4.80 tff(27258,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.64/4.80 inference(rewrite,[status(thm)],[])).
% 4.64/4.80 tff(27259,plain,
% 4.64/4.80 (((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1)))))) <=> ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.64/4.80 inference(rewrite,[status(thm)],[])).
% 4.64/4.80 tff(27260,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27259])).
% 4.64/4.80 tff(27261,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)))),
% 4.64/4.80 inference(transitivity,[status(thm)],[27260, 27258])).
% 4.64/4.80 tff(27262,plain,
% 4.64/4.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))))),
% 4.64/4.80 inference(quant_inst,[status(thm)],[])).
% 4.64/4.80 tff(27263,plain,
% 4.64/4.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27262, 27261])).
% 4.64/4.80 tff(27264,plain,
% 4.64/4.80 ($false),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27263, 338, 1131, 2636, 1597, 1564, 315, 27257])).
% 4.64/4.80 tff(27265,plain,((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.80 tff(27266,plain,
% 4.64/4.80 (~b(elem!1, z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27265, 315, 1595, 234, 2636, 306, 1564, 27247])).
% 4.64/4.80 tff(27267,plain,
% 4.64/4.80 (r(elem!1, z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[846, 27266, 719])).
% 4.64/4.80 tff(27268,plain,
% 4.64/4.80 (~b(s(s(s(elem!1))), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[19536, 27267, 1595, 2636, 234, 5894, 306, 1929, 1564])).
% 4.64/4.80 tff(27269,plain,
% 4.64/4.80 (r(s(s(s(elem!1))), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1387, 27268])).
% 4.64/4.80 tff(27270,plain,
% 4.64/4.80 (~r(s(s(elem!1)), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[8977, 27269, 1294])).
% 4.64/4.80 tff(27271,plain,
% 4.64/4.80 (b(s(s(elem!1)), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[800, 27270])).
% 4.64/4.80 tff(27272,plain,
% 4.64/4.80 (~b(s(s(elem!1)), s(elem!1))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[17109, 27271, 8722, 306, 234, 1564, 27247, 1929])).
% 4.64/4.80 tff(27273,plain,
% 4.64/4.80 (r(s(s(elem!1)), s(elem!1))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[277, 27272, 2033])).
% 4.64/4.80 tff(27274,plain,
% 4.64/4.80 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2048, 27273, 1294])).
% 4.64/4.80 tff(27275,plain,
% 4.64/4.80 (b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1971, 27274, 222])).
% 4.64/4.80 tff(27276,plain,
% 4.64/4.80 ($false),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[12022, 338, 27275, 1595, 27247, 1564, 27245])).
% 4.64/4.80 tff(27277,plain,((~b(elem!1, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (s(s(s(elem!1))) = s(elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.80 tff(27278,plain,
% 4.64/4.80 (~b(elem!1, s(s(s(elem!1))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27277, 27233, 1595, 5949, 27234, 8722, 7150, 234, 315, 17327, 719])).
% 4.64/4.80 tff(27279,plain,
% 4.64/4.80 (r(elem!1, s(s(s(elem!1))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1946, 27278, 1925])).
% 4.64/4.80 tff(27280,plain,
% 4.64/4.80 (~r(s(s(s(elem!1))), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[14225, 27279, 1595, 207, 234, 719, 1271])).
% 4.64/4.80 tff(27281,plain,
% 4.64/4.80 (b(s(s(s(elem!1))), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1387, 27280])).
% 4.64/4.80 tff(27282,plain,
% 4.64/4.80 ($false),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1605, 27281, 27241, 1595, 27237, 27233])).
% 4.64/4.80 tff(27283,plain,(b(s(s(elem!1)), s(elem!1)) | (~b(z, s(s(s(elem!1))))) | (s(s(elem!1)) = elem!1) | (~r(z, elem!1)) | (elem!1 = z) | (s(s(s(elem!1))) = elem!1) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.80 tff(27284,plain,
% 4.64/4.80 (r(s(s(s(elem!1))), elem!1)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27283, 27232, 27171, 27193, 27213, 27211, 27174, 27206, 27203, 27199, 27183])).
% 4.64/4.80 tff(27285,plain,
% 4.64/4.80 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2218, 27284, 27193, 27178, 27192, 27188, 27183])).
% 4.64/4.80 tff(27286,plain,
% 4.64/4.80 (b(s(s(s(s(elem!1)))), s(z))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1585, 27285])).
% 4.64/4.80 tff(27287,plain,
% 4.64/4.80 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1593, 27286, 27178])).
% 4.64/4.80 tff(27288,plain,
% 4.64/4.80 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1490, 27189])).
% 4.64/4.80 tff(27289,plain,
% 4.64/4.80 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27186])).
% 4.64/4.80 tff(27290,plain,
% 4.64/4.80 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27176, 27289])).
% 4.64/4.80 tff(27291,plain,
% 4.64/4.80 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27186])).
% 4.64/4.80 tff(27292,plain,
% 4.64/4.80 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27185])).
% 4.64/4.80 tff(27293,plain,
% 4.64/4.80 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27095, 27292])).
% 4.64/4.80 tff(27294,plain,
% 4.64/4.80 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27293, 27291])).
% 4.64/4.80 tff(27295,plain,
% 4.64/4.80 (~(z = elem!1)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2752, 27174])).
% 4.64/4.80 tff(27296,plain,
% 4.64/4.80 (r(z, s(s(z))) <=> r(z, s(elem!1))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27184])).
% 4.64/4.80 tff(27297,plain,
% 4.64/4.80 (r(z, s(elem!1))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27227, 27296])).
% 4.64/4.80 tff(27298,plain,
% 4.64/4.80 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27178])).
% 4.64/4.80 tff(27299,plain,
% 4.64/4.80 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(z))),
% 4.64/4.80 inference(symmetry,[status(thm)],[27298])).
% 4.64/4.80 tff(27300,plain,
% 4.64/4.80 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27186])).
% 4.64/4.80 tff(27301,plain,
% 4.64/4.80 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.64/4.80 inference(symmetry,[status(thm)],[27300])).
% 4.64/4.80 tff(27302,plain,
% 4.64/4.80 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), s(z))),
% 4.64/4.80 inference(transitivity,[status(thm)],[27301, 27299])).
% 4.64/4.80 tff(27303,plain,
% 4.64/4.80 (r(s(s(s(s(z)))), s(z))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27284, 27302])).
% 4.64/4.80 tff(27304,plain,
% 4.64/4.80 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[20215, 27303, 26540, 26806, 27066, 27212, 27297, 27295, 27294, 27203, 27223, 175, 27290])).
% 4.64/4.80 tff(27305,plain,
% 4.64/4.80 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1651, 27304, 27288])).
% 4.64/4.80 tff(27306,plain,
% 4.64/4.80 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27185])).
% 4.64/4.80 tff(27307,plain,
% 4.64/4.80 (b(s(z), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27178])).
% 4.64/4.80 tff(27308,plain,
% 4.64/4.80 (b(elem!1, s(s(s(z))))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[26570, 27307])).
% 4.64/4.80 tff(27309,plain,
% 4.64/4.80 (b(elem!1, s(s(elem!1)))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27308, 27306])).
% 4.64/4.80 tff(27310,plain,
% 4.64/4.80 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), elem!1)),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27178])).
% 4.64/4.80 tff(27311,plain,
% 4.64/4.80 (b(s(s(elem!1)), s(z))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[784, 27222])).
% 4.64/4.80 tff(27312,plain,
% 4.64/4.80 (b(s(s(elem!1)), elem!1)),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27311, 27310])).
% 4.64/4.80 tff(27313,plain,
% 4.64/4.80 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2247, 338, 27312, 27309, 27305, 27287])).
% 4.64/4.80 tff(27314,plain,
% 4.64/4.80 (~b(s(z), s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27313, 27181])).
% 4.64/4.80 tff(27315,plain,
% 4.64/4.80 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2279, 27287, 27312, 27309, 27288, 27290])).
% 4.64/4.80 tff(27316,plain,
% 4.64/4.80 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1562, 27315, 27192])).
% 4.64/4.80 tff(27317,plain,
% 4.64/4.80 (r(elem!1, z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[867, 27178, 27066])).
% 4.64/4.80 tff(27318,plain,
% 4.64/4.80 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27178])).
% 4.64/4.80 tff(27319,plain,
% 4.64/4.80 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27318])).
% 4.64/4.80 tff(27320,plain,
% 4.64/4.80 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[2125, 27319])).
% 4.64/4.80 tff(27321,plain,
% 4.64/4.80 (r(elem!1, s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2297, 27313, 27320])).
% 4.64/4.80 tff(27322,plain,
% 4.64/4.80 (~r(z, s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2292, 27321, 27317])).
% 4.64/4.80 tff(27323,plain,
% 4.64/4.80 (b(z, s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1698, 27322])).
% 4.64/4.80 tff(27324,plain,
% 4.64/4.80 (~b(s(s(s(s(elem!1)))), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2216, 27323, 27183, 27316, 27188])).
% 4.64/4.80 tff(27325,plain,
% 4.64/4.80 (r(s(s(s(s(elem!1)))), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1638, 27324])).
% 4.64/4.80 tff(27326,plain,
% 4.64/4.80 (~r(s(z), s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2233, 27325, 27066])).
% 4.64/4.80 tff(27327,plain,
% 4.64/4.80 (b(s(z), s(s(s(s(elem!1)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2239, 27326])).
% 4.64/4.80 tff(27328,plain,
% 4.64/4.80 ($false),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27327, 27314])).
% 4.64/4.80 tff(27329,plain,(b(s(z), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.80 tff(27330,plain,
% 4.64/4.80 (b(s(z), s(s(s(s(z)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27329, 175, 62, 1741])).
% 4.64/4.80 tff(27331,plain,
% 4.64/4.80 (~r(z, s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[22491, 71, 371])).
% 4.64/4.80 tff(27332,plain,
% 4.64/4.80 (b(z, s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[563, 27331])).
% 4.64/4.80 tff(27333,plain,
% 4.64/4.80 (~b(z, s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[22526, 539, 1741, 406, 175, 601])).
% 4.64/4.80 tff(27334,plain,
% 4.64/4.80 (r(z, s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[149, 27333])).
% 4.64/4.80 tff(27335,plain,
% 4.64/4.80 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1119, 27334, 371])).
% 4.64/4.80 tff(27336,plain,
% 4.64/4.80 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1011, 27335])).
% 4.64/4.80 tff(27337,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.64/4.80 inference(rewrite,[status(thm)],[])).
% 4.64/4.80 tff(27338,plain,
% 4.64/4.80 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.64/4.80 inference(rewrite,[status(thm)],[])).
% 4.64/4.80 tff(27339,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27338])).
% 4.64/4.80 tff(27340,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.64/4.80 inference(transitivity,[status(thm)],[27339, 27337])).
% 4.64/4.80 tff(27341,plain,
% 4.64/4.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 4.64/4.80 inference(quant_inst,[status(thm)],[])).
% 4.64/4.80 tff(27342,plain,
% 4.64/4.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27341, 27340])).
% 4.64/4.80 tff(27343,plain,
% 4.64/4.80 ($false),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27342, 338, 1741, 458, 27336, 651, 539, 175])).
% 4.64/4.80 tff(27344,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.80 tff(27345,plain,
% 4.64/4.80 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27344, 27332, 458, 651, 175, 371, 406, 1741])).
% 4.64/4.80 tff(27346,plain,
% 4.64/4.80 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[689, 27345])).
% 4.64/4.80 tff(27347,plain,
% 4.64/4.80 (~r(z, s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[919, 27346, 371])).
% 4.64/4.80 tff(27348,plain,
% 4.64/4.80 (b(z, s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[149, 27347])).
% 4.64/4.80 tff(27349,plain,
% 4.64/4.80 (~r(s(s(s(z))), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[2472, 27346, 71])).
% 4.64/4.80 tff(27350,plain,
% 4.64/4.80 (b(s(s(s(z))), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[639, 27349])).
% 4.64/4.80 tff(27351,plain,
% 4.64/4.80 (~b(s(s(z)), s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[25830, 27350, 1741, 27332, 27348])).
% 4.64/4.80 tff(27352,plain,
% 4.64/4.80 (r(s(s(z)), s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[534, 27351])).
% 4.64/4.80 tff(27353,plain,
% 4.64/4.80 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1457, 27352, 71])).
% 4.64/4.80 tff(27354,plain,
% 4.64/4.80 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1011, 27353])).
% 4.64/4.80 tff(27355,plain,
% 4.64/4.80 ($false),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[25597, 338, 27332, 1741, 27348, 27350, 27354, 175])).
% 4.64/4.80 tff(27356,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.80 tff(27357,plain,
% 4.64/4.80 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27356, 406, 175, 13914, 26540, 27330, 1741])).
% 4.64/4.80 tff(27358,plain,
% 4.64/4.80 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[68, 27357])).
% 4.64/4.80 tff(27359,plain,
% 4.64/4.80 (~b(s(z), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[21739, 3348, 26540, 13914, 175, 27330, 406])).
% 4.64/4.80 tff(27360,plain,
% 4.64/4.80 (r(s(z), z)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[26, 27359])).
% 4.64/4.80 tff(27361,plain,
% 4.64/4.80 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[3437, 22522, 406])).
% 4.64/4.80 tff(27362,plain,
% 4.64/4.80 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[119, 27361])).
% 4.64/4.80 tff(27363,plain,
% 4.64/4.80 (~b(z, s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[659, 539, 458, 540, 651, 175])).
% 4.64/4.80 tff(27364,plain,
% 4.64/4.80 (r(z, s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[563, 27363])).
% 4.64/4.80 tff(27365,plain,
% 4.64/4.80 (~r(s(z), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[619, 27364, 405])).
% 4.64/4.80 tff(27366,plain,
% 4.64/4.80 (b(s(z), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[455, 27365])).
% 4.64/4.80 tff(27367,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.64/4.80 inference(rewrite,[status(thm)],[])).
% 4.64/4.80 tff(27368,plain,
% 4.64/4.80 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.64/4.80 inference(rewrite,[status(thm)],[])).
% 4.64/4.80 tff(27369,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27368])).
% 4.64/4.80 tff(27370,plain,
% 4.64/4.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.64/4.80 inference(transitivity,[status(thm)],[27369, 27367])).
% 4.64/4.80 tff(27371,plain,
% 4.64/4.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 4.64/4.80 inference(quant_inst,[status(thm)],[])).
% 4.64/4.80 tff(27372,plain,
% 4.64/4.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 4.64/4.80 tff(27373,plain,
% 4.64/4.80 ($false),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27372, 338, 458, 651, 27366, 27362, 539, 540])).
% 4.64/4.80 tff(27374,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.80 tff(27375,plain,
% 4.64/4.80 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[27374, 27360, 27330, 27358, 406, 26540, 175, 1741, 3348])).
% 4.64/4.80 tff(27376,plain,
% 4.64/4.80 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[689, 27375])).
% 4.64/4.80 tff(27377,plain,
% 4.64/4.80 (~r(s(z), s(s(s(s(z)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[26568, 406, 175, 26540, 1741])).
% 4.64/4.80 tff(27378,plain,
% 4.64/4.80 (~b(s(s(s(z))), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[20864, 338, 24163, 458, 651, 24162, 540])).
% 4.64/4.80 tff(27379,plain,
% 4.64/4.80 (r(s(s(s(z))), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[639, 27378])).
% 4.64/4.80 tff(27380,plain,
% 4.64/4.80 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[379, 165, 371])).
% 4.64/4.80 tff(27381,plain,
% 4.64/4.80 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[368, 27380, 62])).
% 4.64/4.80 tff(27382,plain,
% 4.64/4.80 (~(elem!1 = s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[3236, 27381])).
% 4.64/4.80 tff(27383,plain,
% 4.64/4.80 (~r(s(z), s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[729, 165, 27])).
% 4.64/4.80 tff(27384,plain,
% 4.64/4.80 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[25678, 27383, 406])).
% 4.64/4.80 tff(27385,plain,
% 4.64/4.80 (~(s(z) = elem!1)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[873, 27384])).
% 4.64/4.80 tff(27386,plain,
% 4.64/4.80 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27381])).
% 4.64/4.80 tff(27387,plain,
% 4.64/4.80 (s(elem!1) = s(s(s(z)))),
% 4.64/4.80 inference(transitivity,[status(thm)],[182, 27386, 44])).
% 4.64/4.80 tff(27388,plain,
% 4.64/4.80 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27387])).
% 4.64/4.80 tff(27389,plain,
% 4.64/4.80 (elem!1 = s(s(z))),
% 4.64/4.80 inference(transitivity,[status(thm)],[5450, 27388, 52])).
% 4.64/4.80 tff(27390,plain,
% 4.64/4.80 (r(s(z), elem!1) <=> r(s(z), s(s(z)))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27389])).
% 4.64/4.80 tff(27391,plain,
% 4.64/4.80 (r(s(z), s(s(z))) <=> r(s(z), elem!1)),
% 4.64/4.80 inference(symmetry,[status(thm)],[27390])).
% 4.64/4.80 tff(27392,plain,
% 4.64/4.80 ((~r(s(z), s(s(z)))) <=> (~r(s(z), elem!1))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27391])).
% 4.64/4.80 tff(27393,plain,
% 4.64/4.80 (~r(s(z), elem!1)),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[26719, 27392])).
% 4.64/4.80 tff(27394,plain,
% 4.64/4.80 (b(z, elem!1)),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[859, 27393, 27385, 165, 27382, 1])).
% 4.64/4.80 tff(27395,plain,
% 4.64/4.80 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27389])).
% 4.64/4.80 tff(27396,plain,
% 4.64/4.80 (b(s(z), s(s(z))) <=> b(s(z), elem!1)),
% 4.64/4.80 inference(symmetry,[status(thm)],[27395])).
% 4.64/4.80 tff(27397,plain,
% 4.64/4.80 (b(s(z), s(s(z)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[455, 26719])).
% 4.64/4.80 tff(27398,plain,
% 4.64/4.80 (b(s(z), elem!1)),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[27397, 27396])).
% 4.64/4.80 tff(27399,plain,
% 4.64/4.80 (b(s(z), s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[743, 27383])).
% 4.64/4.80 tff(27400,plain,
% 4.64/4.80 (b(elem!1, s(z)) <=> b(s(s(z)), s(z))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27389])).
% 4.64/4.80 tff(27401,plain,
% 4.64/4.80 (b(s(s(z)), s(z)) <=> b(elem!1, s(z))),
% 4.64/4.80 inference(symmetry,[status(thm)],[27400])).
% 4.64/4.80 tff(27402,plain,
% 4.64/4.80 (b(elem!1, s(z))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[475, 27401])).
% 4.64/4.80 tff(27403,plain,
% 4.64/4.80 (~b(elem!1, s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[1071, 27402, 486, 27399, 27398, 27394])).
% 4.64/4.80 tff(27404,plain,
% 4.64/4.80 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27381])).
% 4.64/4.80 tff(27405,plain,
% 4.64/4.80 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.64/4.80 inference(symmetry,[status(thm)],[27404])).
% 4.64/4.80 tff(27406,plain,
% 4.64/4.80 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27387])).
% 4.64/4.80 tff(27407,plain,
% 4.64/4.80 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.64/4.80 inference(symmetry,[status(thm)],[27406])).
% 4.64/4.80 tff(27408,plain,
% 4.64/4.80 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.64/4.80 inference(transitivity,[status(thm)],[27407, 27405])).
% 4.64/4.80 tff(27409,plain,
% 4.64/4.80 (r(s(elem!1), s(s(elem!1)))),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[911, 27408])).
% 4.64/4.80 tff(27410,plain,
% 4.64/4.80 (r(s(elem!1), elem!1) <=> r(s(s(s(z))), elem!1)),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27387])).
% 4.64/4.80 tff(27411,plain,
% 4.64/4.80 (r(s(s(s(z))), elem!1) <=> r(s(elem!1), elem!1)),
% 4.64/4.80 inference(symmetry,[status(thm)],[27410])).
% 4.64/4.80 tff(27412,plain,
% 4.64/4.80 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.64/4.80 inference(symmetry,[status(thm)],[27388])).
% 4.64/4.80 tff(27413,plain,
% 4.64/4.80 (s(s(z)) = elem!1),
% 4.64/4.80 inference(transitivity,[status(thm)],[53, 27412, 199])).
% 4.64/4.80 tff(27414,plain,
% 4.64/4.80 (r(s(s(s(z))), s(s(z))) <=> r(s(s(s(z))), elem!1)),
% 4.64/4.80 inference(monotonicity,[status(thm)],[27413])).
% 4.64/4.80 tff(27415,plain,
% 4.64/4.80 (r(s(s(s(z))), s(s(z))) <=> r(s(elem!1), elem!1)),
% 4.64/4.80 inference(transitivity,[status(thm)],[27414, 27411])).
% 4.64/4.80 tff(27416,plain,
% 4.64/4.80 (r(s(elem!1), elem!1)),
% 4.64/4.80 inference(modus_ponens,[status(thm)],[2464, 27415])).
% 4.64/4.80 tff(27417,plain,
% 4.64/4.80 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[3077, 27416, 27409])).
% 4.64/4.80 tff(27418,plain,
% 4.64/4.80 ($false),
% 4.64/4.80 inference(unit_resolution,[status(thm)],[321, 27417, 27403, 27382])).
% 4.64/4.80 tff(27419,plain,((~r(z, s(s(elem!1)))) | (~b(z, s(z))) | b(s(z), z) | (~r(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(z))) | r(s(z), s(s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.81 tff(27420,plain,
% 4.64/4.81 (~r(z, s(s(elem!1)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27419, 27379, 1, 486, 24163, 18534, 911, 406, 62, 13914])).
% 4.64/4.81 tff(27421,plain,
% 4.64/4.81 (b(z, s(s(elem!1)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[161, 27420])).
% 4.64/4.81 tff(27422,plain,
% 4.64/4.81 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[18489, 27421, 386])).
% 4.64/4.81 tff(27423,plain,
% 4.64/4.81 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[368, 27422, 62])).
% 4.64/4.81 tff(27424,plain,
% 4.64/4.81 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[22025, 27423, 458, 27, 3348, 911])).
% 4.64/4.81 tff(27425,plain,
% 4.64/4.81 (s(z) = elem!1),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1237, 27424])).
% 4.64/4.81 tff(27426,plain,
% 4.64/4.81 (b(s(z), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27425])).
% 4.64/4.81 tff(27427,plain,
% 4.64/4.81 (b(elem!1, s(elem!1)) <=> b(s(z), s(elem!1))),
% 4.64/4.81 inference(symmetry,[status(thm)],[27426])).
% 4.64/4.81 tff(27428,plain,
% 4.64/4.81 (s(s(z)) = s(elem!1)),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27425])).
% 4.64/4.81 tff(27429,plain,
% 4.64/4.81 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27428])).
% 4.64/4.81 tff(27430,plain,
% 4.64/4.81 (b(elem!1, s(s(z))) <=> b(s(z), s(elem!1))),
% 4.64/4.81 inference(transitivity,[status(thm)],[27429, 27427])).
% 4.64/4.81 tff(27431,plain,
% 4.64/4.81 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27425])).
% 4.64/4.81 tff(27432,plain,
% 4.64/4.81 (b(elem!1, s(s(z)))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[24162, 27431])).
% 4.64/4.81 tff(27433,plain,
% 4.64/4.81 (b(s(z), s(elem!1))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27432, 27430])).
% 4.64/4.81 tff(27434,plain,
% 4.64/4.81 (r(s(z), s(s(elem!1)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[25678, 27424, 406])).
% 4.64/4.81 tff(27435,plain,
% 4.64/4.81 (~r(s(s(elem!1)), z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[17354, 27434, 27])).
% 4.64/4.81 tff(27436,plain,
% 4.64/4.81 (b(s(s(elem!1)), z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[800, 27435])).
% 4.64/4.81 tff(27437,plain,
% 4.64/4.81 (r(elem!1, z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[867, 27425, 27])).
% 4.64/4.81 tff(27438,plain,
% 4.64/4.81 (~r(elem!1, s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[811, 27437, 27])).
% 4.64/4.81 tff(27439,plain,
% 4.64/4.81 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27428])).
% 4.64/4.81 tff(27440,plain,
% 4.64/4.81 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27439])).
% 4.64/4.81 tff(27441,plain,
% 4.64/4.81 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27440])).
% 4.64/4.81 tff(27442,plain,
% 4.64/4.81 (~(s(s(s(z))) = s(elem!1))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[10692, 27422])).
% 4.64/4.81 tff(27443,plain,
% 4.64/4.81 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[4794, 27442])).
% 4.64/4.81 tff(27444,plain,
% 4.64/4.81 (~b(s(s(s(s(z)))), s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[2919, 24163, 651, 540, 24162])).
% 4.64/4.81 tff(27445,plain,
% 4.64/4.81 (r(s(s(s(s(z)))), s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[119, 27444])).
% 4.64/4.81 tff(27446,plain,
% 4.64/4.81 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[15263, 27434, 27445])).
% 4.64/4.81 tff(27447,plain,
% 4.64/4.81 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[10478, 27446, 27443])).
% 4.64/4.81 tff(27448,plain,
% 4.64/4.81 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27447, 27441])).
% 4.64/4.81 tff(27449,plain,
% 4.64/4.81 (b(elem!1, s(elem!1))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27432, 27429])).
% 4.64/4.81 tff(27450,plain,
% 4.64/4.81 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), elem!1)),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27425])).
% 4.64/4.81 tff(27451,plain,
% 4.64/4.81 (~r(s(s(elem!1)), s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[2354, 27423, 27445])).
% 4.64/4.81 tff(27452,plain,
% 4.64/4.81 (b(s(s(elem!1)), s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[784, 27451])).
% 4.64/4.81 tff(27453,plain,
% 4.64/4.81 (b(s(s(elem!1)), elem!1)),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27452, 27450])).
% 4.64/4.81 tff(27454,plain,
% 4.64/4.81 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1428, 27424])).
% 4.64/4.81 tff(27455,plain,
% 4.64/4.81 (~(elem!1 = s(s(elem!1)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1418, 27454])).
% 4.64/4.81 tff(27456,plain,
% 4.64/4.81 (~(s(s(elem!1)) = elem!1)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[196, 27455])).
% 4.64/4.81 tff(27457,plain,
% 4.64/4.81 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[209, 27456])).
% 4.64/4.81 tff(27458,plain,
% 4.64/4.81 (b(z, s(z)) <=> b(z, elem!1)),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27425])).
% 4.64/4.81 tff(27459,plain,
% 4.64/4.81 (b(z, elem!1)),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[486, 27458])).
% 4.64/4.81 tff(27460,plain,
% 4.64/4.81 (r(s(s(s(z))), s(s(z))) <=> r(s(s(elem!1)), s(elem!1))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27439, 27428])).
% 4.64/4.81 tff(27461,plain,
% 4.64/4.81 (r(s(s(elem!1)), s(elem!1))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27379, 27460])).
% 4.64/4.81 tff(27462,plain,
% 4.64/4.81 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(elem!1))))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27440])).
% 4.64/4.81 tff(27463,plain,
% 4.64/4.81 ((~r(elem!1, s(s(s(s(z)))))) <=> (~r(elem!1, s(s(s(elem!1)))))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27462])).
% 4.64/4.81 tff(27464,plain,
% 4.64/4.81 (r(s(z), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27425])).
% 4.64/4.81 tff(27465,plain,
% 4.64/4.81 ((~r(s(z), s(s(s(s(z)))))) <=> (~r(elem!1, s(s(s(s(z))))))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27464])).
% 4.64/4.81 tff(27466,assumption,(~r(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 4.64/4.81 tff(27467,plain,
% 4.64/4.81 (~r(elem!1, s(s(s(s(z)))))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27466, 27465])).
% 4.64/4.81 tff(27468,plain,
% 4.64/4.81 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27467, 27463])).
% 4.64/4.81 tff(27469,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 4.64/4.81 inference(rewrite,[status(thm)],[])).
% 4.64/4.81 tff(27470,plain,
% 4.64/4.81 (((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 4.64/4.81 inference(rewrite,[status(thm)],[])).
% 4.64/4.81 tff(27471,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27470])).
% 4.64/4.81 tff(27472,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)))),
% 4.64/4.81 inference(transitivity,[status(thm)],[27471, 27469])).
% 4.64/4.81 tff(27473,plain,
% 4.64/4.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))),
% 4.64/4.81 inference(quant_inst,[status(thm)],[])).
% 4.64/4.81 tff(27474,plain,
% 4.64/4.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27473, 27472])).
% 4.64/4.81 tff(27475,plain,
% 4.64/4.81 (~b(z, s(s(s(elem!1))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27474, 338, 1021, 763, 6387, 8722, 878])).
% 4.64/4.81 tff(27476,plain,
% 4.64/4.81 (~(s(s(s(elem!1))) = elem!1)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[2647, 27475, 1021])).
% 4.64/4.81 tff(27477,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))))),
% 4.64/4.81 inference(rewrite,[status(thm)],[])).
% 4.64/4.81 tff(27478,plain,
% 4.64/4.81 (((~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))))),
% 4.64/4.81 inference(rewrite,[status(thm)],[])).
% 4.64/4.81 tff(27479,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1)))))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27478])).
% 4.64/4.81 tff(27480,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1))))),
% 4.64/4.81 inference(transitivity,[status(thm)],[27479, 27477])).
% 4.64/4.81 tff(27481,plain,
% 4.64/4.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 4.64/4.81 inference(quant_inst,[status(thm)],[])).
% 4.64/4.81 tff(27482,plain,
% 4.64/4.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(z))) | (~b(s(z), s(elem!1)))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27481, 27480])).
% 4.64/4.81 tff(27483,plain,
% 4.64/4.81 (~b(elem!1, s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27482, 338, 1021, 763, 315, 878, 3083])).
% 4.64/4.81 tff(27484,plain,
% 4.64/4.81 (elem!1 = s(z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[819, 27483, 813])).
% 4.64/4.81 tff(27485,plain,
% 4.64/4.81 (~b(s(s(s(elem!1))), z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27041, 338, 1021, 763, 6387, 8722, 878])).
% 4.64/4.81 tff(27486,plain,
% 4.64/4.81 (r(s(s(s(elem!1))), z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1387, 27485])).
% 4.64/4.81 tff(27487,plain,
% 4.64/4.81 (~r(s(s(s(elem!1))), s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[2599, 27486, 405])).
% 4.64/4.81 tff(27488,plain,
% 4.64/4.81 (~r(s(s(s(elem!1))), elem!1)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[11645, 27487, 27484])).
% 4.64/4.81 tff(27489,plain,
% 4.64/4.81 (b(s(s(s(elem!1))), elem!1)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[2162, 27488, 27476])).
% 4.64/4.81 tff(27490,plain,
% 4.64/4.81 (~(elem!1 = s(s(s(elem!1))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1924, 27476])).
% 4.64/4.81 tff(27491,plain,
% 4.64/4.81 (b(elem!1, s(s(s(elem!1))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1946, 27490, 1941])).
% 4.64/4.81 tff(27492,plain,
% 4.64/4.81 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[23227, 27489, 6387, 27491, 763])).
% 4.64/4.81 tff(27493,plain,
% 4.64/4.81 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[2619, 27492, 10550])).
% 4.64/4.81 tff(27494,plain,
% 4.64/4.81 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[2629, 27493, 264])).
% 4.64/4.81 tff(27495,plain,
% 4.64/4.81 (b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1515, 27494, 215])).
% 4.64/4.81 tff(27496,plain,
% 4.64/4.81 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[6302, 27493, 264])).
% 4.64/4.81 tff(27497,plain,
% 4.64/4.81 (b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1971, 27496, 1962])).
% 4.64/4.81 tff(27498,plain,
% 4.64/4.81 ($false),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[23319, 27497, 27495, 315, 27491, 27489])).
% 4.64/4.81 tff(27499,plain,((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | r(elem!1, s(s(s(elem!1)))) | (~r(s(z), z)) | (~b(z, elem!1)) | r(elem!1, s(z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.81 tff(27500,plain,
% 4.64/4.81 ($false),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27499, 27468, 27461, 27, 27459, 27457, 27453, 27449, 27448, 27438, 27421, 27436, 27433])).
% 4.64/4.81 tff(27501,plain,((~r(s(s(z)), s(s(s(z))))) | r(s(z), s(s(s(s(z))))) | (~b(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | b(s(z), z) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.81 tff(27502,plain,
% 4.64/4.81 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27501, 3348, 486, 406, 26540, 27377, 27376, 62, 386, 27359, 27330, 27358])).
% 4.64/4.81 tff(27503,plain,
% 4.64/4.81 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[534, 27502])).
% 4.64/4.81 tff(27504,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.81 inference(rewrite,[status(thm)],[])).
% 4.64/4.81 tff(27505,plain,
% 4.64/4.81 (((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.81 inference(rewrite,[status(thm)],[])).
% 4.64/4.81 tff(27506,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27505])).
% 4.64/4.81 tff(27507,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.81 inference(transitivity,[status(thm)],[27506, 27504])).
% 4.64/4.81 tff(27508,plain,
% 4.64/4.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.81 inference(quant_inst,[status(thm)],[])).
% 4.64/4.81 tff(27509,plain,
% 4.64/4.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27508, 27507])).
% 4.64/4.81 tff(27510,plain,
% 4.64/4.81 ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27509, 338, 476, 1741, 3348, 175])).
% 4.64/4.81 tff(27511,plain,
% 4.64/4.81 (~b(z, s(s(z)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27510, 987])).
% 4.64/4.81 tff(27512,plain,
% 4.64/4.81 (r(z, s(s(z)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[563, 27511])).
% 4.64/4.81 tff(27513,plain,
% 4.64/4.81 (~r(s(z), s(s(z)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[619, 27512, 405])).
% 4.64/4.81 tff(27514,plain,
% 4.64/4.81 (b(s(z), s(s(z)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[455, 27513])).
% 4.64/4.81 tff(27515,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.81 inference(rewrite,[status(thm)],[])).
% 4.64/4.81 tff(27516,plain,
% 4.64/4.81 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.81 inference(rewrite,[status(thm)],[])).
% 4.64/4.81 tff(27517,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.64/4.81 inference(monotonicity,[status(thm)],[27516])).
% 4.64/4.81 tff(27518,plain,
% 4.64/4.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.81 inference(transitivity,[status(thm)],[27517, 27515])).
% 4.64/4.81 tff(27519,plain,
% 4.64/4.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.64/4.81 inference(quant_inst,[status(thm)],[])).
% 4.64/4.81 tff(27520,plain,
% 4.64/4.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.64/4.81 inference(modus_ponens,[status(thm)],[27519, 27518])).
% 4.64/4.81 tff(27521,plain,
% 4.64/4.81 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27520, 338, 476, 987, 651, 27514, 540])).
% 4.64/4.81 tff(27522,plain,
% 4.64/4.81 (r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[598, 27521, 61])).
% 4.64/4.81 tff(27523,plain,
% 4.64/4.81 (~b(s(s(z)), z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[3952, 338, 476, 3348, 651, 27514, 540])).
% 4.64/4.81 tff(27524,plain,
% 4.64/4.81 (r(s(s(z)), z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[956, 27523])).
% 4.64/4.81 tff(27525,plain,
% 4.64/4.81 ($false),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[18546, 82, 27524, 371, 27522])).
% 4.64/4.81 tff(27526,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.81 tff(27527,plain,
% 4.64/4.81 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27526, 27503, 13914, 3348, 27330, 27358, 27360, 1741, 175])).
% 4.64/4.81 tff(27528,plain,
% 4.64/4.81 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[1011, 27527])).
% 4.64/4.81 tff(27529,plain,
% 4.64/4.81 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[3437, 27528, 406])).
% 4.64/4.81 tff(27530,plain,
% 4.64/4.81 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[119, 27529])).
% 4.64/4.81 tff(27531,plain,
% 4.64/4.81 (~b(s(s(z)), z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[3952, 338, 476, 3348, 651, 474, 540])).
% 4.64/4.81 tff(27532,plain,
% 4.64/4.81 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[5800, 474, 651, 540, 2911])).
% 4.64/4.81 tff(27533,plain,
% 4.64/4.81 (r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[598, 27532, 61])).
% 4.64/4.81 tff(27534,plain,
% 4.64/4.81 (~r(s(s(z)), z)),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[18546, 82, 371, 27533])).
% 4.64/4.81 tff(27535,plain,
% 4.64/4.81 ($false),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[956, 27534, 27531])).
% 4.64/4.81 tff(27536,plain,((~b(s(z), s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.81 tff(27537,plain,
% 4.64/4.81 (~b(s(z), s(s(z)))),
% 4.64/4.81 inference(unit_resolution,[status(thm)],[27536, 27503, 13914, 3348, 27330, 27358, 27530])).
% 4.64/4.82 tff(27538,plain,
% 4.64/4.82 (r(s(z), s(s(z)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[455, 27537])).
% 4.64/4.82 tff(27539,plain,
% 4.64/4.82 (~r(s(s(z)), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[21488, 27538, 27360])).
% 4.64/4.82 tff(27540,plain,
% 4.64/4.82 (b(s(s(z)), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[956, 27539])).
% 4.64/4.82 tff(27541,plain,
% 4.64/4.82 (~r(z, s(s(z)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[619, 27538, 27360])).
% 4.64/4.82 tff(27542,plain,
% 4.64/4.82 (b(z, s(s(z)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[563, 27541])).
% 4.64/4.82 tff(27543,plain,
% 4.64/4.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.82 inference(rewrite,[status(thm)],[])).
% 4.64/4.82 tff(27544,plain,
% 4.64/4.82 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.82 inference(rewrite,[status(thm)],[])).
% 4.64/4.82 tff(27545,plain,
% 4.64/4.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27544])).
% 4.64/4.82 tff(27546,plain,
% 4.64/4.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.82 inference(transitivity,[status(thm)],[27545, 27543])).
% 4.64/4.82 tff(27547,plain,
% 4.64/4.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 4.64/4.82 inference(quant_inst,[status(thm)],[])).
% 4.64/4.82 tff(27548,plain,
% 4.64/4.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27547, 27546])).
% 4.64/4.82 tff(27549,plain,
% 4.64/4.82 ($false),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27548, 338, 27503, 27542, 3348, 27540, 27358, 175])).
% 4.64/4.82 tff(27550,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.82 tff(27551,plain,
% 4.64/4.82 (~b(z, s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27550, 406, 175, 1741, 486, 62, 386])).
% 4.64/4.82 tff(27552,plain,
% 4.64/4.82 (r(z, s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[149, 27551])).
% 4.64/4.82 tff(27553,plain,
% 4.64/4.82 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[919, 27552, 13914])).
% 4.64/4.82 tff(27554,plain,
% 4.64/4.82 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[689, 27553])).
% 4.64/4.82 tff(27555,plain,
% 4.64/4.82 (~r(s(z), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[414, 27552, 406])).
% 4.64/4.82 tff(27556,plain,
% 4.64/4.82 (b(s(z), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[26, 27555])).
% 4.64/4.82 tff(27557,plain,
% 4.64/4.82 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[21907, 27556, 13914, 27552, 486, 62, 175, 27554])).
% 4.64/4.82 tff(27558,plain,
% 4.64/4.82 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[368, 27557, 62])).
% 4.64/4.82 tff(27559,plain,
% 4.64/4.82 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27558])).
% 4.64/4.82 tff(27560,plain,
% 4.64/4.82 (s(elem!1) = s(s(s(z)))),
% 4.64/4.82 inference(transitivity,[status(thm)],[182, 27559, 44])).
% 4.64/4.82 tff(27561,plain,
% 4.64/4.82 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27560])).
% 4.64/4.82 tff(27562,plain,
% 4.64/4.82 (elem!1 = s(s(z))),
% 4.64/4.82 inference(transitivity,[status(thm)],[5450, 27561, 52])).
% 4.64/4.82 tff(27563,plain,
% 4.64/4.82 (b(z, elem!1) <=> b(z, s(s(z)))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27562])).
% 4.64/4.82 tff(27564,plain,
% 4.64/4.82 (b(z, s(s(z))) <=> b(z, elem!1)),
% 4.64/4.82 inference(symmetry,[status(thm)],[27563])).
% 4.64/4.82 tff(27565,plain,
% 4.64/4.82 ((~b(z, s(s(z)))) <=> (~b(z, elem!1))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27564])).
% 4.64/4.82 tff(27566,plain,
% 4.64/4.82 (~b(z, s(s(z)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[659, 27554, 26540, 27358, 27330, 175])).
% 4.64/4.82 tff(27567,plain,
% 4.64/4.82 (~b(z, elem!1)),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 4.64/4.82 tff(27568,plain,
% 4.64/4.82 (~b(z, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18581, 27556, 175, 27330, 27552, 486, 62, 27554])).
% 4.64/4.82 tff(27569,plain,
% 4.64/4.82 (r(z, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[161, 27568])).
% 4.64/4.82 tff(27570,plain,
% 4.64/4.82 (~(elem!1 = s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[3236, 27558])).
% 4.64/4.82 tff(27571,plain,
% 4.64/4.82 (b(z, elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[360, 27570, 27552, 27558, 27569])).
% 4.64/4.82 tff(27572,plain,
% 4.64/4.82 ($false),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27571, 27567])).
% 4.64/4.82 tff(27573,plain,((~r(s(z), s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.82 tff(27574,plain,
% 4.64/4.82 (~r(s(z), s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27573, 486, 175, 62, 1741, 386])).
% 4.64/4.82 tff(27575,plain,
% 4.64/4.82 (b(s(z), s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[424, 27574])).
% 4.64/4.82 tff(27576,plain,
% 4.64/4.82 (~r(z, s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[26372, 27575, 1741, 27330, 175, 13914])).
% 4.64/4.82 tff(27577,plain,
% 4.64/4.82 (b(z, s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[149, 27576])).
% 4.64/4.82 tff(27578,plain,
% 4.64/4.82 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[21441, 27577, 26540, 27330, 486, 27575])).
% 4.64/4.82 tff(27579,plain,
% 4.64/4.82 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[689, 27578])).
% 4.64/4.82 tff(27580,plain,
% 4.64/4.82 (~b(s(z), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1749, 27575, 1741, 26540, 486])).
% 4.64/4.82 tff(27581,plain,
% 4.64/4.82 (r(s(z), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[26, 27580])).
% 4.64/4.82 tff(27582,plain,
% 4.64/4.82 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[24541, 338, 486, 27575, 1741, 27577, 175])).
% 4.64/4.82 tff(27583,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 4.64/4.82 inference(symmetry,[status(thm)],[26269])).
% 4.64/4.82 tff(27584,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.64/4.82 inference(symmetry,[status(thm)],[26285])).
% 4.64/4.82 tff(27585,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(elem!1)), s(elem!1))),
% 4.64/4.82 inference(transitivity,[status(thm)],[27584, 27583])).
% 4.64/4.82 tff(27586,plain,
% 4.64/4.82 ((~b(s(s(s(s(z)))), s(s(s(z))))) <=> (~b(s(s(elem!1)), s(elem!1)))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27585])).
% 4.64/4.82 tff(27587,assumption,(~b(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 4.64/4.82 tff(27588,plain,
% 4.64/4.82 (~b(s(s(elem!1)), s(elem!1))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27587, 27586])).
% 4.64/4.82 tff(27589,plain,
% 4.64/4.82 ($false),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[25576, 27588, 26268, 140, 26273, 26276, 26272])).
% 4.64/4.82 tff(27590,plain,(b(z, s(s(elem!1))) | b(s(s(s(s(z)))), s(s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.82 tff(27591,plain,
% 4.64/4.82 (b(z, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27590, 27582, 1741, 27577, 62, 13914])).
% 4.64/4.82 tff(27592,plain,
% 4.64/4.82 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18489, 27591, 386])).
% 4.64/4.82 tff(27593,plain,
% 4.64/4.82 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[368, 27592, 62])).
% 4.64/4.82 tff(27594,plain,
% 4.64/4.82 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[22025, 27593, 26540, 27581, 27577, 27579])).
% 4.64/4.82 tff(27595,plain,
% 4.64/4.82 (s(z) = elem!1),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1237, 27594])).
% 4.64/4.82 tff(27596,plain,
% 4.64/4.82 (s(s(z)) = s(elem!1)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27595])).
% 4.64/4.82 tff(27597,plain,
% 4.64/4.82 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27596])).
% 4.64/4.82 tff(27598,plain,
% 4.64/4.82 (b(s(s(s(z))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27597])).
% 4.64/4.82 tff(27599,plain,
% 4.64/4.82 (b(s(s(s(z))), elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[11879, 27595, 26540])).
% 4.64/4.82 tff(27600,plain,
% 4.64/4.82 (b(s(s(elem!1)), elem!1)),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27599, 27598])).
% 4.64/4.82 tff(27601,plain,
% 4.64/4.82 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27597])).
% 4.64/4.82 tff(27602,plain,
% 4.64/4.82 (b(s(s(elem!1)), z)),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[1741, 27601])).
% 4.64/4.82 tff(27603,plain,
% 4.64/4.82 (b(z, s(z)) <=> b(z, elem!1)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27595])).
% 4.64/4.82 tff(27604,plain,
% 4.64/4.82 (b(z, elem!1)),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[486, 27603])).
% 4.64/4.82 tff(27605,plain,
% 4.64/4.82 (b(elem!1, s(s(s(z)))) <=> b(elem!1, s(s(elem!1)))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27597])).
% 4.64/4.82 tff(27606,plain,
% 4.64/4.82 (b(s(z), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27595])).
% 4.64/4.82 tff(27607,plain,
% 4.64/4.82 (b(elem!1, s(s(s(z))))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27575, 27606])).
% 4.64/4.82 tff(27608,plain,
% 4.64/4.82 (b(elem!1, s(s(elem!1)))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27607, 27605])).
% 4.64/4.82 tff(27609,plain,
% 4.64/4.82 ($false),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18010, 27608, 27604, 27591, 27602, 27600])).
% 4.64/4.82 tff(27610,plain,((~b(z, s(z))) | (~b(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.82 tff(27611,plain,
% 4.64/4.82 (~b(z, s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27610, 386, 62, 1741, 175])).
% 4.64/4.82 tff(27612,plain,
% 4.64/4.82 (r(z, s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[403, 27611])).
% 4.64/4.82 tff(27613,plain,
% 4.64/4.82 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2112, 27612, 13914])).
% 4.64/4.82 tff(27614,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[119, 27613])).
% 4.64/4.82 tff(27615,plain,
% 4.64/4.82 (~r(z, s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[16634, 27612, 26540, 13914])).
% 4.64/4.82 tff(27616,plain,
% 4.64/4.82 (b(z, s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[149, 27615])).
% 4.64/4.82 tff(27617,plain,
% 4.64/4.82 (~r(s(z), s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[21739, 1740, 26540, 13914, 175, 27330, 27616])).
% 4.64/4.82 tff(27618,plain,
% 4.64/4.82 (b(s(z), s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[424, 27617])).
% 4.64/4.82 tff(27619,plain,
% 4.64/4.82 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[20844, 27618, 26540, 27330, 27614])).
% 4.64/4.82 tff(27620,plain,
% 4.64/4.82 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[689, 27619])).
% 4.64/4.82 tff(27621,plain,
% 4.64/4.82 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[5079, 27618, 26540, 27330, 27614])).
% 4.64/4.82 tff(27622,plain,
% 4.64/4.82 (b(z, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27590, 27621, 1741, 27616, 62, 13914])).
% 4.64/4.82 tff(27623,plain,
% 4.64/4.82 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18489, 27622, 386])).
% 4.64/4.82 tff(27624,plain,
% 4.64/4.82 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[368, 27623, 62])).
% 4.64/4.82 tff(27625,plain,
% 4.64/4.82 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[16143, 27624, 27620])).
% 4.64/4.82 tff(27626,plain,
% 4.64/4.82 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[14568, 27624, 27620])).
% 4.64/4.82 tff(27627,plain,
% 4.64/4.82 (~r(s(s(elem!1)), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18502, 82, 13914, 27624])).
% 4.64/4.82 tff(27628,plain,
% 4.64/4.82 (b(s(s(elem!1)), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[800, 27627])).
% 4.64/4.82 tff(27629,plain,
% 4.64/4.82 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[22431, 27628, 27622, 1741, 27626, 27625])).
% 4.64/4.82 tff(27630,plain,
% 4.64/4.82 (s(z) = elem!1),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1237, 27629])).
% 4.64/4.82 tff(27631,plain,
% 4.64/4.82 (~b(z, elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2343, 27630, 27611])).
% 4.64/4.82 tff(27632,plain,
% 4.64/4.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(s(s(z)))))))),
% 4.64/4.82 inference(rewrite,[status(thm)],[])).
% 4.64/4.82 tff(27633,plain,
% 4.64/4.82 (((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, z))) <=> ((~r(z, z)) | (~r(z, s(s(s(s(z)))))))),
% 4.64/4.82 inference(rewrite,[status(thm)],[])).
% 4.64/4.82 tff(27634,plain,
% 4.64/4.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(s(s(s(z))))))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27633])).
% 4.64/4.82 tff(27635,plain,
% 4.64/4.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(s(s(z)))))))),
% 4.64/4.82 inference(transitivity,[status(thm)],[27634, 27632])).
% 4.64/4.82 tff(27636,plain,
% 4.64/4.82 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, z)))),
% 4.64/4.82 inference(quant_inst,[status(thm)],[])).
% 4.64/4.82 tff(27637,plain,
% 4.64/4.82 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(s(s(z))))))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27636, 27635])).
% 4.64/4.82 tff(27638,plain,
% 4.64/4.82 (~r(z, z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27637, 82, 13914])).
% 4.64/4.82 tff(27639,plain,
% 4.64/4.82 (r(z, elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1733, 27630, 27612])).
% 4.64/4.82 tff(27640,plain,
% 4.64/4.82 (~(elem!1 = z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[10543, 27639, 27638])).
% 4.64/4.82 tff(27641,plain,
% 4.64/4.82 (s(s(z)) = s(elem!1)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27630])).
% 4.64/4.82 tff(27642,plain,
% 4.64/4.82 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27641])).
% 4.64/4.82 tff(27643,plain,
% 4.64/4.82 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27642])).
% 4.64/4.82 tff(27644,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27643])).
% 4.64/4.82 tff(27645,plain,
% 4.64/4.82 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(s(elem!1))), s(s(elem!1))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27644])).
% 4.64/4.82 tff(27646,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27642])).
% 4.64/4.82 tff(27647,plain,
% 4.64/4.82 ((~b(s(s(s(s(z)))), s(s(s(z))))) <=> (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27646])).
% 4.64/4.82 tff(27648,plain,
% 4.64/4.82 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27621, 27647])).
% 4.64/4.82 tff(27649,plain,
% 4.64/4.82 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27648, 27645])).
% 4.64/4.82 tff(27650,plain,
% 4.64/4.82 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27643])).
% 4.64/4.82 tff(27651,plain,
% 4.64/4.82 ((~r(s(s(s(s(z)))), elem!1)) <=> (~r(s(s(s(elem!1))), elem!1))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27650])).
% 4.64/4.82 tff(27652,plain,
% 4.64/4.82 (~r(s(s(s(s(z)))), elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[11382, 27639, 13914])).
% 4.64/4.82 tff(27653,plain,
% 4.64/4.82 (~r(s(s(s(elem!1))), elem!1)),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27652, 27651])).
% 4.64/4.82 tff(27654,plain,
% 4.64/4.82 (~(z = elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2752, 27640])).
% 4.64/4.82 tff(27655,plain,
% 4.64/4.82 (~(s(elem!1) = s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1912, 27654])).
% 4.64/4.82 tff(27656,plain,
% 4.64/4.82 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27630])).
% 4.64/4.82 tff(27657,plain,
% 4.64/4.82 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.64/4.82 inference(transitivity,[status(thm)],[27656, 1254])).
% 4.64/4.82 tff(27658,plain,
% 4.64/4.82 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27657])).
% 4.64/4.82 tff(27659,plain,
% 4.64/4.82 (~(s(s(s(elem!1))) = elem!1)),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[1263, 27658])).
% 4.64/4.82 tff(27660,plain,
% 4.64/4.82 (b(s(z), elem!1) <=> b(elem!1, elem!1)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27630])).
% 4.64/4.82 tff(27661,plain,
% 4.64/4.82 (b(elem!1, elem!1) <=> b(s(z), elem!1)),
% 4.64/4.82 inference(symmetry,[status(thm)],[27660])).
% 4.64/4.82 tff(27662,plain,
% 4.64/4.82 ((~b(elem!1, elem!1)) <=> (~b(s(z), elem!1))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27661])).
% 4.64/4.82 tff(27663,plain,
% 4.64/4.82 (~b(s(z), elem!1)),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[7551, 27662])).
% 4.64/4.82 tff(27664,plain,
% 4.64/4.82 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27643])).
% 4.64/4.82 tff(27665,plain,
% 4.64/4.82 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27664])).
% 4.64/4.82 tff(27666,plain,
% 4.64/4.82 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[62, 27665])).
% 4.64/4.82 tff(27667,plain,
% 4.64/4.82 (b(z, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[6637, 1318, 1270, 2581])).
% 4.64/4.82 tff(27668,plain,
% 4.64/4.82 (~(s(s(elem!1)) = elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[17488, 177, 27667])).
% 4.64/4.82 tff(27669,plain,
% 4.64/4.82 (~(elem!1 = s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2015, 27668])).
% 4.64/4.82 tff(27670,plain,
% 4.64/4.82 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[209, 27668])).
% 4.64/4.82 tff(27671,plain,
% 4.64/4.82 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[217, 27670])).
% 4.64/4.82 tff(27672,plain,
% 4.64/4.82 (~(s(s(elem!1)) = s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[224, 27671])).
% 4.64/4.82 tff(27673,plain,
% 4.64/4.82 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1280, 27672])).
% 4.64/4.82 tff(27674,plain,
% 4.64/4.82 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2611, 27673])).
% 4.64/4.82 tff(27675,plain,
% 4.64/4.82 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2619, 27674, 2581])).
% 4.64/4.82 tff(27676,plain,
% 4.64/4.82 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1292, 27673, 1270])).
% 4.64/4.82 tff(27677,plain,
% 4.64/4.82 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[209, 17489])).
% 4.64/4.82 tff(27678,plain,
% 4.64/4.82 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[217, 27677])).
% 4.64/4.82 tff(27679,plain,
% 4.64/4.82 (~(s(s(elem!1)) = s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[224, 27678])).
% 4.64/4.82 tff(27680,plain,
% 4.64/4.82 (~(s(elem!1) = s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1786, 27679])).
% 4.64/4.82 tff(27681,plain,
% 4.64/4.82 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[19763, 7031, 2257, 27679, 8722])).
% 4.64/4.82 tff(27682,plain,
% 4.64/4.82 (b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1515, 27681, 27677])).
% 4.64/4.82 tff(27683,plain,
% 4.64/4.82 (~b(z, s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2141, 1413, 2138])).
% 4.64/4.82 tff(27684,plain,
% 4.64/4.82 (r(z, s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[391, 27683])).
% 4.64/4.82 tff(27685,plain,
% 4.64/4.82 ((~b(z, elem!1)) <=> (~b(z, s(z)))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[2340])).
% 4.64/4.82 tff(27686,plain,
% 4.64/4.82 (~b(z, s(z))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[177, 27685])).
% 4.64/4.82 tff(27687,plain,
% 4.64/4.82 (r(z, s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[403, 27686])).
% 4.64/4.82 tff(27688,plain,
% 4.64/4.82 (~r(s(z), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[11465, 27687, 27684])).
% 4.64/4.82 tff(27689,plain,
% 4.64/4.82 (b(s(z), s(s(s(s(z)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[106, 27688])).
% 4.64/4.82 tff(27690,plain,
% 4.64/4.82 (b(elem!1, s(s(s(elem!1))))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27689, 11803])).
% 4.64/4.82 tff(27691,plain,
% 4.64/4.82 (~(s(elem!1) = elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[293, 17489])).
% 4.64/4.82 tff(27692,plain,
% 4.64/4.82 (~(elem!1 = s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[231, 27679])).
% 4.64/4.82 tff(27693,plain,
% 4.64/4.82 (~(elem!1 = s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2015, 17489])).
% 4.64/4.82 tff(27694,plain,
% 4.64/4.82 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1280, 27679])).
% 4.64/4.82 tff(27695,plain,
% 4.64/4.82 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2611, 27694])).
% 4.64/4.82 tff(27696,plain,
% 4.64/4.82 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[17319, 27690, 1294, 2636, 7031, 5341, 5253, 27695, 17489])).
% 4.64/4.82 tff(27697,plain,
% 4.64/4.82 (b(elem!1, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[321, 27696, 27693])).
% 4.64/4.82 tff(27698,plain,
% 4.64/4.82 (b(s(z), s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[13069, 27697, 749])).
% 4.64/4.82 tff(27699,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[749])).
% 4.64/4.82 tff(27700,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(z))),
% 4.64/4.82 inference(symmetry,[status(thm)],[27699])).
% 4.64/4.82 tff(27701,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.64/4.82 inference(monotonicity,[status(thm)],[1350])).
% 4.64/4.82 tff(27702,plain,
% 4.64/4.82 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.64/4.82 inference(symmetry,[status(thm)],[27701])).
% 4.64/4.82 tff(27703,plain,
% 4.64/4.82 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(s(z)))), s(z))),
% 4.64/4.82 inference(transitivity,[status(thm)],[27702, 27700])).
% 4.64/4.82 tff(27704,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[2636, 27703])).
% 4.64/4.82 tff(27705,plain,
% 4.64/4.82 (b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27682, 22630])).
% 4.64/4.82 tff(27706,plain,
% 4.64/4.82 (~r(z, s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18683, 27690, 27682, 2636, 27692, 27691, 5253])).
% 4.64/4.82 tff(27707,plain,
% 4.64/4.82 (b(z, s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1615, 27706])).
% 4.64/4.82 tff(27708,plain,
% 4.64/4.82 (~b(s(s(elem!1)), s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[17109, 27707, 8722, 27691, 27682, 19908, 5253, 27690])).
% 4.64/4.82 tff(27709,plain,
% 4.64/4.82 (r(s(s(elem!1)), s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[277, 27708, 27679])).
% 4.64/4.82 tff(27710,plain,
% 4.64/4.82 (~r(elem!1, s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[7117, 264, 254])).
% 4.64/4.82 tff(27711,plain,
% 4.64/4.82 (~r(s(z), s(s(z)))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27710, 11725])).
% 4.64/4.82 tff(27712,plain,
% 4.64/4.82 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[5897, 22619])).
% 4.64/4.82 tff(27713,plain,
% 4.64/4.82 (~b(s(z), s(s(z)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[5800, 27712, 2911, 600, 651])).
% 4.64/4.82 tff(27714,plain,
% 4.64/4.82 ($false),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[455, 27713, 27711])).
% 4.64/4.82 tff(27715,plain,((~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~(s(z) = elem!1)) | (s(s(s(elem!1))) = s(elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.82 tff(27716,plain,
% 4.64/4.82 (~r(s(s(elem!1)), elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27715, 27709, 27705, 27689, 749, 27678, 27704, 1294])).
% 4.64/4.82 tff(27717,plain,
% 4.64/4.82 (b(s(s(elem!1)), elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[327, 27716, 17489])).
% 4.64/4.82 tff(27718,plain,
% 4.64/4.82 (b(s(s(elem!1)), s(z))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27717, 11649])).
% 4.64/4.82 tff(27719,plain,
% 4.64/4.82 (~b(s(z), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[9063, 27718, 8722, 19908, 27698])).
% 4.64/4.82 tff(27720,plain,
% 4.64/4.82 (r(s(z), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[26, 27719])).
% 4.64/4.82 tff(27721,plain,
% 4.64/4.82 (r(elem!1, z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[867, 27720, 749])).
% 4.64/4.82 tff(27722,plain,
% 4.64/4.82 (~r(s(elem!1), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18982, 27721, 2636, 5253, 27692, 27691, 27690, 27682])).
% 4.64/4.82 tff(27723,plain,
% 4.64/4.82 (b(s(elem!1), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1812, 27722])).
% 4.64/4.82 tff(27724,plain,
% 4.64/4.82 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1329, 27694])).
% 4.64/4.82 tff(27725,plain,
% 4.64/4.82 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1490, 27678])).
% 4.64/4.82 tff(27726,plain,
% 4.64/4.82 (~b(s(s(s(s(elem!1)))), elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[19580, 27720, 27725, 8722, 27724, 1294, 27690, 2636, 749, 27697, 27717, 2257])).
% 4.64/4.82 tff(27727,plain,
% 4.64/4.82 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1593, 27726, 749])).
% 4.64/4.82 tff(27728,plain,
% 4.64/4.82 (r(s(s(s(s(elem!1)))), s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1585, 27727])).
% 4.64/4.82 tff(27729,plain,
% 4.64/4.82 (r(s(s(s(s(elem!1)))), elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2193, 27728, 749])).
% 4.64/4.82 tff(27730,plain,
% 4.64/4.82 (~r(s(s(s(s(elem!1)))), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2197, 82, 5253, 27729])).
% 4.64/4.82 tff(27731,plain,
% 4.64/4.82 (b(s(s(s(s(elem!1)))), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1638, 27730])).
% 4.64/4.82 tff(27732,plain,
% 4.64/4.82 (~r(z, s(s(s(s(elem!1)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[2205, 82, 5253, 27729])).
% 4.64/4.82 tff(27733,plain,
% 4.64/4.82 (b(z, s(s(s(s(elem!1)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1698, 27732])).
% 4.64/4.82 tff(27734,plain,
% 4.64/4.82 (~b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[11680, 27707, 27733, 27731, 27723])).
% 4.64/4.82 tff(27735,plain,
% 4.64/4.82 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1532, 21, 1482, 27734])).
% 4.64/4.82 tff(27736,plain,
% 4.64/4.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 4.64/4.82 inference(rewrite,[status(thm)],[])).
% 4.64/4.82 tff(27737,plain,
% 4.64/4.82 (((~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), z))) <=> ((~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 4.64/4.82 inference(rewrite,[status(thm)],[])).
% 4.64/4.82 tff(27738,plain,
% 4.64/4.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z)))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27737])).
% 4.64/4.82 tff(27739,plain,
% 4.64/4.82 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))))),
% 4.64/4.82 inference(transitivity,[status(thm)],[27738, 27736])).
% 4.64/4.82 tff(27740,plain,
% 4.64/4.82 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(s(s(elem!1)))), z)))),
% 4.64/4.82 inference(quant_inst,[status(thm)],[])).
% 4.64/4.82 tff(27741,plain,
% 4.64/4.82 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(elem!1)))), s(z)))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27740, 27739])).
% 4.64/4.82 tff(27742,plain,
% 4.64/4.82 (~r(s(s(s(s(elem!1)))), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27741, 82, 1520, 1731])).
% 4.64/4.82 tff(27743,plain,
% 4.64/4.82 (b(s(s(s(s(elem!1)))), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1638, 27742])).
% 4.64/4.82 tff(27744,plain,
% 4.64/4.82 (~r(z, s(s(s(s(elem!1)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[9873, 82, 1520, 1731])).
% 4.64/4.82 tff(27745,plain,
% 4.64/4.82 (b(z, s(s(s(s(elem!1)))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1698, 27744])).
% 4.64/4.82 tff(27746,plain,
% 4.64/4.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.64/4.82 inference(rewrite,[status(thm)],[])).
% 4.64/4.82 tff(27747,plain,
% 4.64/4.82 (((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.64/4.82 inference(rewrite,[status(thm)],[])).
% 4.64/4.82 tff(27748,plain,
% 4.64/4.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 4.64/4.82 inference(monotonicity,[status(thm)],[27747])).
% 4.64/4.82 tff(27749,plain,
% 4.64/4.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.64/4.82 inference(transitivity,[status(thm)],[27748, 27746])).
% 4.64/4.82 tff(27750,plain,
% 4.64/4.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.64/4.82 inference(quant_inst,[status(thm)],[])).
% 4.64/4.82 tff(27751,plain,
% 4.64/4.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 4.64/4.82 inference(modus_ponens,[status(thm)],[27750, 27749])).
% 4.64/4.82 tff(27752,plain,
% 4.64/4.82 ($false),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27751, 338, 8722, 27745, 878, 27743, 2301])).
% 4.64/4.82 tff(27753,plain,((~r(s(s(s(s(elem!1)))), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.82 tff(27754,plain,
% 4.64/4.82 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27753, 27728, 8722, 19908, 27687])).
% 4.64/4.82 tff(27755,plain,
% 4.64/4.82 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1651, 27754, 27725])).
% 4.64/4.82 tff(27756,plain,
% 4.64/4.82 (~r(s(elem!1), s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[11674, 27755, 27735])).
% 4.64/4.82 tff(27757,plain,
% 4.64/4.82 (b(s(elem!1), s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[3081, 27756, 27680])).
% 4.64/4.82 tff(27758,plain,
% 4.64/4.82 ($false),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[17255, 338, 8722, 27707, 19908, 27723, 27757])).
% 4.64/4.82 tff(27759,plain,((~(s(z) = elem!1)) | (~b(z, s(s(elem!1)))) | (s(elem!1) = s(s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | b(z, elem!1) | b(z, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.82 tff(27760,plain,
% 4.64/4.82 (~(s(z) = elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27759, 2138, 1482, 1294, 2636, 2257, 177, 8722])).
% 4.64/4.82 tff(27761,plain,
% 4.64/4.82 (r(s(z), elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[701, 27760, 1318])).
% 4.64/4.82 tff(27762,plain,
% 4.64/4.82 (~r(s(z), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[759, 6324, 754])).
% 4.64/4.82 tff(27763,plain,
% 4.64/4.82 (b(s(z), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[26, 27762])).
% 4.64/4.82 tff(27764,plain,
% 4.64/4.82 (~r(z, s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[3145, 6324, 754])).
% 4.64/4.82 tff(27765,plain,
% 4.64/4.82 (b(z, s(z))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[403, 27764])).
% 4.64/4.82 tff(27766,plain,
% 4.64/4.82 (b(s(s(elem!1)), elem!1)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[17495, 878, 177, 754, 8722])).
% 4.64/4.82 tff(27767,plain,
% 4.64/4.82 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[4436, 279, 1294])).
% 4.64/4.82 tff(27768,plain,
% 4.64/4.82 (~b(elem!1, s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[17319, 279, 1294, 2636, 1353, 719, 234, 7208, 207])).
% 4.64/4.82 tff(27769,plain,
% 4.64/4.82 ($false),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1946, 27768, 27767, 1939])).
% 4.64/4.82 tff(27770,plain,((~r(elem!1, s(s(elem!1)))) | (elem!1 = s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(z, s(s(s(elem!1))))) | (elem!1 = z) | (~r(z, elem!1)) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.82 tff(27771,plain,
% 4.64/4.82 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[27770, 1619, 1294, 2636, 1353, 1939, 6324, 17489])).
% 4.64/4.82 tff(27772,plain,
% 4.64/4.82 (b(elem!1, s(s(elem!1)))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[321, 27771, 27693])).
% 4.64/4.82 tff(27773,plain,
% 4.64/4.82 (~b(elem!1, z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[17364, 27772, 27766, 8722, 878])).
% 4.64/4.82 tff(27774,plain,
% 4.64/4.82 (r(elem!1, z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[846, 27773, 1619])).
% 4.64/4.82 tff(27775,plain,
% 4.64/4.82 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[6371, 27774, 1353])).
% 4.64/4.82 tff(27776,plain,
% 4.64/4.82 (b(elem!1, s(s(s(elem!1))))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1946, 27775, 1939])).
% 4.64/4.82 tff(27777,plain,
% 4.64/4.82 (~r(z, s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18683, 27776, 1564, 2636, 27692, 27691, 6324])).
% 4.64/4.82 tff(27778,plain,
% 4.64/4.82 (b(z, s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1615, 27777])).
% 4.64/4.82 tff(27779,plain,
% 4.64/4.82 (~b(s(s(elem!1)), s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[17109, 27778, 8722, 27691, 1564, 878, 6324, 27776])).
% 4.64/4.82 tff(27780,plain,
% 4.64/4.82 (r(s(s(elem!1)), s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[277, 27779, 27679])).
% 4.64/4.82 tff(27781,plain,
% 4.64/4.82 (~r(s(elem!1), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[18982, 27776, 2636, 6324, 27692, 27691, 27774, 1564])).
% 4.64/4.82 tff(27782,plain,
% 4.64/4.82 (b(s(elem!1), z)),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[1812, 27781])).
% 4.64/4.82 tff(27783,plain,
% 4.64/4.82 (~b(s(z), s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[4302, 27782, 27763, 27765, 27778])).
% 4.64/4.82 tff(27784,plain,
% 4.64/4.82 (r(s(z), s(elem!1))),
% 4.64/4.82 inference(unit_resolution,[status(thm)],[3066, 27783, 4321])).
% 4.64/4.82 tff(27785,plain,
% 4.64/4.82 (~r(s(z), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[8352, 27784, 27780])).
% 4.64/4.83 tff(27786,plain,
% 4.64/4.83 (b(s(z), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[743, 27785])).
% 4.64/4.83 tff(27787,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17198, 338, 8722, 878, 27786, 27765, 27763])).
% 4.64/4.83 tff(27788,plain,((z = elem!1) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (elem!1 = s(s(s(elem!1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), elem!1)) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(27789,plain,
% 4.64/4.83 (z = elem!1),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27788, 19908, 8722, 27682, 2636, 1939, 7031, 1294, 27761, 177])).
% 4.64/4.83 tff(27790,plain,
% 4.64/4.83 (s(z) = s(elem!1)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27789])).
% 4.64/4.83 tff(27791,plain,
% 4.64/4.83 (s(s(z)) = s(s(elem!1))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27790])).
% 4.64/4.83 tff(27792,plain,
% 4.64/4.83 (s(s(s(z))) = s(s(s(elem!1)))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27791])).
% 4.64/4.83 tff(27793,plain,
% 4.64/4.83 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27792])).
% 4.64/4.83 tff(27794,plain,
% 4.64/4.83 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27792])).
% 4.64/4.83 tff(27795,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(s(s(s(z))))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27794])).
% 4.64/4.83 tff(27796,plain,
% 4.64/4.83 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27792])).
% 4.64/4.83 tff(27797,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(s(s(s(z))))) <=> r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27796])).
% 4.64/4.83 tff(27798,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27797])).
% 4.64/4.83 tff(27799,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27798, 27795])).
% 4.64/4.83 tff(27800,plain,
% 4.64/4.83 ((~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))) <=> (~r(s(s(s(z))), s(s(s(s(z))))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27799])).
% 4.64/4.83 tff(27801,plain,
% 4.64/4.83 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27796])).
% 4.64/4.83 tff(27802,plain,
% 4.64/4.83 (r(s(s(s(s(elem!1)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27801])).
% 4.64/4.83 tff(27803,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27802])).
% 4.64/4.83 tff(27804,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27791])).
% 4.64/4.83 tff(27805,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27804, 27803])).
% 4.64/4.83 tff(27806,plain,
% 4.64/4.83 (elem!1 = z),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2752, 27789])).
% 4.64/4.83 tff(27807,plain,
% 4.64/4.83 (~b(s(z), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[3104, 27806, 1318])).
% 4.64/4.83 tff(27808,plain,
% 4.64/4.83 (r(s(z), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[26, 27807])).
% 4.64/4.83 tff(27809,plain,
% 4.64/4.83 (~r(s(z), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5440, 27808, 7031])).
% 4.64/4.83 tff(27810,plain,
% 4.64/4.83 (b(s(z), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1870, 27809])).
% 4.64/4.83 tff(27811,plain,
% 4.64/4.83 (b(s(z), s(s(s(z)))) <=> b(s(elem!1), s(s(s(z))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27790])).
% 4.64/4.83 tff(27812,plain,
% 4.64/4.83 (b(s(elem!1), s(s(s(z)))) <=> b(s(z), s(s(s(z))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27811])).
% 4.64/4.83 tff(27813,plain,
% 4.64/4.83 (b(s(elem!1), s(s(s(z)))) <=> b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27792])).
% 4.64/4.83 tff(27814,plain,
% 4.64/4.83 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(elem!1), s(s(s(z))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27813])).
% 4.64/4.83 tff(27815,plain,
% 4.64/4.83 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(z), s(s(s(z))))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27814, 27812])).
% 4.64/4.83 tff(27816,plain,
% 4.64/4.83 (b(s(z), s(s(s(z))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27682, 27815])).
% 4.64/4.83 tff(27817,plain,
% 4.64/4.83 (r(z, s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27789])).
% 4.64/4.83 tff(27818,plain,
% 4.64/4.83 (r(elem!1, s(s(s(z)))) <=> r(z, s(s(s(z))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27817])).
% 4.64/4.83 tff(27819,plain,
% 4.64/4.83 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27792])).
% 4.64/4.83 tff(27820,plain,
% 4.64/4.83 (r(elem!1, s(s(s(elem!1)))) <=> r(elem!1, s(s(s(z))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27819])).
% 4.64/4.83 tff(27821,plain,
% 4.64/4.83 (r(elem!1, s(s(s(elem!1)))) <=> r(z, s(s(s(z))))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27820, 27818])).
% 4.64/4.83 tff(27822,plain,
% 4.64/4.83 (r(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[6626, 27806, 7031])).
% 4.64/4.83 tff(27823,plain,
% 4.64/4.83 (r(z, s(s(s(z))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27822, 27821])).
% 4.64/4.83 tff(27824,plain,
% 4.64/4.83 (r(s(s(z)), s(s(s(z)))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27791, 27792])).
% 4.64/4.83 tff(27825,plain,
% 4.64/4.83 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(z)), s(s(s(z))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27824])).
% 4.64/4.83 tff(27826,plain,
% 4.64/4.83 (r(s(s(z)), s(s(s(z))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[2257, 27825])).
% 4.64/4.83 tff(27827,plain,
% 4.64/4.83 (r(s(s(s(s(elem!1)))), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.64/4.83 inference(symmetry,[status(thm)],[7368])).
% 4.64/4.83 tff(27828,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), elem!1)),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[7373, 27827])).
% 4.64/4.83 tff(27829,plain,
% 4.64/4.83 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[3417, 27828, 754])).
% 4.64/4.83 tff(27830,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[119, 27829])).
% 4.64/4.83 tff(27831,plain,
% 4.64/4.83 (~b(s(s(s(z))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5079, 27830, 457, 7761, 11566])).
% 4.64/4.83 tff(27832,plain,
% 4.64/4.83 (r(s(s(s(z))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[437, 27831])).
% 4.64/4.83 tff(27833,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27832, 23042])).
% 4.64/4.83 tff(27834,plain,
% 4.64/4.83 (~r(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2048, 27833, 1294])).
% 4.64/4.83 tff(27835,plain,
% 4.64/4.83 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[277, 27834, 229])).
% 4.64/4.83 tff(27836,plain,
% 4.64/4.83 (b(s(s(z)), s(z))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27835, 4466])).
% 4.64/4.83 tff(27837,plain,
% 4.64/4.83 (~r(z, s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2890, 27832, 164])).
% 4.64/4.83 tff(27838,plain,
% 4.64/4.83 (b(z, s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[403, 27837])).
% 4.64/4.83 tff(27839,plain,
% 4.64/4.83 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(z)))),
% 4.64/4.83 inference(transitivity,[status(thm)],[22909, 5789])).
% 4.64/4.83 tff(27840,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[7761, 2828])).
% 4.64/4.83 tff(27841,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17704, 4808, 4810, 5431, 1880, 3771])).
% 4.64/4.83 tff(27842,plain,((~r(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(27843,plain,
% 4.64/4.83 (~b(s(s(s(elem!1))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27842, 27840, 1880, 754, 27828])).
% 4.64/4.83 tff(27844,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1990, 27843])).
% 4.64/4.83 tff(27845,plain,
% 4.64/4.83 (~r(s(z), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[4215, 27844, 1294])).
% 4.64/4.83 tff(27846,plain,
% 4.64/4.83 (b(s(z), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[743, 27845])).
% 4.64/4.83 tff(27847,plain,
% 4.64/4.83 (b(s(z), s(s(z)))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27846, 27839])).
% 4.64/4.83 tff(27848,plain,
% 4.64/4.83 (~b(s(s(z)), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[521, 27847, 487, 164, 27838])).
% 4.64/4.83 tff(27849,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27848, 27836])).
% 4.64/4.83 tff(27850,plain,((~r(s(s(s(s(z)))), z)) | (~(z = elem!1)) | (s(s(elem!1)) = s(elem!1)) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(elem!1))))) | (~r(s(z), elem!1)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(27851,plain,
% 4.64/4.83 (~r(s(s(s(s(z)))), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27850, 27789, 27679, 27826, 27823, 1294, 27816, 27810, 27761, 27808])).
% 4.64/4.83 tff(27852,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[127, 27851])).
% 4.64/4.83 tff(27853,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), s(z)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27790])).
% 4.64/4.83 tff(27854,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(z))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27853])).
% 4.64/4.83 tff(27855,plain,
% 4.64/4.83 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2856, 27852, 27789])).
% 4.64/4.83 tff(27856,plain,
% 4.64/4.83 (b(s(z), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27790])).
% 4.64/4.83 tff(27857,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27792])).
% 4.64/4.83 tff(27858,plain,
% 4.64/4.83 (b(s(s(elem!1)), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17495, 19908, 177, 27761, 8722])).
% 4.64/4.83 tff(27859,plain,
% 4.64/4.83 (b(elem!1, s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[9178, 27806, 8722])).
% 4.64/4.83 tff(27860,plain,
% 4.64/4.83 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2279, 27855, 27859, 27858, 27725, 2257])).
% 4.64/4.83 tff(27861,plain,
% 4.64/4.83 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5747, 27860, 27789])).
% 4.64/4.83 tff(27862,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1011, 27861])).
% 4.64/4.83 tff(27863,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27862, 27857])).
% 4.64/4.83 tff(27864,plain,
% 4.64/4.83 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 4.64/4.83 inference(transitivity,[status(thm)],[7500, 7675])).
% 4.64/4.83 tff(27865,plain,
% 4.64/4.83 (r(s(z), s(s(z)))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[721, 27864])).
% 4.64/4.83 tff(27866,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1990, 19680])).
% 4.64/4.83 tff(27867,plain,
% 4.64/4.83 (~r(s(z), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[26071, 27865, 164, 175, 487, 405])).
% 4.64/4.83 tff(27868,plain,
% 4.64/4.83 (b(s(z), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[106, 27867])).
% 4.64/4.83 tff(27869,plain,
% 4.64/4.83 (~b(s(s(s(s(z)))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17704, 27868, 1880, 3771, 27866])).
% 4.64/4.83 tff(27870,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[119, 27869])).
% 4.64/4.83 tff(27871,plain,
% 4.64/4.83 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[113, 27870, 27865])).
% 4.64/4.83 tff(27872,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[68, 27871])).
% 4.64/4.83 tff(27873,plain,
% 4.64/4.83 (~b(z, s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[572, 27872, 487, 164, 175])).
% 4.64/4.83 tff(27874,plain,
% 4.64/4.83 (r(z, s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[391, 27873])).
% 4.64/4.83 tff(27875,plain,
% 4.64/4.83 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[919, 27874, 164])).
% 4.64/4.83 tff(27876,plain,
% 4.64/4.83 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[689, 27875])).
% 4.64/4.83 tff(27877,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27876, 4463])).
% 4.64/4.83 tff(27878,plain,
% 4.64/4.83 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[8458, 27868, 1880, 3771, 27866])).
% 4.64/4.83 tff(27879,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27878, 27877])).
% 4.64/4.83 tff(27880,plain,((~r(s(z), s(s(elem!1)))) | (~(z = elem!1)) | (~r(z, s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~r(s(z), z)) | (~r(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(27881,plain,
% 4.64/4.83 (~r(s(z), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27880, 27789, 27823, 27826, 27852, 27810, 27863, 27808, 1294])).
% 4.64/4.83 tff(27882,plain,
% 4.64/4.83 (b(s(z), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[743, 27881])).
% 4.64/4.83 tff(27883,plain,
% 4.64/4.83 (b(s(elem!1), s(s(elem!1)))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27882, 27856])).
% 4.64/4.83 tff(27884,plain,
% 4.64/4.83 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1562, 27860, 27724])).
% 4.64/4.83 tff(27885,plain,
% 4.64/4.83 (~b(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5335, 338, 2636, 27859, 27884, 27883, 27855])).
% 4.64/4.83 tff(27886,plain,
% 4.64/4.83 (r(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[252, 27885, 27692])).
% 4.64/4.83 tff(27887,plain,
% 4.64/4.83 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1966, 27886, 27822])).
% 4.64/4.83 tff(27888,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1971, 27887, 27678])).
% 4.64/4.83 tff(27889,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), s(z))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27888, 27854])).
% 4.64/4.83 tff(27890,plain,
% 4.64/4.83 (r(z, s(z)) <=> r(elem!1, s(z))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27789])).
% 4.64/4.83 tff(27891,plain,
% 4.64/4.83 (r(elem!1, s(z)) <=> r(z, s(z))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27890])).
% 4.64/4.83 tff(27892,plain,
% 4.64/4.83 (r(elem!1, s(z)) <=> r(elem!1, s(elem!1))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27790])).
% 4.64/4.83 tff(27893,plain,
% 4.64/4.83 (r(elem!1, s(elem!1)) <=> r(elem!1, s(z))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27892])).
% 4.64/4.83 tff(27894,plain,
% 4.64/4.83 (r(elem!1, s(elem!1)) <=> r(z, s(z))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27893, 27891])).
% 4.64/4.83 tff(27895,plain,
% 4.64/4.83 (r(z, s(z))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27886, 27894])).
% 4.64/4.83 tff(27896,plain,
% 4.64/4.83 (~b(s(z), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17724, 27789, 1294, 27826, 27823, 27852, 27895, 27810, 27863, 27889])).
% 4.64/4.83 tff(27897,plain,
% 4.64/4.83 (r(s(z), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[106, 27896])).
% 4.64/4.83 tff(27898,plain,
% 4.64/4.83 (~r(z, s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[552, 27897, 27808])).
% 4.64/4.83 tff(27899,plain,
% 4.64/4.83 (b(z, s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[391, 27898])).
% 4.64/4.83 tff(27900,plain,
% 4.64/4.83 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[572, 27899, 27826, 27823, 27852])).
% 4.64/4.83 tff(27901,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[68, 27900])).
% 4.64/4.83 tff(27902,plain,
% 4.64/4.83 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27901, 27805])).
% 4.64/4.83 tff(27903,plain,
% 4.64/4.83 (~r(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17717, 82, 1294, 27902])).
% 4.64/4.83 tff(27904,plain,
% 4.64/4.83 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27903, 27800])).
% 4.64/4.83 tff(27905,plain,
% 4.64/4.83 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[689, 27904])).
% 4.64/4.83 tff(27906,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27905, 27793])).
% 4.64/4.83 tff(27907,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[4391, 27852, 27789])).
% 4.64/4.83 tff(27908,plain,
% 4.64/4.83 ((s(s(s(s(z)))) = z) <=> (s(s(s(s(z)))) = elem!1)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27789])).
% 4.64/4.83 tff(27909,plain,
% 4.64/4.83 ((s(s(s(s(z)))) = z) <=> (elem!1 = s(s(s(s(z)))))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27908, 139])).
% 4.64/4.83 tff(27910,plain,
% 4.64/4.83 ((~(s(s(s(s(z)))) = z)) <=> (~(elem!1 = s(s(s(s(z))))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27909])).
% 4.64/4.83 tff(27911,plain,
% 4.64/4.83 (~(elem!1 = s(s(s(s(z)))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[123, 27910])).
% 4.64/4.83 tff(27912,plain,
% 4.64/4.83 (~r(elem!1, s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[3247, 27897, 27761])).
% 4.64/4.83 tff(27913,plain,
% 4.64/4.83 (b(elem!1, s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1094, 27912, 27911])).
% 4.64/4.83 tff(27914,plain,
% 4.64/4.83 (~b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[13733, 27913, 2636, 27863, 27907])).
% 4.64/4.83 tff(27915,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27914, 27906])).
% 4.64/4.83 tff(27916,plain,(b(z, s(s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | b(s(z), elem!1) | (elem!1 = s(s(s(elem!1)))) | b(z, elem!1) | (s(elem!1) = s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(27917,plain,
% 4.64/4.83 (b(z, s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27916, 17327, 27676, 27675, 27667, 1318, 1925, 177, 1337])).
% 4.64/4.83 tff(27918,plain,
% 4.64/4.83 (~r(s(s(elem!1)), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2552, 17490, 234])).
% 4.64/4.83 tff(27919,plain,
% 4.64/4.83 (b(s(s(elem!1)), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[800, 27918])).
% 4.64/4.83 tff(27920,plain,
% 4.64/4.83 (~r(s(z), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17495, 27919, 177, 3306, 8722])).
% 4.64/4.83 tff(27921,plain,
% 4.64/4.83 (s(z) = elem!1),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[701, 27920, 1318])).
% 4.64/4.83 tff(27922,plain,
% 4.64/4.83 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[6487, 17490, 2257])).
% 4.64/4.83 tff(27923,plain,
% 4.64/4.83 (b(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1946, 27922, 1939])).
% 4.64/4.83 tff(27924,plain,
% 4.64/4.83 (s(s(z)) = s(elem!1)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27921])).
% 4.64/4.83 tff(27925,plain,
% 4.64/4.83 (r(elem!1, s(s(z))) <=> r(elem!1, s(elem!1))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27924])).
% 4.64/4.83 tff(27926,plain,
% 4.64/4.83 (r(s(z), s(s(z))) <=> r(elem!1, s(s(z)))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27921])).
% 4.64/4.83 tff(27927,plain,
% 4.64/4.83 (r(s(z), s(s(z))) <=> r(elem!1, s(elem!1))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27926, 27925])).
% 4.64/4.83 tff(27928,plain,
% 4.64/4.83 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27921])).
% 4.64/4.83 tff(27929,plain,
% 4.64/4.83 (b(elem!1, s(s(s(s(z))))) <=> b(s(z), s(s(s(s(z)))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27928])).
% 4.64/4.83 tff(27930,plain,
% 4.64/4.83 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27924])).
% 4.64/4.83 tff(27931,plain,
% 4.64/4.83 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27930])).
% 4.64/4.83 tff(27932,plain,
% 4.64/4.83 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27931])).
% 4.64/4.83 tff(27933,plain,
% 4.64/4.83 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27932])).
% 4.64/4.83 tff(27934,plain,
% 4.64/4.83 (b(elem!1, s(s(s(elem!1)))) <=> b(s(z), s(s(s(s(z)))))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27933, 27929])).
% 4.64/4.83 tff(27935,plain,
% 4.64/4.83 (b(s(z), s(s(s(s(z)))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27923, 27934])).
% 4.64/4.83 tff(27936,plain,
% 4.64/4.83 (r(z, s(z)) <=> r(z, elem!1)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27921])).
% 4.64/4.83 tff(27937,plain,
% 4.64/4.83 (r(z, elem!1) <=> r(z, s(z))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27936])).
% 4.64/4.83 tff(27938,plain,
% 4.64/4.83 (r(z, s(z))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[234, 27937])).
% 4.64/4.83 tff(27939,plain,
% 4.64/4.83 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27921])).
% 4.64/4.83 tff(27940,plain,
% 4.64/4.83 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), s(z))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27939])).
% 4.64/4.83 tff(27941,plain,
% 4.64/4.83 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27930])).
% 4.64/4.83 tff(27942,plain,
% 4.64/4.83 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(z))), elem!1)),
% 4.64/4.83 inference(symmetry,[status(thm)],[27941])).
% 4.64/4.83 tff(27943,plain,
% 4.64/4.83 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(z))), s(z))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27942, 27940])).
% 4.64/4.83 tff(27944,plain,
% 4.64/4.83 (r(s(s(s(z))), s(z))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[17490, 27943])).
% 4.64/4.83 tff(27945,plain,
% 4.64/4.83 (b(s(s(s(z))), z) <=> b(s(s(elem!1)), z)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27930])).
% 4.64/4.83 tff(27946,plain,
% 4.64/4.83 (b(s(s(elem!1)), z) <=> b(s(s(s(z))), z)),
% 4.64/4.83 inference(symmetry,[status(thm)],[27945])).
% 4.64/4.83 tff(27947,plain,
% 4.64/4.83 (b(s(s(s(z))), z)),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27919, 27946])).
% 4.64/4.83 tff(27948,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27930])).
% 4.64/4.83 tff(27949,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27948])).
% 4.64/4.83 tff(27950,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27931])).
% 4.64/4.83 tff(27951,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.83 inference(symmetry,[status(thm)],[27950])).
% 4.64/4.83 tff(27952,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27951, 27949])).
% 4.64/4.83 tff(27953,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[1294, 27952])).
% 4.64/4.83 tff(27954,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), z) <=> b(s(s(s(elem!1))), z)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27931])).
% 4.64/4.83 tff(27955,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), z) <=> b(s(s(s(s(z)))), z)),
% 4.64/4.83 inference(symmetry,[status(thm)],[27954])).
% 4.64/4.83 tff(27956,plain,
% 4.64/4.83 ((~b(s(s(s(elem!1))), z)) <=> (~b(s(s(s(s(z)))), z))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27955])).
% 4.64/4.83 tff(27957,plain,
% 4.64/4.83 (b(s(z), z) <=> b(elem!1, z)),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27921])).
% 4.64/4.83 tff(27958,plain,
% 4.64/4.83 (b(elem!1, z)),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[1740, 27957])).
% 4.64/4.83 tff(27959,plain,
% 4.64/4.83 (~b(s(s(s(elem!1))), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5201, 27958, 2636, 1595, 27923])).
% 4.64/4.83 tff(27960,plain,
% 4.64/4.83 (~b(s(s(s(s(z)))), z)),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27959, 27956])).
% 4.64/4.83 tff(27961,plain,
% 4.64/4.83 (r(s(s(s(s(z)))), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[127, 27960])).
% 4.64/4.83 tff(27962,plain,
% 4.64/4.83 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5636, 27961, 27953, 27947])).
% 4.64/4.83 tff(27963,plain,
% 4.64/4.83 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[68, 27962])).
% 4.64/4.83 tff(27964,plain,
% 4.64/4.83 (~b(s(z), s(s(z)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2939, 27963, 27944, 27938, 27935])).
% 4.64/4.83 tff(27965,plain,
% 4.64/4.83 (r(s(z), s(s(z)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[455, 27964])).
% 4.64/4.83 tff(27966,plain,
% 4.64/4.83 (r(elem!1, s(elem!1))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27965, 27927])).
% 4.64/4.83 tff(27967,plain,
% 4.64/4.83 (~r(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[7117, 27966, 17490])).
% 4.64/4.83 tff(27968,plain,
% 4.64/4.83 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[277, 27967, 27679])).
% 4.64/4.83 tff(27969,plain,
% 4.64/4.83 (~r(z, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[243, 27966, 234])).
% 4.64/4.83 tff(27970,plain,
% 4.64/4.83 (b(z, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1615, 27969])).
% 4.64/4.83 tff(27971,plain,
% 4.64/4.83 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17109, 27970, 8722, 27691, 234, 27919, 27968, 27923])).
% 4.64/4.83 tff(27972,plain,
% 4.64/4.83 (r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1515, 27971, 27677])).
% 4.64/4.83 tff(27973,plain,
% 4.64/4.83 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5400, 27972, 27921, 1294])).
% 4.64/4.83 tff(27974,plain,
% 4.64/4.83 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[534, 27973])).
% 4.64/4.83 tff(27975,plain,
% 4.64/4.83 (b(s(elem!1), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[6759, 27974, 27921])).
% 4.64/4.83 tff(27976,plain,
% 4.64/4.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.64/4.83 inference(rewrite,[status(thm)],[])).
% 4.64/4.83 tff(27977,plain,
% 4.64/4.83 (((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1)))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.64/4.83 inference(rewrite,[status(thm)],[])).
% 4.64/4.83 tff(27978,plain,
% 4.64/4.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.64/4.83 inference(monotonicity,[status(thm)],[27977])).
% 4.64/4.83 tff(27979,plain,
% 4.64/4.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.64/4.83 inference(transitivity,[status(thm)],[27978, 27976])).
% 4.64/4.83 tff(27980,plain,
% 4.64/4.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))))),
% 4.64/4.83 inference(quant_inst,[status(thm)],[])).
% 4.64/4.83 tff(27981,plain,
% 4.64/4.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.64/4.83 inference(modus_ponens,[status(thm)],[27980, 27979])).
% 4.64/4.83 tff(27982,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27981, 338, 8722, 27970, 27968, 27919, 27975])).
% 4.64/4.83 tff(27983,plain,(b(s(s(elem!1)), elem!1) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | b(s(z), elem!1) | b(z, elem!1) | (elem!1 = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(27984,plain,
% 4.64/4.83 (b(s(s(elem!1)), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27983, 1740, 27676, 234, 17327, 27917, 27667, 1318, 177, 1925, 27675])).
% 4.64/4.83 tff(27985,plain,
% 4.64/4.83 (b(z, s(z))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[403, 17200])).
% 4.64/4.83 tff(27986,plain,
% 4.64/4.83 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2619, 7208, 2581])).
% 4.64/4.83 tff(27987,plain,
% 4.64/4.83 (~r(s(s(s(elem!1))), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[14225, 1950, 1595, 207, 234, 719, 1271])).
% 4.64/4.83 tff(27988,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1387, 27987])).
% 4.64/4.83 tff(27989,plain,
% 4.64/4.83 (~r(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5192, 802, 1740, 27985, 1949, 754])).
% 4.64/4.83 tff(27990,plain,
% 4.64/4.83 (b(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[252, 27989, 7156])).
% 4.64/4.83 tff(27991,plain,
% 4.64/4.83 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[20734, 27990, 8722, 137, 2257, 317, 323, 234, 1597])).
% 4.64/4.83 tff(27992,plain,
% 4.64/4.83 (b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1515, 27991, 215])).
% 4.64/4.83 tff(27993,plain,
% 4.64/4.83 (~b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1605, 27992, 1595, 1596, 1597])).
% 4.64/4.83 tff(27994,plain,
% 4.64/4.83 (r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1971, 27993, 1962])).
% 4.64/4.83 tff(27995,plain,
% 4.64/4.83 (~r(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2048, 27994, 1294])).
% 4.64/4.83 tff(27996,plain,
% 4.64/4.83 (~b(s(elem!1), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[6306, 27992, 1595, 27990, 1597, 2257, 1962, 1596, 763])).
% 4.64/4.83 tff(27997,plain,
% 4.64/4.83 (r(s(elem!1), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1812, 27996])).
% 4.64/4.83 tff(27998,plain,
% 4.64/4.83 (~b(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[9750, 27997, 137, 234, 317, 802, 323])).
% 4.64/4.83 tff(27999,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[277, 27998, 27995, 7154])).
% 4.64/4.83 tff(28000,plain,((~r(elem!1, z)) | (elem!1 = s(s(elem!1))) | (~r(z, elem!1)) | r(elem!1, s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (s(z) = s(elem!1)) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(28001,plain,
% 4.64/4.83 (~r(elem!1, z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[28000, 1597, 234, 19718, 19719, 1294, 1595, 137, 2257, 1596, 763, 215, 8722, 1740, 1949, 754])).
% 4.64/4.83 tff(28002,plain,
% 4.64/4.83 (b(elem!1, z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[846, 28001, 719])).
% 4.64/4.83 tff(28003,plain,
% 4.64/4.83 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27265, 315, 1595, 234, 2636, 306, 1597, 1131])).
% 4.64/4.83 tff(28004,plain,
% 4.64/4.83 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[20734, 315, 8722, 137, 2257, 317, 323, 234, 1597])).
% 4.64/4.83 tff(28005,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1515, 28004, 28003, 215])).
% 4.64/4.83 tff(28006,plain,((~b(elem!1, s(elem!1))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | r(elem!1, s(s(elem!1))) | r(s(s(elem!1)), elem!1) | (~r(z, elem!1)) | (~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = elem!1) | (~b(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(28007,plain,
% 4.64/4.83 (~b(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[28006, 1597, 8722, 137, 2257, 19718, 19719, 234, 215, 1595, 2636, 306, 28002])).
% 4.64/4.83 tff(28008,plain,
% 4.64/4.83 (r(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[252, 28007, 7156])).
% 4.64/4.83 tff(28009,plain,
% 4.64/4.83 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1966, 28008, 1950])).
% 4.64/4.83 tff(28010,plain,
% 4.64/4.83 (b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1971, 28009, 1962])).
% 4.64/4.83 tff(28011,plain,
% 4.64/4.83 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1959, 28008, 1950])).
% 4.64/4.83 tff(28012,plain,
% 4.64/4.83 (b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1515, 28011, 215])).
% 4.64/4.83 tff(28013,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1605, 28012, 28010, 1595, 1596, 1597])).
% 4.64/4.83 tff(28014,plain,((~b(z, s(elem!1))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = elem!1) | (elem!1 = z) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), z)) | (s(z) = s(elem!1)) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(28015,plain,
% 4.64/4.83 (~b(z, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[28014, 27988, 1595, 5948, 1950, 8722, 14151, 27986, 234, 17327, 7150, 719, 27234, 763, 1740, 1949, 754])).
% 4.64/4.83 tff(28016,plain,
% 4.64/4.83 (r(z, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1615, 28015])).
% 4.64/4.83 tff(28017,plain,
% 4.64/4.83 (~r(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[243, 28016, 234])).
% 4.64/4.83 tff(28018,plain,
% 4.64/4.83 (b(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[252, 28017, 14143])).
% 4.64/4.83 tff(28019,plain,
% 4.64/4.83 (~r(s(s(elem!1)), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[6487, 1950, 27986])).
% 4.64/4.83 tff(28020,plain,
% 4.64/4.83 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[4436, 1950, 27234])).
% 4.64/4.83 tff(28021,plain,
% 4.64/4.83 (~r(s(elem!1), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[303, 28016, 234])).
% 4.64/4.83 tff(28022,plain,
% 4.64/4.83 (b(s(elem!1), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[312, 28021, 7150])).
% 4.64/4.83 tff(28023,plain,
% 4.64/4.83 (~b(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[346, 28022, 28020, 14151, 28019, 28018])).
% 4.64/4.83 tff(28024,plain,
% 4.64/4.83 (r(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[277, 28023, 7148])).
% 4.64/4.83 tff(28025,plain,
% 4.64/4.83 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2048, 28024, 27234])).
% 4.64/4.83 tff(28026,plain,
% 4.64/4.83 (b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2643, 28023, 1271, 2581, 1270, 2582])).
% 4.64/4.83 tff(28027,plain,
% 4.64/4.83 (~b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[27239, 28026, 17327, 28016, 14143, 7150, 234])).
% 4.64/4.83 tff(28028,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1971, 28027, 28025, 5949])).
% 4.64/4.83 tff(28029,plain,((~r(elem!1, s(s(s(elem!1))))) | (~r(z, elem!1)) | (s(s(s(elem!1))) = elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), z)) | (s(z) = s(elem!1)) | (~r(s(z), elem!1)) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(28030,plain,
% 4.64/4.83 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[28029, 754, 1271, 2581, 1270, 2582, 1595, 8722, 719, 763, 1740, 1949, 234, 207])).
% 4.64/4.83 tff(28031,plain,
% 4.64/4.83 (b(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1946, 28030, 1925])).
% 4.64/4.83 tff(28032,plain,
% 4.64/4.83 (r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1515, 2606, 5948])).
% 4.64/4.83 tff(28033,plain,
% 4.64/4.83 (~r(s(elem!1), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[19628, 82, 28032, 27986])).
% 4.64/4.83 tff(28034,plain,
% 4.64/4.83 (b(s(elem!1), s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[3081, 28033, 9321])).
% 4.64/4.83 tff(28035,plain,
% 4.64/4.83 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[2643, 2606, 1271, 2581, 1270, 2582])).
% 4.64/4.83 tff(28036,plain,
% 4.64/4.83 ($false),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[9332, 4294, 4292, 8722, 3079, 316, 1788])).
% 4.64/4.83 tff(28037,plain,((~r(s(elem!1), elem!1)) | (~b(z, s(s(elem!1)))) | r(s(elem!1), s(s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(s(elem!1))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.83 tff(28038,plain,
% 4.64/4.83 (~r(s(elem!1), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[28037, 28033, 28035, 8722, 9321, 234])).
% 4.64/4.83 tff(28039,plain,
% 4.64/4.83 (b(s(elem!1), elem!1)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[312, 28038, 7150])).
% 4.64/4.83 tff(28040,plain,
% 4.64/4.83 (~b(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[8191, 28039, 763, 28035, 28034])).
% 4.64/4.83 tff(28041,plain,
% 4.64/4.83 (r(elem!1, s(elem!1))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[252, 28040, 14143])).
% 4.64/4.83 tff(28042,plain,
% 4.64/4.83 (~r(elem!1, z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5192, 28041, 1740, 27985, 1949, 754])).
% 4.64/4.83 tff(28043,plain,
% 4.64/4.83 (b(elem!1, z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[846, 28042, 719])).
% 4.64/4.83 tff(28044,plain,
% 4.64/4.83 (~b(s(s(s(elem!1))), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[5201, 28043, 17327, 1595, 28031])).
% 4.64/4.83 tff(28045,plain,
% 4.64/4.83 (~r(s(s(elem!1)), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[8977, 1301, 27234])).
% 4.64/4.83 tff(28046,plain,
% 4.64/4.83 (b(s(s(elem!1)), z)),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[800, 28045])).
% 4.64/4.83 tff(28047,plain,
% 4.64/4.83 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[14222, 1301, 1595, 207, 234, 1131, 1271])).
% 4.64/4.83 tff(28048,plain,
% 4.64/4.83 (b(elem!1, s(s(s(elem!1))))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[1946, 28047, 1925])).
% 4.64/4.83 tff(28049,plain,
% 4.64/4.83 (~b(elem!1, s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[17364, 28046, 763, 8722, 1131])).
% 4.64/4.83 tff(28050,plain,
% 4.64/4.83 (r(elem!1, s(s(elem!1)))),
% 4.64/4.83 inference(unit_resolution,[status(thm)],[321, 28049, 14151])).
% 4.64/4.83 tff(28051,plain,
% 4.64/4.83 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[17123, 28050, 1301, 7150, 5949, 234, 28048, 17327, 27234])).
% 4.64/4.84 tff(28052,plain,
% 4.64/4.84 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[2643, 28051, 1271, 2581, 1270, 2582])).
% 4.64/4.84 tff(28053,plain,
% 4.64/4.84 (~r(s(elem!1), elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28037, 28052, 3079, 8722, 9321, 234])).
% 4.64/4.84 tff(28054,plain,
% 4.64/4.84 (b(s(elem!1), elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[312, 28053, 7150])).
% 4.64/4.84 tff(28055,plain,
% 4.64/4.84 (~b(elem!1, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[8191, 28054, 763, 1620, 28052])).
% 4.64/4.84 tff(28056,plain,
% 4.64/4.84 (r(elem!1, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[252, 28055, 14143])).
% 4.64/4.84 tff(28057,plain,
% 4.64/4.84 (~r(z, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[243, 28056, 234])).
% 4.64/4.84 tff(28058,plain,
% 4.64/4.84 (b(z, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1615, 28057])).
% 4.64/4.84 tff(28059,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[27981, 338, 8722, 28058, 28052, 28046, 1620])).
% 4.64/4.84 tff(28060,plain,((~r(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | r(s(elem!1), s(s(elem!1))) | (s(s(s(elem!1))) = elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (~b(elem!1, z)) | (~b(z, s(s(s(elem!1))))) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28061,plain,
% 4.64/4.84 (~r(s(s(s(elem!1))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28060, 28043, 8722, 234, 763, 28033, 1271, 2581, 1270, 2582, 28034, 1595, 207])).
% 4.64/4.84 tff(28062,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1387, 28061, 28044])).
% 4.64/4.84 tff(28063,plain,(b(s(elem!1), s(s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (s(s(s(elem!1))) = elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (~b(z, s(s(s(elem!1))))) | (s(s(elem!1)) = elem!1) | (elem!1 = z) | (~b(s(z), z)) | (s(z) = s(elem!1)) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28064,plain,
% 4.64/4.84 (b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28063, 754, 234, 763, 1271, 2581, 1270, 2582, 1595, 207, 719, 1740, 1949, 8722])).
% 4.64/4.84 tff(28065,plain,
% 4.64/4.84 (~b(elem!1, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[27277, 28064, 1595, 5949, 27234, 8722, 7150, 234, 28031, 17327, 719])).
% 4.64/4.84 tff(28066,plain,
% 4.64/4.84 (r(elem!1, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[252, 28065, 14143])).
% 4.64/4.84 tff(28067,plain,
% 4.64/4.84 (~r(elem!1, z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[5192, 28066, 1740, 27985, 1949, 754])).
% 4.64/4.84 tff(28068,plain,
% 4.64/4.84 (b(elem!1, z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[846, 28067, 719])).
% 4.64/4.84 tff(28069,plain,
% 4.64/4.84 (~b(s(s(s(elem!1))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[5201, 28068, 17327, 1595, 28031])).
% 4.64/4.84 tff(28070,plain,
% 4.64/4.84 (r(s(s(s(elem!1))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1387, 28069])).
% 4.64/4.84 tff(28071,plain,
% 4.64/4.84 (~r(s(s(elem!1)), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[8977, 28070, 27234])).
% 4.64/4.84 tff(28072,plain,
% 4.64/4.84 (b(s(s(elem!1)), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[800, 28071])).
% 4.64/4.84 tff(28073,plain,
% 4.64/4.84 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[17123, 28070, 28064, 7150, 5949, 234, 28031, 17327, 27234])).
% 4.64/4.84 tff(28074,plain,
% 4.64/4.84 (b(elem!1, s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[321, 28073, 14151])).
% 4.64/4.84 tff(28075,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[17364, 28074, 28072, 763, 8722, 28068])).
% 4.64/4.84 tff(28076,plain,((~r(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~r(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (elem!1 = z) | (~b(s(z), z)) | (s(z) = s(elem!1)) | (s(s(s(elem!1))) = elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28077,plain,
% 4.64/4.84 (~r(s(z), elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28076, 27984, 27667, 234, 27917, 719, 1740, 3058, 1271, 2581, 1270, 2582, 27668])).
% 4.64/4.84 tff(28078,plain,
% 4.64/4.84 (s(z) = elem!1),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[701, 28077, 1318])).
% 4.64/4.84 tff(28079,plain,
% 4.64/4.84 (b(s(z), z) <=> b(elem!1, z)),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28078])).
% 4.64/4.84 tff(28080,plain,
% 4.64/4.84 (b(elem!1, z)),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[1740, 28079])).
% 4.64/4.84 tff(28081,plain,
% 4.64/4.84 ((~r(s(elem!1), s(s(s(z))))) <=> (~r(s(elem!1), s(s(elem!1))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[11717])).
% 4.64/4.84 tff(28082,plain,
% 4.64/4.84 ((~r(s(s(z)), s(s(s(z))))) <=> (~r(s(elem!1), s(s(s(z)))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[11718])).
% 4.64/4.84 tff(28083,assumption,(~r(s(s(z)), s(s(s(z))))), introduced(assumption)).
% 4.64/4.84 tff(28084,plain,
% 4.64/4.84 (~r(s(elem!1), s(s(s(z))))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28083, 28082])).
% 4.64/4.84 tff(28085,plain,
% 4.64/4.84 (~r(s(elem!1), s(s(elem!1)))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28084, 28081])).
% 4.64/4.84 tff(28086,plain,
% 4.64/4.84 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[534, 28083])).
% 4.64/4.84 tff(28087,plain,
% 4.64/4.84 (b(s(elem!1), s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[6759, 749, 28086])).
% 4.64/4.84 tff(28088,plain,
% 4.64/4.84 (~r(s(s(s(elem!1))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28060, 28087, 8722, 234, 763, 28085, 1271, 2581, 1270, 2582, 11800, 1595, 207])).
% 4.64/4.84 tff(28089,plain,
% 4.64/4.84 (b(s(s(s(elem!1))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1387, 28088])).
% 4.64/4.84 tff(28090,plain,
% 4.64/4.84 (~b(elem!1, s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[5201, 28089, 17327, 1595, 11800])).
% 4.64/4.84 tff(28091,plain,
% 4.64/4.84 (r(elem!1, s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1946, 28090, 1925])).
% 4.64/4.84 tff(28092,plain,
% 4.64/4.84 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[4436, 28091, 27234])).
% 4.64/4.84 tff(28093,plain,
% 4.64/4.84 (b(elem!1, s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[321, 28092, 14151])).
% 4.64/4.84 tff(28094,plain,
% 4.64/4.84 (~b(s(s(elem!1)), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[17364, 28093, 763, 8722, 11800])).
% 4.64/4.84 tff(28095,plain,
% 4.64/4.84 (r(s(s(elem!1)), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[800, 28094])).
% 4.64/4.84 tff(28096,plain,
% 4.64/4.84 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[870, 1350])).
% 4.64/4.84 tff(28097,plain,
% 4.64/4.84 (r(s(s(elem!1)), s(s(s(elem!1)))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.84 inference(symmetry,[status(thm)],[28096])).
% 4.64/4.84 tff(28098,plain,
% 4.64/4.84 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[2257, 28097])).
% 4.64/4.84 tff(28099,plain,
% 4.64/4.84 (~r(s(s(s(z))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[3603, 1122, 911])).
% 4.64/4.84 tff(28100,plain,
% 4.64/4.84 (~b(s(s(s(z))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[5636, 1122, 1038, 71])).
% 4.64/4.84 tff(28101,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[135, 28100, 28099])).
% 4.64/4.84 tff(28102,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28103,plain,
% 4.64/4.84 (~r(s(s(s(s(z)))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28102, 71, 1395, 28098])).
% 4.64/4.84 tff(28104,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[127, 28103])).
% 4.64/4.84 tff(28105,plain,
% 4.64/4.84 (b(s(s(s(elem!1))), z)),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28104, 1379])).
% 4.64/4.84 tff(28106,plain,
% 4.64/4.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.64/4.84 inference(rewrite,[status(thm)],[])).
% 4.64/4.84 tff(28107,plain,
% 4.64/4.84 (((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.64/4.84 inference(rewrite,[status(thm)],[])).
% 4.64/4.84 tff(28108,plain,
% 4.64/4.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28107])).
% 4.64/4.84 tff(28109,plain,
% 4.64/4.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.64/4.84 inference(transitivity,[status(thm)],[28108, 28106])).
% 4.64/4.84 tff(28110,plain,
% 4.64/4.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), elem!1)))),
% 4.64/4.84 inference(quant_inst,[status(thm)],[])).
% 4.64/4.84 tff(28111,plain,
% 4.64/4.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28110, 28109])).
% 4.64/4.84 tff(28112,plain,
% 4.64/4.84 (~b(z, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28111, 338, 1131, 28105, 2636, 8722, 1620])).
% 4.64/4.84 tff(28113,plain,
% 4.64/4.84 (r(z, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1615, 28112])).
% 4.64/4.84 tff(28114,plain,
% 4.64/4.84 (~r(elem!1, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[243, 28113, 234])).
% 4.64/4.84 tff(28115,plain,
% 4.64/4.84 (b(elem!1, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[252, 28114, 1469])).
% 4.64/4.84 tff(28116,plain,
% 4.64/4.84 (~r(s(elem!1), elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[303, 28113, 234])).
% 4.64/4.84 tff(28117,plain,
% 4.64/4.84 (b(s(elem!1), elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[312, 28116, 306])).
% 4.64/4.84 tff(28118,plain,
% 4.64/4.84 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.84 inference(symmetry,[status(thm)],[5318])).
% 4.64/4.84 tff(28119,plain,
% 4.64/4.84 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.84 inference(transitivity,[status(thm)],[5316, 28118])).
% 4.64/4.84 tff(28120,plain,
% 4.64/4.84 (r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[71, 28119])).
% 4.64/4.84 tff(28121,plain,
% 4.64/4.84 (~r(s(s(elem!1)), s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[2048, 28120, 1294])).
% 4.64/4.84 tff(28122,plain,
% 4.64/4.84 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[277, 28121, 229])).
% 4.64/4.84 tff(28123,plain,
% 4.64/4.84 (~b(elem!1, s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[5201, 28105, 2636, 1595, 1131])).
% 4.64/4.84 tff(28124,plain,
% 4.64/4.84 (r(elem!1, s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1946, 28123, 1939])).
% 4.64/4.84 tff(28125,plain,
% 4.64/4.84 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[4436, 28124, 1294])).
% 4.64/4.84 tff(28126,plain,
% 4.64/4.84 (~r(s(s(elem!1)), elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[6487, 28124, 2257])).
% 4.64/4.84 tff(28127,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[346, 28126, 28125, 28122, 137, 28117, 28115])).
% 4.64/4.84 tff(28128,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (elem!1 = s(s(elem!1))) | (s(elem!1) = elem!1) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, elem!1)) | (elem!1 = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~(s(z) = elem!1)) | (s(s(elem!1)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28129,plain,
% 4.64/4.84 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28128, 11800, 7150, 27986, 27234, 234, 1925, 17327, 1595, 14151, 8722, 28087, 749, 7148])).
% 4.64/4.84 tff(28130,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[68, 28129])).
% 4.64/4.84 tff(28131,plain,
% 4.64/4.84 (b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28130, 1480])).
% 4.64/4.84 tff(28132,plain,
% 4.64/4.84 (~b(s(z), s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1888, 28089, 1595, 1740, 5268])).
% 4.64/4.84 tff(28133,plain,
% 4.64/4.84 (r(s(z), s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1870, 28132])).
% 4.64/4.84 tff(28134,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), s(elem!1))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28130, 1479])).
% 4.64/4.84 tff(28135,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[17327, 27703])).
% 4.64/4.84 tff(28136,plain,
% 4.64/4.84 (~r(s(z), s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[4223, 28133, 27234])).
% 4.64/4.84 tff(28137,plain,
% 4.64/4.84 (b(s(z), s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[743, 28136])).
% 4.64/4.84 tff(28138,plain,
% 4.64/4.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.64/4.84 inference(rewrite,[status(thm)],[])).
% 4.64/4.84 tff(28139,plain,
% 4.64/4.84 (((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.64/4.84 inference(rewrite,[status(thm)],[])).
% 4.64/4.84 tff(28140,plain,
% 4.64/4.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z)))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28139])).
% 4.64/4.84 tff(28141,plain,
% 4.64/4.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.64/4.84 inference(transitivity,[status(thm)],[28140, 28138])).
% 4.64/4.84 tff(28142,plain,
% 4.64/4.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 4.64/4.84 inference(quant_inst,[status(thm)],[])).
% 4.64/4.84 tff(28143,plain,
% 4.64/4.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z)))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28142, 28141])).
% 4.64/4.84 tff(28144,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28143, 338, 8722, 747, 1740, 3084, 2911, 3663])).
% 4.64/4.84 tff(28145,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28146,plain,
% 4.64/4.84 (~b(s(elem!1), s(z))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28145, 28137, 8722, 1740, 28135, 28134])).
% 4.64/4.84 tff(28147,plain,
% 4.64/4.84 (r(s(elem!1), s(z))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[2070, 28146, 1917])).
% 4.64/4.84 tff(28148,plain,
% 4.64/4.84 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[3055, 28147, 28133])).
% 4.64/4.84 tff(28149,plain,
% 4.64/4.84 (b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1515, 28148, 5948])).
% 4.64/4.84 tff(28150,plain,
% 4.64/4.84 (~b(z, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1605, 28149, 1595, 28131, 28089])).
% 4.64/4.84 tff(28151,plain,
% 4.64/4.84 (r(z, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1615, 28150])).
% 4.64/4.84 tff(28152,plain,
% 4.64/4.84 (~r(s(s(elem!1)), s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[9003, 28151, 28095])).
% 4.64/4.84 tff(28153,plain,
% 4.64/4.84 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[277, 28152, 7148])).
% 4.64/4.84 tff(28154,plain,
% 4.64/4.84 (~r(s(elem!1), elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[303, 28151, 234])).
% 4.64/4.84 tff(28155,plain,
% 4.64/4.84 (b(s(elem!1), elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[312, 28154, 7150])).
% 4.64/4.84 tff(28156,plain,
% 4.64/4.84 (~r(elem!1, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[243, 28151, 234])).
% 4.64/4.84 tff(28157,plain,
% 4.64/4.84 (b(elem!1, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[252, 28156, 14143])).
% 4.64/4.84 tff(28158,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[8191, 28157, 28155, 763, 28087, 28153])).
% 4.64/4.84 tff(28159,plain,((~(s(z) = elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~r(z, elem!1)) | (~b(z, s(s(s(elem!1))))) | (s(elem!1) = s(z)) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (s(s(s(elem!1))) = elem!1) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | (s(s(elem!1)) = elem!1) | r(s(s(z)), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28160,plain,
% 4.64/4.84 (r(s(s(z)), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28159, 28078, 234, 27917, 1917, 27667, 1740, 1271, 2581, 1270, 2582, 27668, 27984])).
% 4.64/4.84 tff(28161,plain,
% 4.64/4.84 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[5400, 28160, 28078, 27676])).
% 4.64/4.84 tff(28162,plain,
% 4.64/4.84 (b(s(elem!1), s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1515, 28161, 27670])).
% 4.64/4.84 tff(28163,plain,
% 4.64/4.84 (s(s(z)) = s(elem!1)),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28078])).
% 4.64/4.84 tff(28164,plain,
% 4.64/4.84 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28163])).
% 4.64/4.84 tff(28165,plain,
% 4.64/4.84 (s(s(elem!1)) = s(s(s(z)))),
% 4.64/4.84 inference(symmetry,[status(thm)],[28164])).
% 4.64/4.84 tff(28166,plain,
% 4.64/4.84 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(z))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28165])).
% 4.64/4.84 tff(28167,plain,
% 4.64/4.84 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.64/4.84 inference(symmetry,[status(thm)],[28166])).
% 4.64/4.84 tff(28168,plain,
% 4.64/4.84 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28163])).
% 4.64/4.84 tff(28169,plain,
% 4.64/4.84 (r(s(elem!1), s(s(s(z))))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28160, 28168])).
% 4.64/4.84 tff(28170,plain,
% 4.64/4.84 (r(s(elem!1), s(s(elem!1)))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28169, 28167])).
% 4.64/4.84 tff(28171,plain,
% 4.64/4.84 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.64/4.84 inference(rewrite,[status(thm)],[])).
% 4.64/4.84 tff(28172,plain,
% 4.64/4.84 (((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(elem!1)))) <=> ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.64/4.84 inference(rewrite,[status(thm)],[])).
% 4.64/4.84 tff(28173,plain,
% 4.64/4.84 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28172])).
% 4.64/4.84 tff(28174,plain,
% 4.64/4.84 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))))),
% 4.64/4.84 inference(transitivity,[status(thm)],[28173, 28171])).
% 4.64/4.84 tff(28175,plain,
% 4.64/4.84 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(elem!1))), s(elem!1))))),
% 4.64/4.84 inference(quant_inst,[status(thm)],[])).
% 4.64/4.84 tff(28176,plain,
% 4.64/4.84 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), s(elem!1))) | (~r(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28175, 28174])).
% 4.64/4.84 tff(28177,plain,
% 4.64/4.84 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28176, 82, 27676, 28170])).
% 4.64/4.84 tff(28178,plain,
% 4.64/4.84 (b(s(s(s(elem!1))), s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1971, 28177, 27671])).
% 4.64/4.84 tff(28179,plain,
% 4.64/4.84 (~(s(elem!1) = elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[293, 27668])).
% 4.64/4.84 tff(28180,plain,
% 4.64/4.84 (~(elem!1 = s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[231, 27672])).
% 4.64/4.84 tff(28181,plain,
% 4.64/4.84 (~r(z, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[27239, 28178, 17327, 28162, 28180, 28179, 234])).
% 4.64/4.84 tff(28182,plain,
% 4.64/4.84 (b(z, s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1615, 28181])).
% 4.64/4.84 tff(28183,plain,
% 4.64/4.84 (~b(s(s(s(elem!1))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1605, 28182, 27917, 28178, 28162])).
% 4.64/4.84 tff(28184,plain,
% 4.64/4.84 (r(s(s(s(elem!1))), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1387, 28183])).
% 4.64/4.84 tff(28185,plain,
% 4.64/4.84 (~r(s(s(elem!1)), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[8977, 28184, 27676])).
% 4.64/4.84 tff(28186,plain,
% 4.64/4.84 (b(s(s(elem!1)), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[800, 28185])).
% 4.64/4.84 tff(28187,plain,
% 4.64/4.84 (~b(elem!1, s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[17364, 28186, 27984, 27667, 28080])).
% 4.64/4.84 tff(28188,plain,
% 4.64/4.84 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[14222, 28184, 27917, 27668, 234, 28080, 1271])).
% 4.64/4.84 tff(28189,plain,
% 4.64/4.84 (b(elem!1, s(s(s(elem!1))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1946, 28188, 1925])).
% 4.64/4.84 tff(28190,plain,
% 4.64/4.84 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[17123, 28189, 28162, 28179, 27671, 234, 28184, 17327, 27676])).
% 4.64/4.84 tff(28191,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[321, 28190, 28187, 27669])).
% 4.64/4.84 tff(28192,plain,((~b(s(z), z)) | (~r(z, elem!1)) | (s(s(s(elem!1))) = elem!1) | (s(elem!1) = s(z)) | b(s(s(elem!1)), s(s(s(elem!1)))) | b(s(s(s(elem!1))), s(s(elem!1))) | r(s(s(s(elem!1))), elem!1) | b(s(z), elem!1) | (elem!1 = z) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28193,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28192, 27666, 27663, 1740, 27639, 27659, 27655, 27653, 27649, 27640, 27631])).
% 4.64/4.84 tff(28194,plain,((~b(s(z), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), z)) | b(z, s(s(s(s(z))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28195,plain,
% 4.64/4.84 (~b(s(z), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28194, 386, 1741, 62, 175])).
% 4.64/4.84 tff(28196,plain,
% 4.64/4.84 (r(s(z), z)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[26, 28195])).
% 4.64/4.84 tff(28197,plain,
% 4.64/4.84 (~b(s(z), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[20844, 539, 458, 651, 2911])).
% 4.64/4.84 tff(28198,plain,
% 4.64/4.84 (r(s(z), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[424, 28197])).
% 4.64/4.84 tff(28199,plain,
% 4.64/4.84 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[27356, 28198, 175, 371, 458, 651, 1741])).
% 4.64/4.84 tff(28200,plain,
% 4.64/4.84 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[27374, 28198, 651, 405, 539, 458, 175, 1741, 3348])).
% 4.64/4.84 tff(28201,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[68, 28200, 28199])).
% 4.64/4.84 tff(28202,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28203,plain,
% 4.64/4.84 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28202, 28196, 27330, 26540, 175, 1741, 27616, 13914, 27614])).
% 4.64/4.84 tff(28204,plain,
% 4.64/4.84 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[689, 28203])).
% 4.64/4.84 tff(28205,plain,
% 4.64/4.84 (~r(s(z), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[27356, 71, 175, 371, 458, 651, 1741])).
% 4.64/4.84 tff(28206,plain,
% 4.64/4.84 (b(s(z), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[424, 28205])).
% 4.64/4.84 tff(28207,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[25830, 21127, 27332, 1741, 1459, 3348])).
% 4.64/4.84 tff(28208,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28209,plain,
% 4.64/4.84 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28208, 71, 1741, 3348, 911, 371])).
% 4.64/4.84 tff(28210,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1011, 28209])).
% 4.64/4.84 tff(28211,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[5079, 28210, 28206, 458, 651, 2911])).
% 4.64/4.84 tff(28212,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28213,plain,
% 4.64/4.84 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28212, 27614, 27330, 26540, 1741, 27616, 28204, 13914, 175])).
% 4.64/4.84 tff(28214,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[68, 28213])).
% 4.64/4.84 tff(28215,plain,
% 4.64/4.84 (~r(z, s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[16634, 4550, 458, 13914])).
% 4.64/4.84 tff(28216,plain,
% 4.64/4.84 (b(z, s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[149, 28215])).
% 4.64/4.84 tff(28217,plain,
% 4.64/4.84 (b(z, s(s(elem!1)))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[27590, 27587, 1741, 28216, 62, 13914])).
% 4.64/4.84 tff(28218,plain,
% 4.64/4.84 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[18489, 28217, 386])).
% 4.64/4.84 tff(28219,plain,
% 4.64/4.84 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[368, 28218, 62])).
% 4.64/4.84 tff(28220,plain,
% 4.64/4.84 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[22025, 28219, 458, 405, 28216, 911])).
% 4.64/4.84 tff(28221,plain,
% 4.64/4.84 (s(z) = elem!1),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1237, 28220])).
% 4.64/4.84 tff(28222,plain,
% 4.64/4.84 (s(s(z)) = s(elem!1)),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28221])).
% 4.64/4.84 tff(28223,plain,
% 4.64/4.84 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28222])).
% 4.64/4.84 tff(28224,plain,
% 4.64/4.84 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28223])).
% 4.64/4.84 tff(28225,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28224])).
% 4.64/4.84 tff(28226,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28221])).
% 4.64/4.84 tff(28227,plain,
% 4.64/4.84 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[2112, 4550, 13914])).
% 4.64/4.84 tff(28228,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[119, 28227])).
% 4.64/4.84 tff(28229,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), elem!1)),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28228, 28226])).
% 4.64/4.84 tff(28230,plain,
% 4.64/4.84 (b(s(s(s(elem!1))), elem!1)),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28229, 28225])).
% 4.64/4.84 tff(28231,plain,
% 4.64/4.84 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28224])).
% 4.64/4.84 tff(28232,plain,
% 4.64/4.84 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28219, 28231])).
% 4.64/4.84 tff(28233,plain,
% 4.64/4.84 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28221])).
% 4.64/4.84 tff(28234,plain,
% 4.64/4.84 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.64/4.84 inference(transitivity,[status(thm)],[28233, 1254])).
% 4.64/4.84 tff(28235,plain,
% 4.64/4.84 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28234])).
% 4.64/4.84 tff(28236,plain,
% 4.64/4.84 (~(s(s(s(elem!1))) = elem!1)),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[1263, 28235])).
% 4.64/4.84 tff(28237,plain,
% 4.64/4.84 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1336, 28236])).
% 4.64/4.84 tff(28238,plain,
% 4.64/4.84 (~b(z, elem!1)),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[2343, 28221, 398])).
% 4.64/4.84 tff(28239,plain,
% 4.64/4.84 (b(z, s(s(s(s(z))))) <=> b(z, s(s(s(elem!1))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28224])).
% 4.64/4.84 tff(28240,plain,
% 4.64/4.84 ((~b(z, s(s(s(s(z)))))) <=> (~b(z, s(s(s(elem!1)))))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28239])).
% 4.64/4.84 tff(28241,plain,
% 4.64/4.84 (~b(z, s(s(s(elem!1))))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[386, 28240])).
% 4.64/4.84 tff(28242,plain,
% 4.64/4.84 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28224])).
% 4.64/4.84 tff(28243,plain,
% 4.64/4.84 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.84 inference(monotonicity,[status(thm)],[28223])).
% 4.64/4.84 tff(28244,plain,
% 4.64/4.84 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[1011, 27587])).
% 4.64/4.84 tff(28245,plain,
% 4.64/4.84 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28244, 28243])).
% 4.64/4.84 tff(28246,plain,
% 4.64/4.84 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.84 inference(modus_ponens,[status(thm)],[28245, 28242])).
% 4.64/4.84 tff(28247,plain,
% 4.64/4.84 ($false),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[27759, 28246, 28241, 28221, 28238, 28237, 28232, 28230, 28217])).
% 4.64/4.84 tff(28248,plain,(b(s(s(s(s(z)))), s(s(s(z)))) | b(z, s(s(s(s(z))))) | b(z, s(z)) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.84 tff(28249,plain,
% 4.64/4.84 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[28248, 386, 27611, 26540, 28196, 28204, 62, 1741])).
% 4.64/4.84 tff(28250,plain,
% 4.64/4.84 (~b(s(z), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[5079, 28249, 26540, 27330, 27614])).
% 4.64/4.84 tff(28251,plain,
% 4.64/4.84 (r(s(z), s(s(s(z))))),
% 4.64/4.84 inference(unit_resolution,[status(thm)],[424, 28250])).
% 4.64/4.85 tff(28252,plain,
% 4.64/4.85 (~b(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[27526, 28249, 13914, 27616, 27330, 28214, 28196, 1741, 175])).
% 4.64/4.85 tff(28253,plain,
% 4.64/4.85 (r(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[534, 28252])).
% 4.64/4.85 tff(28254,plain,
% 4.64/4.85 (~r(s(z), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[13187, 28253, 28251])).
% 4.64/4.85 tff(28255,plain,
% 4.64/4.85 (b(s(z), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[455, 28254])).
% 4.64/4.85 tff(28256,plain,
% 4.64/4.85 (~b(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[5914, 28255, 13914, 27612, 28214, 28196])).
% 4.64/4.85 tff(28257,plain,
% 4.64/4.85 (r(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[472, 28256])).
% 4.64/4.85 tff(28258,plain,
% 4.64/4.85 ($false),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[3882, 82, 28253, 28251, 28257])).
% 4.64/4.85 tff(28259,plain,(b(z, s(s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.85 tff(28260,plain,
% 4.64/4.85 (b(z, s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28259, 22295, 128, 62])).
% 4.64/4.85 tff(28261,plain,
% 4.64/4.85 (~r(s(s(s(z))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[26538, 22295, 128, 62])).
% 4.64/4.85 tff(28262,plain,
% 4.64/4.85 (b(s(s(s(z))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[437, 28261])).
% 4.64/4.85 tff(28263,plain,
% 4.64/4.85 (b(s(z), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[27329, 128, 62, 22295])).
% 4.64/4.85 tff(28264,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28265,plain,
% 4.64/4.85 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28266,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28265])).
% 4.64/4.85 tff(28267,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.64/4.85 inference(transitivity,[status(thm)],[28266, 28264])).
% 4.64/4.85 tff(28268,plain,
% 4.64/4.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.64/4.85 inference(quant_inst,[status(thm)],[])).
% 4.64/4.85 tff(28269,plain,
% 4.64/4.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28268, 28267])).
% 4.64/4.85 tff(28270,plain,
% 4.64/4.85 ((~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28269, 338, 1741, 651, 175, 555])).
% 4.64/4.85 tff(28271,plain,
% 4.64/4.85 (~b(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28270, 539])).
% 4.64/4.85 tff(28272,plain,
% 4.64/4.85 (r(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[403, 28271])).
% 4.64/4.85 tff(28273,plain,
% 4.64/4.85 (~r(s(z), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[16605, 28272, 164])).
% 4.64/4.85 tff(28274,plain,
% 4.64/4.85 (b(s(z), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[424, 28273])).
% 4.64/4.85 tff(28275,plain,
% 4.64/4.85 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[22136, 28274, 458, 651, 539])).
% 4.64/4.85 tff(28276,plain,
% 4.64/4.85 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[68, 28275])).
% 4.64/4.85 tff(28277,plain,
% 4.64/4.85 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[572, 28276, 175, 164, 555])).
% 4.64/4.85 tff(28278,plain,
% 4.64/4.85 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[534, 28277])).
% 4.64/4.85 tff(28279,plain,
% 4.64/4.85 (~b(z, s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[24635, 28276, 175, 1741, 555, 539])).
% 4.64/4.85 tff(28280,plain,
% 4.64/4.85 (r(z, s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[563, 28279])).
% 4.64/4.85 tff(28281,plain,
% 4.64/4.85 ($false),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[26842, 28280, 28278, 28274, 458, 28272])).
% 4.64/4.85 tff(28282,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.85 tff(28283,plain,
% 4.64/4.85 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28282, 164, 175, 1741, 555, 458, 651])).
% 4.64/4.85 tff(28284,plain,
% 4.64/4.85 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[689, 28283])).
% 4.64/4.85 tff(28285,plain,
% 4.64/4.85 (~r(s(z), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[16609, 1740, 28284, 175, 164])).
% 4.64/4.85 tff(28286,plain,
% 4.64/4.85 (b(s(z), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[424, 28285])).
% 4.64/4.85 tff(28287,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28288,plain,
% 4.64/4.85 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))) <=> ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28289,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28288])).
% 4.64/4.85 tff(28290,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.85 inference(transitivity,[status(thm)],[28289, 28287])).
% 4.64/4.85 tff(28291,plain,
% 4.64/4.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.64/4.85 inference(quant_inst,[status(thm)],[])).
% 4.64/4.85 tff(28292,plain,
% 4.64/4.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28291, 28290])).
% 4.64/4.85 tff(28293,plain,
% 4.64/4.85 ((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28292, 338, 1741, 651, 175, 555])).
% 4.64/4.85 tff(28294,plain,
% 4.64/4.85 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28293, 1740])).
% 4.64/4.85 tff(28295,plain,
% 4.64/4.85 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[1011, 28294])).
% 4.64/4.85 tff(28296,plain,
% 4.64/4.85 (~b(s(s(s(s(z)))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[11153, 1740, 175, 651, 555])).
% 4.64/4.85 tff(28297,plain,
% 4.64/4.85 (r(s(s(s(s(z)))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[119, 28296])).
% 4.64/4.85 tff(28298,plain,
% 4.64/4.85 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[1463, 28297, 458, 28286, 28295])).
% 4.64/4.85 tff(28299,plain,
% 4.64/4.85 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[68, 28298])).
% 4.64/4.85 tff(28300,plain,
% 4.64/4.85 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[18873, 28286, 458, 1740, 175, 555, 164, 28297])).
% 4.64/4.85 tff(28301,plain,
% 4.64/4.85 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[534, 28300])).
% 4.64/4.85 tff(28302,plain,
% 4.64/4.85 ($false),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[18895, 28301, 28299, 458, 651, 555, 1740, 175, 28286])).
% 4.64/4.85 tff(28303,plain,((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.85 tff(28304,plain,
% 4.64/4.85 (~b(s(z), z)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28303, 164, 651, 555, 175, 458, 1741])).
% 4.64/4.85 tff(28305,plain,
% 4.64/4.85 (r(s(z), z)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[26, 28304])).
% 4.64/4.85 tff(28306,plain,
% 4.64/4.85 (~r(s(z), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[414, 28305, 164])).
% 4.64/4.85 tff(28307,plain,
% 4.64/4.85 (b(s(z), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[424, 28306])).
% 4.64/4.85 tff(28308,plain,
% 4.64/4.85 (~b(s(z), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[22114, 1038, 458, 457, 911, 71])).
% 4.64/4.85 tff(28309,plain,
% 4.64/4.85 (r(s(z), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[455, 28308])).
% 4.64/4.85 tff(28310,plain,
% 4.64/4.85 (~r(s(s(z)), z)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[21488, 28309, 405])).
% 4.64/4.85 tff(28311,plain,
% 4.64/4.85 (b(s(s(z)), z)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[956, 28310])).
% 4.64/4.85 tff(28312,plain,
% 4.64/4.85 (~r(z, s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[619, 28309, 405])).
% 4.64/4.85 tff(28313,plain,
% 4.64/4.85 (b(z, s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[563, 28312])).
% 4.64/4.85 tff(28314,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28315,plain,
% 4.64/4.85 (((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28316,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z))))))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28315])).
% 4.64/4.85 tff(28317,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.64/4.85 inference(transitivity,[status(thm)],[28316, 28314])).
% 4.64/4.85 tff(28318,plain,
% 4.64/4.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)))),
% 4.64/4.85 inference(quant_inst,[status(thm)],[])).
% 4.64/4.85 tff(28319,plain,
% 4.64/4.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z))))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28318, 28317])).
% 4.64/4.85 tff(28320,plain,
% 4.64/4.85 ($false),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28319, 338, 24689, 28313, 1741, 28311, 21127])).
% 4.64/4.85 tff(28321,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.85 tff(28322,plain,
% 4.64/4.85 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28321, 71, 405, 458, 457, 911, 1741])).
% 4.64/4.85 tff(28323,plain,
% 4.64/4.85 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[1011, 28322])).
% 4.64/4.85 tff(28324,plain,
% 4.64/4.85 (~b(s(s(s(s(z)))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[5079, 28323, 458, 651, 457])).
% 4.64/4.85 tff(28325,plain,
% 4.64/4.85 (r(s(s(s(s(z)))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[119, 28324])).
% 4.64/4.85 tff(28326,plain,
% 4.64/4.85 (~r(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[464, 28325, 71])).
% 4.64/4.85 tff(28327,plain,
% 4.64/4.85 (b(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[472, 28326])).
% 4.64/4.85 tff(28328,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28329,plain,
% 4.64/4.85 (((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28330,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28329])).
% 4.64/4.85 tff(28331,plain,
% 4.64/4.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.64/4.85 inference(transitivity,[status(thm)],[28330, 28328])).
% 4.64/4.85 tff(28332,plain,
% 4.64/4.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.64/4.85 inference(quant_inst,[status(thm)],[])).
% 4.64/4.85 tff(28333,plain,
% 4.64/4.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28332, 28331])).
% 4.64/4.85 tff(28334,plain,
% 4.64/4.85 ($false),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28333, 338, 457, 28327, 458, 21127, 28323, 651])).
% 4.64/4.85 tff(28335,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.85 tff(28336,plain,
% 4.64/4.85 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28335, 28307, 458, 651, 28305, 28284, 1741])).
% 4.64/4.85 tff(28337,plain,
% 4.64/4.85 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[68, 28336])).
% 4.64/4.85 tff(28338,plain,
% 4.64/4.85 (~r(s(z), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[21492, 28337, 555, 175, 28305])).
% 4.64/4.85 tff(28339,plain,
% 4.64/4.85 (b(s(z), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[455, 28338])).
% 4.64/4.85 tff(28340,plain,
% 4.64/4.85 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[572, 28337, 175, 164, 555])).
% 4.64/4.85 tff(28341,plain,
% 4.64/4.85 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[534, 28340])).
% 4.64/4.85 tff(28342,plain,
% 4.64/4.85 (~b(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[484, 28341, 458, 28307, 28339])).
% 4.64/4.85 tff(28343,plain,
% 4.64/4.85 (r(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[472, 28342])).
% 4.64/4.85 tff(28344,plain,
% 4.64/4.85 (~r(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[18283, 28341, 458, 164, 28305, 175, 28337])).
% 4.64/4.85 tff(28345,plain,
% 4.64/4.85 (b(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[403, 28344])).
% 4.64/4.85 tff(28346,plain,
% 4.64/4.85 (~b(s(s(s(s(z)))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[6869, 28345, 175, 651, 555])).
% 4.64/4.85 tff(28347,plain,
% 4.64/4.85 (r(s(s(s(s(z)))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[119, 28346])).
% 4.64/4.85 tff(28348,plain,
% 4.64/4.85 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[943, 82, 28347, 28343])).
% 4.64/4.85 tff(28349,plain,
% 4.64/4.85 (b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[598, 28348, 61])).
% 4.64/4.85 tff(28350,plain,
% 4.64/4.85 (~b(s(s(z)), z)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[951, 338, 651, 28339, 28337, 28349, 555])).
% 4.64/4.85 tff(28351,plain,
% 4.64/4.85 (r(s(s(z)), z)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[956, 28350])).
% 4.64/4.85 tff(28352,plain,
% 4.64/4.85 ($false),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[17850, 82, 28305, 28351, 28343])).
% 4.64/4.85 tff(28353,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.85 tff(28354,plain,
% 4.64/4.85 (~r(z, s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28353, 28263, 28260, 128, 28262, 22295])).
% 4.64/4.85 tff(28355,plain,
% 4.64/4.85 (b(z, s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[149, 28354])).
% 4.64/4.85 tff(28356,plain,
% 4.64/4.85 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[25652, 28355, 22295, 128, 28260])).
% 4.64/4.85 tff(28357,plain,
% 4.64/4.85 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[689, 28356])).
% 4.64/4.85 tff(28358,plain,
% 4.64/4.85 (b(z, s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28259, 1741, 175, 62])).
% 4.64/4.85 tff(28359,plain,
% 4.64/4.85 (~r(z, s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28353, 27330, 28358, 175, 26540, 1741])).
% 4.64/4.85 tff(28360,plain,
% 4.64/4.85 (b(z, s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[149, 28359])).
% 4.64/4.85 tff(28361,plain,
% 4.64/4.85 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[26503, 28360, 28358, 175, 1741])).
% 4.64/4.85 tff(28362,plain,
% 4.64/4.85 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[1011, 28361])).
% 4.64/4.85 tff(28363,plain,
% 4.64/4.85 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[5882, 406, 28362])).
% 4.64/4.85 tff(28364,plain,
% 4.64/4.85 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[534, 28363])).
% 4.64/4.85 tff(28365,plain,
% 4.64/4.85 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[25652, 28360, 1741, 175, 28358])).
% 4.64/4.85 tff(28366,plain,
% 4.64/4.85 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[689, 28365])).
% 4.64/4.85 tff(28367,plain,
% 4.64/4.85 (~b(s(z), z)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[21770, 406, 27330, 175, 28358, 28360])).
% 4.64/4.85 tff(28368,plain,
% 4.64/4.85 (r(s(z), z)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[26, 28367])).
% 4.64/4.85 tff(28369,plain,
% 4.64/4.85 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[3437, 406, 28362])).
% 4.64/4.85 tff(28370,plain,
% 4.64/4.85 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[119, 28369])).
% 4.64/4.85 tff(28371,plain,
% 4.64/4.85 (~b(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[6869, 2911, 175, 651, 555])).
% 4.64/4.85 tff(28372,plain,
% 4.64/4.85 (r(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[403, 28371])).
% 4.64/4.85 tff(28373,plain,
% 4.64/4.85 (~b(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[2919, 21494, 651, 2911, 540])).
% 4.64/4.85 tff(28374,plain,
% 4.64/4.85 (r(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[472, 28373])).
% 4.64/4.85 tff(28375,plain,
% 4.64/4.85 (~r(z, s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[2514, 28374, 28372])).
% 4.64/4.85 tff(28376,plain,
% 4.64/4.85 (b(z, s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[563, 28375])).
% 4.64/4.85 tff(28377,plain,
% 4.64/4.85 (~b(s(s(s(z))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[25830, 28376, 1741, 3348, 476])).
% 4.64/4.85 tff(28378,plain,
% 4.64/4.85 (r(s(s(s(z))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[639, 28377])).
% 4.64/4.85 tff(28379,plain,
% 4.64/4.85 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[5800, 21494, 651, 2911, 540])).
% 4.64/4.85 tff(28380,plain,
% 4.64/4.85 (r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[598, 28379, 61])).
% 4.64/4.85 tff(28381,plain,
% 4.64/4.85 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[25652, 3348, 1741, 175, 555])).
% 4.64/4.85 tff(28382,plain,
% 4.64/4.85 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[689, 28381])).
% 4.64/4.85 tff(28383,plain,
% 4.64/4.85 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28384,plain,
% 4.64/4.85 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z))))) <=> ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.64/4.85 inference(rewrite,[status(thm)],[])).
% 4.64/4.85 tff(28385,plain,
% 4.64/4.85 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z))))))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28384])).
% 4.64/4.85 tff(28386,plain,
% 4.64/4.85 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.64/4.85 inference(transitivity,[status(thm)],[28385, 28383])).
% 4.64/4.85 tff(28387,plain,
% 4.64/4.85 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.64/4.85 inference(quant_inst,[status(thm)],[])).
% 4.64/4.85 tff(28388,plain,
% 4.64/4.85 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z))))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28387, 28386])).
% 4.64/4.85 tff(28389,plain,
% 4.64/4.85 ($false),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28388, 82, 28382, 28380, 28378])).
% 4.64/4.85 tff(28390,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.85 tff(28391,plain,
% 4.64/4.85 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28390, 28364, 28360, 1741, 27330, 28370, 28358, 175, 28368])).
% 4.64/4.85 tff(28392,plain,
% 4.64/4.85 (~b(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[6869, 28370, 175, 27330, 28358])).
% 4.64/4.85 tff(28393,plain,
% 4.64/4.85 (r(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[403, 28392])).
% 4.64/4.85 tff(28394,plain,
% 4.64/4.85 (b(z, s(s(elem!1)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[26677, 28368, 26540, 28358, 28360, 62, 28366])).
% 4.64/4.85 tff(28395,plain,
% 4.64/4.85 (r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[68, 28391])).
% 4.64/4.85 tff(28396,plain,
% 4.64/4.85 (~r(s(s(s(z))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[2472, 28395, 28366])).
% 4.64/4.85 tff(28397,plain,
% 4.64/4.85 (b(s(s(s(z))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[639, 28396])).
% 4.64/4.85 tff(28398,plain,
% 4.64/4.85 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[25879, 28397, 28394, 28368, 1741, 28393, 28360, 406, 28391, 175, 27330])).
% 4.64/4.85 tff(28399,plain,
% 4.64/4.85 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[368, 28398, 62])).
% 4.64/4.85 tff(28400,plain,
% 4.64/4.85 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[22025, 28399, 26540, 28368, 28360, 28366])).
% 4.64/4.85 tff(28401,plain,
% 4.64/4.85 (s(z) = elem!1),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[1237, 28400])).
% 4.64/4.85 tff(28402,plain,
% 4.64/4.85 (b(s(elem!1), s(s(elem!1)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[6759, 28401, 28364])).
% 4.64/4.85 tff(28403,plain,
% 4.64/4.85 (s(s(z)) = s(elem!1)),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28401])).
% 4.64/4.85 tff(28404,plain,
% 4.64/4.85 (b(s(s(z)), elem!1) <=> b(s(elem!1), elem!1)),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28403])).
% 4.64/4.85 tff(28405,plain,
% 4.64/4.85 (b(s(s(z)), s(z)) <=> b(s(s(z)), elem!1)),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28401])).
% 4.64/4.85 tff(28406,plain,
% 4.64/4.85 (~b(z, s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[25830, 28397, 1741, 28360, 28364])).
% 4.64/4.85 tff(28407,plain,
% 4.64/4.85 (r(z, s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[563, 28406])).
% 4.64/4.85 tff(28408,plain,
% 4.64/4.85 (~r(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[2514, 28407, 28393])).
% 4.64/4.85 tff(28409,plain,
% 4.64/4.85 (b(s(s(z)), s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[472, 28408])).
% 4.64/4.85 tff(28410,plain,
% 4.64/4.85 (b(s(s(z)), elem!1)),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28409, 28405])).
% 4.64/4.85 tff(28411,plain,
% 4.64/4.85 (b(s(elem!1), elem!1)),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28410, 28404])).
% 4.64/4.85 tff(28412,plain,
% 4.64/4.85 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28403])).
% 4.64/4.85 tff(28413,plain,
% 4.64/4.85 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28401])).
% 4.64/4.85 tff(28414,plain,
% 4.64/4.85 (~r(s(z), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[619, 28407, 28368])).
% 4.64/4.85 tff(28415,plain,
% 4.64/4.85 (b(s(z), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[455, 28414])).
% 4.64/4.85 tff(28416,plain,
% 4.64/4.85 (b(elem!1, s(s(z)))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28415, 28413])).
% 4.64/4.85 tff(28417,plain,
% 4.64/4.85 (b(elem!1, s(elem!1))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28416, 28412])).
% 4.64/4.85 tff(28418,plain,
% 4.64/4.85 (s(s(s(z))) = s(s(elem!1))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28403])).
% 4.64/4.85 tff(28419,plain,
% 4.64/4.85 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28418])).
% 4.64/4.85 tff(28420,plain,
% 4.64/4.85 (b(s(s(s(z))), s(s(z))) <=> b(s(s(s(z))), s(elem!1))),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28403])).
% 4.64/4.85 tff(28421,plain,
% 4.64/4.85 (b(s(s(s(z))), s(elem!1))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28397, 28420])).
% 4.64/4.85 tff(28422,plain,
% 4.64/4.85 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28421, 28419])).
% 4.64/4.85 tff(28423,plain,
% 4.64/4.85 (b(s(s(s(z))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.64/4.85 inference(monotonicity,[status(thm)],[28418])).
% 4.64/4.85 tff(28424,plain,
% 4.64/4.85 (b(s(s(s(z))), elem!1)),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[11879, 28401, 26540])).
% 4.64/4.85 tff(28425,plain,
% 4.64/4.85 (b(s(s(elem!1)), elem!1)),
% 4.64/4.85 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 4.64/4.85 tff(28426,plain,
% 4.64/4.85 ($false),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[8189, 338, 28425, 28422, 28417, 28411, 28402])).
% 4.64/4.85 tff(28427,plain,((~r(s(z), s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.85 tff(28428,plain,
% 4.64/4.85 (~r(s(z), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[28427, 22295, 62, 128])).
% 4.64/4.85 tff(28429,plain,
% 4.64/4.85 (b(s(z), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[424, 28428])).
% 4.64/4.85 tff(28430,plain,
% 4.64/4.85 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[26503, 28355, 28260, 128, 22295])).
% 4.64/4.85 tff(28431,plain,
% 4.64/4.85 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[1011, 28430])).
% 4.64/4.85 tff(28432,plain,
% 4.64/4.85 (~b(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[3505, 1740, 175, 651, 555])).
% 4.64/4.85 tff(28433,plain,
% 4.64/4.85 (r(z, s(z))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[403, 28432])).
% 4.64/4.85 tff(28434,plain,
% 4.64/4.85 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[21150, 28433, 458, 3348, 457, 1038, 911])).
% 4.64/4.85 tff(28435,plain,
% 4.64/4.85 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.85 inference(unit_resolution,[status(thm)],[68, 28434])).
% 4.64/4.85 tff(28436,plain,
% 4.64/4.86 (~b(s(s(z)), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[18895, 28435, 458, 651, 555, 1740, 175, 457])).
% 4.64/4.86 tff(28437,plain,
% 4.64/4.86 (r(s(s(z)), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[534, 28436])).
% 4.64/4.86 tff(28438,plain,
% 4.64/4.86 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[20909, 82, 28437, 1038])).
% 4.64/4.86 tff(28439,plain,
% 4.64/4.86 (b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[598, 28438, 61])).
% 4.64/4.86 tff(28440,plain,
% 4.64/4.86 (~b(z, s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[18887, 28435, 651, 555, 175, 1740])).
% 4.64/4.86 tff(28441,plain,
% 4.64/4.86 (r(z, s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[563, 28440])).
% 4.64/4.86 tff(28442,plain,
% 4.64/4.86 (~r(s(z), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[2492, 28441, 28433])).
% 4.64/4.86 tff(28443,plain,
% 4.64/4.86 (b(s(z), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[455, 28442])).
% 4.64/4.86 tff(28444,plain,
% 4.64/4.86 (~r(s(s(z)), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[2514, 28441, 28433])).
% 4.64/4.86 tff(28445,plain,
% 4.64/4.86 (b(s(s(z)), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[472, 28444])).
% 4.64/4.86 tff(28446,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(rewrite,[status(thm)],[])).
% 4.64/4.86 tff(28447,plain,
% 4.64/4.86 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(rewrite,[status(thm)],[])).
% 4.64/4.86 tff(28448,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28447])).
% 4.64/4.86 tff(28449,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(transitivity,[status(thm)],[28448, 28446])).
% 4.64/4.86 tff(28450,plain,
% 4.64/4.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.64/4.86 inference(quant_inst,[status(thm)],[])).
% 4.64/4.86 tff(28451,plain,
% 4.64/4.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28450, 28449])).
% 4.64/4.86 tff(28452,plain,
% 4.64/4.86 ($false),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28451, 338, 28445, 651, 28443, 28435, 28439])).
% 4.64/4.86 tff(28453,plain,((~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.86 tff(28454,plain,
% 4.64/4.86 (~b(s(z), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28453, 28263, 28431, 28262, 28260, 128, 28429, 28355, 28357])).
% 4.64/4.86 tff(28455,plain,
% 4.64/4.86 (r(s(z), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[26, 28454])).
% 4.64/4.86 tff(28456,plain,
% 4.64/4.86 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28335, 28455, 28262, 28263, 28429, 28357, 22295])).
% 4.64/4.86 tff(28457,plain,
% 4.64/4.86 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[68, 28456])).
% 4.64/4.86 tff(28458,plain,
% 4.64/4.86 (~r(s(z), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[21492, 28457, 28260, 128, 28455])).
% 4.64/4.86 tff(28459,plain,
% 4.64/4.86 (b(s(z), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[455, 28458])).
% 4.64/4.86 tff(28460,plain,
% 4.64/4.86 (~b(s(s(z)), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28451, 338, 651, 474, 540, 600])).
% 4.64/4.86 tff(28461,plain,
% 4.64/4.86 (r(s(s(z)), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[472, 28460])).
% 4.64/4.86 tff(28462,plain,
% 4.64/4.86 (~b(s(s(z)), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[951, 338, 651, 474, 540, 600, 555])).
% 4.64/4.86 tff(28463,plain,
% 4.64/4.86 (r(s(s(z)), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[956, 28462])).
% 4.64/4.86 tff(28464,plain,
% 4.64/4.86 ($false),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[17850, 82, 405, 28463, 28461])).
% 4.64/4.86 tff(28465,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.86 tff(28466,plain,
% 4.64/4.86 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28465, 28455, 28263, 28459, 28457, 28260])).
% 4.64/4.86 tff(28467,plain,
% 4.64/4.86 (r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[598, 28466, 61])).
% 4.64/4.86 tff(28468,plain,
% 4.64/4.86 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(rewrite,[status(thm)],[])).
% 4.64/4.86 tff(28469,plain,
% 4.64/4.86 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(z)))))) <=> ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(rewrite,[status(thm)],[])).
% 4.64/4.86 tff(28470,plain,
% 4.64/4.86 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28469])).
% 4.64/4.86 tff(28471,plain,
% 4.64/4.86 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(transitivity,[status(thm)],[28470, 28468])).
% 4.64/4.86 tff(28472,plain,
% 4.64/4.86 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(z))))))),
% 4.64/4.86 inference(quant_inst,[status(thm)],[])).
% 4.64/4.86 tff(28473,plain,
% 4.64/4.86 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28472, 28471])).
% 4.64/4.86 tff(28474,plain,
% 4.64/4.86 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28473, 82, 28357, 28467])).
% 4.64/4.86 tff(28475,plain,
% 4.64/4.86 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[534, 28474])).
% 4.64/4.86 tff(28476,plain,
% 4.64/4.86 (~b(s(s(z)), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[484, 28475, 28262, 28429, 28459])).
% 4.64/4.86 tff(28477,plain,
% 4.64/4.86 (r(s(s(z)), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[472, 28476])).
% 4.64/4.86 tff(28478,plain,
% 4.64/4.86 (~b(s(s(s(s(z)))), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28390, 28475, 28355, 22295, 28263, 28457, 28260, 128, 28455])).
% 4.64/4.86 tff(28479,plain,
% 4.64/4.86 (r(s(s(s(s(z)))), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[119, 28478])).
% 4.64/4.86 tff(28480,plain,
% 4.64/4.86 ($false),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[943, 82, 28479, 28477, 28467])).
% 4.64/4.86 tff(28481,plain,(r(s(s(s(s(z)))), z) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.86 tff(28482,plain,
% 4.64/4.86 (r(s(s(s(s(z)))), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28481, 62])).
% 4.64/4.86 tff(28483,plain,
% 4.64/4.86 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[3603, 426, 28482])).
% 4.64/4.86 tff(28484,plain,
% 4.64/4.86 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[689, 28483])).
% 4.64/4.86 tff(28485,plain,
% 4.64/4.86 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[10723, 426, 1122])).
% 4.64/4.86 tff(28486,plain,
% 4.64/4.86 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1011, 28485])).
% 4.64/4.86 tff(28487,plain,
% 4.64/4.86 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[3603, 426, 1122])).
% 4.64/4.86 tff(28488,plain,
% 4.64/4.86 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[689, 28487])).
% 4.64/4.86 tff(28489,plain,
% 4.64/4.86 (~r(s(s(s(z))), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[432, 426, 405])).
% 4.64/4.86 tff(28490,plain,
% 4.64/4.86 (b(s(s(s(z))), s(z))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[437, 28489])).
% 4.64/4.86 tff(28491,plain,
% 4.64/4.86 ($false),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[5782, 28490, 28488, 14542, 14544, 28486])).
% 4.64/4.86 tff(28492,plain,((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.86 tff(28493,plain,
% 4.64/4.86 (~r(s(z), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28492, 426, 28482])).
% 4.64/4.86 tff(28494,plain,
% 4.64/4.86 (b(s(z), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[26, 28493])).
% 4.64/4.86 tff(28495,plain,
% 4.64/4.86 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[21745, 13914, 72, 28494])).
% 4.64/4.86 tff(28496,plain,
% 4.64/4.86 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[368, 28495, 62])).
% 4.64/4.86 tff(28497,plain,
% 4.64/4.86 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28496])).
% 4.64/4.86 tff(28498,plain,
% 4.64/4.86 (s(elem!1) = s(s(s(z)))),
% 4.64/4.86 inference(transitivity,[status(thm)],[182, 28497, 44])).
% 4.64/4.86 tff(28499,plain,
% 4.64/4.86 (b(s(elem!1), elem!1) <=> b(s(s(s(z))), elem!1)),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28498])).
% 4.64/4.86 tff(28500,plain,
% 4.64/4.86 (b(s(s(s(z))), elem!1) <=> b(s(elem!1), elem!1)),
% 4.64/4.86 inference(symmetry,[status(thm)],[28499])).
% 4.64/4.86 tff(28501,plain,
% 4.64/4.86 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28498])).
% 4.64/4.86 tff(28502,plain,
% 4.64/4.86 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.64/4.86 inference(symmetry,[status(thm)],[28501])).
% 4.64/4.86 tff(28503,plain,
% 4.64/4.86 (s(s(z)) = elem!1),
% 4.64/4.86 inference(transitivity,[status(thm)],[53, 28502, 199])).
% 4.64/4.86 tff(28504,plain,
% 4.64/4.86 (b(s(s(s(z))), s(s(z))) <=> b(s(s(s(z))), elem!1)),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28503])).
% 4.64/4.86 tff(28505,plain,
% 4.64/4.86 (b(s(s(s(z))), s(s(z))) <=> b(s(elem!1), elem!1)),
% 4.64/4.86 inference(transitivity,[status(thm)],[28504, 28500])).
% 4.64/4.86 tff(28506,plain,
% 4.64/4.86 ((~b(s(s(s(z))), s(s(z)))) <=> (~b(s(elem!1), elem!1))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28505])).
% 4.64/4.86 tff(28507,plain,
% 4.64/4.86 (b(s(s(z)), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28503])).
% 4.64/4.86 tff(28508,plain,
% 4.64/4.86 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.86 inference(symmetry,[status(thm)],[28507])).
% 4.64/4.86 tff(28509,plain,
% 4.64/4.86 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28496])).
% 4.64/4.86 tff(28510,plain,
% 4.64/4.86 (b(elem!1, s(s(elem!1))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.86 inference(transitivity,[status(thm)],[28509, 28508])).
% 4.64/4.86 tff(28511,plain,
% 4.64/4.86 (~(elem!1 = s(s(elem!1)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[3236, 28496])).
% 4.64/4.86 tff(28512,plain,
% 4.64/4.86 (r(s(s(elem!1)), z) <=> r(s(s(s(s(z)))), z)),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28496])).
% 4.64/4.86 tff(28513,plain,
% 4.64/4.86 (r(s(s(s(s(z)))), z) <=> r(s(s(elem!1)), z)),
% 4.64/4.86 inference(symmetry,[status(thm)],[28512])).
% 4.64/4.86 tff(28514,plain,
% 4.64/4.86 (r(s(s(elem!1)), z)),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28482, 28513])).
% 4.64/4.86 tff(28515,plain,
% 4.64/4.86 (~b(z, s(s(elem!1)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[18489, 28496, 386])).
% 4.64/4.86 tff(28516,plain,
% 4.64/4.86 (r(z, s(s(elem!1)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[161, 28515])).
% 4.64/4.86 tff(28517,plain,
% 4.64/4.86 (~(s(z) = elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[10349, 28484, 62])).
% 4.64/4.86 tff(28518,plain,
% 4.64/4.86 (elem!1 = s(s(z))),
% 4.64/4.86 inference(transitivity,[status(thm)],[5450, 28501, 52])).
% 4.64/4.86 tff(28519,plain,
% 4.64/4.86 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28518])).
% 4.64/4.86 tff(28520,plain,
% 4.64/4.86 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.64/4.86 inference(symmetry,[status(thm)],[28519])).
% 4.64/4.86 tff(28521,plain,
% 4.64/4.86 (b(s(z), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[455, 20894])).
% 4.64/4.86 tff(28522,plain,
% 4.64/4.86 (b(s(s(z)), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[956, 3899])).
% 4.64/4.86 tff(28523,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.86 inference(rewrite,[status(thm)],[])).
% 4.64/4.86 tff(28524,plain,
% 4.64/4.86 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.86 inference(rewrite,[status(thm)],[])).
% 4.64/4.86 tff(28525,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28524])).
% 4.64/4.86 tff(28526,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.86 inference(transitivity,[status(thm)],[28525, 28523])).
% 4.64/4.86 tff(28527,plain,
% 4.64/4.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.86 inference(quant_inst,[status(thm)],[])).
% 4.64/4.86 tff(28528,plain,
% 4.64/4.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28527, 28526])).
% 4.64/4.86 tff(28529,plain,
% 4.64/4.86 ($false),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28528, 338, 486, 27332, 1740, 28522, 28521])).
% 4.64/4.86 tff(28530,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.86 tff(28531,plain,
% 4.64/4.86 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28530, 13914, 28494, 72, 28482, 19155])).
% 4.64/4.86 tff(28532,plain,
% 4.64/4.86 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[68, 28531])).
% 4.64/4.86 tff(28533,plain,
% 4.64/4.86 (b(s(s(s(s(z)))), elem!1)),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28532, 28520])).
% 4.64/4.86 tff(28534,plain,
% 4.64/4.86 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[10723, 426, 28482])).
% 4.64/4.86 tff(28535,plain,
% 4.64/4.86 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1011, 28534])).
% 4.64/4.86 tff(28536,plain,
% 4.64/4.86 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28496])).
% 4.64/4.86 tff(28537,plain,
% 4.64/4.86 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.64/4.86 inference(symmetry,[status(thm)],[28536])).
% 4.64/4.86 tff(28538,plain,
% 4.64/4.86 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28518])).
% 4.64/4.86 tff(28539,plain,
% 4.64/4.86 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.64/4.86 inference(symmetry,[status(thm)],[28538])).
% 4.64/4.86 tff(28540,plain,
% 4.64/4.86 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), elem!1)),
% 4.64/4.86 inference(transitivity,[status(thm)],[28539, 28537])).
% 4.64/4.86 tff(28541,plain,
% 4.64/4.86 ((~r(s(s(s(s(z)))), s(s(z)))) <=> (~r(s(s(elem!1)), elem!1))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28540])).
% 4.64/4.86 tff(28542,plain,
% 4.64/4.86 (~r(s(s(elem!1)), elem!1)),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28531, 28541])).
% 4.64/4.86 tff(28543,plain,
% 4.64/4.86 ((~r(s(s(s(s(z)))), s(s(z)))) <=> (~r(s(s(s(s(z)))), elem!1))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28539])).
% 4.64/4.86 tff(28544,plain,
% 4.64/4.86 (~r(s(s(s(s(z)))), elem!1)),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28531, 28543])).
% 4.64/4.86 tff(28545,plain,
% 4.64/4.86 (r(z, s(elem!1))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[189, 164, 178])).
% 4.64/4.86 tff(28546,plain,
% 4.64/4.86 (~r(z, elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[348, 28545, 162, 22355])).
% 4.64/4.86 tff(28547,plain,
% 4.64/4.86 (b(z, elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[360, 164, 22355, 178, 162])).
% 4.64/4.86 tff(28548,plain,
% 4.64/4.86 (~r(elem!1, s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[3247, 754, 72])).
% 4.64/4.86 tff(28549,plain,
% 4.64/4.86 (~r(z, s(s(s(elem!1))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[16828, 28548, 178, 25837, 17899, 28547, 8418, 164, 140])).
% 4.64/4.86 tff(28550,plain,
% 4.64/4.86 (b(z, s(s(s(elem!1))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1373, 28549])).
% 4.64/4.86 tff(28551,plain,
% 4.64/4.86 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[4229, 28550, 140, 17865])).
% 4.64/4.86 tff(28552,plain,
% 4.64/4.86 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[8741, 754, 17865])).
% 4.64/4.86 tff(28553,plain,
% 4.64/4.86 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[10701, 178, 987])).
% 4.64/4.86 tff(28554,plain,
% 4.64/4.86 (~(elem!1 = s(s(s(z))))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[22343, 19386])).
% 4.64/4.86 tff(28555,plain,
% 4.64/4.86 (~r(s(s(s(z))), elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[12500, 754, 427])).
% 4.64/4.86 tff(28556,plain,
% 4.64/4.86 (b(s(s(s(z))), elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1110, 28555, 22344])).
% 4.64/4.86 tff(28557,plain,
% 4.64/4.86 (~b(elem!1, s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[2389, 28556, 539, 987, 1130])).
% 4.64/4.86 tff(28558,plain,
% 4.64/4.86 (r(elem!1, s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1160, 28557, 28554])).
% 4.64/4.86 tff(28559,plain,
% 4.64/4.86 (~r(elem!1, z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[3397, 28558, 426])).
% 4.64/4.86 tff(28560,plain,
% 4.64/4.86 (b(elem!1, z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[846, 28559, 19404])).
% 4.64/4.86 tff(28561,plain,
% 4.64/4.86 (r(s(s(s(elem!1))), elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[16320, 28560, 787, 22355, 17882, 28547, 28553, 28550, 162, 28551])).
% 4.64/4.86 tff(28562,plain,
% 4.64/4.86 (~r(s(z), s(s(s(elem!1))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1862, 28561, 754])).
% 4.64/4.86 tff(28563,plain,
% 4.64/4.86 ((s(elem!1) = s(z)) <=> (s(s(s(z))) = s(z))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[183])).
% 4.64/4.86 tff(28564,plain,
% 4.64/4.86 ((s(s(s(z))) = s(z)) <=> (s(elem!1) = s(z))),
% 4.64/4.86 inference(symmetry,[status(thm)],[28563])).
% 4.64/4.86 tff(28565,plain,
% 4.64/4.86 ((s(s(s(z))) = s(z)) <=> (s(z) = s(elem!1))),
% 4.64/4.86 inference(transitivity,[status(thm)],[28564, 15631])).
% 4.64/4.86 tff(28566,plain,
% 4.64/4.86 ((~(s(s(s(z))) = s(z))) <=> (~(s(z) = s(elem!1)))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28565])).
% 4.64/4.86 tff(28567,plain,
% 4.64/4.86 (~(s(z) = s(elem!1))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[58, 28566])).
% 4.64/4.86 tff(28568,plain,
% 4.64/4.86 (~b(s(z), elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[18760, 28559, 1740, 19155, 19404, 28546])).
% 4.64/4.86 tff(28569,plain,
% 4.64/4.86 (r(elem!1, s(elem!1))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28558, 26698])).
% 4.64/4.86 tff(28570,plain,
% 4.64/4.86 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[2006, 28569, 28568, 28567, 28562, 28561, 25851])).
% 4.64/4.86 tff(28571,plain,
% 4.64/4.86 (b(elem!1, s(s(s(elem!1))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1946, 28570, 17899])).
% 4.64/4.86 tff(28572,plain,
% 4.64/4.86 (~r(s(s(s(elem!1))), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[13964, 28571, 25850, 28547, 22355, 28552, 28551, 323])).
% 4.64/4.86 tff(28573,plain,
% 4.64/4.86 (~b(s(s(s(elem!1))), z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1937, 28571, 28560, 28547, 28550])).
% 4.64/4.86 tff(28574,plain,
% 4.64/4.86 ($false),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1387, 28573, 28572])).
% 4.64/4.86 tff(28575,plain,((~r(s(z), elem!1)) | r(s(s(elem!1)), elem!1) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | b(z, s(s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | r(s(s(s(s(z)))), elem!1) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.86 tff(28576,plain,
% 4.64/4.86 (~r(s(z), elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28575, 164, 178, 787, 1740, 426, 140, 539, 987, 1130, 8418, 323, 72, 427])).
% 4.64/4.86 tff(28577,plain,
% 4.64/4.86 (b(s(z), elem!1)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[701, 28576, 691])).
% 4.64/4.86 tff(28578,plain,
% 4.64/4.86 (r(elem!1, z)),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[18760, 28577, 1740, 19155, 19404, 28546])).
% 4.64/4.86 tff(28579,plain,
% 4.64/4.86 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1081, 28578, 162])).
% 4.64/4.86 tff(28580,plain,
% 4.64/4.86 (b(elem!1, s(s(elem!1)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[321, 28579, 22355])).
% 4.64/4.86 tff(28581,plain,
% 4.64/4.86 (b(elem!1, s(s(s(s(z)))))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28580, 16803])).
% 4.64/4.86 tff(28582,plain,
% 4.64/4.86 (~r(elem!1, s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[3397, 28578, 426])).
% 4.64/4.86 tff(28583,plain,
% 4.64/4.86 (b(elem!1, s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1160, 28582, 28554])).
% 4.64/4.86 tff(28584,plain,
% 4.64/4.86 (~b(elem!1, s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[16751, 28583, 539, 1740, 28547, 28577])).
% 4.64/4.86 tff(28585,plain,
% 4.64/4.86 ($false),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28584, 28581])).
% 4.64/4.86 tff(28586,plain,((~r(z, s(s(s(z))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | (s(z) = elem!1) | (~r(s(s(elem!1)), z)) | b(z, s(s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | r(s(s(s(s(z)))), elem!1) | r(s(s(elem!1)), elem!1) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.86 tff(28587,plain,
% 4.64/4.86 (~r(z, s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28586, 28496, 28484, 28494, 426, 28517, 28514, 28515, 28535, 28533, 28544, 28542, 72, 427])).
% 4.64/4.86 tff(28588,plain,
% 4.64/4.86 (b(z, s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[149, 28587])).
% 4.64/4.86 tff(28589,plain,
% 4.64/4.86 ((~b(s(s(s(z))), s(s(z)))) <=> (~b(s(s(s(z))), elem!1))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[18017])).
% 4.64/4.86 tff(28590,plain,
% 4.64/4.86 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.86 inference(symmetry,[status(thm)],[17998])).
% 4.64/4.86 tff(28591,plain,
% 4.64/4.86 (~(elem!1 = s(s(s(s(z)))))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[25837, 18733])).
% 4.64/4.86 tff(28592,plain,
% 4.64/4.86 (b(elem!1, s(s(s(s(z)))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[1094, 28548, 28591])).
% 4.64/4.86 tff(28593,plain,
% 4.64/4.86 (b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28592, 28590])).
% 4.64/4.86 tff(28594,plain,
% 4.64/4.86 (~r(s(z), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[3345, 28558, 754])).
% 4.64/4.86 tff(28595,plain,
% 4.64/4.86 (b(s(z), s(s(s(z))))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[424, 28594])).
% 4.64/4.86 tff(28596,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(rewrite,[status(thm)],[])).
% 4.64/4.86 tff(28597,plain,
% 4.64/4.86 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(rewrite,[status(thm)],[])).
% 4.64/4.86 tff(28598,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.64/4.86 inference(monotonicity,[status(thm)],[28597])).
% 4.64/4.86 tff(28599,plain,
% 4.64/4.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.86 inference(transitivity,[status(thm)],[28598, 28596])).
% 4.64/4.86 tff(28600,plain,
% 4.64/4.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 4.64/4.86 inference(quant_inst,[status(thm)],[])).
% 4.64/4.86 tff(28601,plain,
% 4.64/4.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 4.64/4.86 tff(28602,plain,
% 4.64/4.86 (~b(s(s(s(z))), s(s(z)))),
% 4.64/4.86 inference(unit_resolution,[status(thm)],[28601, 338, 486, 28595, 3348, 539, 28593])).
% 4.64/4.86 tff(28603,plain,
% 4.64/4.86 (~b(s(s(s(z))), elem!1)),
% 4.64/4.86 inference(modus_ponens,[status(thm)],[28602, 28589])).
% 4.64/4.87 tff(28604,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28556, 28603])).
% 4.64/4.87 tff(28605,plain,((~r(s(z), elem!1)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28606,plain,
% 4.64/4.87 (~r(s(z), elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28605, 28496, 19155, 28588, 28484, 28535, 28533, 72, 427])).
% 4.64/4.87 tff(28607,plain,
% 4.64/4.87 (b(s(z), elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[701, 28606, 28517])).
% 4.64/4.87 tff(28608,plain,
% 4.64/4.87 ((z = elem!1) <=> (z = s(s(z)))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28518])).
% 4.64/4.87 tff(28609,plain,
% 4.64/4.87 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.64/4.87 inference(transitivity,[status(thm)],[28608, 3889])).
% 4.64/4.87 tff(28610,plain,
% 4.64/4.87 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.64/4.87 inference(symmetry,[status(thm)],[28609])).
% 4.64/4.87 tff(28611,plain,
% 4.64/4.87 ((s(s(z)) = z) <=> (elem!1 = z)),
% 4.64/4.87 inference(transitivity,[status(thm)],[28610, 2749])).
% 4.64/4.87 tff(28612,plain,
% 4.64/4.87 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28611])).
% 4.64/4.87 tff(28613,plain,
% 4.64/4.87 (~(elem!1 = z)),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[56, 28612])).
% 4.64/4.87 tff(28614,plain,
% 4.64/4.87 (~r(elem!1, z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[17270, 279, 787])).
% 4.64/4.87 tff(28615,plain,
% 4.64/4.87 (~r(z, elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[287, 279, 165])).
% 4.64/4.87 tff(28616,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[18760, 28615, 28614, 1740, 486, 719, 706])).
% 4.64/4.87 tff(28617,plain,((~r(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (elem!1 = z) | (~b(s(z), elem!1)) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28618,plain,
% 4.64/4.87 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28617, 28613, 19155, 28494, 28607, 28516, 28514])).
% 4.64/4.87 tff(28619,plain,
% 4.64/4.87 (b(elem!1, s(s(elem!1)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[321, 28618, 28511])).
% 4.64/4.87 tff(28620,plain,
% 4.64/4.87 (b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28619, 28510])).
% 4.64/4.87 tff(28621,plain,
% 4.64/4.87 (r(s(elem!1), z) <=> r(s(s(s(z))), z)),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28498])).
% 4.64/4.87 tff(28622,plain,
% 4.64/4.87 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 4.64/4.87 inference(symmetry,[status(thm)],[28621])).
% 4.64/4.87 tff(28623,plain,
% 4.64/4.87 (r(s(elem!1), z)),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[426, 28622])).
% 4.64/4.87 tff(28624,plain,
% 4.64/4.87 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28518])).
% 4.64/4.87 tff(28625,plain,
% 4.64/4.87 (b(s(z), s(s(z)))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28607, 28624])).
% 4.64/4.87 tff(28626,plain,
% 4.64/4.87 (~b(s(s(z)), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[13638, 28620, 28535, 28484, 28532])).
% 4.64/4.87 tff(28627,plain,
% 4.64/4.87 (r(s(s(z)), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[534, 28626])).
% 4.64/4.87 tff(28628,plain,
% 4.64/4.87 (~r(elem!1, z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[5187, 26700, 1815])).
% 4.64/4.87 tff(28629,plain,
% 4.64/4.87 (b(elem!1, z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[846, 28628, 19404])).
% 4.64/4.87 tff(28630,plain,
% 4.64/4.87 (b(s(s(z)), z)),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28629, 22399])).
% 4.64/4.87 tff(28631,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[11301, 338, 486, 1740, 24163, 28630, 474])).
% 4.64/4.87 tff(28632,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(elem!1), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28633,plain,
% 4.64/4.87 (~r(s(z), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28632, 28627, 28494, 28625, 28496, 28623, 19155])).
% 4.64/4.87 tff(28634,plain,
% 4.64/4.87 (b(s(z), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[424, 28633])).
% 4.64/4.87 tff(28635,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.87 inference(rewrite,[status(thm)],[])).
% 4.64/4.87 tff(28636,plain,
% 4.64/4.87 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.87 inference(rewrite,[status(thm)],[])).
% 4.64/4.87 tff(28637,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28636])).
% 4.64/4.87 tff(28638,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.87 inference(transitivity,[status(thm)],[28637, 28635])).
% 4.64/4.87 tff(28639,plain,
% 4.64/4.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 4.64/4.87 inference(quant_inst,[status(thm)],[])).
% 4.64/4.87 tff(28640,plain,
% 4.64/4.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28639, 28638])).
% 4.64/4.87 tff(28641,plain,
% 4.64/4.87 (~b(s(s(s(z))), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28640, 338, 28634, 28494, 28588, 28484, 28620])).
% 4.64/4.87 tff(28642,plain,
% 4.64/4.87 (~b(s(elem!1), elem!1)),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28641, 28506])).
% 4.64/4.87 tff(28643,plain,
% 4.64/4.87 (~(s(s(elem!1)) = elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[196, 28511])).
% 4.64/4.87 tff(28644,plain,
% 4.64/4.87 (~(s(elem!1) = elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[293, 28643])).
% 4.64/4.87 tff(28645,plain,
% 4.64/4.87 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(s(z))))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28498])).
% 4.64/4.87 tff(28646,plain,
% 4.64/4.87 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.64/4.87 inference(symmetry,[status(thm)],[28645])).
% 4.64/4.87 tff(28647,plain,
% 4.64/4.87 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28503])).
% 4.64/4.87 tff(28648,plain,
% 4.64/4.87 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.64/4.87 inference(transitivity,[status(thm)],[28647, 28646])).
% 4.64/4.87 tff(28649,plain,
% 4.64/4.87 (r(elem!1, s(elem!1))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28627, 28648])).
% 4.64/4.87 tff(28650,plain,
% 4.64/4.87 (~r(elem!1, z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[5187, 28649, 28623])).
% 4.64/4.87 tff(28651,plain,
% 4.64/4.87 (r(z, elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[18760, 28650, 28494, 19155, 28613, 28607])).
% 4.64/4.87 tff(28652,plain,
% 4.64/4.87 (~r(s(elem!1), elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[2764, 28651, 28623])).
% 4.64/4.87 tff(28653,plain,
% 4.64/4.87 (b(s(elem!1), elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[312, 28652, 28644])).
% 4.64/4.87 tff(28654,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28653, 28642])).
% 4.64/4.87 tff(28655,plain,(b(z, s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28656,plain,
% 4.64/4.87 (b(z, s(s(s(s(z)))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28655, 72, 427, 426, 62])).
% 4.64/4.87 tff(28657,plain,
% 4.64/4.87 (~b(s(z), s(s(elem!1)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[15164, 370, 1122, 1740, 486, 72])).
% 4.64/4.87 tff(28658,plain,
% 4.64/4.87 (r(s(z), s(s(elem!1)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[743, 28657])).
% 4.64/4.87 tff(28659,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[6953, 82, 28658, 72, 370])).
% 4.64/4.87 tff(28660,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28661,plain,
% 4.64/4.87 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28660, 72, 28482, 28494, 19155])).
% 4.64/4.87 tff(28662,plain,
% 4.64/4.87 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[368, 28661, 62])).
% 4.64/4.87 tff(28663,plain,
% 4.64/4.87 (r(s(s(elem!1)), z) <=> r(s(s(s(s(z)))), z)),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28662])).
% 4.64/4.87 tff(28664,plain,
% 4.64/4.87 (r(s(s(s(s(z)))), z) <=> r(s(s(elem!1)), z)),
% 4.64/4.87 inference(symmetry,[status(thm)],[28663])).
% 4.64/4.87 tff(28665,plain,
% 4.64/4.87 (r(s(s(elem!1)), z)),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28482, 28664])).
% 4.64/4.87 tff(28666,plain,
% 4.64/4.87 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28662])).
% 4.64/4.87 tff(28667,plain,
% 4.64/4.87 (s(elem!1) = s(s(s(z)))),
% 4.64/4.87 inference(transitivity,[status(thm)],[182, 28666, 44])).
% 4.64/4.87 tff(28668,plain,
% 4.64/4.87 (r(s(elem!1), z) <=> r(s(s(s(z))), z)),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28667])).
% 4.64/4.87 tff(28669,plain,
% 4.64/4.87 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 4.64/4.87 inference(symmetry,[status(thm)],[28668])).
% 4.64/4.87 tff(28670,plain,
% 4.64/4.87 (r(s(elem!1), z)),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[426, 28669])).
% 4.64/4.87 tff(28671,plain,
% 4.64/4.87 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[90, 70, 72])).
% 4.64/4.87 tff(28672,plain,
% 4.64/4.87 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[68, 28671])).
% 4.64/4.87 tff(28673,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[589, 82, 72, 70, 575])).
% 4.64/4.87 tff(28674,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28675,plain,
% 4.64/4.87 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28674, 70, 72])).
% 4.64/4.87 tff(28676,plain,
% 4.64/4.87 (b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[598, 28675, 61])).
% 4.64/4.87 tff(28677,plain,
% 4.64/4.87 (~b(s(s(z)), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[13638, 28676, 987, 539, 28672])).
% 4.64/4.87 tff(28678,plain,
% 4.64/4.87 (r(s(s(z)), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[534, 28677])).
% 4.64/4.87 tff(28679,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.87 inference(rewrite,[status(thm)],[])).
% 4.64/4.87 tff(28680,plain,
% 4.64/4.87 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.87 inference(rewrite,[status(thm)],[])).
% 4.64/4.87 tff(28681,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28680])).
% 4.64/4.87 tff(28682,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.87 inference(transitivity,[status(thm)],[28681, 28679])).
% 4.64/4.87 tff(28683,plain,
% 4.64/4.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 4.64/4.87 inference(quant_inst,[status(thm)],[])).
% 4.64/4.87 tff(28684,plain,
% 4.64/4.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28683, 28682])).
% 4.64/4.87 tff(28685,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28684, 338, 564, 1740, 475, 498, 540, 555])).
% 4.64/4.87 tff(28686,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28687,plain,
% 4.64/4.87 (~b(s(s(z)), s(z))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28686, 28678, 1740, 555, 164, 28672])).
% 4.64/4.87 tff(28688,plain,
% 4.64/4.87 (r(s(s(z)), s(z))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[472, 28687])).
% 4.64/4.87 tff(28689,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[2929, 82, 28678, 427, 28688])).
% 4.64/4.87 tff(28690,plain,((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28691,plain,
% 4.64/4.87 (~r(z, s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28690, 70, 1740, 555, 427, 987, 539, 72])).
% 4.64/4.87 tff(28692,plain,
% 4.64/4.87 (b(z, s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[149, 28691])).
% 4.64/4.87 tff(28693,plain,
% 4.64/4.87 (~r(s(z), elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28605, 28692, 486, 178, 539, 987, 1130, 72, 427])).
% 4.64/4.87 tff(28694,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28693, 19278])).
% 4.64/4.87 tff(28695,plain,((~r(s(z), s(s(z)))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), elem!1)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28696,plain,
% 4.64/4.87 (~r(s(z), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28695, 21505, 486, 539, 987, 178, 72, 427, 1740, 555])).
% 4.64/4.87 tff(28697,plain,
% 4.64/4.87 (b(s(z), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[455, 28696])).
% 4.64/4.87 tff(28698,plain,
% 4.64/4.87 (b(s(z), elem!1)),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28697, 21183])).
% 4.64/4.87 tff(28699,plain,
% 4.64/4.87 (~(s(elem!1) = elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[293, 25837])).
% 4.64/4.87 tff(28700,plain,
% 4.64/4.87 (b(s(elem!1), s(s(elem!1)))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[539, 17904])).
% 4.64/4.87 tff(28701,plain,
% 4.64/4.87 (b(s(s(z)), s(s(s(z)))) <=> b(elem!1, s(elem!1))),
% 4.64/4.87 inference(transitivity,[status(thm)],[19280, 18106])).
% 4.64/4.87 tff(28702,plain,
% 4.64/4.87 (b(elem!1, s(elem!1))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[476, 28701])).
% 4.64/4.87 tff(28703,plain,
% 4.64/4.87 (~b(s(elem!1), elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[8191, 28702, 28553, 21178, 28700])).
% 4.64/4.87 tff(28704,plain,
% 4.64/4.87 (r(s(elem!1), elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[312, 28703, 28699])).
% 4.64/4.87 tff(28705,plain,
% 4.64/4.87 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[13638, 476, 987, 539, 540])).
% 4.64/4.87 tff(28706,plain,
% 4.64/4.87 (r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[598, 28705, 61])).
% 4.64/4.87 tff(28707,plain,
% 4.64/4.87 (r(elem!1, s(s(elem!1)))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28706, 26703])).
% 4.64/4.87 tff(28708,plain,
% 4.64/4.87 (~r(elem!1, z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[17270, 28707, 787])).
% 4.64/4.87 tff(28709,plain,
% 4.64/4.87 (r(z, elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[18760, 28708, 1740, 486, 19404, 706])).
% 4.64/4.87 tff(28710,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[2764, 28709, 28704, 1815])).
% 4.64/4.87 tff(28711,plain,((~b(s(s(z)), s(s(s(z))))) | (~r(s(elem!1), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), elem!1)) | (~r(s(s(elem!1)), z)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28712,plain,
% 4.64/4.87 (~b(s(s(z)), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28711, 28698, 1740, 486, 1815, 787, 178, 987, 539, 540])).
% 4.64/4.87 tff(28713,plain,
% 4.64/4.87 (r(s(s(z)), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[534, 28712])).
% 4.64/4.87 tff(28714,plain,
% 4.64/4.87 (r(elem!1, s(elem!1))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28713, 26699])).
% 4.64/4.87 tff(28715,plain,
% 4.64/4.87 (~r(elem!1, z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[5187, 28714, 1815])).
% 4.64/4.87 tff(28716,plain,
% 4.64/4.87 (b(elem!1, z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[846, 28715, 19404])).
% 4.64/4.87 tff(28717,plain,
% 4.64/4.87 (b(s(s(z)), z)),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28716, 22399])).
% 4.64/4.87 tff(28718,plain,
% 4.64/4.87 (r(elem!1, s(s(s(z))))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28713, 17907])).
% 4.64/4.87 tff(28719,plain,
% 4.64/4.87 (r(z, elem!1)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[18760, 28715, 1740, 486, 19404, 28698])).
% 4.64/4.87 tff(28720,plain,
% 4.64/4.87 (~r(z, s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[3328, 28719, 28718])).
% 4.64/4.87 tff(28721,plain,
% 4.64/4.87 (b(z, s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[149, 28720])).
% 4.64/4.87 tff(28722,plain,
% 4.64/4.87 (~r(s(z), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28632, 28713, 1740, 28697, 178, 1815, 486])).
% 4.64/4.87 tff(28723,plain,
% 4.64/4.87 (b(s(z), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[424, 28722])).
% 4.64/4.87 tff(28724,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.87 inference(rewrite,[status(thm)],[])).
% 4.64/4.87 tff(28725,plain,
% 4.64/4.87 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.87 inference(rewrite,[status(thm)],[])).
% 4.64/4.87 tff(28726,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28725])).
% 4.64/4.87 tff(28727,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.87 inference(transitivity,[status(thm)],[28726, 28724])).
% 4.64/4.87 tff(28728,plain,
% 4.64/4.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.87 inference(quant_inst,[status(thm)],[])).
% 4.64/4.87 tff(28729,plain,
% 4.64/4.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 4.64/4.87 tff(28730,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28729, 338, 486, 28723, 1740, 28721, 28717, 28697])).
% 4.64/4.87 tff(28731,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(elem!1), z)) | (~r(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28732,plain,
% 4.64/4.87 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28731, 28662, 28494, 19155, 28670, 28665, 28535, 28484, 72, 427, 28656])).
% 4.64/4.87 tff(28733,plain,
% 4.64/4.87 (r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[68, 28732])).
% 4.64/4.87 tff(28734,plain,
% 4.64/4.87 (~r(s(z), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[90, 28733, 72])).
% 4.64/4.87 tff(28735,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[956, 21934, 3899])).
% 4.64/4.87 tff(28736,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28737,plain,
% 4.64/4.87 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28736, 71, 1122, 1740, 486])).
% 4.64/4.87 tff(28738,plain,
% 4.64/4.87 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[119, 28737])).
% 4.64/4.87 tff(28739,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.64/4.87 inference(rewrite,[status(thm)],[])).
% 4.64/4.87 tff(28740,plain,
% 4.64/4.87 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.64/4.87 inference(rewrite,[status(thm)],[])).
% 4.64/4.87 tff(28741,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(z))))))),
% 4.64/4.87 inference(monotonicity,[status(thm)],[28740])).
% 4.64/4.87 tff(28742,plain,
% 4.64/4.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.64/4.87 inference(transitivity,[status(thm)],[28741, 28739])).
% 4.64/4.87 tff(28743,plain,
% 4.64/4.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 4.64/4.87 inference(quant_inst,[status(thm)],[])).
% 4.64/4.87 tff(28744,plain,
% 4.64/4.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(z))))),
% 4.64/4.87 inference(modus_ponens,[status(thm)],[28743, 28742])).
% 4.64/4.87 tff(28745,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28744, 338, 486, 1740, 28522, 474, 28738, 555])).
% 4.64/4.87 tff(28746,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28747,plain,
% 4.64/4.87 (~b(s(z), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28746, 28733, 28494, 19155, 28656, 28482])).
% 4.64/4.87 tff(28748,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[455, 28747, 28734])).
% 4.64/4.87 tff(28749,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28750,plain,
% 4.64/4.87 (~r(s(z), s(s(s(s(z)))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28749, 427, 426, 62])).
% 4.64/4.87 tff(28751,plain,
% 4.64/4.87 (b(s(z), s(s(s(s(z)))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[106, 28750])).
% 4.64/4.87 tff(28752,assumption,(~b(s(z), s(s(z)))), introduced(assumption)).
% 4.64/4.87 tff(28753,plain,
% 4.64/4.87 (r(s(z), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[455, 28752])).
% 4.64/4.87 tff(28754,plain,
% 4.64/4.87 ($false),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[26392, 82, 70, 427, 2464])).
% 4.64/4.87 tff(28755,plain,((~r(s(s(s(z))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.87 tff(28756,plain,
% 4.64/4.87 (~r(s(s(s(z))), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28755, 28753, 427])).
% 4.64/4.87 tff(28757,plain,
% 4.64/4.87 (b(s(s(s(z))), s(s(z)))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[639, 28756])).
% 4.64/4.87 tff(28758,plain,
% 4.64/4.87 (~r(s(s(z)), z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[3898, 69, 28482])).
% 4.64/4.87 tff(28759,plain,
% 4.64/4.87 (b(s(s(z)), z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[956, 28758])).
% 4.64/4.87 tff(28760,plain,
% 4.64/4.87 (b(s(z), z)),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[26, 2])).
% 4.64/4.87 tff(28761,plain,
% 4.64/4.87 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[28736, 69, 28482, 28760, 486])).
% 4.64/4.87 tff(28762,plain,
% 4.64/4.87 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[119, 28761])).
% 4.64/4.87 tff(28763,plain,
% 4.64/4.87 (~b(s(z), s(s(s(z))))),
% 4.64/4.87 inference(unit_resolution,[status(thm)],[26532, 28762, 987, 539, 651])).
% 4.64/4.87 tff(28764,plain,
% 4.64/4.88 (r(s(z), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[424, 28763])).
% 4.64/4.88 tff(28765,plain,
% 4.64/4.88 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[13187, 28753, 28764])).
% 4.64/4.88 tff(28766,plain,
% 4.64/4.88 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[534, 28765])).
% 4.64/4.88 tff(28767,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.88 inference(rewrite,[status(thm)],[])).
% 4.64/4.88 tff(28768,plain,
% 4.64/4.88 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.88 inference(rewrite,[status(thm)],[])).
% 4.64/4.88 tff(28769,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[28768])).
% 4.64/4.88 tff(28770,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.88 inference(transitivity,[status(thm)],[28769, 28767])).
% 4.64/4.88 tff(28771,plain,
% 4.64/4.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.64/4.88 inference(quant_inst,[status(thm)],[])).
% 4.64/4.88 tff(28772,plain,
% 4.64/4.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28771, 28770])).
% 4.64/4.88 tff(28773,plain,
% 4.64/4.88 ($false),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28772, 338, 476, 21128, 987, 539, 600])).
% 4.64/4.88 tff(28774,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.88 tff(28775,plain,
% 4.64/4.88 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28774, 28766, 28757, 987, 539])).
% 4.64/4.88 tff(28776,plain,
% 4.64/4.88 (r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[598, 28775, 61])).
% 4.64/4.88 tff(28777,plain,
% 4.64/4.88 (~r(z, s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[379, 370, 13914])).
% 4.64/4.88 tff(28778,plain,
% 4.64/4.88 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.88 inference(symmetry,[status(thm)],[7460])).
% 4.64/4.88 tff(28779,plain,
% 4.64/4.88 (b(s(s(elem!1)), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[5940, 4476, 878])).
% 4.64/4.88 tff(28780,plain,
% 4.64/4.88 (b(s(z), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[3104, 4476, 28760])).
% 4.64/4.88 tff(28781,assumption,(~r(z, s(s(elem!1)))), introduced(assumption)).
% 4.64/4.88 tff(28782,plain,
% 4.64/4.88 (b(z, s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[161, 28781])).
% 4.64/4.88 tff(28783,plain,
% 4.64/4.88 (b(elem!1, s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[9178, 4476, 28782])).
% 4.64/4.88 tff(28784,plain,
% 4.64/4.88 (b(elem!1, s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[2787, 703, 486])).
% 4.64/4.88 tff(28785,plain,
% 4.64/4.88 (~b(s(z), s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[839, 28784, 28783, 28780, 28779])).
% 4.64/4.88 tff(28786,plain,
% 4.64/4.88 (r(s(z), s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[743, 28785])).
% 4.64/4.88 tff(28787,plain,
% 4.64/4.88 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[19136, 28786, 427])).
% 4.64/4.88 tff(28788,plain,
% 4.64/4.88 (b(s(s(s(z))), s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[6754, 28787, 871])).
% 4.64/4.88 tff(28789,plain,
% 4.64/4.88 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28788, 28778])).
% 4.64/4.88 tff(28790,plain,
% 4.64/4.88 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(s(z))))))),
% 4.64/4.88 inference(rewrite,[status(thm)],[])).
% 4.64/4.88 tff(28791,plain,
% 4.64/4.88 (((~r(z, s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, z))) <=> ((~r(z, z)) | (~r(z, s(s(s(z))))))),
% 4.64/4.88 inference(rewrite,[status(thm)],[])).
% 4.64/4.88 tff(28792,plain,
% 4.64/4.88 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(s(s(z)))))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[28791])).
% 4.64/4.88 tff(28793,plain,
% 4.64/4.88 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(s(z))))))),
% 4.64/4.88 inference(transitivity,[status(thm)],[28792, 28790])).
% 4.64/4.88 tff(28794,plain,
% 4.64/4.88 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, z)))),
% 4.64/4.88 inference(quant_inst,[status(thm)],[])).
% 4.64/4.88 tff(28795,plain,
% 4.64/4.88 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(s(z)))))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28794, 28793])).
% 4.64/4.88 tff(28796,plain,
% 4.64/4.88 (~r(z, z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28795, 82, 150])).
% 4.64/4.88 tff(28797,plain,
% 4.64/4.88 (~r(z, elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[10543, 4476, 28796])).
% 4.64/4.88 tff(28798,plain,
% 4.64/4.88 (~r(s(z), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[12117, 703, 2])).
% 4.64/4.88 tff(28799,plain,
% 4.64/4.88 (~(s(s(elem!1)) = elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[13678, 28798, 28785])).
% 4.64/4.88 tff(28800,plain,
% 4.64/4.88 (~(elem!1 = s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[2015, 28799])).
% 4.64/4.88 tff(28801,plain,
% 4.64/4.88 ((~b(s(s(s(s(z)))), s(s(z)))) <=> (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[2820])).
% 4.64/4.88 tff(28802,plain,
% 4.64/4.88 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[63, 28801])).
% 4.64/4.88 tff(28803,plain,
% 4.64/4.88 ((~r(z, s(s(elem!1)))) <=> (~r(elem!1, s(s(elem!1))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[2836])).
% 4.64/4.88 tff(28804,plain,
% 4.64/4.88 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28781, 28803])).
% 4.64/4.88 tff(28805,plain,
% 4.64/4.88 (~r(s(s(z)), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[3898, 69, 1122])).
% 4.64/4.88 tff(28806,plain,
% 4.64/4.88 (~r(s(s(elem!1)), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[9155, 703, 28805])).
% 4.64/4.88 tff(28807,plain,
% 4.64/4.88 (b(s(elem!1), elem!1)),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28780, 7781])).
% 4.64/4.88 tff(28808,plain,
% 4.64/4.88 (b(elem!1, s(elem!1))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28784, 7462])).
% 4.64/4.88 tff(28809,plain,
% 4.64/4.88 (~b(s(s(elem!1)), s(elem!1))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[346, 28808, 28807, 28800, 28806, 28804])).
% 4.64/4.88 tff(28810,plain,
% 4.64/4.88 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[1127, 150, 1122])).
% 4.64/4.88 tff(28811,plain,
% 4.64/4.88 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[1011, 28810])).
% 4.64/4.88 tff(28812,plain,
% 4.64/4.88 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[10701, 28811, 2605])).
% 4.64/4.88 tff(28813,plain,
% 4.64/4.88 ((~(s(s(elem!1)) = s(s(s(z))))) <=> (~(s(s(s(z))) = s(s(elem!1))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[4361])).
% 4.64/4.88 tff(28814,plain,
% 4.64/4.88 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[16893, 138, 8722])).
% 4.64/4.88 tff(28815,plain,
% 4.64/4.88 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28814, 28813])).
% 4.64/4.88 tff(28816,plain,
% 4.64/4.88 (~(s(z) = elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[873, 28815])).
% 4.64/4.88 tff(28817,plain,
% 4.64/4.88 (~(s(s(s(z))) = s(elem!1))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[10692, 28812])).
% 4.64/4.88 tff(28818,plain,
% 4.64/4.88 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[4794, 28817])).
% 4.64/4.88 tff(28819,plain,
% 4.64/4.88 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[10478, 1267, 28818])).
% 4.64/4.88 tff(28820,plain,
% 4.64/4.88 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[15263, 10491, 721])).
% 4.64/4.88 tff(28821,plain,
% 4.64/4.88 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[119, 28820])).
% 4.64/4.88 tff(28822,plain,
% 4.64/4.88 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[919, 13914, 150])).
% 4.64/4.88 tff(28823,plain,
% 4.64/4.88 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[689, 28822])).
% 4.64/4.88 tff(28824,plain,
% 4.64/4.88 (~b(s(s(s(z))), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[5782, 28823, 651, 28821, 28811])).
% 4.64/4.88 tff(28825,plain,
% 4.64/4.88 (r(s(s(s(z))), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[437, 28824])).
% 4.64/4.88 tff(28826,plain,
% 4.64/4.88 (~b(s(z), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[26532, 28823, 651, 28821, 28811])).
% 4.64/4.88 tff(28827,plain,
% 4.64/4.88 (r(s(z), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[424, 28826])).
% 4.64/4.88 tff(28828,plain,
% 4.64/4.88 (~r(s(s(s(z))), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[2890, 1731, 164])).
% 4.64/4.88 tff(28829,plain,
% 4.64/4.88 (b(s(s(s(z))), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[437, 28828])).
% 4.64/4.88 tff(28830,plain,
% 4.64/4.88 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[14739, 1731, 1122])).
% 4.64/4.88 tff(28831,plain,
% 4.64/4.88 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[119, 28830])).
% 4.64/4.88 tff(28832,plain,
% 4.64/4.88 (~b(s(z), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[5079, 28831, 651, 28829, 12514])).
% 4.64/4.88 tff(28833,plain,
% 4.64/4.88 (r(s(z), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[424, 28832])).
% 4.64/4.88 tff(28834,plain,
% 4.64/4.88 ($false),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[10335, 82, 28833, 1731, 164])).
% 4.64/4.88 tff(28835,plain,((~r(z, s(z))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.88 tff(28836,plain,
% 4.64/4.88 (~r(z, s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28835, 651, 150, 1122])).
% 4.64/4.88 tff(28837,plain,
% 4.64/4.88 (b(z, s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[403, 28836])).
% 4.64/4.88 tff(28838,plain,
% 4.64/4.88 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[14054, 786, 28825])).
% 4.64/4.88 tff(28839,plain,
% 4.64/4.88 (b(s(s(s(z))), s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[6754, 28838, 28815])).
% 4.64/4.88 tff(28840,plain,
% 4.64/4.88 (~r(s(z), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[414, 28827, 150])).
% 4.64/4.88 tff(28841,plain,
% 4.64/4.88 (b(s(z), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[26, 28840])).
% 4.64/4.88 tff(28842,plain,
% 4.64/4.88 ($false),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[23511, 82, 406, 786, 6890])).
% 4.64/4.88 tff(28843,plain,((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.88 tff(28844,plain,
% 4.64/4.88 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28843, 786, 28827])).
% 4.64/4.88 tff(28845,plain,
% 4.64/4.88 (b(s(s(elem!1)), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[6881, 28844, 28814])).
% 4.64/4.88 tff(28846,plain,
% 4.64/4.88 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[23277, 8808])).
% 4.64/4.88 tff(28847,plain,
% 4.64/4.88 (r(z, s(s(s(elem!1)))) <=> r(z, s(s(s(z))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[2997])).
% 4.64/4.88 tff(28848,plain,
% 4.64/4.88 (r(z, s(s(s(z)))) <=> r(z, s(s(s(elem!1))))),
% 4.64/4.88 inference(symmetry,[status(thm)],[28847])).
% 4.64/4.88 tff(28849,plain,
% 4.64/4.88 (r(z, s(s(s(z)))) <=> r(elem!1, s(s(s(elem!1))))),
% 4.64/4.88 inference(transitivity,[status(thm)],[28848, 2798])).
% 4.64/4.88 tff(28850,plain,
% 4.64/4.88 (r(elem!1, s(s(s(elem!1))))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[164, 28849])).
% 4.64/4.88 tff(28851,plain,
% 4.64/4.88 (~r(s(z), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[414, 406, 164])).
% 4.64/4.88 tff(28852,plain,
% 4.64/4.88 (b(s(z), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[26, 28851])).
% 4.64/4.88 tff(28853,plain,
% 4.64/4.88 (b(s(elem!1), elem!1)),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28852, 9187])).
% 4.64/4.88 tff(28854,plain,
% 4.64/4.88 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[9542, 9194, 406, 712, 28853, 28850])).
% 4.64/4.88 tff(28855,plain,
% 4.64/4.88 (r(s(s(z)), s(z))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[786, 9201])).
% 4.64/4.88 tff(28856,plain,
% 4.64/4.88 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(z)), s(s(s(z))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[2996, 2997])).
% 4.64/4.88 tff(28857,plain,
% 4.64/4.88 (b(s(s(z)), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.88 inference(symmetry,[status(thm)],[28856])).
% 4.64/4.88 tff(28858,plain,
% 4.64/4.88 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(z)), s(s(s(z))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[2996])).
% 4.64/4.88 tff(28859,plain,
% 4.64/4.88 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[3485, 28858])).
% 4.64/4.88 tff(28860,plain,
% 4.64/4.88 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28859, 28857])).
% 4.64/4.88 tff(28861,plain,
% 4.64/4.88 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[2996])).
% 4.64/4.88 tff(28862,plain,
% 4.64/4.88 (r(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[10491, 28861])).
% 4.64/4.88 tff(28863,plain,
% 4.64/4.88 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[9517, 28859, 987, 651, 712, 3218, 28862, 28860, 6387, 28855])).
% 4.64/4.88 tff(28864,plain,
% 4.64/4.88 ($false),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[7998, 28863, 28854, 28846])).
% 4.64/4.88 tff(28865,plain,((~(elem!1 = z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.88 tff(28866,plain,
% 4.64/4.88 (~(elem!1 = z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28865, 28845, 651, 2120, 6387, 28827, 150, 10491, 28811, 786, 28837])).
% 4.64/4.88 tff(28867,plain,
% 4.64/4.88 (~r(s(z), s(elem!1))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[8352, 264, 721])).
% 4.64/4.88 tff(28868,plain,
% 4.64/4.88 (b(s(z), s(elem!1))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[3066, 9077, 28867])).
% 4.64/4.88 tff(28869,plain,
% 4.64/4.88 (~(elem!1 = s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[16535, 4712, 386])).
% 4.64/4.88 tff(28870,plain,
% 4.64/4.88 ((~(elem!1 = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[1058])).
% 4.64/4.88 tff(28871,plain,
% 4.64/4.88 (~(s(s(s(s(z)))) = elem!1)),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[2444, 28870])).
% 4.64/4.88 tff(28872,plain,
% 4.64/4.88 (~r(s(z), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[3345, 1146, 406])).
% 4.64/4.88 tff(28873,plain,
% 4.64/4.88 (b(s(z), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[701, 28872, 691])).
% 4.64/4.88 tff(28874,plain,
% 4.64/4.88 (r(elem!1, z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[18760, 28873, 486, 719, 1729, 1740])).
% 4.64/4.88 tff(28875,plain,
% 4.64/4.88 (~r(s(s(s(s(z)))), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[3581, 82, 28874, 1122])).
% 4.64/4.88 tff(28876,plain,
% 4.64/4.88 (b(s(s(s(s(z)))), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[1144, 28875, 28871])).
% 4.64/4.88 tff(28877,plain,
% 4.64/4.88 (~r(elem!1, s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[3335, 1146, 427])).
% 4.64/4.88 tff(28878,plain,
% 4.64/4.88 (b(elem!1, s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[819, 28877, 697])).
% 4.64/4.88 tff(28879,plain,
% 4.64/4.88 (~r(elem!1, s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[3590, 82, 28874, 1122])).
% 4.64/4.88 tff(28880,plain,
% 4.64/4.88 (b(elem!1, s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[1094, 28879, 2444])).
% 4.64/4.88 tff(28881,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.64/4.88 inference(rewrite,[status(thm)],[])).
% 4.64/4.88 tff(28882,plain,
% 4.64/4.88 (((~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.64/4.88 inference(rewrite,[status(thm)],[])).
% 4.64/4.88 tff(28883,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[28882])).
% 4.64/4.88 tff(28884,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.64/4.88 inference(transitivity,[status(thm)],[28883, 28881])).
% 4.64/4.88 tff(28885,plain,
% 4.64/4.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))),
% 4.64/4.88 inference(quant_inst,[status(thm)],[])).
% 4.64/4.88 tff(28886,plain,
% 4.64/4.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28885, 28884])).
% 4.64/4.88 tff(28887,plain,
% 4.64/4.88 ($false),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28886, 338, 28873, 28880, 28878, 651, 2911, 28876])).
% 4.64/4.88 tff(28888,plain,((~r(elem!1, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (elem!1 = s(s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (elem!1 = z) | r(z, elem!1) | (~b(s(z), z)) | (s(z) = elem!1) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.88 tff(28889,plain,
% 4.64/4.88 (~r(elem!1, s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28888, 28869, 2911, 651, 1122, 486, 719, 1729, 1740, 691, 406, 427])).
% 4.64/4.88 tff(28890,plain,
% 4.64/4.88 (b(elem!1, s(s(s(z))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[1160, 28889, 1050])).
% 4.64/4.88 tff(28891,plain,
% 4.64/4.88 (r(elem!1, z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[18765, 878, 721, 8722, 137, 691, 719, 486, 1729, 1740])).
% 4.64/4.88 tff(28892,plain,
% 4.64/4.88 (~r(elem!1, s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[3590, 82, 28891, 1122])).
% 4.64/4.88 tff(28893,plain,
% 4.64/4.88 (b(elem!1, s(s(s(s(z)))))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[1094, 28892, 2444])).
% 4.64/4.88 tff(28894,plain,
% 4.64/4.88 (~b(s(z), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[16751, 28893, 4712, 1740, 2381, 539])).
% 4.64/4.88 tff(28895,plain,
% 4.64/4.88 (r(s(z), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[701, 28894, 691])).
% 4.64/4.88 tff(28896,plain,
% 4.64/4.88 (~r(elem!1, s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[8741, 28895, 721])).
% 4.64/4.88 tff(28897,plain,
% 4.64/4.88 (b(elem!1, s(s(elem!1)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[321, 28896, 137])).
% 4.64/4.88 tff(28898,plain,
% 4.64/4.88 (~r(s(s(elem!1)), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[7269, 28895, 721])).
% 4.64/4.88 tff(28899,plain,
% 4.64/4.88 (b(s(s(elem!1)), elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[327, 28898, 197])).
% 4.64/4.88 tff(28900,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.64/4.88 inference(rewrite,[status(thm)],[])).
% 4.64/4.88 tff(28901,plain,
% 4.64/4.88 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z))) <=> ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.64/4.88 inference(rewrite,[status(thm)],[])).
% 4.64/4.88 tff(28902,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[28901])).
% 4.64/4.88 tff(28903,plain,
% 4.64/4.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.64/4.88 inference(transitivity,[status(thm)],[28902, 28900])).
% 4.64/4.88 tff(28904,plain,
% 4.64/4.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), z)))),
% 4.64/4.88 inference(quant_inst,[status(thm)],[])).
% 4.64/4.88 tff(28905,plain,
% 4.64/4.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 4.64/4.88 tff(28906,plain,
% 4.64/4.88 ($false),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28905, 338, 4712, 28899, 28897, 878, 2381, 3254])).
% 4.64/4.88 tff(28907,plain,((~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (elem!1 = s(s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | (~b(z, s(z))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.88 tff(28908,plain,
% 4.64/4.88 (~b(s(s(elem!1)), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28907, 28890, 3254, 137, 721, 691, 1740, 539, 28869, 1122, 8722, 719, 486, 1729])).
% 4.64/4.88 tff(28909,plain,
% 4.64/4.88 (r(s(s(elem!1)), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[800, 28908])).
% 4.64/4.88 tff(28910,plain,
% 4.64/4.88 (~r(s(elem!1), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[5958, 28909, 264])).
% 4.64/4.88 tff(28911,plain,
% 4.64/4.88 (b(s(elem!1), z)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[1812, 28910])).
% 4.64/4.88 tff(28912,plain,
% 4.64/4.88 (~r(z, s(elem!1))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[9003, 28909, 264])).
% 4.64/4.88 tff(28913,plain,
% 4.64/4.88 (b(z, s(elem!1))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[1615, 28912])).
% 4.64/4.88 tff(28914,plain,
% 4.64/4.88 ($false),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[4302, 28913, 28911, 486, 1740, 28868])).
% 4.64/4.88 tff(28915,plain,((elem!1 = z) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(z))), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | r(z, elem!1) | (elem!1 = s(s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.88 tff(28916,plain,
% 4.64/4.88 (elem!1 = s(s(s(z)))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28915, 28866, 28841, 264, 28839, 137, 721, 28816, 28823, 1122, 8722, 1729, 28837, 28821, 651, 28827, 28825, 386])).
% 4.64/4.88 tff(28917,plain,
% 4.64/4.88 (b(z, elem!1) <=> b(z, s(s(s(z))))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[28916])).
% 4.64/4.88 tff(28918,plain,
% 4.64/4.88 (b(z, s(s(s(z)))) <=> b(z, elem!1)),
% 4.64/4.88 inference(symmetry,[status(thm)],[28917])).
% 4.64/4.88 tff(28919,plain,
% 4.64/4.88 ((~b(z, s(s(s(z))))) <=> (~b(z, elem!1))),
% 4.64/4.88 inference(monotonicity,[status(thm)],[28918])).
% 4.64/4.88 tff(28920,plain,
% 4.64/4.88 (~b(z, elem!1)),
% 4.64/4.88 inference(modus_ponens,[status(thm)],[138, 28919])).
% 4.64/4.88 tff(28921,plain,
% 4.64/4.88 (~(z = elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[2752, 28866])).
% 4.64/4.88 tff(28922,plain,
% 4.64/4.88 (b(z, elem!1)),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[353, 28921, 1729])).
% 4.64/4.88 tff(28923,plain,
% 4.64/4.88 ($false),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28922, 28920])).
% 4.64/4.88 tff(28924,plain,((~r(s(s(elem!1)), s(z))) | b(z, s(s(s(z)))) | r(z, elem!1) | (~r(s(s(elem!1)), s(elem!1))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | b(z, s(s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.88 tff(28925,plain,
% 4.64/4.88 (~r(s(s(elem!1)), s(z))),
% 4.64/4.88 inference(unit_resolution,[status(thm)],[28924, 386, 1729, 10433, 137, 721, 1122, 8722, 651, 138, 6387, 28819])).
% 4.64/4.88 tff(28926,plain,
% 4.64/4.88 (b(s(s(elem!1)), s(z))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[784, 28925])).
% 4.64/4.89 tff(28927,plain,
% 4.64/4.89 (~r(s(s(s(s(z)))), s(z))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[15263, 28819, 721])).
% 4.64/4.89 tff(28928,plain,
% 4.64/4.89 (b(s(s(s(s(z)))), s(z))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[119, 28927])).
% 4.64/4.89 tff(28929,plain,
% 4.64/4.89 (~b(s(z), s(s(s(z))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[26532, 28823, 651, 28928, 28811])).
% 4.64/4.89 tff(28930,plain,
% 4.64/4.89 (r(s(z), s(s(s(z))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[424, 28929])).
% 4.64/4.89 tff(28931,plain,
% 4.64/4.89 (~r(s(z), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[414, 28930, 150])).
% 4.64/4.89 tff(28932,plain,
% 4.64/4.89 (b(s(z), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[26, 28931])).
% 4.64/4.89 tff(28933,plain,
% 4.64/4.89 (b(elem!1, s(s(elem!1)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[321, 18289, 137])).
% 4.64/4.89 tff(28934,plain,
% 4.64/4.89 (b(s(s(elem!1)), elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[327, 18288, 197])).
% 4.64/4.89 tff(28935,plain,
% 4.64/4.89 (~b(s(s(elem!1)), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[18008, 338, 1021, 28934, 28933, 8722])).
% 4.64/4.89 tff(28936,plain,
% 4.64/4.89 (r(s(s(elem!1)), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[800, 28935])).
% 4.64/4.89 tff(28937,plain,
% 4.64/4.89 (~(s(s(s(s(z)))) = elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[10609, 28933, 1267])).
% 4.64/4.89 tff(28938,plain,
% 4.64/4.89 (~b(elem!1, z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[18293, 18289, 8722, 1021, 18288, 137])).
% 4.64/4.89 tff(28939,plain,
% 4.64/4.89 (r(elem!1, z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[846, 28938, 719])).
% 4.64/4.89 tff(28940,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[3581, 82, 802, 1147, 1122])).
% 4.64/4.89 tff(28941,plain,((~r(elem!1, z)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(28942,plain,
% 4.64/4.89 (~r(s(s(s(s(z)))), elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28941, 28939, 1122])).
% 4.64/4.89 tff(28943,plain,
% 4.64/4.89 (b(s(s(s(s(z)))), elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[1144, 28942, 28937])).
% 4.64/4.89 tff(28944,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.64/4.89 inference(rewrite,[status(thm)],[])).
% 4.64/4.89 tff(28945,plain,
% 4.64/4.89 (((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1))) <=> ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.64/4.89 inference(rewrite,[status(thm)],[])).
% 4.64/4.89 tff(28946,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28945])).
% 4.64/4.89 tff(28947,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.64/4.89 inference(transitivity,[status(thm)],[28946, 28944])).
% 4.64/4.89 tff(28948,plain,
% 4.64/4.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)))),
% 4.64/4.89 inference(quant_inst,[status(thm)],[])).
% 4.64/4.89 tff(28949,plain,
% 4.64/4.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 4.64/4.89 tff(28950,plain,
% 4.64/4.89 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28949, 338, 1021, 28934, 28933, 8722, 28943])).
% 4.64/4.89 tff(28951,plain,
% 4.64/4.89 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[368, 28950, 363])).
% 4.64/4.89 tff(28952,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[14044, 28951, 28936, 1122])).
% 4.64/4.89 tff(28953,plain,((~r(s(z), elem!1)) | (~r(s(s(s(s(z)))), z)) | (s(s(elem!1)) = s(s(s(s(z))))) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))) | (elem!1 = z) | b(s(s(s(s(z)))), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(28954,plain,
% 4.64/4.89 (~r(s(z), elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28953, 4712, 363, 1122, 8722, 719, 1267, 137, 721])).
% 4.64/4.89 tff(28955,plain,
% 4.64/4.89 (b(s(z), elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[701, 28954, 691])).
% 4.64/4.89 tff(28956,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.64/4.89 inference(rewrite,[status(thm)],[])).
% 4.64/4.89 tff(28957,plain,
% 4.64/4.89 (((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.64/4.89 inference(rewrite,[status(thm)],[])).
% 4.64/4.89 tff(28958,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28957])).
% 4.64/4.89 tff(28959,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.64/4.89 inference(transitivity,[status(thm)],[28958, 28956])).
% 4.64/4.89 tff(28960,plain,
% 4.64/4.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))))),
% 4.64/4.89 inference(quant_inst,[status(thm)],[])).
% 4.64/4.89 tff(28961,plain,
% 4.64/4.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[28960, 28959])).
% 4.64/4.89 tff(28962,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28961, 338, 4712, 8722, 28955, 486, 1740, 764])).
% 4.64/4.89 tff(28963,plain,((elem!1 = z) | (~b(z, s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (s(z) = elem!1) | (s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | b(s(s(s(s(z)))), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(28964,plain,
% 4.64/4.89 (elem!1 = z),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28963, 28932, 28837, 8722, 28926, 28816, 28812, 1122, 1267, 137, 721, 1729])).
% 4.64/4.89 tff(28965,plain,
% 4.64/4.89 (s(elem!1) = s(z)),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28964])).
% 4.64/4.89 tff(28966,plain,
% 4.64/4.89 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(elem!1)), s(z))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28965])).
% 4.64/4.89 tff(28967,plain,
% 4.64/4.89 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), s(elem!1))),
% 4.64/4.89 inference(symmetry,[status(thm)],[28966])).
% 4.64/4.89 tff(28968,plain,
% 4.64/4.89 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[28926, 28967])).
% 4.64/4.89 tff(28969,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[2605, 28968])).
% 4.64/4.89 tff(28970,plain,(b(z, s(s(s(s(z))))) | b(s(s(elem!1)), s(elem!1)) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | b(s(s(s(s(z)))), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | r(z, elem!1) | (~b(s(z), s(s(s(s(z)))))) | b(z, s(s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(28971,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28970, 28809, 28802, 1122, 28800, 28782, 138, 28786, 28797, 651, 386, 28789])).
% 4.64/4.89 tff(28972,plain,((~(z = elem!1)) | (~r(s(s(s(s(z)))), z)) | b(z, s(s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | b(z, s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(z))) | r(z, s(s(elem!1))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), z)) | r(s(z), z) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(28973,plain,
% 4.64/4.89 (~(z = elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28972, 28777, 1122, 651, 386, 63, 138, 871, 427, 14763, 2, 486])).
% 4.64/4.89 tff(28974,plain,
% 4.64/4.89 (~(s(elem!1) = s(z))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[1912, 28973])).
% 4.64/4.89 tff(28975,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[21954, 82, 575, 370, 17007])).
% 4.64/4.89 tff(28976,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(28977,plain,
% 4.64/4.89 (~r(s(s(elem!1)), s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28976, 370, 575])).
% 4.64/4.89 tff(28978,plain,
% 4.64/4.89 (~r(z, s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[4062, 69, 651, 28760, 486])).
% 4.64/4.89 tff(28979,plain,
% 4.64/4.89 (b(z, s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[563, 28978])).
% 4.64/4.89 tff(28980,plain,
% 4.64/4.89 (b(s(s(z)), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[956, 28805])).
% 4.64/4.89 tff(28981,plain,
% 4.64/4.89 (b(z, s(s(elem!1)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[161, 28777])).
% 4.64/4.89 tff(28982,plain,
% 4.64/4.89 (~b(s(s(elem!1)), s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[22104, 28981, 28980, 14763, 28979])).
% 4.64/4.89 tff(28983,plain,
% 4.64/4.89 (s(s(elem!1)) = s(s(z))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[22190, 28982, 28977])).
% 4.64/4.89 tff(28984,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[10916, 28983, 28974])).
% 4.64/4.89 tff(28985,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | b(z, s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(z))) | b(z, s(s(s(z)))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(z))), s(z))) | r(s(z), z) | (~b(z, s(z))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(28986,plain,
% 4.64/4.89 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28985, 138, 651, 386, 63, 28482, 871, 427, 2, 486, 575])).
% 4.64/4.89 tff(28987,plain,
% 4.64/4.89 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[368, 28986, 62])).
% 4.64/4.89 tff(28988,plain,
% 4.64/4.89 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[11454, 28987])).
% 4.64/4.89 tff(28989,plain,
% 4.64/4.89 (s(s(s(z))) = s(elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[4794, 28988])).
% 4.64/4.89 tff(28990,plain,
% 4.64/4.89 (~(s(s(elem!1)) = s(elem!1))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[5466, 28989])).
% 4.64/4.89 tff(28991,plain,
% 4.64/4.89 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[1280, 28990])).
% 4.64/4.89 tff(28992,plain,
% 4.64/4.89 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[2611, 28991])).
% 4.64/4.89 tff(28993,plain,
% 4.64/4.89 (~(elem!1 = s(s(elem!1)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[3236, 28987])).
% 4.64/4.89 tff(28994,plain,
% 4.64/4.89 (~(s(s(elem!1)) = elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[196, 28993])).
% 4.64/4.89 tff(28995,plain,
% 4.64/4.89 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[209, 28994])).
% 4.64/4.89 tff(28996,plain,
% 4.64/4.89 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28987])).
% 4.64/4.89 tff(28997,plain,
% 4.64/4.89 (s(elem!1) = s(s(s(z)))),
% 4.64/4.89 inference(transitivity,[status(thm)],[182, 28996, 44])).
% 4.64/4.89 tff(28998,plain,
% 4.64/4.89 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28997])).
% 4.64/4.89 tff(28999,plain,
% 4.64/4.89 (elem!1 = s(s(z))),
% 4.64/4.89 inference(transitivity,[status(thm)],[5450, 28998, 52])).
% 4.64/4.89 tff(29000,plain,
% 4.64/4.89 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28999])).
% 4.64/4.89 tff(29001,plain,
% 4.64/4.89 (b(s(z), s(s(z))) <=> b(s(z), elem!1)),
% 4.64/4.89 inference(symmetry,[status(thm)],[29000])).
% 4.64/4.89 tff(29002,plain,
% 4.64/4.89 ((~b(s(z), s(s(z)))) <=> (~b(s(z), elem!1))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[29001])).
% 4.64/4.89 tff(29003,plain,
% 4.64/4.89 (~b(s(z), elem!1)),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[28752, 29002])).
% 4.64/4.89 tff(29004,plain,
% 4.64/4.89 (s(elem!1) = s(s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[3985, 28989])).
% 4.64/4.89 tff(29005,plain,
% 4.64/4.89 (~(s(s(s(elem!1))) = elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[3655, 29004])).
% 4.64/4.89 tff(29006,plain,
% 4.64/4.89 (~b(z, s(s(elem!1)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[18489, 28987, 386])).
% 4.64/4.89 tff(29007,plain,
% 4.64/4.89 (r(z, s(s(elem!1)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[161, 29006])).
% 4.64/4.89 tff(29008,plain,
% 4.64/4.89 (b(z, elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[360, 29007, 150, 28987, 28993])).
% 4.64/4.89 tff(29009,plain,
% 4.64/4.89 (r(elem!1, s(s(elem!1))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28987])).
% 4.64/4.89 tff(29010,plain,
% 4.64/4.89 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(elem!1)))),
% 4.64/4.89 inference(symmetry,[status(thm)],[29009])).
% 4.64/4.89 tff(29011,plain,
% 4.64/4.89 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.64/4.89 inference(symmetry,[status(thm)],[28998])).
% 4.64/4.89 tff(29012,plain,
% 4.64/4.89 (s(s(z)) = elem!1),
% 4.64/4.89 inference(transitivity,[status(thm)],[53, 29011, 199])).
% 4.64/4.89 tff(29013,plain,
% 4.64/4.89 (r(s(s(z)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[29012])).
% 4.64/4.89 tff(29014,plain,
% 4.64/4.89 (r(s(s(z)), s(s(s(s(z))))) <=> r(elem!1, s(s(elem!1)))),
% 4.64/4.89 inference(transitivity,[status(thm)],[29013, 29010])).
% 4.64/4.89 tff(29015,plain,
% 4.64/4.89 (r(elem!1, s(s(elem!1)))),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[575, 29014])).
% 4.64/4.89 tff(29016,plain,
% 4.64/4.89 (~r(s(s(s(elem!1))), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[1309, 16245, 162])).
% 4.64/4.89 tff(29017,plain,
% 4.64/4.89 (b(s(s(s(elem!1))), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[1387, 29016])).
% 4.64/4.89 tff(29018,plain,
% 4.64/4.89 (~r(s(s(s(elem!1))), elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[2097, 1270, 140, 1318, 1271])).
% 4.64/4.89 tff(29019,plain,
% 4.64/4.89 (~r(elem!1, s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[4436, 16245, 279])).
% 4.64/4.89 tff(29020,plain,
% 4.64/4.89 (~r(z, s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[1361, 16245, 162])).
% 4.64/4.89 tff(29021,plain,
% 4.64/4.89 (b(z, s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[1373, 29020])).
% 4.64/4.89 tff(29022,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[4643, 29021, 29019, 1021, 29018, 1271, 29017])).
% 4.64/4.89 tff(29023,plain,(b(s(s(s(elem!1))), s(s(elem!1))) | (~b(z, elem!1)) | (s(s(s(elem!1))) = elem!1) | (~r(elem!1, s(s(elem!1)))) | b(z, s(s(elem!1))) | b(s(z), elem!1) | (s(s(s(elem!1))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(29024,plain,
% 4.64/4.89 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[29023, 29015, 29006, 29008, 29005, 29003, 28991])).
% 4.64/4.89 tff(29025,plain,
% 4.64/4.89 (r(z, s(elem!1))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[189, 28987, 150])).
% 4.64/4.89 tff(29026,plain,
% 4.64/4.89 (r(s(s(elem!1)), z) <=> r(s(s(s(s(z)))), z)),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28987])).
% 4.64/4.89 tff(29027,plain,
% 4.64/4.89 (r(s(s(s(s(z)))), z) <=> r(s(s(elem!1)), z)),
% 4.64/4.89 inference(symmetry,[status(thm)],[29026])).
% 4.64/4.89 tff(29028,plain,
% 4.64/4.89 (r(s(s(elem!1)), z)),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[28482, 29027])).
% 4.64/4.89 tff(29029,plain,
% 4.64/4.89 (b(s(s(elem!1)), s(elem!1))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[10701, 28987, 987])).
% 4.64/4.89 tff(29030,plain,
% 4.64/4.89 (b(elem!1, z) <=> b(s(s(z)), z)),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28999])).
% 4.64/4.89 tff(29031,plain,
% 4.64/4.89 (b(s(s(z)), z) <=> b(elem!1, z)),
% 4.64/4.89 inference(symmetry,[status(thm)],[29030])).
% 4.64/4.89 tff(29032,plain,
% 4.64/4.89 (b(elem!1, z)),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[28759, 29031])).
% 4.64/4.89 tff(29033,plain,
% 4.64/4.89 (b(s(s(elem!1)), s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28987])).
% 4.64/4.89 tff(29034,plain,
% 4.64/4.89 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 4.64/4.89 inference(symmetry,[status(thm)],[29033])).
% 4.64/4.89 tff(29035,plain,
% 4.64/4.89 (b(s(s(elem!1)), s(z))),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[28762, 29034])).
% 4.64/4.89 tff(29036,plain,
% 4.64/4.89 (r(s(z), elem!1) <=> r(s(z), s(s(z)))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[28999])).
% 4.64/4.89 tff(29037,plain,
% 4.64/4.89 (r(s(z), s(s(z))) <=> r(s(z), elem!1)),
% 4.64/4.89 inference(symmetry,[status(thm)],[29036])).
% 4.64/4.89 tff(29038,plain,
% 4.64/4.89 (r(s(z), elem!1)),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[28753, 29037])).
% 4.64/4.89 tff(29039,plain,
% 4.64/4.89 (b(s(z), s(s(elem!1)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[13911, 28988, 651])).
% 4.64/4.89 tff(29040,plain,
% 4.64/4.89 (~r(s(s(s(elem!1))), elem!1)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[10565, 29024, 29039, 29038, 29035])).
% 4.64/4.89 tff(29041,plain,
% 4.64/4.89 (~b(z, s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[16320, 29040, 29008, 28993, 29005, 29032, 29029, 29028, 29007, 29024])).
% 4.64/4.89 tff(29042,plain,
% 4.64/4.89 (r(z, s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[1373, 29041])).
% 4.64/4.89 tff(29043,plain,
% 4.64/4.89 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[8251, 29042, 29007, 29025, 29024, 28995])).
% 4.64/4.89 tff(29044,plain,
% 4.64/4.89 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[7217, 29042, 29028])).
% 4.64/4.89 tff(29045,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[2619, 29044, 29043, 28992])).
% 4.64/4.89 tff(29046,plain,(b(z, s(s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | b(s(z), s(s(z))) | (~b(s(z), s(s(s(s(z)))))) | b(z, s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(z))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(z))), s(z))) | r(s(z), z) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(29047,plain,
% 4.64/4.89 (b(z, s(s(s(z))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[29046, 28776, 28752, 651, 386, 987, 62, 63, 26859, 427, 2, 486])).
% 4.64/4.89 tff(29048,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[21147, 338, 28766, 28979, 29047, 28759, 28757])).
% 4.64/4.89 tff(29049,plain,(b(s(z), s(s(z))) | (~b(s(z), s(s(s(s(z)))))) | b(z, s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(z))) | (~r(s(s(s(z))), s(z))) | r(s(z), z) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(29050,plain,
% 4.64/4.89 (b(s(z), s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[29049, 63, 386, 987, 62, 651, 427, 2, 486, 539])).
% 4.64/4.89 tff(29051,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28528, 338, 486, 28979, 28760, 28759, 29050])).
% 4.64/4.89 tff(29052,plain,(b(s(s(s(s(z)))), s(s(z))) | (~b(z, s(z))) | b(z, s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | r(s(z), z) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(29053,plain,
% 4.64/4.89 (b(s(s(s(s(z)))), s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[29052, 386, 19155, 28535, 62, 28751, 427, 28493, 28484])).
% 4.64/4.89 tff(29054,plain,
% 4.64/4.89 (~r(s(s(s(z))), s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[28755, 70, 427])).
% 4.64/4.89 tff(29055,plain,
% 4.64/4.89 (b(s(s(s(z))), s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[639, 29054])).
% 4.64/4.89 tff(29056,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.89 inference(rewrite,[status(thm)],[])).
% 4.64/4.89 tff(29057,plain,
% 4.64/4.89 (((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.89 inference(rewrite,[status(thm)],[])).
% 4.64/4.89 tff(29058,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[29057])).
% 4.64/4.89 tff(29059,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.64/4.89 inference(transitivity,[status(thm)],[29058, 29056])).
% 4.64/4.89 tff(29060,plain,
% 4.64/4.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 4.64/4.89 inference(quant_inst,[status(thm)],[])).
% 4.64/4.89 tff(29061,plain,
% 4.64/4.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.64/4.89 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 4.64/4.89 tff(29062,plain,
% 4.64/4.89 (~b(s(z), s(s(s(z))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[29061, 338, 29055, 987, 651, 539, 540])).
% 4.64/4.89 tff(29063,plain,
% 4.64/4.89 (r(s(z), s(s(s(z))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[424, 29062])).
% 4.64/4.89 tff(29064,plain,
% 4.64/4.89 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[13187, 29063, 70])).
% 4.64/4.89 tff(29065,plain,
% 4.64/4.89 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[534, 29064])).
% 4.64/4.89 tff(29066,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[24236, 338, 29065, 29055, 987, 539, 540])).
% 4.64/4.89 tff(29067,plain,((~r(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(29068,plain,
% 4.64/4.89 (~r(s(z), s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[29067, 29053, 28484, 28535, 28751, 427])).
% 4.64/4.89 tff(29069,plain,
% 4.64/4.89 (b(s(z), s(s(z)))),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[455, 29068])).
% 4.64/4.89 tff(29070,plain,
% 4.64/4.89 ($false),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[21857, 82, 487, 426, 3893])).
% 4.64/4.89 tff(29071,plain,((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.89 tff(29072,plain,
% 4.64/4.89 (~r(s(s(z)), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[29071, 487, 426])).
% 4.64/4.89 tff(29073,plain,
% 4.64/4.89 (b(s(s(z)), z)),
% 4.64/4.89 inference(unit_resolution,[status(thm)],[956, 29072])).
% 4.64/4.89 tff(29074,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.64/4.89 inference(rewrite,[status(thm)],[])).
% 4.64/4.89 tff(29075,plain,
% 4.64/4.89 (((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.64/4.89 inference(rewrite,[status(thm)],[])).
% 4.64/4.89 tff(29076,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.64/4.89 inference(monotonicity,[status(thm)],[29075])).
% 4.64/4.89 tff(29077,plain,
% 4.64/4.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.64/4.89 inference(transitivity,[status(thm)],[29076, 29074])).
% 4.64/4.90 tff(29078,plain,
% 4.64/4.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.64/4.90 inference(quant_inst,[status(thm)],[])).
% 4.64/4.90 tff(29079,plain,
% 4.64/4.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.64/4.90 inference(modus_ponens,[status(thm)],[29078, 29077])).
% 4.64/4.90 tff(29080,plain,
% 4.64/4.90 (~b(s(s(z)), s(z))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[29079, 338, 1740, 29073, 651, 474, 540])).
% 4.64/4.90 tff(29081,plain,
% 4.64/4.90 (r(s(s(z)), s(z))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[472, 29080])).
% 4.64/4.90 tff(29082,plain,
% 4.64/4.90 ($false),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[2929, 82, 487, 427, 29081])).
% 4.64/4.90 tff(29083,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.90 tff(29084,plain,
% 4.64/4.90 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[29083, 29069, 28494, 28751, 427, 29053, 426])).
% 4.64/4.90 tff(29085,plain,
% 4.64/4.90 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[534, 29084])).
% 4.64/4.90 tff(29086,plain,
% 4.64/4.90 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[13638, 29085, 28535, 28484, 29053])).
% 4.64/4.90 tff(29087,plain,
% 4.64/4.90 (r(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[598, 29086, 61])).
% 4.64/4.90 tff(29088,plain,
% 4.64/4.90 (~r(s(s(z)), z)),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[18546, 82, 13914, 29087])).
% 4.64/4.90 tff(29089,plain,
% 4.64/4.90 (~b(s(z), s(s(s(z))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[29061, 338, 21128, 987, 651, 539, 540])).
% 4.64/4.90 tff(29090,plain,
% 4.64/4.90 (r(s(z), s(s(s(z))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[424, 29089])).
% 4.64/4.90 tff(29091,plain,
% 4.64/4.90 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[18536, 29090, 486, 164])).
% 4.64/4.90 tff(29092,plain,
% 4.64/4.90 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[534, 29091])).
% 4.64/4.90 tff(29093,plain,
% 4.64/4.90 ($false),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[24236, 338, 29092, 21128, 987, 539, 540])).
% 4.64/4.90 tff(29094,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.90 tff(29095,plain,
% 4.64/4.90 (~b(s(s(s(z))), s(s(z)))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[29094, 164, 539, 540, 486, 987, 651])).
% 4.64/4.90 tff(29096,plain,
% 4.64/4.90 (r(s(s(s(z))), s(s(z)))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[639, 29095])).
% 4.64/4.90 tff(29097,plain,
% 4.64/4.90 (~r(s(z), s(s(z)))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[28755, 29096, 427])).
% 4.64/4.90 tff(29098,plain,
% 4.64/4.90 (b(s(z), s(s(z)))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[455, 29097])).
% 4.64/4.90 tff(29099,plain,
% 4.64/4.90 (~b(s(s(z)), s(z))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[521, 487, 486, 164, 474])).
% 4.64/4.90 tff(29100,plain,
% 4.64/4.90 (r(s(s(z)), s(z))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[472, 29099])).
% 4.64/4.90 tff(29101,plain,
% 4.64/4.90 ($false),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[2929, 82, 487, 427, 29100])).
% 4.64/4.90 tff(29102,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.64/4.90 tff(29103,plain,
% 4.64/4.90 (~r(s(s(z)), s(s(s(z))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[29102, 164, 486, 427, 29098])).
% 4.64/4.90 tff(29104,plain,
% 4.64/4.90 (b(s(s(z)), s(s(s(z))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[534, 29103])).
% 4.64/4.90 tff(29105,plain,
% 4.64/4.90 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.64/4.90 inference(unit_resolution,[status(thm)],[13638, 29104, 987, 539, 540])).
% 4.64/4.90 tff(29106,plain,
% 4.64/4.90 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[598, 29105, 61])).
% 4.74/4.90 tff(29107,plain,
% 4.74/4.90 (~r(s(s(z)), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[18546, 82, 371, 29106])).
% 4.74/4.90 tff(29108,plain,
% 4.74/4.90 (b(s(s(z)), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[956, 29107])).
% 4.74/4.90 tff(29109,plain,
% 4.74/4.90 (~r(z, s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[18554, 82, 371, 29106])).
% 4.74/4.90 tff(29110,plain,
% 4.74/4.90 (b(z, s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[563, 29109])).
% 4.74/4.90 tff(29111,plain,
% 4.74/4.90 ($false),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28528, 338, 486, 29110, 1740, 29108, 29098])).
% 4.74/4.90 tff(29112,plain,((~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.90 tff(29113,plain,
% 4.74/4.90 (~r(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29112, 13914, 28494, 19155, 28535, 28484, 29053, 427, 28751])).
% 4.74/4.90 tff(29114,plain,
% 4.74/4.90 (b(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[149, 29113])).
% 4.74/4.90 tff(29115,plain,
% 4.74/4.90 (~b(s(s(z)), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3952, 338, 29085, 29114, 28751, 29069, 29053])).
% 4.74/4.90 tff(29116,plain,
% 4.74/4.90 ($false),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[956, 29115, 29088])).
% 4.74/4.90 tff(29117,plain,(b(z, s(s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.90 tff(29118,plain,
% 4.74/4.90 (b(z, s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29117, 427, 426, 62])).
% 4.74/4.90 tff(29119,plain,
% 4.74/4.90 (~b(s(s(s(s(z)))), s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3815, 29118, 19155, 28494, 28751])).
% 4.74/4.90 tff(29120,plain,
% 4.74/4.90 (r(s(s(s(s(z)))), s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[119, 29119])).
% 4.74/4.90 tff(29121,plain,
% 4.74/4.90 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28736, 29120, 28482, 28494, 19155])).
% 4.74/4.90 tff(29122,plain,
% 4.74/4.90 (b(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[68, 29121])).
% 4.74/4.90 tff(29123,plain,
% 4.74/4.90 (~r(s(z), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29067, 29122, 28484, 28535, 28751, 427])).
% 4.74/4.90 tff(29124,plain,
% 4.74/4.90 (b(s(z), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[455, 29123])).
% 4.74/4.90 tff(29125,plain,
% 4.74/4.90 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29083, 29124, 28494, 28751, 427, 29122, 426])).
% 4.74/4.90 tff(29126,plain,
% 4.74/4.90 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[534, 29125])).
% 4.74/4.90 tff(29127,plain,
% 4.74/4.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.90 inference(rewrite,[status(thm)],[])).
% 4.74/4.90 tff(29128,plain,
% 4.74/4.90 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.90 inference(rewrite,[status(thm)],[])).
% 4.74/4.90 tff(29129,plain,
% 4.74/4.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29128])).
% 4.74/4.90 tff(29130,plain,
% 4.74/4.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.90 inference(transitivity,[status(thm)],[29129, 29127])).
% 4.74/4.90 tff(29131,plain,
% 4.74/4.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 4.74/4.90 inference(quant_inst,[status(thm)],[])).
% 4.74/4.90 tff(29132,plain,
% 4.74/4.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 4.74/4.90 tff(29133,plain,
% 4.74/4.90 ($false),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29132, 338, 29126, 19155, 28535, 28751, 29122, 29118])).
% 4.74/4.90 tff(29134,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.90 tff(29135,plain,
% 4.74/4.90 (~r(s(s(s(z))), s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29134, 426, 62])).
% 4.74/4.90 tff(29136,plain,
% 4.74/4.90 (b(s(s(s(z))), s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[437, 29135])).
% 4.74/4.90 tff(29137,plain,
% 4.74/4.90 (~b(s(z), s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[5782, 28831, 987, 458, 539])).
% 4.74/4.90 tff(29138,plain,
% 4.74/4.90 (r(s(z), s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[106, 29137])).
% 4.74/4.90 tff(29139,plain,
% 4.74/4.90 (~r(z, s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[11465, 29138, 1731])).
% 4.74/4.90 tff(29140,plain,
% 4.74/4.90 (b(z, s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[391, 29139])).
% 4.74/4.90 tff(29141,plain,
% 4.74/4.90 (~b(s(z), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[21016, 28831, 987, 458, 539])).
% 4.74/4.90 tff(29142,plain,
% 4.74/4.90 (r(s(z), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[424, 29141])).
% 4.74/4.90 tff(29143,plain,
% 4.74/4.90 (~r(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[16605, 29142, 1731])).
% 4.74/4.90 tff(29144,plain,
% 4.74/4.90 (b(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[149, 29143])).
% 4.74/4.90 tff(29145,plain,
% 4.74/4.90 ($false),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[15094, 338, 29144, 458, 987, 28831, 539, 29140])).
% 4.74/4.90 tff(29146,plain,((~r(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.90 tff(29147,plain,
% 4.74/4.90 (~r(z, s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29146, 458, 987, 539, 1122])).
% 4.74/4.90 tff(29148,plain,
% 4.74/4.90 (b(z, s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[403, 29147])).
% 4.74/4.90 tff(29149,plain,
% 4.74/4.90 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28736, 71, 1122, 1740, 29148])).
% 4.74/4.90 tff(29150,plain,
% 4.74/4.90 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[119, 29149])).
% 4.74/4.90 tff(29151,plain,
% 4.74/4.90 (~b(s(z), s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[5782, 29150, 987, 458, 539])).
% 4.74/4.90 tff(29152,plain,
% 4.74/4.90 (r(s(z), s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[106, 29151])).
% 4.74/4.90 tff(29153,plain,
% 4.74/4.90 (~r(z, s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28530, 29152, 1740, 71, 1122, 29148])).
% 4.74/4.90 tff(29154,plain,
% 4.74/4.90 (b(z, s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[391, 29153])).
% 4.74/4.90 tff(29155,plain,
% 4.74/4.90 (~r(s(z), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[90, 29152, 71])).
% 4.74/4.90 tff(29156,plain,
% 4.74/4.90 (b(s(z), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[455, 29155])).
% 4.74/4.90 tff(29157,plain,
% 4.74/4.90 ($false),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28746, 29156, 29154, 1740, 29148, 71, 1122])).
% 4.74/4.90 tff(29158,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.90 tff(29159,plain,
% 4.74/4.90 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29158, 28494, 28482, 28535, 29136, 28484])).
% 4.74/4.90 tff(29160,plain,
% 4.74/4.90 (b(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[68, 29159])).
% 4.74/4.90 tff(29161,plain,
% 4.74/4.90 (~r(z, s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29146, 29136, 28535, 28484, 28482])).
% 4.74/4.90 tff(29162,plain,
% 4.74/4.90 (b(z, s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[403, 29161])).
% 4.74/4.90 tff(29163,plain,
% 4.74/4.90 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28660, 72, 28482, 28494, 29162])).
% 4.74/4.90 tff(29164,plain,
% 4.74/4.90 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[368, 29163, 62])).
% 4.74/4.90 tff(29165,plain,
% 4.74/4.90 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29164])).
% 4.74/4.90 tff(29166,plain,
% 4.74/4.90 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.74/4.90 inference(symmetry,[status(thm)],[29165])).
% 4.74/4.90 tff(29167,plain,
% 4.74/4.90 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29164])).
% 4.74/4.90 tff(29168,plain,
% 4.74/4.90 (s(elem!1) = s(s(s(z)))),
% 4.74/4.90 inference(transitivity,[status(thm)],[182, 29167, 44])).
% 4.74/4.90 tff(29169,plain,
% 4.74/4.90 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29168])).
% 4.74/4.90 tff(29170,plain,
% 4.74/4.90 (elem!1 = s(s(z))),
% 4.74/4.90 inference(transitivity,[status(thm)],[5450, 29169, 52])).
% 4.74/4.90 tff(29171,plain,
% 4.74/4.90 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29170])).
% 4.74/4.90 tff(29172,plain,
% 4.74/4.90 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.74/4.90 inference(symmetry,[status(thm)],[29171])).
% 4.74/4.90 tff(29173,plain,
% 4.74/4.90 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), elem!1)),
% 4.74/4.90 inference(transitivity,[status(thm)],[29172, 29166])).
% 4.74/4.90 tff(29174,plain,
% 4.74/4.90 ((~r(s(s(s(s(z)))), s(s(z)))) <=> (~r(s(s(elem!1)), elem!1))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29173])).
% 4.74/4.90 tff(29175,plain,
% 4.74/4.90 (~r(s(s(elem!1)), elem!1)),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[29159, 29174])).
% 4.74/4.90 tff(29176,plain,
% 4.74/4.90 (r(s(elem!1), z) <=> r(s(s(s(z))), z)),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29168])).
% 4.74/4.90 tff(29177,plain,
% 4.74/4.90 (r(s(s(s(z))), z) <=> r(s(elem!1), z)),
% 4.74/4.90 inference(symmetry,[status(thm)],[29176])).
% 4.74/4.90 tff(29178,plain,
% 4.74/4.90 (r(s(elem!1), z)),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[426, 29177])).
% 4.74/4.90 tff(29179,plain,
% 4.74/4.90 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29164])).
% 4.74/4.90 tff(29180,plain,
% 4.74/4.90 (~(elem!1 = s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3236, 29164])).
% 4.74/4.90 tff(29181,plain,
% 4.74/4.90 (r(s(s(elem!1)), z) <=> r(s(s(s(s(z)))), z)),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29164])).
% 4.74/4.90 tff(29182,plain,
% 4.74/4.90 (r(s(s(s(s(z)))), z) <=> r(s(s(elem!1)), z)),
% 4.74/4.90 inference(symmetry,[status(thm)],[29181])).
% 4.74/4.90 tff(29183,plain,
% 4.74/4.90 (r(s(s(elem!1)), z)),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[28482, 29182])).
% 4.74/4.90 tff(29184,plain,
% 4.74/4.90 ((z = elem!1) <=> (z = s(s(z)))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29170])).
% 4.74/4.90 tff(29185,plain,
% 4.74/4.90 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.74/4.90 inference(transitivity,[status(thm)],[29184, 3889])).
% 4.74/4.90 tff(29186,plain,
% 4.74/4.90 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.74/4.90 inference(symmetry,[status(thm)],[29185])).
% 4.74/4.90 tff(29187,plain,
% 4.74/4.90 ((s(s(z)) = z) <=> (elem!1 = z)),
% 4.74/4.90 inference(transitivity,[status(thm)],[29186, 2749])).
% 4.74/4.90 tff(29188,plain,
% 4.74/4.90 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29187])).
% 4.74/4.90 tff(29189,plain,
% 4.74/4.90 (~(elem!1 = z)),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[56, 29188])).
% 4.74/4.90 tff(29190,plain,
% 4.74/4.90 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29170])).
% 4.74/4.90 tff(29191,plain,
% 4.74/4.90 (b(s(z), s(s(z))) <=> b(s(z), elem!1)),
% 4.74/4.90 inference(symmetry,[status(thm)],[29190])).
% 4.74/4.90 tff(29192,plain,
% 4.74/4.90 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(z)))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29164])).
% 4.74/4.90 tff(29193,plain,
% 4.74/4.90 (r(s(z), s(s(s(s(z))))) <=> r(s(z), s(s(elem!1)))),
% 4.74/4.90 inference(symmetry,[status(thm)],[29192])).
% 4.74/4.90 tff(29194,plain,
% 4.74/4.90 (r(s(z), s(s(elem!1)))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[72, 29193])).
% 4.74/4.90 tff(29195,plain,
% 4.74/4.90 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[13638, 28676, 28535, 28484, 29160])).
% 4.74/4.90 tff(29196,plain,
% 4.74/4.90 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[534, 29195])).
% 4.74/4.90 tff(29197,plain,
% 4.74/4.90 (~r(s(z), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[13187, 29196, 70])).
% 4.74/4.90 tff(29198,plain,
% 4.74/4.90 (b(s(z), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[424, 29197])).
% 4.74/4.90 tff(29199,plain,
% 4.74/4.90 (~b(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3356, 29198, 28494, 29136, 29162])).
% 4.74/4.90 tff(29200,plain,
% 4.74/4.90 (r(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[149, 29199])).
% 4.74/4.90 tff(29201,plain,
% 4.74/4.90 (b(z, elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[360, 29200, 162, 29164, 29180])).
% 4.74/4.90 tff(29202,plain,
% 4.74/4.90 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[11454, 29164])).
% 4.74/4.90 tff(29203,plain,
% 4.74/4.90 (s(s(s(z))) = s(elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[4794, 29202])).
% 4.74/4.90 tff(29204,plain,
% 4.74/4.90 (s(elem!1) = s(s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3985, 29203])).
% 4.74/4.90 tff(29205,plain,
% 4.74/4.90 (~(s(s(s(elem!1))) = elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3655, 29204])).
% 4.74/4.90 tff(29206,plain,
% 4.74/4.90 (~(elem!1 = s(s(s(elem!1))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1924, 29205])).
% 4.74/4.90 tff(29207,plain,
% 4.74/4.90 (~(s(s(elem!1)) = elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[196, 29180])).
% 4.74/4.90 tff(29208,plain,
% 4.74/4.90 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1237, 28517])).
% 4.74/4.90 tff(29209,plain,
% 4.74/4.90 (r(s(z), elem!1) <=> r(s(z), s(s(z)))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29170])).
% 4.74/4.90 tff(29210,plain,
% 4.74/4.90 (r(s(z), s(s(z))) <=> r(s(z), elem!1)),
% 4.74/4.90 inference(symmetry,[status(thm)],[29209])).
% 4.74/4.90 tff(29211,plain,
% 4.74/4.90 (r(s(z), elem!1)),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[70, 29210])).
% 4.74/4.90 tff(29212,plain,
% 4.74/4.90 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[16828, 12640, 1021, 207, 1353, 12644, 1939, 164, 140])).
% 4.74/4.90 tff(29213,plain,
% 4.74/4.90 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[368, 29212, 62])).
% 4.74/4.90 tff(29214,plain,
% 4.74/4.90 (~r(s(s(elem!1)), s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[6732, 29213, 72])).
% 4.74/4.90 tff(29215,plain,
% 4.74/4.90 (b(s(s(elem!1)), s(z))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[784, 29214])).
% 4.74/4.90 tff(29216,plain,
% 4.74/4.90 (~r(s(z), s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[6953, 82, 72, 29213])).
% 4.74/4.90 tff(29217,plain,
% 4.74/4.90 (b(s(z), s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[743, 29216])).
% 4.74/4.90 tff(29218,plain,
% 4.74/4.90 (~b(s(s(elem!1)), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[6963, 29217, 1740, 486, 29215])).
% 4.74/4.90 tff(29219,plain,
% 4.74/4.90 (~r(s(s(elem!1)), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[10357, 29217, 426, 12141, 871, 457, 29215])).
% 4.74/4.90 tff(29220,plain,
% 4.74/4.90 ($false),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[800, 29219, 29218])).
% 4.74/4.90 tff(29221,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~b(z, elem!1)) | (s(s(elem!1)) = elem!1) | (~r(z, s(s(s(elem!1))))) | (elem!1 = s(s(s(elem!1)))) | (~r(z, s(s(s(z))))) | b(z, s(s(elem!1))) | (~r(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.90 tff(29222,plain,
% 4.74/4.90 (~r(z, s(s(s(elem!1))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29221, 29211, 426, 140, 29208, 29162, 62, 29198, 28494, 29207, 72, 29200, 29206, 29201])).
% 4.74/4.90 tff(29223,plain,
% 4.74/4.90 (b(z, s(s(s(elem!1))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1373, 29222])).
% 4.74/4.90 tff(29224,plain,
% 4.74/4.90 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[4229, 29223, 140, 29194])).
% 4.74/4.90 tff(29225,plain,
% 4.74/4.90 (~r(elem!1, s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[8741, 29211, 29194])).
% 4.74/4.90 tff(29226,plain,
% 4.74/4.90 (~(s(s(elem!1)) = s(elem!1))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[5466, 29203])).
% 4.74/4.90 tff(29227,plain,
% 4.74/4.90 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1280, 29226])).
% 4.74/4.90 tff(29228,plain,
% 4.74/4.90 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[2611, 29227])).
% 4.74/4.90 tff(29229,plain,
% 4.74/4.90 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[209, 29207])).
% 4.74/4.90 tff(29230,plain,
% 4.74/4.90 (b(elem!1, z) <=> b(s(s(z)), z)),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29170])).
% 4.74/4.90 tff(29231,plain,
% 4.74/4.90 (b(s(s(z)), z) <=> b(elem!1, z)),
% 4.74/4.90 inference(symmetry,[status(thm)],[29230])).
% 4.74/4.90 tff(29232,plain,
% 4.74/4.90 (~r(s(s(z)), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29071, 29196, 426])).
% 4.74/4.90 tff(29233,plain,
% 4.74/4.90 (b(s(s(z)), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[956, 29232])).
% 4.74/4.90 tff(29234,plain,
% 4.74/4.90 (b(elem!1, z)),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[29233, 29231])).
% 4.74/4.90 tff(29235,plain,
% 4.74/4.90 (~b(s(z), elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[7103, 29234, 28494, 29162, 29201])).
% 4.74/4.90 tff(29236,plain,
% 4.74/4.90 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(s(z))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29168])).
% 4.74/4.90 tff(29237,plain,
% 4.74/4.90 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.74/4.90 inference(symmetry,[status(thm)],[29236])).
% 4.74/4.90 tff(29238,plain,
% 4.74/4.90 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.74/4.90 inference(symmetry,[status(thm)],[29169])).
% 4.74/4.90 tff(29239,plain,
% 4.74/4.90 (s(s(z)) = elem!1),
% 4.74/4.90 inference(transitivity,[status(thm)],[53, 29238, 199])).
% 4.74/4.90 tff(29240,plain,
% 4.74/4.90 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29239])).
% 4.74/4.90 tff(29241,plain,
% 4.74/4.90 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.74/4.90 inference(transitivity,[status(thm)],[29240, 29237])).
% 4.74/4.90 tff(29242,plain,
% 4.74/4.90 (r(elem!1, s(elem!1))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[29196, 29241])).
% 4.74/4.90 tff(29243,plain,
% 4.74/4.90 ((s(elem!1) = s(z)) <=> (s(s(s(z))) = s(z))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29168])).
% 4.74/4.90 tff(29244,plain,
% 4.74/4.90 ((s(s(s(z))) = s(z)) <=> (s(elem!1) = s(z))),
% 4.74/4.90 inference(symmetry,[status(thm)],[29243])).
% 4.74/4.90 tff(29245,plain,
% 4.74/4.90 ((s(s(s(z))) = s(z)) <=> (s(z) = s(elem!1))),
% 4.74/4.90 inference(transitivity,[status(thm)],[29244, 15631])).
% 4.74/4.90 tff(29246,plain,
% 4.74/4.90 ((~(s(s(s(z))) = s(z))) <=> (~(s(z) = s(elem!1)))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29245])).
% 4.74/4.90 tff(29247,plain,
% 4.74/4.90 (~(s(z) = s(elem!1))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[58, 29246])).
% 4.74/4.90 tff(29248,plain,
% 4.74/4.90 (b(s(s(elem!1)), s(elem!1))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[10701, 29164, 28535])).
% 4.74/4.90 tff(29249,plain,
% 4.74/4.90 (r(s(s(s(elem!1))), elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[16320, 29223, 29201, 29180, 29205, 29234, 29248, 29183, 162, 29224])).
% 4.74/4.90 tff(29250,plain,
% 4.74/4.90 (~r(elem!1, s(s(s(elem!1))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[2009, 29249, 28517, 29247, 29242, 29235, 29229])).
% 4.74/4.90 tff(29251,plain,
% 4.74/4.90 (b(elem!1, s(s(s(elem!1))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1946, 29250, 29206])).
% 4.74/4.90 tff(29252,plain,
% 4.74/4.90 (~r(s(s(s(elem!1))), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[13964, 29251, 29228, 29201, 29180, 29225, 29224, 29175])).
% 4.74/4.90 tff(29253,plain,
% 4.74/4.90 (~b(s(s(s(elem!1))), z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1937, 29251, 29234, 29201, 29223])).
% 4.74/4.90 tff(29254,plain,
% 4.74/4.90 ($false),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1387, 29253, 29252])).
% 4.74/4.90 tff(29255,plain,((~r(s(z), s(s(z)))) | b(z, s(s(elem!1))) | (~r(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.90 tff(29256,plain,
% 4.74/4.90 (~r(s(z), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29255, 140, 426, 62, 72])).
% 4.74/4.90 tff(29257,plain,
% 4.74/4.90 (b(s(z), s(s(z)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[455, 29256])).
% 4.74/4.90 tff(29258,plain,
% 4.74/4.90 (b(s(z), elem!1)),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[29257, 29191])).
% 4.74/4.90 tff(29259,plain,
% 4.74/4.90 (~r(elem!1, s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28617, 29258, 29162, 28494, 162, 29189, 29183])).
% 4.74/4.90 tff(29260,plain,
% 4.74/4.90 (b(elem!1, s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[321, 29259, 29180])).
% 4.74/4.90 tff(29261,plain,
% 4.74/4.90 (b(elem!1, s(s(s(s(z)))))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[29260, 29179])).
% 4.74/4.90 tff(29262,plain,
% 4.74/4.90 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28711, 29258, 28494, 29162, 29178, 29183, 29164, 28535, 28484, 29160])).
% 4.74/4.90 tff(29263,plain,
% 4.74/4.90 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[534, 29262])).
% 4.74/4.90 tff(29264,plain,
% 4.74/4.90 (~r(s(z), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28632, 29263, 28494, 29178, 29257, 29164, 29162])).
% 4.74/4.90 tff(29265,plain,
% 4.74/4.90 (b(s(z), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[424, 29264])).
% 4.74/4.90 tff(29266,plain,
% 4.74/4.90 (~b(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3356, 29265, 28494, 29136, 29162])).
% 4.74/4.90 tff(29267,plain,
% 4.74/4.90 (r(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[149, 29266])).
% 4.74/4.90 tff(29268,plain,
% 4.74/4.90 (b(z, elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[360, 29267, 162, 29164, 29180])).
% 4.74/4.90 tff(29269,plain,
% 4.74/4.90 ((elem!1 = s(elem!1)) <=> (elem!1 = s(s(s(z))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29168])).
% 4.74/4.90 tff(29270,plain,
% 4.74/4.90 ((elem!1 = s(elem!1)) <=> (s(s(s(z))) = elem!1)),
% 4.74/4.90 inference(transitivity,[status(thm)],[29269, 1051])).
% 4.74/4.90 tff(29271,plain,
% 4.74/4.90 ((elem!1 = s(elem!1)) <=> (elem!1 = s(s(s(z))))),
% 4.74/4.90 inference(transitivity,[status(thm)],[29270, 1052])).
% 4.74/4.90 tff(29272,plain,
% 4.74/4.90 ((~(elem!1 = s(elem!1))) <=> (~(elem!1 = s(s(s(z)))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29271])).
% 4.74/4.90 tff(29273,plain,
% 4.74/4.90 (~(elem!1 = s(elem!1))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[231, 29226])).
% 4.74/4.90 tff(29274,plain,
% 4.74/4.90 (~(elem!1 = s(s(s(z))))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[29273, 29272])).
% 4.74/4.90 tff(29275,plain,
% 4.74/4.90 (r(z, s(elem!1))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[189, 29267, 29164])).
% 4.74/4.90 tff(29276,plain,
% 4.74/4.90 (~r(z, elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[348, 29275, 162, 29180])).
% 4.74/4.90 tff(29277,plain,
% 4.74/4.90 (r(elem!1, z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[18760, 29276, 28494, 29162, 29189, 29258])).
% 4.74/4.90 tff(29278,plain,
% 4.74/4.90 (~r(elem!1, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3397, 29277, 426])).
% 4.74/4.90 tff(29279,plain,
% 4.74/4.90 (b(elem!1, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1160, 29278, 29274])).
% 4.74/4.90 tff(29280,plain,
% 4.74/4.90 (~b(elem!1, s(s(s(s(z)))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[16751, 29279, 28484, 28494, 29258, 29268])).
% 4.74/4.90 tff(29281,plain,
% 4.74/4.90 ($false),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29280, 29261])).
% 4.74/4.90 tff(29282,plain,(b(z, s(s(elem!1))) | (~r(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.90 tff(29283,plain,
% 4.74/4.90 (b(z, s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[29282, 72, 62, 426])).
% 4.74/4.90 tff(29284,plain,
% 4.74/4.90 (r(s(s(elem!1)), s(s(z))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29164])).
% 4.74/4.90 tff(29285,plain,
% 4.74/4.90 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), s(s(z)))),
% 4.74/4.90 inference(symmetry,[status(thm)],[29284])).
% 4.74/4.90 tff(29286,plain,
% 4.74/4.90 ((~r(s(s(s(s(z)))), s(s(z)))) <=> (~r(s(s(elem!1)), s(s(z))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29285])).
% 4.74/4.90 tff(29287,plain,
% 4.74/4.90 (~r(s(s(elem!1)), s(s(z)))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[29159, 29286])).
% 4.74/4.90 tff(29288,plain,
% 4.74/4.90 (~b(s(z), elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[28711, 476, 1740, 486, 1815, 787, 178, 987, 539, 540])).
% 4.74/4.90 tff(29289,plain,
% 4.74/4.90 (r(s(z), elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[701, 29288, 691])).
% 4.74/4.90 tff(29290,plain,
% 4.74/4.90 (~b(s(z), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[593, 28706, 458, 72, 476])).
% 4.74/4.90 tff(29291,plain,
% 4.74/4.90 (r(s(z), s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[424, 29290])).
% 4.74/4.90 tff(29292,plain,
% 4.74/4.90 (~r(elem!1, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3345, 29291, 29289])).
% 4.74/4.90 tff(29293,plain,
% 4.74/4.90 (b(elem!1, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1160, 29292, 28554])).
% 4.74/4.90 tff(29294,plain,
% 4.74/4.90 (~b(s(s(s(z))), elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[2389, 29293, 539, 987, 21505])).
% 4.74/4.90 tff(29295,plain,
% 4.74/4.90 (r(s(s(s(z))), elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1110, 29294, 22344])).
% 4.74/4.90 tff(29296,plain,
% 4.74/4.90 ((s(s(s(elem!1))) = s(elem!1)) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[183])).
% 4.74/4.90 tff(29297,plain,
% 4.74/4.90 ((~(s(s(s(elem!1))) = s(elem!1))) <=> (~(s(s(s(elem!1))) = s(s(s(z)))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29296])).
% 4.74/4.90 tff(29298,plain,
% 4.74/4.90 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[22530, 29297])).
% 4.74/4.90 tff(29299,plain,
% 4.74/4.90 ((s(s(z)) = s(s(elem!1))) <=> (s(s(elem!1)) = s(s(z)))),
% 4.74/4.90 inference(symmetry,[status(thm)],[11240])).
% 4.74/4.90 tff(29300,plain,
% 4.74/4.90 ((s(s(z)) = s(s(elem!1))) <=> (s(s(z)) = s(s(s(s(z)))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[178])).
% 4.74/4.90 tff(29301,plain,
% 4.74/4.90 ((s(s(z)) = s(s(elem!1))) <=> (s(s(s(s(z)))) = s(s(z)))),
% 4.74/4.90 inference(transitivity,[status(thm)],[29300, 28])).
% 4.74/4.90 tff(29302,plain,
% 4.74/4.90 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(z)) = s(s(elem!1)))),
% 4.74/4.90 inference(symmetry,[status(thm)],[29301])).
% 4.74/4.90 tff(29303,plain,
% 4.74/4.90 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(elem!1)) = s(s(z)))),
% 4.74/4.90 inference(transitivity,[status(thm)],[29302, 29299])).
% 4.74/4.90 tff(29304,plain,
% 4.74/4.90 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(z))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29303])).
% 4.74/4.90 tff(29305,plain,
% 4.74/4.90 (~(s(s(elem!1)) = s(s(z)))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[60, 29304])).
% 4.74/4.90 tff(29306,plain,
% 4.74/4.90 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[178])).
% 4.74/4.90 tff(29307,plain,
% 4.74/4.90 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 4.74/4.90 inference(symmetry,[status(thm)],[29306])).
% 4.74/4.90 tff(29308,plain,
% 4.74/4.90 (b(s(s(elem!1)), s(s(s(z))))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[987, 29307])).
% 4.74/4.90 tff(29309,plain,
% 4.74/4.90 (b(s(s(s(z))), s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[10740, 17879, 539])).
% 4.74/4.90 tff(29310,plain,
% 4.74/4.90 ((s(s(s(elem!1))) = s(elem!1)) <=> (s(s(s(z))) = s(s(s(elem!1))))),
% 4.74/4.90 inference(transitivity,[status(thm)],[29296, 10447])).
% 4.74/4.90 tff(29311,plain,
% 4.74/4.90 ((~(s(s(s(elem!1))) = s(elem!1))) <=> (~(s(s(s(z))) = s(s(s(elem!1)))))),
% 4.74/4.90 inference(monotonicity,[status(thm)],[29310])).
% 4.74/4.90 tff(29312,plain,
% 4.74/4.90 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 4.74/4.90 inference(modus_ponens,[status(thm)],[22530, 29311])).
% 4.74/4.90 tff(29313,plain,
% 4.74/4.90 (~r(elem!1, s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[8741, 29289, 17865])).
% 4.74/4.90 tff(29314,plain,
% 4.74/4.90 (~r(z, elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[3164, 29295, 29289])).
% 4.74/4.90 tff(29315,plain,
% 4.74/4.90 (b(z, elem!1)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[353, 29314, 16907])).
% 4.74/4.90 tff(29316,plain,
% 4.74/4.90 (~b(elem!1, z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[18293, 29315, 22355, 8722, 29313, 323])).
% 4.74/4.90 tff(29317,plain,
% 4.74/4.90 (r(elem!1, z)),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[846, 29316, 19404])).
% 4.74/4.90 tff(29318,plain,
% 4.74/4.90 (~b(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[8473, 29317, 539, 458, 1740, 28554, 72, 21505, 22344, 486])).
% 4.74/4.90 tff(29319,plain,
% 4.74/4.90 (r(z, s(s(s(z))))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[149, 29318])).
% 4.74/4.90 tff(29320,plain,
% 4.74/4.90 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[18358, 29319, 29312, 18337, 29309, 29308, 8722, 476, 29305])).
% 4.74/4.90 tff(29321,plain,
% 4.74/4.90 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.90 inference(unit_resolution,[status(thm)],[1292, 29320, 25819])).
% 4.74/4.91 tff(29322,plain,
% 4.74/4.91 (~r(s(s(s(elem!1))), s(z))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[4215, 29321, 17865])).
% 4.74/4.91 tff(29323,plain,
% 4.74/4.91 (b(s(s(s(elem!1))), s(z))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1990, 29322])).
% 4.74/4.91 tff(29324,plain,
% 4.74/4.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), elem!1)))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29325,plain,
% 4.74/4.91 (((~r(s(s(s(z))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), elem!1)))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29326,plain,
% 4.74/4.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), elem!1))))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29325])).
% 4.74/4.91 tff(29327,plain,
% 4.74/4.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), elem!1)))),
% 4.74/4.91 inference(transitivity,[status(thm)],[29326, 29324])).
% 4.74/4.91 tff(29328,plain,
% 4.74/4.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))))),
% 4.74/4.91 inference(quant_inst,[status(thm)],[])).
% 4.74/4.91 tff(29329,plain,
% 4.74/4.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), elem!1)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), elem!1))),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29328, 29327])).
% 4.74/4.91 tff(29330,plain,
% 4.74/4.91 (~r(s(z), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29329, 82, 754, 3125])).
% 4.74/4.91 tff(29331,plain,
% 4.74/4.91 (b(s(z), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[424, 29330])).
% 4.74/4.91 tff(29332,plain,
% 4.74/4.91 (~r(s(s(s(z))), s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[15424, 82, 1269, 3125])).
% 4.74/4.91 tff(29333,plain,
% 4.74/4.91 (b(s(s(s(z))), s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[3782, 21, 3772, 29332])).
% 4.74/4.91 tff(29334,plain,
% 4.74/4.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29335,plain,
% 4.74/4.91 (((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z)))))) <=> ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29336,plain,
% 4.74/4.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z)))))))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29335])).
% 4.74/4.91 tff(29337,plain,
% 4.74/4.91 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 4.74/4.91 inference(transitivity,[status(thm)],[29336, 29334])).
% 4.74/4.91 tff(29338,plain,
% 4.74/4.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z))))))),
% 4.74/4.91 inference(quant_inst,[status(thm)],[])).
% 4.74/4.91 tff(29339,plain,
% 4.74/4.91 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(elem!1))), s(s(s(z)))))),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 4.74/4.91 tff(29340,plain,
% 4.74/4.91 (~r(s(s(s(elem!1))), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29339, 82, 1269, 3125])).
% 4.74/4.91 tff(29341,plain,
% 4.74/4.91 (b(s(s(s(elem!1))), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[3792, 21, 3301, 29340])).
% 4.74/4.91 tff(29342,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[19028, 29341, 29333, 458, 5431, 29331, 1871])).
% 4.74/4.91 tff(29343,plain,((~r(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(elem!1))), s(z))) | (s(s(s(elem!1))) = s(s(s(z)))) | (~r(s(z), elem!1)) | (~r(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29344,plain,
% 4.74/4.91 (~r(s(s(s(elem!1))), elem!1)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29343, 29323, 29298, 29289, 458, 29295])).
% 4.74/4.91 tff(29345,plain,
% 4.74/4.91 (b(s(s(s(elem!1))), elem!1)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[2162, 29344, 17882])).
% 4.74/4.91 tff(29346,plain,
% 4.74/4.91 (~r(s(s(s(elem!1))), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[8977, 29321, 787])).
% 4.74/4.91 tff(29347,plain,
% 4.74/4.91 (b(s(s(s(elem!1))), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1387, 29346])).
% 4.74/4.91 tff(29348,plain,
% 4.74/4.91 (~r(s(z), s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[4223, 29321, 17865])).
% 4.74/4.91 tff(29349,plain,
% 4.74/4.91 (b(s(z), s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1870, 29348])).
% 4.74/4.91 tff(29350,plain,
% 4.74/4.91 (~b(z, s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1888, 29347, 1740, 29322, 29349])).
% 4.74/4.91 tff(29351,plain,
% 4.74/4.91 (r(z, s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1373, 29350])).
% 4.74/4.91 tff(29352,plain,
% 4.74/4.91 (b(elem!1, s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[6374, 29351, 29316, 29347, 19404])).
% 4.74/4.91 tff(29353,plain,
% 4.74/4.91 (~r(elem!1, s(elem!1))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[5187, 29317, 1815])).
% 4.74/4.91 tff(29354,plain,
% 4.74/4.91 (b(elem!1, s(elem!1))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[252, 29353, 22343])).
% 4.74/4.91 tff(29355,plain,
% 4.74/4.91 (r(z, s(elem!1))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[189, 29319, 178])).
% 4.74/4.91 tff(29356,plain,
% 4.74/4.91 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[7166, 29351, 29355])).
% 4.74/4.91 tff(29357,plain,
% 4.74/4.91 (b(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1515, 29356, 25851])).
% 4.74/4.91 tff(29358,plain,
% 4.74/4.91 (~r(s(s(s(elem!1))), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[16343, 29351, 29319])).
% 4.74/4.91 tff(29359,plain,
% 4.74/4.91 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[18171, 29358, 178])).
% 4.74/4.91 tff(29360,plain,
% 4.74/4.91 (b(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1971, 29359, 22530])).
% 4.74/4.91 tff(29361,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[23319, 29360, 29357, 29354, 29352, 29345])).
% 4.74/4.91 tff(29362,plain,((~b(s(s(z)), s(s(s(z))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~r(s(s(elem!1)), z)) | r(s(s(elem!1)), s(s(z))) | (~b(z, s(s(elem!1)))) | (~r(s(elem!1), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | r(s(s(elem!1)), elem!1) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(z) = elem!1) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29363,plain,
% 4.74/4.91 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29362, 29164, 28494, 29136, 29183, 29287, 29283, 29178, 28484, 72, 29162, 29175, 28535, 28517, 29160])).
% 4.74/4.91 tff(29364,plain,
% 4.74/4.91 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[534, 29363])).
% 4.74/4.91 tff(29365,plain,
% 4.74/4.91 (r(elem!1, s(s(s(z))))),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29364, 29240])).
% 4.74/4.91 tff(29366,plain,
% 4.74/4.91 ((~(s(s(z)) = z)) <=> (~(z = elem!1))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29186])).
% 4.74/4.91 tff(29367,plain,
% 4.74/4.91 (~(z = elem!1)),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[56, 29366])).
% 4.74/4.91 tff(29368,plain,
% 4.74/4.91 (r(elem!1, s(elem!1))),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29364, 29241])).
% 4.74/4.91 tff(29369,plain,
% 4.74/4.91 (~r(elem!1, z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[5187, 29368, 29178])).
% 4.74/4.91 tff(29370,plain,
% 4.74/4.91 (~r(s(s(z)), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29071, 29364, 426])).
% 4.74/4.91 tff(29371,plain,
% 4.74/4.91 (b(s(s(z)), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[956, 29370])).
% 4.74/4.91 tff(29372,plain,
% 4.74/4.91 (b(elem!1, z)),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29371, 29231])).
% 4.74/4.91 tff(29373,plain,
% 4.74/4.91 (r(elem!1, s(s(elem!1)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[18293, 4536, 137, 8722, 1131, 323])).
% 4.74/4.91 tff(29374,plain,
% 4.74/4.91 (~b(s(z), elem!1)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[18760, 1729, 1740, 486, 719, 864])).
% 4.74/4.91 tff(29375,plain,
% 4.74/4.91 (r(s(z), elem!1)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[701, 29374, 691])).
% 4.74/4.91 tff(29376,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[8741, 29375, 29373, 721])).
% 4.74/4.91 tff(29377,plain,(r(z, elem!1) | (~r(s(z), s(s(elem!1)))) | (s(z) = elem!1) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | r(s(s(elem!1)), elem!1) | (~b(s(z), z)) | (~b(z, s(z))) | (elem!1 = z) | r(elem!1, z) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29378,plain,
% 4.74/4.91 (r(z, elem!1)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29377, 29194, 28517, 29180, 29283, 29372, 29175, 28494, 29162, 29189, 29369, 29367])).
% 4.74/4.91 tff(29379,plain,
% 4.74/4.91 (~r(z, s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[3328, 29378, 29365])).
% 4.74/4.91 tff(29380,plain,
% 4.74/4.91 (b(z, s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[149, 29379])).
% 4.74/4.91 tff(29381,plain,
% 4.74/4.91 (~b(s(z), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[3356, 29380, 28494, 29136, 29162])).
% 4.74/4.91 tff(29382,plain,
% 4.74/4.91 (r(s(z), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[424, 29381])).
% 4.74/4.91 tff(29383,plain,
% 4.74/4.91 (~b(s(z), s(s(z)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[28632, 29382, 28494, 29178, 29364, 29164, 29162])).
% 4.74/4.91 tff(29384,plain,
% 4.74/4.91 (~r(s(z), s(s(z)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[13187, 29382, 29364])).
% 4.74/4.91 tff(29385,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[455, 29384, 29383])).
% 4.74/4.91 tff(29386,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29387,plain,
% 4.74/4.91 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29386, 426, 62])).
% 4.74/4.91 tff(29388,plain,
% 4.74/4.91 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[106, 29387])).
% 4.74/4.91 tff(29389,plain,
% 4.74/4.91 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29390,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29389])).
% 4.74/4.91 tff(29391,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.91 inference(transitivity,[status(thm)],[29390, 24416])).
% 4.74/4.91 tff(29392,plain,
% 4.74/4.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.91 inference(quant_inst,[status(thm)],[])).
% 4.74/4.91 tff(29393,plain,
% 4.74/4.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29392, 29391])).
% 4.74/4.91 tff(29394,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29393, 338, 476, 458, 987, 651, 539, 540])).
% 4.74/4.91 tff(29395,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29396,plain,
% 4.74/4.91 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29395, 29136, 28535, 29388, 28484, 29160])).
% 4.74/4.91 tff(29397,plain,
% 4.74/4.91 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[534, 29396])).
% 4.74/4.91 tff(29398,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[22134, 338, 457, 458, 987, 651, 539])).
% 4.74/4.91 tff(29399,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29400,plain,
% 4.74/4.91 (~b(s(z), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29399, 29136, 28535, 29388, 28484])).
% 4.74/4.91 tff(29401,plain,
% 4.74/4.91 (r(s(z), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[424, 29400])).
% 4.74/4.91 tff(29402,plain,
% 4.74/4.91 (~r(s(z), s(s(z)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[13187, 29401, 29397])).
% 4.74/4.91 tff(29403,plain,
% 4.74/4.91 (~r(s(elem!1), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[28632, 178, 1740, 474, 487, 406, 486])).
% 4.74/4.91 tff(29404,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29403, 17837])).
% 4.74/4.91 tff(29405,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29406,plain,
% 4.74/4.91 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29405, 406, 28494, 474, 29397, 426, 29162])).
% 4.74/4.91 tff(29407,plain,
% 4.74/4.91 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[368, 29406, 62])).
% 4.74/4.91 tff(29408,plain,
% 4.74/4.91 (~r(s(s(z)), s(z))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[3882, 82, 29397, 406])).
% 4.74/4.91 tff(29409,plain,
% 4.74/4.91 (b(s(s(z)), s(z))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[472, 29408])).
% 4.74/4.91 tff(29410,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[28451, 338, 475, 651, 474, 540, 600])).
% 4.74/4.91 tff(29411,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29412,plain,
% 4.74/4.91 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29411, 29409, 29388, 474, 29160])).
% 4.74/4.91 tff(29413,plain,
% 4.74/4.91 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[598, 29412, 61])).
% 4.74/4.91 tff(29414,plain,
% 4.74/4.91 (~r(s(s(z)), s(s(elem!1)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[18566, 82, 29413, 29407])).
% 4.74/4.91 tff(29415,plain,
% 4.74/4.91 (~r(s(s(z)), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29071, 29397, 426])).
% 4.74/4.91 tff(29416,plain,
% 4.74/4.91 (b(s(s(z)), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[956, 29415])).
% 4.74/4.91 tff(29417,plain,
% 4.74/4.91 (~r(s(s(elem!1)), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[14044, 29407, 28482])).
% 4.74/4.91 tff(29418,plain,
% 4.74/4.91 (b(s(s(elem!1)), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[800, 29417])).
% 4.74/4.91 tff(29419,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29420,plain,
% 4.74/4.91 (((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29421,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1))))))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29420])).
% 4.74/4.91 tff(29422,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1)))))),
% 4.74/4.91 inference(transitivity,[status(thm)],[29421, 29419])).
% 4.74/4.91 tff(29423,plain,
% 4.74/4.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.74/4.91 inference(quant_inst,[status(thm)],[])).
% 4.74/4.91 tff(29424,plain,
% 4.74/4.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(elem!1))))),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29423, 29422])).
% 4.74/4.91 tff(29425,plain,
% 4.74/4.91 (~b(s(s(z)), s(s(elem!1)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29424, 338, 29418, 29416, 29388, 474, 29160])).
% 4.74/4.91 tff(29426,plain,
% 4.74/4.91 ((s(s(z)) = s(s(elem!1))) | r(s(s(z)), s(s(elem!1)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[11262, 21, 29425])).
% 4.74/4.91 tff(29427,plain,
% 4.74/4.91 (s(s(z)) = s(s(elem!1))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29426, 29414])).
% 4.74/4.91 tff(29428,plain,
% 4.74/4.91 (b(s(z), s(s(z))) <=> b(s(z), s(s(elem!1)))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29427])).
% 4.74/4.91 tff(29429,plain,
% 4.74/4.91 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(z)))),
% 4.74/4.91 inference(symmetry,[status(thm)],[29428])).
% 4.74/4.91 tff(29430,plain,
% 4.74/4.91 ((~b(s(z), s(s(elem!1)))) <=> (~b(s(z), s(s(z))))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29429])).
% 4.74/4.91 tff(29431,plain,
% 4.74/4.91 (~b(s(s(s(s(z)))), s(z))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[5782, 29388, 28535, 29136, 28484])).
% 4.74/4.91 tff(29432,plain,
% 4.74/4.91 (r(s(s(s(s(z)))), s(z))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[119, 29431])).
% 4.74/4.91 tff(29433,plain,
% 4.74/4.91 (~r(s(s(elem!1)), s(z))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[2354, 29407, 29432])).
% 4.74/4.91 tff(29434,plain,
% 4.74/4.91 (b(s(s(elem!1)), s(z))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[784, 29433])).
% 4.74/4.91 tff(29435,plain,
% 4.74/4.91 (~b(s(z), s(s(elem!1)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[6963, 29434, 28494, 29162, 29418])).
% 4.74/4.91 tff(29436,plain,
% 4.74/4.91 (~b(s(z), s(s(z)))),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29435, 29430])).
% 4.74/4.91 tff(29437,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[474, 29436])).
% 4.74/4.91 tff(29438,plain,((~r(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29439,plain,
% 4.74/4.91 (~b(s(z), s(s(z)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29438, 29401, 62, 426])).
% 4.74/4.91 tff(29440,plain,
% 4.74/4.91 ($false),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[455, 29439, 29402])).
% 4.74/4.91 tff(29441,plain,((~r(s(s(s(z))), z)) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.91 tff(29442,plain,
% 4.74/4.91 (~r(s(s(s(z))), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29441, 62])).
% 4.74/4.91 tff(29443,plain,
% 4.74/4.91 (b(s(s(s(z))), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[135, 29442])).
% 4.74/4.91 tff(29444,plain,
% 4.74/4.91 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[5636, 69, 28482, 29443])).
% 4.74/4.91 tff(29445,plain,
% 4.74/4.91 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1011, 29444])).
% 4.74/4.91 tff(29446,plain,
% 4.74/4.91 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[5636, 71, 28482, 29443])).
% 4.74/4.91 tff(29447,plain,
% 4.74/4.91 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[1011, 29446])).
% 4.74/4.91 tff(29448,plain,
% 4.74/4.91 (~r(s(s(z)), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[3898, 71, 28482])).
% 4.74/4.91 tff(29449,plain,
% 4.74/4.91 (b(s(s(z)), z)),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[956, 29448])).
% 4.74/4.91 tff(29450,plain,
% 4.74/4.91 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[2977, 405, 28482])).
% 4.74/4.91 tff(29451,plain,
% 4.74/4.91 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[106, 29450])).
% 4.74/4.91 tff(29452,plain,
% 4.74/4.91 (~r(z, s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[28835, 29451, 28482, 1731])).
% 4.74/4.91 tff(29453,plain,
% 4.74/4.91 (b(z, s(s(s(z))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[149, 29452])).
% 4.74/4.91 tff(29454,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29455,plain,
% 4.74/4.91 (((~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29456,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29455])).
% 4.74/4.91 tff(29457,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.91 inference(transitivity,[status(thm)],[29456, 29454])).
% 4.74/4.91 tff(29458,plain,
% 4.74/4.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.91 inference(quant_inst,[status(thm)],[])).
% 4.74/4.91 tff(29459,plain,
% 4.74/4.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.74/4.91 inference(modus_ponens,[status(thm)],[29458, 29457])).
% 4.74/4.91 tff(29460,plain,
% 4.74/4.91 ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z))))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29459, 338, 1741, 3348, 2431, 987])).
% 4.74/4.91 tff(29461,plain,
% 4.74/4.91 (~b(z, s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[29460, 21128])).
% 4.74/4.91 tff(29462,plain,
% 4.74/4.91 (r(z, s(s(s(s(z)))))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[391, 29461])).
% 4.74/4.91 tff(29463,plain,
% 4.74/4.91 (~r(z, s(s(z)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[22491, 29462, 71])).
% 4.74/4.91 tff(29464,plain,
% 4.74/4.91 (b(z, s(s(z)))),
% 4.74/4.91 inference(unit_resolution,[status(thm)],[563, 29463])).
% 4.74/4.91 tff(29465,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29466,plain,
% 4.74/4.91 (((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.74/4.91 inference(rewrite,[status(thm)],[])).
% 4.74/4.91 tff(29467,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z))))))),
% 4.74/4.91 inference(monotonicity,[status(thm)],[29466])).
% 4.74/4.91 tff(29468,plain,
% 4.74/4.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.74/4.92 inference(transitivity,[status(thm)],[29467, 29465])).
% 4.74/4.92 tff(29469,plain,
% 4.74/4.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.74/4.92 inference(quant_inst,[status(thm)],[])).
% 4.74/4.92 tff(29470,plain,
% 4.74/4.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z))))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 4.74/4.92 tff(29471,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29470, 338, 29464, 1741, 3348, 2431, 21128])).
% 4.74/4.92 tff(29472,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29473,plain,
% 4.74/4.92 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29472, 29453, 29443, 29449, 71, 29447])).
% 4.74/4.92 tff(29474,plain,
% 4.74/4.92 (r(s(s(s(z))), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[639, 29473])).
% 4.74/4.92 tff(29475,plain,
% 4.74/4.92 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2472, 29474, 71])).
% 4.74/4.92 tff(29476,plain,
% 4.74/4.92 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[689, 29475])).
% 4.74/4.92 tff(29477,plain,
% 4.74/4.92 (~b(s(s(s(z))), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29146, 29476, 29447, 1731, 28482])).
% 4.74/4.92 tff(29478,plain,
% 4.74/4.92 (r(s(s(s(z))), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[437, 29477])).
% 4.74/4.92 tff(29479,plain,
% 4.74/4.92 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[14739, 1731, 28482])).
% 4.74/4.92 tff(29480,plain,
% 4.74/4.92 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[119, 29479])).
% 4.74/4.92 tff(29481,plain,
% 4.74/4.92 (~r(s(z), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[28755, 29478, 29474])).
% 4.74/4.92 tff(29482,plain,
% 4.74/4.92 (b(s(z), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[455, 29481])).
% 4.74/4.92 tff(29483,plain,
% 4.74/4.92 (~b(s(z), s(s(s(z))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[26532, 29476, 29447, 29480, 29451])).
% 4.74/4.92 tff(29484,plain,
% 4.74/4.92 (r(s(z), s(s(s(z))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[424, 29483])).
% 4.74/4.92 tff(29485,plain,
% 4.74/4.92 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3914, 29453, 28482, 29443, 71])).
% 4.74/4.92 tff(29486,plain,
% 4.74/4.92 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[534, 29485])).
% 4.74/4.92 tff(29487,plain,
% 4.74/4.92 (~r(s(s(z)), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3882, 82, 29486, 29484])).
% 4.74/4.92 tff(29488,plain,
% 4.74/4.92 (b(s(s(z)), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[472, 29487])).
% 4.74/4.92 tff(29489,plain,
% 4.74/4.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.92 inference(rewrite,[status(thm)],[])).
% 4.74/4.92 tff(29490,plain,
% 4.74/4.92 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.92 inference(rewrite,[status(thm)],[])).
% 4.74/4.92 tff(29491,plain,
% 4.74/4.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29490])).
% 4.74/4.92 tff(29492,plain,
% 4.74/4.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.92 inference(transitivity,[status(thm)],[29491, 29489])).
% 4.74/4.92 tff(29493,plain,
% 4.74/4.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.92 inference(quant_inst,[status(thm)],[])).
% 4.74/4.92 tff(29494,plain,
% 4.74/4.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29493, 29492])).
% 4.74/4.92 tff(29495,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29494, 338, 475, 651, 474, 2911, 600])).
% 4.74/4.92 tff(29496,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29497,plain,
% 4.74/4.92 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29496, 29488, 29451, 29482, 29480])).
% 4.74/4.92 tff(29498,plain,
% 4.74/4.92 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[598, 29497, 61])).
% 4.74/4.92 tff(29499,plain,
% 4.74/4.92 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3914, 3348, 28482, 29443, 71])).
% 4.74/4.92 tff(29500,plain,
% 4.74/4.92 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[534, 29499])).
% 4.74/4.92 tff(29501,plain,
% 4.74/4.92 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29472, 3348, 29443, 29449, 71, 29447])).
% 4.74/4.92 tff(29502,plain,
% 4.74/4.92 (r(s(s(s(z))), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[639, 29501])).
% 4.74/4.92 tff(29503,plain,
% 4.74/4.92 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2472, 29502, 71])).
% 4.74/4.92 tff(29504,plain,
% 4.74/4.92 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[689, 29503])).
% 4.74/4.92 tff(29505,plain,
% 4.74/4.92 (b(z, s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[19314, 29504, 71, 29447, 3348])).
% 4.74/4.92 tff(29506,plain,
% 4.74/4.92 (~(s(s(elem!1)) = s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[10916, 9076])).
% 4.74/4.92 tff(29507,plain,
% 4.74/4.92 (b(s(s(elem!1)), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[22190, 28977, 10936])).
% 4.74/4.92 tff(29508,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[22104, 29507, 14763, 601, 22421, 2431])).
% 4.74/4.92 tff(29509,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (s(s(elem!1)) = s(s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29510,plain,
% 4.74/4.92 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29509, 29506, 29449, 29505, 575, 13914, 28482])).
% 4.74/4.92 tff(29511,plain,
% 4.74/4.92 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[368, 29510, 62])).
% 4.74/4.92 tff(29512,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29511])).
% 4.74/4.92 tff(29513,plain,
% 4.74/4.92 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[11454, 29511])).
% 4.74/4.92 tff(29514,plain,
% 4.74/4.92 (s(s(s(z))) = s(elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[4794, 29513])).
% 4.74/4.92 tff(29515,plain,
% 4.74/4.92 (~(s(s(elem!1)) = s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[5466, 29514])).
% 4.74/4.92 tff(29516,plain,
% 4.74/4.92 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1280, 29515])).
% 4.74/4.92 tff(29517,plain,
% 4.74/4.92 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29511])).
% 4.74/4.92 tff(29518,plain,
% 4.74/4.92 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.74/4.92 inference(symmetry,[status(thm)],[29517])).
% 4.74/4.92 tff(29519,plain,
% 4.74/4.92 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29511])).
% 4.74/4.92 tff(29520,plain,
% 4.74/4.92 (s(elem!1) = s(s(s(z)))),
% 4.74/4.92 inference(transitivity,[status(thm)],[182, 29519, 44])).
% 4.74/4.92 tff(29521,plain,
% 4.74/4.92 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29520])).
% 4.74/4.92 tff(29522,plain,
% 4.74/4.92 (elem!1 = s(s(z))),
% 4.74/4.92 inference(transitivity,[status(thm)],[5450, 29521, 52])).
% 4.74/4.92 tff(29523,plain,
% 4.74/4.92 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29522])).
% 4.74/4.92 tff(29524,plain,
% 4.74/4.92 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), elem!1)),
% 4.74/4.92 inference(symmetry,[status(thm)],[29523])).
% 4.74/4.92 tff(29525,plain,
% 4.74/4.92 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(elem!1)), elem!1)),
% 4.74/4.92 inference(transitivity,[status(thm)],[29524, 29518])).
% 4.74/4.92 tff(29526,plain,
% 4.74/4.92 (r(s(s(elem!1)), elem!1)),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[71, 29525])).
% 4.74/4.92 tff(29527,plain,
% 4.74/4.92 (~b(z, s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[18489, 29511, 386])).
% 4.74/4.92 tff(29528,plain,
% 4.74/4.92 (r(z, s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[161, 29527])).
% 4.74/4.92 tff(29529,plain,
% 4.74/4.92 (s(elem!1) = s(s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3985, 29514])).
% 4.74/4.92 tff(29530,plain,
% 4.74/4.92 (~(s(s(s(elem!1))) = elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3655, 29529])).
% 4.74/4.92 tff(29531,plain,
% 4.74/4.92 (~(elem!1 = s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1924, 29530])).
% 4.74/4.92 tff(29532,plain,
% 4.74/4.92 (r(s(elem!1), elem!1) <=> r(s(s(s(z))), elem!1)),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29520])).
% 4.74/4.92 tff(29533,plain,
% 4.74/4.92 (r(s(s(s(z))), elem!1) <=> r(s(elem!1), elem!1)),
% 4.74/4.92 inference(symmetry,[status(thm)],[29532])).
% 4.74/4.92 tff(29534,plain,
% 4.74/4.92 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.74/4.92 inference(symmetry,[status(thm)],[29521])).
% 4.74/4.92 tff(29535,plain,
% 4.74/4.92 (s(s(z)) = elem!1),
% 4.74/4.92 inference(transitivity,[status(thm)],[53, 29534, 199])).
% 4.74/4.92 tff(29536,plain,
% 4.74/4.92 (r(s(s(s(z))), s(s(z))) <=> r(s(s(s(z))), elem!1)),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29535])).
% 4.74/4.92 tff(29537,plain,
% 4.74/4.92 (r(s(s(s(z))), s(s(z))) <=> r(s(elem!1), elem!1)),
% 4.74/4.92 inference(transitivity,[status(thm)],[29536, 29533])).
% 4.74/4.92 tff(29538,plain,
% 4.74/4.92 (r(s(elem!1), elem!1)),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29502, 29537])).
% 4.74/4.92 tff(29539,plain,
% 4.74/4.92 (r(elem!1, s(elem!1)) <=> r(elem!1, s(s(s(z))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29520])).
% 4.74/4.92 tff(29540,plain,
% 4.74/4.92 (r(elem!1, s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.74/4.92 inference(symmetry,[status(thm)],[29539])).
% 4.74/4.92 tff(29541,plain,
% 4.74/4.92 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(s(s(z))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29535])).
% 4.74/4.92 tff(29542,plain,
% 4.74/4.92 (r(s(s(z)), s(s(s(z)))) <=> r(elem!1, s(elem!1))),
% 4.74/4.92 inference(transitivity,[status(thm)],[29541, 29540])).
% 4.74/4.92 tff(29543,plain,
% 4.74/4.92 (r(elem!1, s(elem!1))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29500, 29542])).
% 4.74/4.92 tff(29544,plain,
% 4.74/4.92 (r(elem!1, s(s(elem!1))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29511])).
% 4.74/4.92 tff(29545,plain,
% 4.74/4.92 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(elem!1)))),
% 4.74/4.92 inference(symmetry,[status(thm)],[29544])).
% 4.74/4.92 tff(29546,plain,
% 4.74/4.92 (r(s(s(z)), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29535])).
% 4.74/4.92 tff(29547,plain,
% 4.74/4.92 (r(s(s(z)), s(s(s(s(z))))) <=> r(elem!1, s(s(elem!1)))),
% 4.74/4.92 inference(transitivity,[status(thm)],[29546, 29545])).
% 4.74/4.92 tff(29548,plain,
% 4.74/4.92 (r(elem!1, s(s(elem!1)))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[575, 29547])).
% 4.74/4.92 tff(29549,plain,
% 4.74/4.92 (~(elem!1 = s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3236, 29511])).
% 4.74/4.92 tff(29550,plain,
% 4.74/4.92 (~(s(s(elem!1)) = elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[196, 29549])).
% 4.74/4.92 tff(29551,plain,
% 4.74/4.92 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[209, 29550])).
% 4.74/4.92 tff(29552,plain,
% 4.74/4.92 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[10460, 29514])).
% 4.74/4.92 tff(29553,plain,
% 4.74/4.92 (b(s(s(elem!1)), s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[10701, 29511, 29447])).
% 4.74/4.92 tff(29554,plain,
% 4.74/4.92 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2028, 1950, 295])).
% 4.74/4.92 tff(29555,plain,
% 4.74/4.92 (b(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1515, 29554, 215])).
% 4.74/4.92 tff(29556,plain,
% 4.74/4.92 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[7644, 1950, 279])).
% 4.74/4.92 tff(29557,plain,
% 4.74/4.92 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2619, 29556, 8988])).
% 4.74/4.92 tff(29558,plain,
% 4.74/4.92 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[4436, 1950, 279])).
% 4.74/4.92 tff(29559,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1292, 29558, 1327])).
% 4.74/4.92 tff(29560,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1971, 1967, 222])).
% 4.74/4.92 tff(29561,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[7170, 29560, 29559, 316, 29557, 29555])).
% 4.74/4.92 tff(29562,plain,((~r(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (s(s(s(elem!1))) = s(elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (s(s(s(elem!1))) = s(s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29563,plain,
% 4.74/4.92 (~r(elem!1, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29562, 29553, 29552, 29551, 29516, 29548, 29543, 29538])).
% 4.74/4.92 tff(29564,plain,
% 4.74/4.92 (b(elem!1, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1946, 29563, 29531])).
% 4.74/4.92 tff(29565,plain,
% 4.74/4.92 (~(s(z) = elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[10349, 29504, 62])).
% 4.74/4.92 tff(29566,plain,
% 4.74/4.92 (~(elem!1 = s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[696, 29565])).
% 4.74/4.92 tff(29567,plain,
% 4.74/4.92 (~r(z, elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[857, 29528, 405, 29566, 719, 29549])).
% 4.74/4.92 tff(29568,plain,
% 4.74/4.92 (b(z, elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[353, 29567, 4711])).
% 4.74/4.92 tff(29569,plain,
% 4.74/4.92 (b(elem!1, z) <=> b(s(s(z)), z)),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29522])).
% 4.74/4.92 tff(29570,plain,
% 4.74/4.92 (b(s(s(z)), z) <=> b(elem!1, z)),
% 4.74/4.92 inference(symmetry,[status(thm)],[29569])).
% 4.74/4.92 tff(29571,plain,
% 4.74/4.92 (b(elem!1, z)),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29449, 29570])).
% 4.74/4.92 tff(29572,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[16284, 1374, 17893, 1131, 1021, 1929])).
% 4.74/4.92 tff(29573,plain,((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (s(s(s(elem!1))) = elem!1) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29574,plain,
% 4.74/4.92 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29573, 29571, 29568, 29564, 29530, 29528, 29526])).
% 4.74/4.92 tff(29575,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1292, 29574, 29516])).
% 4.74/4.92 tff(29576,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29575, 29512])).
% 4.74/4.92 tff(29577,plain,
% 4.74/4.92 (r(s(s(s(s(z)))), elem!1)),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[71, 29524])).
% 4.74/4.92 tff(29578,plain,
% 4.74/4.92 ((s(s(s(elem!1))) = s(s(elem!1))) <=> (s(s(s(elem!1))) = s(s(s(s(z)))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29511])).
% 4.74/4.92 tff(29579,plain,
% 4.74/4.92 ((s(s(s(elem!1))) = s(s(elem!1))) <=> (s(s(s(s(z)))) = s(s(s(elem!1))))),
% 4.74/4.92 inference(transitivity,[status(thm)],[29578, 3719])).
% 4.74/4.92 tff(29580,plain,
% 4.74/4.92 ((~(s(s(s(elem!1))) = s(s(elem!1)))) <=> (~(s(s(s(s(z)))) = s(s(s(elem!1)))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29579])).
% 4.74/4.92 tff(29581,plain,
% 4.74/4.92 (~(s(s(s(s(z)))) = s(s(s(elem!1))))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29516, 29580])).
% 4.74/4.92 tff(29582,plain,
% 4.74/4.92 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2611, 29516])).
% 4.74/4.92 tff(29583,plain,
% 4.74/4.92 (r(s(s(elem!1)), z) <=> r(s(s(s(s(z)))), z)),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29511])).
% 4.74/4.92 tff(29584,plain,
% 4.74/4.92 (r(s(s(s(s(z)))), z) <=> r(s(s(elem!1)), z)),
% 4.74/4.92 inference(symmetry,[status(thm)],[29583])).
% 4.74/4.92 tff(29585,plain,
% 4.74/4.92 (r(s(s(elem!1)), z)),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[28482, 29584])).
% 4.74/4.92 tff(29586,plain,
% 4.74/4.92 (~(s(elem!1) = elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[293, 29550])).
% 4.74/4.92 tff(29587,plain,
% 4.74/4.92 (b(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1515, 1511, 215])).
% 4.74/4.92 tff(29588,plain,
% 4.74/4.92 (~b(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[7170, 29587, 6387, 6386, 316])).
% 4.74/4.92 tff(29589,plain,
% 4.74/4.92 (r(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1971, 29588, 1962])).
% 4.74/4.92 tff(29590,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[9110, 82, 29589, 295, 1269])).
% 4.74/4.92 tff(29591,plain,((~r(s(elem!1), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29592,plain,
% 4.74/4.92 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29591, 1269, 295, 316, 6387, 215])).
% 4.74/4.92 tff(29593,plain,
% 4.74/4.92 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2619, 29592, 2614])).
% 4.74/4.92 tff(29594,plain,
% 4.74/4.92 (~r(z, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[7217, 29593, 787])).
% 4.74/4.92 tff(29595,plain,
% 4.74/4.92 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[13227, 1269, 1147])).
% 4.74/4.92 tff(29596,plain,
% 4.74/4.92 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3768, 29595, 1410])).
% 4.74/4.92 tff(29597,plain,
% 4.74/4.92 (~r(s(s(s(elem!1))), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3801, 29596, 427, 987, 4658, 3770])).
% 4.74/4.92 tff(29598,plain,
% 4.74/4.92 (~(elem!1 = s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[11645, 1269, 1851])).
% 4.74/4.92 tff(29599,plain,
% 4.74/4.92 (~(s(z) = elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[752, 29598])).
% 4.74/4.92 tff(29600,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1990, 1851])).
% 4.74/4.92 tff(29601,plain,
% 4.74/4.92 (~b(s(z), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[7103, 7467, 1021, 1131, 12197])).
% 4.74/4.92 tff(29602,plain,
% 4.74/4.92 (r(s(z), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[701, 29601, 691])).
% 4.74/4.92 tff(29603,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[8739, 82, 279, 29602, 721])).
% 4.74/4.92 tff(29604,plain,((~r(s(z), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (s(z) = elem!1) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29605,plain,
% 4.74/4.92 (~r(s(z), s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29604, 29599, 279, 1021, 1131, 165])).
% 4.74/4.92 tff(29606,plain,
% 4.74/4.92 (b(s(z), s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[743, 29605])).
% 4.74/4.92 tff(29607,plain,
% 4.74/4.92 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1408, 1269, 279])).
% 4.74/4.92 tff(29608,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1292, 29607, 10549])).
% 4.74/4.92 tff(29609,plain,
% 4.74/4.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.74/4.92 inference(rewrite,[status(thm)],[])).
% 4.74/4.92 tff(29610,plain,
% 4.74/4.92 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.74/4.92 inference(rewrite,[status(thm)],[])).
% 4.74/4.92 tff(29611,plain,
% 4.74/4.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29610])).
% 4.74/4.92 tff(29612,plain,
% 4.74/4.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 4.74/4.92 inference(transitivity,[status(thm)],[29611, 29609])).
% 4.74/4.92 tff(29613,plain,
% 4.74/4.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)))),
% 4.74/4.92 inference(quant_inst,[status(thm)],[])).
% 4.74/4.92 tff(29614,plain,
% 4.74/4.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29613, 29612])).
% 4.74/4.92 tff(29615,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29614, 338, 1131, 1595, 1929, 6387, 747, 5431])).
% 4.74/4.92 tff(29616,plain,((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29617,plain,
% 4.74/4.92 (~b(elem!1, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29616, 29608, 1595, 1131, 29606, 29600])).
% 4.74/4.92 tff(29618,plain,
% 4.74/4.92 (r(elem!1, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1946, 29617, 1939])).
% 4.74/4.92 tff(29619,plain,
% 4.74/4.92 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[7644, 29618, 279])).
% 4.74/4.92 tff(29620,plain,
% 4.74/4.92 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2619, 29619, 10550])).
% 4.74/4.92 tff(29621,plain,
% 4.74/4.92 (~b(s(z), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[7259, 29608, 29620, 29606, 29600])).
% 4.74/4.92 tff(29622,plain,
% 4.74/4.92 (r(s(z), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1870, 29621])).
% 4.74/4.92 tff(29623,plain,
% 4.74/4.92 (~r(s(z), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1862, 29622, 1269])).
% 4.74/4.92 tff(29624,plain,
% 4.74/4.92 (~r(s(s(elem!1)), s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[23402, 29620, 165, 279, 215, 1131, 306, 1021, 29618])).
% 4.74/4.92 tff(29625,plain,
% 4.74/4.92 (b(s(s(elem!1)), s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[277, 29624, 7154])).
% 4.74/4.92 tff(29626,plain,
% 4.74/4.92 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[16388, 29625, 29608, 29620, 29606, 29600])).
% 4.74/4.92 tff(29627,plain,
% 4.74/4.92 (r(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1515, 29626, 215])).
% 4.74/4.92 tff(29628,plain,
% 4.74/4.92 (~r(elem!1, s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[7079, 29625, 29618, 29620, 215, 29608])).
% 4.74/4.92 tff(29629,plain,
% 4.74/4.92 (b(elem!1, s(elem!1))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[252, 29628, 7156])).
% 4.74/4.92 tff(29630,plain,
% 4.74/4.92 (~r(s(elem!1), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2028, 29627, 29618])).
% 4.74/4.92 tff(29631,plain,
% 4.74/4.92 (b(s(elem!1), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[312, 29630, 306])).
% 4.74/4.92 tff(29632,plain,
% 4.74/4.92 (~b(s(z), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[13893, 29622, 29618, 29631, 29598, 29629, 1917, 29627])).
% 4.74/4.92 tff(29633,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[701, 29632, 29623, 29599])).
% 4.74/4.92 tff(29634,plain,((~r(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(z)) | (s(elem!1) = elem!1) | (s(elem!1) = s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (elem!1 = s(s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | r(s(s(s(elem!1))), s(z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29635,plain,
% 4.74/4.92 (~b(z, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29634, 29597, 1021, 306, 215, 165, 279, 1131, 1939, 1917, 1269])).
% 4.74/4.92 tff(29636,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1373, 29635, 29594])).
% 4.74/4.92 tff(29637,plain,((~r(s(s(s(elem!1))), elem!1)) | (~b(z, elem!1)) | (s(elem!1) = elem!1) | (s(elem!1) = s(s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (elem!1 = s(s(s(elem!1)))) | (s(elem!1) = s(z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (s(s(s(s(z)))) = s(s(s(elem!1)))) | (~r(s(elem!1), elem!1)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29638,plain,
% 4.74/4.92 (~r(s(s(s(elem!1))), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29637, 29568, 29586, 29551, 29528, 29548, 29571, 29531, 9076, 29585, 427, 29447, 29576, 29582, 29581, 29538, 29553, 29575, 29577])).
% 4.74/4.92 tff(29639,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2162, 29638, 29530])).
% 4.74/4.92 tff(29640,plain,
% 4.74/4.92 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29522])).
% 4.74/4.92 tff(29641,plain,
% 4.74/4.92 (b(s(z), s(s(z))) <=> b(s(z), elem!1)),
% 4.74/4.92 inference(symmetry,[status(thm)],[29640])).
% 4.74/4.92 tff(29642,plain,
% 4.74/4.92 (~r(s(z), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[28755, 427, 29502])).
% 4.74/4.92 tff(29643,plain,
% 4.74/4.92 (b(s(z), s(s(z)))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[455, 29642])).
% 4.74/4.92 tff(29644,plain,
% 4.74/4.92 (b(s(z), elem!1)),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29643, 29641])).
% 4.74/4.92 tff(29645,plain,
% 4.74/4.92 (r(s(z), elem!1) <=> r(s(z), s(s(z)))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29522])).
% 4.74/4.92 tff(29646,plain,
% 4.74/4.92 (r(s(z), s(s(z))) <=> r(s(z), elem!1)),
% 4.74/4.92 inference(symmetry,[status(thm)],[29645])).
% 4.74/4.92 tff(29647,plain,
% 4.74/4.92 ((~r(s(z), s(s(z)))) <=> (~r(s(z), elem!1))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29646])).
% 4.74/4.92 tff(29648,plain,
% 4.74/4.92 (~r(s(z), elem!1)),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29642, 29647])).
% 4.74/4.92 tff(29649,plain,
% 4.74/4.92 (~r(s(s(s(elem!1))), z)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[11137, 1854, 405])).
% 4.74/4.92 tff(29650,plain,
% 4.74/4.92 (b(s(s(s(elem!1))), z)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1387, 29649])).
% 4.74/4.92 tff(29651,plain,
% 4.74/4.92 (~r(z, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[5440, 1854, 405])).
% 4.74/4.92 tff(29652,plain,
% 4.74/4.92 (b(z, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1373, 29651])).
% 4.74/4.92 tff(29653,plain,
% 4.74/4.92 (~b(s(s(s(elem!1))), elem!1)),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3027, 29652, 1131, 1021, 29650])).
% 4.74/4.92 tff(29654,plain,
% 4.74/4.92 (s(s(s(elem!1))) = elem!1),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[2162, 29653, 2582])).
% 4.74/4.92 tff(29655,plain,
% 4.74/4.92 (r(s(z), s(s(s(elem!1)))) <=> r(s(z), elem!1)),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29654])).
% 4.74/4.92 tff(29656,plain,
% 4.74/4.92 (r(s(z), elem!1) <=> r(s(z), s(s(s(elem!1))))),
% 4.74/4.92 inference(symmetry,[status(thm)],[29655])).
% 4.74/4.92 tff(29657,plain,
% 4.74/4.92 ((~r(s(z), elem!1)) <=> (~r(s(z), s(s(s(elem!1)))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29656])).
% 4.74/4.92 tff(29658,plain,
% 4.74/4.92 (~r(s(z), s(s(s(elem!1))))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[176, 29657])).
% 4.74/4.92 tff(29659,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1854, 29658])).
% 4.74/4.92 tff(29660,plain,((~r(s(z), s(s(s(elem!1))))) | r(s(z), elem!1) | r(s(s(s(elem!1))), elem!1) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29661,plain,
% 4.74/4.92 (~r(s(z), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29660, 29638, 405, 29648, 29571, 29568])).
% 4.74/4.92 tff(29662,plain,
% 4.74/4.92 (b(s(z), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1870, 29661])).
% 4.74/4.92 tff(29663,plain,
% 4.74/4.92 (~b(s(s(s(elem!1))), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[17059, 29662, 29644, 29564, 29639])).
% 4.74/4.92 tff(29664,plain,
% 4.74/4.92 (r(s(s(s(elem!1))), s(z))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1990, 29663])).
% 4.74/4.92 tff(29665,plain,
% 4.74/4.92 (~b(z, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[16320, 29638, 29568, 29549, 29530, 29571, 29553, 29585, 29528, 29575])).
% 4.74/4.92 tff(29666,plain,
% 4.74/4.92 (r(z, s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[1373, 29665])).
% 4.74/4.92 tff(29667,plain,
% 4.74/4.92 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[24107, 29666, 29443, 3348, 29447])).
% 4.74/4.92 tff(29668,plain,
% 4.74/4.92 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3768, 29667, 29581])).
% 4.74/4.92 tff(29669,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[3801, 29668, 29664, 427, 29447, 14875, 29576])).
% 4.74/4.92 tff(29670,plain,((elem!1 = z) | (~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | b(z, s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29671,plain,
% 4.74/4.92 (elem!1 = z),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[29670, 386, 3348, 405, 71, 575, 427, 62])).
% 4.74/4.92 tff(29672,plain,
% 4.74/4.92 (z = elem!1),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[716, 29671])).
% 4.74/4.92 tff(29673,plain,
% 4.74/4.92 (s(elem!1) = s(z)),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29671])).
% 4.74/4.92 tff(29674,plain,
% 4.74/4.92 (s(s(elem!1)) = s(s(z))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29673])).
% 4.74/4.92 tff(29675,plain,
% 4.74/4.92 (b(z, s(s(elem!1))) <=> b(z, s(s(z)))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29674])).
% 4.74/4.92 tff(29676,plain,
% 4.74/4.92 (b(z, s(s(z))) <=> b(z, s(s(elem!1)))),
% 4.74/4.92 inference(symmetry,[status(thm)],[29675])).
% 4.74/4.92 tff(29677,plain,
% 4.74/4.92 (b(z, s(s(elem!1)))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29505, 29676])).
% 4.74/4.92 tff(29678,plain,
% 4.74/4.92 (b(s(s(elem!1)), z) <=> b(s(s(z)), z)),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29674])).
% 4.74/4.92 tff(29679,plain,
% 4.74/4.92 (b(s(s(z)), z) <=> b(s(s(elem!1)), z)),
% 4.74/4.92 inference(symmetry,[status(thm)],[29678])).
% 4.74/4.92 tff(29680,plain,
% 4.74/4.92 (b(s(s(elem!1)), z)),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29449, 29679])).
% 4.74/4.92 tff(29681,plain,
% 4.74/4.92 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(z)))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[2996])).
% 4.74/4.92 tff(29682,plain,
% 4.74/4.92 (b(s(s(s(z))), s(s(z))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.92 inference(symmetry,[status(thm)],[9249])).
% 4.74/4.92 tff(29683,plain,
% 4.74/4.92 ((~b(s(s(s(z))), s(s(z)))) <=> (~b(s(s(s(elem!1))), s(s(elem!1))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29682])).
% 4.74/4.92 tff(29684,plain,
% 4.74/4.92 ((~b(s(s(s(z))), s(s(elem!1)))) <=> (~b(s(s(s(z))), s(s(z))))),
% 4.74/4.92 inference(monotonicity,[status(thm)],[29681])).
% 4.74/4.92 tff(29685,plain,
% 4.74/4.92 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[3468, 29684])).
% 4.74/4.92 tff(29686,plain,
% 4.74/4.92 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.92 inference(modus_ponens,[status(thm)],[29685, 29683])).
% 4.74/4.92 tff(29687,plain,
% 4.74/4.92 ($false),
% 4.74/4.92 inference(unit_resolution,[status(thm)],[6387, 29686])).
% 4.74/4.92 tff(29688,plain,((~(elem!1 = z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(s(s(z))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.92 tff(29689,plain,
% 4.74/4.92 (b(s(s(s(z))), s(s(elem!1)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29688, 712, 6387])).
% 4.74/4.93 tff(29690,plain,
% 4.74/4.93 (b(s(s(s(z))), s(s(z)))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29689, 29681])).
% 4.74/4.93 tff(29691,plain,
% 4.74/4.93 (b(s(s(elem!1)), z) <=> b(s(s(z)), z)),
% 4.74/4.93 inference(monotonicity,[status(thm)],[2996])).
% 4.74/4.93 tff(29692,plain,
% 4.74/4.93 (b(s(s(z)), z)),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[878, 29691])).
% 4.74/4.93 tff(29693,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29470, 338, 9198, 1741, 3348, 29692, 29690])).
% 4.74/4.93 tff(29694,plain,((~(elem!1 = z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29695,plain,
% 4.74/4.93 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29694, 4476, 1741, 878, 8722, 3348])).
% 4.74/4.93 tff(29696,plain,
% 4.74/4.93 (b(z, s(s(s(elem!1))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[25711, 4476, 3348])).
% 4.74/4.93 tff(29697,plain,
% 4.74/4.93 (~(s(s(s(elem!1))) = elem!1)),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[2149, 29696, 7546])).
% 4.74/4.93 tff(29698,plain,
% 4.74/4.93 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[1287, 29697])).
% 4.74/4.93 tff(29699,plain,
% 4.74/4.93 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[1292, 29698, 29695])).
% 4.74/4.93 tff(29700,plain,
% 4.74/4.93 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[1336, 29697])).
% 4.74/4.93 tff(29701,plain,
% 4.74/4.93 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[5699, 29700])).
% 4.74/4.93 tff(29702,plain,
% 4.74/4.93 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[539, 4463])).
% 4.74/4.93 tff(29703,plain,
% 4.74/4.93 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29702, 4462])).
% 4.74/4.93 tff(29704,plain,
% 4.74/4.93 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[987, 2828])).
% 4.74/4.93 tff(29705,plain,
% 4.74/4.93 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29704, 2827])).
% 4.74/4.93 tff(29706,plain,
% 4.74/4.93 (r(s(s(s(s(elem!1)))), elem!1)),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[7372, 703, 1122])).
% 4.74/4.93 tff(29707,plain,
% 4.74/4.93 (b(s(s(s(z))), elem!1)),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[1741, 23127])).
% 4.74/4.93 tff(29708,plain,
% 4.74/4.93 (b(s(s(s(elem!1))), elem!1)),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29707, 2812])).
% 4.74/4.93 tff(29709,plain,
% 4.74/4.93 (b(elem!1, s(s(s(elem!1))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29696, 22893])).
% 4.74/4.93 tff(29710,plain,
% 4.74/4.93 (r(elem!1, s(s(s(s(z)))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[371, 7342])).
% 4.74/4.93 tff(29711,plain,
% 4.74/4.93 (r(elem!1, s(s(s(s(elem!1)))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29710, 7341])).
% 4.74/4.93 tff(29712,assumption,(r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))), introduced(assumption)).
% 4.74/4.93 tff(29713,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29714,plain,
% 4.74/4.93 (((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29715,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))))),
% 4.74/4.93 inference(monotonicity,[status(thm)],[29714])).
% 4.74/4.93 tff(29716,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(transitivity,[status(thm)],[29715, 29713])).
% 4.74/4.93 tff(29717,plain,
% 4.74/4.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.74/4.93 inference(quant_inst,[status(thm)],[])).
% 4.74/4.93 tff(29718,plain,
% 4.74/4.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29717, 29716])).
% 4.74/4.93 tff(29719,plain,
% 4.74/4.93 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29718, 82, 2284, 29712])).
% 4.74/4.93 tff(29720,plain,
% 4.74/4.93 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[6151, 29719, 6170])).
% 4.74/4.93 tff(29721,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29722,plain,
% 4.74/4.93 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1))))))))) <=> ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29723,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))))),
% 4.74/4.93 inference(monotonicity,[status(thm)],[29722])).
% 4.74/4.93 tff(29724,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(transitivity,[status(thm)],[29723, 29721])).
% 4.74/4.93 tff(29725,plain,
% 4.74/4.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.93 inference(quant_inst,[status(thm)],[])).
% 4.74/4.93 tff(29726,plain,
% 4.74/4.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29725, 29724])).
% 4.74/4.93 tff(29727,plain,
% 4.74/4.93 (~r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29726, 82, 2284, 29712])).
% 4.74/4.93 tff(29728,plain,
% 4.74/4.93 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[6185, 29727, 6171])).
% 4.74/4.93 tff(29729,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[6196, 29728, 29720, 1929, 2636, 6138])).
% 4.74/4.93 tff(29730,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~r(elem!1, s(s(s(s(elem!1))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29731,plain,
% 4.74/4.93 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29730, 6138, 2636, 1929, 6171, 6170, 2284])).
% 4.74/4.93 tff(29732,plain,
% 4.74/4.93 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[17585, 29731, 17775])).
% 4.74/4.93 tff(29733,plain,
% 4.74/4.93 (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[8165, 338, 2208, 7528, 6138, 29732])).
% 4.74/4.93 tff(29734,plain,
% 4.74/4.93 (r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[17628, 29733, 25744])).
% 4.74/4.93 tff(29735,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[13343, 82, 5281, 6095, 17631])).
% 4.74/4.93 tff(29736,plain,((~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29737,plain,
% 4.74/4.93 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29736, 29734, 5281])).
% 4.74/4.93 tff(29738,plain,
% 4.74/4.93 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[6151, 29737, 6170])).
% 4.74/4.93 tff(29739,plain,
% 4.74/4.93 (~b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[6196, 29738, 1929, 2636, 6138])).
% 4.74/4.93 tff(29740,plain,
% 4.74/4.93 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[6185, 29739, 6171])).
% 4.74/4.93 tff(29741,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29742,plain,
% 4.74/4.93 (((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(elem!1))))))) <=> ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29743,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))))),
% 4.74/4.93 inference(monotonicity,[status(thm)],[29742])).
% 4.74/4.93 tff(29744,plain,
% 4.74/4.93 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.93 inference(transitivity,[status(thm)],[29743, 29741])).
% 4.74/4.93 tff(29745,plain,
% 4.74/4.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 4.74/4.93 inference(quant_inst,[status(thm)],[])).
% 4.74/4.93 tff(29746,plain,
% 4.74/4.93 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29745, 29744])).
% 4.74/4.93 tff(29747,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29746, 82, 2284, 29740, 29734])).
% 4.74/4.93 tff(29748,plain,((~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1)))))) | (elem!1 = s(s(s(s(s(s(elem!1))))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~r(s(s(s(s(elem!1)))), elem!1)) | (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29749,plain,
% 4.74/4.93 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29748, 29711, 6168, 29709, 29708, 5930, 29706, 17565, 29705, 29703, 17581])).
% 4.74/4.93 tff(29750,plain,
% 4.74/4.93 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[17558, 29749, 29701])).
% 4.74/4.93 tff(29751,plain,
% 4.74/4.93 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[25965, 29750, 29699])).
% 4.74/4.93 tff(29752,plain,
% 4.74/4.93 (b(s(elem!1), s(s(elem!1)))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[474, 5788])).
% 4.74/4.93 tff(29753,plain,
% 4.74/4.93 (b(s(s(elem!1)), s(elem!1))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[24163, 4465])).
% 4.74/4.93 tff(29754,plain,
% 4.74/4.93 (r(s(elem!1), s(s(s(z))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[406, 7444])).
% 4.74/4.93 tff(29755,plain,
% 4.74/4.93 (r(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29754, 7443])).
% 4.74/4.93 tff(29756,plain,
% 4.74/4.93 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[7335, 4476, 487])).
% 4.74/4.93 tff(29757,plain,
% 4.74/4.93 (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[26019, 29750, 29756, 29755, 29753, 6044, 29752, 17526])).
% 4.74/4.93 tff(29758,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[6063, 29757, 29751, 6052])).
% 4.74/4.93 tff(29759,plain,((~(z = elem!1)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29760,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29759, 29680, 29677, 29447, 29643, 406, 13914, 29443, 29504, 29672, 3348, 29500, 28482])).
% 4.74/4.93 tff(29761,plain,(b(z, s(s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29762,plain,
% 4.74/4.93 (b(z, s(s(s(s(z)))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29761, 29484, 29453, 405, 71, 29498, 29478, 62])).
% 4.74/4.93 tff(29763,plain,
% 4.74/4.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29764,plain,
% 4.74/4.93 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29765,plain,
% 4.74/4.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.74/4.93 inference(monotonicity,[status(thm)],[29764])).
% 4.74/4.93 tff(29766,plain,
% 4.74/4.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.93 inference(transitivity,[status(thm)],[29765, 29763])).
% 4.74/4.93 tff(29767,plain,
% 4.74/4.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.93 inference(quant_inst,[status(thm)],[])).
% 4.74/4.93 tff(29768,plain,
% 4.74/4.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29767, 29766])).
% 4.74/4.93 tff(29769,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29768, 338, 29443, 29453, 29447, 29476, 29762])).
% 4.74/4.93 tff(29770,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29771,plain,
% 4.74/4.93 (~r(s(z), z)),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29770, 1731, 62, 71])).
% 4.74/4.93 tff(29772,plain,
% 4.74/4.93 (b(s(z), z)),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[26, 29771])).
% 4.74/4.93 tff(29773,plain,
% 4.74/4.93 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[5636, 71, 1122, 1741])).
% 4.74/4.93 tff(29774,plain,
% 4.74/4.93 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[1011, 29773])).
% 4.74/4.93 tff(29775,plain,
% 4.74/4.93 (~r(z, s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[28835, 21540, 1122, 1731])).
% 4.74/4.93 tff(29776,plain,
% 4.74/4.93 (b(z, s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[149, 29775])).
% 4.74/4.93 tff(29777,plain,
% 4.74/4.93 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29472, 29776, 1741, 28522, 71, 29774])).
% 4.74/4.93 tff(29778,plain,
% 4.74/4.93 (r(s(s(s(z))), s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[639, 29777])).
% 4.74/4.93 tff(29779,plain,
% 4.74/4.93 (~r(s(s(s(z))), s(z))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[28755, 29778, 70])).
% 4.74/4.93 tff(29780,plain,
% 4.74/4.93 (b(s(s(s(z))), s(z))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[437, 29779])).
% 4.74/4.93 tff(29781,plain,
% 4.74/4.93 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[3914, 29776, 1122, 1741, 71])).
% 4.74/4.93 tff(29782,plain,
% 4.74/4.93 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[534, 29781])).
% 4.74/4.93 tff(29783,plain,
% 4.74/4.93 (~r(s(z), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[13187, 29782, 70])).
% 4.74/4.93 tff(29784,plain,
% 4.74/4.93 (b(s(z), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[424, 29783])).
% 4.74/4.93 tff(29785,plain,
% 4.74/4.93 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[2472, 29778, 71])).
% 4.74/4.93 tff(29786,plain,
% 4.74/4.93 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[689, 29785])).
% 4.74/4.93 tff(29787,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[21813, 29786, 29784, 29776, 29780, 21540, 1740])).
% 4.74/4.93 tff(29788,plain,((~r(s(z), s(s(z)))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29789,plain,
% 4.74/4.93 (~r(s(z), s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29788, 29772, 71, 29443, 28482, 1731])).
% 4.74/4.93 tff(29790,plain,
% 4.74/4.93 (b(s(z), s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[455, 29789])).
% 4.74/4.93 tff(29791,plain,
% 4.74/4.93 (~r(s(z), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[16605, 164, 1731])).
% 4.74/4.93 tff(29792,plain,
% 4.74/4.93 (b(s(z), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[424, 29791])).
% 4.74/4.93 tff(29793,plain,
% 4.74/4.93 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[17975, 474, 458, 987, 2911, 457])).
% 4.74/4.93 tff(29794,plain,
% 4.74/4.93 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[534, 29793])).
% 4.74/4.93 tff(29795,plain,
% 4.74/4.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29796,plain,
% 4.74/4.93 (((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.74/4.93 inference(rewrite,[status(thm)],[])).
% 4.74/4.93 tff(29797,plain,
% 4.74/4.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 4.74/4.93 inference(monotonicity,[status(thm)],[29796])).
% 4.74/4.93 tff(29798,plain,
% 4.74/4.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.74/4.93 inference(transitivity,[status(thm)],[29797, 29795])).
% 4.74/4.93 tff(29799,plain,
% 4.74/4.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.93 inference(quant_inst,[status(thm)],[])).
% 4.74/4.93 tff(29800,plain,
% 4.74/4.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 4.74/4.93 inference(modus_ponens,[status(thm)],[29799, 29798])).
% 4.74/4.93 tff(29801,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29800, 338, 601, 1740, 458, 987, 474, 2911])).
% 4.74/4.93 tff(29802,plain,((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29803,plain,
% 4.74/4.93 (~b(z, s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29802, 474, 1740, 2911, 987, 458])).
% 4.74/4.93 tff(29804,plain,
% 4.74/4.93 (r(z, s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[563, 29803])).
% 4.74/4.93 tff(29805,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[558, 29804, 29794, 164])).
% 4.74/4.93 tff(29806,plain,((~b(s(z), s(s(z)))) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29807,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29806, 10943, 29792, 987, 2911, 1740, 474, 164])).
% 4.74/4.93 tff(29808,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.93 tff(29809,plain,
% 4.74/4.93 (~r(z, s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29808, 29480, 29447, 29772, 29790, 1731])).
% 4.74/4.93 tff(29810,plain,
% 4.74/4.93 (b(z, s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[149, 29809])).
% 4.74/4.93 tff(29811,plain,
% 4.74/4.93 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29472, 29810, 29443, 29449, 71, 29447])).
% 4.74/4.93 tff(29812,plain,
% 4.74/4.93 (r(s(s(s(z))), s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[639, 29811])).
% 4.74/4.93 tff(29813,plain,
% 4.74/4.93 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[2472, 29812, 71])).
% 4.74/4.93 tff(29814,plain,
% 4.74/4.93 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[689, 29813])).
% 4.74/4.93 tff(29815,plain,
% 4.74/4.93 (b(z, s(s(z)))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[19314, 29814, 71, 29447, 29810])).
% 4.74/4.93 tff(29816,plain,
% 4.74/4.93 (~b(s(s(z)), s(z))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[18871, 338, 29815, 29772, 29449, 29790])).
% 4.74/4.93 tff(29817,plain,
% 4.74/4.93 (r(s(s(z)), s(z))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[472, 29816])).
% 4.74/4.93 tff(29818,plain,
% 4.74/4.93 (~b(s(s(s(z))), s(z))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[29146, 29814, 29447, 1731, 28482])).
% 4.74/4.93 tff(29819,plain,
% 4.74/4.93 (r(s(s(s(z))), s(z))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[437, 29818])).
% 4.74/4.93 tff(29820,plain,
% 4.74/4.93 (~b(z, s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[3914, 476, 1122, 1741, 71])).
% 4.74/4.93 tff(29821,plain,
% 4.74/4.93 (r(z, s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[149, 29820])).
% 4.74/4.93 tff(29822,plain,
% 4.74/4.93 (~r(s(z), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[16605, 29821, 1731])).
% 4.74/4.93 tff(29823,plain,
% 4.74/4.93 (b(s(z), s(s(s(z))))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[424, 29822])).
% 4.74/4.93 tff(29824,plain,
% 4.74/4.93 (~r(s(s(s(z))), s(z))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[2890, 29821, 1731])).
% 4.74/4.93 tff(29825,plain,
% 4.74/4.93 (b(s(s(s(z))), s(z))),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[437, 29824])).
% 4.74/4.93 tff(29826,plain,
% 4.74/4.93 ($false),
% 4.74/4.93 inference(unit_resolution,[status(thm)],[17975, 29825, 29823, 29774, 28831, 476, 474])).
% 4.74/4.93 tff(29827,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29828,plain,
% 4.74/4.94 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29827, 29790, 1731, 28482, 29443, 71])).
% 4.74/4.94 tff(29829,plain,
% 4.74/4.94 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[534, 29828])).
% 4.74/4.94 tff(29830,plain,
% 4.74/4.94 ($false),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[2929, 82, 29829, 29819, 29817])).
% 4.74/4.94 tff(29831,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29832,plain,
% 4.74/4.94 (~r(z, s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29831, 69, 62])).
% 4.74/4.94 tff(29833,plain,
% 4.74/4.94 (b(z, s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[403, 29832])).
% 4.74/4.94 tff(29834,plain,
% 4.74/4.94 (~r(s(s(s(z))), s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[2472, 911, 71])).
% 4.74/4.94 tff(29835,plain,
% 4.74/4.94 (b(s(s(s(z))), s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[639, 29834])).
% 4.74/4.94 tff(29836,plain,
% 4.74/4.94 (~b(z, s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29472, 29835, 1741, 2431, 71, 987])).
% 4.74/4.94 tff(29837,plain,
% 4.74/4.94 (r(z, s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[149, 29836])).
% 4.74/4.94 tff(29838,plain,
% 4.74/4.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.94 inference(rewrite,[status(thm)],[])).
% 4.74/4.94 tff(29839,plain,
% 4.74/4.94 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z))))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.94 inference(rewrite,[status(thm)],[])).
% 4.74/4.94 tff(29840,plain,
% 4.74/4.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29839])).
% 4.74/4.94 tff(29841,plain,
% 4.74/4.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.94 inference(transitivity,[status(thm)],[29840, 29838])).
% 4.74/4.94 tff(29842,plain,
% 4.74/4.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))))),
% 4.74/4.94 inference(quant_inst,[status(thm)],[])).
% 4.74/4.94 tff(29843,plain,
% 4.74/4.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29842, 29841])).
% 4.74/4.94 tff(29844,plain,
% 4.74/4.94 ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z))))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29843, 338, 486, 1741, 2431, 2911])).
% 4.74/4.94 tff(29845,plain,
% 4.74/4.94 (~b(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29844, 29835])).
% 4.74/4.94 tff(29846,plain,
% 4.74/4.94 (r(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[391, 29845])).
% 4.74/4.94 tff(29847,plain,
% 4.74/4.94 ($false),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[919, 29846, 29837, 911])).
% 4.74/4.94 tff(29848,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29849,plain,
% 4.74/4.94 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29848, 120, 29443, 28759, 29833, 69, 29445])).
% 4.74/4.94 tff(29850,plain,
% 4.74/4.94 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[689, 29849])).
% 4.74/4.94 tff(29851,plain,
% 4.74/4.94 (~b(s(z), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[26532, 29850, 29445, 120, 107])).
% 4.74/4.94 tff(29852,plain,
% 4.74/4.94 (r(s(z), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[424, 29851])).
% 4.74/4.94 tff(29853,plain,
% 4.74/4.94 (~b(s(s(s(z))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[5782, 29850, 29445, 120, 107])).
% 4.74/4.94 tff(29854,plain,
% 4.74/4.94 (r(s(s(s(z))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[437, 29853])).
% 4.74/4.94 tff(29855,plain,
% 4.74/4.94 (~r(s(s(s(z))), s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[28755, 29854, 70])).
% 4.74/4.94 tff(29856,plain,
% 4.74/4.94 (b(s(s(s(z))), s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[639, 29855])).
% 4.74/4.94 tff(29857,plain,
% 4.74/4.94 (~b(z, s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29472, 29856, 29443, 28759, 69, 29445])).
% 4.74/4.94 tff(29858,plain,
% 4.74/4.94 (r(z, s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[149, 29857])).
% 4.74/4.94 tff(29859,plain,
% 4.74/4.94 ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z))))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29843, 338, 29833, 29443, 28759, 120])).
% 4.74/4.94 tff(29860,plain,
% 4.74/4.94 (~b(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29859, 29856])).
% 4.74/4.94 tff(29861,plain,
% 4.74/4.94 (r(s(z), z)),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29052, 29860, 63, 29445, 62, 29833, 107, 29854, 29850])).
% 4.74/4.94 tff(29862,plain,
% 4.74/4.94 ($false),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[414, 29861, 29858, 29852])).
% 4.74/4.94 tff(29863,plain,((~r(s(z), s(s(z)))) | b(s(s(s(s(z)))), s(s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29864,plain,
% 4.74/4.94 (~r(s(z), s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29863, 63, 62])).
% 4.74/4.94 tff(29865,plain,
% 4.74/4.94 (b(s(z), s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[455, 29864])).
% 4.74/4.94 tff(29866,plain,
% 4.74/4.94 (~b(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[28746, 28760, 69, 29833, 29865, 28482])).
% 4.74/4.94 tff(29867,plain,
% 4.74/4.94 (r(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[391, 29866])).
% 4.74/4.94 tff(29868,plain,
% 4.74/4.94 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[28530, 29867, 69, 28760, 28482, 29833])).
% 4.74/4.94 tff(29869,plain,
% 4.74/4.94 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[106, 29868])).
% 4.74/4.94 tff(29870,plain,
% 4.74/4.94 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[28736, 28760, 28482, 69, 29833])).
% 4.74/4.94 tff(29871,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[119, 29870])).
% 4.74/4.94 tff(29872,plain,
% 4.74/4.94 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29848, 29871, 29443, 28759, 29833, 69, 29445])).
% 4.74/4.94 tff(29873,plain,
% 4.74/4.94 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[689, 29872])).
% 4.74/4.94 tff(29874,plain,
% 4.74/4.94 (~b(s(s(s(z))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[5782, 29873, 29445, 29871, 29869])).
% 4.74/4.94 tff(29875,plain,
% 4.74/4.94 (~r(s(s(s(z))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29052, 29869, 63, 29445, 62, 29833, 2, 29866, 29873])).
% 4.74/4.94 tff(29876,plain,
% 4.74/4.94 ($false),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[437, 29875, 29874])).
% 4.74/4.94 tff(29877,plain,(r(s(z), z) | b(s(s(s(s(z)))), s(s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29878,plain,
% 4.74/4.94 (r(s(z), z)),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29877, 63, 62])).
% 4.74/4.94 tff(29879,plain,
% 4.74/4.94 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[2977, 29878, 28482])).
% 4.74/4.94 tff(29880,plain,
% 4.74/4.94 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[106, 29879])).
% 4.74/4.94 tff(29881,plain,
% 4.74/4.94 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[11562, 29878, 28482])).
% 4.74/4.94 tff(29882,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[119, 29881])).
% 4.74/4.94 tff(29883,plain,
% 4.74/4.94 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29848, 29882, 29443, 28759, 29833, 69, 29445])).
% 4.74/4.94 tff(29884,plain,
% 4.74/4.94 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[689, 29883])).
% 4.74/4.94 tff(29885,plain,
% 4.74/4.94 (~b(s(z), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[26532, 29884, 29445, 29882, 29880])).
% 4.74/4.94 tff(29886,plain,
% 4.74/4.94 (r(s(z), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[424, 29885])).
% 4.74/4.94 tff(29887,plain,
% 4.74/4.94 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[26532, 12512, 14544, 14542, 12514])).
% 4.74/4.94 tff(29888,plain,
% 4.74/4.94 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[689, 29887])).
% 4.74/4.94 tff(29889,plain,
% 4.74/4.94 (~r(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[919, 29888, 164])).
% 4.74/4.94 tff(29890,plain,
% 4.74/4.94 (b(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[391, 29889])).
% 4.74/4.94 tff(29891,plain,
% 4.74/4.94 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.94 inference(rewrite,[status(thm)],[])).
% 4.74/4.94 tff(29892,plain,
% 4.74/4.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29891])).
% 4.74/4.94 tff(29893,plain,
% 4.74/4.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.94 inference(transitivity,[status(thm)],[29892, 23684])).
% 4.74/4.94 tff(29894,plain,
% 4.74/4.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.94 inference(quant_inst,[status(thm)],[])).
% 4.74/4.94 tff(29895,plain,
% 4.74/4.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29894, 29893])).
% 4.74/4.94 tff(29896,plain,
% 4.74/4.94 ($false),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29895, 338, 486, 12512, 12514, 14542, 14544, 29890])).
% 4.74/4.94 tff(29897,plain,((~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29898,plain,
% 4.74/4.94 (~r(z, s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29897, 29878, 28482, 29833])).
% 4.74/4.94 tff(29899,plain,
% 4.74/4.94 (b(z, s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[149, 29898])).
% 4.74/4.94 tff(29900,plain,
% 4.74/4.94 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[3914, 29899, 28482, 29443, 69])).
% 4.74/4.94 tff(29901,plain,
% 4.74/4.94 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[534, 29900])).
% 4.74/4.94 tff(29902,plain,
% 4.74/4.94 (~r(s(s(z)), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[3882, 82, 29901, 29886])).
% 4.74/4.94 tff(29903,plain,
% 4.74/4.94 (b(s(s(z)), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[472, 29902])).
% 4.74/4.94 tff(29904,plain,
% 4.74/4.94 (b(z, s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[19314, 29884, 69, 29445, 29899])).
% 4.74/4.94 tff(29905,plain,
% 4.74/4.94 ($false),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[519, 338, 29833, 29904, 29903, 28759, 29865])).
% 4.74/4.94 tff(29906,plain,(b(s(s(s(s(z)))), s(s(z))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29907,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29906, 62])).
% 4.74/4.94 tff(29908,plain,
% 4.74/4.94 (~r(z, s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[1127, 28244, 28482])).
% 4.74/4.94 tff(29909,plain,
% 4.74/4.94 (b(z, s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[149, 29908])).
% 4.74/4.94 tff(29910,plain,
% 4.74/4.94 (~r(s(z), z)),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[21488, 3893, 70])).
% 4.74/4.94 tff(29911,plain,
% 4.74/4.94 (b(s(z), z)),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[26, 29910])).
% 4.74/4.94 tff(29912,plain,
% 4.74/4.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.94 inference(rewrite,[status(thm)],[])).
% 4.74/4.94 tff(29913,plain,
% 4.74/4.94 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.94 inference(rewrite,[status(thm)],[])).
% 4.74/4.94 tff(29914,plain,
% 4.74/4.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29913])).
% 4.74/4.94 tff(29915,plain,
% 4.74/4.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.94 inference(transitivity,[status(thm)],[29914, 29912])).
% 4.74/4.94 tff(29916,plain,
% 4.74/4.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.94 inference(quant_inst,[status(thm)],[])).
% 4.74/4.94 tff(29917,plain,
% 4.74/4.94 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z))))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29916, 29915])).
% 4.74/4.94 tff(29918,plain,
% 4.74/4.94 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29917, 82, 28482, 3893])).
% 4.74/4.94 tff(29919,plain,
% 4.74/4.94 (b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[598, 29918, 61])).
% 4.74/4.94 tff(29920,plain,
% 4.74/4.94 ($false),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[2524, 82, 1731, 3893, 459])).
% 4.74/4.94 tff(29921,plain,((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29922,plain,
% 4.74/4.94 (~r(s(s(z)), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29921, 1731, 3893])).
% 4.74/4.94 tff(29923,plain,
% 4.74/4.94 (b(s(s(z)), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[472, 29922])).
% 4.74/4.94 tff(29924,plain,
% 4.74/4.94 (~r(z, s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[2492, 1731, 70])).
% 4.74/4.94 tff(29925,plain,
% 4.74/4.94 (b(z, s(s(z)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[563, 29924])).
% 4.74/4.94 tff(29926,plain,
% 4.74/4.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.94 inference(rewrite,[status(thm)],[])).
% 4.74/4.94 tff(29927,plain,
% 4.74/4.94 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.94 inference(rewrite,[status(thm)],[])).
% 4.74/4.94 tff(29928,plain,
% 4.74/4.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29927])).
% 4.74/4.94 tff(29929,plain,
% 4.74/4.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.94 inference(transitivity,[status(thm)],[29928, 29926])).
% 4.74/4.94 tff(29930,plain,
% 4.74/4.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.94 inference(quant_inst,[status(thm)],[])).
% 4.74/4.94 tff(29931,plain,
% 4.74/4.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29930, 29929])).
% 4.74/4.94 tff(29932,plain,
% 4.74/4.94 (~b(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29931, 338, 29925, 29923, 29480, 29907, 29919])).
% 4.74/4.94 tff(29933,plain,
% 4.74/4.94 (r(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[391, 29932])).
% 4.74/4.94 tff(29934,plain,
% 4.74/4.94 (b(z, s(s(elem!1)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[27590, 29933, 29443, 27587, 62, 29909])).
% 4.74/4.94 tff(29935,plain,
% 4.74/4.94 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[18489, 29934, 29932])).
% 4.74/4.94 tff(29936,plain,
% 4.74/4.94 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[368, 29935, 62])).
% 4.74/4.94 tff(29937,plain,
% 4.74/4.94 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[14568, 29936, 911])).
% 4.74/4.94 tff(29938,plain,
% 4.74/4.94 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[16143, 29936, 911])).
% 4.74/4.94 tff(29939,plain,
% 4.74/4.94 (~r(s(s(elem!1)), z)),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[14044, 29936, 28482])).
% 4.74/4.94 tff(29940,plain,
% 4.74/4.94 (b(s(s(elem!1)), z)),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[800, 29939])).
% 4.74/4.94 tff(29941,plain,
% 4.74/4.94 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[22431, 29940, 29443, 29938, 29937, 29934])).
% 4.74/4.94 tff(29942,plain,
% 4.74/4.94 (s(z) = elem!1),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[1237, 29941])).
% 4.74/4.94 tff(29943,plain,
% 4.74/4.94 (s(s(z)) = s(elem!1)),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29942])).
% 4.74/4.94 tff(29944,plain,
% 4.74/4.94 (b(s(s(z)), elem!1) <=> b(s(elem!1), elem!1)),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29943])).
% 4.74/4.94 tff(29945,plain,
% 4.74/4.94 (b(s(s(z)), s(z)) <=> b(s(s(z)), elem!1)),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29942])).
% 4.74/4.94 tff(29946,plain,
% 4.74/4.94 (b(s(s(z)), elem!1)),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29923, 29945])).
% 4.74/4.94 tff(29947,plain,
% 4.74/4.94 (b(s(elem!1), elem!1)),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29946, 29944])).
% 4.74/4.94 tff(29948,plain,
% 4.74/4.94 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29943])).
% 4.74/4.94 tff(29949,plain,
% 4.74/4.94 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29948])).
% 4.74/4.94 tff(29950,plain,
% 4.74/4.94 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 4.74/4.94 inference(symmetry,[status(thm)],[29949])).
% 4.74/4.94 tff(29951,plain,
% 4.74/4.94 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29950])).
% 4.74/4.94 tff(29952,plain,
% 4.74/4.94 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.94 inference(symmetry,[status(thm)],[29951])).
% 4.74/4.94 tff(29953,plain,
% 4.74/4.94 (b(s(s(z)), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29943])).
% 4.74/4.94 tff(29954,plain,
% 4.74/4.94 (b(s(elem!1), s(s(s(s(z)))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29919, 29953])).
% 4.74/4.94 tff(29955,plain,
% 4.74/4.94 (b(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29954, 29952])).
% 4.74/4.94 tff(29956,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29949])).
% 4.74/4.94 tff(29957,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29942])).
% 4.74/4.94 tff(29958,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), elem!1)),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29480, 29957])).
% 4.74/4.94 tff(29959,plain,
% 4.74/4.94 (b(s(s(s(elem!1))), elem!1)),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29958, 29956])).
% 4.74/4.94 tff(29960,plain,
% 4.74/4.94 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29949])).
% 4.74/4.94 tff(29961,plain,
% 4.74/4.94 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29942])).
% 4.74/4.94 tff(29962,plain,
% 4.74/4.94 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[11465, 29933, 1731])).
% 4.74/4.94 tff(29963,plain,
% 4.74/4.94 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[106, 29962])).
% 4.74/4.94 tff(29964,plain,
% 4.74/4.94 (b(elem!1, s(s(s(s(z)))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29963, 29961])).
% 4.74/4.94 tff(29965,plain,
% 4.74/4.94 (b(elem!1, s(s(s(elem!1))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29964, 29960])).
% 4.74/4.94 tff(29966,plain,
% 4.74/4.94 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29950])).
% 4.74/4.94 tff(29967,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.94 inference(symmetry,[status(thm)],[29966])).
% 4.74/4.94 tff(29968,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29943])).
% 4.74/4.94 tff(29969,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(elem!1))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29907, 29968])).
% 4.74/4.94 tff(29970,plain,
% 4.74/4.94 (b(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29969, 29967])).
% 4.74/4.94 tff(29971,plain,
% 4.74/4.94 ($false),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[17121, 338, 29970, 29965, 29959, 29955, 29947])).
% 4.74/4.94 tff(29972,plain,((~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.94 tff(29973,plain,
% 4.74/4.94 (~r(z, s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[29972, 3893, 62, 27587, 911, 70])).
% 4.74/4.94 tff(29974,plain,
% 4.74/4.94 (b(z, s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[403, 29973])).
% 4.74/4.94 tff(29975,plain,
% 4.74/4.94 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[10729, 29974, 28482, 28244, 29911])).
% 4.74/4.94 tff(29976,plain,
% 4.74/4.94 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[106, 29975])).
% 4.74/4.94 tff(29977,plain,
% 4.74/4.94 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[10806, 29974, 28482, 28244, 29911])).
% 4.74/4.94 tff(29978,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[119, 29977])).
% 4.74/4.94 tff(29979,plain,
% 4.74/4.94 (~b(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[3815, 29978, 29911, 29974, 29976])).
% 4.74/4.94 tff(29980,plain,
% 4.74/4.94 (r(z, s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[391, 29979])).
% 4.74/4.94 tff(29981,plain,
% 4.74/4.94 (b(z, s(s(elem!1)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[27590, 29980, 29443, 27587, 62, 29909])).
% 4.74/4.94 tff(29982,plain,
% 4.74/4.94 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[18489, 29981, 29979])).
% 4.74/4.94 tff(29983,plain,
% 4.74/4.94 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[368, 29982, 62])).
% 4.74/4.94 tff(29984,plain,
% 4.74/4.94 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[14568, 29983, 911])).
% 4.74/4.94 tff(29985,plain,
% 4.74/4.94 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[16143, 29983, 911])).
% 4.74/4.94 tff(29986,plain,
% 4.74/4.94 (~r(s(s(elem!1)), z)),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[14044, 29983, 28482])).
% 4.74/4.94 tff(29987,plain,
% 4.74/4.94 (b(s(s(elem!1)), z)),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[800, 29986])).
% 4.74/4.94 tff(29988,plain,
% 4.74/4.94 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[22431, 29987, 29443, 29985, 29984, 29981])).
% 4.74/4.94 tff(29989,plain,
% 4.74/4.94 (s(z) = elem!1),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[1237, 29988])).
% 4.74/4.94 tff(29990,plain,
% 4.74/4.94 (s(s(z)) = s(elem!1)),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29989])).
% 4.74/4.94 tff(29991,plain,
% 4.74/4.94 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29990])).
% 4.74/4.94 tff(29992,plain,
% 4.74/4.94 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29991])).
% 4.74/4.94 tff(29993,plain,
% 4.74/4.94 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 4.74/4.94 inference(symmetry,[status(thm)],[29992])).
% 4.74/4.94 tff(29994,plain,
% 4.74/4.94 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29993])).
% 4.74/4.94 tff(29995,plain,
% 4.74/4.94 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.74/4.94 inference(symmetry,[status(thm)],[29994])).
% 4.74/4.94 tff(29996,plain,
% 4.74/4.94 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29995])).
% 4.74/4.94 tff(29997,plain,
% 4.74/4.94 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[3187, 29996])).
% 4.74/4.94 tff(29998,plain,
% 4.74/4.94 (r(z, s(s(s(s(z))))) <=> r(z, s(s(s(elem!1))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29992])).
% 4.74/4.94 tff(29999,plain,
% 4.74/4.94 (r(z, s(s(s(elem!1))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29980, 29998])).
% 4.74/4.94 tff(30000,plain,
% 4.74/4.94 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29989])).
% 4.74/4.94 tff(30001,plain,
% 4.74/4.94 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[30000])).
% 4.74/4.94 tff(30002,plain,
% 4.74/4.94 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[2125, 30001])).
% 4.74/4.94 tff(30003,plain,
% 4.74/4.94 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[6043, 30002])).
% 4.74/4.94 tff(30004,plain,
% 4.74/4.94 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[6051, 30003])).
% 4.74/4.94 tff(30005,plain,
% 4.74/4.94 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29989])).
% 4.74/4.94 tff(30006,plain,
% 4.74/4.94 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[30005])).
% 4.74/4.94 tff(30007,plain,
% 4.74/4.94 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[6121, 30006])).
% 4.74/4.94 tff(30008,plain,
% 4.74/4.94 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29992])).
% 4.74/4.94 tff(30009,plain,
% 4.74/4.94 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29991])).
% 4.74/4.94 tff(30010,plain,
% 4.74/4.94 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[28244, 30009])).
% 4.74/4.94 tff(30011,plain,
% 4.74/4.94 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[30010, 30008])).
% 4.74/4.94 tff(30012,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29992])).
% 4.74/4.94 tff(30013,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29989])).
% 4.74/4.94 tff(30014,plain,
% 4.74/4.94 (b(s(s(s(s(z)))), elem!1)),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29978, 30013])).
% 4.74/4.94 tff(30015,plain,
% 4.74/4.94 (b(s(s(s(elem!1))), elem!1)),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[30014, 30012])).
% 4.74/4.94 tff(30016,plain,
% 4.74/4.94 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29992])).
% 4.74/4.94 tff(30017,plain,
% 4.74/4.94 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29989])).
% 4.74/4.94 tff(30018,plain,
% 4.74/4.94 (b(elem!1, s(s(s(s(z)))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[29976, 30017])).
% 4.74/4.94 tff(30019,plain,
% 4.74/4.94 (b(elem!1, s(s(s(elem!1))))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[30018, 30016])).
% 4.74/4.94 tff(30020,plain,
% 4.74/4.94 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.74/4.94 inference(transitivity,[status(thm)],[30005, 5923])).
% 4.74/4.94 tff(30021,plain,
% 4.74/4.94 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[30020])).
% 4.74/4.94 tff(30022,plain,
% 4.74/4.94 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[6121, 30021])).
% 4.74/4.94 tff(30023,plain,
% 4.74/4.94 (r(s(z), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.74/4.94 inference(monotonicity,[status(thm)],[29989])).
% 4.74/4.94 tff(30024,plain,
% 4.74/4.94 (~b(s(z), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[3859, 29974, 29443, 29911, 29909])).
% 4.74/4.94 tff(30025,plain,
% 4.74/4.94 (r(s(z), s(s(s(z))))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[424, 30024])).
% 4.74/4.94 tff(30026,plain,
% 4.74/4.94 (r(s(z), s(s(elem!1)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[25678, 29988, 30025])).
% 4.74/4.94 tff(30027,plain,
% 4.74/4.94 (r(elem!1, s(s(elem!1)))),
% 4.74/4.94 inference(modus_ponens,[status(thm)],[30026, 30023])).
% 4.74/4.94 tff(30028,plain,
% 4.74/4.94 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[25968, 30027, 30022, 30019, 30015, 29997, 30011, 30007])).
% 4.74/4.94 tff(30029,plain,
% 4.74/4.94 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 4.74/4.94 inference(unit_resolution,[status(thm)],[6063, 30028, 30004])).
% 4.74/4.94 tff(30030,plain,
% 4.74/4.94 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.94 inference(rewrite,[status(thm)],[])).
% 4.74/4.94 tff(30031,plain,
% 4.74/4.94 (((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1))))))))) <=> ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30032,plain,
% 4.74/4.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1))))))))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30031])).
% 4.74/4.95 tff(30033,plain,
% 4.74/4.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.95 inference(transitivity,[status(thm)],[30032, 30030])).
% 4.74/4.95 tff(30034,plain,
% 4.74/4.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.95 inference(quant_inst,[status(thm)],[])).
% 4.74/4.95 tff(30035,plain,
% 4.74/4.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~r(z, s(s(s(s(s(s(elem!1))))))))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30034, 30033])).
% 4.74/4.95 tff(30036,plain,
% 4.74/4.95 (~r(z, s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30035, 82, 1353, 5994])).
% 4.74/4.95 tff(30037,plain,
% 4.74/4.95 (b(z, s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[26045, 30036])).
% 4.74/4.95 tff(30038,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30039,plain,
% 4.74/4.95 (((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30040,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1))))))))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30039])).
% 4.74/4.95 tff(30041,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.95 inference(transitivity,[status(thm)],[30040, 30038])).
% 4.74/4.95 tff(30042,plain,
% 4.74/4.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))))),
% 4.74/4.95 inference(quant_inst,[status(thm)],[])).
% 4.74/4.95 tff(30043,plain,
% 4.74/4.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(elem!1)))))), z)) | (~b(z, s(s(s(s(s(s(elem!1))))))))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30042, 30041])).
% 4.74/4.95 tff(30044,plain,
% 4.74/4.95 ($false),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30043, 338, 8722, 878, 6210, 22655, 30037])).
% 4.74/4.95 tff(30045,plain,((~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.95 tff(30046,plain,
% 4.74/4.95 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30045, 29981, 29987, 30029, 29999])).
% 4.74/4.95 tff(30047,plain,
% 4.74/4.95 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[17558, 30046, 29997])).
% 4.74/4.95 tff(30048,plain,
% 4.74/4.95 (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[22681, 29989])).
% 4.74/4.95 tff(30049,plain,
% 4.74/4.95 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[29991])).
% 4.74/4.95 tff(30050,plain,
% 4.74/4.95 (b(s(s(s(z))), s(s(z))) <=> b(s(s(s(z))), s(elem!1))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[29990])).
% 4.74/4.95 tff(30051,plain,
% 4.74/4.95 (~b(s(s(s(z))), s(z))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[3607, 29974, 29443, 29911, 29909])).
% 4.74/4.95 tff(30052,plain,
% 4.74/4.95 (r(s(s(s(z))), s(z))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[437, 30051])).
% 4.74/4.95 tff(30053,plain,
% 4.74/4.95 (~r(s(s(s(z))), s(s(z)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[28755, 30052, 70])).
% 4.74/4.95 tff(30054,plain,
% 4.74/4.95 (b(s(s(s(z))), s(s(z)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[639, 30053])).
% 4.74/4.95 tff(30055,plain,
% 4.74/4.95 (b(s(s(s(z))), s(elem!1))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30054, 30050])).
% 4.74/4.95 tff(30056,plain,
% 4.74/4.95 (b(s(s(elem!1)), s(elem!1))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30055, 30049])).
% 4.74/4.95 tff(30057,plain,
% 4.74/4.95 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[13187, 30025, 70])).
% 4.74/4.95 tff(30058,plain,
% 4.74/4.95 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[534, 30057])).
% 4.74/4.95 tff(30059,plain,
% 4.74/4.95 (b(s(elem!1), s(s(elem!1)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[6759, 29989, 30058])).
% 4.74/4.95 tff(30060,plain,
% 4.74/4.95 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.74/4.95 inference(monotonicity,[status(thm)],[29991])).
% 4.74/4.95 tff(30061,plain,
% 4.74/4.95 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.74/4.95 inference(monotonicity,[status(thm)],[29989])).
% 4.74/4.95 tff(30062,plain,
% 4.74/4.95 (r(s(s(s(z))), elem!1)),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30052, 30061])).
% 4.74/4.95 tff(30063,plain,
% 4.74/4.95 (r(s(s(elem!1)), elem!1)),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30062, 30060])).
% 4.74/4.95 tff(30064,plain,
% 4.74/4.95 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[25783, 30047, 30063, 30019, 30022, 30015, 30007])).
% 4.74/4.95 tff(30065,plain,
% 4.74/4.95 (b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[6226, 30064, 30003])).
% 4.74/4.95 tff(30066,plain,
% 4.74/4.95 (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[17611, 30065, 30059, 30056, 30029])).
% 4.74/4.95 tff(30067,plain,
% 4.74/4.95 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[17602, 30066, 30048])).
% 4.74/4.95 tff(30068,plain,
% 4.74/4.95 (r(elem!1, s(s(z))) <=> r(elem!1, s(elem!1))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[29990])).
% 4.74/4.95 tff(30069,plain,
% 4.74/4.95 (r(s(z), s(s(z))) <=> r(elem!1, s(s(z)))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[29989])).
% 4.74/4.95 tff(30070,plain,
% 4.74/4.95 (r(elem!1, s(s(z)))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[70, 30069])).
% 4.74/4.95 tff(30071,plain,
% 4.74/4.95 (r(elem!1, s(elem!1))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30070, 30068])).
% 4.74/4.95 tff(30072,plain,
% 4.74/4.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30073,plain,
% 4.74/4.95 (((~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1))) <=> ((~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30074,plain,
% 4.74/4.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30073])).
% 4.74/4.95 tff(30075,plain,
% 4.74/4.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.74/4.95 inference(transitivity,[status(thm)],[30074, 30072])).
% 4.74/4.95 tff(30076,plain,
% 4.74/4.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.74/4.95 inference(quant_inst,[status(thm)],[])).
% 4.74/4.95 tff(30077,plain,
% 4.74/4.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 4.74/4.95 tff(30078,plain,
% 4.74/4.95 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30077, 82, 30071, 30067])).
% 4.74/4.95 tff(30079,plain,
% 4.74/4.95 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[6151, 30078, 30022])).
% 4.74/4.95 tff(30080,plain,
% 4.74/4.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30081,plain,
% 4.74/4.95 (((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1))))))))) <=> ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30082,plain,
% 4.74/4.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30081])).
% 4.74/4.95 tff(30083,plain,
% 4.74/4.95 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 4.74/4.95 inference(transitivity,[status(thm)],[30082, 30080])).
% 4.74/4.95 tff(30084,plain,
% 4.74/4.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))))),
% 4.74/4.95 inference(quant_inst,[status(thm)],[])).
% 4.74/4.95 tff(30085,plain,
% 4.74/4.95 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30084, 30083])).
% 4.74/4.95 tff(30086,plain,
% 4.74/4.95 (~r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30085, 82, 30071, 30067])).
% 4.74/4.95 tff(30087,plain,
% 4.74/4.95 (b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[6185, 30086, 30007])).
% 4.74/4.95 tff(30088,plain,
% 4.74/4.95 ($false),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[6196, 30087, 30079, 30019, 30015, 30047])).
% 4.74/4.95 tff(30089,plain,((~r(s(s(z)), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.95 tff(30090,plain,
% 4.74/4.95 (~r(s(s(z)), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30089, 911, 70, 62, 27587])).
% 4.74/4.95 tff(30091,plain,
% 4.74/4.95 (b(s(s(z)), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[956, 30090])).
% 4.74/4.95 tff(30092,plain,
% 4.74/4.95 (~r(z, s(s(z)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[2492, 4550, 70])).
% 4.74/4.95 tff(30093,plain,
% 4.74/4.95 (b(z, s(s(z)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[563, 30092])).
% 4.74/4.95 tff(30094,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30095,plain,
% 4.74/4.95 (((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30096,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30095])).
% 4.74/4.95 tff(30097,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.95 inference(transitivity,[status(thm)],[30096, 30094])).
% 4.74/4.95 tff(30098,plain,
% 4.74/4.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.95 inference(quant_inst,[status(thm)],[])).
% 4.74/4.95 tff(30099,plain,
% 4.74/4.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30098, 30097])).
% 4.74/4.95 tff(30100,plain,
% 4.74/4.95 ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(s(z))))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30099, 338, 601, 1741, 2431, 540])).
% 4.74/4.95 tff(30101,plain,
% 4.74/4.95 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30100, 555])).
% 4.74/4.95 tff(30102,plain,
% 4.74/4.95 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[534, 30101])).
% 4.74/4.95 tff(30103,plain,
% 4.74/4.95 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[20909, 82, 30102, 1038])).
% 4.74/4.95 tff(30104,plain,
% 4.74/4.95 (b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[598, 30103, 61])).
% 4.74/4.95 tff(30105,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30106,plain,
% 4.74/4.95 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.95 inference(rewrite,[status(thm)],[])).
% 4.74/4.95 tff(30107,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30106])).
% 4.74/4.95 tff(30108,plain,
% 4.74/4.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.95 inference(transitivity,[status(thm)],[30107, 30105])).
% 4.74/4.95 tff(30109,plain,
% 4.74/4.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))),
% 4.74/4.95 inference(quant_inst,[status(thm)],[])).
% 4.74/4.95 tff(30110,plain,
% 4.74/4.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30109, 30108])).
% 4.74/4.95 tff(30111,plain,
% 4.74/4.95 ($false),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30110, 338, 601, 2431, 540, 30104, 555])).
% 4.74/4.95 tff(30112,plain,((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.95 tff(30113,plain,
% 4.74/4.95 (~b(z, s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30112, 30093, 30091, 29907, 28244, 29443])).
% 4.74/4.95 tff(30114,plain,
% 4.74/4.95 (r(z, s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[391, 30113])).
% 4.74/4.95 tff(30115,plain,
% 4.74/4.95 (b(z, s(s(elem!1)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[27590, 30114, 29443, 27587, 62, 29909])).
% 4.74/4.95 tff(30116,plain,
% 4.74/4.95 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[18489, 30115, 30113])).
% 4.74/4.95 tff(30117,plain,
% 4.74/4.95 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[368, 30116, 62])).
% 4.74/4.95 tff(30118,plain,
% 4.74/4.95 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[16143, 30117, 911])).
% 4.74/4.95 tff(30119,plain,
% 4.74/4.95 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[14568, 30117, 911])).
% 4.74/4.95 tff(30120,plain,
% 4.74/4.95 (~r(s(s(elem!1)), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[14044, 30117, 28482])).
% 4.74/4.95 tff(30121,plain,
% 4.74/4.95 (b(s(s(elem!1)), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[800, 30120])).
% 4.74/4.95 tff(30122,plain,
% 4.74/4.95 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[22431, 30121, 29443, 30119, 30118, 30115])).
% 4.74/4.95 tff(30123,plain,
% 4.74/4.95 (s(z) = elem!1),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[1237, 30122])).
% 4.74/4.95 tff(30124,plain,
% 4.74/4.95 (~b(z, elem!1)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[2343, 30123, 398])).
% 4.74/4.95 tff(30125,plain,
% 4.74/4.95 (~r(z, z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[26001, 82, 4550])).
% 4.74/4.95 tff(30126,plain,
% 4.74/4.95 (r(z, elem!1)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[1733, 30123, 4550])).
% 4.74/4.95 tff(30127,plain,
% 4.74/4.95 (~(elem!1 = z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[10543, 30126, 30125])).
% 4.74/4.95 tff(30128,plain,
% 4.74/4.95 (s(s(z)) = s(elem!1)),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30123])).
% 4.74/4.95 tff(30129,plain,
% 4.74/4.95 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30128])).
% 4.74/4.95 tff(30130,plain,
% 4.74/4.95 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30129])).
% 4.74/4.95 tff(30131,plain,
% 4.74/4.95 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30130])).
% 4.74/4.95 tff(30132,plain,
% 4.74/4.95 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(s(elem!1))), s(s(elem!1))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30131])).
% 4.74/4.95 tff(30133,plain,
% 4.74/4.95 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30129])).
% 4.74/4.95 tff(30134,plain,
% 4.74/4.95 ((~b(s(s(s(s(z)))), s(s(s(z))))) <=> (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30133])).
% 4.74/4.95 tff(30135,plain,
% 4.74/4.95 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[27587, 30134])).
% 4.74/4.95 tff(30136,plain,
% 4.74/4.95 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30135, 30132])).
% 4.74/4.95 tff(30137,plain,
% 4.74/4.95 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30130])).
% 4.74/4.95 tff(30138,plain,
% 4.74/4.95 ((~r(s(s(s(s(z)))), elem!1)) <=> (~r(s(s(s(elem!1))), elem!1))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30137])).
% 4.74/4.95 tff(30139,plain,
% 4.74/4.95 (~r(s(s(s(s(z)))), elem!1)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[5597, 30126, 28482])).
% 4.74/4.95 tff(30140,plain,
% 4.74/4.95 (~r(s(s(s(elem!1))), elem!1)),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[30139, 30138])).
% 4.74/4.95 tff(30141,plain,
% 4.74/4.95 (~(z = elem!1)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[2752, 30127])).
% 4.74/4.95 tff(30142,plain,
% 4.74/4.95 (~(s(elem!1) = s(z))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[1912, 30141])).
% 4.74/4.95 tff(30143,plain,
% 4.74/4.95 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30123])).
% 4.74/4.95 tff(30144,plain,
% 4.74/4.95 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.74/4.95 inference(transitivity,[status(thm)],[30143, 1254])).
% 4.74/4.95 tff(30145,plain,
% 4.74/4.95 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30144])).
% 4.74/4.95 tff(30146,plain,
% 4.74/4.95 (~(s(s(s(elem!1))) = elem!1)),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[1263, 30145])).
% 4.74/4.95 tff(30147,plain,
% 4.74/4.95 (~r(s(z), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[28248, 30113, 27587, 458, 398, 911, 62, 29443])).
% 4.74/4.95 tff(30148,plain,
% 4.74/4.95 (b(s(z), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[26, 30147])).
% 4.74/4.95 tff(30149,plain,
% 4.74/4.95 (b(s(z), elem!1) <=> b(elem!1, elem!1)),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30123])).
% 4.74/4.95 tff(30150,plain,
% 4.74/4.95 (b(elem!1, elem!1) <=> b(s(z), elem!1)),
% 4.74/4.95 inference(symmetry,[status(thm)],[30149])).
% 4.74/4.95 tff(30151,plain,
% 4.74/4.95 ((~b(elem!1, elem!1)) <=> (~b(s(z), elem!1))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30150])).
% 4.74/4.95 tff(30152,plain,
% 4.74/4.95 (~b(s(z), elem!1)),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[7551, 30151])).
% 4.74/4.95 tff(30153,plain,
% 4.74/4.95 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30130])).
% 4.74/4.95 tff(30154,plain,
% 4.74/4.95 ((~b(s(s(elem!1)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 4.74/4.95 inference(monotonicity,[status(thm)],[30153])).
% 4.74/4.95 tff(30155,plain,
% 4.74/4.95 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.95 inference(modus_ponens,[status(thm)],[62, 30154])).
% 4.74/4.95 tff(30156,plain,
% 4.74/4.95 ($false),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[28192, 30155, 30152, 30148, 30126, 30146, 30142, 30140, 30136, 30127, 30124])).
% 4.74/4.95 tff(30157,plain,(b(z, s(z)) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.95 tff(30158,plain,
% 4.74/4.95 (b(z, s(z))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30157, 458, 27587, 911, 62, 70])).
% 4.74/4.95 tff(30159,plain,
% 4.74/4.95 (~b(s(z), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[3607, 30158, 29443, 458, 29909])).
% 4.74/4.95 tff(30160,plain,
% 4.74/4.95 (r(s(z), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[26, 30159])).
% 4.74/4.95 tff(30161,plain,
% 4.74/4.95 (~r(z, s(s(z)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[619, 30160, 70])).
% 4.74/4.95 tff(30162,plain,
% 4.74/4.95 (b(z, s(s(z)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[563, 30161])).
% 4.74/4.95 tff(30163,plain,
% 4.74/4.95 (~b(z, s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[30112, 30162, 30091, 29907, 28244, 29443])).
% 4.74/4.95 tff(30164,plain,
% 4.74/4.95 (r(z, s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[391, 30163])).
% 4.74/4.95 tff(30165,plain,
% 4.74/4.95 (b(z, s(s(elem!1)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[27590, 30164, 29443, 27587, 62, 29909])).
% 4.74/4.95 tff(30166,plain,
% 4.74/4.95 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[18489, 30165, 30163])).
% 4.74/4.95 tff(30167,plain,
% 4.74/4.95 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[368, 30166, 62])).
% 4.74/4.95 tff(30168,plain,
% 4.74/4.95 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[22025, 30167, 458, 30160, 29909, 911])).
% 4.74/4.95 tff(30169,plain,
% 4.74/4.95 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[1428, 30168])).
% 4.74/4.95 tff(30170,plain,
% 4.74/4.95 (~(elem!1 = s(s(elem!1)))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[1418, 30169])).
% 4.74/4.95 tff(30171,plain,
% 4.74/4.95 (~r(s(s(elem!1)), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[14044, 30167, 28482])).
% 4.74/4.95 tff(30172,plain,
% 4.74/4.95 (b(s(s(elem!1)), z)),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[800, 30171])).
% 4.74/4.95 tff(30173,plain,
% 4.74/4.95 (~(s(s(elem!1)) = s(elem!1))),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[224, 30169])).
% 4.74/4.95 tff(30174,plain,
% 4.74/4.95 (s(z) = elem!1),
% 4.74/4.95 inference(unit_resolution,[status(thm)],[1237, 30168])).
% 4.74/4.96 tff(30175,plain,
% 4.74/4.96 (r(elem!1, z)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[867, 30174, 30160])).
% 4.74/4.96 tff(30176,plain,
% 4.74/4.96 (s(s(z)) = s(elem!1)),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30174])).
% 4.74/4.96 tff(30177,plain,
% 4.74/4.96 (r(elem!1, s(s(z))) <=> r(elem!1, s(elem!1))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30176])).
% 4.74/4.96 tff(30178,plain,
% 4.74/4.96 (r(s(z), s(s(z))) <=> r(elem!1, s(s(z)))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30174])).
% 4.74/4.96 tff(30179,plain,
% 4.74/4.96 (r(elem!1, s(s(z)))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[70, 30178])).
% 4.74/4.96 tff(30180,plain,
% 4.74/4.96 (r(elem!1, s(elem!1))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30179, 30177])).
% 4.74/4.96 tff(30181,plain,
% 4.74/4.96 (~r(elem!1, s(s(elem!1)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[20585, 30180, 30175, 30173, 30172, 30165])).
% 4.74/4.96 tff(30182,plain,
% 4.74/4.96 (b(z, s(z)) <=> b(z, elem!1)),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30174])).
% 4.74/4.96 tff(30183,plain,
% 4.74/4.96 (b(z, elem!1)),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30158, 30182])).
% 4.74/4.96 tff(30184,plain,
% 4.74/4.96 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30176])).
% 4.74/4.96 tff(30185,plain,
% 4.74/4.96 (b(s(s(s(z))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30184])).
% 4.74/4.96 tff(30186,plain,
% 4.74/4.96 (b(s(s(s(z))), elem!1)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[11879, 30174, 458])).
% 4.74/4.96 tff(30187,plain,
% 4.74/4.96 (b(s(s(elem!1)), elem!1)),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30186, 30185])).
% 4.74/4.96 tff(30188,plain,
% 4.74/4.96 (~b(elem!1, s(s(elem!1)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[18010, 30187, 30172, 30165, 30183])).
% 4.74/4.96 tff(30189,plain,
% 4.74/4.96 ($false),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[321, 30188, 30181, 30170])).
% 4.74/4.96 tff(30190,plain,((~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.96 tff(30191,plain,
% 4.74/4.96 (~b(s(s(s(z))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30190, 911, 70, 62, 27587])).
% 4.74/4.96 tff(30192,plain,
% 4.74/4.96 (r(s(s(s(z))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[437, 30191])).
% 4.74/4.96 tff(30193,plain,
% 4.74/4.96 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[2959, 30192, 911])).
% 4.74/4.96 tff(30194,plain,
% 4.74/4.96 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[106, 30193])).
% 4.74/4.96 tff(30195,plain,
% 4.74/4.96 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[24792, 30192, 28482, 28244, 29909, 29443])).
% 4.74/4.96 tff(30196,plain,
% 4.74/4.96 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[119, 30195])).
% 4.74/4.96 tff(30197,plain,
% 4.74/4.96 (b(z, s(s(elem!1)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[27590, 13914, 29443, 27587, 62, 29909])).
% 4.74/4.96 tff(30198,plain,
% 4.74/4.96 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[18489, 30197, 386])).
% 4.74/4.96 tff(30199,plain,
% 4.74/4.96 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[368, 30198, 62])).
% 4.74/4.96 tff(30200,plain,
% 4.74/4.96 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[16143, 30199, 911])).
% 4.74/4.96 tff(30201,plain,
% 4.74/4.96 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[14568, 30199, 911])).
% 4.74/4.96 tff(30202,plain,
% 4.74/4.96 (~r(s(s(elem!1)), z)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[14044, 30199, 28482])).
% 4.74/4.96 tff(30203,plain,
% 4.74/4.96 (b(s(s(elem!1)), z)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[800, 30202])).
% 4.74/4.96 tff(30204,plain,
% 4.74/4.96 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[22431, 30203, 29443, 30201, 30200, 30197])).
% 4.74/4.96 tff(30205,plain,
% 4.74/4.96 (s(z) = elem!1),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[1237, 30204])).
% 4.74/4.96 tff(30206,plain,
% 4.74/4.96 (s(s(z)) = s(elem!1)),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30205])).
% 4.74/4.96 tff(30207,plain,
% 4.74/4.96 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30206])).
% 4.74/4.96 tff(30208,plain,
% 4.74/4.96 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30207])).
% 4.74/4.96 tff(30209,plain,
% 4.74/4.96 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30208])).
% 4.74/4.96 tff(30210,plain,
% 4.74/4.96 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30205])).
% 4.74/4.96 tff(30211,plain,
% 4.74/4.96 (b(s(s(s(s(z)))), elem!1)),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30196, 30210])).
% 4.74/4.96 tff(30212,plain,
% 4.74/4.96 (b(s(s(s(elem!1))), elem!1)),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30211, 30209])).
% 4.74/4.96 tff(30213,plain,
% 4.74/4.96 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30208])).
% 4.74/4.96 tff(30214,plain,
% 4.74/4.96 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30199, 30213])).
% 4.74/4.96 tff(30215,plain,
% 4.74/4.96 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30205])).
% 4.74/4.96 tff(30216,plain,
% 4.74/4.96 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.74/4.96 inference(transitivity,[status(thm)],[30215, 1254])).
% 4.74/4.96 tff(30217,plain,
% 4.74/4.96 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30216])).
% 4.74/4.96 tff(30218,plain,
% 4.74/4.96 (~(s(s(s(elem!1))) = elem!1)),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[1263, 30217])).
% 4.74/4.96 tff(30219,plain,
% 4.74/4.96 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[1336, 30218])).
% 4.74/4.96 tff(30220,plain,
% 4.74/4.96 (b(z, s(s(s(s(z))))) <=> b(z, s(s(s(elem!1))))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30208])).
% 4.74/4.96 tff(30221,plain,
% 4.74/4.96 ((~b(z, s(s(s(s(z)))))) <=> (~b(z, s(s(s(elem!1)))))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30220])).
% 4.74/4.96 tff(30222,plain,
% 4.74/4.96 (~b(z, s(s(s(elem!1))))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[386, 30221])).
% 4.74/4.96 tff(30223,plain,
% 4.74/4.96 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30208])).
% 4.74/4.96 tff(30224,plain,
% 4.74/4.96 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30207])).
% 4.74/4.96 tff(30225,plain,
% 4.74/4.96 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[28244, 30224])).
% 4.74/4.96 tff(30226,plain,
% 4.74/4.96 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30225, 30223])).
% 4.74/4.96 tff(30227,plain,
% 4.74/4.96 (b(z, elem!1)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[27759, 30226, 30205, 30222, 30219, 30214, 30212, 30197])).
% 4.74/4.96 tff(30228,plain,
% 4.74/4.96 (b(z, s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[2343, 30227, 30205])).
% 4.74/4.96 tff(30229,plain,
% 4.74/4.96 (b(s(s(elem!1)), s(s(z))) <=> b(s(s(elem!1)), s(elem!1))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30206])).
% 4.74/4.96 tff(30230,plain,
% 4.74/4.96 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(elem!1)), s(s(z)))),
% 4.74/4.96 inference(symmetry,[status(thm)],[30229])).
% 4.74/4.96 tff(30231,plain,
% 4.74/4.96 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30207])).
% 4.74/4.96 tff(30232,plain,
% 4.74/4.96 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(elem!1)), s(s(z)))),
% 4.74/4.96 inference(transitivity,[status(thm)],[30231, 30230])).
% 4.74/4.96 tff(30233,plain,
% 4.74/4.96 (b(s(s(s(z))), s(s(z))) <=> b(s(s(s(z))), s(elem!1))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30206])).
% 4.74/4.96 tff(30234,plain,
% 4.74/4.96 (~r(s(s(s(z))), s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[28755, 30192, 70])).
% 4.74/4.96 tff(30235,plain,
% 4.74/4.96 (b(s(s(s(z))), s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[639, 30234])).
% 4.74/4.96 tff(30236,plain,
% 4.74/4.96 (b(s(s(s(z))), s(elem!1))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30235, 30233])).
% 4.74/4.96 tff(30237,plain,
% 4.74/4.96 (b(s(s(elem!1)), s(s(z)))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30236, 30232])).
% 4.74/4.96 tff(30238,plain,
% 4.74/4.96 (~b(z, s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[22104, 30237, 30091, 30203, 30197])).
% 4.74/4.96 tff(30239,plain,
% 4.74/4.96 (r(z, s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[563, 30238])).
% 4.74/4.96 tff(30240,plain,
% 4.74/4.96 (~r(s(z), z)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[619, 30239, 70])).
% 4.74/4.96 tff(30241,plain,
% 4.74/4.96 (b(s(z), z)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[26, 30240])).
% 4.74/4.96 tff(30242,plain,
% 4.74/4.96 (b(s(s(s(z))), z)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[135, 28099])).
% 4.74/4.96 tff(30243,plain,
% 4.74/4.96 (~b(z, s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[3859, 457, 1740, 486, 30242])).
% 4.74/4.96 tff(30244,plain,
% 4.74/4.96 (r(z, s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[149, 30243])).
% 4.74/4.96 tff(30245,plain,
% 4.74/4.96 (~r(z, s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[919, 30244, 911])).
% 4.74/4.96 tff(30246,plain,
% 4.74/4.96 (b(z, s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[391, 30245])).
% 4.74/4.96 tff(30247,plain,
% 4.74/4.96 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[1127, 30244, 1122])).
% 4.74/4.96 tff(30248,plain,
% 4.74/4.96 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[1011, 30247])).
% 4.74/4.96 tff(30249,plain,
% 4.74/4.96 ($false),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[29895, 338, 486, 457, 30248, 651, 2911, 30246])).
% 4.74/4.96 tff(30250,plain,((~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.96 tff(30251,plain,
% 4.74/4.96 (~b(s(z), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30250, 30241, 28482, 911, 30196, 30228, 30194])).
% 4.74/4.96 tff(30252,plain,
% 4.74/4.96 (r(s(z), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[424, 30251])).
% 4.74/4.96 tff(30253,plain,
% 4.74/4.96 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[13187, 30252, 70])).
% 4.74/4.96 tff(30254,plain,
% 4.74/4.96 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[534, 30253])).
% 4.74/4.96 tff(30255,plain,
% 4.74/4.96 (b(s(elem!1), s(s(elem!1)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[6759, 30254, 30205])).
% 4.74/4.96 tff(30256,plain,
% 4.74/4.96 (b(s(s(z)), z) <=> b(s(elem!1), z)),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30206])).
% 4.74/4.96 tff(30257,plain,
% 4.74/4.96 (b(s(elem!1), z)),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30091, 30256])).
% 4.74/4.96 tff(30258,plain,
% 4.74/4.96 (b(s(s(elem!1)), s(elem!1))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30236, 30231])).
% 4.74/4.96 tff(30259,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.74/4.96 inference(rewrite,[status(thm)],[])).
% 4.74/4.96 tff(30260,plain,
% 4.74/4.96 (((~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.74/4.96 inference(rewrite,[status(thm)],[])).
% 4.74/4.96 tff(30261,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30260])).
% 4.74/4.96 tff(30262,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.74/4.96 inference(transitivity,[status(thm)],[30261, 30259])).
% 4.74/4.96 tff(30263,plain,
% 4.74/4.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)))),
% 4.74/4.96 inference(quant_inst,[status(thm)],[])).
% 4.74/4.96 tff(30264,plain,
% 4.74/4.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30263, 30262])).
% 4.74/4.96 tff(30265,plain,
% 4.74/4.96 ($false),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30264, 338, 30197, 30258, 30203, 30257, 30255])).
% 4.74/4.96 tff(30266,plain,(b(z, s(s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.96 tff(30267,plain,
% 4.74/4.96 (b(z, s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30266, 911, 70, 62, 27587])).
% 4.74/4.96 tff(30268,plain,
% 4.74/4.96 (~b(z, s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30112, 30267, 30091, 29907, 28244, 29443])).
% 4.74/4.96 tff(30269,plain,
% 4.74/4.96 (r(z, s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[563, 30268])).
% 4.74/4.96 tff(30270,plain,
% 4.74/4.96 (~r(z, s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[2492, 30269, 70])).
% 4.74/4.96 tff(30271,plain,
% 4.74/4.96 (b(z, s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[403, 30270])).
% 4.74/4.96 tff(30272,plain,
% 4.74/4.96 (~r(s(z), z)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[619, 30269, 70])).
% 4.74/4.96 tff(30273,plain,
% 4.74/4.96 (b(s(z), z)),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[26, 30272])).
% 4.74/4.96 tff(30274,plain,
% 4.74/4.96 ($false),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[3815, 30273, 30271, 30267, 30196, 30194])).
% 4.74/4.96 tff(30275,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.96 tff(30276,plain,
% 4.74/4.96 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30275, 70, 62, 27587])).
% 4.74/4.96 tff(30277,plain,
% 4.74/4.96 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[689, 30276])).
% 4.74/4.96 tff(30278,plain,
% 4.74/4.96 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[29917, 82, 1122, 3893])).
% 4.74/4.96 tff(30279,plain,
% 4.74/4.96 (b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[598, 30278, 61])).
% 4.74/4.96 tff(30280,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.96 inference(rewrite,[status(thm)],[])).
% 4.74/4.96 tff(30281,plain,
% 4.74/4.96 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.96 inference(rewrite,[status(thm)],[])).
% 4.74/4.96 tff(30282,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30281])).
% 4.74/4.96 tff(30283,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.96 inference(transitivity,[status(thm)],[30282, 30280])).
% 4.74/4.96 tff(30284,plain,
% 4.74/4.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.96 inference(quant_inst,[status(thm)],[])).
% 4.74/4.96 tff(30285,plain,
% 4.74/4.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30284, 30283])).
% 4.74/4.96 tff(30286,plain,
% 4.74/4.96 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30285, 338, 21128, 539, 540, 600])).
% 4.74/4.96 tff(30287,plain,
% 4.74/4.96 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[534, 30286])).
% 4.74/4.96 tff(30288,plain,
% 4.74/4.96 (~r(s(z), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[5882, 30287, 1038])).
% 4.74/4.96 tff(30289,plain,
% 4.74/4.96 (b(s(z), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[424, 30288])).
% 4.74/4.96 tff(30290,plain,
% 4.74/4.96 (~b(z, s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[3859, 30289, 1741, 1740, 3348])).
% 4.74/4.96 tff(30291,plain,
% 4.74/4.96 (r(z, s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[403, 30290])).
% 4.74/4.96 tff(30292,plain,
% 4.74/4.96 (~r(z, s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[2492, 30291, 70])).
% 4.74/4.96 tff(30293,plain,
% 4.74/4.96 (b(z, s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[563, 30292])).
% 4.74/4.96 tff(30294,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))))),
% 4.74/4.96 inference(rewrite,[status(thm)],[])).
% 4.74/4.96 tff(30295,plain,
% 4.74/4.96 (((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))))),
% 4.74/4.96 inference(rewrite,[status(thm)],[])).
% 4.74/4.96 tff(30296,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z))))))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30295])).
% 4.74/4.96 tff(30297,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))))),
% 4.74/4.96 inference(transitivity,[status(thm)],[30296, 30294])).
% 4.74/4.96 tff(30298,plain,
% 4.74/4.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 4.74/4.96 inference(quant_inst,[status(thm)],[])).
% 4.74/4.96 tff(30299,plain,
% 4.74/4.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z))))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30298, 30297])).
% 4.74/4.96 tff(30300,plain,
% 4.74/4.96 ($false),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30299, 338, 30293, 30289, 1741, 1740, 3348, 21128])).
% 4.74/4.96 tff(30301,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.96 tff(30302,plain,
% 4.74/4.96 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30301, 29911, 1741, 4124, 70, 1038, 539, 540, 30279])).
% 4.74/4.96 tff(30303,plain,
% 4.74/4.96 (r(s(s(s(z))), s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[639, 30302])).
% 4.74/4.96 tff(30304,plain,
% 4.74/4.96 (~r(s(s(s(z))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[28755, 30303, 70])).
% 4.74/4.96 tff(30305,plain,
% 4.74/4.96 (b(s(s(s(z))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[437, 30304])).
% 4.74/4.96 tff(30306,plain,
% 4.74/4.96 ($false),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[3607, 14755, 24363, 1741, 458, 3348])).
% 4.74/4.96 tff(30307,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.96 tff(30308,plain,
% 4.74/4.96 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30307, 30305, 1741, 4124, 1122])).
% 4.74/4.96 tff(30309,plain,
% 4.74/4.96 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[119, 30308])).
% 4.74/4.96 tff(30310,plain,
% 4.74/4.96 (~b(z, s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[3607, 30305, 1741, 29911, 4124])).
% 4.74/4.96 tff(30311,plain,
% 4.74/4.96 (r(z, s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[403, 30310])).
% 4.74/4.96 tff(30312,plain,
% 4.74/4.96 (~b(s(s(s(z))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[12548, 28831, 1122, 539, 1731, 651, 4124])).
% 4.74/4.96 tff(30313,plain,
% 4.74/4.96 (r(s(s(s(z))), s(z))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[437, 30312])).
% 4.74/4.96 tff(30314,plain,
% 4.74/4.96 (~r(s(s(s(z))), s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[28755, 30313, 70])).
% 4.74/4.96 tff(30315,plain,
% 4.74/4.96 (b(s(s(s(z))), s(s(z)))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[639, 30314])).
% 4.74/4.96 tff(30316,plain,
% 4.74/4.96 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[25830, 30315, 1741, 4124, 29925])).
% 4.74/4.96 tff(30317,plain,
% 4.74/4.96 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[534, 30316])).
% 4.74/4.96 tff(30318,plain,
% 4.74/4.96 (~r(s(z), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[5882, 30317, 1038])).
% 4.74/4.96 tff(30319,plain,
% 4.74/4.96 (b(s(z), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[424, 30318])).
% 4.74/4.96 tff(30320,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.96 inference(rewrite,[status(thm)],[])).
% 4.74/4.96 tff(30321,plain,
% 4.74/4.96 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.96 inference(rewrite,[status(thm)],[])).
% 4.74/4.96 tff(30322,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.74/4.96 inference(monotonicity,[status(thm)],[30321])).
% 4.74/4.96 tff(30323,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.96 inference(transitivity,[status(thm)],[30322, 30320])).
% 4.74/4.96 tff(30324,plain,
% 4.74/4.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.96 inference(quant_inst,[status(thm)],[])).
% 4.74/4.96 tff(30325,plain,
% 4.74/4.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.74/4.96 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 4.74/4.96 tff(30326,plain,
% 4.74/4.96 ($false),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30325, 338, 30319, 29911, 29923, 4124, 28831, 540])).
% 4.74/4.96 tff(30327,plain,((~r(z, s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.96 tff(30328,plain,
% 4.74/4.96 (~b(s(z), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[30327, 30311, 1038, 1741, 70, 1122, 539, 540, 3893])).
% 4.74/4.96 tff(30329,plain,
% 4.74/4.96 (r(s(z), s(s(s(s(z)))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[106, 30328])).
% 4.74/4.96 tff(30330,plain,
% 4.74/4.96 (~r(s(z), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[4106, 30329, 1038])).
% 4.74/4.96 tff(30331,plain,
% 4.74/4.96 (b(s(z), s(s(s(z))))),
% 4.74/4.96 inference(unit_resolution,[status(thm)],[424, 30330])).
% 4.74/4.96 tff(30332,plain,
% 4.74/4.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.97 inference(rewrite,[status(thm)],[])).
% 4.74/4.97 tff(30333,plain,
% 4.74/4.97 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.97 inference(rewrite,[status(thm)],[])).
% 4.74/4.97 tff(30334,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 4.74/4.97 inference(monotonicity,[status(thm)],[30333])).
% 4.74/4.97 tff(30335,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.97 inference(transitivity,[status(thm)],[30334, 30332])).
% 4.74/4.97 tff(30336,plain,
% 4.74/4.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.97 inference(quant_inst,[status(thm)],[])).
% 4.74/4.97 tff(30337,plain,
% 4.74/4.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 4.74/4.97 inference(modus_ponens,[status(thm)],[30336, 30335])).
% 4.74/4.97 tff(30338,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30337, 338, 30331, 29911, 4124, 30305, 30309, 539])).
% 4.74/4.97 tff(30339,plain,((~r(s(s(z)), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30340,plain,
% 4.74/4.97 (~r(s(s(z)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30339, 30277, 28244, 29443, 70, 28482, 29907])).
% 4.74/4.97 tff(30341,plain,
% 4.74/4.97 (b(s(s(z)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[956, 30340])).
% 4.74/4.97 tff(30342,plain,
% 4.74/4.97 (~r(z, s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[619, 405, 70])).
% 4.74/4.97 tff(30343,plain,
% 4.74/4.97 (b(z, s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[563, 30342])).
% 4.74/4.97 tff(30344,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[29470, 338, 601, 1741, 3348, 2431, 21128])).
% 4.74/4.97 tff(30345,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30346,plain,
% 4.74/4.97 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30345, 30343, 1741, 3348, 2431])).
% 4.74/4.97 tff(30347,plain,
% 4.74/4.97 (r(s(s(s(z))), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[639, 30346])).
% 4.74/4.97 tff(30348,plain,
% 4.74/4.97 (~r(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[28755, 30347, 70])).
% 4.74/4.97 tff(30349,plain,
% 4.74/4.97 (b(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[437, 30348])).
% 4.74/4.97 tff(30350,plain,
% 4.74/4.97 (~b(s(z), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[20844, 30349, 539, 14542, 14544])).
% 4.74/4.97 tff(30351,plain,
% 4.74/4.97 (r(s(z), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[424, 30350])).
% 4.74/4.97 tff(30352,plain,
% 4.74/4.97 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[13187, 30351, 70])).
% 4.74/4.97 tff(30353,plain,
% 4.74/4.97 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[534, 30352])).
% 4.74/4.97 tff(30354,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[4118, 338, 30353, 30343, 3348, 30349, 14544, 539])).
% 4.74/4.97 tff(30355,plain,((~r(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30356,plain,
% 4.74/4.97 (~r(s(z), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30355, 30341, 30277, 70, 29443, 29909, 28482])).
% 4.74/4.97 tff(30357,plain,
% 4.74/4.97 (b(s(z), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[26, 30356])).
% 4.74/4.97 tff(30358,plain,
% 4.74/4.97 (~b(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[3607, 486, 1741, 1740, 3348])).
% 4.74/4.97 tff(30359,plain,
% 4.74/4.97 (r(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[437, 30358])).
% 4.74/4.97 tff(30360,plain,
% 4.74/4.97 (~r(s(s(s(z))), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[28755, 30359, 70])).
% 4.74/4.97 tff(30361,plain,
% 4.74/4.97 (b(s(s(s(z))), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[639, 30360])).
% 4.74/4.97 tff(30362,plain,
% 4.74/4.97 (~b(s(z), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[3859, 486, 1741, 1740, 3348])).
% 4.74/4.97 tff(30363,plain,
% 4.74/4.97 (r(s(z), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[424, 30362])).
% 4.74/4.97 tff(30364,plain,
% 4.74/4.97 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[13187, 30363, 70])).
% 4.74/4.97 tff(30365,plain,
% 4.74/4.97 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[534, 30364])).
% 4.74/4.97 tff(30366,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.97 inference(rewrite,[status(thm)],[])).
% 4.74/4.97 tff(30367,plain,
% 4.74/4.97 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.97 inference(rewrite,[status(thm)],[])).
% 4.74/4.97 tff(30368,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.74/4.97 inference(monotonicity,[status(thm)],[30367])).
% 4.74/4.97 tff(30369,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.97 inference(transitivity,[status(thm)],[30368, 30366])).
% 4.74/4.97 tff(30370,plain,
% 4.74/4.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.74/4.97 inference(quant_inst,[status(thm)],[])).
% 4.74/4.97 tff(30371,plain,
% 4.74/4.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.74/4.97 inference(modus_ponens,[status(thm)],[30370, 30369])).
% 4.74/4.97 tff(30372,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30371, 338, 30365, 3348, 2431, 30361, 539, 540])).
% 4.74/4.97 tff(30373,plain,((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30374,plain,
% 4.74/4.97 (~b(z, s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30373, 30357, 29909, 30277, 29907, 70, 29443, 30341])).
% 4.74/4.97 tff(30375,plain,
% 4.74/4.97 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[21745, 29911, 371, 370])).
% 4.74/4.97 tff(30376,plain,
% 4.74/4.97 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[106, 30375])).
% 4.74/4.97 tff(30377,plain,
% 4.74/4.97 (~r(z, s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30327, 30376, 1038, 1741, 70, 1122, 539, 540, 3893])).
% 4.74/4.97 tff(30378,plain,
% 4.74/4.97 (b(z, s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[403, 30377])).
% 4.74/4.97 tff(30379,plain,
% 4.74/4.97 (~b(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[3607, 30378, 1741, 29911, 4124])).
% 4.74/4.97 tff(30380,plain,
% 4.74/4.97 (r(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[437, 30379])).
% 4.74/4.97 tff(30381,plain,
% 4.74/4.97 (~r(s(s(s(z))), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[28755, 30380, 70])).
% 4.74/4.97 tff(30382,plain,
% 4.74/4.97 (b(s(s(s(z))), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[639, 30381])).
% 4.74/4.97 tff(30383,plain,
% 4.74/4.97 (~b(s(z), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[3859, 30378, 1741, 29911, 4124])).
% 4.74/4.97 tff(30384,plain,
% 4.74/4.97 (r(s(z), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[424, 30383])).
% 4.74/4.97 tff(30385,plain,
% 4.74/4.97 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[13187, 30384, 70])).
% 4.74/4.97 tff(30386,plain,
% 4.74/4.97 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[534, 30385])).
% 4.74/4.97 tff(30387,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30285, 338, 30386, 30382, 539, 540, 30279])).
% 4.74/4.97 tff(30388,plain,((~r(s(s(z)), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30389,plain,
% 4.74/4.97 (~r(s(s(z)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30388, 13914, 29907, 70, 29443, 28244, 28482, 30277, 30199])).
% 4.74/4.97 tff(30390,plain,
% 4.74/4.97 (b(s(s(z)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[956, 30389])).
% 4.74/4.97 tff(30391,plain,
% 4.74/4.97 (~r(s(z), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30355, 30390, 30277, 70, 29443, 29909, 28482])).
% 4.74/4.97 tff(30392,plain,
% 4.74/4.97 (b(s(z), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[26, 30391])).
% 4.74/4.97 tff(30393,plain,
% 4.74/4.97 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[21745, 30392, 13914, 30199])).
% 4.74/4.97 tff(30394,plain,
% 4.74/4.97 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[106, 30393])).
% 4.74/4.97 tff(30395,plain,
% 4.74/4.97 (~b(z, s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30373, 30390, 29909, 30277, 29907, 70, 29443, 30392])).
% 4.74/4.97 tff(30396,plain,
% 4.74/4.97 (r(z, s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[403, 30395])).
% 4.74/4.97 tff(30397,plain,
% 4.74/4.97 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[14739, 30396, 28482])).
% 4.74/4.97 tff(30398,plain,
% 4.74/4.97 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[119, 30397])).
% 4.74/4.97 tff(30399,plain,
% 4.74/4.97 (~b(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[12548, 30398, 28482, 30277, 30396, 30394, 29909])).
% 4.74/4.97 tff(30400,plain,
% 4.74/4.97 (r(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[437, 30399])).
% 4.74/4.97 tff(30401,plain,
% 4.74/4.97 (~r(z, s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[2492, 30396, 70])).
% 4.74/4.97 tff(30402,plain,
% 4.74/4.97 (b(z, s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[563, 30401])).
% 4.74/4.97 tff(30403,plain,
% 4.74/4.97 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30345, 30402, 29443, 29909, 30390])).
% 4.74/4.97 tff(30404,plain,
% 4.74/4.97 (r(s(s(s(z))), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[639, 30403])).
% 4.74/4.97 tff(30405,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[28755, 30404, 30400, 70])).
% 4.74/4.97 tff(30406,plain,(b(z, s(s(s(s(z))))) | (~r(s(z), s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30407,plain,
% 4.74/4.97 (b(z, s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30406, 70, 62, 27587])).
% 4.74/4.97 tff(30408,plain,
% 4.74/4.97 (~b(z, s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30112, 30341, 30407, 29907, 28244, 29443])).
% 4.74/4.97 tff(30409,plain,
% 4.74/4.97 (r(z, s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[563, 30408])).
% 4.74/4.97 tff(30410,plain,
% 4.74/4.97 (~r(z, s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[2492, 30409, 70])).
% 4.74/4.97 tff(30411,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[403, 30410, 30374])).
% 4.74/4.97 tff(30412,plain,((~r(s(z), s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30413,plain,
% 4.74/4.97 (~r(s(z), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30412, 27587, 62])).
% 4.74/4.97 tff(30414,plain,
% 4.74/4.97 (b(s(z), s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[455, 30413])).
% 4.74/4.97 tff(30415,plain,
% 4.74/4.97 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[5800, 14542, 540, 474, 14544])).
% 4.74/4.97 tff(30416,plain,
% 4.74/4.97 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[598, 30415, 61])).
% 4.74/4.97 tff(30417,plain,
% 4.74/4.97 (~b(s(s(z)), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[2919, 14542, 540, 474, 14544])).
% 4.74/4.97 tff(30418,plain,
% 4.74/4.97 (r(s(s(z)), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[472, 30417])).
% 4.74/4.97 tff(30419,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[17850, 82, 405, 3893, 459])).
% 4.74/4.97 tff(30420,plain,((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30421,plain,
% 4.74/4.97 (~r(s(s(z)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30420, 405, 30418])).
% 4.74/4.97 tff(30422,plain,
% 4.74/4.97 (b(s(s(z)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[956, 30421])).
% 4.74/4.97 tff(30423,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.97 inference(rewrite,[status(thm)],[])).
% 4.74/4.97 tff(30424,plain,
% 4.74/4.97 (((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.97 inference(rewrite,[status(thm)],[])).
% 4.74/4.97 tff(30425,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.74/4.97 inference(monotonicity,[status(thm)],[30424])).
% 4.74/4.97 tff(30426,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.97 inference(transitivity,[status(thm)],[30425, 30423])).
% 4.74/4.97 tff(30427,plain,
% 4.74/4.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.74/4.97 inference(quant_inst,[status(thm)],[])).
% 4.74/4.97 tff(30428,plain,
% 4.74/4.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.74/4.97 inference(modus_ponens,[status(thm)],[30427, 30426])).
% 4.74/4.97 tff(30429,plain,
% 4.74/4.97 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30428, 338, 1741, 30422, 474, 14544, 540])).
% 4.74/4.97 tff(30430,plain,
% 4.74/4.97 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[534, 30429])).
% 4.74/4.97 tff(30431,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[20909, 82, 30430, 1038, 30416])).
% 4.74/4.97 tff(30432,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30433,plain,
% 4.74/4.97 (~r(s(z), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30432, 28244, 29443, 30414, 29907, 28482])).
% 4.74/4.97 tff(30434,plain,
% 4.74/4.97 (b(s(z), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[26, 30433])).
% 4.74/4.97 tff(30435,plain,
% 4.74/4.97 (~b(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[5800, 28831, 540, 474, 30279])).
% 4.74/4.97 tff(30436,plain,
% 4.74/4.97 (r(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[106, 30435])).
% 4.74/4.97 tff(30437,plain,
% 4.74/4.97 (~r(s(z), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[4106, 30436, 1038])).
% 4.74/4.97 tff(30438,plain,
% 4.74/4.97 (b(s(z), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[424, 30437])).
% 4.74/4.97 tff(30439,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30325, 338, 30438, 1740, 29923, 4124, 28831, 540])).
% 4.74/4.97 tff(30440,plain,((~r(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30441,plain,
% 4.74/4.97 (~r(z, s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30440, 3893, 540, 1038, 474, 1740, 1122])).
% 4.74/4.97 tff(30442,plain,
% 4.74/4.97 (b(z, s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[403, 30441])).
% 4.74/4.97 tff(30443,plain,
% 4.74/4.97 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[10729, 30442, 1122, 1038, 1740])).
% 4.74/4.97 tff(30444,plain,
% 4.74/4.97 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[106, 30443])).
% 4.74/4.97 tff(30445,plain,
% 4.74/4.97 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[10806, 30442, 1122, 1038, 1740])).
% 4.74/4.97 tff(30446,plain,
% 4.74/4.97 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[119, 30445])).
% 4.74/4.97 tff(30447,plain,
% 4.74/4.97 ($false),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[5800, 30446, 30444, 540, 474, 30279])).
% 4.74/4.97 tff(30448,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.97 tff(30449,plain,
% 4.74/4.97 (~r(s(s(z)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30448, 30414, 29907, 28482, 28244, 30434])).
% 4.74/4.97 tff(30450,plain,
% 4.74/4.97 (b(s(s(z)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[956, 30449])).
% 4.74/4.97 tff(30451,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.97 inference(rewrite,[status(thm)],[])).
% 4.74/4.97 tff(30452,plain,
% 4.74/4.97 (((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.97 inference(rewrite,[status(thm)],[])).
% 4.74/4.97 tff(30453,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.74/4.97 inference(monotonicity,[status(thm)],[30452])).
% 4.74/4.97 tff(30454,plain,
% 4.74/4.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.97 inference(transitivity,[status(thm)],[30453, 30451])).
% 4.74/4.97 tff(30455,plain,
% 4.74/4.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 4.74/4.97 inference(quant_inst,[status(thm)],[])).
% 4.74/4.97 tff(30456,plain,
% 4.74/4.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.74/4.97 inference(modus_ponens,[status(thm)],[30455, 30454])).
% 4.74/4.97 tff(30457,plain,
% 4.74/4.97 ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30456, 338, 30434, 30450, 30414, 29907])).
% 4.74/4.97 tff(30458,plain,
% 4.74/4.97 (~b(s(s(z)), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30457, 29480])).
% 4.74/4.97 tff(30459,plain,
% 4.74/4.97 (r(s(s(z)), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[472, 30458])).
% 4.74/4.97 tff(30460,plain,
% 4.74/4.97 (~r(z, s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[2514, 30459, 1731])).
% 4.74/4.97 tff(30461,plain,
% 4.74/4.97 (b(z, s(s(z)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[563, 30460])).
% 4.74/4.97 tff(30462,plain,
% 4.74/4.97 (~b(z, s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[30112, 30461, 30450, 29907, 28244, 29443])).
% 4.74/4.97 tff(30463,plain,
% 4.74/4.97 (r(z, s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[391, 30462])).
% 4.74/4.97 tff(30464,plain,
% 4.74/4.97 (b(z, s(s(elem!1)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[27590, 30463, 29443, 27587, 62, 29909])).
% 4.74/4.97 tff(30465,plain,
% 4.74/4.97 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[18489, 30464, 30462])).
% 4.74/4.97 tff(30466,plain,
% 4.74/4.97 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[368, 30465, 62])).
% 4.74/4.97 tff(30467,plain,
% 4.74/4.97 (~r(s(s(elem!1)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[14044, 30466, 28482])).
% 4.74/4.97 tff(30468,plain,
% 4.74/4.97 (b(s(s(elem!1)), z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[800, 30467])).
% 4.74/4.97 tff(30469,plain,
% 4.74/4.97 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[11465, 30463, 1731])).
% 4.74/4.97 tff(30470,plain,
% 4.74/4.97 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[106, 30469])).
% 4.74/4.97 tff(30471,plain,
% 4.74/4.97 (~r(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[2939, 30470, 29907, 30414, 1731])).
% 4.74/4.97 tff(30472,plain,
% 4.74/4.97 (b(s(s(s(z))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[437, 30471])).
% 4.74/4.97 tff(30473,plain,
% 4.74/4.97 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[12548, 30472, 28482, 30470, 1731, 29480, 29909])).
% 4.74/4.97 tff(30474,plain,
% 4.74/4.97 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[689, 30473])).
% 4.74/4.97 tff(30475,plain,
% 4.74/4.97 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[14568, 30474, 30466])).
% 4.74/4.97 tff(30476,plain,
% 4.74/4.97 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[16143, 30474, 30466])).
% 4.74/4.97 tff(30477,plain,
% 4.74/4.97 (s(s(s(z))) = s(s(elem!1))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[22431, 30476, 29443, 30475, 30468, 30464])).
% 4.74/4.97 tff(30478,plain,
% 4.74/4.97 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[1428, 30477])).
% 4.74/4.97 tff(30479,plain,
% 4.74/4.97 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[5800, 30470, 29907, 30414, 29480])).
% 4.74/4.97 tff(30480,plain,
% 4.74/4.97 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[598, 30479, 61])).
% 4.74/4.97 tff(30481,plain,
% 4.74/4.97 (s(s(elem!1)) = s(s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[29509, 30480, 30466, 30461, 30450, 30463, 28482])).
% 4.74/4.97 tff(30482,plain,
% 4.74/4.97 (s(elem!1) = s(z)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[10916, 30481])).
% 4.74/4.97 tff(30483,plain,
% 4.74/4.97 (z = elem!1),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[1912, 30482])).
% 4.74/4.97 tff(30484,plain,
% 4.74/4.97 (s(z) = elem!1),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[1237, 30477])).
% 4.74/4.97 tff(30485,plain,
% 4.74/4.97 (r(s(s(s(s(elem!1)))), elem!1)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[7372, 30483, 28482])).
% 4.74/4.97 tff(30486,plain,
% 4.74/4.97 (~r(s(s(s(elem!1))), elem!1)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[8866, 30485, 29480, 30472, 30470, 30483])).
% 4.74/4.97 tff(30487,plain,
% 4.74/4.97 (~r(s(s(s(elem!1))), s(z))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[2590, 30486, 30484])).
% 4.74/4.97 tff(30488,plain,
% 4.74/4.97 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[7807, 30487, 30483])).
% 4.74/4.97 tff(30489,plain,
% 4.74/4.97 (b(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[1971, 30488, 30478])).
% 4.74/4.97 tff(30490,plain,
% 4.74/4.97 (elem!1 = z),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[2752, 30483])).
% 4.74/4.97 tff(30491,plain,
% 4.74/4.97 (~b(z, elem!1)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[1036, 30490])).
% 4.74/4.97 tff(30492,plain,
% 4.74/4.97 (~(s(s(elem!1)) = elem!1)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[17488, 30491, 30464])).
% 4.74/4.97 tff(30493,plain,
% 4.74/4.97 (~(s(elem!1) = elem!1)),
% 4.74/4.97 inference(unit_resolution,[status(thm)],[293, 30492])).
% 4.74/4.97 tff(30494,plain,
% 4.74/4.98 (~(s(s(elem!1)) = s(elem!1))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[224, 30478])).
% 4.74/4.98 tff(30495,plain,
% 4.74/4.98 (~(elem!1 = s(elem!1))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[231, 30494])).
% 4.74/4.98 tff(30496,plain,
% 4.74/4.98 (r(z, elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1733, 30484, 1731])).
% 4.74/4.98 tff(30497,plain,
% 4.74/4.98 (b(z, s(s(s(elem!1))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[25711, 30490, 29909])).
% 4.74/4.98 tff(30498,plain,
% 4.74/4.98 (~(s(s(s(elem!1))) = elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[2149, 30497, 30491])).
% 4.74/4.98 tff(30499,plain,
% 4.74/4.98 (b(s(s(s(elem!1))), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[2162, 30486, 30498])).
% 4.74/4.98 tff(30500,plain,
% 4.74/4.98 ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30428, 338, 29443, 30450, 30414, 29907])).
% 4.74/4.98 tff(30501,plain,
% 4.74/4.98 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30500, 29480])).
% 4.74/4.98 tff(30502,plain,
% 4.74/4.98 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[534, 30501])).
% 4.74/4.98 tff(30503,plain,
% 4.74/4.98 (~r(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[5882, 30502, 28244])).
% 4.74/4.98 tff(30504,plain,
% 4.74/4.98 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[4520, 30490, 30503])).
% 4.74/4.98 tff(30505,plain,
% 4.74/4.98 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[209, 30492])).
% 4.74/4.98 tff(30506,plain,
% 4.74/4.98 (b(s(elem!1), s(s(s(elem!1))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1515, 30505, 30504])).
% 4.74/4.98 tff(30507,plain,
% 4.74/4.98 (~r(z, s(elem!1))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[27239, 30506, 30499, 30496, 30495, 30493, 30489])).
% 4.74/4.98 tff(30508,plain,
% 4.74/4.98 (r(s(s(s(s(elem!1)))), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[2848, 30483, 28482])).
% 4.74/4.98 tff(30509,plain,
% 4.74/4.98 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[5747, 30483, 28244])).
% 4.74/4.98 tff(30510,plain,
% 4.74/4.98 (~r(s(s(s(elem!1))), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[12936, 30509, 30508])).
% 4.74/4.98 tff(30511,plain,
% 4.74/4.98 (b(s(s(s(elem!1))), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1387, 30510])).
% 4.74/4.98 tff(30512,plain,
% 4.74/4.98 (~b(z, s(elem!1))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1605, 30489, 30497, 30506, 30511])).
% 4.74/4.98 tff(30513,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1615, 30512, 30507])).
% 4.74/4.98 tff(30514,plain,((~r(z, s(z))) | b(s(s(elem!1)), s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30515,plain,
% 4.74/4.98 (~r(z, s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30514, 27587, 62])).
% 4.74/4.98 tff(30516,plain,
% 4.74/4.98 (b(z, s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[403, 30515])).
% 4.74/4.98 tff(30517,plain,
% 4.74/4.98 (~r(s(z), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[10729, 30516, 28482, 28244, 30434])).
% 4.74/4.98 tff(30518,plain,
% 4.74/4.98 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[106, 30517])).
% 4.74/4.98 tff(30519,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.98 inference(rewrite,[status(thm)],[])).
% 4.74/4.98 tff(30520,plain,
% 4.74/4.98 (((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.98 inference(rewrite,[status(thm)],[])).
% 4.74/4.98 tff(30521,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[30520])).
% 4.74/4.98 tff(30522,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.98 inference(transitivity,[status(thm)],[30521, 30519])).
% 4.74/4.98 tff(30523,plain,
% 4.74/4.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.74/4.98 inference(quant_inst,[status(thm)],[])).
% 4.74/4.98 tff(30524,plain,
% 4.74/4.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[30523, 30522])).
% 4.74/4.98 tff(30525,plain,
% 4.74/4.98 ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30524, 338, 29443, 30450, 30414, 29907])).
% 4.74/4.98 tff(30526,plain,
% 4.74/4.98 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30525, 30518])).
% 4.74/4.98 tff(30527,plain,
% 4.74/4.98 (~b(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[3859, 30516, 29443, 30434, 29909])).
% 4.74/4.98 tff(30528,plain,
% 4.74/4.98 (r(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[424, 30527])).
% 4.74/4.98 tff(30529,plain,
% 4.74/4.98 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[5882, 30528, 28244])).
% 4.74/4.98 tff(30530,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[534, 30529, 30526])).
% 4.74/4.98 tff(30531,plain,(b(s(s(s(s(z)))), s(s(s(z)))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30532,plain,
% 4.74/4.98 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30531, 62])).
% 4.74/4.98 tff(30533,plain,
% 4.74/4.98 (~b(z, s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[29897, 405, 1122, 164])).
% 4.74/4.98 tff(30534,plain,
% 4.74/4.98 (r(z, s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[403, 30533])).
% 4.74/4.98 tff(30535,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[28835, 30534, 14542, 1122, 164])).
% 4.74/4.98 tff(30536,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30537,plain,
% 4.74/4.98 (~r(s(z), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30536, 164, 28482])).
% 4.74/4.98 tff(30538,plain,
% 4.74/4.98 (b(s(z), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[26, 30537])).
% 4.74/4.98 tff(30539,plain,
% 4.74/4.98 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[28660, 16950, 28482, 486, 30538])).
% 4.74/4.98 tff(30540,plain,
% 4.74/4.98 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[368, 30539, 62])).
% 4.74/4.98 tff(30541,plain,
% 4.74/4.98 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[15221, 16950, 28482, 30538, 486])).
% 4.74/4.98 tff(30542,plain,
% 4.74/4.98 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[689, 30541])).
% 4.74/4.98 tff(30543,plain,
% 4.74/4.98 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[30540])).
% 4.74/4.98 tff(30544,plain,
% 4.74/4.98 (s(elem!1) = s(s(s(z)))),
% 4.74/4.98 inference(transitivity,[status(thm)],[182, 30543, 44])).
% 4.74/4.98 tff(30545,plain,
% 4.74/4.98 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[30544])).
% 4.74/4.98 tff(30546,plain,
% 4.74/4.98 (elem!1 = s(s(z))),
% 4.74/4.98 inference(transitivity,[status(thm)],[5450, 30545, 52])).
% 4.74/4.98 tff(30547,plain,
% 4.74/4.98 (r(elem!1, z) <=> r(s(s(z)), z)),
% 4.74/4.98 inference(monotonicity,[status(thm)],[30546])).
% 4.74/4.98 tff(30548,plain,
% 4.74/4.98 (r(s(s(z)), z) <=> r(elem!1, z)),
% 4.74/4.98 inference(symmetry,[status(thm)],[30547])).
% 4.74/4.98 tff(30549,plain,
% 4.74/4.98 ((~r(s(s(z)), z)) <=> (~r(elem!1, z))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[30548])).
% 4.74/4.98 tff(30550,plain,
% 4.74/4.98 (~b(s(s(s(s(z)))), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[27329, 16949, 62, 29443])).
% 4.74/4.98 tff(30551,plain,
% 4.74/4.98 ((~b(s(s(s(s(z)))), z)) <=> (~b(s(s(elem!1)), z))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[17833])).
% 4.74/4.98 tff(30552,plain,
% 4.74/4.98 (~b(s(s(elem!1)), z)),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[12173, 30551])).
% 4.74/4.98 tff(30553,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[878, 30552])).
% 4.74/4.98 tff(30554,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30555,plain,
% 4.74/4.98 (~b(s(s(elem!1)), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30554, 30540, 30550])).
% 4.74/4.98 tff(30556,plain,
% 4.74/4.98 (r(s(s(elem!1)), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[800, 30555])).
% 4.74/4.98 tff(30557,plain,
% 4.74/4.98 (~(s(z) = elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[10349, 30542, 62])).
% 4.74/4.98 tff(30558,plain,
% 4.74/4.98 ((~r(s(s(z)), s(s(s(s(z)))))) <=> (~r(elem!1, s(s(s(s(z))))))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[18740])).
% 4.74/4.98 tff(30559,plain,
% 4.74/4.98 (~r(elem!1, s(s(s(s(z)))))),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[30278, 30558])).
% 4.74/4.98 tff(30560,plain,
% 4.74/4.98 (r(elem!1, z) <=> r(s(s(z)), z)),
% 4.74/4.98 inference(monotonicity,[status(thm)],[16902])).
% 4.74/4.98 tff(30561,plain,
% 4.74/4.98 (r(s(s(z)), z) <=> r(elem!1, z)),
% 4.74/4.98 inference(symmetry,[status(thm)],[30560])).
% 4.74/4.98 tff(30562,plain,
% 4.74/4.98 (r(elem!1, z)),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[3893, 30561])).
% 4.74/4.98 tff(30563,plain,
% 4.74/4.98 (~r(elem!1, s(s(elem!1)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[17270, 30562, 787])).
% 4.74/4.98 tff(30564,plain,
% 4.74/4.98 (~r(elem!1, s(elem!1))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1673, 30562, 190])).
% 4.74/4.98 tff(30565,plain,
% 4.74/4.98 (b(elem!1, s(elem!1))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[252, 30564, 22343])).
% 4.74/4.98 tff(30566,plain,
% 4.74/4.98 (~r(s(s(elem!1)), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[891, 30562, 787])).
% 4.74/4.98 tff(30567,plain,
% 4.74/4.98 (~b(s(elem!1), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[346, 30566, 28553, 22355, 30565, 30563])).
% 4.74/4.98 tff(30568,plain,
% 4.74/4.98 (r(s(elem!1), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[312, 30567, 28699])).
% 4.74/4.98 tff(30569,plain,
% 4.74/4.98 (~r(z, elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[303, 30568, 190])).
% 4.74/4.98 tff(30570,plain,
% 4.74/4.98 (b(z, elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[353, 30569, 16907])).
% 4.74/4.98 tff(30571,plain,
% 4.74/4.98 (~r(elem!1, s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[2377, 30562, 164])).
% 4.74/4.98 tff(30572,plain,
% 4.74/4.98 (b(elem!1, s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1160, 30571, 28554])).
% 4.74/4.98 tff(30573,plain,
% 4.74/4.98 (~r(s(z), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30536, 164, 1122])).
% 4.74/4.98 tff(30574,plain,
% 4.74/4.98 (b(s(z), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[26, 30573])).
% 4.74/4.98 tff(30575,plain,
% 4.74/4.98 (~b(s(s(s(z))), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[2389, 30572, 539, 987, 21505])).
% 4.74/4.98 tff(30576,plain,
% 4.74/4.98 (r(s(s(s(z))), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1110, 30575, 22344])).
% 4.74/4.98 tff(30577,plain,
% 4.74/4.98 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[13638, 30279, 987, 539, 540])).
% 4.74/4.98 tff(30578,plain,
% 4.74/4.98 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[534, 30577])).
% 4.74/4.98 tff(30579,plain,
% 4.74/4.98 (~r(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[18536, 30578, 164, 486])).
% 4.74/4.98 tff(30580,plain,
% 4.74/4.98 (b(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[424, 30579])).
% 4.74/4.98 tff(30581,plain,
% 4.74/4.98 (~b(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1749, 30580, 1741, 30574, 486])).
% 4.74/4.98 tff(30582,plain,
% 4.74/4.98 (r(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[437, 30581])).
% 4.74/4.98 tff(30583,plain,
% 4.74/4.98 (~r(s(z), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[12500, 30582, 30576])).
% 4.74/4.98 tff(30584,plain,
% 4.74/4.98 (b(s(z), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[701, 30583, 691])).
% 4.74/4.98 tff(30585,plain,
% 4.74/4.98 (~b(elem!1, s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[16751, 30584, 539, 30574, 30572, 30570])).
% 4.74/4.98 tff(30586,plain,
% 4.74/4.98 (r(elem!1, s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1094, 30585, 28591])).
% 4.74/4.98 tff(30587,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30586, 30559])).
% 4.74/4.98 tff(30588,plain,((~r(s(s(z)), z)) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (s(z) = elem!1) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30589,plain,
% 4.74/4.98 (~r(s(s(z)), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30588, 30540, 30542, 30557, 29443, 486, 164, 30532, 29907, 30556, 28482])).
% 4.74/4.98 tff(30590,plain,
% 4.74/4.98 (~r(elem!1, z)),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[30589, 30549])).
% 4.74/4.98 tff(30591,plain,
% 4.74/4.98 (~r(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[28674, 28706, 72])).
% 4.74/4.98 tff(30592,plain,
% 4.74/4.98 (b(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[455, 30591])).
% 4.74/4.98 tff(30593,plain,
% 4.74/4.98 (b(s(z), elem!1)),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[30592, 21183])).
% 4.74/4.98 tff(30594,plain,
% 4.74/4.98 (r(z, elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[18760, 30593, 1740, 19404, 486, 864])).
% 4.74/4.98 tff(30595,plain,
% 4.74/4.98 (b(elem!1, s(s(s(z))))),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[476, 19280])).
% 4.74/4.98 tff(30596,plain,
% 4.74/4.98 (~b(s(s(s(z))), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[2389, 30595, 539, 987, 21505])).
% 4.74/4.98 tff(30597,plain,
% 4.74/4.98 (r(s(s(s(z))), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1110, 30596, 22344])).
% 4.74/4.98 tff(30598,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[12126, 30597, 30594, 164])).
% 4.74/4.98 tff(30599,plain,((~b(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | r(elem!1, z) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30600,plain,
% 4.74/4.98 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30599, 30590, 30538, 486, 164, 30542, 30532, 30540, 16950, 29907])).
% 4.74/4.98 tff(30601,plain,
% 4.74/4.98 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[534, 30600])).
% 4.74/4.98 tff(30602,plain,
% 4.74/4.98 (~r(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[18536, 30601, 164, 486])).
% 4.74/4.98 tff(30603,plain,
% 4.74/4.98 (b(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[424, 30602])).
% 4.74/4.98 tff(30604,plain,
% 4.74/4.98 (~b(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1749, 30603, 29443, 30538, 486])).
% 4.74/4.98 tff(30605,plain,
% 4.74/4.98 (b(elem!1, z) <=> b(s(s(z)), z)),
% 4.74/4.98 inference(monotonicity,[status(thm)],[30546])).
% 4.74/4.98 tff(30606,plain,
% 4.74/4.98 (b(s(s(z)), z) <=> b(elem!1, z)),
% 4.74/4.98 inference(symmetry,[status(thm)],[30605])).
% 4.74/4.98 tff(30607,plain,
% 4.74/4.98 (b(s(s(z)), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[956, 30589])).
% 4.74/4.98 tff(30608,plain,
% 4.74/4.98 (b(elem!1, z)),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[30607, 30606])).
% 4.74/4.98 tff(30609,plain,
% 4.74/4.98 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[29102, 474, 164, 486, 427])).
% 4.74/4.98 tff(30610,plain,
% 4.74/4.98 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[534, 30609])).
% 4.74/4.98 tff(30611,plain,
% 4.74/4.98 (b(elem!1, s(elem!1))),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[30610, 28701])).
% 4.74/4.98 tff(30612,plain,
% 4.74/4.98 (~b(s(elem!1), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[8191, 30611, 316, 1620, 763])).
% 4.74/4.98 tff(30613,plain,
% 4.74/4.98 (r(z, elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[18760, 21568, 1740, 19404, 486, 864])).
% 4.74/4.98 tff(30614,plain,
% 4.74/4.98 (~r(s(elem!1), elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[4304, 30613, 486, 1740, 3083])).
% 4.74/4.98 tff(30615,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[312, 30614, 30612, 28699])).
% 4.74/4.98 tff(30616,plain,((~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | r(elem!1, z) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30617,plain,
% 4.74/4.98 (~b(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30616, 17866, 1740, 486, 28553, 28700, 21178, 864, 178, 164, 427])).
% 4.74/4.98 tff(30618,plain,
% 4.74/4.98 (r(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[455, 30617])).
% 4.74/4.98 tff(30619,plain,
% 4.74/4.98 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[28674, 30618, 72])).
% 4.74/4.98 tff(30620,plain,
% 4.74/4.98 (b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[598, 30619, 61])).
% 4.74/4.98 tff(30621,plain,
% 4.74/4.98 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[13638, 30620, 987, 539, 540])).
% 4.74/4.98 tff(30622,plain,
% 4.74/4.98 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[534, 30621])).
% 4.74/4.98 tff(30623,plain,
% 4.74/4.98 (~r(z, s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[558, 30622, 164])).
% 4.74/4.98 tff(30624,plain,
% 4.74/4.98 (b(z, s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[563, 30623])).
% 4.74/4.98 tff(30625,plain,
% 4.74/4.98 (~b(s(s(z)), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[26163, 30624, 1741, 486, 1740, 457])).
% 4.74/4.98 tff(30626,plain,
% 4.74/4.98 (r(s(s(z)), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[472, 30625])).
% 4.74/4.98 tff(30627,plain,
% 4.74/4.98 (r(elem!1, s(z))),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[30626, 17856])).
% 4.74/4.98 tff(30628,plain,
% 4.74/4.98 (r(s(elem!1), s(z)) <=> r(s(s(s(z))), s(z))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[183])).
% 4.74/4.98 tff(30629,plain,
% 4.74/4.98 (r(s(s(s(z))), s(z)) <=> r(s(elem!1), s(z))),
% 4.74/4.98 inference(symmetry,[status(thm)],[30628])).
% 4.74/4.98 tff(30630,plain,
% 4.74/4.98 (r(s(elem!1), s(z))),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[427, 30629])).
% 4.74/4.98 tff(30631,plain,
% 4.74/4.98 (~b(z, s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[28690, 30618, 164, 1740, 427, 987, 539, 72])).
% 4.74/4.98 tff(30632,plain,
% 4.74/4.98 (~b(z, s(s(elem!1)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[18489, 30631, 178])).
% 4.74/4.98 tff(30633,plain,
% 4.74/4.98 (r(z, s(s(elem!1)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[161, 30632])).
% 4.74/4.98 tff(30634,plain,
% 4.74/4.98 (b(z, elem!1)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[360, 30633, 164, 178, 22355])).
% 4.74/4.98 tff(30635,plain,
% 4.74/4.98 (~r(elem!1, s(s(elem!1)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[29604, 30633, 17865, 691, 1131, 30634])).
% 4.74/4.98 tff(30636,plain,
% 4.74/4.98 (b(elem!1, s(s(elem!1)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[321, 30635, 22355])).
% 4.74/4.98 tff(30637,plain,
% 4.74/4.98 (~r(elem!1, s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[7599, 30636, 30630, 28700, 22343, 28699, 21178])).
% 4.74/4.98 tff(30638,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30637, 30627])).
% 4.74/4.98 tff(30639,plain,((~b(s(z), s(s(s(z))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(z, s(s(s(z))))) | (s(z) = elem!1) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | r(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30640,plain,
% 4.74/4.98 (~r(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30639, 30603, 29443, 486, 30538, 164, 30557, 30608, 30532, 30542, 29907, 16950, 30540, 30590])).
% 4.74/4.98 tff(30641,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[437, 30640, 30604])).
% 4.74/4.98 tff(30642,plain,(b(s(z), s(s(s(s(z))))) | (~b(z, s(z))) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30643,plain,
% 4.74/4.98 (b(s(z), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30642, 486, 164, 62])).
% 4.74/4.98 tff(30644,plain,
% 4.74/4.98 (~r(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[18536, 487, 164, 486])).
% 4.74/4.98 tff(30645,plain,
% 4.74/4.98 (b(s(z), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[424, 30644])).
% 4.74/4.98 tff(30646,plain,
% 4.74/4.98 (~b(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1749, 30645, 1741, 30574, 486])).
% 4.74/4.98 tff(30647,plain,
% 4.74/4.98 (r(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[437, 30646])).
% 4.74/4.98 tff(30648,plain,
% 4.74/4.98 (~b(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[29102, 30647, 164, 486, 487])).
% 4.74/4.98 tff(30649,plain,
% 4.74/4.98 (r(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[455, 30648])).
% 4.74/4.98 tff(30650,plain,
% 4.74/4.98 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[29067, 30649, 540, 987, 651, 30647])).
% 4.74/4.98 tff(30651,plain,
% 4.74/4.98 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[689, 30650])).
% 4.74/4.98 tff(30652,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[1749, 14780, 14782, 486, 1740, 457])).
% 4.74/4.98 tff(30653,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30654,plain,
% 4.74/4.98 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30653, 30651, 1122, 30574, 486, 30645])).
% 4.74/4.98 tff(30655,plain,
% 4.74/4.98 (~b(s(s(s(s(z)))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30250, 30651, 1122, 30574, 486, 30645, 651])).
% 4.74/4.98 tff(30656,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[119, 30655, 30654])).
% 4.74/4.98 tff(30657,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30658,plain,
% 4.74/4.98 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30657, 486, 28482, 30643, 29907, 30532, 164, 29443])).
% 4.74/4.98 tff(30659,plain,
% 4.74/4.98 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[534, 30658])).
% 4.74/4.98 tff(30660,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.98 inference(rewrite,[status(thm)],[])).
% 4.74/4.98 tff(30661,plain,
% 4.74/4.98 (((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.98 inference(rewrite,[status(thm)],[])).
% 4.74/4.98 tff(30662,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[30661])).
% 4.74/4.98 tff(30663,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.98 inference(transitivity,[status(thm)],[30662, 30660])).
% 4.74/4.98 tff(30664,plain,
% 4.74/4.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/4.98 inference(quant_inst,[status(thm)],[])).
% 4.74/4.98 tff(30665,plain,
% 4.74/4.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.74/4.98 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 4.74/4.98 tff(30666,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30665, 338, 476, 1741, 1740, 458, 987, 540])).
% 4.74/4.98 tff(30667,plain,((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30668,plain,
% 4.74/4.98 (~b(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30667, 30659, 29443, 30538, 30532, 29907])).
% 4.74/4.98 tff(30669,plain,
% 4.74/4.98 (r(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[437, 30668])).
% 4.74/4.98 tff(30670,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[3815, 7731, 11927, 1740, 486, 651])).
% 4.74/4.98 tff(30671,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30672,plain,
% 4.74/4.98 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30671, 486, 30538, 30643, 30669, 164])).
% 4.74/4.98 tff(30673,plain,
% 4.74/4.98 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[689, 30672])).
% 4.74/4.98 tff(30674,plain,
% 4.74/4.98 (~r(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[29067, 30673, 29907, 30532, 30643, 30669])).
% 4.74/4.98 tff(30675,plain,
% 4.74/4.98 (b(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[455, 30674])).
% 4.74/4.98 tff(30676,plain,
% 4.74/4.98 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[13638, 30673, 30532, 30659, 29907])).
% 4.74/4.98 tff(30677,plain,
% 4.74/4.98 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[598, 30676, 61])).
% 4.74/4.98 tff(30678,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[29917, 82, 1122, 3893, 575])).
% 4.74/4.98 tff(30679,plain,((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30680,plain,
% 4.74/4.98 (~r(s(s(z)), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30679, 30677, 28482])).
% 4.74/4.98 tff(30681,plain,
% 4.74/4.98 (b(s(s(z)), z)),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[956, 30680])).
% 4.74/4.98 tff(30682,plain,
% 4.74/4.98 ($false),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30524, 338, 30659, 29443, 30681, 30643, 30675, 29907])).
% 4.74/4.98 tff(30683,plain,((~b(z, s(z))) | (~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.98 tff(30684,plain,
% 4.74/4.98 (~b(z, s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[30683, 164, 62])).
% 4.74/4.98 tff(30685,plain,
% 4.74/4.98 (r(z, s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[403, 30684])).
% 4.74/4.98 tff(30686,plain,
% 4.74/4.98 (~b(s(z), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[28835, 30685, 28482, 164])).
% 4.74/4.98 tff(30687,plain,
% 4.74/4.98 (r(s(z), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[106, 30686])).
% 4.74/4.98 tff(30688,plain,
% 4.74/4.98 (~r(z, s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[11465, 30687, 30685])).
% 4.74/4.98 tff(30689,plain,
% 4.74/4.98 (b(z, s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[391, 30688])).
% 4.74/4.98 tff(30690,plain,
% 4.74/4.98 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[14739, 30685, 28482])).
% 4.74/4.98 tff(30691,plain,
% 4.74/4.98 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[119, 30690])).
% 4.74/4.98 tff(30692,plain,
% 4.74/4.98 (~b(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[29808, 30691, 30532, 30685, 164, 30538])).
% 4.74/4.98 tff(30693,plain,
% 4.74/4.98 (r(s(z), s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[455, 30692])).
% 4.74/4.98 tff(30694,plain,
% 4.74/4.98 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[28674, 30693, 30687])).
% 4.74/4.98 tff(30695,plain,
% 4.74/4.98 (b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[598, 30694, 61])).
% 4.74/4.98 tff(30696,plain,
% 4.74/4.98 (~r(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[2890, 30685, 164])).
% 4.74/4.98 tff(30697,plain,
% 4.74/4.98 (b(s(s(s(z))), s(z))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[437, 30696])).
% 4.74/4.98 tff(30698,plain,
% 4.74/4.98 (~r(z, s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[2492, 30693, 30685])).
% 4.74/4.98 tff(30699,plain,
% 4.74/4.98 (b(z, s(s(z)))),
% 4.74/4.98 inference(unit_resolution,[status(thm)],[563, 30698])).
% 4.74/4.98 tff(30700,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.98 inference(rewrite,[status(thm)],[])).
% 4.74/4.98 tff(30701,plain,
% 4.74/4.98 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.98 inference(rewrite,[status(thm)],[])).
% 4.74/4.98 tff(30702,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.74/4.98 inference(monotonicity,[status(thm)],[30701])).
% 4.74/4.98 tff(30703,plain,
% 4.74/4.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/4.98 inference(transitivity,[status(thm)],[30702, 30700])).
% 4.74/4.98 tff(30704,plain,
% 4.74/4.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))),
% 4.74/4.98 inference(quant_inst,[status(thm)],[])).
% 4.74/4.98 tff(30705,plain,
% 4.74/4.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30704, 30703])).
% 4.74/4.99 tff(30706,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30705, 338, 30699, 30697, 30532, 30691, 30695, 30689])).
% 4.74/4.99 tff(30707,plain,((~r(z, s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30708,plain,
% 4.74/4.99 (~r(z, s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30707, 62])).
% 4.74/4.99 tff(30709,plain,
% 4.74/4.99 (b(z, s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[149, 30708])).
% 4.74/4.99 tff(30710,plain,
% 4.74/4.99 (~b(s(s(s(z))), s(s(z)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30345, 21486, 1741, 3348, 21490])).
% 4.74/4.99 tff(30711,plain,
% 4.74/4.99 (r(s(s(s(z))), s(s(z)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[639, 30710])).
% 4.74/4.99 tff(30712,plain,
% 4.74/4.99 (~r(s(s(s(z))), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[28755, 30711, 70])).
% 4.74/4.99 tff(30713,plain,
% 4.74/4.99 (b(s(s(s(z))), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[437, 30712])).
% 4.74/4.99 tff(30714,plain,
% 4.74/4.99 (~b(s(z), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[5079, 30713, 987, 651, 2911])).
% 4.74/4.99 tff(30715,plain,
% 4.74/4.99 (r(s(z), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[424, 30714])).
% 4.74/4.99 tff(30716,plain,
% 4.74/4.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.74/4.99 inference(rewrite,[status(thm)],[])).
% 4.74/4.99 tff(30717,plain,
% 4.74/4.99 (((~r(s(s(s(z))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.74/4.99 inference(rewrite,[status(thm)],[])).
% 4.74/4.99 tff(30718,plain,
% 4.74/4.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z))))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30717])).
% 4.74/4.99 tff(30719,plain,
% 4.74/4.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z)))))),
% 4.74/4.99 inference(transitivity,[status(thm)],[30718, 30716])).
% 4.74/4.99 tff(30720,plain,
% 4.74/4.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(z))))))),
% 4.74/4.99 inference(quant_inst,[status(thm)],[])).
% 4.74/4.99 tff(30721,plain,
% 4.74/4.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(z))))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30720, 30719])).
% 4.74/4.99 tff(30722,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30721, 82, 30715, 70, 30711])).
% 4.74/4.99 tff(30723,plain,((~r(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30724,plain,
% 4.74/4.99 (~r(s(z), s(s(z)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30723, 14542, 987, 14544, 1741, 3348, 405])).
% 4.74/4.99 tff(30725,plain,
% 4.74/4.99 (b(s(z), s(s(z)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[455, 30724])).
% 4.74/4.99 tff(30726,plain,
% 4.74/4.99 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[5800, 30725, 540, 14542, 14544])).
% 4.74/4.99 tff(30727,plain,
% 4.74/4.99 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[598, 30726, 61])).
% 4.74/4.99 tff(30728,plain,
% 4.74/4.99 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[5800, 474, 540, 651, 2911])).
% 4.74/4.99 tff(30729,plain,
% 4.74/4.99 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[598, 30728, 61])).
% 4.74/4.99 tff(30730,plain,
% 4.74/4.99 (~r(s(s(z)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30679, 30729, 1122])).
% 4.74/4.99 tff(30731,plain,
% 4.74/4.99 (b(s(s(z)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[956, 30730])).
% 4.74/4.99 tff(30732,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[3952, 338, 476, 3348, 30731, 651, 474, 540])).
% 4.74/4.99 tff(30733,plain,((~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30734,plain,
% 4.74/4.99 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30733, 30725, 3348, 14542, 540, 1122, 14544])).
% 4.74/4.99 tff(30735,plain,
% 4.74/4.99 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[534, 30734])).
% 4.74/4.99 tff(30736,plain,
% 4.74/4.99 (~b(s(s(z)), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[2919, 24162, 540, 2911, 651])).
% 4.74/4.99 tff(30737,plain,
% 4.74/4.99 (r(s(s(z)), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[472, 30736])).
% 4.74/4.99 tff(30738,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[3882, 82, 487, 406, 30737])).
% 4.74/4.99 tff(30739,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30740,plain,
% 4.74/4.99 (~r(s(z), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30739, 30735, 540, 14544, 14542])).
% 4.74/4.99 tff(30741,plain,
% 4.74/4.99 (b(s(z), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[424, 30740])).
% 4.74/4.99 tff(30742,plain,
% 4.74/4.99 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[26532, 30741, 987, 14544, 14542])).
% 4.74/4.99 tff(30743,plain,
% 4.74/4.99 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[689, 30742])).
% 4.74/4.99 tff(30744,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[28473, 82, 30735, 30743, 30727])).
% 4.74/4.99 tff(30745,plain,((~r(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30746,plain,
% 4.74/4.99 (~r(s(z), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30745, 30532, 29907, 30709, 28482, 29443])).
% 4.74/4.99 tff(30747,plain,
% 4.74/4.99 (b(s(z), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[26, 30746])).
% 4.74/4.99 tff(30748,plain,
% 4.74/4.99 (~b(s(z), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[3859, 486, 29443, 30709, 30747])).
% 4.74/4.99 tff(30749,plain,
% 4.74/4.99 (r(s(z), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[424, 30748])).
% 4.74/4.99 tff(30750,plain,
% 4.74/4.99 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[15221, 486, 28482, 30747, 16950])).
% 4.74/4.99 tff(30751,plain,
% 4.74/4.99 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[689, 30750])).
% 4.74/4.99 tff(30752,plain,
% 4.74/4.99 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[28660, 486, 28482, 16950, 30747])).
% 4.74/4.99 tff(30753,plain,
% 4.74/4.99 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[368, 30752, 62])).
% 4.74/4.99 tff(30754,plain,
% 4.74/4.99 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30753])).
% 4.74/4.99 tff(30755,plain,
% 4.74/4.99 (s(elem!1) = s(s(s(z)))),
% 4.74/4.99 inference(transitivity,[status(thm)],[182, 30754, 44])).
% 4.74/4.99 tff(30756,plain,
% 4.74/4.99 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30755])).
% 4.74/4.99 tff(30757,plain,
% 4.74/4.99 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30756])).
% 4.74/4.99 tff(30758,plain,
% 4.74/4.99 (s(s(z)) = elem!1),
% 4.74/4.99 inference(transitivity,[status(thm)],[53, 30757, 199])).
% 4.74/4.99 tff(30759,plain,
% 4.74/4.99 (b(s(s(z)), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30758])).
% 4.74/4.99 tff(30760,plain,
% 4.74/4.99 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30759])).
% 4.74/4.99 tff(30761,plain,
% 4.74/4.99 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30753])).
% 4.74/4.99 tff(30762,plain,
% 4.74/4.99 (b(elem!1, s(s(elem!1))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(transitivity,[status(thm)],[30761, 30760])).
% 4.74/4.99 tff(30763,plain,
% 4.74/4.99 (~(elem!1 = s(s(elem!1)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[3236, 30753])).
% 4.74/4.99 tff(30764,plain,
% 4.74/4.99 (~b(s(s(elem!1)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30554, 30753, 30550])).
% 4.74/4.99 tff(30765,plain,
% 4.74/4.99 (r(s(s(elem!1)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[800, 30764])).
% 4.74/4.99 tff(30766,plain,
% 4.74/4.99 (elem!1 = s(s(z))),
% 4.74/4.99 inference(transitivity,[status(thm)],[5450, 30756, 52])).
% 4.74/4.99 tff(30767,plain,
% 4.74/4.99 ((z = elem!1) <=> (z = s(s(z)))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30766])).
% 4.74/4.99 tff(30768,plain,
% 4.74/4.99 ((z = elem!1) <=> (s(s(z)) = z)),
% 4.74/4.99 inference(transitivity,[status(thm)],[30767, 3889])).
% 4.74/4.99 tff(30769,plain,
% 4.74/4.99 ((s(s(z)) = z) <=> (z = elem!1)),
% 4.74/4.99 inference(symmetry,[status(thm)],[30768])).
% 4.74/4.99 tff(30770,plain,
% 4.74/4.99 ((s(s(z)) = z) <=> (elem!1 = z)),
% 4.74/4.99 inference(transitivity,[status(thm)],[30769, 2749])).
% 4.74/4.99 tff(30771,plain,
% 4.74/4.99 ((~(s(s(z)) = z)) <=> (~(elem!1 = z))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30770])).
% 4.74/4.99 tff(30772,plain,
% 4.74/4.99 (~(elem!1 = z)),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[56, 30771])).
% 4.74/4.99 tff(30773,plain,
% 4.74/4.99 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30766])).
% 4.74/4.99 tff(30774,plain,
% 4.74/4.99 (b(s(z), s(s(z))) <=> b(s(z), elem!1)),
% 4.74/4.99 inference(symmetry,[status(thm)],[30773])).
% 4.74/4.99 tff(30775,plain,
% 4.74/4.99 (b(s(z), elem!1)),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[474, 30774])).
% 4.74/4.99 tff(30776,plain,
% 4.74/4.99 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[11454, 30753])).
% 4.74/4.99 tff(30777,plain,
% 4.74/4.99 (s(s(s(z))) = s(elem!1)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[4794, 30776])).
% 4.74/4.99 tff(30778,plain,
% 4.74/4.99 (~(s(s(elem!1)) = s(elem!1))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[5466, 30777])).
% 4.74/4.99 tff(30779,plain,
% 4.74/4.99 (~(s(elem!1) = s(s(elem!1)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[1786, 30778])).
% 4.74/4.99 tff(30780,plain,
% 4.74/4.99 (b(s(elem!1), z) <=> b(s(s(s(z))), z)),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30755])).
% 4.74/4.99 tff(30781,plain,
% 4.74/4.99 (b(s(s(s(z))), z) <=> b(s(elem!1), z)),
% 4.74/4.99 inference(symmetry,[status(thm)],[30780])).
% 4.74/4.99 tff(30782,plain,
% 4.74/4.99 (b(s(elem!1), z)),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[29443, 30781])).
% 4.74/4.99 tff(30783,plain,
% 4.74/4.99 (b(s(s(elem!1)), s(elem!1))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[10701, 30753, 30532])).
% 4.74/4.99 tff(30784,plain,
% 4.74/4.99 (b(z, s(elem!1)) <=> b(z, s(s(s(z))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30755])).
% 4.74/4.99 tff(30785,plain,
% 4.74/4.99 (b(z, s(s(s(z)))) <=> b(z, s(elem!1))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30784])).
% 4.74/4.99 tff(30786,plain,
% 4.74/4.99 (b(z, s(elem!1))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30709, 30785])).
% 4.74/4.99 tff(30787,plain,
% 4.74/4.99 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30753])).
% 4.74/4.99 tff(30788,plain,
% 4.74/4.99 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30787])).
% 4.74/4.99 tff(30789,plain,
% 4.74/4.99 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30755])).
% 4.74/4.99 tff(30790,plain,
% 4.74/4.99 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30789])).
% 4.74/4.99 tff(30791,plain,
% 4.74/4.99 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.74/4.99 inference(transitivity,[status(thm)],[30790, 30788])).
% 4.74/4.99 tff(30792,plain,
% 4.74/4.99 ((~r(s(s(s(z))), s(s(s(s(z)))))) <=> (~r(s(elem!1), s(s(elem!1))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30791])).
% 4.74/4.99 tff(30793,plain,
% 4.74/4.99 (~r(s(elem!1), s(s(elem!1)))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30750, 30792])).
% 4.74/4.99 tff(30794,plain,
% 4.74/4.99 (~b(z, s(s(elem!1)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[9332, 30793, 30786, 30783, 30782, 30779])).
% 4.74/4.99 tff(30795,plain,
% 4.74/4.99 (r(z, s(s(elem!1)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[161, 30794])).
% 4.74/4.99 tff(30796,plain,
% 4.74/4.99 (~r(elem!1, s(s(elem!1)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[28617, 30795, 486, 30747, 30775, 30772, 30765])).
% 4.74/4.99 tff(30797,plain,
% 4.74/4.99 (b(elem!1, s(s(elem!1)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[321, 30796, 30763])).
% 4.74/4.99 tff(30798,plain,
% 4.74/4.99 (b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30797, 30762])).
% 4.74/4.99 tff(30799,plain,
% 4.74/4.99 (~b(s(s(z)), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[13638, 30798, 30532, 30751, 29907])).
% 4.74/4.99 tff(30800,plain,
% 4.74/4.99 (r(s(s(z)), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[534, 30799])).
% 4.74/4.99 tff(30801,plain,
% 4.74/4.99 (~r(s(s(z)), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[3882, 82, 30800, 30749])).
% 4.74/4.99 tff(30802,plain,
% 4.74/4.99 (b(s(s(z)), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[472, 30801])).
% 4.74/4.99 tff(30803,plain,
% 4.74/4.99 (b(z, elem!1) <=> b(z, s(s(z)))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30766])).
% 4.74/4.99 tff(30804,plain,
% 4.74/4.99 ((~(s(s(z)) = z)) <=> (~(z = elem!1))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30769])).
% 4.74/4.99 tff(30805,plain,
% 4.74/4.99 (~(z = elem!1)),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[56, 30804])).
% 4.74/4.99 tff(30806,plain,
% 4.74/4.99 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30753])).
% 4.74/4.99 tff(30807,plain,
% 4.74/4.99 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(elem!1)), elem!1)),
% 4.74/4.99 inference(symmetry,[status(thm)],[30806])).
% 4.74/4.99 tff(30808,plain,
% 4.74/4.99 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30766])).
% 4.74/4.99 tff(30809,plain,
% 4.74/4.99 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), elem!1)),
% 4.74/4.99 inference(symmetry,[status(thm)],[30808])).
% 4.74/4.99 tff(30810,plain,
% 4.74/4.99 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 4.74/4.99 inference(transitivity,[status(thm)],[30809, 30807])).
% 4.74/4.99 tff(30811,plain,
% 4.74/4.99 (b(s(s(elem!1)), elem!1)),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[29907, 30810])).
% 4.74/4.99 tff(30812,plain,
% 4.74/4.99 (r(elem!1, z) <=> r(s(s(z)), z)),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30766])).
% 4.74/4.99 tff(30813,plain,
% 4.74/4.99 (r(s(s(z)), z) <=> r(elem!1, z)),
% 4.74/4.99 inference(symmetry,[status(thm)],[30812])).
% 4.74/4.99 tff(30814,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[11301, 338, 486, 1740, 475, 2431, 474])).
% 4.74/4.99 tff(30815,plain,((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30816,plain,
% 4.74/4.99 (~b(s(s(z)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30815, 486, 30747, 30802, 474])).
% 4.74/4.99 tff(30817,plain,
% 4.74/4.99 (r(s(s(z)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[956, 30816])).
% 4.74/4.99 tff(30818,plain,
% 4.74/4.99 (r(elem!1, z)),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30817, 30813])).
% 4.74/4.99 tff(30819,plain,
% 4.74/4.99 (r(s(z), s(elem!1)) <=> r(s(z), s(s(s(z))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30755])).
% 4.74/4.99 tff(30820,plain,
% 4.74/4.99 (r(s(z), s(s(s(z)))) <=> r(s(z), s(elem!1))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30819])).
% 4.74/4.99 tff(30821,plain,
% 4.74/4.99 (r(s(z), s(elem!1))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30749, 30820])).
% 4.74/4.99 tff(30822,plain,
% 4.74/4.99 (b(elem!1, z) <=> b(s(s(z)), z)),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30766])).
% 4.74/4.99 tff(30823,plain,
% 4.74/4.99 (b(s(s(z)), z) <=> b(elem!1, z)),
% 4.74/4.99 inference(symmetry,[status(thm)],[30822])).
% 4.74/4.99 tff(30824,plain,
% 4.74/4.99 ((~b(s(s(z)), z)) <=> (~b(elem!1, z))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30823])).
% 4.74/4.99 tff(30825,plain,
% 4.74/4.99 (~b(elem!1, z)),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30816, 30824])).
% 4.74/4.99 tff(30826,plain,
% 4.74/4.99 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(z)))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30753])).
% 4.74/4.99 tff(30827,plain,
% 4.74/4.99 (b(s(z), s(s(s(s(z))))) <=> b(s(z), s(s(elem!1)))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30826])).
% 4.74/4.99 tff(30828,plain,
% 4.74/4.99 ((~b(s(z), s(s(s(s(z)))))) <=> (~b(s(z), s(s(elem!1))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30827])).
% 4.74/4.99 tff(30829,plain,
% 4.74/4.99 (~b(s(z), s(s(elem!1)))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[16949, 30828])).
% 4.74/4.99 tff(30830,plain,
% 4.74/4.99 (r(s(s(s(s(s(z))))), s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(s(z))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[17828])).
% 4.74/4.99 tff(30831,plain,
% 4.74/4.99 (r(s(s(s(elem!1))), s(s(s(z)))) <=> r(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30830])).
% 4.74/4.99 tff(30832,plain,
% 4.74/4.99 (~r(s(s(s(elem!1))), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[2177, 234, 162, 17882, 802, 763, 762])).
% 4.74/4.99 tff(30833,plain,
% 4.74/4.99 (b(s(s(s(elem!1))), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[1387, 30832])).
% 4.74/4.99 tff(30834,plain,
% 4.74/4.99 (~r(z, s(s(s(elem!1))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[7576, 234, 162, 22355, 17899])).
% 4.74/4.99 tff(30835,plain,
% 4.74/4.99 (b(z, s(s(s(elem!1))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[1373, 30834])).
% 4.74/4.99 tff(30836,plain,
% 4.74/4.99 (~b(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[1804, 30835, 1597, 1796, 30833])).
% 4.74/4.99 tff(30837,plain,
% 4.74/4.99 (r(s(s(s(elem!1))), s(elem!1))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[1971, 30836, 22530])).
% 4.74/4.99 tff(30838,plain,
% 4.74/4.99 (r(s(s(s(elem!1))), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[18171, 30837, 178])).
% 4.74/4.99 tff(30839,plain,
% 4.74/4.99 (r(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30838, 30831])).
% 4.74/4.99 tff(30840,plain,
% 4.74/4.99 (r(s(s(s(s(s(z))))), s(s(z))) <=> r(s(s(s(elem!1))), elem!1)),
% 4.74/4.99 inference(monotonicity,[status(thm)],[17828, 17906])).
% 4.74/4.99 tff(30841,plain,
% 4.74/4.99 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(s(z))))), s(s(z)))),
% 4.74/4.99 inference(symmetry,[status(thm)],[30840])).
% 4.74/4.99 tff(30842,plain,
% 4.74/4.99 (~r(elem!1, s(s(s(elem!1))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[11657, 30833, 26700, 25851, 802, 234, 30835])).
% 4.74/4.99 tff(30843,plain,
% 4.74/4.99 (~r(s(z), s(s(s(elem!1))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[6317, 30837, 1973])).
% 4.74/4.99 tff(30844,plain,
% 4.74/4.99 (b(s(z), s(s(s(elem!1))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[1870, 30843])).
% 4.74/4.99 tff(30845,plain,
% 4.74/4.99 (r(s(s(s(elem!1))), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[1888, 30844, 1740, 30835, 30833])).
% 4.74/4.99 tff(30846,plain,
% 4.74/4.99 (b(z, elem!1)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[13842, 30845, 140, 12171, 3977, 30834])).
% 4.74/4.99 tff(30847,plain,
% 4.74/4.99 (r(s(s(s(elem!1))), elem!1)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[4643, 30846, 30833, 30835, 17882, 30842])).
% 4.74/4.99 tff(30848,plain,
% 4.74/4.99 (r(s(s(s(s(s(z))))), s(s(z)))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30847, 30841])).
% 4.74/4.99 tff(30849,plain,
% 4.74/4.99 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.74/4.99 inference(rewrite,[status(thm)],[])).
% 4.74/4.99 tff(30850,plain,
% 4.74/4.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.74/4.99 inference(quant_inst,[status(thm)],[])).
% 4.74/4.99 tff(30851,plain,
% 4.74/4.99 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30850, 30849])).
% 4.74/4.99 tff(30852,plain,
% 4.74/4.99 ((~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30851, 82, 487])).
% 4.74/4.99 tff(30853,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30852, 30848, 30839])).
% 4.74/4.99 tff(30854,plain,((~r(z, elem!1)) | (~r(s(s(z)), s(s(s(z))))) | (~(s(s(elem!1)) = s(s(s(s(z)))))) | b(z, s(s(elem!1))) | b(s(z), s(s(elem!1))) | b(elem!1, z) | (~b(s(z), z)) | (~r(s(z), s(elem!1))) | (~r(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30855,plain,
% 4.74/4.99 (~r(z, elem!1)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30854, 30800, 30753, 30794, 30829, 30825, 30747, 30821, 30818, 30786, 30782, 30811, 30797])).
% 4.74/4.99 tff(30856,plain,
% 4.74/4.99 (b(z, elem!1)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[353, 30855, 30805])).
% 4.74/4.99 tff(30857,plain,
% 4.74/4.99 (b(z, s(s(z)))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30856, 30803])).
% 4.74/4.99 tff(30858,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[18750, 338, 486, 30857, 30747, 30802, 474])).
% 4.74/4.99 tff(30859,plain,((~b(z, s(z))) | (~b(s(z), s(s(z)))) | b(s(z), s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30860,plain,
% 4.74/4.99 (~b(z, s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30859, 474, 16949, 62])).
% 4.74/4.99 tff(30861,plain,
% 4.74/4.99 (r(z, s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[403, 30860])).
% 4.74/4.99 tff(30862,plain,
% 4.74/4.99 (~r(z, s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[11465, 30861, 16950])).
% 4.74/4.99 tff(30863,plain,
% 4.74/4.99 (b(z, s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[391, 30862])).
% 4.74/4.99 tff(30864,plain,
% 4.74/4.99 (~r(s(s(s(s(z)))), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[14739, 30861, 28482])).
% 4.74/4.99 tff(30865,plain,
% 4.74/4.99 (b(s(s(s(s(z)))), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[119, 30864])).
% 4.74/4.99 tff(30866,plain,
% 4.74/4.99 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[20921, 338, 475, 474, 2911, 540])).
% 4.74/4.99 tff(30867,plain,
% 4.74/4.99 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[598, 30866, 61])).
% 4.74/4.99 tff(30868,plain,
% 4.74/4.99 (~r(s(s(z)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30679, 30867, 1122])).
% 4.74/4.99 tff(30869,plain,
% 4.74/4.99 (b(s(s(z)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[956, 30868])).
% 4.74/4.99 tff(30870,plain,
% 4.74/4.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.99 inference(rewrite,[status(thm)],[])).
% 4.74/4.99 tff(30871,plain,
% 4.74/4.99 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.99 inference(rewrite,[status(thm)],[])).
% 4.74/4.99 tff(30872,plain,
% 4.74/4.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30871])).
% 4.74/4.99 tff(30873,plain,
% 4.74/4.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/4.99 inference(transitivity,[status(thm)],[30872, 30870])).
% 4.74/4.99 tff(30874,plain,
% 4.74/4.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 4.74/4.99 inference(quant_inst,[status(thm)],[])).
% 4.74/4.99 tff(30875,plain,
% 4.74/4.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30874, 30873])).
% 4.74/4.99 tff(30876,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30875, 338, 1740, 475, 3348, 30869, 987, 555])).
% 4.74/4.99 tff(30877,plain,((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30878,plain,
% 4.74/4.99 (~b(s(s(z)), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30877, 30863, 30709, 30532, 30747, 28482, 474, 30865, 29907])).
% 4.74/4.99 tff(30879,plain,
% 4.74/4.99 (r(s(s(z)), s(z))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[472, 30878])).
% 4.74/4.99 tff(30880,plain,
% 4.74/4.99 (~r(s(s(z)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[29921, 30879, 30861])).
% 4.74/4.99 tff(30881,plain,
% 4.74/4.99 (b(s(s(z)), z)),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[956, 30880])).
% 4.74/4.99 tff(30882,plain,
% 4.74/4.99 (~r(z, s(s(z)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[2514, 30879, 30861])).
% 4.74/4.99 tff(30883,plain,
% 4.74/4.99 (b(z, s(s(z)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[563, 30882])).
% 4.74/4.99 tff(30884,plain,
% 4.74/4.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.99 inference(rewrite,[status(thm)],[])).
% 4.74/4.99 tff(30885,plain,
% 4.74/4.99 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.99 inference(rewrite,[status(thm)],[])).
% 4.74/4.99 tff(30886,plain,
% 4.74/4.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 4.74/4.99 inference(monotonicity,[status(thm)],[30885])).
% 4.74/4.99 tff(30887,plain,
% 4.74/4.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 4.74/4.99 inference(transitivity,[status(thm)],[30886, 30884])).
% 4.74/4.99 tff(30888,plain,
% 4.74/4.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 4.74/4.99 inference(quant_inst,[status(thm)],[])).
% 4.74/4.99 tff(30889,plain,
% 4.74/4.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 4.74/4.99 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 4.74/4.99 tff(30890,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30889, 338, 30883, 30747, 30881, 474, 29907, 30863])).
% 4.74/4.99 tff(30891,plain,((~b(s(z), s(s(z)))) | b(s(z), s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/4.99 tff(30892,plain,
% 4.74/4.99 (~b(s(z), s(s(z)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[30891, 16949, 62])).
% 4.74/4.99 tff(30893,plain,
% 4.74/4.99 (r(s(z), s(s(z)))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[455, 30892])).
% 4.74/4.99 tff(30894,plain,
% 4.74/4.99 (~r(s(s(z)), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[13187, 406, 70])).
% 4.74/4.99 tff(30895,plain,
% 4.74/4.99 (b(s(s(z)), s(s(s(z))))),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[534, 30894])).
% 4.74/4.99 tff(30896,plain,
% 4.74/4.99 ($false),
% 4.74/4.99 inference(unit_resolution,[status(thm)],[13638, 30895, 26542, 987, 28676, 540])).
% 4.74/4.99 tff(30897,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(30898,plain,
% 4.74/5.00 (~r(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30897, 30893, 29907, 30532, 16950])).
% 4.74/5.00 tff(30899,plain,
% 4.74/5.00 (b(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[424, 30898])).
% 4.74/5.00 tff(30900,plain,
% 4.74/5.00 (~b(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[3859, 30899, 29443, 30709, 30747])).
% 4.74/5.00 tff(30901,plain,
% 4.74/5.00 (r(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[403, 30900])).
% 4.74/5.00 tff(30902,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/5.00 inference(rewrite,[status(thm)],[])).
% 4.74/5.00 tff(30903,plain,
% 4.74/5.00 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/5.00 inference(rewrite,[status(thm)],[])).
% 4.74/5.00 tff(30904,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.74/5.00 inference(monotonicity,[status(thm)],[30903])).
% 4.74/5.00 tff(30905,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/5.00 inference(transitivity,[status(thm)],[30904, 30902])).
% 4.74/5.00 tff(30906,plain,
% 4.74/5.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))),
% 4.74/5.00 inference(quant_inst,[status(thm)],[])).
% 4.74/5.00 tff(30907,plain,
% 4.74/5.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.74/5.00 inference(modus_ponens,[status(thm)],[30906, 30905])).
% 4.74/5.00 tff(30908,plain,
% 4.74/5.00 ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(s(z))))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30907, 338, 29443, 30747, 30709, 30532])).
% 4.74/5.00 tff(30909,plain,
% 4.74/5.00 (~b(z, s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30908, 30899])).
% 4.74/5.00 tff(30910,plain,
% 4.74/5.00 (r(z, s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[391, 30909])).
% 4.74/5.00 tff(30911,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[11465, 30910, 30901, 16950])).
% 4.74/5.00 tff(30912,plain,(b(s(z), s(s(s(s(z))))) | b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(30913,plain,
% 4.74/5.00 (b(s(z), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30912, 62])).
% 4.74/5.00 tff(30914,plain,
% 4.74/5.00 (~r(s(z), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30745, 987, 540, 3348, 1122, 1741])).
% 4.74/5.00 tff(30915,plain,
% 4.74/5.00 (b(s(z), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[26, 30914])).
% 4.74/5.00 tff(30916,plain,
% 4.74/5.00 (~b(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[5079, 457, 987, 651, 2911])).
% 4.74/5.00 tff(30917,plain,
% 4.74/5.00 (r(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[437, 30916])).
% 4.74/5.00 tff(30918,plain,
% 4.74/5.00 (~r(s(s(s(z))), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[28755, 30917, 70])).
% 4.74/5.00 tff(30919,plain,
% 4.74/5.00 (b(s(s(s(z))), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[639, 30918])).
% 4.74/5.00 tff(30920,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30299, 338, 601, 457, 1741, 1740, 3348, 30919])).
% 4.74/5.00 tff(30921,plain,((~b(s(z), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(30922,plain,
% 4.74/5.00 (~b(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30921, 29925, 1741, 30915, 3348, 70, 987, 651, 28831])).
% 4.74/5.00 tff(30923,plain,
% 4.74/5.00 (r(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[424, 30922])).
% 4.74/5.00 tff(30924,plain,
% 4.74/5.00 (~r(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[13187, 30923, 70])).
% 4.74/5.00 tff(30925,plain,
% 4.74/5.00 (b(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[534, 30924])).
% 4.74/5.00 tff(30926,plain,
% 4.74/5.00 (~b(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30667, 30925, 1741, 30915, 987, 540])).
% 4.74/5.00 tff(30927,plain,
% 4.74/5.00 (r(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[437, 30926])).
% 4.74/5.00 tff(30928,plain,
% 4.74/5.00 (~b(s(s(s(z))), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[25830, 30925, 1741, 3348, 29925])).
% 4.74/5.00 tff(30929,plain,
% 4.74/5.00 (r(s(s(s(z))), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[639, 30928])).
% 4.74/5.00 tff(30930,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[28755, 30929, 30927, 70])).
% 4.74/5.00 tff(30931,plain,((~r(z, s(z))) | (~r(s(z), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(30932,plain,
% 4.74/5.00 (~r(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30931, 70, 1741, 3348, 987, 540, 651, 1122])).
% 4.74/5.00 tff(30933,plain,
% 4.74/5.00 (b(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[403, 30932])).
% 4.74/5.00 tff(30934,plain,
% 4.74/5.00 (~b(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[3607, 30933, 1741, 3348, 30915])).
% 4.74/5.00 tff(30935,plain,
% 4.74/5.00 (r(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[437, 30934])).
% 4.74/5.00 tff(30936,plain,
% 4.74/5.00 (~r(s(s(s(z))), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[28755, 30935, 70])).
% 4.74/5.00 tff(30937,plain,
% 4.74/5.00 (b(s(s(s(z))), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[639, 30936])).
% 4.74/5.00 tff(30938,plain,
% 4.74/5.00 (~b(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[3859, 30933, 1741, 3348, 30915])).
% 4.74/5.00 tff(30939,plain,
% 4.74/5.00 (r(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[424, 30938])).
% 4.74/5.00 tff(30940,plain,
% 4.74/5.00 (~r(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[13187, 30939, 70])).
% 4.74/5.00 tff(30941,plain,
% 4.74/5.00 (b(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[534, 30940])).
% 4.74/5.00 tff(30942,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/5.00 inference(rewrite,[status(thm)],[])).
% 4.74/5.00 tff(30943,plain,
% 4.74/5.00 (((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/5.00 inference(rewrite,[status(thm)],[])).
% 4.74/5.00 tff(30944,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.74/5.00 inference(monotonicity,[status(thm)],[30943])).
% 4.74/5.00 tff(30945,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.74/5.00 inference(transitivity,[status(thm)],[30944, 30942])).
% 4.74/5.00 tff(30946,plain,
% 4.74/5.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/5.00 inference(quant_inst,[status(thm)],[])).
% 4.74/5.00 tff(30947,plain,
% 4.74/5.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.74/5.00 inference(modus_ponens,[status(thm)],[30946, 30945])).
% 4.74/5.00 tff(30948,plain,
% 4.74/5.00 (~b(s(s(z)), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30947, 338, 30941, 3348, 30937, 987, 540])).
% 4.74/5.00 tff(30949,plain,
% 4.74/5.00 (r(s(s(z)), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[956, 30948])).
% 4.74/5.00 tff(30950,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/5.00 inference(rewrite,[status(thm)],[])).
% 4.74/5.00 tff(30951,plain,
% 4.74/5.00 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/5.00 inference(rewrite,[status(thm)],[])).
% 4.74/5.00 tff(30952,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.74/5.00 inference(monotonicity,[status(thm)],[30951])).
% 4.74/5.00 tff(30953,plain,
% 4.74/5.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/5.00 inference(transitivity,[status(thm)],[30952, 30950])).
% 4.74/5.00 tff(30954,plain,
% 4.74/5.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.74/5.00 inference(quant_inst,[status(thm)],[])).
% 4.74/5.00 tff(30955,plain,
% 4.74/5.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.74/5.00 inference(modus_ponens,[status(thm)],[30954, 30953])).
% 4.74/5.00 tff(30956,plain,
% 4.74/5.00 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30955, 338, 30941, 30937, 987, 540])).
% 4.74/5.00 tff(30957,plain,
% 4.74/5.00 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[598, 30956, 61])).
% 4.74/5.00 tff(30958,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30679, 30957, 30949, 1122])).
% 4.74/5.00 tff(30959,plain,((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(30960,plain,
% 4.74/5.00 (~r(s(z), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30959, 28482, 30532, 29907, 30709, 29443, 30913])).
% 4.74/5.00 tff(30961,plain,
% 4.74/5.00 (b(s(z), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[455, 30960])).
% 4.74/5.00 tff(30962,plain,
% 4.74/5.00 (~b(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30733, 28831, 3348, 651, 540, 1122, 474])).
% 4.74/5.00 tff(30963,plain,
% 4.74/5.00 (r(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[534, 30962])).
% 4.74/5.00 tff(30964,plain,
% 4.74/5.00 (~r(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2939, 1731, 540, 651, 474])).
% 4.74/5.00 tff(30965,plain,
% 4.74/5.00 (b(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[437, 30964])).
% 4.74/5.00 tff(30966,plain,
% 4.74/5.00 (~b(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[5079, 30965, 987, 651, 28831])).
% 4.74/5.00 tff(30967,plain,
% 4.74/5.00 (r(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[424, 30966])).
% 4.74/5.00 tff(30968,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30739, 30967, 30963, 540, 651, 28831])).
% 4.74/5.00 tff(30969,plain,((~r(z, s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(30970,plain,
% 4.74/5.00 (~r(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30969, 29907, 30913, 30532, 30709, 28482, 30961])).
% 4.74/5.00 tff(30971,plain,
% 4.74/5.00 (b(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[403, 30970])).
% 4.74/5.00 tff(30972,plain,
% 4.74/5.00 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[29411, 475, 540, 651, 474])).
% 4.74/5.00 tff(30973,plain,
% 4.74/5.00 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[598, 30972, 61])).
% 4.74/5.00 tff(30974,plain,
% 4.74/5.00 (~b(s(s(z)), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30815, 475, 1740, 486, 474])).
% 4.74/5.00 tff(30975,plain,
% 4.74/5.00 (r(s(s(z)), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[956, 30974])).
% 4.74/5.00 tff(30976,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30679, 30975, 30973, 1122])).
% 4.74/5.00 tff(30977,plain,((~b(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(30978,plain,
% 4.74/5.00 (~b(s(s(z)), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30977, 28482, 30747, 30971, 30961, 29907, 30913])).
% 4.74/5.00 tff(30979,plain,
% 4.74/5.00 (r(s(s(z)), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[472, 30978])).
% 4.74/5.00 tff(30980,plain,
% 4.74/5.00 (~b(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[3607, 30971, 29443, 30709, 30747])).
% 4.74/5.00 tff(30981,plain,
% 4.74/5.00 (r(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[437, 30980])).
% 4.74/5.00 tff(30982,plain,
% 4.74/5.00 (~r(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2929, 82, 30981, 30979])).
% 4.74/5.00 tff(30983,plain,
% 4.74/5.00 (b(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[534, 30982])).
% 4.74/5.00 tff(30984,plain,
% 4.74/5.00 (~b(s(s(s(s(z)))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30733, 30983, 30709, 30913, 29907, 28482, 30961])).
% 4.74/5.00 tff(30985,plain,
% 4.74/5.00 (r(s(s(s(s(z)))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[119, 30984])).
% 4.74/5.00 tff(30986,plain,
% 4.74/5.00 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[3708, 30985, 30981])).
% 4.74/5.00 tff(30987,plain,
% 4.74/5.00 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[689, 30986])).
% 4.74/5.00 tff(30988,plain,
% 4.74/5.00 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[13638, 30987, 30532, 30983, 29907])).
% 4.74/5.00 tff(30989,plain,
% 4.74/5.00 (r(s(s(z)), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[598, 30988, 61])).
% 4.74/5.00 tff(30990,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[943, 82, 30985, 30979, 30989])).
% 4.74/5.00 tff(30991,plain,(b(s(s(elem!1)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(30992,plain,
% 4.74/5.00 (~r(s(s(s(z))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[28492, 1122, 405])).
% 4.74/5.00 tff(30993,plain,
% 4.74/5.00 (b(s(s(s(z))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[135, 30992])).
% 4.74/5.00 tff(30994,plain,
% 4.74/5.00 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[5636, 30993, 71, 1122])).
% 4.74/5.00 tff(30995,plain,
% 4.74/5.00 (~r(z, s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[30536, 1122, 405])).
% 4.74/5.00 tff(30996,plain,
% 4.74/5.00 (b(z, s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[149, 30995])).
% 4.74/5.00 tff(30997,plain,
% 4.74/5.00 (~r(z, s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[552, 27, 72])).
% 4.74/5.00 tff(30998,plain,
% 4.74/5.00 (b(z, s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[391, 30997])).
% 4.74/5.00 tff(30999,plain,
% 4.74/5.00 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[22114, 458, 71, 474, 1038, 457])).
% 4.74/5.00 tff(31000,plain,
% 4.74/5.00 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[689, 30999])).
% 4.74/5.00 tff(31001,plain,
% 4.74/5.00 (~r(s(s(s(s(z)))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[18385, 458, 71, 457, 24689])).
% 4.74/5.00 tff(31002,plain,
% 4.74/5.00 (b(s(s(s(s(z)))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[119, 31001])).
% 4.74/5.00 tff(31003,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[18392, 338, 24689, 457, 458, 474, 31002, 31000])).
% 4.74/5.00 tff(31004,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(31005,plain,
% 4.74/5.00 (~b(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[31004, 10727, 17571, 71, 1038])).
% 4.74/5.00 tff(31006,plain,
% 4.74/5.00 (r(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[437, 31005])).
% 4.74/5.00 tff(31007,plain,
% 4.74/5.00 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2959, 31006, 72])).
% 4.74/5.00 tff(31008,plain,
% 4.74/5.00 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[689, 31007])).
% 4.74/5.00 tff(31009,plain,
% 4.74/5.00 (~r(s(s(s(s(z)))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2977, 405, 72])).
% 4.74/5.00 tff(31010,plain,
% 4.74/5.00 (b(s(s(s(s(z)))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[127, 31009])).
% 4.74/5.00 tff(31011,plain,
% 4.74/5.00 (~r(s(s(s(z))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[432, 31006, 405])).
% 4.74/5.00 tff(31012,plain,
% 4.74/5.00 (b(s(s(s(z))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[135, 31011])).
% 4.74/5.00 tff(31013,plain,
% 4.74/5.00 (~b(z, s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[25652, 31012, 31010, 26065, 31008])).
% 4.74/5.00 tff(31014,plain,
% 4.74/5.00 (r(z, s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[149, 31013])).
% 4.74/5.00 tff(31015,plain,
% 4.74/5.00 (~r(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2890, 31014, 31006])).
% 4.74/5.00 tff(31016,plain,
% 4.74/5.00 (~b(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[26095, 31014, 72, 31010, 10727, 31012, 31008, 405])).
% 4.74/5.00 tff(31017,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[403, 31016, 31015])).
% 4.74/5.00 tff(31018,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(31019,plain,
% 4.74/5.00 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[31018, 27, 72, 71])).
% 4.74/5.00 tff(31020,plain,
% 4.74/5.00 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1011, 31019])).
% 4.74/5.00 tff(31021,plain,
% 4.74/5.00 (~r(s(s(s(s(z)))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2977, 27, 72])).
% 4.74/5.00 tff(31022,plain,
% 4.74/5.00 (b(s(s(s(s(z)))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[127, 31021])).
% 4.74/5.00 tff(31023,plain,
% 4.74/5.00 (~r(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[414, 150, 27])).
% 4.74/5.00 tff(31024,plain,
% 4.74/5.00 (b(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[424, 31023])).
% 4.74/5.00 tff(31025,plain,
% 4.74/5.00 (~r(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[432, 136, 27])).
% 4.74/5.00 tff(31026,plain,
% 4.74/5.00 (b(s(s(s(z))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[437, 31025])).
% 4.74/5.00 tff(31027,plain,
% 4.74/5.00 (~b(s(s(s(s(z)))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[18222, 31026, 31022, 31020, 150, 31024, 30998, 71])).
% 4.74/5.00 tff(31028,plain,
% 4.74/5.00 (r(s(s(s(s(z)))), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[119, 31027])).
% 4.74/5.00 tff(31029,plain,
% 4.74/5.00 (~b(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[18385, 31028, 71, 31024, 31026])).
% 4.74/5.00 tff(31030,plain,
% 4.74/5.00 (r(s(s(z)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[534, 31029])).
% 4.74/5.00 tff(31031,plain,
% 4.74/5.00 (~b(z, s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[536, 31028, 71, 150, 31024, 31026])).
% 4.74/5.00 tff(31032,plain,
% 4.74/5.00 (~r(s(s(z)), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[464, 31028, 71])).
% 4.74/5.00 tff(31033,plain,
% 4.74/5.00 (b(s(s(z)), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[472, 31032])).
% 4.74/5.00 tff(31034,plain,
% 4.74/5.00 (~r(s(s(elem!1)), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1230, 10215, 426, 871, 458, 457])).
% 4.74/5.00 tff(31035,plain,
% 4.74/5.00 (b(s(s(elem!1)), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[800, 31034])).
% 4.74/5.00 tff(31036,plain,
% 4.74/5.00 ((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[15478, 30991])).
% 4.74/5.00 tff(31037,plain,
% 4.74/5.00 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[31036, 31035, 175, 555])).
% 4.74/5.00 tff(31038,plain,
% 4.74/5.00 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[10478, 31037, 4798])).
% 4.74/5.00 tff(31039,plain,
% 4.74/5.00 (~r(s(s(elem!1)), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[10675, 31038, 108])).
% 4.74/5.00 tff(31040,plain,
% 4.74/5.00 (b(s(s(elem!1)), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[784, 31039])).
% 4.74/5.00 tff(31041,plain,
% 4.74/5.00 (b(s(s(s(z))), s(s(elem!1)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[6754, 6722, 871])).
% 4.74/5.00 tff(31042,plain,
% 4.74/5.00 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[6876, 31041, 457, 458, 10215])).
% 4.74/5.00 tff(31043,plain,
% 4.74/5.00 (r(s(s(elem!1)), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[6881, 31042, 1208])).
% 4.74/5.00 tff(31044,plain,
% 4.74/5.00 (~r(s(s(elem!1)), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[17012, 31043, 487])).
% 4.74/5.00 tff(31045,plain,
% 4.74/5.00 (~(z = elem!1)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[11899, 31043, 164, 165])).
% 4.74/5.00 tff(31046,plain,
% 4.74/5.00 (~(s(elem!1) = s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1912, 31045])).
% 4.74/5.00 tff(31047,plain,
% 4.74/5.00 (~(s(s(elem!1)) = s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[10916, 31046])).
% 4.74/5.00 tff(31048,plain,
% 4.74/5.00 (b(s(s(elem!1)), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[22190, 31047, 31044])).
% 4.74/5.00 tff(31049,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[11079, 31048, 31040, 475, 474, 10215])).
% 4.74/5.00 tff(31050,plain,((~r(z, s(s(elem!1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (s(s(s(s(z)))) = s(s(elem!1))) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(31051,plain,
% 4.74/5.00 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[31050, 162, 474, 108, 871, 487, 164, 175, 555, 457, 458, 426, 475, 1731])).
% 4.74/5.00 tff(31052,plain,
% 4.74/5.00 (~(s(s(s(z))) = s(elem!1))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[10692, 26672])).
% 4.74/5.00 tff(31053,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[4794, 31052, 31051])).
% 4.74/5.00 tff(31054,plain,(b(z, s(s(elem!1))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(s(z)), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.00 tff(31055,plain,
% 4.74/5.00 (s(s(s(z))) = s(s(elem!1))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[31054, 140, 108, 474, 487, 150, 31022, 30998, 31024, 31026, 136, 475, 4550])).
% 4.74/5.00 tff(31056,plain,
% 4.74/5.00 (~r(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[414, 164, 27])).
% 4.74/5.00 tff(31057,plain,
% 4.74/5.00 (b(s(z), s(s(s(z))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[424, 31056])).
% 4.74/5.00 tff(31058,plain,
% 4.74/5.00 (s(s(s(z))) = s(s(elem!1))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[31054, 140, 108, 474, 487, 164, 31022, 30998, 31057, 31026, 136, 475, 4550])).
% 4.74/5.00 tff(31059,plain,
% 4.74/5.00 (s(z) = elem!1),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1237, 31058])).
% 4.74/5.00 tff(31060,plain,
% 4.74/5.00 (s(s(z)) = s(elem!1)),
% 4.74/5.00 inference(monotonicity,[status(thm)],[31059])).
% 4.74/5.00 tff(31061,plain,
% 4.74/5.00 (s(s(s(z))) = s(s(elem!1))),
% 4.74/5.00 inference(monotonicity,[status(thm)],[31060])).
% 4.74/5.00 tff(31062,plain,
% 4.74/5.00 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.74/5.00 inference(monotonicity,[status(thm)],[31061])).
% 4.74/5.00 tff(31063,plain,
% 4.74/5.00 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/5.00 inference(monotonicity,[status(thm)],[31062])).
% 4.74/5.00 tff(31064,plain,
% 4.74/5.00 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1428, 31058])).
% 4.74/5.00 tff(31065,plain,
% 4.74/5.00 (~(elem!1 = s(s(elem!1)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1418, 31064])).
% 4.74/5.00 tff(31066,plain,
% 4.74/5.00 (~b(s(s(elem!1)), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[881, 31058, 129])).
% 4.74/5.00 tff(31067,plain,
% 4.74/5.00 (r(s(s(elem!1)), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[800, 31066])).
% 4.74/5.00 tff(31068,plain,
% 4.74/5.00 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2099, 31067, 27, 136, 108, 140, 31065, 31057])).
% 4.74/5.00 tff(31069,plain,
% 4.74/5.00 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.74/5.00 inference(modus_ponens,[status(thm)],[31068, 31063])).
% 4.74/5.00 tff(31070,plain,
% 4.74/5.00 (~(s(s(elem!1)) = elem!1)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[196, 31065])).
% 4.74/5.00 tff(31071,plain,
% 4.74/5.00 (r(z, elem!1)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1733, 31059, 4550])).
% 4.74/5.00 tff(31072,plain,
% 4.74/5.00 (~r(s(s(elem!1)), elem!1)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2552, 31071, 31067])).
% 4.74/5.00 tff(31073,plain,
% 4.74/5.00 (b(s(s(elem!1)), elem!1)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[327, 31072, 31070])).
% 4.74/5.00 tff(31074,plain,
% 4.74/5.00 (r(elem!1, z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[867, 31059, 27])).
% 4.74/5.00 tff(31075,plain,
% 4.74/5.00 (~b(z, elem!1)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2343, 31059, 398])).
% 4.74/5.00 tff(31076,plain,
% 4.74/5.00 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1412, 31059])).
% 4.74/5.00 tff(31077,plain,
% 4.74/5.00 (b(z, s(s(s(elem!1))))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2141, 31076, 30998])).
% 4.74/5.00 tff(31078,plain,
% 4.74/5.00 (~(s(s(s(elem!1))) = elem!1)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2149, 31077, 31075])).
% 4.74/5.00 tff(31079,plain,
% 4.74/5.00 (~r(s(s(s(elem!1))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2177, 31078, 162, 31071, 31074, 31073, 762])).
% 4.74/5.00 tff(31080,plain,
% 4.74/5.00 (b(s(s(s(elem!1))), z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1387, 31079])).
% 4.74/5.00 tff(31081,plain,
% 4.74/5.00 (~r(s(z), s(s(elem!1)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[4588, 162, 4550])).
% 4.74/5.00 tff(31082,plain,
% 4.74/5.00 (b(s(z), s(s(elem!1)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[743, 31081])).
% 4.74/5.00 tff(31083,plain,
% 4.74/5.00 (b(s(z), z) <=> b(elem!1, z)),
% 4.74/5.00 inference(monotonicity,[status(thm)],[31059])).
% 4.74/5.00 tff(31084,plain,
% 4.74/5.00 ((~b(s(z), z)) <=> (~b(elem!1, z))),
% 4.74/5.00 inference(monotonicity,[status(thm)],[31083])).
% 4.74/5.00 tff(31085,plain,
% 4.74/5.00 (~b(elem!1, z)),
% 4.74/5.00 inference(modus_ponens,[status(thm)],[1, 31084])).
% 4.74/5.00 tff(31086,plain,
% 4.74/5.00 (r(s(s(elem!1)), s(s(z))) <=> r(s(s(elem!1)), s(elem!1))),
% 4.74/5.00 inference(monotonicity,[status(thm)],[31060])).
% 4.74/5.00 tff(31087,plain,
% 4.74/5.00 (~r(z, z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[28795, 82, 164])).
% 4.74/5.00 tff(31088,plain,
% 4.74/5.00 (~(elem!1 = z)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[10543, 31071, 31087])).
% 4.74/5.00 tff(31089,plain,
% 4.74/5.00 (~(z = elem!1)),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[2752, 31088])).
% 4.74/5.00 tff(31090,plain,
% 4.74/5.00 (~(s(elem!1) = s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[1912, 31089])).
% 4.74/5.00 tff(31091,plain,
% 4.74/5.00 (~(s(s(elem!1)) = s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[10916, 31090])).
% 4.74/5.00 tff(31092,plain,
% 4.74/5.00 (~r(s(s(elem!1)), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[792, 31067, 27])).
% 4.74/5.00 tff(31093,plain,
% 4.74/5.00 (b(s(s(elem!1)), s(z))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[784, 31092])).
% 4.74/5.00 tff(31094,plain,
% 4.74/5.00 (~b(s(s(elem!1)), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[11079, 31093, 475, 474, 31082])).
% 4.74/5.00 tff(31095,plain,
% 4.74/5.00 (r(s(s(elem!1)), s(s(z)))),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[22190, 31094, 31091])).
% 4.74/5.00 tff(31096,plain,
% 4.74/5.00 (r(s(s(elem!1)), s(elem!1))),
% 4.74/5.00 inference(modus_ponens,[status(thm)],[31095, 31086])).
% 4.74/5.00 tff(31097,plain,
% 4.74/5.00 ($false),
% 4.74/5.00 inference(unit_resolution,[status(thm)],[11694, 31096, 31085, 72, 27, 162, 31059, 31071, 31082, 31075, 31065, 31080, 31069])).
% 4.74/5.01 tff(31098,plain,(b(z, s(s(elem!1))) | (~r(s(z), s(s(s(s(z)))))) | b(s(z), z) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | b(z, s(z)) | b(s(s(s(z))), z) | (~r(s(s(z)), s(s(s(z))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31099,plain,
% 4.74/5.01 (~b(elem!1, s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31098, 140, 1, 475, 474, 72, 108, 398, 129, 487, 150])).
% 4.74/5.01 tff(31100,plain,
% 4.74/5.01 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[1428, 875])).
% 4.74/5.01 tff(31101,plain,
% 4.74/5.01 (~(elem!1 = s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[1418, 31100])).
% 4.74/5.01 tff(31102,plain,
% 4.74/5.01 (r(elem!1, s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[321, 31101, 9176])).
% 4.74/5.01 tff(31103,plain,
% 4.74/5.01 (~b(z, s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[16899, 19517, 138])).
% 4.74/5.01 tff(31104,plain,
% 4.74/5.01 (r(z, s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[161, 31103])).
% 4.74/5.01 tff(31105,plain,
% 4.74/5.01 ($false),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[287, 31104, 20788, 31102])).
% 4.74/5.01 tff(31106,plain,((~(s(s(s(z))) = s(s(elem!1)))) | b(elem!1, s(s(elem!1))) | (~r(z, s(z))) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31107,plain,
% 4.74/5.01 ($false),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31106, 31099, 31055, 4550, 138])).
% 4.74/5.01 tff(31108,plain,(b(z, s(s(elem!1))) | b(z, s(s(s(z)))) | b(s(z), z) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | b(z, s(z)) | b(s(s(s(z))), z) | (~r(s(s(z)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31109,plain,
% 4.74/5.01 (b(z, s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31108, 31033, 1, 138, 17571, 72, 31028, 31031, 129, 31030])).
% 4.74/5.01 tff(31110,plain,
% 4.74/5.01 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[16893, 31109, 138])).
% 4.74/5.01 tff(31111,plain,
% 4.74/5.01 (~r(s(s(z)), z)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[29071, 31030, 136])).
% 4.74/5.01 tff(31112,plain,
% 4.74/5.01 (b(s(s(z)), z)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[956, 31111])).
% 4.74/5.01 tff(31113,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31114,plain,
% 4.74/5.01 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31115,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.74/5.01 inference(monotonicity,[status(thm)],[31114])).
% 4.74/5.01 tff(31116,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/5.01 inference(transitivity,[status(thm)],[31115, 31113])).
% 4.74/5.01 tff(31117,plain,
% 4.74/5.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.74/5.01 inference(quant_inst,[status(thm)],[])).
% 4.74/5.01 tff(31118,plain,
% 4.74/5.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.74/5.01 inference(modus_ponens,[status(thm)],[31117, 31116])).
% 4.74/5.01 tff(31119,plain,
% 4.74/5.01 ((~b(z, s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31118, 338, 31112, 31022, 30998, 30991])).
% 4.74/5.01 tff(31120,plain,
% 4.74/5.01 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31119, 31109])).
% 4.74/5.01 tff(31121,plain,
% 4.74/5.01 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(z)), s(s(s(s(z)))))),
% 4.74/5.01 inference(monotonicity,[status(thm)],[3117])).
% 4.74/5.01 tff(31122,plain,
% 4.74/5.01 (b(s(s(z)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/5.01 inference(symmetry,[status(thm)],[31121])).
% 4.74/5.01 tff(31123,plain,
% 4.74/5.01 ((~b(s(s(z)), s(s(s(s(z)))))) <=> (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.74/5.01 inference(monotonicity,[status(thm)],[31122])).
% 4.74/5.01 tff(31124,assumption,(~b(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
% 4.74/5.01 tff(31125,plain,
% 4.74/5.01 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.74/5.01 inference(modus_ponens,[status(thm)],[31124, 31123])).
% 4.74/5.01 tff(31126,plain,
% 4.74/5.01 ($false),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[30991, 31125])).
% 4.74/5.01 tff(31127,plain,((~(s(s(s(elem!1))) = s(s(s(z))))) | b(s(s(z)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31128,plain,
% 4.74/5.01 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31127, 31120])).
% 4.74/5.01 tff(31129,plain,
% 4.74/5.01 ($false),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[3301, 5753])).
% 4.74/5.01 tff(31130,plain,((~(z = elem!1)) | (s(s(s(elem!1))) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31131,plain,
% 4.74/5.01 (~(z = elem!1)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31130, 31128])).
% 4.74/5.01 tff(31132,plain,
% 4.74/5.01 (~(s(elem!1) = s(z))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[1912, 31131])).
% 4.74/5.01 tff(31133,plain,
% 4.74/5.01 (~(s(s(elem!1)) = s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[10916, 31132])).
% 4.74/5.01 tff(31134,plain,
% 4.74/5.01 (~r(z, s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[558, 31030, 150])).
% 4.74/5.01 tff(31135,plain,
% 4.74/5.01 (b(z, s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[563, 31134])).
% 4.74/5.01 tff(31136,plain,
% 4.74/5.01 (~(s(z) = elem!1)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[16899, 31109, 138])).
% 4.74/5.01 tff(31137,plain,
% 4.74/5.01 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[1237, 31136])).
% 4.74/5.01 tff(31138,plain,
% 4.74/5.01 (~r(s(z), s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[17354, 787, 405])).
% 4.74/5.01 tff(31139,plain,
% 4.74/5.01 (~b(s(z), s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[1230, 787, 426, 871, 28490, 457])).
% 4.74/5.01 tff(31140,plain,
% 4.74/5.01 ($false),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[743, 31139, 31138])).
% 4.74/5.01 tff(31141,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31142,plain,
% 4.74/5.01 (~r(s(s(elem!1)), z)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31141, 31137, 136, 31024, 27])).
% 4.74/5.01 tff(31143,plain,
% 4.74/5.01 (b(s(s(elem!1)), z)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[800, 31142])).
% 4.74/5.01 tff(31144,plain,
% 4.74/5.01 (~b(s(s(elem!1)), s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[22104, 31143, 31112, 31135, 31109])).
% 4.74/5.01 tff(31145,plain,
% 4.74/5.01 (r(s(s(elem!1)), s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[22190, 31144, 31133])).
% 4.74/5.01 tff(31146,plain,
% 4.74/5.01 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[17012, 31145, 31030])).
% 4.74/5.01 tff(31147,plain,
% 4.74/5.01 (b(s(s(elem!1)), s(s(s(z))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[6881, 31146, 31110])).
% 4.74/5.01 tff(31148,plain,
% 4.74/5.01 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[27077, 31030, 72, 31022, 30998, 150, 31026, 31024, 27])).
% 4.74/5.01 tff(31149,plain,
% 4.74/5.01 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[689, 31148])).
% 4.74/5.01 tff(31150,plain,
% 4.74/5.01 (r(z, s(z))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[403, 31031])).
% 4.74/5.01 tff(31151,plain,
% 4.74/5.01 (s(s(elem!1)) = s(s(s(s(z))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[10692, 3983])).
% 4.74/5.01 tff(31152,plain,
% 4.74/5.01 (~(s(s(elem!1)) = s(elem!1))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[5466, 3983])).
% 4.74/5.01 tff(31153,plain,
% 4.74/5.01 (~(elem!1 = s(elem!1))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[231, 31152])).
% 4.74/5.01 tff(31154,plain,
% 4.74/5.01 (b(z, elem!1)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[16927, 31153, 405, 150, 1731, 28490, 31151])).
% 4.74/5.01 tff(31155,plain,
% 4.74/5.01 (~(elem!1 = s(s(s(z))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[1046, 31154, 138])).
% 4.74/5.01 tff(31156,plain,
% 4.74/5.01 ($false),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[18201, 31155, 31154, 405, 426, 150, 691, 31151, 1731, 8722, 6879, 175, 10462])).
% 4.74/5.01 tff(31157,plain,((~(s(s(s(z))) = s(elem!1))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (s(z) = elem!1) | (~r(z, s(z))) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(s(s(s(z)))), z)) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31158,plain,
% 4.74/5.01 (~(s(s(s(z))) = s(elem!1))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31157, 31136, 136, 27, 31150, 31109, 31110, 31022, 138])).
% 4.74/5.01 tff(31159,plain,
% 4.74/5.01 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[4794, 31158])).
% 4.74/5.01 tff(31160,plain,
% 4.74/5.01 (~r(s(z), s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[18230, 31159, 27, 30998, 31022, 31109, 31028])).
% 4.74/5.01 tff(31161,plain,
% 4.74/5.01 (b(s(z), s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[743, 31160])).
% 4.74/5.01 tff(31162,plain,
% 4.74/5.01 (~(elem!1 = z)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[716, 31131])).
% 4.74/5.01 tff(31163,plain,
% 4.74/5.01 (s(s(s(z))) = s(elem!1)),
% 4.74/5.01 inference(symmetry,[status(thm)],[2330])).
% 4.74/5.01 tff(31164,plain,
% 4.74/5.01 ($false),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[3993, 31163])).
% 4.74/5.01 tff(31165,plain,((~(elem!1 = s(s(z)))) | (s(s(s(z))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31166,plain,
% 4.74/5.01 (~(elem!1 = s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31165, 31158])).
% 4.74/5.01 tff(31167,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31168,plain,
% 4.74/5.01 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31169,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.74/5.01 inference(monotonicity,[status(thm)],[31168])).
% 4.74/5.01 tff(31170,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.74/5.01 inference(transitivity,[status(thm)],[31169, 31167])).
% 4.74/5.01 tff(31171,plain,
% 4.74/5.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.74/5.01 inference(quant_inst,[status(thm)],[])).
% 4.74/5.01 tff(31172,plain,
% 4.74/5.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.74/5.01 inference(modus_ponens,[status(thm)],[31171, 31170])).
% 4.74/5.01 tff(31173,plain,
% 4.74/5.01 ($false),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31172, 338, 458, 21128, 987, 474, 3485, 3253])).
% 4.74/5.01 tff(31174,plain,((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.01 tff(31175,plain,
% 4.74/5.01 ((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31174, 30991])).
% 4.74/5.01 tff(31176,plain,
% 4.74/5.01 (~b(s(s(s(z))), s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31175, 31147, 31020, 17571, 31026])).
% 4.74/5.01 tff(31177,plain,
% 4.74/5.01 (r(s(s(s(z))), s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[639, 31176])).
% 4.74/5.01 tff(31178,plain,
% 4.74/5.01 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[6876, 31147, 31024, 31026, 31161])).
% 4.74/5.01 tff(31179,plain,
% 4.74/5.01 (b(z, s(s(s(s(z)))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[391, 385])).
% 4.74/5.01 tff(31180,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31181,plain,
% 4.74/5.01 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(z))))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31182,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(z))))))),
% 4.74/5.01 inference(monotonicity,[status(thm)],[31181])).
% 4.74/5.01 tff(31183,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(z)))))),
% 4.74/5.01 inference(transitivity,[status(thm)],[31182, 31180])).
% 4.74/5.01 tff(31184,plain,
% 4.74/5.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(z)))))),
% 4.74/5.01 inference(quant_inst,[status(thm)],[])).
% 4.74/5.01 tff(31185,plain,
% 4.74/5.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(z))))),
% 4.74/5.01 inference(modus_ponens,[status(thm)],[31184, 31183])).
% 4.74/5.01 tff(31186,plain,
% 4.74/5.01 (~b(elem!1, s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31185, 338, 1131, 8722, 2431, 31179, 30991])).
% 4.74/5.01 tff(31187,plain,
% 4.74/5.01 (r(elem!1, s(s(z)))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[2442, 31186, 2346])).
% 4.74/5.01 tff(31188,plain,
% 4.74/5.01 (~r(s(s(elem!1)), elem!1)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[18263, 31187, 17007])).
% 4.74/5.01 tff(31189,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31190,plain,
% 4.74/5.01 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z))))))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31191,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.74/5.01 inference(monotonicity,[status(thm)],[31190])).
% 4.74/5.01 tff(31192,plain,
% 4.74/5.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.74/5.01 inference(transitivity,[status(thm)],[31191, 31189])).
% 4.74/5.01 tff(31193,plain,
% 4.74/5.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(elem!1, z)) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.74/5.01 inference(quant_inst,[status(thm)],[])).
% 4.74/5.01 tff(31194,plain,
% 4.74/5.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.74/5.01 inference(modus_ponens,[status(thm)],[31193, 31192])).
% 4.74/5.01 tff(31195,plain,
% 4.74/5.01 (~b(elem!1, s(s(s(s(z)))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31194, 338, 1131, 8722, 175, 31179, 30991])).
% 4.74/5.01 tff(31196,plain,
% 4.74/5.01 (~(elem!1 = s(s(s(z))))),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[14110, 31195, 539])).
% 4.74/5.01 tff(31197,plain,
% 4.74/5.01 (~(s(s(s(z))) = elem!1)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[1056, 31196])).
% 4.74/5.01 tff(31198,plain,
% 4.74/5.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(z)))) | (~r(elem!1, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31199,plain,
% 4.74/5.01 (((~r(elem!1, s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), elem!1))) <=> ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 4.74/5.01 inference(rewrite,[status(thm)],[])).
% 4.74/5.01 tff(31200,plain,
% 4.74/5.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(z)))) | (~r(elem!1, s(s(z))))))),
% 4.74/5.01 inference(monotonicity,[status(thm)],[31199])).
% 4.74/5.01 tff(31201,plain,
% 4.74/5.01 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(z)))) | (~r(elem!1, s(s(z)))))),
% 4.74/5.01 inference(transitivity,[status(thm)],[31200, 31198])).
% 4.74/5.01 tff(31202,plain,
% 4.74/5.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), elem!1)))),
% 4.74/5.01 inference(quant_inst,[status(thm)],[])).
% 4.74/5.01 tff(31203,plain,
% 4.74/5.01 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(z)))) | (~r(elem!1, s(s(z))))),
% 4.74/5.01 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 4.74/5.01 tff(31204,plain,
% 4.74/5.01 (~r(s(s(s(z))), elem!1)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[31203, 82, 31187, 2464])).
% 4.74/5.01 tff(31205,plain,
% 4.74/5.01 (b(s(s(s(z))), elem!1)),
% 4.74/5.01 inference(unit_resolution,[status(thm)],[1110, 31204, 31197])).
% 4.74/5.01 tff(31206,plain,
% 4.74/5.01 (~(elem!1 = s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[3471, 31205, 3468])).
% 4.74/5.02 tff(31207,plain,
% 4.74/5.02 (~(s(s(elem!1)) = elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[196, 31206])).
% 4.74/5.02 tff(31208,plain,
% 4.74/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.74/5.02 inference(rewrite,[status(thm)],[])).
% 4.74/5.02 tff(31209,plain,
% 4.74/5.02 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.74/5.02 inference(rewrite,[status(thm)],[])).
% 4.74/5.02 tff(31210,plain,
% 4.74/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 4.74/5.02 inference(monotonicity,[status(thm)],[31209])).
% 4.74/5.02 tff(31211,plain,
% 4.74/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.74/5.02 inference(transitivity,[status(thm)],[31210, 31208])).
% 4.74/5.02 tff(31212,plain,
% 4.74/5.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.74/5.02 inference(quant_inst,[status(thm)],[])).
% 4.74/5.02 tff(31213,plain,
% 4.74/5.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 4.74/5.02 inference(modus_ponens,[status(thm)],[31212, 31211])).
% 4.74/5.02 tff(31214,plain,
% 4.74/5.02 (~b(s(s(s(s(z)))), elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31213, 338, 1131, 8722, 175, 31179, 30991])).
% 4.74/5.02 tff(31215,plain,
% 4.74/5.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), elem!1)))),
% 4.74/5.02 inference(rewrite,[status(thm)],[])).
% 4.74/5.02 tff(31216,plain,
% 4.74/5.02 (((~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), elem!1))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), elem!1)))),
% 4.74/5.02 inference(rewrite,[status(thm)],[])).
% 4.74/5.02 tff(31217,plain,
% 4.74/5.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), elem!1))))),
% 4.74/5.02 inference(monotonicity,[status(thm)],[31216])).
% 4.74/5.02 tff(31218,plain,
% 4.74/5.02 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), elem!1)))),
% 4.74/5.02 inference(transitivity,[status(thm)],[31217, 31215])).
% 4.74/5.02 tff(31219,plain,
% 4.74/5.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), elem!1)))),
% 4.74/5.02 inference(quant_inst,[status(thm)],[])).
% 4.74/5.02 tff(31220,plain,
% 4.74/5.02 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(elem!1, s(s(z)))) | (~r(s(s(s(s(z)))), elem!1))),
% 4.74/5.02 inference(modus_ponens,[status(thm)],[31219, 31218])).
% 4.74/5.02 tff(31221,plain,
% 4.74/5.02 (~r(s(s(s(s(z)))), elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31220, 82, 31187, 71])).
% 4.74/5.02 tff(31222,plain,
% 4.74/5.02 (s(s(s(s(z)))) = elem!1),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[1144, 31221, 31214])).
% 4.74/5.02 tff(31223,plain,
% 4.74/5.02 (~r(z, elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[12155, 31222, 385])).
% 4.74/5.02 tff(31224,plain,
% 4.74/5.02 (b(z, elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[353, 31223, 714])).
% 4.74/5.02 tff(31225,plain,
% 4.74/5.02 (~b(s(s(elem!1)), elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[18067, 31224, 8722, 878, 1131])).
% 4.74/5.02 tff(31226,plain,
% 4.74/5.02 ($false),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[327, 31225, 31207, 31188])).
% 4.74/5.02 tff(31227,plain,((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (z = elem!1) | b(s(s(s(z))), s(s(elem!1))) | r(z, s(s(s(s(z))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (elem!1 = s(s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.02 tff(31228,plain,
% 4.74/5.02 (~b(elem!1, z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31227, 31178, 31109, 31131, 31143, 30997, 31177, 71, 31145, 31149, 31166, 31022, 31112])).
% 4.74/5.02 tff(31229,plain,
% 4.74/5.02 (r(elem!1, z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[846, 31228, 31162])).
% 4.74/5.02 tff(31230,plain,
% 4.74/5.02 (~r(s(z), elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[828, 31229, 27])).
% 4.74/5.02 tff(31231,plain,
% 4.74/5.02 (b(s(z), elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[701, 31230, 31136])).
% 4.74/5.02 tff(31232,plain,
% 4.74/5.02 (~r(s(z), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[414, 150, 405])).
% 4.74/5.02 tff(31233,plain,
% 4.74/5.02 (b(s(z), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[424, 31232])).
% 4.74/5.02 tff(31234,plain,
% 4.74/5.02 (~r(s(s(s(z))), s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[432, 136, 405])).
% 4.74/5.02 tff(31235,plain,
% 4.74/5.02 (b(s(s(s(z))), s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[437, 31234])).
% 4.74/5.02 tff(31236,plain,
% 4.74/5.02 (~b(z, s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[536, 108, 71, 150, 31233, 31235])).
% 4.74/5.02 tff(31237,plain,
% 4.74/5.02 (r(z, s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[403, 31236])).
% 4.74/5.02 tff(31238,plain,
% 4.74/5.02 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31106, 9176, 31237, 138])).
% 4.74/5.02 tff(31239,plain,
% 4.74/5.02 (~r(s(s(elem!1)), z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31141, 31238, 136, 31233, 405])).
% 4.74/5.02 tff(31240,plain,
% 4.74/5.02 (b(s(s(elem!1)), z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[800, 31239])).
% 4.74/5.02 tff(31241,plain,
% 4.74/5.02 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[1207, 31238])).
% 4.74/5.02 tff(31242,plain,
% 4.74/5.02 (~b(s(s(z)), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[18385, 108, 71, 31233, 31235])).
% 4.74/5.02 tff(31243,plain,
% 4.74/5.02 (r(s(s(z)), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[534, 31242])).
% 4.74/5.02 tff(31244,plain,
% 4.74/5.02 (b(z, s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31054, 31238, 108, 474, 31243, 150, 175, 31179, 31233, 31235, 136, 17690, 31237])).
% 4.74/5.02 tff(31245,plain,
% 4.74/5.02 (~(s(z) = elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[873, 31238])).
% 4.74/5.02 tff(31246,plain,
% 4.74/5.02 (~(s(s(s(z))) = s(elem!1))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31157, 31245, 136, 405, 31237, 31244, 31241, 175, 138])).
% 4.74/5.02 tff(31247,plain,
% 4.74/5.02 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[4794, 31246])).
% 4.74/5.02 tff(31248,plain,
% 4.74/5.02 (~(elem!1 = s(s(z)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31165, 31246])).
% 4.74/5.02 tff(31249,plain,
% 4.74/5.02 (~b(z, s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[536, 108, 71, 164, 12512, 31235])).
% 4.74/5.02 tff(31250,plain,
% 4.74/5.02 (r(z, s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[403, 31249])).
% 4.74/5.02 tff(31251,plain,
% 4.74/5.02 (~b(s(s(z)), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[18385, 108, 71, 12512, 31235])).
% 4.74/5.02 tff(31252,plain,
% 4.74/5.02 (r(s(s(z)), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[534, 31251])).
% 4.74/5.02 tff(31253,plain,
% 4.74/5.02 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[881, 878, 129])).
% 4.74/5.02 tff(31254,plain,
% 4.74/5.02 (~r(z, s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31050, 31253, 474, 108, 4798, 31252, 164, 175, 31179, 12512, 31235, 136, 17690, 31250])).
% 4.74/5.02 tff(31255,plain,
% 4.74/5.02 (b(z, s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[161, 31254])).
% 4.74/5.02 tff(31256,plain,
% 4.74/5.02 (~(elem!1 = z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[9178, 31255, 9176])).
% 4.74/5.02 tff(31257,plain,
% 4.74/5.02 (~r(s(s(z)), z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[29071, 31252, 136])).
% 4.74/5.02 tff(31258,plain,
% 4.74/5.02 (b(s(s(z)), z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[956, 31257])).
% 4.74/5.02 tff(31259,plain,
% 4.74/5.02 (~r(z, s(s(z)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[558, 31252, 164])).
% 4.74/5.02 tff(31260,plain,
% 4.74/5.02 (b(z, s(s(z)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[563, 31259])).
% 4.74/5.02 tff(31261,plain,
% 4.74/5.02 (~b(s(s(elem!1)), s(s(z)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[22104, 31255, 31258, 31260, 878])).
% 4.74/5.02 tff(31262,plain,
% 4.74/5.02 (~(z = elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[2752, 31256])).
% 4.74/5.02 tff(31263,plain,
% 4.74/5.02 (~(s(elem!1) = s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[1912, 31262])).
% 4.74/5.02 tff(31264,plain,
% 4.74/5.02 (~(s(s(elem!1)) = s(s(z)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[10916, 31263])).
% 4.74/5.02 tff(31265,plain,
% 4.74/5.02 (r(s(s(elem!1)), s(s(z)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[22190, 31264, 31261])).
% 4.74/5.02 tff(31266,plain,
% 4.74/5.02 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31036, 878, 175, 31179])).
% 4.74/5.02 tff(31267,plain,
% 4.74/5.02 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[10478, 31266, 4798])).
% 4.74/5.02 tff(31268,plain,
% 4.74/5.02 (~r(s(z), s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[15263, 31267, 108])).
% 4.74/5.02 tff(31269,plain,
% 4.74/5.02 (b(s(z), s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[743, 31268])).
% 4.74/5.02 tff(31270,plain,
% 4.74/5.02 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[1207, 31253])).
% 4.74/5.02 tff(31271,plain,
% 4.74/5.02 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[17012, 31265, 31252])).
% 4.74/5.02 tff(31272,plain,
% 4.74/5.02 (b(s(s(elem!1)), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[6881, 31271, 31270])).
% 4.74/5.02 tff(31273,plain,
% 4.74/5.02 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[6876, 31272, 12512, 31235, 31269])).
% 4.74/5.02 tff(31274,plain,
% 4.74/5.02 (~b(elem!1, z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31227, 31255, 878, 31262, 31273, 385, 2464, 71, 31265, 539, 2346, 175, 31258])).
% 4.74/5.02 tff(31275,plain,
% 4.74/5.02 (r(elem!1, z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[846, 31274, 31256])).
% 4.74/5.02 tff(31276,plain,
% 4.74/5.02 (~(s(z) = elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[873, 31253])).
% 4.74/5.02 tff(31277,plain,
% 4.74/5.02 (~(elem!1 = s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[696, 31276])).
% 4.74/5.02 tff(31278,plain,
% 4.74/5.02 (~r(s(z), elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[828, 31275, 405])).
% 4.74/5.02 tff(31279,plain,
% 4.74/5.02 (b(s(z), elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[701, 31278, 31276])).
% 4.74/5.02 tff(31280,plain,
% 4.74/5.02 (s(s(s(z))) = elem!1),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[18321, 31279, 405, 12512, 136, 31277, 31275])).
% 4.74/5.02 tff(31281,plain,
% 4.74/5.02 (elem!1 = s(s(s(z)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[1056, 31280])).
% 4.74/5.02 tff(31282,plain,
% 4.74/5.02 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(z))))),
% 4.74/5.02 inference(monotonicity,[status(thm)],[31281])).
% 4.74/5.02 tff(31283,plain,
% 4.74/5.02 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(elem!1)), elem!1)),
% 4.74/5.02 inference(symmetry,[status(thm)],[31282])).
% 4.74/5.02 tff(31284,plain,
% 4.74/5.02 (b(s(s(elem!1)), elem!1)),
% 4.74/5.02 inference(modus_ponens,[status(thm)],[31272, 31283])).
% 4.74/5.02 tff(31285,plain,
% 4.74/5.02 (~r(s(s(elem!1)), s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[10675, 31267, 108])).
% 4.74/5.02 tff(31286,plain,
% 4.74/5.02 (b(s(s(elem!1)), s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[784, 31285])).
% 4.74/5.02 tff(31287,plain,
% 4.74/5.02 (~r(elem!1, s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[811, 31275, 405])).
% 4.74/5.02 tff(31288,plain,
% 4.74/5.02 (b(elem!1, s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[819, 31287, 31277])).
% 4.74/5.02 tff(31289,plain,
% 4.74/5.02 (~b(s(s(elem!1)), elem!1)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[16974, 31288, 31279, 31286, 31269])).
% 4.74/5.02 tff(31290,plain,
% 4.74/5.02 ($false),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31289, 31284])).
% 4.74/5.02 tff(31291,plain,((~b(s(s(elem!1)), z)) | (~r(s(z), z)) | r(z, s(s(s(s(z))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (elem!1 = s(s(z))) | (~b(s(s(s(s(z)))), z)) | b(elem!1, s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (s(s(s(s(z)))) = s(s(elem!1))) | (~r(z, s(s(s(z))))) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 4.74/5.02 tff(31292,plain,
% 4.74/5.02 ($false),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31291, 31248, 31247, 385, 2464, 71, 539, 405, 175, 9176, 108, 474, 31240, 150, 129])).
% 4.74/5.02 tff(31293,plain,(b(elem!1, s(s(elem!1))) | r(z, s(s(s(s(z))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | b(s(s(s(z))), z) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.02 tff(31294,plain,
% 4.74/5.02 (b(elem!1, s(s(elem!1)))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31293, 31177, 30997, 71, 31149, 27, 31022, 31028, 17571, 129, 138])).
% 4.74/5.02 tff(31295,plain,
% 4.74/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.74/5.02 inference(rewrite,[status(thm)],[])).
% 4.74/5.02 tff(31296,plain,
% 4.74/5.02 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.74/5.02 inference(rewrite,[status(thm)],[])).
% 4.74/5.02 tff(31297,plain,
% 4.74/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.74/5.02 inference(monotonicity,[status(thm)],[31296])).
% 4.74/5.02 tff(31298,plain,
% 4.74/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.74/5.02 inference(transitivity,[status(thm)],[31297, 31295])).
% 4.74/5.02 tff(31299,plain,
% 4.74/5.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), elem!1)))),
% 4.74/5.02 inference(quant_inst,[status(thm)],[])).
% 4.74/5.02 tff(31300,plain,
% 4.74/5.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.74/5.02 inference(modus_ponens,[status(thm)],[31299, 31298])).
% 4.74/5.02 tff(31301,plain,
% 4.74/5.02 ($false),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31300, 338, 31294, 31231, 31161, 31149, 31147, 30991])).
% 4.74/5.02 tff(31302,plain,(b(s(s(s(z))), z) | (~r(s(s(s(s(z)))), s(s(z)))) | b(z, s(s(s(z)))) | b(s(z), z) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.02 tff(31303,plain,
% 4.74/5.02 (b(s(s(s(z))), z)),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31302, 138, 71, 1, 72])).
% 4.74/5.02 tff(31304,plain,
% 4.74/5.02 ($false),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[26095, 16215, 25198, 72, 31010, 164, 12512, 1741, 405])).
% 4.74/5.02 tff(31305,plain,((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.74/5.02 tff(31306,plain,
% 4.74/5.02 (~r(s(s(s(z))), s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31305, 150, 72, 31303, 27])).
% 4.74/5.02 tff(31307,plain,
% 4.74/5.02 (b(s(s(s(z))), s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[437, 31306])).
% 4.74/5.02 tff(31308,plain,
% 4.74/5.02 (~b(s(s(s(s(z)))), s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[18222, 31307, 31022, 31020, 150, 31024, 30998, 71])).
% 4.74/5.02 tff(31309,plain,
% 4.74/5.02 (r(s(s(s(s(z)))), s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[119, 31308])).
% 4.74/5.02 tff(31310,plain,
% 4.74/5.02 (~b(s(s(z)), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[18385, 31309, 71, 31024, 31307])).
% 4.74/5.02 tff(31311,plain,
% 4.74/5.02 (r(s(s(z)), s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[534, 31310])).
% 4.74/5.02 tff(31312,plain,
% 4.74/5.02 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[27077, 31311, 72, 31022, 30998, 150, 31307, 31024, 27])).
% 4.74/5.02 tff(31313,plain,
% 4.74/5.02 (~b(z, s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[536, 31309, 71, 150, 31024, 31307])).
% 4.74/5.02 tff(31314,plain,
% 4.74/5.02 (r(z, s(z))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[403, 31313])).
% 4.74/5.02 tff(31315,plain,
% 4.74/5.02 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[26828, 31314, 72, 31022, 31303, 31307])).
% 4.74/5.02 tff(31316,plain,
% 4.74/5.02 ($false),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[689, 31315, 31312])).
% 4.74/5.02 tff(31317,plain,(b(z, s(s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | b(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 4.74/5.02 tff(31318,plain,
% 4.74/5.02 (b(z, s(s(s(z))))),
% 4.74/5.02 inference(unit_resolution,[status(thm)],[31317, 1, 71, 72])).
% 4.86/5.02 tff(31319,plain,
% 4.86/5.02 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[21871, 31318, 31022, 30998, 31020])).
% 4.86/5.02 tff(31320,plain,
% 4.86/5.02 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[689, 31319])).
% 4.86/5.02 tff(31321,plain,
% 4.86/5.02 (~r(s(s(s(z))), s(s(z)))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[2472, 31320, 71])).
% 4.86/5.02 tff(31322,plain,
% 4.86/5.02 (b(s(s(s(z))), s(s(z)))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[639, 31321])).
% 4.86/5.02 tff(31323,plain,
% 4.86/5.02 (~r(s(s(s(z))), s(z))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[2959, 31320, 72])).
% 4.86/5.02 tff(31324,plain,
% 4.86/5.02 (b(s(s(s(z))), s(z))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[437, 31323])).
% 4.86/5.02 tff(31325,plain,
% 4.86/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.02 inference(rewrite,[status(thm)],[])).
% 4.86/5.02 tff(31326,plain,
% 4.86/5.02 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.02 inference(rewrite,[status(thm)],[])).
% 4.86/5.02 tff(31327,plain,
% 4.86/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 4.86/5.02 inference(monotonicity,[status(thm)],[31326])).
% 4.86/5.02 tff(31328,plain,
% 4.86/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.02 inference(transitivity,[status(thm)],[31327, 31325])).
% 4.86/5.02 tff(31329,plain,
% 4.86/5.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 4.86/5.02 inference(quant_inst,[status(thm)],[])).
% 4.86/5.02 tff(31330,plain,
% 4.86/5.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 4.86/5.02 inference(modus_ponens,[status(thm)],[31329, 31328])).
% 4.86/5.02 tff(31331,plain,
% 4.86/5.02 ($false),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[31330, 338, 31318, 31324, 31322, 31020, 17571, 30998])).
% 4.86/5.02 tff(31332,plain,(b(s(z), z) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.02 tff(31333,plain,
% 4.86/5.02 (b(s(z), z)),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[31332, 72, 71])).
% 4.86/5.02 tff(31334,plain,
% 4.86/5.02 (~r(z, s(s(s(s(z)))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[28530, 1122, 71, 72, 31333, 486])).
% 4.86/5.02 tff(31335,plain,
% 4.86/5.02 (~b(z, s(s(s(s(z)))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[28746, 1122, 71, 17571, 31333, 486])).
% 4.86/5.02 tff(31336,plain,
% 4.86/5.02 ($false),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[391, 31335, 31334])).
% 4.86/5.02 tff(31337,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.02 tff(31338,plain,
% 4.86/5.02 (~b(z, s(z))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[31337, 1122, 71, 72])).
% 4.86/5.02 tff(31339,plain,
% 4.86/5.02 (r(z, s(z))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[403, 31338])).
% 4.86/5.02 tff(31340,plain,
% 4.86/5.02 (~r(z, s(s(s(s(z)))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[11465, 31339, 72])).
% 4.86/5.02 tff(31341,plain,
% 4.86/5.02 (b(z, s(s(s(s(z)))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[391, 31340])).
% 4.86/5.02 tff(31342,plain,
% 4.86/5.02 (~r(s(s(s(z))), z)),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[19094, 31339, 427])).
% 4.86/5.02 tff(31343,plain,
% 4.86/5.02 (b(s(s(s(z))), z)),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[135, 31342])).
% 4.86/5.02 tff(31344,plain,
% 4.86/5.02 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[5636, 31343, 71, 1122])).
% 4.86/5.02 tff(31345,plain,
% 4.86/5.02 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[1011, 31344])).
% 4.86/5.02 tff(31346,plain,
% 4.86/5.02 (~r(s(s(z)), z)),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[3898, 1122, 71])).
% 4.86/5.02 tff(31347,plain,
% 4.86/5.02 (b(s(s(z)), z)),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[956, 31346])).
% 4.86/5.02 tff(31348,plain,
% 4.86/5.02 (~r(z, s(s(s(z))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[2890, 31339, 427])).
% 4.86/5.02 tff(31349,plain,
% 4.86/5.02 (b(z, s(s(s(z))))),
% 4.86/5.02 inference(unit_resolution,[status(thm)],[149, 31348])).
% 4.86/5.02 tff(31350,plain,
% 4.86/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.02 inference(rewrite,[status(thm)],[])).
% 4.86/5.02 tff(31351,plain,
% 4.86/5.02 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.02 inference(rewrite,[status(thm)],[])).
% 4.86/5.02 tff(31352,plain,
% 4.86/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 4.86/5.02 inference(monotonicity,[status(thm)],[31351])).
% 4.86/5.02 tff(31353,plain,
% 4.86/5.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.03 inference(transitivity,[status(thm)],[31352, 31350])).
% 4.86/5.03 tff(31354,plain,
% 4.86/5.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 4.86/5.03 inference(quant_inst,[status(thm)],[])).
% 4.86/5.03 tff(31355,plain,
% 4.86/5.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31354, 31353])).
% 4.86/5.03 tff(31356,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31355, 338, 31333, 31349, 31347, 31345, 17571, 31341])).
% 4.86/5.03 tff(31357,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(31358,plain,
% 4.86/5.03 (~r(s(s(s(s(z)))), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31357, 427, 71, 72])).
% 4.86/5.03 tff(31359,plain,
% 4.86/5.03 (b(s(s(s(s(z)))), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[127, 31358])).
% 4.86/5.03 tff(31360,plain,
% 4.86/5.03 (~r(z, s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[11465, 371, 72])).
% 4.86/5.03 tff(31361,plain,
% 4.86/5.03 (b(z, s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[403, 31360])).
% 4.86/5.03 tff(31362,plain,
% 4.86/5.03 (~r(z, s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[22491, 371, 71])).
% 4.86/5.03 tff(31363,plain,
% 4.86/5.03 (b(z, s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[563, 31362])).
% 4.86/5.03 tff(31364,plain,
% 4.86/5.03 (~b(s(s(s(s(z)))), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[9213, 338, 486, 601, 1740, 474, 175])).
% 4.86/5.03 tff(31365,plain,
% 4.86/5.03 (r(s(s(s(s(z)))), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[119, 31364])).
% 4.86/5.03 tff(31366,plain,
% 4.86/5.03 (~r(s(s(z)), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[464, 31365, 71])).
% 4.86/5.03 tff(31367,plain,
% 4.86/5.03 (b(s(s(z)), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[472, 31366])).
% 4.86/5.03 tff(31368,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[18750, 338, 486, 601, 1740, 31367, 474])).
% 4.86/5.03 tff(31369,plain,((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(31370,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31369, 31363, 31361, 31333, 17571, 71, 175])).
% 4.86/5.03 tff(31371,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(31372,plain,
% 4.86/5.03 (~r(z, s(s(s(s(z)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31371, 31359, 71, 72])).
% 4.86/5.03 tff(31373,plain,
% 4.86/5.03 (b(z, s(s(s(s(z)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[391, 31372])).
% 4.86/5.03 tff(31374,plain,
% 4.86/5.03 (~r(s(s(s(s(z)))), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31337, 404, 71, 72])).
% 4.86/5.03 tff(31375,plain,
% 4.86/5.03 (b(s(s(s(s(z)))), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[127, 31374])).
% 4.86/5.03 tff(31376,plain,
% 4.86/5.03 (~b(z, s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31369, 404, 31333, 17571, 71, 31375])).
% 4.86/5.03 tff(31377,plain,
% 4.86/5.03 (~b(z, s(s(s(z))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[19314, 31376, 71, 25198, 24132])).
% 4.86/5.03 tff(31378,plain,
% 4.86/5.03 (r(z, s(s(s(z))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[149, 31377])).
% 4.86/5.03 tff(31379,plain,
% 4.86/5.03 (~r(s(s(z)), s(s(s(z))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[18536, 31378, 406, 404])).
% 4.86/5.03 tff(31380,plain,
% 4.86/5.03 (b(s(s(z)), s(s(s(z))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[534, 31379])).
% 4.86/5.03 tff(31381,plain,
% 4.86/5.03 (r(z, s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[563, 31376])).
% 4.86/5.03 tff(31382,plain,
% 4.86/5.03 (~r(z, s(s(s(s(z)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[22491, 31381, 71])).
% 4.86/5.03 tff(31383,plain,
% 4.86/5.03 (b(z, s(s(s(s(z)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[391, 31382])).
% 4.86/5.03 tff(31384,plain,
% 4.86/5.03 (~b(s(s(s(s(z)))), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[18635, 31383, 31333, 404, 31375])).
% 4.86/5.03 tff(31385,plain,
% 4.86/5.03 (r(s(s(s(s(z)))), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[119, 31384])).
% 4.86/5.03 tff(31386,plain,
% 4.86/5.03 (~b(s(s(z)), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[11303, 31385, 71, 31333, 404])).
% 4.86/5.03 tff(31387,plain,
% 4.86/5.03 (r(s(s(z)), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[956, 31386])).
% 4.86/5.03 tff(31388,plain,
% 4.86/5.03 (~b(s(s(s(z))), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[22339, 31375, 406, 427, 72])).
% 4.86/5.03 tff(31389,plain,
% 4.86/5.03 (r(s(s(s(z))), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[135, 31388])).
% 4.86/5.03 tff(31390,plain,
% 4.86/5.03 (~r(s(s(s(z))), s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[960, 82, 31389, 31387])).
% 4.86/5.03 tff(31391,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[639, 31390])).
% 4.86/5.03 tff(31392,plain,
% 4.86/5.03 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[28774, 31391, 24132, 25198, 31380])).
% 4.86/5.03 tff(31393,plain,
% 4.86/5.03 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31127, 31392])).
% 4.86/5.03 tff(31394,plain,
% 4.86/5.03 (~(z = elem!1)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31130, 31393])).
% 4.86/5.03 tff(31395,plain,
% 4.86/5.03 (~(s(elem!1) = s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1912, 31394])).
% 4.86/5.03 tff(31396,plain,
% 4.86/5.03 (~(s(s(elem!1)) = s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[10916, 31395])).
% 4.86/5.03 tff(31397,plain,
% 4.86/5.03 (~r(s(s(elem!1)), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[10675, 10491, 108])).
% 4.86/5.03 tff(31398,plain,
% 4.86/5.03 (b(s(s(elem!1)), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[784, 31397])).
% 4.86/5.03 tff(31399,plain,
% 4.86/5.03 (~r(s(z), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[15263, 10491, 108])).
% 4.86/5.03 tff(31400,plain,
% 4.86/5.03 (b(s(z), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[743, 31399])).
% 4.86/5.03 tff(31401,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[21944, 31400, 31398, 71, 486, 1740, 108, 10936, 474])).
% 4.86/5.03 tff(31402,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (s(s(elem!1)) = s(s(z))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(31403,plain,
% 4.86/5.03 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31402, 404, 71, 31333, 31385, 31396, 17571])).
% 4.86/5.03 tff(31404,plain,
% 4.86/5.03 (~r(s(s(z)), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[464, 31385, 71])).
% 4.86/5.03 tff(31405,plain,
% 4.86/5.03 (b(s(s(z)), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[472, 31404])).
% 4.86/5.03 tff(31406,plain,
% 4.86/5.03 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[4794, 31052])).
% 4.86/5.03 tff(31407,plain,
% 4.86/5.03 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[10478, 31406, 10476])).
% 4.86/5.03 tff(31408,plain,
% 4.86/5.03 ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[11402, 30991])).
% 4.86/5.03 tff(31409,plain,
% 4.86/5.03 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31408, 31407, 987, 539])).
% 4.86/5.03 tff(31410,plain,
% 4.86/5.03 (~b(s(s(elem!1)), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31036, 31407, 175, 555])).
% 4.86/5.03 tff(31411,plain,
% 4.86/5.03 (r(s(s(elem!1)), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[800, 31410])).
% 4.86/5.03 tff(31412,plain,
% 4.86/5.03 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1202, 82, 31411, 426])).
% 4.86/5.03 tff(31413,plain,
% 4.86/5.03 (s(s(elem!1)) = s(s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6881, 31412, 31409])).
% 4.86/5.03 tff(31414,plain,
% 4.86/5.03 (s(s(s(z))) = s(s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1207, 31413])).
% 4.86/5.03 tff(31415,plain,
% 4.86/5.03 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1428, 31414])).
% 4.86/5.03 tff(31416,plain,
% 4.86/5.03 (~(s(s(elem!1)) = s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[224, 31415])).
% 4.86/5.03 tff(31417,plain,
% 4.86/5.03 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1280, 31416])).
% 4.86/5.03 tff(31418,plain,
% 4.86/5.03 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1329, 31417])).
% 4.86/5.03 tff(31419,plain,
% 4.86/5.03 (s(z) = elem!1),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1237, 31414])).
% 4.86/5.03 tff(31420,plain,
% 4.86/5.03 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31413])).
% 4.86/5.03 tff(31421,plain,
% 4.86/5.03 (r(s(s(s(elem!1))), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31420])).
% 4.86/5.03 tff(31422,plain,
% 4.86/5.03 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 4.86/5.03 inference(symmetry,[status(thm)],[31421])).
% 4.86/5.03 tff(31423,plain,
% 4.86/5.03 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31419])).
% 4.86/5.03 tff(31424,plain,
% 4.86/5.03 (~b(s(s(s(s(z)))), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[18635, 555, 1740, 404, 175])).
% 4.86/5.03 tff(31425,plain,
% 4.86/5.03 (r(s(s(s(s(z)))), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[119, 31424])).
% 4.86/5.03 tff(31426,plain,
% 4.86/5.03 (r(s(s(s(s(z)))), elem!1)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31425, 31423])).
% 4.86/5.03 tff(31427,plain,
% 4.86/5.03 (r(s(s(s(elem!1))), elem!1)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31426, 31422])).
% 4.86/5.03 tff(31428,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(z)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[639, 11264])).
% 4.86/5.03 tff(31429,plain,
% 4.86/5.03 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[28774, 31428, 987, 539, 476])).
% 4.86/5.03 tff(31430,plain,
% 4.86/5.03 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31127, 31429])).
% 4.86/5.03 tff(31431,plain,
% 4.86/5.03 (~(z = elem!1)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31130, 31430])).
% 4.86/5.03 tff(31432,plain,
% 4.86/5.03 (elem!1 = s(z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[752, 31419])).
% 4.86/5.03 tff(31433,plain,
% 4.86/5.03 (~r(z, elem!1)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[899, 31432, 393])).
% 4.86/5.03 tff(31434,plain,
% 4.86/5.03 (b(z, elem!1)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[353, 31433, 31431])).
% 4.86/5.03 tff(31435,plain,
% 4.86/5.03 (inj_0(s(s(elem!1))) = inj_0(s(s(s(z))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31413])).
% 4.86/5.03 tff(31436,plain,
% 4.86/5.03 (s(elem!1) = s(s(z))),
% 4.86/5.03 inference(transitivity,[status(thm)],[182, 31435, 52])).
% 4.86/5.03 tff(31437,plain,
% 4.86/5.03 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(z)))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31436])).
% 4.86/5.03 tff(31438,plain,
% 4.86/5.03 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31437])).
% 4.86/5.03 tff(31439,plain,
% 4.86/5.03 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31419])).
% 4.86/5.03 tff(31440,plain,
% 4.86/5.03 (b(elem!1, s(s(z)))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[474, 31439])).
% 4.86/5.03 tff(31441,plain,
% 4.86/5.03 (b(elem!1, s(elem!1))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31440, 31438])).
% 4.86/5.03 tff(31442,plain,
% 4.86/5.03 (b(s(elem!1), elem!1) <=> b(s(s(z)), elem!1)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31436])).
% 4.86/5.03 tff(31443,plain,
% 4.86/5.03 (b(s(s(z)), elem!1) <=> b(s(elem!1), elem!1)),
% 4.86/5.03 inference(symmetry,[status(thm)],[31442])).
% 4.86/5.03 tff(31444,plain,
% 4.86/5.03 (b(s(s(z)), s(z)) <=> b(s(s(z)), elem!1)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31419])).
% 4.86/5.03 tff(31445,plain,
% 4.86/5.03 (b(s(s(z)), elem!1)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[475, 31444])).
% 4.86/5.03 tff(31446,plain,
% 4.86/5.03 (b(s(elem!1), elem!1)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31445, 31443])).
% 4.86/5.03 tff(31447,plain,
% 4.86/5.03 (r(s(elem!1), z) <=> r(s(s(z)), z)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31436])).
% 4.86/5.03 tff(31448,plain,
% 4.86/5.03 (r(s(s(z)), z) <=> r(s(elem!1), z)),
% 4.86/5.03 inference(symmetry,[status(thm)],[31447])).
% 4.86/5.03 tff(31449,plain,
% 4.86/5.03 (r(s(elem!1), z)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[3893, 31448])).
% 4.86/5.03 tff(31450,plain,
% 4.86/5.03 (b(s(z), z) <=> b(elem!1, z)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31419])).
% 4.86/5.03 tff(31451,plain,
% 4.86/5.03 (b(elem!1, z)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[1740, 31450])).
% 4.86/5.03 tff(31452,plain,
% 4.86/5.03 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31419])).
% 4.86/5.03 tff(31453,plain,
% 4.86/5.03 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31452])).
% 4.86/5.03 tff(31454,plain,
% 4.86/5.03 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[2125, 31453])).
% 4.86/5.03 tff(31455,plain,
% 4.86/5.03 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(z))), elem!1)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31413])).
% 4.86/5.03 tff(31456,plain,
% 4.86/5.03 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.86/5.03 inference(symmetry,[status(thm)],[31455])).
% 4.86/5.03 tff(31457,plain,
% 4.86/5.03 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31419])).
% 4.86/5.03 tff(31458,plain,
% 4.86/5.03 (r(s(s(s(z))), s(z)) <=> r(s(s(elem!1)), elem!1)),
% 4.86/5.03 inference(transitivity,[status(thm)],[31457, 31456])).
% 4.86/5.03 tff(31459,plain,
% 4.86/5.03 (r(s(s(elem!1)), elem!1)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[427, 31458])).
% 4.86/5.03 tff(31460,plain,
% 4.86/5.03 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1490, 31415])).
% 4.86/5.03 tff(31461,plain,
% 4.86/5.03 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1498, 31460])).
% 4.86/5.03 tff(31462,plain,
% 4.86/5.03 (b(s(s(elem!1)), s(s(s(elem!1)))) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31413])).
% 4.86/5.03 tff(31463,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(s(elem!1)))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31462])).
% 4.86/5.03 tff(31464,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(s(elem!1)))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31420])).
% 4.86/5.03 tff(31465,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31464])).
% 4.86/5.03 tff(31466,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.03 inference(transitivity,[status(thm)],[31465, 31463])).
% 4.86/5.03 tff(31467,plain,
% 4.86/5.03 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[539, 31466])).
% 4.86/5.03 tff(31468,plain,
% 4.86/5.03 (r(s(z), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[25678, 31414, 406])).
% 4.86/5.03 tff(31469,plain,
% 4.86/5.03 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1412, 31419])).
% 4.86/5.03 tff(31470,plain,
% 4.86/5.03 (b(z, s(s(s(elem!1))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[2141, 31469, 555])).
% 4.86/5.03 tff(31471,plain,
% 4.86/5.03 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[4229, 31470, 31468, 140])).
% 4.86/5.03 tff(31472,plain,
% 4.86/5.03 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31436, 31420])).
% 4.86/5.03 tff(31473,plain,
% 4.86/5.03 (r(s(s(z)), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31472])).
% 4.86/5.03 tff(31474,plain,
% 4.86/5.03 (b(s(s(z)), s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[598, 61])).
% 4.86/5.03 tff(31475,plain,
% 4.86/5.03 (r(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31474, 31429])).
% 4.86/5.03 tff(31476,plain,
% 4.86/5.03 (r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31475, 31473])).
% 4.86/5.03 tff(31477,plain,
% 4.86/5.03 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[8358, 31468, 162])).
% 4.86/5.03 tff(31478,plain,
% 4.86/5.03 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1651, 31477, 31460])).
% 4.86/5.03 tff(31479,plain,
% 4.86/5.03 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[1204])).
% 4.86/5.03 tff(31480,plain,
% 4.86/5.03 (s(s(s(s(elem!1)))) = s(s(s(s(s(z)))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31479])).
% 4.86/5.03 tff(31481,plain,
% 4.86/5.03 (s(s(s(s(s(z))))) = s(s(s(s(elem!1))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31480])).
% 4.86/5.03 tff(31482,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(s(s(s(z)))))) <=> b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[1205, 31481])).
% 4.86/5.03 tff(31483,plain,
% 4.86/5.03 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(s(z))), s(s(s(s(s(z))))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31482])).
% 4.86/5.03 tff(31484,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(s(s(s(z))))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[2302, 31483])).
% 4.86/5.03 tff(31485,plain,
% 4.86/5.03 (inj_0(s(s(elem!1))) = inj_0(s(s(s(z))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[1204])).
% 4.86/5.03 tff(31486,plain,
% 4.86/5.03 (inj_0(s(s(s(z)))) = inj_0(s(s(elem!1)))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31485])).
% 4.86/5.03 tff(31487,plain,
% 4.86/5.03 (s(s(z)) = s(elem!1)),
% 4.86/5.03 inference(transitivity,[status(thm)],[53, 31486, 181])).
% 4.86/5.03 tff(31488,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31481, 31487])).
% 4.86/5.03 tff(31489,plain,
% 4.86/5.03 (b(s(s(s(s(elem!1)))), s(elem!1)) <=> b(s(s(s(s(s(z))))), s(s(z)))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31488])).
% 4.86/5.03 tff(31490,plain,
% 4.86/5.03 (s(s(s(z))) = s(s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1207, 1204])).
% 4.86/5.03 tff(31491,plain,
% 4.86/5.03 (s(z) = elem!1),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1237, 31490])).
% 4.86/5.03 tff(31492,plain,
% 4.86/5.03 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31491])).
% 4.86/5.03 tff(31493,plain,
% 4.86/5.03 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.86/5.03 inference(transitivity,[status(thm)],[31492, 1254])).
% 4.86/5.03 tff(31494,plain,
% 4.86/5.03 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31493])).
% 4.86/5.03 tff(31495,plain,
% 4.86/5.03 (~(s(s(s(elem!1))) = elem!1)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[1263, 31494])).
% 4.86/5.03 tff(31496,plain,
% 4.86/5.03 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1336, 31495])).
% 4.86/5.03 tff(31497,plain,
% 4.86/5.03 (~(s(s(s(s(elem!1)))) = s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[19178, 31496])).
% 4.86/5.03 tff(31498,plain,
% 4.86/5.03 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1428, 31490])).
% 4.86/5.03 tff(31499,plain,
% 4.86/5.03 (~(s(s(elem!1)) = s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[224, 31498])).
% 4.86/5.03 tff(31500,plain,
% 4.86/5.03 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1280, 31499])).
% 4.86/5.03 tff(31501,plain,
% 4.86/5.03 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1329, 31500])).
% 4.86/5.03 tff(31502,plain,
% 4.86/5.03 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[7824, 2302, 2301, 6387, 6386])).
% 4.86/5.03 tff(31503,plain,
% 4.86/5.03 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1562, 31502, 31501])).
% 4.86/5.03 tff(31504,plain,
% 4.86/5.03 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[7820, 31503, 1502])).
% 4.86/5.03 tff(31505,plain,
% 4.86/5.03 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[17655, 31504, 31497])).
% 4.86/5.03 tff(31506,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31505, 31489])).
% 4.86/5.03 tff(31507,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), s(s(s(z)))) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31481, 1205])).
% 4.86/5.03 tff(31508,plain,
% 4.86/5.03 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31507])).
% 4.86/5.03 tff(31509,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[2301, 31508])).
% 4.86/5.03 tff(31510,plain,
% 4.86/5.03 ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(z)))))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[18198, 338, 476, 21128])).
% 4.86/5.03 tff(31511,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31510, 31509, 31506, 31484])).
% 4.86/5.03 tff(31512,plain,((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~(s(s(elem!1)) = s(s(s(z))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(31513,plain,
% 4.86/5.03 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31512, 31413, 31428, 476, 31478, 31476, 31471, 31467])).
% 4.86/5.03 tff(31514,plain,
% 4.86/5.03 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1724, 31513, 31461])).
% 4.86/5.03 tff(31515,plain,
% 4.86/5.03 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[5975, 31514, 31459])).
% 4.86/5.03 tff(31516,plain,
% 4.86/5.03 (b(elem!1, s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[2297, 31515, 31454])).
% 4.86/5.03 tff(31517,plain,
% 4.86/5.03 (elem!1 = s(z)),
% 4.86/5.03 inference(symmetry,[status(thm)],[31491])).
% 4.86/5.03 tff(31518,plain,
% 4.86/5.03 (b(elem!1, s(s(s(s(s(z)))))) <=> b(s(z), s(s(s(s(s(z))))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31517])).
% 4.86/5.03 tff(31519,plain,
% 4.86/5.03 (b(s(z), s(s(s(s(s(z)))))) <=> b(elem!1, s(s(s(s(s(z))))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31518])).
% 4.86/5.03 tff(31520,plain,
% 4.86/5.03 (b(s(z), s(s(s(s(s(z)))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31491, 31481])).
% 4.86/5.03 tff(31521,plain,
% 4.86/5.03 (b(elem!1, s(s(s(s(elem!1))))) <=> b(s(z), s(s(s(s(s(z))))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31520])).
% 4.86/5.03 tff(31522,plain,
% 4.86/5.03 (b(s(z), s(s(s(s(s(z))))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[2303, 31521])).
% 4.86/5.03 tff(31523,plain,
% 4.86/5.03 (b(elem!1, s(s(s(s(s(z))))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31522, 31519])).
% 4.86/5.03 tff(31524,plain,
% 4.86/5.03 (b(z, s(s(s(s(s(z)))))) <=> b(z, s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31481])).
% 4.86/5.03 tff(31525,plain,
% 4.86/5.03 (b(z, s(s(s(s(elem!1))))) <=> b(z, s(s(s(s(s(z))))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31524])).
% 4.86/5.03 tff(31526,plain,
% 4.86/5.03 (~b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[20803, 2303, 314, 315, 1621])).
% 4.86/5.03 tff(31527,plain,
% 4.86/5.03 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[11676, 31526, 31496])).
% 4.86/5.03 tff(31528,plain,
% 4.86/5.03 (~r(z, s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[19246, 31527, 1815])).
% 4.86/5.03 tff(31529,plain,
% 4.86/5.03 (b(z, s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1698, 31528])).
% 4.86/5.03 tff(31530,plain,
% 4.86/5.03 (b(z, s(s(s(s(s(z))))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31529, 31525])).
% 4.86/5.03 tff(31531,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), elem!1) <=> b(s(s(s(s(s(z))))), s(z))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31517])).
% 4.86/5.03 tff(31532,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), s(z)) <=> b(s(s(s(s(s(z))))), elem!1)),
% 4.86/5.03 inference(symmetry,[status(thm)],[31531])).
% 4.86/5.03 tff(31533,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), s(z)) <=> b(s(s(s(s(elem!1)))), elem!1)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31481, 31491])).
% 4.86/5.03 tff(31534,plain,
% 4.86/5.03 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(s(z))))), s(z))),
% 4.86/5.03 inference(symmetry,[status(thm)],[31533])).
% 4.86/5.03 tff(31535,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), s(z))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[1621, 31534])).
% 4.86/5.03 tff(31536,plain,
% 4.86/5.03 (b(s(s(s(s(s(z))))), elem!1)),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31535, 31532])).
% 4.86/5.03 tff(31537,plain,
% 4.86/5.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))))),
% 4.86/5.03 inference(rewrite,[status(thm)],[])).
% 4.86/5.03 tff(31538,plain,
% 4.86/5.03 (((~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, z)) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))))),
% 4.86/5.03 inference(rewrite,[status(thm)],[])).
% 4.86/5.03 tff(31539,plain,
% 4.86/5.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, z)) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z)))))))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31538])).
% 4.86/5.03 tff(31540,plain,
% 4.86/5.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, z)) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))))),
% 4.86/5.03 inference(transitivity,[status(thm)],[31539, 31537])).
% 4.86/5.03 tff(31541,plain,
% 4.86/5.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, z)) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))))),
% 4.86/5.03 inference(quant_inst,[status(thm)],[])).
% 4.86/5.03 tff(31542,plain,
% 4.86/5.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z)))))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31541, 31540])).
% 4.86/5.03 tff(31543,plain,
% 4.86/5.03 ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z)))))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31542, 338, 1021, 1131])).
% 4.86/5.03 tff(31544,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31543, 31536, 31530, 31523])).
% 4.86/5.03 tff(31545,plain,((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~(s(s(elem!1)) = s(s(s(z))))) | (~r(s(elem!1), z)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(31546,plain,
% 4.86/5.03 (~b(s(s(s(s(elem!1)))), elem!1)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31545, 31516, 31451, 31413, 31449, 31446, 31441, 31434])).
% 4.86/5.03 tff(31547,plain,
% 4.86/5.03 (~b(s(s(s(s(elem!1)))), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1593, 31546, 31419])).
% 4.86/5.03 tff(31548,plain,
% 4.86/5.03 (r(s(s(s(s(elem!1)))), s(z))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1585, 31547])).
% 4.86/5.03 tff(31549,plain,
% 4.86/5.03 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1554, 31548, 31427, 31419])).
% 4.86/5.03 tff(31550,plain,
% 4.86/5.03 (r(s(s(s(s(elem!1)))), elem!1)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[2193, 31548, 31419])).
% 4.86/5.03 tff(31551,plain,
% 4.86/5.03 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.86/5.03 inference(rewrite,[status(thm)],[])).
% 4.86/5.03 tff(31552,plain,
% 4.86/5.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.86/5.03 inference(quant_inst,[status(thm)],[])).
% 4.86/5.03 tff(31553,plain,
% 4.86/5.03 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(s(elem!1)))), elem!1)) | (~r(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[31552, 31551])).
% 4.86/5.03 tff(31554,plain,
% 4.86/5.03 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31553, 82, 254, 5281])).
% 4.86/5.03 tff(31555,plain,
% 4.86/5.03 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1651, 31554, 1496])).
% 4.86/5.03 tff(31556,plain,
% 4.86/5.03 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[7758, 82, 254, 5281])).
% 4.86/5.03 tff(31557,plain,
% 4.86/5.03 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1724, 31556, 2266])).
% 4.86/5.03 tff(31558,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[7824, 31557, 31555, 6387, 6386, 2208])).
% 4.86/5.03 tff(31559,plain,((~r(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(31560,plain,
% 4.86/5.03 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31559, 31550, 31467, 31471, 31460, 31459])).
% 4.86/5.03 tff(31561,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1562, 31560, 31549, 31418])).
% 4.86/5.03 tff(31562,plain,(b(z, s(s(elem!1))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | r(z, s(z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | r(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(31563,plain,
% 4.86/5.03 (b(z, s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31562, 31380, 25198, 31387, 427, 17571, 31405, 31333, 31383, 393, 406, 31389, 31375, 24132, 31403])).
% 4.86/5.03 tff(31564,plain,
% 4.86/5.03 (~(s(z) = elem!1)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[16899, 31563, 31377])).
% 4.86/5.03 tff(31565,plain,
% 4.86/5.03 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1237, 31564])).
% 4.86/5.03 tff(31566,plain,
% 4.86/5.03 (~b(s(s(elem!1)), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[31036, 3484, 175, 555])).
% 4.86/5.03 tff(31567,plain,
% 4.86/5.03 (r(s(s(elem!1)), z)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[800, 31566])).
% 4.86/5.03 tff(31568,plain,
% 4.86/5.03 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[1217, 31567, 426])).
% 4.86/5.03 tff(31569,plain,
% 4.86/5.03 (b(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6754, 31568, 871])).
% 4.86/5.03 tff(31570,plain,
% 4.86/5.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.03 inference(rewrite,[status(thm)],[])).
% 4.86/5.03 tff(31571,plain,
% 4.86/5.03 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.03 inference(rewrite,[status(thm)],[])).
% 4.86/5.03 tff(31572,plain,
% 4.86/5.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[31571])).
% 4.86/5.03 tff(31573,plain,
% 4.86/5.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.04 inference(transitivity,[status(thm)],[31572, 31570])).
% 4.86/5.04 tff(31574,plain,
% 4.86/5.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 4.86/5.04 inference(quant_inst,[status(thm)],[])).
% 4.86/5.04 tff(31575,plain,
% 4.86/5.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31574, 31573])).
% 4.86/5.04 tff(31576,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31575, 338, 8722, 539, 175, 31569, 3484, 30991])).
% 4.86/5.04 tff(31577,plain,((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31578,plain,
% 4.86/5.04 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31577, 31563, 25198, 31375, 31565, 31389, 31383])).
% 4.86/5.04 tff(31579,plain,
% 4.86/5.04 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[10478, 31578, 31403])).
% 4.86/5.04 tff(31580,plain,
% 4.86/5.04 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(elem!1)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31579])).
% 4.86/5.04 tff(31581,plain,
% 4.86/5.04 (b(s(s(elem!1)), s(s(elem!1))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.04 inference(symmetry,[status(thm)],[31580])).
% 4.86/5.04 tff(31582,plain,
% 4.86/5.04 ((~b(s(s(elem!1)), s(s(elem!1)))) <=> (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31581])).
% 4.86/5.04 tff(31583,plain,
% 4.86/5.04 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(elem!1)), s(s(elem!1)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31579])).
% 4.86/5.04 tff(31584,plain,
% 4.86/5.04 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(elem!1)), s(s(elem!1))))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31583])).
% 4.86/5.04 tff(31585,plain,
% 4.86/5.04 (~b(s(s(elem!1)), s(s(elem!1)))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31578, 31584])).
% 4.86/5.04 tff(31586,plain,
% 4.86/5.04 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31585, 31582])).
% 4.86/5.04 tff(31587,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[30991, 31586])).
% 4.86/5.04 tff(31588,plain,(r(z, s(z)) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31589,plain,
% 4.86/5.04 (r(z, s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31588, 406, 427, 71, 72])).
% 4.86/5.04 tff(31590,plain,
% 4.86/5.04 (~r(z, s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[11465, 31589, 72])).
% 4.86/5.04 tff(31591,plain,
% 4.86/5.04 (b(z, s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[391, 31590])).
% 4.86/5.04 tff(31592,plain,
% 4.86/5.04 (~r(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[2890, 31589, 427])).
% 4.86/5.04 tff(31593,plain,
% 4.86/5.04 (b(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[149, 31592])).
% 4.86/5.04 tff(31594,plain,
% 4.86/5.04 (~b(s(s(s(s(z)))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[22019, 31593, 406, 72, 31591])).
% 4.86/5.04 tff(31595,plain,
% 4.86/5.04 (r(s(s(s(s(z)))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[127, 31594])).
% 4.86/5.04 tff(31596,plain,
% 4.86/5.04 (~r(s(s(z)), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[3898, 31595, 71])).
% 4.86/5.04 tff(31597,plain,
% 4.86/5.04 (b(s(s(z)), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[956, 31596])).
% 4.86/5.04 tff(31598,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31355, 338, 31333, 31593, 31597, 24132, 17571, 31591])).
% 4.86/5.04 tff(31599,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31600,plain,
% 4.86/5.04 (~r(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31599, 427, 72, 71])).
% 4.86/5.04 tff(31601,plain,
% 4.86/5.04 (b(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[424, 31600])).
% 4.86/5.04 tff(31602,plain,
% 4.86/5.04 (~b(s(s(s(s(z)))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[18635, 486, 1740, 175, 555])).
% 4.86/5.04 tff(31603,plain,
% 4.86/5.04 (r(s(s(s(s(z)))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[119, 31602])).
% 4.86/5.04 tff(31604,plain,
% 4.86/5.04 (~b(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[19317, 31603, 71, 1740, 486, 474, 539])).
% 4.86/5.04 tff(31605,plain,
% 4.86/5.04 (r(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[149, 31604])).
% 4.86/5.04 tff(31606,plain,
% 4.86/5.04 (~r(s(s(z)), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[29102, 31605, 474, 486, 427])).
% 4.86/5.04 tff(31607,plain,
% 4.86/5.04 (b(s(s(z)), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[534, 31606])).
% 4.86/5.04 tff(31608,plain,
% 4.86/5.04 (~r(s(s(z)), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[464, 31603, 71])).
% 4.86/5.04 tff(31609,plain,
% 4.86/5.04 (b(s(s(z)), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[472, 31608])).
% 4.86/5.04 tff(31610,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.04 inference(rewrite,[status(thm)],[])).
% 4.86/5.04 tff(31611,plain,
% 4.86/5.04 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.04 inference(rewrite,[status(thm)],[])).
% 4.86/5.04 tff(31612,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31611])).
% 4.86/5.04 tff(31613,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.04 inference(transitivity,[status(thm)],[31612, 31610])).
% 4.86/5.04 tff(31614,plain,
% 4.86/5.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))))),
% 4.86/5.04 inference(quant_inst,[status(thm)],[])).
% 4.86/5.04 tff(31615,plain,
% 4.86/5.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31614, 31613])).
% 4.86/5.04 tff(31616,plain,
% 4.86/5.04 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31615, 338, 31607, 457, 31609, 539, 30991])).
% 4.86/5.04 tff(31617,plain,
% 4.86/5.04 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[2880, 82, 31603, 427])).
% 4.86/5.04 tff(31618,plain,
% 4.86/5.04 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[1011, 31617])).
% 4.86/5.04 tff(31619,plain,
% 4.86/5.04 (~b(s(s(s(z))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[26130, 31618, 175, 31603, 31607, 457, 539])).
% 4.86/5.04 tff(31620,plain,
% 4.86/5.04 (r(s(s(s(z))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[135, 31619])).
% 4.86/5.04 tff(31621,plain,
% 4.86/5.04 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[10740, 31616, 539])).
% 4.86/5.04 tff(31622,plain,
% 4.86/5.04 (~b(s(s(z)), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[11303, 31603, 71, 1740, 486])).
% 4.86/5.04 tff(31623,plain,
% 4.86/5.04 (r(s(s(z)), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[956, 31622])).
% 4.86/5.04 tff(31624,plain,
% 4.86/5.04 (~r(s(s(s(z))), s(s(z)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[960, 82, 31620, 31623])).
% 4.86/5.04 tff(31625,plain,
% 4.86/5.04 (b(s(s(s(z))), s(s(z)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[639, 31624])).
% 4.86/5.04 tff(31626,plain,
% 4.86/5.04 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[28774, 31625, 31618, 539, 31607])).
% 4.86/5.04 tff(31627,plain,
% 4.86/5.04 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31127, 31626])).
% 4.86/5.04 tff(31628,plain,
% 4.86/5.04 (~(z = elem!1)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31130, 31627])).
% 4.86/5.04 tff(31629,plain,
% 4.86/5.04 (~(s(elem!1) = s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[1912, 31628])).
% 4.86/5.04 tff(31630,plain,
% 4.86/5.04 (~(s(s(elem!1)) = s(s(z)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[10916, 31629])).
% 4.86/5.04 tff(31631,plain,
% 4.86/5.04 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31402, 31630, 71, 1740, 486, 31603, 474])).
% 4.86/5.04 tff(31632,plain,
% 4.86/5.04 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[10478, 31631, 31621])).
% 4.86/5.04 tff(31633,plain,
% 4.86/5.04 (~b(s(s(elem!1)), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31036, 31632, 175, 555])).
% 4.86/5.04 tff(31634,plain,
% 4.86/5.04 (r(s(s(elem!1)), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[800, 31633])).
% 4.86/5.04 tff(31635,plain,
% 4.86/5.04 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[1217, 31634, 31620])).
% 4.86/5.04 tff(31636,plain,
% 4.86/5.04 (s(s(s(z))) = s(s(elem!1))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6754, 31635, 31616])).
% 4.86/5.04 tff(31637,plain,
% 4.86/5.04 (s(z) = elem!1),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[1237, 31636])).
% 4.86/5.04 tff(31638,plain,
% 4.86/5.04 (b(s(elem!1), s(s(elem!1)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6759, 31637, 31607])).
% 4.86/5.04 tff(31639,plain,
% 4.86/5.04 (inj_0(s(s(s(z)))) = inj_0(s(s(elem!1)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31636])).
% 4.86/5.04 tff(31640,plain,
% 4.86/5.04 (s(s(z)) = s(elem!1)),
% 4.86/5.04 inference(transitivity,[status(thm)],[53, 31639, 181])).
% 4.86/5.04 tff(31641,plain,
% 4.86/5.04 (b(s(s(z)), elem!1) <=> b(s(elem!1), elem!1)),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31640])).
% 4.86/5.04 tff(31642,plain,
% 4.86/5.04 (b(s(s(z)), s(z)) <=> b(s(s(z)), elem!1)),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31637])).
% 4.86/5.04 tff(31643,plain,
% 4.86/5.04 (b(s(s(z)), elem!1)),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31609, 31642])).
% 4.86/5.04 tff(31644,plain,
% 4.86/5.04 (b(s(elem!1), elem!1)),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31643, 31641])).
% 4.86/5.04 tff(31645,plain,
% 4.86/5.04 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31640])).
% 4.86/5.04 tff(31646,plain,
% 4.86/5.04 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31637])).
% 4.86/5.04 tff(31647,plain,
% 4.86/5.04 (b(elem!1, s(s(z)))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[474, 31646])).
% 4.86/5.04 tff(31648,plain,
% 4.86/5.04 (b(elem!1, s(elem!1))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31647, 31645])).
% 4.86/5.04 tff(31649,plain,
% 4.86/5.04 (b(s(s(elem!1)), s(s(z))) <=> b(s(s(elem!1)), s(elem!1))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31640])).
% 4.86/5.04 tff(31650,plain,
% 4.86/5.04 (b(s(s(s(z))), s(s(z))) <=> b(s(s(elem!1)), s(s(z)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31636])).
% 4.86/5.04 tff(31651,plain,
% 4.86/5.04 (b(s(s(elem!1)), s(s(z)))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31625, 31650])).
% 4.86/5.04 tff(31652,plain,
% 4.86/5.04 (b(s(s(elem!1)), s(elem!1))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31651, 31649])).
% 4.86/5.04 tff(31653,plain,
% 4.86/5.04 (b(s(z), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31637])).
% 4.86/5.04 tff(31654,plain,
% 4.86/5.04 (b(s(z), s(s(s(z)))) <=> b(s(z), s(s(elem!1)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31636])).
% 4.86/5.04 tff(31655,plain,
% 4.86/5.04 (b(s(z), s(s(elem!1)))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[457, 31654])).
% 4.86/5.04 tff(31656,plain,
% 4.86/5.04 (b(elem!1, s(s(elem!1)))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31655, 31653])).
% 4.86/5.04 tff(31657,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[18649, 338, 31656, 31652, 31648, 31644, 31638])).
% 4.86/5.04 tff(31658,plain,((~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31659,plain,
% 4.86/5.04 (~b(z, s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31658, 31601, 17571, 31359, 31373, 71, 31333, 25198, 427])).
% 4.86/5.04 tff(31660,plain,
% 4.86/5.04 (r(z, s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[403, 31659])).
% 4.86/5.04 tff(31661,plain,
% 4.86/5.04 (~r(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[2890, 31660, 427])).
% 4.86/5.04 tff(31662,plain,
% 4.86/5.04 (b(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[149, 31661])).
% 4.86/5.04 tff(31663,plain,
% 4.86/5.04 (~r(s(s(s(z))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[19094, 31660, 427])).
% 4.86/5.04 tff(31664,plain,
% 4.86/5.04 (b(s(s(s(z))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[135, 31663])).
% 4.86/5.04 tff(31665,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[25652, 31664, 31662, 25198, 31359, 31373])).
% 4.86/5.04 tff(31666,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31667,plain,
% 4.86/5.04 (~r(s(s(s(z))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31666, 72, 71])).
% 4.86/5.04 tff(31668,plain,
% 4.86/5.04 (b(s(s(s(z))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[437, 31667])).
% 4.86/5.04 tff(31669,plain,
% 4.86/5.04 (~r(s(s(s(s(z)))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[14739, 31339, 1122])).
% 4.86/5.04 tff(31670,plain,
% 4.86/5.04 (b(s(s(s(s(z)))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[119, 31669])).
% 4.86/5.04 tff(31671,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.04 inference(rewrite,[status(thm)],[])).
% 4.86/5.04 tff(31672,plain,
% 4.86/5.04 (((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.04 inference(rewrite,[status(thm)],[])).
% 4.86/5.04 tff(31673,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31672])).
% 4.86/5.04 tff(31674,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.04 inference(transitivity,[status(thm)],[31673, 31671])).
% 4.86/5.04 tff(31675,plain,
% 4.86/5.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.04 inference(quant_inst,[status(thm)],[])).
% 4.86/5.04 tff(31676,plain,
% 4.86/5.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31675, 31674])).
% 4.86/5.04 tff(31677,plain,
% 4.86/5.04 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31676, 338, 31333, 31668, 31347, 17571, 31670])).
% 4.86/5.04 tff(31678,plain,
% 4.86/5.04 (r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[1011, 31677])).
% 4.86/5.04 tff(31679,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.04 inference(rewrite,[status(thm)],[])).
% 4.86/5.04 tff(31680,plain,
% 4.86/5.04 (((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.04 inference(rewrite,[status(thm)],[])).
% 4.86/5.04 tff(31681,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[31680])).
% 4.86/5.04 tff(31682,plain,
% 4.86/5.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 4.86/5.04 inference(transitivity,[status(thm)],[31681, 31679])).
% 4.86/5.04 tff(31683,plain,
% 4.86/5.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 4.86/5.04 inference(quant_inst,[status(thm)],[])).
% 4.86/5.04 tff(31684,plain,
% 4.86/5.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[31683, 31682])).
% 4.86/5.04 tff(31685,plain,
% 4.86/5.04 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31684, 338, 31333, 31668, 31347, 17571, 31670])).
% 4.86/5.04 tff(31686,plain,
% 4.86/5.04 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[689, 31685])).
% 4.86/5.04 tff(31687,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[28102, 31686, 31678, 71, 1122])).
% 4.86/5.04 tff(31688,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31689,plain,
% 4.86/5.04 (~r(s(s(s(s(z)))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31688, 72, 71])).
% 4.86/5.04 tff(31690,plain,
% 4.86/5.04 (b(s(s(s(s(z)))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[127, 31689])).
% 4.86/5.04 tff(31691,plain,
% 4.86/5.04 (~r(z, s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31371, 31690, 71, 72])).
% 4.86/5.04 tff(31692,plain,
% 4.86/5.04 (b(z, s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[391, 31691])).
% 4.86/5.04 tff(31693,plain,
% 4.86/5.04 (~b(s(s(s(s(z)))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[18635, 486, 31333, 31690, 31692])).
% 4.86/5.04 tff(31694,plain,
% 4.86/5.04 (r(s(s(s(s(z)))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[119, 31693])).
% 4.86/5.04 tff(31695,plain,
% 4.86/5.04 (~b(s(s(z)), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[11303, 31694, 71, 31333, 486])).
% 4.86/5.04 tff(31696,plain,
% 4.86/5.04 (r(s(s(z)), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[956, 31695])).
% 4.86/5.04 tff(31697,plain,
% 4.86/5.04 (~b(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[536, 164, 71, 31668, 486, 31694])).
% 4.86/5.04 tff(31698,plain,
% 4.86/5.04 (r(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[424, 31697])).
% 4.86/5.04 tff(31699,plain,
% 4.86/5.04 (~b(s(s(s(z))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[26568, 31698, 31668, 31690, 72])).
% 4.86/5.04 tff(31700,plain,
% 4.86/5.04 (r(s(s(s(z))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[135, 31699])).
% 4.86/5.04 tff(31701,plain,
% 4.86/5.04 (~r(s(s(s(z))), s(s(z)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[960, 82, 31700, 31696])).
% 4.86/5.04 tff(31702,plain,
% 4.86/5.04 (b(s(s(s(z))), s(s(z)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[639, 31701])).
% 4.86/5.04 tff(31703,plain,
% 4.86/5.04 (~r(s(s(z)), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[464, 31694, 71])).
% 4.86/5.04 tff(31704,plain,
% 4.86/5.04 (b(s(s(z)), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[472, 31703])).
% 4.86/5.04 tff(31705,plain,
% 4.86/5.04 (~r(s(s(z)), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[521, 164, 486, 31704, 17571])).
% 4.86/5.04 tff(31706,plain,
% 4.86/5.04 (b(s(s(z)), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[534, 31705])).
% 4.86/5.04 tff(31707,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[21737, 338, 31706, 31704, 31668, 31702, 17571])).
% 4.86/5.04 tff(31708,plain,((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31709,plain,
% 4.86/5.04 (~r(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31708, 486, 71, 72])).
% 4.86/5.04 tff(31710,plain,
% 4.86/5.04 (b(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[149, 31709])).
% 4.86/5.04 tff(31711,plain,
% 4.86/5.04 (~r(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[22019, 31710, 31690, 72, 31692])).
% 4.86/5.04 tff(31712,plain,
% 4.86/5.04 (~b(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[3356, 31710, 31668, 31333, 486])).
% 4.86/5.04 tff(31713,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[424, 31712, 31711])).
% 4.86/5.04 tff(31714,plain,((~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31715,plain,
% 4.86/5.04 (~b(z, s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31714, 72, 71])).
% 4.86/5.04 tff(31716,plain,
% 4.86/5.04 (r(z, s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[403, 31715])).
% 4.86/5.04 tff(31717,plain,
% 4.86/5.04 (~r(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[22019, 3348, 31690, 72, 31692])).
% 4.86/5.04 tff(31718,plain,
% 4.86/5.04 (b(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[424, 31717])).
% 4.86/5.04 tff(31719,plain,
% 4.86/5.04 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31004, 31718, 17571, 71, 31668])).
% 4.86/5.04 tff(31720,plain,
% 4.86/5.04 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[1011, 31719])).
% 4.86/5.04 tff(31721,plain,
% 4.86/5.04 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[21871, 31720, 3348, 31690, 31692])).
% 4.86/5.04 tff(31722,plain,
% 4.86/5.04 (~b(s(s(s(z))), s(s(z)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[21865, 31718, 31333, 17571, 31668, 3348])).
% 4.86/5.04 tff(31723,plain,
% 4.86/5.04 (r(s(s(s(z))), s(s(z)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[639, 31722])).
% 4.86/5.04 tff(31724,plain,
% 4.86/5.04 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[2472, 31723, 71])).
% 4.86/5.04 tff(31725,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[689, 31724, 31721])).
% 4.86/5.04 tff(31726,plain,((~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31727,plain,
% 4.86/5.04 (~b(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31726, 72, 71])).
% 4.86/5.04 tff(31728,plain,
% 4.86/5.04 (r(z, s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[149, 31727])).
% 4.86/5.04 tff(31729,plain,
% 4.86/5.04 (~r(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[16605, 31728, 31716])).
% 4.86/5.04 tff(31730,plain,
% 4.86/5.04 (b(s(z), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[424, 31729])).
% 4.86/5.04 tff(31731,plain,
% 4.86/5.04 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31004, 31730, 17571, 71, 31668])).
% 4.86/5.04 tff(31732,plain,
% 4.86/5.04 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[1011, 31731])).
% 4.86/5.04 tff(31733,plain,
% 4.86/5.04 (~b(s(s(s(s(z)))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[17989, 31732, 31728, 17571, 31690, 31730, 31692, 31668])).
% 4.86/5.04 tff(31734,plain,
% 4.86/5.04 (~r(s(s(z)), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[26838, 31730, 31333, 31690, 31692, 31728, 31668])).
% 4.86/5.04 tff(31735,plain,
% 4.86/5.04 (b(s(s(z)), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[534, 31734])).
% 4.86/5.04 tff(31736,plain,
% 4.86/5.04 (~r(s(s(s(s(z)))), s(z))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[18385, 31735, 71, 31668, 31730])).
% 4.86/5.04 tff(31737,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[119, 31736, 31733])).
% 4.86/5.04 tff(31738,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31739,plain,
% 4.86/5.04 (~r(s(z), s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31738, 71])).
% 4.86/5.04 tff(31740,plain,
% 4.86/5.04 (b(s(z), s(s(s(s(z)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[106, 31739])).
% 4.86/5.04 tff(31741,plain,
% 4.86/5.04 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[30723, 30993, 31740, 21538, 405, 30996, 70])).
% 4.86/5.04 tff(31742,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[1011, 31741, 30994])).
% 4.86/5.04 tff(31743,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(31744,plain,
% 4.86/5.04 (~r(s(s(s(s(z)))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[31743, 405, 70, 71])).
% 4.86/5.04 tff(31745,plain,
% 4.86/5.04 (b(s(s(s(s(z)))), z)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[127, 31744])).
% 4.86/5.04 tff(31746,plain,
% 4.86/5.05 (~r(s(s(z)), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[21488, 405, 70])).
% 4.86/5.05 tff(31747,plain,
% 4.86/5.05 (b(s(s(z)), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[956, 31746])).
% 4.86/5.05 tff(31748,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[21147, 338, 476, 601, 3348, 2431, 21128])).
% 4.86/5.05 tff(31749,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31750,plain,
% 4.86/5.05 (~b(s(s(s(z))), s(s(z)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31749, 476, 601, 3348, 2431])).
% 4.86/5.05 tff(31751,plain,
% 4.86/5.05 (r(s(s(s(z))), s(s(z)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[639, 31750])).
% 4.86/5.05 tff(31752,plain,
% 4.86/5.05 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[2472, 31751, 71])).
% 4.86/5.05 tff(31753,plain,
% 4.86/5.05 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[689, 31752])).
% 4.86/5.05 tff(31754,plain,
% 4.86/5.05 (~r(s(s(s(z))), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[28755, 31751, 70])).
% 4.86/5.05 tff(31755,plain,
% 4.86/5.05 (b(s(s(s(z))), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[437, 31754])).
% 4.86/5.05 tff(31756,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[4118, 338, 476, 601, 3348, 31755, 21538, 31753])).
% 4.86/5.05 tff(31757,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31758,plain,
% 4.86/5.05 (~b(s(s(z)), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31757, 3348, 30343, 71, 70, 31747])).
% 4.86/5.05 tff(31759,plain,
% 4.86/5.05 (r(s(s(z)), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[534, 31758])).
% 4.86/5.05 tff(31760,plain,
% 4.86/5.05 (~r(s(z), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[13187, 31759, 70])).
% 4.86/5.05 tff(31761,plain,
% 4.86/5.05 (b(s(z), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[424, 31760])).
% 4.86/5.05 tff(31762,plain,
% 4.86/5.05 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1457, 31759, 71])).
% 4.86/5.05 tff(31763,plain,
% 4.86/5.05 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1011, 31762])).
% 4.86/5.05 tff(31764,plain,
% 4.86/5.05 (~b(s(s(s(z))), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5079, 31763, 31740, 31761, 21538])).
% 4.86/5.05 tff(31765,plain,
% 4.86/5.05 (r(s(s(s(z))), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[437, 31764])).
% 4.86/5.05 tff(31766,plain,
% 4.86/5.05 (~b(s(s(s(z))), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[30723, 31763, 31740, 21538, 405, 3348, 70])).
% 4.86/5.05 tff(31767,plain,
% 4.86/5.05 (r(s(s(s(z))), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[135, 31766])).
% 4.86/5.05 tff(31768,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[432, 31767, 31765, 405])).
% 4.86/5.05 tff(31769,plain,((~b(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31770,plain,
% 4.86/5.05 (~b(z, s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31769, 405, 70, 71])).
% 4.86/5.05 tff(31771,plain,
% 4.86/5.05 (r(z, s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[149, 31770])).
% 4.86/5.05 tff(31772,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[26532, 15885, 11394, 651, 12512, 2911])).
% 4.86/5.05 tff(31773,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31774,plain,
% 4.86/5.05 (~r(z, s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31773, 31771, 21538, 31740, 405])).
% 4.86/5.05 tff(31775,plain,
% 4.86/5.05 (b(z, s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[391, 31774])).
% 4.86/5.05 tff(31776,plain,
% 4.86/5.05 (~b(z, s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6869, 31775, 31740, 21538, 31745])).
% 4.86/5.05 tff(31777,plain,
% 4.86/5.05 (b(s(z), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[743, 31138])).
% 4.86/5.05 tff(31778,plain,
% 4.86/5.05 ((~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[10998, 30991])).
% 4.86/5.05 tff(31779,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31778, 31777, 1250, 651, 2911])).
% 4.86/5.05 tff(31780,plain,((~r(s(s(elem!1)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31781,plain,
% 4.86/5.05 (~r(s(s(elem!1)), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31780, 405, 21538, 31740])).
% 4.86/5.05 tff(31782,plain,
% 4.86/5.05 (b(s(s(elem!1)), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[800, 31781])).
% 4.86/5.05 tff(31783,plain,
% 4.86/5.05 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31036, 878, 175, 555])).
% 4.86/5.05 tff(31784,plain,
% 4.86/5.05 (b(s(z), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[15299, 165, 651, 175, 1267])).
% 4.86/5.05 tff(31785,plain,
% 4.86/5.05 (~b(s(s(elem!1)), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31778, 31784, 651, 2911])).
% 4.86/5.05 tff(31786,plain,
% 4.86/5.05 (r(s(s(elem!1)), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[784, 31785])).
% 4.86/5.05 tff(31787,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[12097, 82, 165, 1731, 31786])).
% 4.86/5.05 tff(31788,plain,((~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | b(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31789,plain,
% 4.86/5.05 (~r(z, s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31788, 31783, 651, 2911, 175, 1731])).
% 4.86/5.05 tff(31790,plain,
% 4.86/5.05 (b(z, s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[161, 31789])).
% 4.86/5.05 tff(31791,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(31792,plain,
% 4.86/5.05 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(31793,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31792])).
% 4.86/5.05 tff(31794,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.05 inference(transitivity,[status(thm)],[31793, 31791])).
% 4.86/5.05 tff(31795,plain,
% 4.86/5.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.05 inference(quant_inst,[status(thm)],[])).
% 4.86/5.05 tff(31796,plain,
% 4.86/5.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31795, 31794])).
% 4.86/5.05 tff(31797,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31796, 338, 31790, 878, 175, 555, 30991])).
% 4.86/5.05 tff(31798,plain,((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31799,plain,
% 4.86/5.05 (~r(z, s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31798, 31775, 31745, 31740, 21538, 31782])).
% 4.86/5.05 tff(31800,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[403, 31799, 31776])).
% 4.86/5.05 tff(31801,plain,((~r(s(z), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31802,plain,
% 4.86/5.05 (~r(s(z), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31801, 70, 71])).
% 4.86/5.05 tff(31803,plain,
% 4.86/5.05 (b(s(z), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[26, 31802])).
% 4.86/5.05 tff(31804,plain,
% 4.86/5.05 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1127, 12174, 150])).
% 4.86/5.05 tff(31805,plain,
% 4.86/5.05 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1011, 31804])).
% 4.86/5.05 tff(31806,plain,
% 4.86/5.05 (~r(z, s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[28835, 12174, 31740, 150])).
% 4.86/5.05 tff(31807,plain,
% 4.86/5.05 (b(z, s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[403, 31806])).
% 4.86/5.05 tff(31808,plain,
% 4.86/5.05 (~b(z, s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[3815, 31807, 31740, 21538, 31803])).
% 4.86/5.05 tff(31809,plain,
% 4.86/5.05 (r(z, s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[391, 31808])).
% 4.86/5.05 tff(31810,plain,
% 4.86/5.05 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[919, 31809, 150])).
% 4.86/5.05 tff(31811,plain,
% 4.86/5.05 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[689, 31810])).
% 4.86/5.05 tff(31812,plain,
% 4.86/5.05 (~b(s(z), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[26532, 31811, 31740, 31805, 21538])).
% 4.86/5.05 tff(31813,plain,
% 4.86/5.05 (r(s(z), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[424, 31812])).
% 4.86/5.05 tff(31814,plain,
% 4.86/5.05 (~b(s(s(s(z))), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5782, 31811, 21538, 31805, 31740])).
% 4.86/5.05 tff(31815,plain,
% 4.86/5.05 (r(s(s(s(z))), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[437, 31814])).
% 4.86/5.05 tff(31816,plain,
% 4.86/5.05 (~r(s(s(s(z))), s(s(z)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[28755, 31815, 70])).
% 4.86/5.05 tff(31817,plain,
% 4.86/5.05 (b(s(s(s(z))), s(s(z)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[639, 31816])).
% 4.86/5.05 tff(31818,plain,
% 4.86/5.05 (~r(s(s(z)), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[3898, 12174, 71])).
% 4.86/5.05 tff(31819,plain,
% 4.86/5.05 (b(s(s(z)), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[956, 31818])).
% 4.86/5.05 tff(31820,plain,
% 4.86/5.05 (~r(z, s(s(z)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[4062, 31807, 71, 31740, 31803])).
% 4.86/5.05 tff(31821,plain,
% 4.86/5.05 (b(z, s(s(z)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[563, 31820])).
% 4.86/5.05 tff(31822,plain,
% 4.86/5.05 (~r(s(s(z)), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[13187, 31813, 70])).
% 4.86/5.05 tff(31823,plain,
% 4.86/5.05 (b(s(s(z)), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[534, 31822])).
% 4.86/5.05 tff(31824,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[28319, 338, 476, 601, 1741, 2431, 21128])).
% 4.86/5.05 tff(31825,plain,((~b(s(s(s(z))), z)) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31826,plain,
% 4.86/5.05 (~b(s(s(s(z))), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31825, 31823, 31821, 31819, 31817])).
% 4.86/5.05 tff(31827,plain,
% 4.86/5.05 (r(s(s(s(z))), z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[135, 31826])).
% 4.86/5.05 tff(31828,plain,
% 4.86/5.05 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1127, 1122, 150])).
% 4.86/5.05 tff(31829,plain,
% 4.86/5.05 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1011, 31828])).
% 4.86/5.05 tff(31830,plain,
% 4.86/5.05 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[13780, 82, 787, 1122])).
% 4.86/5.05 tff(31831,plain,
% 4.86/5.05 ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[11475, 30991])).
% 4.86/5.05 tff(31832,plain,
% 4.86/5.05 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31831, 747, 651, 2911])).
% 4.86/5.05 tff(31833,plain,
% 4.86/5.05 (s(s(s(s(z)))) = s(s(elem!1))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[10478, 31832, 10476])).
% 4.86/5.05 tff(31834,plain,
% 4.86/5.05 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31833])).
% 4.86/5.05 tff(31835,plain,
% 4.86/5.05 (b(s(s(elem!1)), s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 4.86/5.05 inference(symmetry,[status(thm)],[31834])).
% 4.86/5.05 tff(31836,plain,
% 4.86/5.05 ((~b(s(s(elem!1)), s(z))) <=> (~b(s(s(s(s(z)))), s(z)))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31835])).
% 4.86/5.05 tff(31837,plain,
% 4.86/5.05 (~b(s(s(elem!1)), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31778, 747, 651, 2911])).
% 4.86/5.05 tff(31838,plain,
% 4.86/5.05 (~b(s(s(s(s(z)))), s(z))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31837, 31836])).
% 4.86/5.05 tff(31839,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[2911, 31838])).
% 4.86/5.05 tff(31840,plain,((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | r(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31841,plain,
% 4.86/5.05 (~b(s(z), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31840, 31830, 2911, 651])).
% 4.86/5.05 tff(31842,plain,
% 4.86/5.05 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[13911, 31841, 651])).
% 4.86/5.05 tff(31843,plain,
% 4.86/5.05 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[10478, 31842, 31830])).
% 4.86/5.05 tff(31844,plain,
% 4.86/5.05 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31408, 31843, 31829, 539])).
% 4.86/5.05 tff(31845,plain,
% 4.86/5.05 (s(s(elem!1)) = s(s(s(z)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6881, 31844, 1203])).
% 4.86/5.05 tff(31846,plain,
% 4.86/5.05 (s(s(s(z))) = s(s(elem!1))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1207, 31845])).
% 4.86/5.05 tff(31847,plain,
% 4.86/5.05 (s(z) = elem!1),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1237, 31846])).
% 4.86/5.05 tff(31848,plain,
% 4.86/5.05 (s(s(z)) = s(elem!1)),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31847])).
% 4.86/5.05 tff(31849,plain,
% 4.86/5.05 (s(s(s(z))) = s(s(elem!1))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31848])).
% 4.86/5.05 tff(31850,plain,
% 4.86/5.05 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31849])).
% 4.86/5.05 tff(31851,plain,
% 4.86/5.05 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 4.86/5.05 inference(symmetry,[status(thm)],[31850])).
% 4.86/5.05 tff(31852,plain,
% 4.86/5.05 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31851])).
% 4.86/5.05 tff(31853,plain,
% 4.86/5.05 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.05 inference(symmetry,[status(thm)],[31852])).
% 4.86/5.05 tff(31854,plain,
% 4.86/5.05 (r(s(s(z)), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31848])).
% 4.86/5.05 tff(31855,plain,
% 4.86/5.05 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[28774, 21128, 31829, 539, 476])).
% 4.86/5.05 tff(31856,plain,
% 4.86/5.05 (r(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31474, 31855])).
% 4.86/5.05 tff(31857,plain,
% 4.86/5.05 (r(s(elem!1), s(s(s(s(z)))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31856, 31854])).
% 4.86/5.05 tff(31858,plain,
% 4.86/5.05 (r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31857, 31853])).
% 4.86/5.05 tff(31859,plain,
% 4.86/5.05 (~(s(s(s(elem!1))) = s(elem!1))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1428, 31846])).
% 4.86/5.05 tff(31860,plain,
% 4.86/5.05 (~(s(s(elem!1)) = s(elem!1))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[224, 31859])).
% 4.86/5.05 tff(31861,plain,
% 4.86/5.05 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1280, 31860])).
% 4.86/5.05 tff(31862,plain,
% 4.86/5.05 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1329, 31861])).
% 4.86/5.05 tff(31863,plain,
% 4.86/5.05 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1490, 31859])).
% 4.86/5.05 tff(31864,plain,
% 4.86/5.05 (r(s(z), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[743, 31841])).
% 4.86/5.05 tff(31865,plain,
% 4.86/5.05 (~b(z, s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[16893, 31845, 138])).
% 4.86/5.05 tff(31866,plain,
% 4.86/5.05 (r(z, s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[161, 31865])).
% 4.86/5.05 tff(31867,plain,
% 4.86/5.05 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[8358, 31866, 31864])).
% 4.86/5.05 tff(31868,plain,
% 4.86/5.05 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1651, 31867, 31863])).
% 4.86/5.05 tff(31869,plain,
% 4.86/5.05 (r(s(s(s(z))), s(s(s(s(elem!1))))) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31849])).
% 4.86/5.05 tff(31870,plain,
% 4.86/5.05 (r(s(s(elem!1)), s(s(s(s(elem!1))))) <=> r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(symmetry,[status(thm)],[31869])).
% 4.86/5.05 tff(31871,plain,
% 4.86/5.05 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1498, 31863])).
% 4.86/5.05 tff(31872,plain,
% 4.86/5.05 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31850])).
% 4.86/5.05 tff(31873,plain,
% 4.86/5.05 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[30991, 31872])).
% 4.86/5.05 tff(31874,plain,
% 4.86/5.05 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31850])).
% 4.86/5.05 tff(31875,plain,
% 4.86/5.05 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31843, 31874])).
% 4.86/5.05 tff(31876,plain,
% 4.86/5.05 (~b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31512, 31858, 21128, 476, 31845, 31868, 31875, 31873])).
% 4.86/5.05 tff(31877,plain,
% 4.86/5.05 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1724, 31876, 31871])).
% 4.86/5.05 tff(31878,plain,
% 4.86/5.05 (r(s(s(s(z))), s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31877, 31870])).
% 4.86/5.05 tff(31879,plain,
% 4.86/5.05 (~r(z, s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1760, 31878, 426])).
% 4.86/5.05 tff(31880,plain,
% 4.86/5.05 (b(z, s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1698, 31879])).
% 4.86/5.05 tff(31881,plain,
% 4.86/5.05 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31847])).
% 4.86/5.05 tff(31882,plain,
% 4.86/5.05 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31881])).
% 4.86/5.05 tff(31883,plain,
% 4.86/5.05 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[2125, 31882])).
% 4.86/5.05 tff(31884,plain,
% 4.86/5.05 (r(s(s(elem!1)), s(z)) <=> r(s(s(elem!1)), elem!1)),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31847])).
% 4.86/5.05 tff(31885,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(31886,plain,
% 4.86/5.05 (((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(31887,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31886])).
% 4.86/5.05 tff(31888,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.05 inference(transitivity,[status(thm)],[31887, 31885])).
% 4.86/5.05 tff(31889,plain,
% 4.86/5.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.05 inference(quant_inst,[status(thm)],[])).
% 4.86/5.05 tff(31890,plain,
% 4.86/5.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31889, 31888])).
% 4.86/5.05 tff(31891,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31890, 338, 764, 651, 2911, 3484, 3253])).
% 4.86/5.05 tff(31892,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(31893,plain,
% 4.86/5.05 ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31892, 30991])).
% 4.86/5.05 tff(31894,plain,
% 4.86/5.05 (~b(s(s(elem!1)), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31893, 31843, 2911, 651])).
% 4.86/5.05 tff(31895,plain,
% 4.86/5.05 (r(s(s(elem!1)), s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[784, 31894])).
% 4.86/5.05 tff(31896,plain,
% 4.86/5.05 (r(s(s(elem!1)), elem!1)),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31895, 31884])).
% 4.86/5.05 tff(31897,plain,
% 4.86/5.05 (~r(elem!1, s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5975, 31877, 31896])).
% 4.86/5.05 tff(31898,plain,
% 4.86/5.05 (b(elem!1, s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[2297, 31897, 31883])).
% 4.86/5.05 tff(31899,plain,
% 4.86/5.05 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31127, 31855])).
% 4.86/5.05 tff(31900,plain,
% 4.86/5.05 (~(z = elem!1)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31130, 31899])).
% 4.86/5.05 tff(31901,plain,
% 4.86/5.05 (~r(z, s(z))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[28835, 1122, 651, 150])).
% 4.86/5.05 tff(31902,plain,
% 4.86/5.05 (elem!1 = s(z)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[752, 31847])).
% 4.86/5.05 tff(31903,plain,
% 4.86/5.05 (~r(z, elem!1)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[899, 31902, 31901])).
% 4.86/5.05 tff(31904,plain,
% 4.86/5.05 (b(z, elem!1)),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[353, 31903, 31900])).
% 4.86/5.05 tff(31905,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(31906,plain,
% 4.86/5.05 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1))) <=> ((~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(31907,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31906])).
% 4.86/5.05 tff(31908,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.86/5.05 inference(transitivity,[status(thm)],[31907, 31905])).
% 4.86/5.05 tff(31909,plain,
% 4.86/5.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)))),
% 4.86/5.05 inference(quant_inst,[status(thm)],[])).
% 4.86/5.05 tff(31910,plain,
% 4.86/5.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31909, 31908])).
% 4.86/5.05 tff(31911,plain,
% 4.86/5.05 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31910, 338, 31904, 31898, 31875, 31880, 31868])).
% 4.86/5.05 tff(31912,plain,
% 4.86/5.05 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1562, 31911, 31862])).
% 4.86/5.05 tff(31913,plain,
% 4.86/5.05 ((s(z) = s(s(s(elem!1)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31847])).
% 4.86/5.05 tff(31914,plain,
% 4.86/5.05 ((s(z) = s(s(s(elem!1)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.86/5.05 inference(transitivity,[status(thm)],[31913, 1254])).
% 4.86/5.05 tff(31915,plain,
% 4.86/5.05 ((~(s(z) = s(s(s(elem!1))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31914])).
% 4.86/5.05 tff(31916,plain,
% 4.86/5.05 (~(s(s(s(elem!1))) = elem!1)),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[1263, 31915])).
% 4.86/5.05 tff(31917,plain,
% 4.86/5.05 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[1336, 31916])).
% 4.86/5.05 tff(31918,plain,
% 4.86/5.05 (~(s(s(s(s(elem!1)))) = s(elem!1))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[19178, 31917])).
% 4.86/5.05 tff(31919,plain,
% 4.86/5.05 (b(s(elem!1), s(s(elem!1)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6759, 31847, 476])).
% 4.86/5.05 tff(31920,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(31921,plain,
% 4.86/5.05 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1))) <=> ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(31922,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[31921])).
% 4.86/5.05 tff(31923,plain,
% 4.86/5.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.86/5.05 inference(transitivity,[status(thm)],[31922, 31920])).
% 4.86/5.05 tff(31924,plain,
% 4.86/5.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(z, elem!1)))),
% 4.86/5.05 inference(quant_inst,[status(thm)],[])).
% 4.86/5.05 tff(31925,plain,
% 4.86/5.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(z, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[31924, 31923])).
% 4.86/5.05 tff(31926,plain,
% 4.86/5.05 (~b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[31925, 338, 31904, 31898, 31880, 31868, 31919])).
% 4.86/5.05 tff(31927,plain,
% 4.86/5.05 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[17655, 31926, 31918])).
% 4.86/5.06 tff(31928,plain,
% 4.86/5.06 ($false),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[7820, 31927, 31912, 31858])).
% 4.86/5.06 tff(31929,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | b(z, s(s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.06 tff(31930,plain,
% 4.86/5.06 (~r(s(s(elem!1)), z)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31929, 31827, 31817, 31823, 138, 21538, 31740, 31811, 12174])).
% 4.86/5.06 tff(31931,plain,
% 4.86/5.06 (b(s(s(elem!1)), z)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[800, 31930])).
% 4.86/5.06 tff(31932,plain,
% 4.86/5.06 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[881, 31931, 31826])).
% 4.86/5.06 tff(31933,plain,
% 4.86/5.06 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1207, 31932])).
% 4.86/5.06 tff(31934,plain,
% 4.86/5.06 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[28774, 31817, 31805, 31811, 31823])).
% 4.86/5.06 tff(31935,plain,
% 4.86/5.06 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31127, 31934])).
% 4.86/5.06 tff(31936,plain,
% 4.86/5.06 (~(z = elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31130, 31935])).
% 4.86/5.06 tff(31937,plain,
% 4.86/5.06 (~b(z, s(s(s(s(z)))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[3815, 31807, 31740, 2911, 1740])).
% 4.86/5.06 tff(31938,plain,
% 4.86/5.06 (r(z, s(s(s(s(z)))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[391, 31937])).
% 4.86/5.06 tff(31939,plain,
% 4.86/5.06 (~r(z, s(s(z)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[4062, 31807, 71, 31740, 1740])).
% 4.86/5.06 tff(31940,plain,
% 4.86/5.06 (b(z, s(s(z)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[563, 31939])).
% 4.86/5.06 tff(31941,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(31942,plain,
% 4.86/5.06 (((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(31943,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))))),
% 4.86/5.06 inference(monotonicity,[status(thm)],[31942])).
% 4.86/5.06 tff(31944,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 4.86/5.06 inference(transitivity,[status(thm)],[31943, 31941])).
% 4.86/5.06 tff(31945,plain,
% 4.86/5.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 4.86/5.06 inference(quant_inst,[status(thm)],[])).
% 4.86/5.06 tff(31946,plain,
% 4.86/5.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[31945, 31944])).
% 4.86/5.06 tff(31947,plain,
% 4.86/5.06 ($false),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31946, 338, 486, 601, 1740, 475, 2431])).
% 4.86/5.06 tff(31948,plain,((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.06 tff(31949,plain,
% 4.86/5.06 (~b(s(s(z)), s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31948, 31807, 31940, 1740, 31819])).
% 4.86/5.06 tff(31950,plain,
% 4.86/5.06 (r(s(s(z)), s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[472, 31949])).
% 4.86/5.06 tff(31951,plain,
% 4.86/5.06 (~(s(s(elem!1)) = s(s(z)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[10916, 3114])).
% 4.86/5.06 tff(31952,plain,
% 4.86/5.06 (~r(z, s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[12195, 1267, 12173, 878])).
% 4.86/5.06 tff(31953,plain,
% 4.86/5.06 (b(z, s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[161, 31952])).
% 4.86/5.06 tff(31954,plain,
% 4.86/5.06 (~b(s(s(elem!1)), s(s(z)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[22104, 31953, 31819, 31940, 878])).
% 4.86/5.06 tff(31955,plain,
% 4.86/5.06 (r(s(s(elem!1)), s(s(z)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[22190, 31954, 31951])).
% 4.86/5.06 tff(31956,plain,
% 4.86/5.06 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(31957,plain,
% 4.86/5.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.86/5.06 inference(quant_inst,[status(thm)],[])).
% 4.86/5.06 tff(31958,plain,
% 4.86/5.06 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z))))),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[31957, 31956])).
% 4.86/5.06 tff(31959,plain,
% 4.86/5.06 ($false),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31958, 82, 786, 459, 17007])).
% 4.86/5.06 tff(31960,plain,((~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.06 tff(31961,plain,
% 4.86/5.06 (~r(s(s(elem!1)), s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31960, 31955, 31950])).
% 4.86/5.06 tff(31962,plain,
% 4.86/5.06 (b(s(s(elem!1)), s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[784, 31961])).
% 4.86/5.06 tff(31963,plain,
% 4.86/5.06 (~r(s(s(s(s(z)))), elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[11382, 3124, 371])).
% 4.86/5.06 tff(31964,plain,
% 4.86/5.06 (~(s(s(elem!1)) = elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[17488, 177, 31953])).
% 4.86/5.06 tff(31965,plain,
% 4.86/5.06 (~(elem!1 = s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[2015, 31964])).
% 4.86/5.06 tff(31966,plain,
% 4.86/5.06 (~(s(elem!1) = elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[293, 31964])).
% 4.86/5.06 tff(31967,plain,
% 4.86/5.06 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[209, 31964])).
% 4.86/5.06 tff(31968,plain,
% 4.86/5.06 (~b(s(z), s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31778, 764, 651, 2911])).
% 4.86/5.06 tff(31969,plain,
% 4.86/5.06 (r(s(z), s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[743, 31968])).
% 4.86/5.06 tff(31970,plain,
% 4.86/5.06 (~r(s(z), elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[8741, 279, 31969])).
% 4.86/5.06 tff(31971,plain,
% 4.86/5.06 (b(s(z), elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[701, 31970, 20942])).
% 4.86/5.06 tff(31972,plain,
% 4.86/5.06 (~r(elem!1, s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[17360, 279, 31969])).
% 4.86/5.06 tff(31973,plain,
% 4.86/5.06 (b(elem!1, s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[819, 31972, 20943])).
% 4.86/5.06 tff(31974,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(31975,plain,
% 4.86/5.06 (((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(31976,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 4.86/5.06 inference(monotonicity,[status(thm)],[31975])).
% 4.86/5.06 tff(31977,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.86/5.06 inference(transitivity,[status(thm)],[31976, 31974])).
% 4.86/5.06 tff(31978,plain,
% 4.86/5.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.06 inference(quant_inst,[status(thm)],[])).
% 4.86/5.06 tff(31979,plain,
% 4.86/5.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[31978, 31977])).
% 4.86/5.06 tff(31980,plain,
% 4.86/5.06 (~b(s(s(s(s(z)))), elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31979, 338, 31973, 764, 651, 2911, 30991])).
% 4.86/5.06 tff(31981,plain,
% 4.86/5.06 (s(s(s(s(z)))) = elem!1),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1144, 31980, 8418])).
% 4.86/5.06 tff(31982,plain,
% 4.86/5.06 (~(s(s(s(elem!1))) = elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[18369, 31981, 871])).
% 4.86/5.06 tff(31983,plain,
% 4.86/5.06 (~(elem!1 = s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1924, 31982])).
% 4.86/5.06 tff(31984,plain,
% 4.86/5.06 (b(elem!1, s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1946, 17888, 1939])).
% 4.86/5.06 tff(31985,plain,
% 4.86/5.06 (~r(s(s(s(elem!1))), s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[4215, 1294, 721])).
% 4.86/5.06 tff(31986,plain,
% 4.86/5.06 (b(s(s(s(elem!1))), s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1990, 31985])).
% 4.86/5.06 tff(31987,plain,
% 4.86/5.06 ($false),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[17387, 31986, 17891, 706, 831, 31984])).
% 4.86/5.06 tff(31988,plain,((~r(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(elem!1, s(z))) | (elem!1 = s(s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.06 tff(31989,plain,
% 4.86/5.06 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31988, 31971, 31973, 31983, 279, 31969])).
% 4.86/5.06 tff(31990,plain,
% 4.86/5.06 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1292, 31989, 10549])).
% 4.86/5.06 tff(31991,plain,
% 4.86/5.06 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), elem!1)),
% 4.86/5.06 inference(monotonicity,[status(thm)],[31981])).
% 4.86/5.06 tff(31992,plain,
% 4.86/5.06 (b(s(s(elem!1)), elem!1)),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[30991, 31991])).
% 4.86/5.06 tff(31993,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(31994,plain,
% 4.86/5.06 (((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(31995,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))))),
% 4.86/5.06 inference(monotonicity,[status(thm)],[31994])).
% 4.86/5.06 tff(31996,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.06 inference(transitivity,[status(thm)],[31995, 31993])).
% 4.86/5.06 tff(31997,plain,
% 4.86/5.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))),
% 4.86/5.06 inference(quant_inst,[status(thm)],[])).
% 4.86/5.06 tff(31998,plain,
% 4.86/5.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[31997, 31996])).
% 4.86/5.06 tff(31999,plain,
% 4.86/5.06 (~b(z, s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[31998, 338, 31992, 31990, 8722, 31971, 764])).
% 4.86/5.06 tff(32000,plain,
% 4.86/5.06 (r(z, s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1373, 31999])).
% 4.86/5.06 tff(32001,plain,
% 4.86/5.06 (r(s(s(s(s(z)))), z) <=> r(elem!1, z)),
% 4.86/5.06 inference(monotonicity,[status(thm)],[31981])).
% 4.86/5.06 tff(32002,plain,
% 4.86/5.06 (r(elem!1, z)),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[12174, 32001])).
% 4.86/5.06 tff(32003,plain,
% 4.86/5.06 (~r(z, s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[6371, 1950, 802])).
% 4.86/5.06 tff(32004,plain,
% 4.86/5.06 (b(z, s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1373, 32003])).
% 4.86/5.06 tff(32005,plain,
% 4.86/5.06 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[2619, 29556, 2614])).
% 4.86/5.06 tff(32006,plain,
% 4.86/5.06 ($false),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[12264, 32005, 32004, 8722, 6387, 878])).
% 4.86/5.06 tff(32007,plain,((~r(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.06 tff(32008,plain,
% 4.86/5.06 (~r(elem!1, s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[32007, 31990, 32002, 8722, 10550, 878, 279])).
% 4.86/5.06 tff(32009,plain,
% 4.86/5.06 (b(elem!1, s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1946, 32008, 31983])).
% 4.86/5.06 tff(32010,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(32011,plain,
% 4.86/5.06 (((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(32012,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))))),
% 4.86/5.06 inference(monotonicity,[status(thm)],[32011])).
% 4.86/5.06 tff(32013,plain,
% 4.86/5.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.06 inference(transitivity,[status(thm)],[32012, 32010])).
% 4.86/5.06 tff(32014,plain,
% 4.86/5.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))),
% 4.86/5.06 inference(quant_inst,[status(thm)],[])).
% 4.86/5.06 tff(32015,plain,
% 4.86/5.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z)))),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[32014, 32013])).
% 4.86/5.06 tff(32016,plain,
% 4.86/5.06 (~b(s(s(s(elem!1))), z)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[32015, 338, 31992, 31990, 8722, 31971, 764])).
% 4.86/5.06 tff(32017,plain,
% 4.86/5.06 (r(s(s(s(elem!1))), z)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1387, 32016])).
% 4.86/5.06 tff(32018,plain,
% 4.86/5.06 (~r(s(s(s(elem!1))), elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[2157, 32017, 234])).
% 4.86/5.06 tff(32019,plain,
% 4.86/5.06 (b(s(s(s(elem!1))), elem!1)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[2162, 32018, 31982])).
% 4.86/5.06 tff(32020,plain,
% 4.86/5.06 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[23227, 32019, 31992, 31990, 32009])).
% 4.86/5.06 tff(32021,plain,
% 4.86/5.06 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[2619, 32020, 10550])).
% 4.86/5.06 tff(32022,plain,
% 4.86/5.06 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1127, 150, 12174])).
% 4.86/5.06 tff(32023,plain,
% 4.86/5.06 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1011, 32022])).
% 4.86/5.06 tff(32024,plain,
% 4.86/5.06 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[10701, 32023, 2605])).
% 4.86/5.06 tff(32025,plain,
% 4.86/5.06 (~(s(s(s(z))) = s(elem!1))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[10692, 32024])).
% 4.86/5.06 tff(32026,plain,
% 4.86/5.06 (b(z, s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[25566, 2605, 7050])).
% 4.86/5.06 tff(32027,plain,
% 4.86/5.06 (b(z, s(s(s(s(z)))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[28970, 1267, 8722, 1122, 2605, 137, 721, 1729, 651, 138, 6387])).
% 4.86/5.06 tff(32028,plain,
% 4.86/5.06 (~b(s(z), z)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[3815, 32027, 651, 28837, 28928])).
% 4.86/5.06 tff(32029,plain,
% 4.86/5.06 (r(s(z), z)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[26, 32028])).
% 4.86/5.06 tff(32030,plain,
% 4.86/5.06 (~r(s(z), s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[414, 32029, 150])).
% 4.86/5.06 tff(32031,plain,
% 4.86/5.06 (b(s(z), s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[424, 32030])).
% 4.86/5.06 tff(32032,plain,
% 4.86/5.06 ($false),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[23689, 338, 28837, 32031, 28811, 651, 28928, 32027])).
% 4.86/5.06 tff(32033,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | b(s(s(elem!1)), s(elem!1)) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | r(z, elem!1) | b(z, s(s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.06 tff(32034,plain,
% 4.86/5.06 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[32033, 651, 32026, 12174, 2605, 137, 721, 1729, 138, 7059])).
% 4.86/5.06 tff(32035,plain,
% 4.86/5.06 (~(elem!1 = s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[696, 28816])).
% 4.86/5.06 tff(32036,plain,
% 4.86/5.06 ((~(elem!1 = s(s(s(z))))) <=> (~(s(s(s(z))) = elem!1))),
% 4.86/5.06 inference(monotonicity,[status(thm)],[1051])).
% 4.86/5.06 tff(32037,plain,
% 4.86/5.06 (~(elem!1 = s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1046, 4712, 138])).
% 4.86/5.06 tff(32038,plain,
% 4.86/5.06 (~(s(s(s(z))) = elem!1)),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[32037, 32036])).
% 4.86/5.06 tff(32039,plain,
% 4.86/5.06 (~r(s(s(s(z))), z)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[28492, 405, 12174])).
% 4.86/5.06 tff(32040,plain,
% 4.86/5.06 (b(s(s(s(z))), z)),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[135, 32039])).
% 4.86/5.06 tff(32041,plain,
% 4.86/5.06 (~b(s(s(s(z))), s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[12516, 405, 12174, 150])).
% 4.86/5.06 tff(32042,plain,
% 4.86/5.06 (r(s(s(s(z))), s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[437, 32041])).
% 4.86/5.06 tff(32043,plain,
% 4.86/5.06 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1127, 164, 12174])).
% 4.86/5.06 tff(32044,plain,
% 4.86/5.06 (b(s(s(s(s(z)))), s(s(s(z))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[1011, 32043])).
% 4.86/5.06 tff(32045,plain,
% 4.86/5.06 (b(elem!1, s(z))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[819, 28877, 720])).
% 4.86/5.06 tff(32046,plain,
% 4.86/5.06 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[26532, 457, 651, 2911, 32044])).
% 4.86/5.07 tff(32047,plain,
% 4.86/5.07 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[689, 32046])).
% 4.86/5.07 tff(32048,plain,
% 4.86/5.07 (~r(elem!1, s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[17914, 1146, 32047])).
% 4.86/5.07 tff(32049,plain,
% 4.86/5.07 (~r(elem!1, z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[2375, 82, 164, 1146])).
% 4.86/5.07 tff(32050,plain,
% 4.86/5.07 (b(elem!1, z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[846, 32049, 719])).
% 4.86/5.07 tff(32051,plain,
% 4.86/5.07 (b(elem!1, z) <=> b(s(s(s(s(z)))), z)),
% 4.86/5.07 inference(monotonicity,[status(thm)],[1059])).
% 4.86/5.07 tff(32052,plain,
% 4.86/5.07 (b(s(s(s(s(z)))), z) <=> b(elem!1, z)),
% 4.86/5.07 inference(symmetry,[status(thm)],[32051])).
% 4.86/5.07 tff(32053,plain,
% 4.86/5.07 ((~b(s(s(s(s(z)))), z)) <=> (~b(elem!1, z))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32052])).
% 4.86/5.07 tff(32054,plain,
% 4.86/5.07 (~b(elem!1, z)),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[12173, 32053])).
% 4.86/5.07 tff(32055,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[1131, 32054])).
% 4.86/5.07 tff(32056,plain,((~(elem!1 = s(s(s(s(z)))))) | (~b(elem!1, z)) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(32057,plain,
% 4.86/5.07 (~(elem!1 = s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32056, 32050, 12173])).
% 4.86/5.07 tff(32058,plain,
% 4.86/5.07 (b(elem!1, s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[1094, 32057, 32048])).
% 4.86/5.07 tff(32059,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32060,plain,
% 4.86/5.07 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32061,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32060])).
% 4.86/5.07 tff(32062,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.07 inference(transitivity,[status(thm)],[32061, 32059])).
% 4.86/5.07 tff(32063,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))))),
% 4.86/5.07 inference(quant_inst,[status(thm)],[])).
% 4.86/5.07 tff(32064,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[32063, 32062])).
% 4.86/5.07 tff(32065,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32064, 338, 32058, 457, 32045, 32044, 651, 2911])).
% 4.86/5.07 tff(32066,plain,((~r(elem!1, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | b(s(s(s(s(z)))), z) | (elem!1 = z) | (~r(z, s(s(s(z))))) | (elem!1 = s(z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(32067,plain,
% 4.86/5.07 (~r(elem!1, s(s(s(z))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32066, 719, 651, 14535, 12173, 1049, 150, 32035, 32042])).
% 4.86/5.07 tff(32068,plain,
% 4.86/5.07 (b(elem!1, s(s(s(z))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[1160, 32067, 32037])).
% 4.86/5.07 tff(32069,plain,
% 4.86/5.07 (~b(elem!1, s(s(elem!1)))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[8965, 1131, 8722, 1021, 878])).
% 4.86/5.07 tff(32070,plain,
% 4.86/5.07 (r(elem!1, s(s(elem!1)))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[321, 32069, 137])).
% 4.86/5.07 tff(32071,plain,
% 4.86/5.07 (~r(elem!1, s(z))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[9071, 82, 32070, 721])).
% 4.86/5.07 tff(32072,plain,
% 4.86/5.07 (b(elem!1, s(z))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[819, 32071, 720])).
% 4.86/5.07 tff(32073,plain,
% 4.86/5.07 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[26532, 457, 651, 2911, 987])).
% 4.86/5.07 tff(32074,plain,
% 4.86/5.07 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[689, 32073])).
% 4.86/5.07 tff(32075,plain,
% 4.86/5.07 (~(elem!1 = s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32056, 1131, 12173])).
% 4.86/5.07 tff(32076,plain,
% 4.86/5.07 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32077,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32076])).
% 4.86/5.07 tff(32078,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.07 inference(transitivity,[status(thm)],[32077, 32059])).
% 4.86/5.07 tff(32079,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.07 inference(quant_inst,[status(thm)],[])).
% 4.86/5.07 tff(32080,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[32079, 32078])).
% 4.86/5.07 tff(32081,plain,
% 4.86/5.07 (~b(elem!1, s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32080, 338, 457, 32072, 987, 651, 2911])).
% 4.86/5.07 tff(32082,plain,
% 4.86/5.07 (r(elem!1, s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[1094, 32081, 32075])).
% 4.86/5.07 tff(32083,plain,
% 4.86/5.07 (~r(s(s(s(z))), elem!1)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[1101, 82, 32082, 32074])).
% 4.86/5.07 tff(32084,plain,
% 4.86/5.07 (b(s(s(s(z))), elem!1)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[1110, 32083, 1103])).
% 4.86/5.07 tff(32085,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32086,plain,
% 4.86/5.07 (((~b(z, elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z)))) <=> ((~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32087,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1))))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32086])).
% 4.86/5.07 tff(32088,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)))),
% 4.86/5.07 inference(transitivity,[status(thm)],[32087, 32085])).
% 4.86/5.07 tff(32089,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))))),
% 4.86/5.07 inference(quant_inst,[status(thm)],[])).
% 4.86/5.07 tff(32090,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1))),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[32089, 32088])).
% 4.86/5.07 tff(32091,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32090, 338, 1021, 457, 1741, 2381, 32084, 32072])).
% 4.86/5.07 tff(32092,plain,((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (s(s(s(z))) = elem!1) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (elem!1 = s(z)) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(s(s(z)))), z) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(32093,plain,
% 4.86/5.07 (~b(elem!1, z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32092, 32068, 1049, 32040, 4712, 32038, 32023, 651, 14535, 32035, 721, 137, 12173, 8722, 17356])).
% 4.86/5.07 tff(32094,plain,
% 4.86/5.07 (r(elem!1, z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[846, 32093, 719])).
% 4.86/5.07 tff(32095,plain,
% 4.86/5.07 (~r(z, s(z))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[28835, 651, 150, 12174])).
% 4.86/5.07 tff(32096,plain,
% 4.86/5.07 (b(z, s(z))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[403, 32095])).
% 4.86/5.07 tff(32097,plain,
% 4.86/5.07 (~b(elem!1, z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32092, 2381, 457, 32040, 1021, 1103, 987, 651, 14535, 720, 721, 137, 12173, 8722, 17356])).
% 4.86/5.07 tff(32098,plain,
% 4.86/5.07 (r(elem!1, z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[846, 32097, 719])).
% 4.86/5.07 tff(32099,plain,
% 4.86/5.07 (~r(elem!1, s(z))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[811, 32098, 405])).
% 4.86/5.07 tff(32100,plain,
% 4.86/5.07 (b(elem!1, s(z))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[819, 32099, 720])).
% 4.86/5.07 tff(32101,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32102,plain,
% 4.86/5.07 (((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z)))) <=> ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32103,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1))))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32102])).
% 4.86/5.07 tff(32104,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)))),
% 4.86/5.07 inference(transitivity,[status(thm)],[32103, 32101])).
% 4.86/5.07 tff(32105,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))),
% 4.86/5.07 inference(quant_inst,[status(thm)],[])).
% 4.86/5.07 tff(32106,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(z), elem!1))),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[32105, 32104])).
% 4.86/5.07 tff(32107,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32106, 338, 1021, 706, 486, 457, 2381, 32100])).
% 4.86/5.07 tff(32108,plain,((~b(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (elem!1 = s(z)) | (~r(s(z), z)) | (elem!1 = z) | (s(s(s(z))) = elem!1) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(s(s(z)))), z) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(32109,plain,
% 4.86/5.07 (~b(s(z), elem!1)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32108, 32068, 4712, 32096, 1049, 32035, 405, 719, 32038, 32023, 651, 721, 137, 12173, 8722])).
% 4.86/5.07 tff(32110,plain,
% 4.86/5.07 (r(s(z), elem!1)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[701, 32109, 28816])).
% 4.86/5.07 tff(32111,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[828, 32110, 32094, 405])).
% 4.86/5.07 tff(32112,plain,((elem!1 = z) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(s(s(z)))), z) | (~b(z, s(s(elem!1)))) | b(z, s(s(s(z)))) | r(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(32113,plain,
% 4.86/5.07 (elem!1 = z),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32112, 405, 651, 721, 137, 12173, 8722, 138, 1729])).
% 4.86/5.07 tff(32114,plain,
% 4.86/5.07 (s(elem!1) = s(z)),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32113])).
% 4.86/5.07 tff(32115,plain,
% 4.86/5.07 (s(s(elem!1)) = s(s(z))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32114])).
% 4.86/5.07 tff(32116,plain,
% 4.86/5.07 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(z)))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32115])).
% 4.86/5.07 tff(32117,plain,
% 4.86/5.07 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[14568, 163, 32074])).
% 4.86/5.07 tff(32118,plain,
% 4.86/5.07 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[368, 32117, 363])).
% 4.86/5.07 tff(32119,plain,
% 4.86/5.07 (~r(s(s(elem!1)), s(z))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[14054, 163, 427])).
% 4.86/5.07 tff(32120,plain,
% 4.86/5.07 (b(s(s(elem!1)), s(z))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[784, 32119])).
% 4.86/5.07 tff(32121,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32122,plain,
% 4.86/5.07 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.07 inference(rewrite,[status(thm)],[])).
% 4.86/5.07 tff(32123,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32122])).
% 4.86/5.07 tff(32124,plain,
% 4.86/5.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.07 inference(transitivity,[status(thm)],[32123, 32121])).
% 4.86/5.07 tff(32125,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.07 inference(quant_inst,[status(thm)],[])).
% 4.86/5.07 tff(32126,plain,
% 4.86/5.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[32125, 32124])).
% 4.86/5.07 tff(32127,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32126, 338, 457, 32120, 987, 651, 2911, 32118])).
% 4.86/5.07 tff(32128,plain,((~r(s(s(s(z))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(32129,plain,
% 4.86/5.07 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32128, 1049, 32023, 651, 14535, 363, 32042])).
% 4.86/5.07 tff(32130,plain,
% 4.86/5.07 (b(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[6754, 32129, 28815])).
% 4.86/5.07 tff(32131,plain,
% 4.86/5.07 (b(s(s(s(z))), s(s(z)))),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[32130, 32116])).
% 4.86/5.07 tff(32132,plain,
% 4.86/5.07 (b(z, s(s(elem!1))) <=> b(z, s(s(z)))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[32115])).
% 4.86/5.07 tff(32133,plain,
% 4.86/5.07 (b(z, s(s(z)))),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[8722, 32132])).
% 4.86/5.07 tff(32134,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[26422, 338, 32133, 1049, 32040, 32131, 32023, 14535])).
% 4.86/5.07 tff(32135,plain,((~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(s(s(s(z)))), z) | b(z, s(s(s(z)))) | r(z, elem!1) | (s(s(elem!1)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(32136,plain,
% 4.86/5.07 (~r(s(z), z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32135, 651, 32026, 721, 137, 12173, 138, 1729, 32024])).
% 4.86/5.07 tff(32137,plain,
% 4.86/5.07 (b(s(z), z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[26, 32136])).
% 4.86/5.07 tff(32138,plain,
% 4.86/5.07 (~r(z, s(elem!1))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[9003, 787, 264])).
% 4.86/5.07 tff(32139,plain,
% 4.86/5.07 (b(z, s(elem!1))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[1615, 32138])).
% 4.86/5.07 tff(32140,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[4302, 32139, 12433, 486, 1740, 3083])).
% 4.86/5.07 tff(32141,plain,((~r(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(32142,plain,
% 4.86/5.07 (~r(s(s(elem!1)), z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[32141, 28868, 1740, 28837, 264])).
% 4.86/5.07 tff(32143,plain,
% 4.86/5.07 (b(s(s(elem!1)), z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[800, 32142])).
% 4.86/5.07 tff(32144,plain,
% 4.86/5.07 (r(elem!1, z)),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[18765, 32143, 721, 8722, 137, 28816, 1740, 28837, 1729, 719])).
% 4.86/5.07 tff(32145,plain,
% 4.86/5.07 (~r(elem!1, s(s(s(s(z)))))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[3590, 82, 32144, 1122])).
% 4.86/5.07 tff(32146,plain,
% 4.86/5.08 (b(s(s(s(z))), z)),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[135, 3398])).
% 4.86/5.08 tff(32147,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32148,plain,
% 4.86/5.08 (((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32149,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z)))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32148])).
% 4.86/5.08 tff(32150,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.08 inference(transitivity,[status(thm)],[32149, 32147])).
% 4.86/5.08 tff(32151,plain,
% 4.86/5.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 4.86/5.08 inference(quant_inst,[status(thm)],[])).
% 4.86/5.08 tff(32152,plain,
% 4.86/5.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z)))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32151, 32150])).
% 4.86/5.08 tff(32153,plain,
% 4.86/5.08 ($false),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32152, 338, 1021, 28873, 486, 32146, 1740, 458])).
% 4.86/5.08 tff(32154,plain,((~r(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (s(z) = elem!1) | (~r(elem!1, z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.08 tff(32155,plain,
% 4.86/5.08 (~r(elem!1, s(s(s(z))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32154, 458, 486, 1740, 1021, 691, 802, 406])).
% 4.86/5.08 tff(32156,plain,
% 4.86/5.08 (b(elem!1, s(s(s(z))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[1160, 32155, 1050])).
% 4.86/5.08 tff(32157,plain,
% 4.86/5.08 (r(s(z), s(s(s(z)))) <=> r(s(z), elem!1)),
% 4.86/5.08 inference(monotonicity,[status(thm)],[8239])).
% 4.86/5.08 tff(32158,plain,
% 4.86/5.08 (r(s(z), elem!1) <=> r(s(z), s(s(s(z))))),
% 4.86/5.08 inference(symmetry,[status(thm)],[32157])).
% 4.86/5.08 tff(32159,plain,
% 4.86/5.08 ((~r(s(z), elem!1)) <=> (~r(s(z), s(s(s(z)))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32158])).
% 4.86/5.08 tff(32160,plain,
% 4.86/5.08 (b(elem!1, s(s(s(z)))) <=> b(elem!1, elem!1)),
% 4.86/5.08 inference(monotonicity,[status(thm)],[8239])).
% 4.86/5.08 tff(32161,plain,
% 4.86/5.08 (b(elem!1, elem!1) <=> b(elem!1, s(s(s(z))))),
% 4.86/5.08 inference(symmetry,[status(thm)],[32160])).
% 4.86/5.08 tff(32162,plain,
% 4.86/5.08 ((~b(elem!1, elem!1)) <=> (~b(elem!1, s(s(s(z)))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32161])).
% 4.86/5.08 tff(32163,plain,
% 4.86/5.08 (~b(elem!1, s(s(s(z))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[7551, 32162])).
% 4.86/5.08 tff(32164,plain,
% 4.86/5.08 ($false),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[2381, 32163])).
% 4.86/5.08 tff(32165,plain,((~(s(s(s(s(z)))) = s(elem!1))) | (~b(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.08 tff(32166,plain,
% 4.86/5.08 (~b(elem!1, s(s(s(z))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32165, 8237])).
% 4.86/5.08 tff(32167,plain,
% 4.86/5.08 (r(elem!1, s(s(s(z))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[1160, 32166, 1050])).
% 4.86/5.08 tff(32168,plain,
% 4.86/5.08 (~r(s(z), elem!1)),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[3345, 32167, 406])).
% 4.86/5.08 tff(32169,plain,
% 4.86/5.08 (~r(s(z), s(s(s(z))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32168, 32159])).
% 4.86/5.08 tff(32170,plain,
% 4.86/5.08 ($false),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[406, 32169])).
% 4.86/5.08 tff(32171,plain,((~(s(s(s(s(z)))) = s(elem!1))) | (~r(s(z), s(s(s(z))))) | (elem!1 = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.08 tff(32172,plain,
% 4.86/5.08 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32171, 406, 1050])).
% 4.86/5.08 tff(32173,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32174,plain,
% 4.86/5.08 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))) <=> ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32175,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32174])).
% 4.86/5.08 tff(32176,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.08 inference(transitivity,[status(thm)],[32175, 32173])).
% 4.86/5.08 tff(32177,plain,
% 4.86/5.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.08 inference(quant_inst,[status(thm)],[])).
% 4.86/5.08 tff(32178,plain,
% 4.86/5.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32177, 32176])).
% 4.86/5.08 tff(32179,plain,
% 4.86/5.08 (~b(elem!1, s(s(s(s(z)))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32178, 338, 458, 2381, 987, 651, 28488])).
% 4.86/5.08 tff(32180,plain,
% 4.86/5.08 (elem!1 = s(s(s(s(z))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[1094, 32179, 8415])).
% 4.86/5.08 tff(32181,plain,
% 4.86/5.08 (s(elem!1) = s(s(s(s(s(z)))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32180])).
% 4.86/5.08 tff(32182,plain,
% 4.86/5.08 (s(s(s(s(s(z))))) = s(elem!1)),
% 4.86/5.08 inference(symmetry,[status(thm)],[32181])).
% 4.86/5.08 tff(32183,plain,
% 4.86/5.08 (b(s(s(s(s(s(z))))), z) <=> b(s(elem!1), z)),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32182])).
% 4.86/5.08 tff(32184,plain,
% 4.86/5.08 (b(s(elem!1), z) <=> b(s(s(s(s(s(z))))), z)),
% 4.86/5.08 inference(symmetry,[status(thm)],[32183])).
% 4.86/5.08 tff(32185,plain,
% 4.86/5.08 (s(elem!1) = s(s(s(s(s(z)))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[1059])).
% 4.86/5.08 tff(32186,plain,
% 4.86/5.08 (s(s(s(s(s(z))))) = s(elem!1)),
% 4.86/5.08 inference(symmetry,[status(thm)],[32185])).
% 4.86/5.08 tff(32187,plain,
% 4.86/5.08 ((s(s(s(s(s(z))))) = s(s(s(s(z))))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32186])).
% 4.86/5.08 tff(32188,plain,
% 4.86/5.08 ((s(s(s(s(s(z))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 4.86/5.08 inference(transitivity,[status(thm)],[32187, 3629])).
% 4.86/5.08 tff(32189,plain,
% 4.86/5.08 ((s(s(s(s(z)))) = s(elem!1)) <=> (s(s(s(s(s(z))))) = s(s(s(s(z)))))),
% 4.86/5.08 inference(symmetry,[status(thm)],[32188])).
% 4.86/5.08 tff(32190,plain,
% 4.86/5.08 ((~(s(s(s(s(z)))) = s(elem!1))) <=> (~(s(s(s(s(s(z))))) = s(s(s(s(z))))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32189])).
% 4.86/5.08 tff(32191,plain,
% 4.86/5.08 (~(s(s(s(s(s(z))))) = s(s(s(s(z)))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[4864, 32190])).
% 4.86/5.08 tff(32192,plain,
% 4.86/5.08 (r(s(s(s(s(s(z))))), z) <=> r(s(elem!1), z)),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32186])).
% 4.86/5.08 tff(32193,plain,
% 4.86/5.08 (r(s(elem!1), z) <=> r(s(s(s(s(s(z))))), z)),
% 4.86/5.08 inference(symmetry,[status(thm)],[32192])).
% 4.86/5.08 tff(32194,plain,
% 4.86/5.08 (r(s(s(s(s(s(z))))), z)),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[1815, 32193])).
% 4.86/5.08 tff(32195,plain,
% 4.86/5.08 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32196,plain,
% 4.86/5.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.86/5.08 inference(quant_inst,[status(thm)],[])).
% 4.86/5.08 tff(32197,plain,
% 4.86/5.08 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32196, 32195])).
% 4.86/5.08 tff(32198,plain,
% 4.86/5.08 ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32197, 82, 1122])).
% 4.86/5.08 tff(32199,plain,
% 4.86/5.08 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32198, 32194])).
% 4.86/5.08 tff(32200,plain,
% 4.86/5.08 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(s(s(z))))) | b(s(s(s(s(s(z))))), s(s(s(s(z))))) | r(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(s(s(z))))) | b(s(s(s(s(s(z))))), s(s(s(s(z))))) | r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32201,plain,
% 4.86/5.08 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(s(s(z))))) | b(s(s(s(s(s(z))))), s(s(s(s(z))))) | r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.86/5.08 inference(quant_inst,[status(thm)],[])).
% 4.86/5.08 tff(32202,plain,
% 4.86/5.08 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(s(s(z))))) | b(s(s(s(s(s(z))))), s(s(s(s(z))))) | r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32201, 32200])).
% 4.86/5.08 tff(32203,plain,
% 4.86/5.08 ((s(s(s(s(s(z))))) = s(s(s(s(z))))) | b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32202, 21, 32199])).
% 4.86/5.08 tff(32204,plain,
% 4.86/5.08 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32203, 32191])).
% 4.86/5.08 tff(32205,plain,
% 4.86/5.08 ((s(s(s(s(s(z))))) = s(s(s(z)))) <=> (s(elem!1) = s(s(s(z))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32186])).
% 4.86/5.08 tff(32206,plain,
% 4.86/5.08 ((s(s(s(s(s(z))))) = s(s(s(z)))) <=> (s(s(s(z))) = s(elem!1))),
% 4.86/5.08 inference(transitivity,[status(thm)],[32205, 3686])).
% 4.86/5.08 tff(32207,plain,
% 4.86/5.08 ((s(s(s(z))) = s(elem!1)) <=> (s(s(s(s(s(z))))) = s(s(s(z))))),
% 4.86/5.08 inference(symmetry,[status(thm)],[32206])).
% 4.86/5.08 tff(32208,plain,
% 4.86/5.08 ((~(s(s(s(z))) = s(elem!1))) <=> (~(s(s(s(s(s(z))))) = s(s(s(z)))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32207])).
% 4.86/5.08 tff(32209,plain,
% 4.86/5.08 (~(s(s(s(s(s(z))))) = s(s(s(z))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[3993, 32208])).
% 4.86/5.08 tff(32210,plain,
% 4.86/5.08 (r(s(s(s(s(s(z))))), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32186])).
% 4.86/5.08 tff(32211,plain,
% 4.86/5.08 (r(s(elem!1), s(s(s(z)))) <=> r(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.86/5.08 inference(symmetry,[status(thm)],[32210])).
% 4.86/5.08 tff(32212,plain,
% 4.86/5.08 ((~r(s(elem!1), s(s(s(z))))) <=> (~r(s(s(s(s(s(z))))), s(s(s(z)))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32211])).
% 4.86/5.08 tff(32213,plain,
% 4.86/5.08 (~r(s(elem!1), s(s(s(z))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[20815, 1815, 426])).
% 4.86/5.08 tff(32214,plain,
% 4.86/5.08 (~r(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32213, 32212])).
% 4.86/5.08 tff(32215,plain,
% 4.86/5.08 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(s(z)))) | b(s(s(s(s(s(z))))), s(s(s(z)))) | r(s(s(s(s(s(z))))), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(s(z)))) | b(s(s(s(s(s(z))))), s(s(s(z)))) | r(s(s(s(s(s(z))))), s(s(s(z)))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32216,plain,
% 4.86/5.08 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(s(z)))) | b(s(s(s(s(s(z))))), s(s(s(z)))) | r(s(s(s(s(s(z))))), s(s(s(z)))))),
% 4.86/5.08 inference(quant_inst,[status(thm)],[])).
% 4.86/5.08 tff(32217,plain,
% 4.86/5.08 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(s(z)))) | b(s(s(s(s(s(z))))), s(s(s(z)))) | r(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 4.86/5.08 tff(32218,plain,
% 4.86/5.08 ((s(s(s(s(s(z))))) = s(s(s(z)))) | b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32217, 21, 32214])).
% 4.86/5.08 tff(32219,plain,
% 4.86/5.08 (b(s(s(s(s(s(z))))), s(s(s(z))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32218, 32209])).
% 4.86/5.08 tff(32220,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32221,plain,
% 4.86/5.08 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32222,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32221])).
% 4.86/5.08 tff(32223,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.86/5.08 inference(transitivity,[status(thm)],[32222, 32220])).
% 4.86/5.08 tff(32224,plain,
% 4.86/5.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.86/5.08 inference(quant_inst,[status(thm)],[])).
% 4.86/5.08 tff(32225,plain,
% 4.86/5.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32224, 32223])).
% 4.86/5.08 tff(32226,plain,
% 4.86/5.08 ($false),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32225, 338, 458, 987, 651, 28488, 32219, 32204])).
% 4.86/5.08 tff(32227,plain,((~r(s(elem!1), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(elem!1)) | (~(elem!1 = s(s(s(s(z)))))) | (s(s(s(z))) = s(elem!1)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.08 tff(32228,plain,
% 4.86/5.08 (~r(s(elem!1), z)),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32227, 32180, 987, 651, 4864, 458, 3993, 1122, 426])).
% 4.86/5.08 tff(32229,plain,
% 4.86/5.08 (b(s(elem!1), z)),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[1812, 32228])).
% 4.86/5.08 tff(32230,plain,
% 4.86/5.08 (b(s(s(s(s(s(z))))), z)),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32229, 32184])).
% 4.86/5.08 tff(32231,plain,
% 4.86/5.08 (b(s(z), s(s(s(s(s(z)))))) <=> b(s(z), s(elem!1))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32182])).
% 4.86/5.08 tff(32232,plain,
% 4.86/5.08 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(s(s(z))))))),
% 4.86/5.08 inference(symmetry,[status(thm)],[32231])).
% 4.86/5.08 tff(32233,plain,
% 4.86/5.08 (b(s(z), s(s(s(s(s(z))))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[3083, 32232])).
% 4.86/5.08 tff(32234,plain,
% 4.86/5.08 (b(z, s(s(s(s(z)))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[16535, 32180, 1021])).
% 4.86/5.08 tff(32235,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32236,plain,
% 4.86/5.08 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 4.86/5.08 inference(rewrite,[status(thm)],[])).
% 4.86/5.08 tff(32237,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 4.86/5.08 inference(monotonicity,[status(thm)],[32236])).
% 4.86/5.08 tff(32238,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 4.86/5.08 inference(transitivity,[status(thm)],[32237, 32235])).
% 4.86/5.08 tff(32239,plain,
% 4.86/5.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 4.86/5.08 inference(quant_inst,[status(thm)],[])).
% 4.86/5.08 tff(32240,plain,
% 4.86/5.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 4.86/5.08 inference(modus_ponens,[status(thm)],[32239, 32238])).
% 4.86/5.08 tff(32241,plain,
% 4.86/5.08 ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32240, 338, 8722, 1740, 32234, 3484])).
% 4.86/5.08 tff(32242,plain,
% 4.86/5.08 ($false),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32241, 32233, 32230])).
% 4.86/5.08 tff(32243,plain,((~r(s(s(s(z))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(elem!1)) | (~b(s(s(s(z))), s(z))) | (s(s(s(z))) = s(elem!1)) | (~r(s(s(s(s(z)))), z)) | (~b(z, elem!1)) | r(elem!1, s(s(s(s(z))))) | (~b(elem!1, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.08 tff(32244,plain,
% 4.86/5.08 (~r(s(s(s(z))), z)),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[32243, 458, 1740, 3484, 3083, 987, 651, 32172, 8722, 3993, 1122, 1021, 8414, 32156])).
% 4.86/5.08 tff(32245,plain,
% 4.86/5.08 (b(s(s(s(z))), z)),
% 4.86/5.08 inference(unit_resolution,[status(thm)],[135, 32244])).
% 4.86/5.08 tff(32246,plain,
% 4.86/5.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32247,plain,
% 4.86/5.09 (((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32248,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32247])).
% 4.86/5.09 tff(32249,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(transitivity,[status(thm)],[32248, 32246])).
% 4.86/5.09 tff(32250,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(quant_inst,[status(thm)],[])).
% 4.86/5.09 tff(32251,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[32250, 32249])).
% 4.86/5.09 tff(32252,plain,
% 4.86/5.09 (~b(elem!1, s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32251, 338, 486, 32245, 458, 32156, 987])).
% 4.86/5.09 tff(32253,plain,
% 4.86/5.09 (elem!1 = s(s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1094, 32252, 8414])).
% 4.86/5.09 tff(32254,plain,
% 4.86/5.09 (b(z, s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[16535, 32253, 1021])).
% 4.86/5.09 tff(32255,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32256,plain,
% 4.86/5.09 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32257,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32256])).
% 4.86/5.09 tff(32258,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.86/5.09 inference(transitivity,[status(thm)],[32257, 32255])).
% 4.86/5.09 tff(32259,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.09 inference(quant_inst,[status(thm)],[])).
% 4.86/5.09 tff(32260,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[32259, 32258])).
% 4.86/5.09 tff(32261,plain,
% 4.86/5.09 ($false),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32260, 338, 8722, 32245, 1740, 458, 32254, 3484])).
% 4.86/5.09 tff(32262,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (s(s(s(z))) = s(elem!1)) | (~r(s(s(s(s(z)))), z)) | (elem!1 = s(s(s(z)))) | (s(z) = elem!1) | (~r(elem!1, z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.09 tff(32263,plain,
% 4.86/5.09 (~b(s(s(s(z))), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32262, 406, 1740, 3484, 1021, 486, 987, 3083, 651, 3993, 1122, 1050, 20942, 802, 8722])).
% 4.86/5.09 tff(32264,plain,
% 4.86/5.09 (r(s(s(s(z))), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[437, 32263])).
% 4.86/5.09 tff(32265,plain,
% 4.86/5.09 (~r(s(s(s(s(z)))), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[28941, 802, 1122])).
% 4.86/5.09 tff(32266,plain,
% 4.86/5.09 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[3708, 32264, 108])).
% 4.86/5.09 tff(32267,plain,
% 4.86/5.09 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[689, 32266])).
% 4.86/5.09 tff(32268,plain,
% 4.86/5.09 (b(elem!1, s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1094, 2444, 8415])).
% 4.86/5.09 tff(32269,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32270,plain,
% 4.86/5.09 (((~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z))) <=> ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32271,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32270])).
% 4.86/5.09 tff(32272,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(transitivity,[status(thm)],[32271, 32269])).
% 4.86/5.09 tff(32273,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(z))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))),
% 4.86/5.09 inference(quant_inst,[status(thm)],[])).
% 4.86/5.09 tff(32274,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(elem!1, s(z))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[32273, 32272])).
% 4.86/5.09 tff(32275,plain,
% 4.86/5.09 ($false),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32274, 338, 1021, 28873, 3918, 1740, 28878, 651])).
% 4.86/5.09 tff(32276,plain,((~r(elem!1, s(s(s(z))))) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (s(z) = elem!1) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.09 tff(32277,plain,
% 4.86/5.09 (~r(elem!1, s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32276, 32268, 1021, 1740, 651, 691, 427, 406])).
% 4.86/5.09 tff(32278,plain,
% 4.86/5.09 (b(elem!1, s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1160, 32277, 1050])).
% 4.86/5.09 tff(32279,plain,
% 4.86/5.09 (~(s(s(s(z))) = elem!1)),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[1050, 32036])).
% 4.86/5.09 tff(32280,plain,
% 4.86/5.09 (~b(s(z), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[16751, 32278, 1740, 1021, 32268, 539])).
% 4.86/5.09 tff(32281,plain,
% 4.86/5.09 (r(s(z), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[701, 32280, 691])).
% 4.86/5.09 tff(32282,plain,
% 4.86/5.09 (~r(s(s(s(z))), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[12500, 32281, 427])).
% 4.86/5.09 tff(32283,plain,
% 4.86/5.09 (b(s(s(s(z))), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1110, 32282, 32279])).
% 4.86/5.09 tff(32284,plain,
% 4.86/5.09 (~b(s(s(s(s(z)))), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[2389, 32283, 987, 32278, 539])).
% 4.86/5.09 tff(32285,plain,
% 4.86/5.09 (s(s(s(s(z)))) = elem!1),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1144, 32284, 8418])).
% 4.86/5.09 tff(32286,plain,
% 4.86/5.09 (elem!1 = s(s(s(s(z))))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[32285, 139])).
% 4.86/5.09 tff(32287,plain,
% 4.86/5.09 ($false),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[2444, 32286])).
% 4.86/5.09 tff(32288,plain,((elem!1 = s(s(s(s(z))))) | r(s(s(s(s(z)))), elem!1) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (s(z) = elem!1) | (~b(s(z), z)) | (~b(z, elem!1)) | (elem!1 = s(s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | r(elem!1, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.09 tff(32289,plain,
% 4.86/5.09 (elem!1 = s(s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32288, 32267, 987, 32265, 32264, 20942, 1740, 1021, 1050, 651, 406, 8414])).
% 4.86/5.09 tff(32290,plain,
% 4.86/5.09 (r(elem!1, s(z)) <=> r(s(s(s(s(z)))), s(z))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32289])).
% 4.86/5.09 tff(32291,plain,
% 4.86/5.09 (r(s(s(s(s(z)))), s(z)) <=> r(elem!1, s(z))),
% 4.86/5.09 inference(symmetry,[status(thm)],[32290])).
% 4.86/5.09 tff(32292,plain,
% 4.86/5.09 (r(elem!1, s(z))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[108, 32291])).
% 4.86/5.09 tff(32293,plain,
% 4.86/5.09 (b(z, s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[16535, 32289, 1021])).
% 4.86/5.09 tff(32294,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32295,plain,
% 4.86/5.09 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32296,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32295])).
% 4.86/5.09 tff(32297,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.86/5.09 inference(transitivity,[status(thm)],[32296, 32294])).
% 4.86/5.09 tff(32298,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))),
% 4.86/5.09 inference(quant_inst,[status(thm)],[])).
% 4.86/5.09 tff(32299,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[32298, 32297])).
% 4.86/5.09 tff(32300,plain,
% 4.86/5.09 ($false),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32299, 338, 8722, 878, 1740, 764, 555, 3484])).
% 4.86/5.09 tff(32301,plain,((~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.09 tff(32302,plain,
% 4.86/5.09 (~b(s(s(elem!1)), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32301, 32293, 878, 1740, 8722, 3484])).
% 4.86/5.09 tff(32303,plain,
% 4.86/5.09 (r(s(s(elem!1)), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[784, 32302])).
% 4.86/5.09 tff(32304,plain,
% 4.86/5.09 (~r(s(s(elem!1)), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[9053, 32303, 32292])).
% 4.86/5.09 tff(32305,plain,
% 4.86/5.09 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32289])).
% 4.86/5.09 tff(32306,plain,
% 4.86/5.09 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 4.86/5.09 inference(symmetry,[status(thm)],[32305])).
% 4.86/5.09 tff(32307,plain,
% 4.86/5.09 (b(elem!1, s(s(elem!1)))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[3484, 32306])).
% 4.86/5.09 tff(32308,plain,
% 4.86/5.09 (s(s(s(s(z)))) = elem!1),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1062, 32289])).
% 4.86/5.09 tff(32309,plain,
% 4.86/5.09 (~b(s(s(elem!1)), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[14993, 32303, 108, 987, 871, 32264, 32308, 32307])).
% 4.86/5.09 tff(32310,plain,
% 4.86/5.09 ($false),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[327, 32309, 32304, 207])).
% 4.86/5.09 tff(32311,plain,((~r(s(z), s(s(s(z))))) | (s(s(elem!1)) = elem!1) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, elem!1)) | (elem!1 = s(s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(elem!1))) | (s(s(s(z))) = s(elem!1)) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.09 tff(32312,plain,
% 4.86/5.09 (~r(s(z), s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32311, 108, 207, 987, 871, 878, 1740, 8722, 3484, 1021, 1050, 651, 486, 3083, 3993, 1122, 802])).
% 4.86/5.09 tff(32313,plain,
% 4.86/5.09 (b(s(z), s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[424, 32312])).
% 4.86/5.09 tff(32314,plain,
% 4.86/5.09 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[30653, 32313, 1740, 486, 108, 1122])).
% 4.86/5.09 tff(32315,plain,
% 4.86/5.09 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[689, 32314])).
% 4.86/5.09 tff(32316,plain,
% 4.86/5.09 (~b(s(s(s(z))), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[22134, 338, 457, 987, 651, 539])).
% 4.86/5.09 tff(32317,plain,
% 4.86/5.09 (r(s(s(s(z))), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[437, 32316])).
% 4.86/5.09 tff(32318,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32319,plain,
% 4.86/5.09 (((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(rewrite,[status(thm)],[])).
% 4.86/5.09 tff(32320,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32319])).
% 4.86/5.09 tff(32321,plain,
% 4.86/5.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 4.86/5.09 inference(transitivity,[status(thm)],[32320, 32318])).
% 4.86/5.09 tff(32322,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.86/5.09 inference(quant_inst,[status(thm)],[])).
% 4.86/5.09 tff(32323,plain,
% 4.86/5.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z))))))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[32322, 32321])).
% 4.86/5.09 tff(32324,plain,
% 4.86/5.09 (~b(s(s(s(z))), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32323, 338, 3918, 457, 987, 651, 539])).
% 4.86/5.09 tff(32325,plain,
% 4.86/5.09 (r(s(s(s(z))), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1110, 32324, 32279])).
% 4.86/5.09 tff(32326,plain,
% 4.86/5.09 (~r(s(z), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[12500, 32325, 32317])).
% 4.86/5.09 tff(32327,plain,
% 4.86/5.09 (b(s(z), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[701, 32326, 691])).
% 4.86/5.09 tff(32328,plain,
% 4.86/5.09 (~b(elem!1, s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[16751, 32327, 1740, 1021, 3918, 539])).
% 4.86/5.09 tff(32329,plain,
% 4.86/5.09 (r(elem!1, s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1160, 32328, 1050])).
% 4.86/5.09 tff(32330,plain,
% 4.86/5.09 (~r(elem!1, s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[3335, 32329, 32317])).
% 4.86/5.09 tff(32331,plain,
% 4.86/5.09 (b(elem!1, s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[819, 32330, 697])).
% 4.86/5.09 tff(32332,plain,
% 4.86/5.09 ($false),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32274, 338, 1021, 32327, 3918, 1740, 32331, 651])).
% 4.86/5.09 tff(32333,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (elem!1 = s(s(s(z)))) | (s(z) = elem!1) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.09 tff(32334,plain,
% 4.86/5.09 (~b(elem!1, s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32333, 32315, 1021, 1740, 651, 1050, 20942, 32313, 987])).
% 4.86/5.09 tff(32335,plain,
% 4.86/5.09 (elem!1 = s(s(s(s(z))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1094, 32334, 8414])).
% 4.86/5.09 tff(32336,plain,
% 4.86/5.09 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32335])).
% 4.86/5.09 tff(32337,plain,
% 4.86/5.09 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 4.86/5.09 inference(symmetry,[status(thm)],[32336])).
% 4.86/5.09 tff(32338,plain,
% 4.86/5.09 (b(elem!1, s(s(elem!1)))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[3484, 32337])).
% 4.86/5.09 tff(32339,plain,
% 4.86/5.09 (s(s(s(s(z)))) = elem!1),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[1062, 32335])).
% 4.86/5.09 tff(32340,plain,
% 4.86/5.09 (b(z, s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[16535, 32335, 1021])).
% 4.86/5.09 tff(32341,plain,
% 4.86/5.09 (~b(s(s(elem!1)), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32301, 32340, 878, 1740, 8722, 3484])).
% 4.86/5.09 tff(32342,plain,
% 4.86/5.09 (r(s(s(elem!1)), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[784, 32341])).
% 4.86/5.09 tff(32343,plain,
% 4.86/5.09 (~b(s(s(s(z))), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[22134, 338, 32313, 987, 651, 32315])).
% 4.86/5.09 tff(32344,plain,
% 4.86/5.09 (r(s(s(s(z))), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[437, 32343])).
% 4.86/5.09 tff(32345,plain,
% 4.86/5.09 (r(elem!1, s(z)) <=> r(s(s(s(s(z)))), s(z))),
% 4.86/5.09 inference(monotonicity,[status(thm)],[32335])).
% 4.86/5.09 tff(32346,plain,
% 4.86/5.09 (r(s(s(s(s(z)))), s(z)) <=> r(elem!1, s(z))),
% 4.86/5.09 inference(symmetry,[status(thm)],[32345])).
% 4.86/5.09 tff(32347,plain,
% 4.86/5.09 (r(elem!1, s(z))),
% 4.86/5.09 inference(modus_ponens,[status(thm)],[108, 32346])).
% 4.86/5.09 tff(32348,plain,
% 4.86/5.09 (~r(s(s(elem!1)), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[9053, 32347, 32342])).
% 4.86/5.09 tff(32349,plain,
% 4.86/5.09 (b(s(s(elem!1)), elem!1)),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[327, 32348, 207])).
% 4.86/5.09 tff(32350,plain,
% 4.86/5.09 ($false),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[14993, 32349, 32344, 108, 987, 871, 32342, 32339, 32338])).
% 4.86/5.09 tff(32351,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (s(s(elem!1)) = elem!1) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (elem!1 = s(s(s(z)))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(elem!1))) | (s(s(s(z))) = s(elem!1)) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.09 tff(32352,plain,
% 4.86/5.09 (~r(s(s(s(s(z)))), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[32351, 32143, 28815, 197, 651, 3484, 28811, 1740, 8722, 4712, 32037, 28837, 1122, 28868, 3993, 32144])).
% 4.86/5.09 tff(32353,plain,
% 4.86/5.09 (b(s(s(s(s(z)))), s(z))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[119, 32352])).
% 4.86/5.09 tff(32354,plain,
% 4.86/5.09 (~b(z, s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[3815, 32353, 651, 28837, 1740])).
% 4.86/5.09 tff(32355,plain,
% 4.86/5.09 (r(z, s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[391, 32354])).
% 4.86/5.09 tff(32356,plain,
% 4.86/5.09 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.09 inference(unit_resolution,[status(thm)],[919, 32355, 150])).
% 4.86/5.09 tff(32357,plain,
% 4.86/5.09 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[689, 32356])).
% 4.86/5.10 tff(32358,plain,
% 4.86/5.10 (~(elem!1 = s(s(s(s(z)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[16535, 32354, 4712])).
% 4.86/5.10 tff(32359,plain,
% 4.86/5.10 (~r(s(s(s(s(z)))), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[28941, 32144, 1122])).
% 4.86/5.10 tff(32360,plain,
% 4.86/5.10 (~b(s(s(s(z))), s(z))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[5782, 32357, 651, 32353, 28811])).
% 4.86/5.10 tff(32361,plain,
% 4.86/5.10 (r(s(s(s(z))), s(z))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[437, 32360])).
% 4.86/5.10 tff(32362,plain,
% 4.86/5.10 (~b(s(z), s(s(s(z))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[26532, 32357, 651, 32353, 28811])).
% 4.86/5.10 tff(32363,plain,
% 4.86/5.10 (r(s(z), s(s(s(z))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[424, 32362])).
% 4.86/5.10 tff(32364,plain,
% 4.86/5.10 ($false),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32288, 32363, 32361, 28811, 32359, 32358, 28816, 1740, 4712, 32037, 651, 32357, 32145])).
% 4.86/5.10 tff(32365,plain,((elem!1 = z) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (s(s(s(z))) = s(elem!1)) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | r(z, elem!1) | (~r(s(s(elem!1)), s(elem!1))) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.10 tff(32366,plain,
% 4.86/5.10 (elem!1 = z),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32365, 32137, 651, 32034, 32026, 12174, 32025, 721, 137, 1729, 10433, 138])).
% 4.86/5.10 tff(32367,plain,
% 4.86/5.10 (s(elem!1) = s(z)),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32366])).
% 4.86/5.10 tff(32368,plain,
% 4.86/5.10 (s(s(elem!1)) = s(s(z))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32367])).
% 4.86/5.10 tff(32369,plain,
% 4.86/5.10 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(z)))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32368])).
% 4.86/5.10 tff(32370,plain,
% 4.86/5.10 (b(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[29688, 32366, 7059])).
% 4.86/5.10 tff(32371,plain,
% 4.86/5.10 (b(s(s(s(z))), s(s(z)))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32370, 32369])).
% 4.86/5.10 tff(32372,plain,
% 4.86/5.10 (s(s(z)) = s(s(elem!1))),
% 4.86/5.10 inference(symmetry,[status(thm)],[32368])).
% 4.86/5.10 tff(32373,plain,
% 4.86/5.10 (r(s(z), s(s(z))) <=> r(s(z), s(s(elem!1)))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32372])).
% 4.86/5.10 tff(32374,plain,
% 4.86/5.10 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(z)))),
% 4.86/5.10 inference(symmetry,[status(thm)],[32373])).
% 4.86/5.10 tff(32375,plain,
% 4.86/5.10 (r(s(z), s(s(z)))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[721, 32374])).
% 4.86/5.10 tff(32376,plain,
% 4.86/5.10 (b(z, s(elem!1)) <=> b(z, s(z))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32367])).
% 4.86/5.10 tff(32377,plain,
% 4.86/5.10 (b(z, s(z)) <=> b(z, s(elem!1))),
% 4.86/5.10 inference(symmetry,[status(thm)],[32376])).
% 4.86/5.10 tff(32378,plain,
% 4.86/5.10 (b(z, s(elem!1))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32096, 32377])).
% 4.86/5.10 tff(32379,plain,
% 4.86/5.10 (b(elem!1, s(s(s(elem!1)))) <=> b(z, s(s(s(elem!1))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32366])).
% 4.86/5.10 tff(32380,plain,
% 4.86/5.10 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.86/5.10 inference(symmetry,[status(thm)],[32379])).
% 4.86/5.10 tff(32381,plain,
% 4.86/5.10 (s(s(s(elem!1))) = s(s(s(z)))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32368])).
% 4.86/5.10 tff(32382,plain,
% 4.86/5.10 (b(z, s(s(s(elem!1)))) <=> b(z, s(s(s(z))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32381])).
% 4.86/5.10 tff(32383,plain,
% 4.86/5.10 (b(z, s(s(s(z)))) <=> b(z, s(s(s(elem!1))))),
% 4.86/5.10 inference(symmetry,[status(thm)],[32382])).
% 4.86/5.10 tff(32384,plain,
% 4.86/5.10 (b(z, s(s(s(z)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.86/5.10 inference(transitivity,[status(thm)],[32383, 32380])).
% 4.86/5.10 tff(32385,plain,
% 4.86/5.10 ((~b(z, s(s(s(z))))) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32384])).
% 4.86/5.10 tff(32386,plain,
% 4.86/5.10 (~b(elem!1, s(s(s(elem!1))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[138, 32385])).
% 4.86/5.10 tff(32387,plain,
% 4.86/5.10 (b(s(elem!1), elem!1) <=> b(s(elem!1), z)),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32366])).
% 4.86/5.10 tff(32388,plain,
% 4.86/5.10 (b(s(elem!1), z) <=> b(s(elem!1), elem!1)),
% 4.86/5.10 inference(symmetry,[status(thm)],[32387])).
% 4.86/5.10 tff(32389,plain,
% 4.86/5.10 (b(s(elem!1), z) <=> b(s(z), z)),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32367])).
% 4.86/5.10 tff(32390,plain,
% 4.86/5.10 (b(s(z), z) <=> b(s(elem!1), z)),
% 4.86/5.10 inference(symmetry,[status(thm)],[32389])).
% 4.86/5.10 tff(32391,plain,
% 4.86/5.10 (b(s(z), z) <=> b(s(elem!1), elem!1)),
% 4.86/5.10 inference(transitivity,[status(thm)],[32390, 32388])).
% 4.86/5.10 tff(32392,plain,
% 4.86/5.10 (b(s(elem!1), elem!1)),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32137, 32391])).
% 4.86/5.10 tff(32393,plain,
% 4.86/5.10 ((~b(z, s(s(s(z))))) <=> (~b(z, s(s(s(elem!1)))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32383])).
% 4.86/5.10 tff(32394,plain,
% 4.86/5.10 (~b(z, s(s(s(elem!1))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[138, 32393])).
% 4.86/5.10 tff(32395,plain,
% 4.86/5.10 (b(elem!1, s(s(elem!1)))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[9178, 32366, 32026])).
% 4.86/5.10 tff(32396,plain,
% 4.86/5.10 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[30895, 28857])).
% 4.86/5.10 tff(32397,plain,
% 4.86/5.10 (~r(s(s(elem!1)), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[9164, 32396, 1122, 2119, 7059, 164, 712])).
% 4.86/5.10 tff(32398,plain,
% 4.86/5.10 ((s(s(s(elem!1))) = elem!1) <=> (s(s(s(elem!1))) = z)),
% 4.86/5.10 inference(monotonicity,[status(thm)],[712])).
% 4.86/5.10 tff(32399,plain,
% 4.86/5.10 ((s(s(s(elem!1))) = z) <=> (s(s(s(elem!1))) = elem!1)),
% 4.86/5.10 inference(symmetry,[status(thm)],[32398])).
% 4.86/5.10 tff(32400,plain,
% 4.86/5.10 ((s(s(s(elem!1))) = z) <=> (elem!1 = s(s(s(elem!1))))),
% 4.86/5.10 inference(transitivity,[status(thm)],[32399, 3376])).
% 4.86/5.10 tff(32401,plain,
% 4.86/5.10 ((~(s(s(s(elem!1))) = z)) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32400])).
% 4.86/5.10 tff(32402,plain,
% 4.86/5.10 (~(elem!1 = s(s(s(elem!1))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[1367, 32401])).
% 4.86/5.10 tff(32403,plain,
% 4.86/5.10 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(z), s(s(s(elem!1))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[2995])).
% 4.86/5.10 tff(32404,plain,
% 4.86/5.10 (r(s(z), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.10 inference(symmetry,[status(thm)],[32403])).
% 4.86/5.10 tff(32405,plain,
% 4.86/5.10 (r(s(z), s(s(s(elem!1)))) <=> r(s(z), s(s(s(z))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[2997])).
% 4.86/5.10 tff(32406,plain,
% 4.86/5.10 (r(s(z), s(s(s(z)))) <=> r(s(z), s(s(s(elem!1))))),
% 4.86/5.10 inference(symmetry,[status(thm)],[32405])).
% 4.86/5.10 tff(32407,plain,
% 4.86/5.10 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.10 inference(transitivity,[status(thm)],[32406, 32404])).
% 4.86/5.10 tff(32408,plain,
% 4.86/5.10 (r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[406, 32407])).
% 4.86/5.10 tff(32409,plain,
% 4.86/5.10 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[2629, 32408, 264])).
% 4.86/5.10 tff(32410,plain,
% 4.86/5.10 (b(s(s(s(elem!1))), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[10326, 32408, 137, 2138, 314, 1940, 1729, 1597, 7050, 232, 32409, 32402])).
% 4.86/5.10 tff(32411,plain,
% 4.86/5.10 (~b(s(s(elem!1)), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[10569, 32410, 762, 7059, 32396])).
% 4.86/5.10 tff(32412,plain,
% 4.86/5.10 ($false),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[327, 32411, 32397, 197])).
% 4.86/5.10 tff(32413,plain,((~r(s(z), s(s(s(z))))) | (~b(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~(elem!1 = z)) | (elem!1 = s(s(elem!1))) | b(z, s(s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | b(elem!1, s(s(s(elem!1)))) | r(z, elem!1) | (~b(z, s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.10 tff(32414,plain,
% 4.86/5.10 (~r(s(z), s(s(s(z))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32413, 32395, 12174, 150, 32366, 137, 32394, 32392, 32386, 1729, 32378, 7050, 10433, 32375])).
% 4.86/5.10 tff(32415,plain,
% 4.86/5.10 (b(s(z), s(s(s(z))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[424, 32414])).
% 4.86/5.10 tff(32416,plain,
% 4.86/5.10 (b(z, s(s(elem!1))) <=> b(z, s(s(z)))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32368])).
% 4.86/5.10 tff(32417,plain,
% 4.86/5.10 (b(z, s(s(z)))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32026, 32416])).
% 4.86/5.10 tff(32418,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.10 inference(rewrite,[status(thm)],[])).
% 4.86/5.10 tff(32419,plain,
% 4.86/5.10 (((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.10 inference(rewrite,[status(thm)],[])).
% 4.86/5.10 tff(32420,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32419])).
% 4.86/5.10 tff(32421,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.10 inference(transitivity,[status(thm)],[32420, 32418])).
% 4.86/5.10 tff(32422,plain,
% 4.86/5.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.86/5.10 inference(quant_inst,[status(thm)],[])).
% 4.86/5.10 tff(32423,plain,
% 4.86/5.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 4.86/5.10 tff(32424,plain,
% 4.86/5.10 (~b(s(s(s(z))), z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32423, 338, 32417, 32415, 32371, 32023, 651])).
% 4.86/5.10 tff(32425,plain,
% 4.86/5.10 (r(s(s(s(z))), z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[135, 32424])).
% 4.86/5.10 tff(32426,plain,
% 4.86/5.10 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32368])).
% 4.86/5.10 tff(32427,plain,
% 4.86/5.10 (b(s(s(s(s(z)))), s(s(z)))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32034, 32426])).
% 4.86/5.10 tff(32428,plain,
% 4.86/5.10 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.86/5.10 inference(rewrite,[status(thm)],[])).
% 4.86/5.10 tff(32429,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32428])).
% 4.86/5.10 tff(32430,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 4.86/5.10 inference(transitivity,[status(thm)],[32429, 29056])).
% 4.86/5.10 tff(32431,plain,
% 4.86/5.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.86/5.10 inference(quant_inst,[status(thm)],[])).
% 4.86/5.10 tff(32432,plain,
% 4.86/5.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32431, 32430])).
% 4.86/5.10 tff(32433,plain,
% 4.86/5.10 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32432, 338, 32415, 32371, 32023, 651, 32427])).
% 4.86/5.10 tff(32434,plain,
% 4.86/5.10 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[689, 32433])).
% 4.86/5.10 tff(32435,plain,
% 4.86/5.10 ($false),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[3603, 32434, 32425, 12174])).
% 4.86/5.10 tff(32436,plain,((~b(s(z), s(s(s(s(z)))))) | (elem!1 = s(s(elem!1))) | r(z, elem!1) | r(s(s(s(elem!1))), s(s(elem!1))) | b(z, s(s(s(z)))) | (~r(s(z), s(s(elem!1)))) | b(s(s(s(s(z)))), z) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.10 tff(32437,plain,
% 4.86/5.10 (~b(s(z), s(s(s(s(z)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32436, 1729, 137, 7050, 138, 721, 12173, 2605])).
% 4.86/5.10 tff(32438,plain,
% 4.86/5.10 (r(s(z), s(s(s(s(z)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[106, 32437])).
% 4.86/5.10 tff(32439,plain,
% 4.86/5.10 (~r(s(z), z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[2977, 32438, 12174])).
% 4.86/5.10 tff(32440,plain,
% 4.86/5.10 (b(s(z), z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[26, 32439])).
% 4.86/5.10 tff(32441,plain,
% 4.86/5.10 (~(s(s(elem!1)) = s(s(s(z))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[16893, 138, 32026])).
% 4.86/5.10 tff(32442,plain,
% 4.86/5.10 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32441, 28813])).
% 4.86/5.10 tff(32443,plain,
% 4.86/5.10 (~(s(z) = elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[873, 32442])).
% 4.86/5.10 tff(32444,plain,
% 4.86/5.10 (~r(s(z), z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[2977, 72, 1122])).
% 4.86/5.10 tff(32445,plain,
% 4.86/5.10 (b(s(z), z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[26, 32444])).
% 4.86/5.10 tff(32446,plain,
% 4.86/5.10 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[2822])).
% 4.86/5.10 tff(32447,plain,
% 4.86/5.10 (b(s(s(s(s(z)))), s(elem!1))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[2911, 4458])).
% 4.86/5.10 tff(32448,plain,
% 4.86/5.10 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32447, 32446])).
% 4.86/5.10 tff(32449,plain,
% 4.86/5.10 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[1498, 8347])).
% 4.86/5.10 tff(32450,plain,
% 4.86/5.10 (r(s(z), s(s(s(s(elem!1))))) <=> r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[2806])).
% 4.86/5.10 tff(32451,plain,
% 4.86/5.10 (r(s(elem!1), s(s(s(s(elem!1))))) <=> r(s(z), s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(symmetry,[status(thm)],[32450])).
% 4.86/5.10 tff(32452,plain,
% 4.86/5.10 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(z), s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(transitivity,[status(thm)],[17527, 32451])).
% 4.86/5.10 tff(32453,plain,
% 4.86/5.10 (r(s(elem!1), s(s(s(s(z)))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[72, 17528])).
% 4.86/5.10 tff(32454,plain,
% 4.86/5.10 (r(s(z), s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32453, 32452])).
% 4.86/5.10 tff(32455,plain,
% 4.86/5.10 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[7525, 32454, 703, 7501])).
% 4.86/5.10 tff(32456,plain,
% 4.86/5.10 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[1724, 32455, 32449])).
% 4.86/5.10 tff(32457,plain,
% 4.86/5.10 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[1959, 17813, 11897])).
% 4.86/5.10 tff(32458,plain,
% 4.86/5.10 (b(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[1515, 32457, 215])).
% 4.86/5.10 tff(32459,plain,
% 4.86/5.10 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[2822])).
% 4.86/5.10 tff(32460,plain,
% 4.86/5.10 (b(z, s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[703])).
% 4.86/5.10 tff(32461,plain,
% 4.86/5.10 (b(elem!1, s(s(s(s(z)))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[24139, 32460])).
% 4.86/5.10 tff(32462,plain,
% 4.86/5.10 (b(elem!1, s(s(s(s(elem!1)))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32461, 32459])).
% 4.86/5.10 tff(32463,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.86/5.10 inference(rewrite,[status(thm)],[])).
% 4.86/5.10 tff(32464,plain,
% 4.86/5.10 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1))))) <=> ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.86/5.10 inference(rewrite,[status(thm)],[])).
% 4.86/5.10 tff(32465,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32464])).
% 4.86/5.10 tff(32466,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))))),
% 4.86/5.10 inference(transitivity,[status(thm)],[32465, 32463])).
% 4.86/5.10 tff(32467,plain,
% 4.86/5.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(elem!1)))))),
% 4.86/5.10 inference(quant_inst,[status(thm)],[])).
% 4.86/5.10 tff(32468,plain,
% 4.86/5.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(elem!1)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(s(s(s(elem!1)))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1)))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32467, 32466])).
% 4.86/5.10 tff(32469,plain,
% 4.86/5.10 ($false),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32468, 338, 32462, 17793, 32458, 29705, 32456, 32448])).
% 4.86/5.10 tff(32470,plain,((~(z = elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.10 tff(32471,plain,
% 4.86/5.10 (~(z = elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32470, 28831, 12514, 210, 72, 721, 164, 1731, 8722])).
% 4.86/5.10 tff(32472,plain,
% 4.86/5.10 (b(z, elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[353, 32471, 1729])).
% 4.86/5.10 tff(32473,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.10 inference(rewrite,[status(thm)],[])).
% 4.86/5.10 tff(32474,plain,
% 4.86/5.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.10 inference(quant_inst,[status(thm)],[])).
% 4.86/5.10 tff(32475,plain,
% 4.86/5.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[32474, 32473])).
% 4.86/5.10 tff(32476,plain,
% 4.86/5.10 ($false),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32475, 338, 1021, 706, 1740, 458, 987, 2911])).
% 4.86/5.10 tff(32477,plain,((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.10 tff(32478,plain,
% 4.86/5.10 (~b(s(z), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[32477, 32472, 32445, 28829, 12514, 28831])).
% 4.86/5.10 tff(32479,plain,
% 4.86/5.10 (r(s(z), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[701, 32478, 691])).
% 4.86/5.10 tff(32480,plain,
% 4.86/5.10 (~r(s(s(s(s(z)))), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[2949, 32479, 72])).
% 4.86/5.10 tff(32481,plain,
% 4.86/5.10 (~r(elem!1, s(s(elem!1)))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[8741, 32479, 721])).
% 4.86/5.10 tff(32482,plain,
% 4.86/5.10 (b(elem!1, s(s(elem!1)))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[321, 32481, 137])).
% 4.86/5.10 tff(32483,plain,
% 4.86/5.10 (~r(s(s(elem!1)), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[7269, 32479, 721])).
% 4.86/5.10 tff(32484,plain,
% 4.86/5.10 (b(s(s(elem!1)), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[327, 32483, 197])).
% 4.86/5.10 tff(32485,plain,
% 4.86/5.10 (~(elem!1 = z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[716, 32471])).
% 4.86/5.10 tff(32486,plain,
% 4.86/5.10 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[28953, 32479, 363, 1122, 8722, 32485, 32472, 137, 721])).
% 4.86/5.10 tff(32487,plain,
% 4.86/5.10 (~b(s(s(elem!1)), z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[18008, 338, 32472, 32484, 32482, 8722])).
% 4.86/5.10 tff(32488,plain,
% 4.86/5.10 (r(s(s(elem!1)), z)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[800, 32487])).
% 4.86/5.10 tff(32489,plain,
% 4.86/5.10 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[14044, 32488, 1122])).
% 4.86/5.10 tff(32490,plain,
% 4.86/5.10 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[368, 32489, 363])).
% 4.86/5.10 tff(32491,plain,
% 4.86/5.10 (~b(s(s(s(s(z)))), elem!1)),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[11385, 32490, 32486, 32484, 32482])).
% 4.86/5.10 tff(32492,plain,
% 4.86/5.10 (s(s(s(s(z)))) = elem!1),
% 4.86/5.10 inference(unit_resolution,[status(thm)],[1144, 32491, 32480])).
% 4.86/5.10 tff(32493,plain,
% 4.86/5.10 (b(s(s(s(s(z)))), s(z)) <=> b(elem!1, s(z))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32492])).
% 4.86/5.10 tff(32494,plain,
% 4.86/5.10 (b(elem!1, s(z))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[28831, 32493])).
% 4.86/5.10 tff(32495,plain,
% 4.86/5.10 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 4.86/5.10 inference(monotonicity,[status(thm)],[32492])).
% 4.86/5.10 tff(32496,plain,
% 4.86/5.10 (b(elem!1, s(s(s(z))))),
% 4.86/5.10 inference(modus_ponens,[status(thm)],[12514, 32495])).
% 4.86/5.10 tff(32497,plain,
% 4.86/5.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32498,plain,
% 4.86/5.11 (((~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1))))) <=> ((~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32499,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z)))))),
% 4.86/5.11 inference(monotonicity,[status(thm)],[32498])).
% 4.86/5.11 tff(32500,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.11 inference(transitivity,[status(thm)],[32499, 32497])).
% 4.86/5.11 tff(32501,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(elem!1, s(z))) | (~b(elem!1, s(s(s(z))))) | (~b(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(z, s(s(elem!1)))))),
% 4.86/5.11 inference(quant_inst,[status(thm)],[])).
% 4.86/5.11 tff(32502,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z)))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[32501, 32500])).
% 4.86/5.11 tff(32503,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32502, 338, 32472, 32484, 8722, 28829, 32496, 32494])).
% 4.86/5.11 tff(32504,plain,((~r(z, s(z))) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (s(z) = elem!1) | r(z, elem!1) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32505,plain,
% 4.86/5.11 (~r(z, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32504, 32438, 32024, 12174, 137, 721, 32026, 32443, 1729, 150])).
% 4.86/5.11 tff(32506,plain,
% 4.86/5.11 (b(z, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[403, 32505])).
% 4.86/5.11 tff(32507,plain,
% 4.86/5.11 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[15221, 32506, 12174, 32438, 32440])).
% 4.86/5.11 tff(32508,plain,
% 4.86/5.11 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[689, 32507])).
% 4.86/5.11 tff(32509,plain,
% 4.86/5.11 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[32453, 17527])).
% 4.86/5.11 tff(32510,plain,
% 4.86/5.11 (~r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[11674, 32509, 7501])).
% 4.86/5.11 tff(32511,plain,
% 4.86/5.11 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1651, 32510, 1496])).
% 4.86/5.11 tff(32512,plain,
% 4.86/5.11 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1724, 32455, 2266])).
% 4.86/5.11 tff(32513,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32514,plain,
% 4.86/5.11 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1))))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32515,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))))),
% 4.86/5.11 inference(monotonicity,[status(thm)],[32514])).
% 4.86/5.11 tff(32516,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))))),
% 4.86/5.11 inference(transitivity,[status(thm)],[32515, 32513])).
% 4.86/5.11 tff(32517,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.86/5.11 inference(quant_inst,[status(thm)],[])).
% 4.86/5.11 tff(32518,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(elem!1))))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[32517, 32516])).
% 4.86/5.11 tff(32519,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32518, 338, 6387, 29705, 32512, 32511, 29703])).
% 4.86/5.11 tff(32520,plain,((~(z = elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32521,plain,
% 4.86/5.11 (~(z = elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32520, 32508, 2119, 7059, 32023, 32438, 721])).
% 4.86/5.11 tff(32522,plain,
% 4.86/5.11 (b(z, elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[353, 32521, 1729])).
% 4.86/5.11 tff(32523,plain,
% 4.86/5.11 (~(elem!1 = z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[716, 32521])).
% 4.86/5.11 tff(32524,plain,
% 4.86/5.11 (~(s(elem!1) = s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1912, 32521])).
% 4.86/5.11 tff(32525,plain,
% 4.86/5.11 (~(s(z) = s(elem!1))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1919, 32524])).
% 4.86/5.11 tff(32526,plain,
% 4.86/5.11 (b(s(z), s(elem!1))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3066, 32525, 15870])).
% 4.86/5.11 tff(32527,plain,
% 4.86/5.11 (~r(s(s(elem!1)), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32141, 32526, 32440, 32506, 10433])).
% 4.86/5.11 tff(32528,plain,
% 4.86/5.11 (b(s(s(elem!1)), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[800, 32527])).
% 4.86/5.11 tff(32529,plain,
% 4.86/5.11 (r(elem!1, z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[18765, 32528, 721, 32026, 137, 32443, 32440, 32506, 1729, 32523])).
% 4.86/5.11 tff(32530,plain,
% 4.86/5.11 (~r(elem!1, s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3590, 82, 32529, 12174])).
% 4.86/5.11 tff(32531,plain,
% 4.86/5.11 (~(elem!1 = s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1046, 32522, 138])).
% 4.86/5.11 tff(32532,plain,
% 4.86/5.11 (~r(elem!1, s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[2377, 32529, 150])).
% 4.86/5.11 tff(32533,plain,
% 4.86/5.11 (b(elem!1, s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1160, 32532, 32531])).
% 4.86/5.11 tff(32534,plain,
% 4.86/5.11 (~b(elem!1, s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[16763, 32522, 32528, 32533, 32508, 197, 721, 32443, 32440])).
% 4.86/5.11 tff(32535,plain,
% 4.86/5.11 (elem!1 = s(s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1094, 32534, 32530])).
% 4.86/5.11 tff(32536,plain,
% 4.86/5.11 (b(z, s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[16535, 32535, 32522])).
% 4.86/5.11 tff(32537,plain,
% 4.86/5.11 (s(s(s(s(z)))) = elem!1),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1062, 32535])).
% 4.86/5.11 tff(32538,plain,
% 4.86/5.11 (r(s(z), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1019, 32537, 32438])).
% 4.86/5.11 tff(32539,plain,
% 4.86/5.11 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[28953, 32538, 32024, 12174, 32026, 32523, 32522, 137, 721])).
% 4.86/5.11 tff(32540,plain,
% 4.86/5.11 (~b(s(s(elem!1)), s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32301, 32539, 32528, 32440, 32026, 32536])).
% 4.86/5.11 tff(32541,plain,
% 4.86/5.11 (r(s(s(elem!1)), s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[784, 32540])).
% 4.86/5.11 tff(32542,plain,
% 4.86/5.11 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[6732, 32541, 32438])).
% 4.86/5.11 tff(32543,plain,
% 4.86/5.11 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[368, 32542, 32024])).
% 4.86/5.11 tff(32544,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32545,plain,
% 4.86/5.11 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32546,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 4.86/5.11 inference(monotonicity,[status(thm)],[32545])).
% 4.86/5.11 tff(32547,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 4.86/5.11 inference(transitivity,[status(thm)],[32546, 32544])).
% 4.86/5.11 tff(32548,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))))),
% 4.86/5.11 inference(quant_inst,[status(thm)],[])).
% 4.86/5.11 tff(32549,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[32548, 32547])).
% 4.86/5.11 tff(32550,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32549, 338, 32026, 32528, 32536, 32539, 32543])).
% 4.86/5.11 tff(32551,plain,(r(z, elem!1) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | b(z, s(s(s(z)))) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(s(z)))), z) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32552,plain,
% 4.86/5.11 (r(z, elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32551, 138, 12172, 137, 7050, 12173, 2605])).
% 4.86/5.11 tff(32553,plain,
% 4.86/5.11 (~r(elem!1, s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3328, 32552, 150])).
% 4.86/5.11 tff(32554,plain,
% 4.86/5.11 (~r(s(s(s(z))), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[12126, 32552, 150])).
% 4.86/5.11 tff(32555,plain,
% 4.86/5.11 (~(elem!1 = z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[10543, 32552, 28796])).
% 4.86/5.11 tff(32556,plain,
% 4.86/5.11 (~(z = elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[2752, 32555])).
% 4.86/5.11 tff(32557,plain,
% 4.86/5.11 (~(s(elem!1) = s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1912, 32556])).
% 4.86/5.11 tff(32558,plain,
% 4.86/5.11 (~(s(z) = s(elem!1))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1919, 32557])).
% 4.86/5.11 tff(32559,plain,
% 4.86/5.11 (b(s(z), s(elem!1))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3066, 32558, 13856])).
% 4.86/5.11 tff(32560,plain,
% 4.86/5.11 (~r(s(s(s(s(z)))), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[5597, 234, 1122])).
% 4.86/5.11 tff(32561,plain,
% 4.86/5.11 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[26532, 14542, 14544, 544, 12514])).
% 4.86/5.11 tff(32562,plain,
% 4.86/5.11 (r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[689, 32561])).
% 4.86/5.11 tff(32563,plain,
% 4.86/5.11 (~r(z, s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[919, 32562, 164])).
% 4.86/5.11 tff(32564,plain,
% 4.86/5.11 (~(s(s(s(s(z)))) = elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[12155, 32563, 234])).
% 4.86/5.11 tff(32565,plain,
% 4.86/5.11 (b(s(s(s(s(z)))), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1144, 32564, 32560])).
% 4.86/5.11 tff(32566,plain,
% 4.86/5.11 (~(elem!1 = z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[10543, 234, 31087])).
% 4.86/5.11 tff(32567,plain,
% 4.86/5.11 (b(s(z), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[701, 760, 691])).
% 4.86/5.11 tff(32568,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32569,plain,
% 4.86/5.11 (((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32570,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))))),
% 4.86/5.11 inference(monotonicity,[status(thm)],[32569])).
% 4.86/5.11 tff(32571,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)))),
% 4.86/5.11 inference(transitivity,[status(thm)],[32570, 32568])).
% 4.86/5.11 tff(32572,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))))),
% 4.86/5.11 inference(quant_inst,[status(thm)],[])).
% 4.86/5.11 tff(32573,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[32572, 32571])).
% 4.86/5.11 tff(32574,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32573, 338, 17358, 17362, 8722, 706, 2911, 1130])).
% 4.86/5.11 tff(32575,plain,((~r(elem!1, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), elem!1)) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (elem!1 = z) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32576,plain,
% 4.86/5.11 (~r(elem!1, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32575, 32567, 8722, 14544, 32565, 137, 721, 32566, 405])).
% 4.86/5.11 tff(32577,plain,
% 4.86/5.11 (b(elem!1, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[819, 32576, 697])).
% 4.86/5.11 tff(32578,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[11582, 338, 32567, 32577, 14542, 14544, 32565])).
% 4.86/5.11 tff(32579,plain,((~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z))))) | (s(z) = elem!1) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32580,plain,
% 4.86/5.11 (~r(s(z), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32579, 32552, 137, 12172, 32026, 150, 32443, 12174])).
% 4.86/5.11 tff(32581,plain,
% 4.86/5.11 (b(s(z), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[26, 32580])).
% 4.86/5.11 tff(32582,plain,
% 4.86/5.11 (~r(s(s(s(z))), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[12126, 234, 164])).
% 4.86/5.11 tff(32583,plain,
% 4.86/5.11 (~r(elem!1, s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3328, 234, 164])).
% 4.86/5.11 tff(32584,plain,
% 4.86/5.11 (~b(s(z), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[28835, 1731, 164, 1122])).
% 4.86/5.11 tff(32585,plain,
% 4.86/5.11 (~(elem!1 = s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[16962, 32584, 3083])).
% 4.86/5.11 tff(32586,plain,
% 4.86/5.11 (b(elem!1, s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1160, 32585, 32583])).
% 4.86/5.11 tff(32587,plain,
% 4.86/5.11 (r(s(z), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[106, 32584])).
% 4.86/5.11 tff(32588,plain,
% 4.86/5.11 (~b(z, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[15221, 911, 1122, 72, 1740])).
% 4.86/5.11 tff(32589,plain,
% 4.86/5.11 (r(z, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[403, 32588])).
% 4.86/5.11 tff(32590,plain,
% 4.86/5.11 (~r(s(s(s(s(z)))), s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[14739, 32589, 1122])).
% 4.86/5.11 tff(32591,plain,
% 4.86/5.11 (b(s(s(s(s(z)))), s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[119, 32590])).
% 4.86/5.11 tff(32592,plain,
% 4.86/5.11 (~r(s(z), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3145, 32589, 234])).
% 4.86/5.11 tff(32593,plain,
% 4.86/5.11 (b(s(z), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[701, 32592, 691])).
% 4.86/5.11 tff(32594,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32595,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.11 inference(quant_inst,[status(thm)],[])).
% 4.86/5.11 tff(32596,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[32595, 32594])).
% 4.86/5.11 tff(32597,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32596, 338, 1796, 1740, 458, 3083, 987, 2911])).
% 4.86/5.11 tff(32598,plain,((~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32599,plain,
% 4.86/5.11 (~b(s(elem!1), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32598, 3831, 1740, 3083, 987, 32591])).
% 4.86/5.11 tff(32600,plain,
% 4.86/5.11 (r(s(elem!1), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1812, 32599])).
% 4.86/5.11 tff(32601,plain,
% 4.86/5.11 (~r(s(elem!1), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[2764, 32600, 234])).
% 4.86/5.11 tff(32602,plain,
% 4.86/5.11 (b(s(elem!1), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[312, 32601, 306])).
% 4.86/5.11 tff(32603,plain,
% 4.86/5.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.11 inference(rewrite,[status(thm)],[])).
% 4.86/5.11 tff(32604,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.86/5.11 inference(quant_inst,[status(thm)],[])).
% 4.86/5.11 tff(32605,plain,
% 4.86/5.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[32604, 32603])).
% 4.86/5.11 tff(32606,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32605, 338, 32602, 32593, 3831, 3083, 987, 32591])).
% 4.86/5.11 tff(32607,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(s(z), z)) | (s(z) = elem!1) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32608,plain,
% 4.86/5.11 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32607, 32587, 12514, 306, 234, 1740, 691, 1122, 3083])).
% 4.86/5.11 tff(32609,plain,
% 4.86/5.11 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[689, 32608])).
% 4.86/5.11 tff(32610,plain,
% 4.86/5.11 (~(s(s(s(s(z)))) = elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1019, 9848, 32587])).
% 4.86/5.11 tff(32611,plain,
% 4.86/5.11 (b(s(s(s(s(z)))), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1144, 32610, 32560])).
% 4.86/5.11 tff(32612,plain,
% 4.86/5.11 (~b(s(s(s(z))), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[2389, 32611, 12514, 32609, 32586])).
% 4.86/5.11 tff(32613,plain,
% 4.86/5.11 (s(s(s(z))) = elem!1),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1110, 32612, 32582])).
% 4.86/5.11 tff(32614,plain,
% 4.86/5.11 (elem!1 = s(s(s(z)))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[32613, 1052])).
% 4.86/5.11 tff(32615,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32585, 32614])).
% 4.86/5.11 tff(32616,plain,((~r(z, s(z))) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(s(z), z)) | (s(z) = elem!1) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(elem!1))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32617,plain,
% 4.86/5.11 (~r(z, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32616, 32552, 294, 32581, 32443, 12174, 32559, 150])).
% 4.86/5.11 tff(32618,plain,
% 4.86/5.11 (b(z, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[403, 32617])).
% 4.86/5.11 tff(32619,plain,
% 4.86/5.11 (~(z = elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[2752, 32566])).
% 4.86/5.11 tff(32620,plain,
% 4.86/5.11 (~(s(elem!1) = s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1912, 32619])).
% 4.86/5.11 tff(32621,plain,
% 4.86/5.11 (~(s(z) = s(elem!1))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1919, 32620])).
% 4.86/5.11 tff(32622,plain,
% 4.86/5.11 (b(s(z), s(elem!1))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3066, 32621, 28867])).
% 4.86/5.11 tff(32623,plain,
% 4.86/5.11 (~r(s(z), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32579, 234, 137, 721, 8722, 164, 20942, 1122])).
% 4.86/5.11 tff(32624,plain,
% 4.86/5.11 (b(s(z), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[26, 32623])).
% 4.86/5.11 tff(32625,plain,
% 4.86/5.11 (~r(z, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32616, 234, 294, 32624, 20942, 1122, 32622, 164])).
% 4.86/5.11 tff(32626,plain,
% 4.86/5.11 (b(z, s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[403, 32625])).
% 4.86/5.11 tff(32627,plain,
% 4.86/5.11 (~r(s(z), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[15221, 911, 1122, 32626, 32624])).
% 4.86/5.11 tff(32628,plain,
% 4.86/5.11 (b(s(z), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[106, 32627])).
% 4.86/5.11 tff(32629,plain,
% 4.86/5.11 (~b(s(s(s(s(z)))), s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3815, 32628, 32624, 11927, 32626])).
% 4.86/5.11 tff(32630,plain,
% 4.86/5.11 (r(s(s(s(s(z)))), s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[119, 32629])).
% 4.86/5.11 tff(32631,plain,
% 4.86/5.11 (~r(s(s(s(z))), s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[3708, 32630, 911])).
% 4.86/5.11 tff(32632,plain,
% 4.86/5.11 (b(s(s(s(z))), s(z))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[437, 32631])).
% 4.86/5.11 tff(32633,plain,
% 4.86/5.11 (~(s(s(s(s(z)))) = elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[12155, 11926, 234])).
% 4.86/5.11 tff(32634,plain,
% 4.86/5.11 (b(s(s(s(s(z)))), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1144, 32633, 32560])).
% 4.86/5.11 tff(32635,plain,
% 4.86/5.11 (~r(s(s(elem!1)), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32141, 32626, 32622, 32624, 264])).
% 4.86/5.11 tff(32636,plain,
% 4.86/5.11 (b(s(s(elem!1)), z)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[800, 32635])).
% 4.86/5.11 tff(32637,plain,
% 4.86/5.11 (~b(s(z), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[14794, 32630, 1122, 911, 32634, 32624])).
% 4.86/5.11 tff(32638,plain,
% 4.86/5.11 (r(s(z), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[701, 32637, 20942])).
% 4.86/5.11 tff(32639,plain,
% 4.86/5.11 (~r(elem!1, s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[8741, 32638, 721])).
% 4.86/5.11 tff(32640,plain,
% 4.86/5.11 (b(elem!1, s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[321, 32639, 137])).
% 4.86/5.11 tff(32641,plain,
% 4.86/5.11 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[15263, 32630, 721])).
% 4.86/5.11 tff(32642,plain,
% 4.86/5.11 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[10478, 32641, 19113])).
% 4.86/5.11 tff(32643,plain,
% 4.86/5.11 (~r(s(s(elem!1)), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[7269, 32638, 721])).
% 4.86/5.11 tff(32644,plain,
% 4.86/5.11 (b(s(s(elem!1)), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[327, 32643, 197])).
% 4.86/5.11 tff(32645,plain,
% 4.86/5.11 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[11385, 32644, 32634, 32642, 32640])).
% 4.86/5.11 tff(32646,plain,
% 4.86/5.11 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[368, 32645, 363])).
% 4.86/5.11 tff(32647,plain,
% 4.86/5.11 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[14568, 32646, 911])).
% 4.86/5.11 tff(32648,plain,
% 4.86/5.11 (b(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[6754, 32647, 871])).
% 4.86/5.11 tff(32649,plain,
% 4.86/5.11 (b(elem!1, z) <=> b(s(s(s(z))), z)),
% 4.86/5.11 inference(monotonicity,[status(thm)],[1040])).
% 4.86/5.11 tff(32650,plain,
% 4.86/5.11 (b(s(s(s(z))), z) <=> b(elem!1, z)),
% 4.86/5.11 inference(symmetry,[status(thm)],[32649])).
% 4.86/5.11 tff(32651,plain,
% 4.86/5.11 (b(elem!1, z)),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[1741, 32650])).
% 4.86/5.11 tff(32652,plain,
% 4.86/5.11 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.11 inference(monotonicity,[status(thm)],[1040])).
% 4.86/5.11 tff(32653,plain,
% 4.86/5.11 (b(s(s(s(z))), s(s(elem!1))) <=> b(elem!1, s(s(elem!1)))),
% 4.86/5.11 inference(symmetry,[status(thm)],[32652])).
% 4.86/5.11 tff(32654,plain,
% 4.86/5.11 (b(elem!1, s(s(elem!1)))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[3254, 32653])).
% 4.86/5.11 tff(32655,plain,
% 4.86/5.11 (~b(s(s(elem!1)), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[17364, 32654, 8722, 878, 32651])).
% 4.86/5.11 tff(32656,plain,
% 4.86/5.11 (r(elem!1, s(elem!1)) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.11 inference(monotonicity,[status(thm)],[1040, 16956])).
% 4.86/5.11 tff(32657,plain,
% 4.86/5.11 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(elem!1, s(elem!1))),
% 4.86/5.11 inference(symmetry,[status(thm)],[32656])).
% 4.86/5.11 tff(32658,plain,
% 4.86/5.11 (r(elem!1, s(elem!1))),
% 4.86/5.11 inference(modus_ponens,[status(thm)],[911, 32657])).
% 4.86/5.11 tff(32659,plain,
% 4.86/5.11 (~r(s(s(elem!1)), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[7117, 32658, 264])).
% 4.86/5.11 tff(32660,plain,
% 4.86/5.11 ($false),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[327, 32659, 32655, 207])).
% 4.86/5.11 tff(32661,plain,((~(elem!1 = s(s(s(z))))) | (s(s(elem!1)) = elem!1) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.11 tff(32662,plain,
% 4.86/5.11 (~(elem!1 = s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[32661, 32648, 264, 8722, 197, 911, 32636, 14782])).
% 4.86/5.11 tff(32663,plain,
% 4.86/5.11 (b(elem!1, s(s(s(z))))),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1160, 32662, 32583])).
% 4.86/5.11 tff(32664,plain,
% 4.86/5.11 (~b(s(s(s(z))), elem!1)),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[4092, 32663, 1122, 32626, 32634, 32632, 12514])).
% 4.86/5.11 tff(32665,plain,
% 4.86/5.11 (s(s(s(z))) = elem!1),
% 4.86/5.11 inference(unit_resolution,[status(thm)],[1110, 32664, 32582])).
% 4.86/5.12 tff(32666,plain,
% 4.86/5.12 (elem!1 = s(s(s(z)))),
% 4.86/5.12 inference(modus_ponens,[status(thm)],[32665, 1052])).
% 4.86/5.12 tff(32667,plain,
% 4.86/5.12 ($false),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32662, 32666])).
% 4.86/5.12 tff(32668,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (s(s(s(z))) = s(s(elem!1))) | (s(s(elem!1)) = s(s(s(s(z))))) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.12 tff(32669,plain,
% 4.86/5.12 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32668, 32442, 10433, 32026, 12174, 32024, 137, 12172, 32552, 150])).
% 4.86/5.12 tff(32670,plain,
% 4.86/5.12 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[689, 32669])).
% 4.86/5.12 tff(32671,plain,
% 4.86/5.12 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.86/5.12 inference(modus_ponens,[status(thm)],[6879, 28813])).
% 4.86/5.12 tff(32672,plain,
% 4.86/5.12 (~(elem!1 = s(s(s(z))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[16962, 16949, 28868])).
% 4.86/5.12 tff(32673,plain,
% 4.86/5.12 (b(elem!1, s(s(s(z))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1160, 32672, 1154])).
% 4.86/5.12 tff(32674,plain,
% 4.86/5.12 (~(s(s(s(z))) = elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1056, 32672])).
% 4.86/5.12 tff(32675,plain,
% 4.86/5.12 (b(s(s(s(z))), elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1110, 32674, 1104])).
% 4.86/5.12 tff(32676,plain,
% 4.86/5.12 (~b(s(s(s(s(z)))), elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[2389, 32675, 987, 539, 32673])).
% 4.86/5.12 tff(32677,plain,
% 4.86/5.12 (~b(s(s(s(s(z)))), elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[2389, 10048, 987, 539, 2381])).
% 4.86/5.12 tff(32678,plain,
% 4.86/5.12 (s(s(s(s(z)))) = elem!1),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1144, 32677, 32560])).
% 4.86/5.12 tff(32679,plain,
% 4.86/5.12 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[11442, 32678, 539, 28934, 28933, 987])).
% 4.86/5.12 tff(32680,plain,
% 4.86/5.12 (r(s(s(s(z))), s(s(elem!1)))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[6754, 32679, 871])).
% 4.86/5.12 tff(32681,plain,
% 4.86/5.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 4.86/5.12 inference(rewrite,[status(thm)],[])).
% 4.86/5.12 tff(32682,plain,
% 4.86/5.12 (((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 4.86/5.12 inference(rewrite,[status(thm)],[])).
% 4.86/5.12 tff(32683,plain,
% 4.86/5.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1))))))),
% 4.86/5.12 inference(monotonicity,[status(thm)],[32682])).
% 4.86/5.12 tff(32684,plain,
% 4.86/5.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 4.86/5.12 inference(transitivity,[status(thm)],[32683, 32681])).
% 4.86/5.12 tff(32685,plain,
% 4.86/5.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(z))))))),
% 4.86/5.12 inference(quant_inst,[status(thm)],[])).
% 4.86/5.12 tff(32686,plain,
% 4.86/5.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1))))),
% 4.86/5.12 inference(modus_ponens,[status(thm)],[32685, 32684])).
% 4.86/5.12 tff(32687,plain,
% 4.86/5.12 (~r(s(z), s(s(s(z))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32686, 82, 721, 32680])).
% 4.86/5.12 tff(32688,plain,
% 4.86/5.12 (b(s(z), s(s(s(z))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[424, 32687])).
% 4.86/5.12 tff(32689,plain,
% 4.86/5.12 (~r(s(s(s(z))), s(z))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[19136, 32680, 721])).
% 4.86/5.12 tff(32690,plain,
% 4.86/5.12 (b(s(s(s(z))), s(z))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[437, 32689])).
% 4.86/5.12 tff(32691,plain,
% 4.86/5.12 (~r(s(s(elem!1)), z)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32141, 27985, 28868, 1740, 264])).
% 4.86/5.12 tff(32692,plain,
% 4.86/5.12 (b(s(s(elem!1)), z)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[800, 32691])).
% 4.86/5.12 tff(32693,plain,
% 4.86/5.12 (~b(elem!1, z)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[17364, 32692, 8722, 28934, 28933])).
% 4.86/5.12 tff(32694,plain,
% 4.86/5.12 (r(elem!1, z)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[846, 32693, 719])).
% 4.86/5.12 tff(32695,plain,
% 4.86/5.12 (~r(elem!1, s(elem!1))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[5192, 32694, 27985, 754, 9077, 1740])).
% 4.86/5.12 tff(32696,plain,
% 4.86/5.12 (b(elem!1, s(elem!1))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[252, 32695, 232])).
% 4.86/5.12 tff(32697,plain,
% 4.86/5.12 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32165, 2381])).
% 4.86/5.12 tff(32698,plain,
% 4.86/5.12 (~r(s(elem!1), z)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[4890, 3084, 1740, 486, 458, 3993, 457])).
% 4.86/5.12 tff(32699,plain,
% 4.86/5.12 (b(s(elem!1), z)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1812, 32698])).
% 4.86/5.12 tff(32700,plain,
% 4.86/5.12 (~b(z, s(elem!1))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[4302, 32699, 486, 1740, 3083])).
% 4.86/5.12 tff(32701,plain,
% 4.86/5.12 (r(z, s(elem!1))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1615, 32700])).
% 4.86/5.12 tff(32702,plain,
% 4.86/5.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 4.86/5.12 inference(rewrite,[status(thm)],[])).
% 4.86/5.12 tff(32703,plain,
% 4.86/5.12 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 4.86/5.12 inference(rewrite,[status(thm)],[])).
% 4.86/5.12 tff(32704,plain,
% 4.86/5.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))))),
% 4.86/5.12 inference(monotonicity,[status(thm)],[32703])).
% 4.86/5.12 tff(32705,plain,
% 4.86/5.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 4.86/5.12 inference(transitivity,[status(thm)],[32704, 32702])).
% 4.86/5.12 tff(32706,plain,
% 4.86/5.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))))),
% 4.86/5.12 inference(quant_inst,[status(thm)],[])).
% 4.86/5.12 tff(32707,plain,
% 4.86/5.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))),
% 4.86/5.12 inference(modus_ponens,[status(thm)],[32706, 32705])).
% 4.86/5.12 tff(32708,plain,
% 4.86/5.12 (~b(z, s(s(s(elem!1))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32707, 338, 6387, 8722, 32699, 1740, 3084])).
% 4.86/5.12 tff(32709,plain,
% 4.86/5.12 (r(z, s(s(s(elem!1))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1373, 32708])).
% 4.86/5.12 tff(32710,plain,
% 4.86/5.12 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[7166, 32709, 32701])).
% 4.86/5.12 tff(32711,plain,
% 4.86/5.12 (b(s(elem!1), s(s(s(elem!1))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1515, 32710, 215])).
% 4.86/5.12 tff(32712,plain,
% 4.86/5.12 (~r(elem!1, s(s(s(elem!1))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[6371, 32709, 802])).
% 4.86/5.12 tff(32713,plain,
% 4.86/5.12 (~r(s(elem!1), elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[4304, 486, 234, 3083, 1740])).
% 4.86/5.12 tff(32714,plain,
% 4.86/5.12 (b(s(elem!1), elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[312, 32713, 306])).
% 4.86/5.12 tff(32715,plain,
% 4.86/5.12 (b(s(s(s(s(elem!1)))), z)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[4692, 1921, 1796])).
% 4.86/5.12 tff(32716,plain,
% 4.86/5.12 (~r(z, s(s(s(s(elem!1)))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[9964, 1921, 802, 4864, 315, 1122, 314])).
% 4.86/5.12 tff(32717,plain,
% 4.86/5.12 (b(z, s(s(s(s(elem!1)))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1698, 32716])).
% 4.86/5.12 tff(32718,plain,
% 4.86/5.12 ($false),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[9697, 32717, 32715, 8722, 264, 1921, 1740, 1496, 721])).
% 4.86/5.12 tff(32719,plain,((~(elem!1 = s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~r(elem!1, z)) | (s(s(s(s(z)))) = s(elem!1)) | (~b(elem!1, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~b(s(elem!1), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.12 tff(32720,plain,
% 4.86/5.12 (~(elem!1 = s(s(s(elem!1))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32719, 32699, 264, 1740, 8347, 721, 8722, 802, 4864, 315, 1122, 32714])).
% 4.86/5.12 tff(32721,plain,
% 4.86/5.12 (b(elem!1, s(s(s(elem!1))))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[1946, 32720, 32712])).
% 4.86/5.12 tff(32722,plain,
% 4.86/5.12 (~r(s(s(s(elem!1))), elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[6359, 32709, 234])).
% 4.86/5.12 tff(32723,plain,
% 4.86/5.12 (~(s(s(s(elem!1))) = elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[3379, 32720])).
% 4.86/5.12 tff(32724,plain,
% 4.86/5.12 (b(s(s(s(elem!1))), elem!1)),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[2162, 32723, 32722])).
% 4.86/5.12 tff(32725,plain,
% 4.86/5.12 ($false),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[19532, 32724, 32721, 234, 32711, 306, 7156, 32701, 802])).
% 4.86/5.12 tff(32726,plain,((~b(s(elem!1), s(z))) | (~r(z, elem!1)) | (s(elem!1) = elem!1) | (~r(elem!1, z)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~r(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (s(s(s(s(z)))) = s(elem!1)) | (~b(elem!1, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(z))), s(z))) | (s(s(s(z))) = s(elem!1)) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.12 tff(32727,plain,
% 4.86/5.12 (~b(s(elem!1), s(z))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32726, 32694, 294, 234, 264, 1740, 721, 8722, 32697, 32696, 1122, 210, 6387, 27985, 28868, 32690, 3993, 32688])).
% 4.86/5.12 tff(32728,plain,
% 4.86/5.12 (r(s(elem!1), s(z))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[2070, 32727, 9076])).
% 4.86/5.12 tff(32729,plain,
% 4.86/5.12 (~b(s(elem!1), s(s(elem!1)))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[7599, 3047, 763, 803, 246, 306, 762])).
% 4.86/5.12 tff(32730,plain,
% 4.86/5.12 (r(s(elem!1), s(s(elem!1)))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[3081, 32729, 1788])).
% 4.86/5.12 tff(32731,plain,
% 4.86/5.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(elem!1)))))),
% 4.86/5.12 inference(rewrite,[status(thm)],[])).
% 4.86/5.12 tff(32732,plain,
% 4.86/5.12 (((~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z)))) <=> ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(elem!1)))))),
% 4.86/5.12 inference(rewrite,[status(thm)],[])).
% 4.86/5.12 tff(32733,plain,
% 4.86/5.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(elem!1))))))),
% 4.86/5.12 inference(monotonicity,[status(thm)],[32732])).
% 4.86/5.12 tff(32734,plain,
% 4.86/5.12 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(elem!1)))))),
% 4.86/5.12 inference(transitivity,[status(thm)],[32733, 32731])).
% 4.86/5.12 tff(32735,plain,
% 4.86/5.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))))),
% 4.86/5.12 inference(quant_inst,[status(thm)],[])).
% 4.86/5.12 tff(32736,plain,
% 4.86/5.12 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~r(s(z), s(s(elem!1))))),
% 4.86/5.12 inference(modus_ponens,[status(thm)],[32735, 32734])).
% 4.86/5.12 tff(32737,plain,
% 4.86/5.12 ($false),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32736, 82, 721, 32730, 3047])).
% 4.86/5.12 tff(32738,plain,((~r(s(elem!1), s(z))) | (~r(s(z), s(s(elem!1)))) | (s(elem!1) = s(s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~r(elem!1, s(z))) | (elem!1 = s(elem!1)) | (s(elem!1) = elem!1) | (~b(elem!1, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.12 tff(32739,plain,
% 4.86/5.12 (~r(elem!1, s(z))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[32738, 32728, 6853, 28934, 721, 232, 294, 28933])).
% 4.86/5.12 tff(32740,plain,
% 4.86/5.12 (b(elem!1, s(z))),
% 4.86/5.12 inference(unit_resolution,[status(thm)],[819, 32739, 20943])).
% 4.86/5.12 tff(32741,plain,
% 4.86/5.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.12 inference(rewrite,[status(thm)],[])).
% 4.86/5.12 tff(32742,plain,
% 4.86/5.12 (((~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z)))) <=> ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.12 inference(rewrite,[status(thm)],[])).
% 4.86/5.12 tff(32743,plain,
% 4.86/5.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z)))))),
% 4.86/5.12 inference(monotonicity,[status(thm)],[32742])).
% 4.86/5.12 tff(32744,plain,
% 4.86/5.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z))))),
% 4.86/5.12 inference(transitivity,[status(thm)],[32743, 32741])).
% 4.86/5.12 tff(32745,plain,
% 4.86/5.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))))),
% 4.86/5.12 inference(quant_inst,[status(thm)],[])).
% 4.86/5.12 tff(32746,plain,
% 4.86/5.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(elem!1, s(s(s(z))))) | (~b(elem!1, s(z))) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(s(z))), s(z)))),
% 4.96/5.12 inference(modus_ponens,[status(thm)],[32745, 32744])).
% 4.96/5.12 tff(32747,plain,
% 4.96/5.12 ($false),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32746, 338, 32688, 32690, 2381, 10048, 32740])).
% 4.96/5.12 tff(32748,plain,((~r(s(z), elem!1)) | (~b(elem!1, s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(z))) = s(elem!1)) | (s(s(s(z))) = s(s(elem!1))) | (elem!1 = z) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(s(s(z))) = elem!1) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.12 tff(32749,plain,
% 4.96/5.12 (~r(s(z), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32748, 32674, 721, 234, 264, 1740, 8722, 1122, 6387, 3993, 871, 719, 539, 987, 32673, 137])).
% 4.96/5.12 tff(32750,plain,
% 4.96/5.12 (~(s(s(s(s(z)))) = elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1019, 32749, 16950])).
% 4.96/5.12 tff(32751,plain,
% 4.96/5.12 ($false),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1144, 32750, 32676, 32560])).
% 4.96/5.12 tff(32752,plain,(b(s(z), s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))) | (~r(z, elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(s(z))) = s(elem!1)) | (s(s(s(z))) = s(s(elem!1))) | (elem!1 = z) | (elem!1 = s(s(elem!1))) | r(s(s(s(z))), elem!1) | r(elem!1, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.12 tff(32753,plain,
% 4.96/5.12 (b(s(z), s(s(s(s(z)))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32752, 987, 539, 721, 234, 264, 1740, 8722, 1122, 6387, 3993, 32671, 719, 137, 1104, 1154])).
% 4.96/5.12 tff(32754,plain,
% 4.96/5.12 (b(elem!1, s(s(s(z))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1160, 1050, 1154])).
% 4.96/5.12 tff(32755,plain,
% 4.96/5.12 (b(s(s(s(z))), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1110, 1057, 1104])).
% 4.96/5.12 tff(32756,plain,
% 4.96/5.12 (~b(s(s(s(s(z)))), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[2389, 32755, 987, 539, 32754])).
% 4.96/5.12 tff(32757,plain,
% 4.96/5.12 (s(s(s(s(z)))) = elem!1),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1144, 32756, 32560])).
% 4.96/5.12 tff(32758,plain,
% 4.96/5.12 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32165, 32754])).
% 4.96/5.12 tff(32759,plain,
% 4.96/5.12 (r(s(s(s(s(z)))), z) <=> r(elem!1, z)),
% 4.96/5.12 inference(monotonicity,[status(thm)],[32757])).
% 4.96/5.12 tff(32760,plain,
% 4.96/5.12 (r(elem!1, z)),
% 4.96/5.12 inference(modus_ponens,[status(thm)],[1122, 32759])).
% 4.96/5.12 tff(32761,plain,
% 4.96/5.12 (~(s(z) = elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[873, 32671])).
% 4.96/5.12 tff(32762,plain,
% 4.96/5.12 (~r(s(z), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32748, 1057, 721, 234, 264, 1740, 8722, 1122, 6387, 3993, 32671, 719, 539, 987, 32754, 137])).
% 4.96/5.12 tff(32763,plain,
% 4.96/5.12 (b(s(z), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[701, 32762, 32761])).
% 4.96/5.12 tff(32764,plain,
% 4.96/5.12 (elem!1 = s(s(s(s(z))))),
% 4.96/5.12 inference(modus_ponens,[status(thm)],[1013, 139])).
% 4.96/5.12 tff(32765,plain,
% 4.96/5.12 (~(elem!1 = s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[696, 32761])).
% 4.96/5.12 tff(32766,plain,
% 4.96/5.12 (~r(elem!1, s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[17360, 279, 721])).
% 4.96/5.12 tff(32767,plain,
% 4.96/5.12 (b(elem!1, s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[819, 32766, 32765])).
% 4.96/5.12 tff(32768,plain,
% 4.96/5.12 (b(s(s(s(s(z)))), s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[16521, 32767, 32764])).
% 4.96/5.12 tff(32769,plain,
% 4.96/5.12 (~b(s(z), s(s(s(z))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[26532, 32768, 539, 651, 987])).
% 4.96/5.12 tff(32770,plain,
% 4.96/5.12 (r(s(z), s(s(s(z))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[424, 32769])).
% 4.96/5.12 tff(32771,plain,
% 4.96/5.12 (b(s(z), s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[3066, 3058, 28867])).
% 4.96/5.12 tff(32772,plain,
% 4.96/5.12 (~r(elem!1, s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[2715, 279, 264])).
% 4.96/5.12 tff(32773,plain,
% 4.96/5.12 (b(elem!1, s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[252, 32772, 14143])).
% 4.96/5.12 tff(32774,plain,
% 4.96/5.12 (~b(s(elem!1), s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[9859, 32773, 706, 32771, 32767])).
% 4.96/5.12 tff(32775,plain,
% 4.96/5.12 (r(s(elem!1), s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[2070, 32774, 1917])).
% 4.96/5.12 tff(32776,plain,
% 4.96/5.12 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), elem!1)),
% 4.96/5.12 inference(monotonicity,[status(thm)],[1013])).
% 4.96/5.12 tff(32777,plain,
% 4.96/5.12 (r(s(elem!1), elem!1) <=> r(s(elem!1), s(s(s(s(z)))))),
% 4.96/5.12 inference(symmetry,[status(thm)],[32776])).
% 4.96/5.12 tff(32778,plain,
% 4.96/5.12 ((~r(s(elem!1), elem!1)) <=> (~r(s(elem!1), s(s(s(s(z))))))),
% 4.96/5.12 inference(monotonicity,[status(thm)],[32777])).
% 4.96/5.12 tff(32779,plain,
% 4.96/5.12 (~r(s(elem!1), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[4304, 486, 234, 32771, 1740])).
% 4.96/5.12 tff(32780,plain,
% 4.96/5.12 (~r(s(elem!1), s(s(s(s(z)))))),
% 4.96/5.12 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 4.96/5.12 tff(32781,plain,
% 4.96/5.12 (~b(s(s(s(z))), s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[5782, 32768, 539, 651, 987])).
% 4.96/5.12 tff(32782,plain,
% 4.96/5.12 (r(s(s(s(z))), s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[437, 32781])).
% 4.96/5.12 tff(32783,plain,
% 4.96/5.12 (r(elem!1, s(elem!1)) <=> r(s(s(s(s(z)))), s(elem!1))),
% 4.96/5.12 inference(symmetry,[status(thm)],[13878])).
% 4.96/5.12 tff(32784,plain,
% 4.96/5.12 ((~r(elem!1, s(elem!1))) <=> (~r(s(s(s(s(z)))), s(elem!1)))),
% 4.96/5.12 inference(monotonicity,[status(thm)],[32783])).
% 4.96/5.12 tff(32785,plain,
% 4.96/5.12 (~r(s(s(s(s(z)))), s(elem!1))),
% 4.96/5.12 inference(modus_ponens,[status(thm)],[32772, 32784])).
% 4.96/5.12 tff(32786,plain,
% 4.96/5.12 (b(s(s(s(s(z)))), s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[4914, 32785, 4864])).
% 4.96/5.12 tff(32787,plain,
% 4.96/5.12 (s(elem!1) = s(s(s(z)))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[3702, 32786, 539, 32782, 8663, 32780, 32775])).
% 4.96/5.12 tff(32788,plain,
% 4.96/5.12 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[3655, 32787])).
% 4.96/5.12 tff(32789,plain,
% 4.96/5.12 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1924, 32788])).
% 4.96/5.12 tff(32790,plain,
% 4.96/5.12 (~r(s(s(elem!1)), z)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32141, 486, 32771, 1740, 264])).
% 4.96/5.12 tff(32791,plain,
% 4.96/5.12 (b(s(s(elem!1)), z)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[800, 32790])).
% 4.96/5.12 tff(32792,plain,
% 4.96/5.12 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32007, 279, 6387, 32791, 7208, 8722, 802])).
% 4.96/5.12 tff(32793,plain,
% 4.96/5.12 (b(elem!1, s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1946, 32792, 32789])).
% 4.96/5.12 tff(32794,plain,
% 4.96/5.12 (b(s(elem!1), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[312, 32779, 7150])).
% 4.96/5.12 tff(32795,plain,
% 4.96/5.12 (~r(s(elem!1), z)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[19002, 32793, 6387, 32791, 264, 5948, 32794, 234, 32788, 802, 8722, 7150])).
% 4.96/5.12 tff(32796,plain,
% 4.96/5.12 (b(s(elem!1), z)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1812, 32795])).
% 4.96/5.12 tff(32797,plain,
% 4.96/5.12 (~b(z, s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[4302, 32796, 486, 1740, 32771])).
% 4.96/5.12 tff(32798,plain,
% 4.96/5.12 (r(z, s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1615, 32797])).
% 4.96/5.12 tff(32799,plain,
% 4.96/5.12 (~r(z, s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[18685, 32798, 32793, 7150, 234, 5948, 32788])).
% 4.96/5.12 tff(32800,plain,
% 4.96/5.12 (b(z, s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1373, 32799])).
% 4.96/5.12 tff(32801,plain,
% 4.96/5.12 (~r(s(s(elem!1)), z)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32141, 486, 3083, 1740, 264])).
% 4.96/5.12 tff(32802,plain,
% 4.96/5.12 (b(s(s(elem!1)), z)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[800, 32801])).
% 4.96/5.12 tff(32803,plain,
% 4.96/5.12 ($false),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[12264, 32004, 18667, 8722, 6387, 878])).
% 4.96/5.12 tff(32804,plain,((~r(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~r(elem!1, z)) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.12 tff(32805,plain,
% 4.96/5.12 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32804, 254, 8722, 6387, 10550, 32802, 802])).
% 4.96/5.12 tff(32806,plain,
% 4.96/5.12 (b(elem!1, s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1946, 32805, 1925])).
% 4.96/5.12 tff(32807,plain,
% 4.96/5.12 (~r(s(elem!1), z)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[19002, 32806, 6387, 32802, 264, 215, 32714, 234, 1271, 802, 8722, 306])).
% 4.96/5.12 tff(32808,plain,
% 4.96/5.12 (b(s(elem!1), z)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1812, 32807])).
% 4.96/5.12 tff(32809,plain,
% 4.96/5.12 (~b(z, s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[4302, 32808, 486, 1740, 3083])).
% 4.96/5.12 tff(32810,plain,
% 4.96/5.12 (r(z, s(elem!1))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1615, 32809])).
% 4.96/5.12 tff(32811,plain,
% 4.96/5.12 (~r(z, s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[18685, 32810, 32806, 306, 234, 215, 1271])).
% 4.96/5.12 tff(32812,plain,
% 4.96/5.12 (b(z, s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1373, 32811])).
% 4.96/5.12 tff(32813,plain,
% 4.96/5.12 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[12266, 32812, 264, 6387, 32810])).
% 4.96/5.12 tff(32814,plain,
% 4.96/5.12 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[2619, 32813, 10550])).
% 4.96/5.12 tff(32815,plain,
% 4.96/5.12 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[2629, 32814, 264])).
% 4.96/5.12 tff(32816,plain,
% 4.96/5.12 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[1515, 32815, 215])).
% 4.96/5.12 tff(32817,plain,
% 4.96/5.12 (~b(s(s(s(elem!1))), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[19532, 32816, 234, 32806, 306, 7156, 32810, 802])).
% 4.96/5.12 tff(32818,plain,
% 4.96/5.12 (r(s(s(s(elem!1))), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[2162, 32817, 1271])).
% 4.96/5.12 tff(32819,plain,
% 4.96/5.12 ($false),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[22819, 82, 254, 32818, 32814])).
% 4.96/5.12 tff(32820,plain,((~r(s(s(elem!1)), elem!1)) | (s(s(s(elem!1))) = elem!1) | (~r(z, elem!1)) | (s(elem!1) = elem!1) | (~r(elem!1, z)) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.12 tff(32821,plain,
% 4.96/5.12 (~r(s(s(elem!1)), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32820, 32788, 234, 7150, 802, 5948, 264, 6387, 486, 1740, 32771, 8722])).
% 4.96/5.12 tff(32822,plain,
% 4.96/5.12 (b(s(s(elem!1)), elem!1)),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[327, 32821, 207])).
% 4.96/5.12 tff(32823,plain,
% 4.96/5.12 ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z)))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[31998, 338, 32822, 6387, 8722, 706])).
% 4.96/5.12 tff(32824,plain,
% 4.96/5.12 (~b(s(s(elem!1)), s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[32823, 32800])).
% 4.96/5.12 tff(32825,plain,
% 4.96/5.12 (r(s(s(elem!1)), s(z))),
% 4.96/5.12 inference(unit_resolution,[status(thm)],[784, 32824])).
% 4.96/5.12 tff(32826,plain,
% 4.96/5.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.96/5.13 inference(rewrite,[status(thm)],[])).
% 4.96/5.13 tff(32827,plain,
% 4.96/5.13 (((~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.96/5.13 inference(rewrite,[status(thm)],[])).
% 4.96/5.13 tff(32828,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), s(s(s(z)))))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32827])).
% 4.96/5.13 tff(32829,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 4.96/5.13 inference(transitivity,[status(thm)],[32828, 32826])).
% 4.96/5.13 tff(32830,plain,
% 4.96/5.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))))),
% 4.96/5.13 inference(quant_inst,[status(thm)],[])).
% 4.96/5.13 tff(32831,plain,
% 4.96/5.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(z))), elem!1)) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32830, 32829])).
% 4.96/5.13 tff(32832,plain,
% 4.96/5.13 ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(z)))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32831, 338, 32822, 6387, 8722, 2380])).
% 4.96/5.13 tff(32833,plain,
% 4.96/5.13 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32832, 32800])).
% 4.96/5.13 tff(32834,plain,
% 4.96/5.13 (r(s(s(elem!1)), s(s(s(z))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[6881, 32833, 6879])).
% 4.96/5.13 tff(32835,plain,
% 4.96/5.13 ($false),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[28843, 32834, 32825, 32770])).
% 4.96/5.13 tff(32836,plain,((~r(elem!1, s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(z))), elem!1)) | (~b(s(z), elem!1)) | (~r(z, elem!1)) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, z)) | (s(s(elem!1)) = elem!1) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(elem!1)) | (~(s(s(s(s(z)))) = elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(elem!1) = s(z)) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.13 tff(32837,plain,
% 4.96/5.13 (~r(elem!1, s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32836, 32755, 6387, 8722, 6879, 32763, 234, 486, 1740, 264, 32760, 197, 539, 32758, 32757, 32753, 987, 9076, 721])).
% 4.96/5.13 tff(32838,plain,
% 4.96/5.13 (~r(s(s(elem!1)), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32141, 486, 28868, 1740, 264])).
% 4.96/5.13 tff(32839,plain,
% 4.96/5.13 (b(s(s(elem!1)), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[800, 32838])).
% 4.96/5.13 tff(32840,plain,
% 4.96/5.13 (~r(s(elem!1), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[4304, 486, 234, 28868, 1740])).
% 4.96/5.13 tff(32841,plain,
% 4.96/5.13 (b(s(elem!1), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[312, 32840, 294])).
% 4.96/5.13 tff(32842,plain,
% 4.96/5.13 (b(elem!1, s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[321, 32837, 137])).
% 4.96/5.13 tff(32843,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 4.96/5.13 inference(rewrite,[status(thm)],[])).
% 4.96/5.13 tff(32844,plain,
% 4.96/5.13 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 4.96/5.13 inference(rewrite,[status(thm)],[])).
% 4.96/5.13 tff(32845,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1)))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32844])).
% 4.96/5.13 tff(32846,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 4.96/5.13 inference(transitivity,[status(thm)],[32845, 32843])).
% 4.96/5.13 tff(32847,plain,
% 4.96/5.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 4.96/5.13 inference(quant_inst,[status(thm)],[])).
% 4.96/5.13 tff(32848,plain,
% 4.96/5.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1)))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32847, 32846])).
% 4.96/5.13 tff(32849,plain,
% 4.96/5.13 (~b(elem!1, s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32848, 338, 32842, 6387, 32841, 32763, 28868])).
% 4.96/5.13 tff(32850,plain,
% 4.96/5.13 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32804, 254, 8722, 6387, 2614, 878, 802])).
% 4.96/5.13 tff(32851,plain,
% 4.96/5.13 (elem!1 = s(s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[1946, 32850, 1940])).
% 4.96/5.13 tff(32852,plain,
% 4.96/5.13 (~r(z, s(s(s(s(elem!1)))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[9964, 32851, 802, 4864, 22823, 1122, 314])).
% 4.96/5.13 tff(32853,plain,
% 4.96/5.13 (b(z, s(s(s(s(elem!1)))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[1698, 32852])).
% 4.96/5.13 tff(32854,plain,
% 4.96/5.13 (~r(s(s(s(s(elem!1)))), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[10029, 32851, 22823, 4864, 1122, 802, 314])).
% 4.96/5.13 tff(32855,plain,
% 4.96/5.13 (b(s(s(s(s(elem!1)))), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[1638, 32854])).
% 4.96/5.13 tff(32856,plain,
% 4.96/5.13 ($false),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[9697, 32855, 32853, 8722, 264, 32851, 1740, 1496, 721])).
% 4.96/5.13 tff(32857,plain,((~r(s(s(elem!1)), elem!1)) | (~b(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (s(s(s(s(z)))) = s(elem!1)) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, z)) | (~b(s(elem!1), elem!1)) | b(elem!1, s(s(s(elem!1)))) | (elem!1 = s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(elem!1)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.13 tff(32858,plain,
% 4.96/5.13 (~r(s(s(elem!1)), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32857, 32758, 264, 1740, 2119, 721, 8722, 1122, 32760, 32841, 32849, 232, 6387, 7060, 32839])).
% 4.96/5.13 tff(32859,plain,
% 4.96/5.13 (b(s(s(elem!1)), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[327, 32858, 197])).
% 4.96/5.13 tff(32860,plain,
% 4.96/5.13 (~b(s(s(s(z))), s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[11442, 32859, 539, 32757, 32842, 987])).
% 4.96/5.13 tff(32861,plain,
% 4.96/5.13 (r(s(s(s(z))), s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[6754, 32860, 32671])).
% 4.96/5.13 tff(32862,plain,
% 4.96/5.13 (~r(s(s(s(z))), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[19136, 32861, 721])).
% 4.96/5.13 tff(32863,plain,
% 4.96/5.13 (b(s(s(s(z))), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[437, 32862])).
% 4.96/5.13 tff(32864,plain,
% 4.96/5.13 (elem!1 = s(s(s(s(z))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32757, 139])).
% 4.96/5.13 tff(32865,plain,
% 4.96/5.13 (~b(s(s(s(s(z)))), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[5782, 32863, 539, 32753, 987])).
% 4.96/5.13 tff(32866,plain,
% 4.96/5.13 (~b(elem!1, s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[16521, 32865, 32864])).
% 4.96/5.13 tff(32867,plain,
% 4.96/5.13 (r(elem!1, s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[819, 32866, 32765])).
% 4.96/5.13 tff(32868,plain,
% 4.96/5.13 (~r(s(elem!1), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32738, 32867, 6853, 32859, 721, 232, 294, 32842])).
% 4.96/5.13 tff(32869,plain,
% 4.96/5.13 (b(s(elem!1), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[2070, 32868, 9076])).
% 4.96/5.13 tff(32870,plain,
% 4.96/5.13 (~r(elem!1, s(elem!1))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[7617, 32869, 234, 486, 1740, 32760])).
% 4.96/5.13 tff(32871,plain,
% 4.96/5.13 (b(elem!1, s(elem!1))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[252, 32870, 232])).
% 4.96/5.13 tff(32872,plain,
% 4.96/5.13 (~b(s(z), s(s(s(z))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32726, 32871, 294, 234, 264, 1740, 721, 8722, 32760, 32869, 1122, 210, 6387, 486, 28868, 32863, 3993, 32758])).
% 4.96/5.13 tff(32873,plain,
% 4.96/5.13 (r(s(z), s(s(s(z))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[424, 32872])).
% 4.96/5.13 tff(32874,plain,
% 4.96/5.13 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[10609, 32842, 32757])).
% 4.96/5.13 tff(32875,plain,
% 4.96/5.13 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), elem!1)),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32757])).
% 4.96/5.13 tff(32876,plain,
% 4.96/5.13 (b(s(s(elem!1)), elem!1) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.96/5.13 inference(symmetry,[status(thm)],[32875])).
% 4.96/5.13 tff(32877,plain,
% 4.96/5.13 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32859, 32876])).
% 4.96/5.13 tff(32878,plain,
% 4.96/5.13 (~b(s(s(elem!1)), s(s(s(z))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[11402, 32877, 539, 32874, 987])).
% 4.96/5.13 tff(32879,plain,
% 4.96/5.13 (r(s(s(elem!1)), s(s(s(z))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[6881, 32878, 6879])).
% 4.96/5.13 tff(32880,plain,
% 4.96/5.13 (~r(s(s(elem!1)), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[28843, 32879, 32873])).
% 4.96/5.13 tff(32881,plain,
% 4.96/5.13 (b(s(s(elem!1)), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[784, 32880])).
% 4.96/5.13 tff(32882,plain,
% 4.96/5.13 ((~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(z)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32015, 338, 32859, 6387, 8722, 32763])).
% 4.96/5.13 tff(32883,plain,
% 4.96/5.13 (~b(s(s(s(elem!1))), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32882, 32881])).
% 4.96/5.13 tff(32884,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))))),
% 4.96/5.13 inference(rewrite,[status(thm)],[])).
% 4.96/5.13 tff(32885,plain,
% 4.96/5.13 (((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))))),
% 4.96/5.13 inference(rewrite,[status(thm)],[])).
% 4.96/5.13 tff(32886,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1)))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32885])).
% 4.96/5.13 tff(32887,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1))))),
% 4.96/5.13 inference(transitivity,[status(thm)],[32886, 32884])).
% 4.96/5.13 tff(32888,plain,
% 4.96/5.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 4.96/5.13 inference(quant_inst,[status(thm)],[])).
% 4.96/5.13 tff(32889,plain,
% 4.96/5.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(z))), z)) | (~b(s(z), elem!1)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(elem!1)))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32888, 32887])).
% 4.96/5.13 tff(32890,plain,
% 4.96/5.13 (~b(s(s(s(z))), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32889, 338, 32841, 32763, 486, 32863, 28868])).
% 4.96/5.13 tff(32891,plain,
% 4.96/5.13 (r(s(s(s(z))), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[135, 32890])).
% 4.96/5.13 tff(32892,plain,
% 4.96/5.13 (~r(s(elem!1), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32227, 32891, 987, 32753, 32863, 32758, 3993, 1122, 32864])).
% 4.96/5.13 tff(32893,plain,
% 4.96/5.13 (b(s(elem!1), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[1812, 32892])).
% 4.96/5.13 tff(32894,plain,
% 4.96/5.13 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32719, 32893, 264, 1740, 2119, 721, 8722, 32760, 32758, 32871, 1122, 32841])).
% 4.96/5.13 tff(32895,plain,
% 4.96/5.13 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[3379, 32894])).
% 4.96/5.13 tff(32896,plain,
% 4.96/5.13 ((~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(elem!1)), s(z)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[15355, 338, 32859, 32842, 6387, 32763])).
% 4.96/5.13 tff(32897,plain,
% 4.96/5.13 (~b(s(s(s(elem!1))), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32896, 32881])).
% 4.96/5.13 tff(32898,plain,
% 4.96/5.13 (r(s(s(s(elem!1))), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[2162, 32897, 32895])).
% 4.96/5.13 tff(32899,plain,
% 4.96/5.13 ($false),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[8761, 32898, 32883, 8722, 32858, 137, 719, 32837])).
% 4.96/5.13 tff(32900,plain,((elem!1 = s(s(s(z)))) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (elem!1 = z) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (s(s(s(z))) = s(elem!1)) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(z, elem!1)) | r(s(s(s(z))), elem!1) | r(elem!1, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.13 tff(32901,plain,
% 4.96/5.13 (elem!1 = s(s(s(z)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32900, 32555, 137, 32026, 7059, 10433, 32581, 12172, 12174, 32023, 32025, 32441, 32670, 32618, 32552, 32554, 32553])).
% 4.96/5.13 tff(32902,plain,
% 4.96/5.13 (r(s(z), elem!1) <=> r(s(z), s(s(s(z))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32901])).
% 4.96/5.13 tff(32903,plain,
% 4.96/5.13 (r(s(z), s(s(s(z)))) <=> r(s(z), elem!1)),
% 4.96/5.13 inference(symmetry,[status(thm)],[32902])).
% 4.96/5.13 tff(32904,plain,
% 4.96/5.13 (b(s(z), s(s(s(s(z)))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32752, 32023, 32670, 12172, 32552, 10433, 32581, 32026, 12174, 7059, 32025, 32442, 32555, 137, 32554, 32553])).
% 4.96/5.13 tff(32905,plain,
% 4.96/5.13 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[4794, 32025])).
% 4.96/5.13 tff(32906,plain,
% 4.96/5.13 (~r(s(s(elem!1)), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32141, 32618, 32559, 32581, 10433])).
% 4.96/5.13 tff(32907,plain,
% 4.96/5.13 (b(s(s(elem!1)), z)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[800, 32906])).
% 4.96/5.13 tff(32908,plain,
% 4.96/5.13 (~b(z, elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[1046, 32901, 138])).
% 4.96/5.13 tff(32909,plain,
% 4.96/5.13 (s(elem!1) = s(s(s(s(z))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32901])).
% 4.96/5.13 tff(32910,plain,
% 4.96/5.13 (r(s(elem!1), z) <=> r(s(s(s(s(z)))), z)),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32909])).
% 4.96/5.13 tff(32911,plain,
% 4.96/5.13 (r(s(s(s(s(z)))), z) <=> r(s(elem!1), z)),
% 4.96/5.13 inference(symmetry,[status(thm)],[32910])).
% 4.96/5.13 tff(32912,plain,
% 4.96/5.13 (r(s(elem!1), z)),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[12174, 32911])).
% 4.96/5.13 tff(32913,plain,
% 4.96/5.13 (~r(s(elem!1), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[4304, 32618, 32552, 32559, 32581])).
% 4.96/5.13 tff(32914,plain,
% 4.96/5.13 (b(s(elem!1), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[312, 32913, 294])).
% 4.96/5.13 tff(32915,plain,
% 4.96/5.13 (b(elem!1, s(elem!1)) <=> b(s(s(s(z))), s(elem!1))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32901])).
% 4.96/5.13 tff(32916,plain,
% 4.96/5.13 (b(s(s(s(z))), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 4.96/5.13 inference(symmetry,[status(thm)],[32915])).
% 4.96/5.13 tff(32917,plain,
% 4.96/5.13 (b(s(s(s(z))), s(elem!1)) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32909])).
% 4.96/5.13 tff(32918,plain,
% 4.96/5.13 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(z))), s(elem!1))),
% 4.96/5.13 inference(symmetry,[status(thm)],[32917])).
% 4.96/5.13 tff(32919,plain,
% 4.96/5.13 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(elem!1))),
% 4.96/5.13 inference(transitivity,[status(thm)],[32918, 32916])).
% 4.96/5.13 tff(32920,plain,
% 4.96/5.13 (b(elem!1, s(elem!1))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32670, 32919])).
% 4.96/5.13 tff(32921,plain,
% 4.96/5.13 ((s(s(s(elem!1))) = elem!1) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[1040])).
% 4.96/5.13 tff(32922,plain,
% 4.96/5.13 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.96/5.13 inference(symmetry,[status(thm)],[32921])).
% 4.96/5.13 tff(32923,plain,
% 4.96/5.13 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.96/5.13 inference(transitivity,[status(thm)],[32922, 3376])).
% 4.96/5.13 tff(32924,plain,
% 4.96/5.13 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32923])).
% 4.96/5.13 tff(32925,plain,
% 4.96/5.13 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[3121, 32620])).
% 4.96/5.13 tff(32926,plain,
% 4.96/5.13 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32925, 32924])).
% 4.96/5.13 tff(32927,plain,
% 4.96/5.13 (~(s(s(s(z))) = s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[3303, 32925])).
% 4.96/5.13 tff(32928,plain,
% 4.96/5.13 (b(elem!1, s(s(s(elem!1)))) <=> b(s(s(s(z))), s(s(s(elem!1))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[1040])).
% 4.96/5.13 tff(32929,plain,
% 4.96/5.13 ((~b(elem!1, s(s(s(elem!1))))) <=> (~b(s(s(s(z))), s(s(s(elem!1)))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32928])).
% 4.96/5.13 tff(32930,plain,
% 4.96/5.13 (~b(s(s(s(z))), s(s(s(elem!1))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[1940, 32929])).
% 4.96/5.13 tff(32931,plain,
% 4.96/5.13 (r(s(s(s(z))), s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[3782, 21, 32930, 3778])).
% 4.96/5.13 tff(32932,plain,
% 4.96/5.13 (~r(z, s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[8491, 32931, 164])).
% 4.96/5.13 tff(32933,plain,
% 4.96/5.13 (b(z, s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[1373, 32932])).
% 4.96/5.13 tff(32934,plain,
% 4.96/5.13 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[12264, 32933, 8722, 6387, 878])).
% 4.96/5.13 tff(32935,plain,
% 4.96/5.13 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[2619, 32934, 7060])).
% 4.96/5.13 tff(32936,plain,
% 4.96/5.13 (~r(elem!1, s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[7644, 32935, 7032])).
% 4.96/5.13 tff(32937,plain,
% 4.96/5.13 (b(elem!1, s(s(elem!1)))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[321, 32936, 137])).
% 4.96/5.13 tff(32938,plain,
% 4.96/5.13 (~r(s(s(elem!1)), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[6487, 32935, 7032])).
% 4.96/5.13 tff(32939,plain,
% 4.96/5.13 (b(s(s(elem!1)), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[327, 32938, 197])).
% 4.96/5.13 tff(32940,plain,
% 4.96/5.13 ($false),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[17364, 32939, 32937, 8722, 878, 1131])).
% 4.96/5.13 tff(32941,plain,(b(elem!1, s(s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, z)) | (elem!1 = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(z))))) | (s(s(s(z))) = s(s(s(elem!1)))) | (~(elem!1 = s(s(s(z))))) | (elem!1 = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.13 tff(32942,plain,
% 4.96/5.13 (b(elem!1, s(s(s(elem!1))))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32941, 1131, 878, 8722, 137, 6387, 164, 32927, 1040, 32926])).
% 4.96/5.13 tff(32943,plain,
% 4.96/5.13 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32922])).
% 4.96/5.13 tff(32944,plain,
% 4.96/5.13 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32925, 32943])).
% 4.96/5.13 tff(32945,plain,
% 4.96/5.13 (s(s(elem!1)) = s(s(s(s(s(z)))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[16956])).
% 4.96/5.13 tff(32946,plain,
% 4.96/5.13 (s(s(s(s(s(z))))) = s(s(elem!1))),
% 4.96/5.13 inference(symmetry,[status(thm)],[32945])).
% 4.96/5.13 tff(32947,plain,
% 4.96/5.13 (b(s(s(s(elem!1))), s(s(s(s(s(z)))))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32946])).
% 4.96/5.13 tff(32948,plain,
% 4.96/5.13 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(s(s(s(z))))))),
% 4.96/5.13 inference(symmetry,[status(thm)],[32947])).
% 4.96/5.13 tff(32949,plain,
% 4.96/5.13 (b(s(s(s(elem!1))), s(s(s(s(s(z))))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[6387, 32948])).
% 4.96/5.13 tff(32950,plain,
% 4.96/5.13 (b(z, s(s(s(s(s(z)))))) <=> b(z, s(s(elem!1)))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32946])).
% 4.96/5.13 tff(32951,plain,
% 4.96/5.13 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(s(z))))))),
% 4.96/5.13 inference(symmetry,[status(thm)],[32950])).
% 4.96/5.13 tff(32952,plain,
% 4.96/5.13 (b(z, s(s(s(s(s(z))))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[8722, 32951])).
% 4.96/5.13 tff(32953,plain,
% 4.96/5.13 (b(s(z), elem!1) <=> b(s(z), s(s(s(z))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[1040])).
% 4.96/5.13 tff(32954,plain,
% 4.96/5.13 (b(s(s(s(z))), z)),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[1131, 32649])).
% 4.96/5.13 tff(32955,plain,
% 4.96/5.13 (~r(s(z), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[8741, 279, 721])).
% 4.96/5.13 tff(32956,plain,
% 4.96/5.13 (b(s(z), elem!1)),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[701, 32955, 691])).
% 4.96/5.13 tff(32957,plain,
% 4.96/5.13 (b(s(z), s(s(s(z))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32956, 32953])).
% 4.96/5.13 tff(32958,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.96/5.13 inference(rewrite,[status(thm)],[])).
% 4.96/5.13 tff(32959,plain,
% 4.96/5.13 (((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.96/5.13 inference(rewrite,[status(thm)],[])).
% 4.96/5.13 tff(32960,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[32959])).
% 4.96/5.13 tff(32961,plain,
% 4.96/5.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 4.96/5.13 inference(transitivity,[status(thm)],[32960, 32958])).
% 4.96/5.13 tff(32962,plain,
% 4.96/5.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.96/5.13 inference(quant_inst,[status(thm)],[])).
% 4.96/5.13 tff(32963,plain,
% 4.96/5.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[32962, 32961])).
% 4.96/5.13 tff(32964,plain,
% 4.96/5.13 (~b(s(s(s(z))), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[32963, 338, 32957, 1741, 1740, 987, 651])).
% 4.96/5.13 tff(32965,plain,
% 4.96/5.13 (r(elem!1, s(s(elem!1))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 4.96/5.13 inference(monotonicity,[status(thm)],[1040])).
% 4.96/5.13 tff(32966,plain,
% 4.96/5.13 (r(s(s(s(z))), s(s(elem!1)))),
% 4.96/5.13 inference(modus_ponens,[status(thm)],[279, 32965])).
% 4.96/5.13 tff(32967,plain,
% 4.96/5.13 (~r(s(s(s(z))), s(z))),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[19136, 32966, 721])).
% 4.96/5.13 tff(32968,plain,
% 4.96/5.13 ($false),
% 4.96/5.13 inference(unit_resolution,[status(thm)],[437, 32967, 32964])).
% 4.96/5.13 tff(32969,plain,((~r(elem!1, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~(elem!1 = s(s(s(z))))) | (s(z) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.14 tff(32970,plain,
% 4.96/5.14 (~r(elem!1, s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[32969, 32954, 721, 1740, 987, 651, 1040, 691])).
% 4.96/5.14 tff(32971,plain,
% 4.96/5.14 (b(elem!1, s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[321, 32970, 137])).
% 4.96/5.14 tff(32972,plain,
% 4.96/5.14 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[17364, 32971, 8722, 878, 1131])).
% 4.96/5.14 tff(32973,plain,
% 4.96/5.14 (~r(s(z), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[17495, 32972, 8722, 177, 878])).
% 4.96/5.14 tff(32974,plain,
% 4.96/5.14 (b(s(z), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[701, 32973, 691])).
% 4.96/5.14 tff(32975,plain,
% 4.96/5.14 (b(s(z), s(s(s(z))))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[32974, 32953])).
% 4.96/5.14 tff(32976,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(z))))))))),
% 4.96/5.14 inference(rewrite,[status(thm)],[])).
% 4.96/5.14 tff(32977,plain,
% 4.96/5.14 (((~b(s(s(s(elem!1))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z)))))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(z))))))))),
% 4.96/5.14 inference(rewrite,[status(thm)],[])).
% 4.96/5.14 tff(32978,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(z)))))))))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[32977])).
% 4.96/5.14 tff(32979,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(z))))))))),
% 4.96/5.14 inference(transitivity,[status(thm)],[32978, 32976])).
% 4.96/5.14 tff(32980,plain,
% 4.96/5.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))),
% 4.96/5.14 inference(quant_inst,[status(thm)],[])).
% 4.96/5.14 tff(32981,plain,
% 4.96/5.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(z)))))))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[32980, 32979])).
% 4.96/5.14 tff(32982,plain,
% 4.96/5.14 ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(z)))))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[32981, 338, 32954, 1740])).
% 4.96/5.14 tff(32983,plain,
% 4.96/5.14 (~b(z, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[32982, 32975, 32952, 32949])).
% 4.96/5.14 tff(32984,plain,
% 4.96/5.14 (r(z, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1373, 32983])).
% 4.96/5.14 tff(32985,plain,
% 4.96/5.14 (~r(s(s(s(elem!1))), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[6359, 32984, 234])).
% 4.96/5.14 tff(32986,plain,
% 4.96/5.14 (b(s(s(s(elem!1))), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2162, 32985, 32944])).
% 4.96/5.14 tff(32987,plain,
% 4.96/5.14 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[7046, 32984, 1815])).
% 4.96/5.14 tff(32988,plain,
% 4.96/5.14 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1515, 32987, 210])).
% 4.96/5.14 tff(32989,plain,
% 4.96/5.14 ($false),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[13508, 32988, 32986, 315, 314, 32942])).
% 4.96/5.14 tff(32990,plain,((~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~r(s(elem!1), z)) | (~r(z, elem!1)) | (~b(s(z), z)) | (~(elem!1 = s(s(s(z))))) | (s(z) = elem!1) | (~b(z, s(s(elem!1)))) | b(z, elem!1) | (~b(s(s(elem!1)), z)) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.14 tff(32991,plain,
% 4.96/5.14 (~b(elem!1, z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[32990, 32920, 32914, 32912, 32552, 32581, 32901, 32443, 32026, 32908, 32907, 137, 12172, 32023, 32904, 7059, 150])).
% 4.96/5.14 tff(32992,plain,
% 4.96/5.14 (r(elem!1, z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[846, 32991, 32555])).
% 4.96/5.14 tff(32993,plain,
% 4.96/5.14 ((s(s(s(elem!1))) = elem!1) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[32901])).
% 4.96/5.14 tff(32994,plain,
% 4.96/5.14 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(elem!1))) = elem!1)),
% 4.96/5.14 inference(symmetry,[status(thm)],[32993])).
% 4.96/5.14 tff(32995,plain,
% 4.96/5.14 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(elem!1))))),
% 4.96/5.14 inference(transitivity,[status(thm)],[32994, 3376])).
% 4.96/5.14 tff(32996,plain,
% 4.96/5.14 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(elem!1 = s(s(s(elem!1)))))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[32995])).
% 4.96/5.14 tff(32997,plain,
% 4.96/5.14 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[3121, 32557])).
% 4.96/5.14 tff(32998,plain,
% 4.96/5.14 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[32997, 32996])).
% 4.96/5.14 tff(32999,plain,
% 4.96/5.14 ((~(s(s(s(elem!1))) = s(s(s(z))))) <=> (~(s(s(s(elem!1))) = elem!1))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[32994])).
% 4.96/5.14 tff(33000,plain,
% 4.96/5.14 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[32997, 32999])).
% 4.96/5.14 tff(33001,plain,
% 4.96/5.14 (~b(elem!1, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[19002, 32992, 7059, 32907, 10433, 210, 32914, 32552, 33000, 32912, 32026, 294])).
% 4.96/5.14 tff(33002,plain,
% 4.96/5.14 (r(elem!1, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1946, 33001, 32998])).
% 4.96/5.14 tff(33003,plain,
% 4.96/5.14 (~r(elem!1, s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[32007, 33002, 7059, 32907, 7060, 32026, 32992])).
% 4.96/5.14 tff(33004,plain,
% 4.96/5.14 (~r(s(s(elem!1)), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[32820, 32992, 32552, 294, 33000, 210, 10433, 7059, 32618, 32581, 32559, 32026])).
% 4.96/5.14 tff(33005,plain,
% 4.96/5.14 (r(elem!1, z) <=> r(s(s(s(z))), z)),
% 4.96/5.14 inference(monotonicity,[status(thm)],[32901])).
% 4.96/5.14 tff(33006,plain,
% 4.96/5.14 (r(s(s(s(z))), z)),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[32992, 33005])).
% 4.96/5.14 tff(33007,plain,
% 4.96/5.14 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[32901])).
% 4.96/5.14 tff(33008,plain,
% 4.96/5.14 (b(elem!1, s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[321, 33003, 137])).
% 4.96/5.14 tff(33009,plain,
% 4.96/5.14 (b(s(s(s(z))), s(s(elem!1)))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33008, 33007])).
% 4.96/5.14 tff(33010,plain,
% 4.96/5.14 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[14132, 33009, 12171, 12174, 32552, 33006, 32618, 33004, 33003, 32442])).
% 4.96/5.14 tff(33011,plain,
% 4.96/5.14 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[10478, 33010, 32905])).
% 4.96/5.14 tff(33012,plain,
% 4.96/5.14 (~r(s(s(s(s(z)))), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[15263, 33011, 12172])).
% 4.96/5.14 tff(33013,plain,
% 4.96/5.14 (b(s(s(s(s(z)))), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[119, 33012])).
% 4.96/5.14 tff(33014,plain,
% 4.96/5.14 (~b(s(z), s(s(s(z))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[26532, 33013, 32670, 32904, 32023])).
% 4.96/5.14 tff(33015,plain,
% 4.96/5.14 (r(s(z), s(s(s(z))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[424, 33014])).
% 4.96/5.14 tff(33016,plain,
% 4.96/5.14 (r(s(z), elem!1)),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33015, 32903])).
% 4.96/5.14 tff(33017,plain,
% 4.96/5.14 (~r(s(s(s(elem!1))), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2167, 33002, 32992])).
% 4.96/5.14 tff(33018,plain,
% 4.96/5.14 (b(s(s(s(elem!1))), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1387, 33017])).
% 4.96/5.14 tff(33019,plain,
% 4.96/5.14 (~r(z, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[6371, 33002, 32992])).
% 4.96/5.14 tff(33020,plain,
% 4.96/5.14 (b(z, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1373, 33019])).
% 4.96/5.14 tff(33021,plain,
% 4.96/5.14 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[12264, 33020, 32026, 7059, 32907])).
% 4.96/5.14 tff(33022,plain,
% 4.96/5.14 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2619, 33021, 7060])).
% 4.96/5.14 tff(33023,plain,
% 4.96/5.14 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2629, 33022, 10433])).
% 4.96/5.14 tff(33024,plain,
% 4.96/5.14 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1515, 33023, 210])).
% 4.96/5.14 tff(33025,plain,
% 4.96/5.14 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[6302, 33022, 10433])).
% 4.96/5.14 tff(33026,plain,
% 4.96/5.14 (b(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1971, 33025, 218])).
% 4.96/5.14 tff(33027,plain,
% 4.96/5.14 (~b(z, s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1605, 33024, 33020, 33026, 33018])).
% 4.96/5.14 tff(33028,plain,
% 4.96/5.14 (r(z, s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1615, 33027])).
% 4.96/5.14 tff(33029,plain,
% 4.96/5.14 (~b(s(s(s(elem!1))), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[27239, 33028, 32552, 33026, 232, 294, 33024])).
% 4.96/5.14 tff(33030,plain,
% 4.96/5.14 (r(s(s(s(elem!1))), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2162, 33029, 33000])).
% 4.96/5.14 tff(33031,plain,
% 4.96/5.14 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[32909])).
% 4.96/5.14 tff(33032,plain,
% 4.96/5.14 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33026, 33031])).
% 4.96/5.14 tff(33033,plain,
% 4.96/5.14 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[32909])).
% 4.96/5.14 tff(33034,plain,
% 4.96/5.14 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33024, 33033])).
% 4.96/5.14 tff(33035,plain,
% 4.96/5.14 (~b(s(s(s(z))), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[5782, 33013, 32670, 32904, 32023])).
% 4.96/5.14 tff(33036,plain,
% 4.96/5.14 (r(s(s(s(z))), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[437, 33035])).
% 4.96/5.14 tff(33037,plain,
% 4.96/5.14 (~r(s(s(s(elem!1))), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[3801, 33036, 32023, 32997, 33034, 33032])).
% 4.96/5.14 tff(33038,plain,
% 4.96/5.14 (~r(s(z), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1890, 33037, 32552, 33030, 33020, 33018])).
% 4.96/5.14 tff(33039,plain,
% 4.96/5.14 ($false),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33038, 33016])).
% 4.96/5.14 tff(33040,plain,(b(z, s(s(s(z)))) | b(s(z), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(s(z)))), z) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.14 tff(33041,plain,
% 4.96/5.14 (b(z, s(s(s(z))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33040, 137, 12171, 7050, 12173, 2605])).
% 4.96/5.14 tff(33042,plain,
% 4.96/5.14 (~(elem!1 = z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[29694, 32040, 3348, 17397, 8722, 6387])).
% 4.96/5.14 tff(33043,plain,
% 4.96/5.14 (~(z = elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2752, 33042])).
% 4.96/5.14 tff(33044,plain,
% 4.96/5.14 (~r(s(s(s(z))), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[28492, 405, 1122])).
% 4.96/5.14 tff(33045,plain,
% 4.96/5.14 (b(s(s(s(z))), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[135, 33044])).
% 4.96/5.14 tff(33046,plain,
% 4.96/5.14 (~(elem!1 = z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[29694, 33045, 3348, 17397, 8722, 6387])).
% 4.96/5.14 tff(33047,plain,
% 4.96/5.14 (~b(elem!1, z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[8965, 762, 8722, 1021, 17397])).
% 4.96/5.14 tff(33048,plain,
% 4.96/5.14 (r(elem!1, z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[846, 33047, 719])).
% 4.96/5.14 tff(33049,plain,
% 4.96/5.14 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[18010, 762, 1021, 8722, 17397])).
% 4.96/5.14 tff(33050,plain,
% 4.96/5.14 (r(s(s(elem!1)), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[327, 33049, 207])).
% 4.96/5.14 tff(33051,plain,
% 4.96/5.14 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[32804, 33050, 8722, 6387, 7208, 17397, 33048])).
% 4.96/5.14 tff(33052,plain,
% 4.96/5.14 (~r(elem!1, s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[811, 33048, 405])).
% 4.96/5.14 tff(33053,plain,
% 4.96/5.14 (b(elem!1, s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[819, 33052, 13873])).
% 4.96/5.14 tff(33054,plain,
% 4.96/5.14 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1237, 13872])).
% 4.96/5.14 tff(33055,plain,
% 4.96/5.14 (b(s(s(s(elem!1))), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[12610, 1921, 831])).
% 4.96/5.14 tff(33056,plain,
% 4.96/5.14 (~b(s(s(s(elem!1))), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[3979, 1921, 3977])).
% 4.96/5.14 tff(33057,plain,
% 4.96/5.14 (r(s(s(s(elem!1))), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1387, 33056])).
% 4.96/5.14 tff(33058,plain,
% 4.96/5.14 (~r(s(z), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[11137, 33057, 405])).
% 4.96/5.14 tff(33059,plain,
% 4.96/5.14 (b(s(z), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1870, 33058])).
% 4.96/5.14 tff(33060,plain,
% 4.96/5.14 (s(s(s(s(z)))) = elem!1),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[8435, 33059, 1122, 1921, 802, 14544, 33055])).
% 4.96/5.14 tff(33061,plain,
% 4.96/5.14 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.96/5.14 inference(transitivity,[status(thm)],[33060, 1921])).
% 4.96/5.14 tff(33062,plain,
% 4.96/5.14 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(elem!1))))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33061])).
% 4.96/5.14 tff(33063,plain,
% 4.96/5.14 (s(s(s(z))) = s(s(elem!1))),
% 4.96/5.14 inference(transitivity,[status(thm)],[45, 33062, 204])).
% 4.96/5.14 tff(33064,plain,
% 4.96/5.14 ($false),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[871, 33063])).
% 4.96/5.14 tff(33065,plain,((~(elem!1 = s(s(s(elem!1))))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(elem!1, z)) | (~r(s(z), z)) | (~b(elem!1, s(z))) | b(elem!1, z)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.14 tff(33066,plain,
% 4.96/5.14 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33065, 33054, 1122, 33048, 405, 33053, 33047])).
% 4.96/5.14 tff(33067,plain,
% 4.96/5.14 (b(elem!1, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1946, 33066, 33051])).
% 4.96/5.14 tff(33068,plain,
% 4.96/5.14 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[3379, 33066])).
% 4.96/5.14 tff(33069,plain,
% 4.96/5.14 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[25645, 33050, 33068, 33067, 5948, 264])).
% 4.96/5.14 tff(33070,plain,
% 4.96/5.14 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2619, 33069, 7208])).
% 4.96/5.14 tff(33071,plain,
% 4.96/5.14 (~r(s(z), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[828, 33048, 405])).
% 4.96/5.14 tff(33072,plain,
% 4.96/5.14 (b(s(z), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[701, 33071, 13872])).
% 4.96/5.14 tff(33073,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)))),
% 4.96/5.14 inference(rewrite,[status(thm)],[])).
% 4.96/5.14 tff(33074,plain,
% 4.96/5.14 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)))),
% 4.96/5.14 inference(rewrite,[status(thm)],[])).
% 4.96/5.14 tff(33075,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1))))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33074])).
% 4.96/5.14 tff(33076,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1)))),
% 4.96/5.14 inference(transitivity,[status(thm)],[33075, 33073])).
% 4.96/5.14 tff(33077,plain,
% 4.96/5.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))),
% 4.96/5.14 inference(quant_inst,[status(thm)],[])).
% 4.96/5.14 tff(33078,plain,
% 4.96/5.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(z))) | (~b(s(z), elem!1))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33077, 33076])).
% 4.96/5.14 tff(33079,plain,
% 4.96/5.14 ((~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(z)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33078, 338, 1021, 762, 6387, 33072])).
% 4.96/5.14 tff(33080,plain,
% 4.96/5.14 (~b(z, s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33079, 33067])).
% 4.96/5.14 tff(33081,plain,
% 4.96/5.14 (r(z, s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[403, 33080])).
% 4.96/5.14 tff(33082,plain,
% 4.96/5.14 (~b(z, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[12264, 33070, 8722, 6387, 17397])).
% 4.96/5.14 tff(33083,plain,
% 4.96/5.14 (r(z, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1373, 33082])).
% 4.96/5.14 tff(33084,plain,
% 4.96/5.14 (~r(s(z), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[5440, 33083, 405])).
% 4.96/5.14 tff(33085,plain,
% 4.96/5.14 (b(s(z), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1870, 33084])).
% 4.96/5.14 tff(33086,plain,
% 4.96/5.14 (~b(s(s(s(elem!1))), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[17387, 33085, 33067, 33072, 33053])).
% 4.96/5.14 tff(33087,plain,
% 4.96/5.14 (r(s(s(s(elem!1))), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1990, 33086])).
% 4.96/5.14 tff(33088,plain,
% 4.96/5.14 (~r(s(s(s(elem!1))), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[4573, 33087, 33081])).
% 4.96/5.14 tff(33089,plain,
% 4.96/5.14 (b(s(s(s(elem!1))), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1387, 33088])).
% 4.96/5.14 tff(33090,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 4.96/5.14 inference(rewrite,[status(thm)],[])).
% 4.96/5.14 tff(33091,plain,
% 4.96/5.14 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 4.96/5.14 inference(rewrite,[status(thm)],[])).
% 4.96/5.14 tff(33092,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33091])).
% 4.96/5.14 tff(33093,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))))),
% 4.96/5.14 inference(transitivity,[status(thm)],[33092, 33090])).
% 4.96/5.14 tff(33094,plain,
% 4.96/5.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))),
% 4.96/5.14 inference(quant_inst,[status(thm)],[])).
% 4.96/5.14 tff(33095,plain,
% 4.96/5.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1)))))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33094, 33093])).
% 4.96/5.14 tff(33096,plain,
% 4.96/5.14 ($false),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33095, 338, 33089, 33067, 762, 6387, 8722, 33070])).
% 4.96/5.14 tff(33097,plain,((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, elem!1)) | (~r(s(s(s(s(z)))), z)) | (s(s(elem!1)) = elem!1) | (elem!1 = z) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.14 tff(33098,plain,
% 4.96/5.14 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33097, 1021, 8722, 405, 264, 6387, 1122, 197, 33046, 12171])).
% 4.96/5.14 tff(33099,plain,
% 4.96/5.14 ($false),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[9176, 9706])).
% 4.96/5.14 tff(33100,plain,((~(elem!1 = s(s(s(elem!1))))) | b(elem!1, s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.14 tff(33101,plain,
% 4.96/5.14 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33100, 33098, 6387])).
% 4.96/5.14 tff(33102,plain,
% 4.96/5.14 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[3379, 33101])).
% 4.96/5.14 tff(33103,plain,
% 4.96/5.14 (~(z = elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2752, 33046])).
% 4.96/5.14 tff(33104,plain,
% 4.96/5.14 (~(s(elem!1) = s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1912, 33103])).
% 4.96/5.14 tff(33105,plain,
% 4.96/5.14 (~(s(z) = s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1919, 33104])).
% 4.96/5.14 tff(33106,plain,
% 4.96/5.14 (b(s(z), s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[3066, 33105, 12216])).
% 4.96/5.14 tff(33107,plain,
% 4.96/5.14 (r(elem!1, s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[321, 33098, 137])).
% 4.96/5.14 tff(33108,plain,
% 4.96/5.14 (~r(elem!1, s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[17360, 33107, 12172])).
% 4.96/5.14 tff(33109,plain,
% 4.96/5.14 (~r(s(z), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[8741, 33107, 12172])).
% 4.96/5.14 tff(33110,plain,
% 4.96/5.14 (~r(elem!1, s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2715, 33107, 264])).
% 4.96/5.14 tff(33111,plain,
% 4.96/5.14 (b(elem!1, s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[252, 33110, 232])).
% 4.96/5.14 tff(33112,plain,
% 4.96/5.14 (~b(s(s(s(z))), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[12560, 18757, 3348, 1741, 1021])).
% 4.96/5.14 tff(33113,plain,
% 4.96/5.14 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[18067, 18757, 1021, 8722, 878])).
% 4.96/5.14 tff(33114,plain,
% 4.96/5.14 (r(s(s(elem!1)), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[327, 33113, 207])).
% 4.96/5.14 tff(33115,plain,
% 4.96/5.14 (~(s(z) = elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[867, 864, 405])).
% 4.96/5.14 tff(33116,plain,
% 4.96/5.14 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1237, 33115])).
% 4.96/5.14 tff(33117,plain,
% 4.96/5.14 (~r(s(s(elem!1)), s(s(s(z))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[6896, 82, 254, 3125])).
% 4.96/5.14 tff(33118,plain,
% 4.96/5.14 (b(s(s(elem!1)), s(s(s(z))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[6881, 33117, 1208])).
% 4.96/5.14 tff(33119,plain,
% 4.96/5.14 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 4.96/5.14 inference(rewrite,[status(thm)],[])).
% 4.96/5.14 tff(33120,plain,
% 4.96/5.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 4.96/5.14 inference(quant_inst,[status(thm)],[])).
% 4.96/5.14 tff(33121,plain,
% 4.96/5.14 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(z))), elem!1)) | (~r(s(s(s(z))), s(s(elem!1))))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33120, 33119])).
% 4.96/5.14 tff(33122,plain,
% 4.96/5.14 (~r(s(s(s(z))), s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33121, 82, 254, 3125])).
% 4.96/5.14 tff(33123,plain,
% 4.96/5.14 (b(s(s(s(z))), s(s(elem!1)))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[6754, 33122, 871])).
% 4.96/5.14 tff(33124,plain,
% 4.96/5.14 ($false),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[22429, 338, 8722, 878, 1741, 33123, 33118])).
% 4.96/5.14 tff(33125,plain,((~r(s(s(s(z))), elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.14 tff(33126,plain,
% 4.96/5.14 (~r(s(s(s(z))), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33125, 33116, 878, 1741, 8722, 33114])).
% 4.96/5.14 tff(33127,plain,
% 4.96/5.14 (s(s(s(z))) = elem!1),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1110, 33126, 33112])).
% 4.96/5.14 tff(33128,plain,
% 4.96/5.14 (s(s(s(s(z)))) = s(elem!1)),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33127])).
% 4.96/5.14 tff(33129,plain,
% 4.96/5.14 (b(s(s(s(s(z)))), s(z)) <=> b(s(elem!1), s(z))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33128])).
% 4.96/5.14 tff(33130,plain,
% 4.96/5.14 (b(s(elem!1), s(z)) <=> b(s(s(s(s(z)))), s(z))),
% 4.96/5.14 inference(symmetry,[status(thm)],[33129])).
% 4.96/5.14 tff(33131,plain,
% 4.96/5.14 ((~b(s(elem!1), s(z))) <=> (~b(s(s(s(s(z)))), s(z)))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33130])).
% 4.96/5.14 tff(33132,plain,
% 4.96/5.14 (~(elem!1 = s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[696, 33115])).
% 4.96/5.14 tff(33133,plain,
% 4.96/5.14 (b(elem!1, s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[819, 33132, 813])).
% 4.96/5.14 tff(33134,plain,
% 4.96/5.14 (b(s(z), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[701, 33115, 176])).
% 4.96/5.14 tff(33135,plain,
% 4.96/5.14 (~b(s(elem!1), s(z))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[9859, 33134, 315, 3083, 33133])).
% 4.96/5.14 tff(33136,plain,
% 4.96/5.14 (~b(s(s(s(s(z)))), s(z))),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33135, 33131])).
% 4.96/5.14 tff(33137,plain,
% 4.96/5.14 ($false),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2911, 33136])).
% 4.96/5.14 tff(33138,plain,(r(elem!1, z) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = elem!1) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | r(elem!1, s(z)) | (~b(z, s(s(s(z))))) | r(s(z), elem!1) | (elem!1 = z) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.14 tff(33139,plain,
% 4.96/5.14 (r(elem!1, z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[33138, 1021, 17397, 33045, 8722, 197, 14544, 33111, 33106, 33108, 3348, 33109, 33046, 405])).
% 4.96/5.14 tff(33140,plain,
% 4.96/5.14 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[32007, 33139, 6387, 17397, 7060, 8722, 33107])).
% 4.96/5.14 tff(33141,plain,
% 4.96/5.14 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[27499, 33111, 210, 264, 6387, 33140, 405, 1021, 33108, 8722, 17397, 33106])).
% 4.96/5.14 tff(33142,plain,
% 4.96/5.14 (r(s(s(elem!1)), elem!1)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[327, 33141, 197])).
% 4.96/5.14 tff(33143,plain,
% 4.96/5.14 (b(elem!1, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1946, 33101, 33140])).
% 4.96/5.14 tff(33144,plain,
% 4.96/5.14 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[25645, 33143, 33142, 33102, 210, 264])).
% 4.96/5.14 tff(33145,plain,
% 4.96/5.14 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[2619, 33144, 7060])).
% 4.96/5.14 tff(33146,plain,
% 4.96/5.14 (~b(z, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[12264, 33145, 8722, 6387, 17397])).
% 4.96/5.14 tff(33147,plain,
% 4.96/5.14 (r(z, s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1373, 33146])).
% 4.96/5.14 tff(33148,plain,
% 4.96/5.14 (~r(s(z), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[5440, 33147, 405])).
% 4.96/5.14 tff(33149,plain,
% 4.96/5.14 (b(s(z), s(s(s(elem!1))))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1870, 33148])).
% 4.96/5.14 tff(33150,plain,
% 4.96/5.14 (s(z) = elem!1),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[17391, 33149, 405, 33143, 6387, 8722, 33108, 33109])).
% 4.96/5.14 tff(33151,plain,
% 4.96/5.14 (s(s(z)) = s(elem!1)),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33150])).
% 4.96/5.14 tff(33152,plain,
% 4.96/5.14 (s(s(s(z))) = s(s(elem!1))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33151])).
% 4.96/5.14 tff(33153,plain,
% 4.96/5.14 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33152])).
% 4.96/5.14 tff(33154,plain,
% 4.96/5.14 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33153])).
% 4.96/5.14 tff(33155,plain,
% 4.96/5.14 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33150])).
% 4.96/5.14 tff(33156,plain,
% 4.96/5.14 (b(s(s(s(s(z)))), elem!1)),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[14544, 33155])).
% 4.96/5.14 tff(33157,plain,
% 4.96/5.14 (b(s(s(s(elem!1))), elem!1)),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[33156, 33154])).
% 4.96/5.14 tff(33158,plain,
% 4.96/5.14 (r(s(s(s(s(z)))), z) <=> r(s(s(s(elem!1))), z)),
% 4.96/5.14 inference(monotonicity,[status(thm)],[33153])).
% 4.96/5.14 tff(33159,plain,
% 4.96/5.14 (r(s(s(s(elem!1))), z)),
% 4.96/5.14 inference(modus_ponens,[status(thm)],[1122, 33158])).
% 4.96/5.14 tff(33160,plain,
% 4.96/5.14 (~r(s(elem!1), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[7046, 1502, 1353])).
% 4.96/5.14 tff(33161,plain,
% 4.96/5.14 (b(s(elem!1), z)),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1812, 33160])).
% 4.96/5.14 tff(33162,plain,
% 4.96/5.14 (b(z, s(elem!1))),
% 4.96/5.14 inference(unit_resolution,[status(thm)],[1615, 10110])).
% 4.96/5.14 tff(33163,plain,
% 4.96/5.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.96/5.15 inference(rewrite,[status(thm)],[])).
% 4.96/5.15 tff(33164,plain,
% 4.96/5.15 (((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1))))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.96/5.15 inference(rewrite,[status(thm)],[])).
% 4.96/5.15 tff(33165,plain,
% 4.96/5.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33164])).
% 4.96/5.15 tff(33166,plain,
% 4.96/5.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.96/5.15 inference(transitivity,[status(thm)],[33165, 33163])).
% 4.96/5.15 tff(33167,plain,
% 4.96/5.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.96/5.15 inference(quant_inst,[status(thm)],[])).
% 4.96/5.15 tff(33168,plain,
% 4.96/5.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[33167, 33166])).
% 4.96/5.15 tff(33169,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33168, 338, 1021, 33162, 315, 878, 33161, 1620])).
% 4.96/5.15 tff(33170,plain,((~r(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33171,plain,
% 4.96/5.15 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33170, 1620, 315, 878, 1021, 1353])).
% 4.96/5.15 tff(33172,plain,
% 4.96/5.15 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1515, 33171, 215])).
% 4.96/5.15 tff(33173,plain,
% 4.96/5.15 (~b(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[23319, 33172, 315, 1929, 2636])).
% 4.96/5.15 tff(33174,plain,
% 4.96/5.15 (r(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1971, 33173, 1962])).
% 4.96/5.15 tff(33175,plain,
% 4.96/5.15 (~r(z, s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[8904, 33174, 1301])).
% 4.96/5.15 tff(33176,plain,
% 4.96/5.15 (b(z, s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1615, 33175])).
% 4.96/5.15 tff(33177,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[7189, 338, 1021, 33176, 33172, 315, 6386, 1620])).
% 4.96/5.15 tff(33178,plain,((~b(s(elem!1), s(s(elem!1)))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33179,plain,
% 4.96/5.15 (~b(s(elem!1), s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33178, 1021, 33111, 33145, 33159, 33143, 33157, 210, 17397, 33147])).
% 4.96/5.15 tff(33180,plain,
% 4.96/5.15 (r(s(elem!1), s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[3081, 33179, 6853])).
% 4.96/5.15 tff(33181,plain,
% 4.96/5.15 (~r(s(elem!1), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[3077, 33180, 33107])).
% 4.96/5.15 tff(33182,plain,
% 4.96/5.15 (b(s(elem!1), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[312, 33181, 294])).
% 4.96/5.15 tff(33183,plain,
% 4.96/5.15 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[13508, 33182, 33111, 33143, 33157])).
% 4.96/5.15 tff(33184,plain,
% 4.96/5.15 (r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1515, 33183, 210])).
% 4.96/5.15 tff(33185,plain,
% 4.96/5.15 (~r(s(elem!1), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[7046, 33184, 33147])).
% 4.96/5.15 tff(33186,plain,
% 4.96/5.15 (b(s(elem!1), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1812, 33185])).
% 4.96/5.15 tff(33187,plain,
% 4.96/5.15 (~r(z, s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[7166, 33184, 33147])).
% 4.96/5.15 tff(33188,plain,
% 4.96/5.15 (b(z, s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1615, 33187])).
% 4.96/5.15 tff(33189,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[12860, 338, 1021, 33188, 33111, 33182, 33186])).
% 4.96/5.15 tff(33190,plain,((~b(z, elem!1)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(s(z))))) | (elem!1 = s(s(elem!1))) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33191,plain,
% 4.96/5.15 (~b(z, elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33190, 405, 12174, 6387, 8722, 264, 3348, 137, 12171])).
% 4.96/5.15 tff(33192,plain,
% 4.96/5.15 (r(z, elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[353, 33191, 33043])).
% 4.96/5.15 tff(33193,plain,
% 4.96/5.15 (~r(s(z), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[759, 33192, 405])).
% 4.96/5.15 tff(33194,plain,
% 4.96/5.15 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[13069, 749, 12171])).
% 4.96/5.15 tff(33195,plain,
% 4.96/5.15 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33100, 33194, 6387])).
% 4.96/5.15 tff(33196,plain,
% 4.96/5.15 (r(elem!1, s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[321, 33194, 137])).
% 4.96/5.15 tff(33197,plain,
% 4.96/5.15 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[32007, 33196, 6387, 17397, 7060, 8722, 11654])).
% 4.96/5.15 tff(33198,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1946, 33197, 33195, 1940])).
% 4.96/5.15 tff(33199,plain,((~(s(z) = elem!1)) | b(elem!1, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(z), z)) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33200,plain,
% 4.96/5.15 (~(s(z) = elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33199, 1940, 6387, 8722, 137, 405, 12171])).
% 4.96/5.15 tff(33201,plain,
% 4.96/5.15 (b(s(z), s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[3066, 9077, 12216])).
% 4.96/5.15 tff(33202,plain,
% 4.96/5.15 (r(z, elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[353, 177, 4711])).
% 4.96/5.15 tff(33203,plain,
% 4.96/5.15 (b(s(s(elem!1)), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[327, 22601, 197])).
% 4.96/5.15 tff(33204,plain,
% 4.96/5.15 (~b(elem!1, z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[17364, 17369, 8722, 17397, 33203])).
% 4.96/5.15 tff(33205,plain,
% 4.96/5.15 (~(s(s(s(z))) = s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1237, 17370])).
% 4.96/5.15 tff(33206,plain,
% 4.96/5.15 (r(elem!1, z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[846, 33204, 719])).
% 4.96/5.15 tff(33207,plain,
% 4.96/5.15 (~(elem!1 = s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[696, 17370])).
% 4.96/5.15 tff(33208,plain,
% 4.96/5.15 (~r(elem!1, s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[811, 33206, 405])).
% 4.96/5.15 tff(33209,plain,
% 4.96/5.15 (b(elem!1, s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[819, 33208, 33207])).
% 4.96/5.15 tff(33210,plain,
% 4.96/5.15 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33065, 33209, 1122, 33206, 405, 33205, 33204])).
% 4.96/5.15 tff(33211,plain,
% 4.96/5.15 (r(elem!1, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1946, 33210, 1940])).
% 4.96/5.15 tff(33212,plain,
% 4.96/5.15 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1959, 33211, 235])).
% 4.96/5.15 tff(33213,plain,
% 4.96/5.15 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1515, 33212, 210])).
% 4.96/5.15 tff(33214,plain,
% 4.96/5.15 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[11736, 33210, 264, 235, 2180, 33203, 17369])).
% 4.96/5.15 tff(33215,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1971, 33214, 218])).
% 4.96/5.15 tff(33216,plain,
% 4.96/5.15 (~r(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[6371, 33211, 33206])).
% 4.96/5.15 tff(33217,plain,
% 4.96/5.15 (b(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1373, 33216])).
% 4.96/5.15 tff(33218,plain,
% 4.96/5.15 (~r(s(s(s(elem!1))), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2167, 33211, 33206])).
% 4.96/5.15 tff(33219,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1387, 33218])).
% 4.96/5.15 tff(33220,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1605, 33219, 33217, 5347, 33215, 33213])).
% 4.96/5.15 tff(33221,plain,((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | b(elem!1, s(s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | b(s(z), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33222,plain,
% 4.96/5.15 (~r(elem!1, s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33221, 1940, 264, 1122, 405, 719, 8722, 12171, 137, 33202])).
% 4.96/5.15 tff(33223,plain,
% 4.96/5.15 (b(elem!1, s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[252, 33222, 232])).
% 4.96/5.15 tff(33224,plain,
% 4.96/5.15 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[18669, 5935, 6387, 878, 7208, 8722, 234])).
% 4.96/5.15 tff(33225,plain,
% 4.96/5.15 (elem!1 = s(s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1946, 33224, 1940])).
% 4.96/5.15 tff(33226,plain,
% 4.96/5.15 (s(elem!1) = s(s(s(s(elem!1))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33225])).
% 4.96/5.15 tff(33227,plain,
% 4.96/5.15 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33226])).
% 4.96/5.15 tff(33228,plain,
% 4.96/5.15 (b(s(z), s(s(s(s(elem!1)))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[3083, 33227])).
% 4.96/5.15 tff(33229,plain,
% 4.96/5.15 (s(s(s(elem!1))) = elem!1),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1924, 33225])).
% 4.96/5.15 tff(33230,plain,
% 4.96/5.15 (~b(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2149, 33229, 177])).
% 4.96/5.15 tff(33231,plain,
% 4.96/5.15 (r(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1373, 33230])).
% 4.96/5.15 tff(33232,plain,
% 4.96/5.15 (~r(s(z), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[5440, 33231, 405])).
% 4.96/5.15 tff(33233,plain,
% 4.96/5.15 (b(s(s(s(s(elem!1)))), elem!1) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33225])).
% 4.96/5.15 tff(33234,plain,
% 4.96/5.15 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[23329, 33225, 3306])).
% 4.96/5.15 tff(33235,plain,
% 4.96/5.15 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2619, 33234, 7208])).
% 4.96/5.15 tff(33236,plain,
% 4.96/5.15 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2629, 33235, 264])).
% 4.96/5.15 tff(33237,plain,
% 4.96/5.15 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1515, 33236, 5948])).
% 4.96/5.15 tff(33238,plain,
% 4.96/5.15 (b(s(elem!1), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2676, 33237, 33229])).
% 4.96/5.15 tff(33239,plain,
% 4.96/5.15 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[6576, 33238, 33229])).
% 4.96/5.15 tff(33240,plain,
% 4.96/5.15 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[33239, 33233])).
% 4.96/5.15 tff(33241,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33226])).
% 4.96/5.15 tff(33242,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[8325, 33229, 315])).
% 4.96/5.15 tff(33243,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[33242, 33241])).
% 4.96/5.15 tff(33244,plain,
% 4.96/5.15 (r(s(s(s(elem!1))), s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[19696, 33243, 33240, 33232, 33228])).
% 4.96/5.15 tff(33245,plain,
% 4.96/5.15 (s(s(elem!1)) = s(s(s(s(s(elem!1)))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33226])).
% 4.96/5.15 tff(33246,plain,
% 4.96/5.15 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 4.96/5.15 inference(symmetry,[status(thm)],[33245])).
% 4.96/5.15 tff(33247,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), s(s(s(s(s(elem!1)))))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33246])).
% 4.96/5.15 tff(33248,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))),
% 4.96/5.15 inference(symmetry,[status(thm)],[33247])).
% 4.96/5.15 tff(33249,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[6387, 33248])).
% 4.96/5.15 tff(33250,plain,
% 4.96/5.15 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(s(elem!1))))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33245])).
% 4.96/5.15 tff(33251,plain,
% 4.96/5.15 (b(z, s(s(s(s(s(elem!1))))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[8722, 33250])).
% 4.96/5.15 tff(33252,plain,
% 4.96/5.15 (b(s(z), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1870, 33232])).
% 4.96/5.15 tff(33253,plain,
% 4.96/5.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))))),
% 4.96/5.15 inference(rewrite,[status(thm)],[])).
% 4.96/5.15 tff(33254,plain,
% 4.96/5.15 (((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1))))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))))),
% 4.96/5.15 inference(rewrite,[status(thm)],[])).
% 4.96/5.15 tff(33255,plain,
% 4.96/5.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1)))))))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33254])).
% 4.96/5.15 tff(33256,plain,
% 4.96/5.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))))),
% 4.96/5.15 inference(transitivity,[status(thm)],[33255, 33253])).
% 4.96/5.15 tff(33257,plain,
% 4.96/5.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 4.96/5.15 inference(quant_inst,[status(thm)],[])).
% 4.96/5.15 tff(33258,plain,
% 4.96/5.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1)))))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[33257, 33256])).
% 4.96/5.15 tff(33259,plain,
% 4.96/5.15 (~b(s(s(s(elem!1))), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33258, 338, 33240, 33228, 33252, 33251, 33249])).
% 4.96/5.15 tff(33260,plain,
% 4.96/5.15 (r(s(s(s(elem!1))), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1387, 33259])).
% 4.96/5.15 tff(33261,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2599, 33260, 33244, 405])).
% 4.96/5.15 tff(33262,plain,(b(s(s(elem!1)), elem!1) | (~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | b(z, elem!1) | (~b(elem!1, s(elem!1))) | b(elem!1, s(s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(z, elem!1)) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33263,plain,
% 4.96/5.15 (b(s(s(elem!1)), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33262, 33223, 8722, 6387, 33201, 264, 177, 405, 1940, 17397, 33202, 197])).
% 4.96/5.15 tff(33264,plain,
% 4.96/5.15 (~r(elem!1, s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[17366, 33263, 8722, 137, 719, 12172, 405])).
% 4.96/5.15 tff(33265,plain,
% 4.96/5.15 (~r(s(z), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[759, 33202, 405])).
% 4.96/5.15 tff(33266,plain,
% 4.96/5.15 (b(s(z), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[701, 691, 33265])).
% 4.96/5.15 tff(33267,plain,
% 4.96/5.15 (~b(s(elem!1), s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[9859, 831, 315, 3083, 706])).
% 4.96/5.15 tff(33268,plain,
% 4.96/5.15 (r(s(elem!1), s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2070, 33267, 9076])).
% 4.96/5.15 tff(33269,plain,
% 4.96/5.15 (~r(s(elem!1), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[21636, 33268, 405])).
% 4.96/5.15 tff(33270,plain,
% 4.96/5.15 (b(s(elem!1), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1812, 33269])).
% 4.96/5.15 tff(33271,plain,
% 4.96/5.15 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[12264, 1595, 8722, 6387, 878])).
% 4.96/5.15 tff(33272,plain,
% 4.96/5.15 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2619, 33271, 7208])).
% 4.96/5.15 tff(33273,plain,
% 4.96/5.15 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2629, 33272, 264])).
% 4.96/5.15 tff(33274,plain,
% 4.96/5.15 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1515, 33273, 5948])).
% 4.96/5.15 tff(33275,plain,
% 4.96/5.15 (r(elem!1, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1946, 13056, 1940])).
% 4.96/5.15 tff(33276,plain,
% 4.96/5.15 (~r(s(s(s(elem!1))), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[14225, 33275, 207, 33202, 1595, 719, 6328])).
% 4.96/5.15 tff(33277,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1387, 33276])).
% 4.96/5.15 tff(33278,plain,
% 4.96/5.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.96/5.15 inference(rewrite,[status(thm)],[])).
% 4.96/5.15 tff(33279,plain,
% 4.96/5.15 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.96/5.15 inference(rewrite,[status(thm)],[])).
% 4.96/5.15 tff(33280,plain,
% 4.96/5.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1))))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33279])).
% 4.96/5.15 tff(33281,plain,
% 4.96/5.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))))),
% 4.96/5.15 inference(transitivity,[status(thm)],[33280, 33278])).
% 4.96/5.15 tff(33282,plain,
% 4.96/5.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)))),
% 4.96/5.15 inference(quant_inst,[status(thm)],[])).
% 4.96/5.15 tff(33283,plain,
% 4.96/5.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[33282, 33281])).
% 4.96/5.15 tff(33284,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33283, 338, 1595, 33277, 6387, 8722, 33274, 1796])).
% 4.96/5.15 tff(33285,plain,((~b(z, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (s(s(elem!1)) = elem!1) | (elem!1 = z) | (~r(s(s(elem!1)), s(elem!1))) | b(elem!1, s(s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33286,plain,
% 4.96/5.15 (~b(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33285, 33270, 8722, 6387, 207, 719, 264, 1940, 878, 177])).
% 4.96/5.15 tff(33287,plain,
% 4.96/5.15 (r(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1373, 33286])).
% 4.96/5.15 tff(33288,plain,
% 4.96/5.15 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[18663, 33287, 33202])).
% 4.96/5.15 tff(33289,plain,
% 4.96/5.15 (elem!1 = s(s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1946, 33288, 1940])).
% 4.96/5.15 tff(33290,plain,
% 4.96/5.15 (b(elem!1, s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33100, 33289, 6387])).
% 4.96/5.15 tff(33291,plain,
% 4.96/5.15 (~b(elem!1, z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[17364, 33290, 8722, 878, 763])).
% 4.96/5.15 tff(33292,plain,
% 4.96/5.15 (r(elem!1, z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[846, 33291, 719])).
% 4.96/5.15 tff(33293,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33065, 33292, 33291, 1122, 831, 405, 871, 33289])).
% 4.96/5.15 tff(33294,plain,((~b(elem!1, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (s(s(s(z))) = s(s(elem!1))) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | (s(s(elem!1)) = elem!1) | (~r(s(s(elem!1)), s(elem!1))) | b(z, elem!1) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33295,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33294, 16923, 11888, 405, 1122, 719, 8722, 878, 763, 6387, 1940, 207, 264, 177, 315, 3083, 33266])).
% 4.96/5.15 tff(33296,plain,((s(z) = elem!1) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | (s(s(elem!1)) = elem!1) | (~r(s(s(elem!1)), s(elem!1))) | b(z, elem!1) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | r(elem!1, s(z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33297,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33296, 33264, 33263, 1122, 719, 8722, 17397, 405, 6387, 1940, 197, 264, 177, 33223, 33201, 33200])).
% 4.96/5.15 tff(33298,plain,(b(elem!1, s(s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | (~r(s(z), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | b(z, elem!1) | (elem!1 = s(s(elem!1))) | b(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33299,plain,
% 4.96/5.15 (b(elem!1, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33298, 33042, 12174, 8722, 405, 6387, 264, 33191, 137, 12171])).
% 4.96/5.15 tff(33300,plain,
% 4.96/5.15 (~r(s(s(s(s(z)))), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[5597, 33202, 12174])).
% 4.96/5.15 tff(33301,plain,
% 4.96/5.15 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[25645, 1271, 1929, 254, 210, 264])).
% 4.96/5.15 tff(33302,plain,
% 4.96/5.15 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2619, 33301, 7060])).
% 4.96/5.15 tff(33303,plain,
% 4.96/5.15 (~b(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[12264, 33302, 8722, 6387, 17356])).
% 4.96/5.15 tff(33304,plain,
% 4.96/5.15 (r(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1373, 33303])).
% 4.96/5.15 tff(33305,plain,
% 4.96/5.15 (~r(s(s(s(elem!1))), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[6359, 33304, 234])).
% 4.96/5.15 tff(33306,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2162, 33305, 1271])).
% 4.96/5.15 tff(33307,plain,
% 4.96/5.15 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[16475, 33306, 6387, 1929, 33302])).
% 4.96/5.15 tff(33308,plain,
% 4.96/5.15 (~r(s(z), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[5440, 33304, 405])).
% 4.96/5.15 tff(33309,plain,
% 4.96/5.15 (b(s(z), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1870, 33308])).
% 4.96/5.15 tff(33310,plain,
% 4.96/5.15 (r(elem!1, s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[17391, 33309, 405, 1929, 6387, 8722, 691, 17352])).
% 4.96/5.15 tff(33311,plain,
% 4.96/5.15 (~r(elem!1, s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[17360, 33310, 721])).
% 4.96/5.15 tff(33312,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[321, 33311, 33307, 137])).
% 4.96/5.15 tff(33313,plain,((s(s(s(elem!1))) = elem!1) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (s(z) = elem!1) | (~r(z, elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33314,plain,
% 4.96/5.15 (s(s(s(elem!1))) = elem!1),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33313, 691, 721, 6387, 1929, 405, 8722, 137, 33202, 254, 264])).
% 4.96/5.15 tff(33315,plain,
% 4.96/5.15 (~b(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2149, 33314, 177])).
% 4.96/5.15 tff(33316,plain,
% 4.96/5.15 (r(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1373, 33315])).
% 4.96/5.15 tff(33317,plain,
% 4.96/5.15 (~r(s(z), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[5440, 33316, 405])).
% 4.96/5.15 tff(33318,plain,
% 4.96/5.15 (b(s(z), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1870, 33317])).
% 4.96/5.15 tff(33319,plain,
% 4.96/5.15 (r(elem!1, s(z))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[17391, 33318, 405, 1929, 6387, 8722, 691, 33265])).
% 4.96/5.15 tff(33320,plain,
% 4.96/5.15 (~b(s(s(s(s(z)))), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[32575, 33319, 8722, 405, 14535, 137, 721, 719, 33266])).
% 4.96/5.15 tff(33321,plain,
% 4.96/5.15 (s(s(s(s(z)))) = elem!1),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1144, 33320, 33300])).
% 4.96/5.15 tff(33322,plain,
% 4.96/5.15 (elem!1 = s(s(s(s(z))))),
% 4.96/5.15 inference(modus_ponens,[status(thm)],[33321, 139])).
% 4.96/5.15 tff(33323,plain,
% 4.96/5.15 (~r(elem!1, z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[811, 33319, 405])).
% 4.96/5.15 tff(33324,plain,
% 4.96/5.15 (b(elem!1, z)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[846, 33323, 719])).
% 4.96/5.15 tff(33325,plain,
% 4.96/5.15 (~(elem!1 = s(s(s(s(z)))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[32056, 33324, 12173])).
% 4.96/5.15 tff(33326,plain,
% 4.96/5.15 ($false),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33325, 33322])).
% 4.96/5.15 tff(33327,plain,((s(z) = elem!1) | b(s(s(s(s(z)))), z) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | (~r(s(z), z)) | (elem!1 = s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(z, elem!1) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.15 tff(33328,plain,
% 4.96/5.15 (s(z) = elem!1),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33327, 254, 33042, 8722, 405, 137, 12172, 33299, 6387, 33191, 12173, 264])).
% 4.96/5.15 tff(33329,plain,
% 4.96/5.15 (b(s(z), s(s(s(s(elem!1))))) <=> b(elem!1, s(s(s(s(elem!1)))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33328])).
% 4.96/5.15 tff(33330,plain,
% 4.96/5.15 (b(elem!1, s(s(s(s(elem!1))))) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.96/5.15 inference(symmetry,[status(thm)],[33329])).
% 4.96/5.15 tff(33331,plain,
% 4.96/5.15 ((~b(elem!1, s(s(s(s(elem!1)))))) <=> (~b(s(z), s(s(s(s(elem!1))))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33330])).
% 4.96/5.15 tff(33332,plain,
% 4.96/5.15 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[13069, 33328, 12171])).
% 4.96/5.15 tff(33333,plain,
% 4.96/5.15 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[33100, 33332, 6387])).
% 4.96/5.15 tff(33334,plain,
% 4.96/5.15 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[3379, 33333])).
% 4.96/5.15 tff(33335,plain,
% 4.96/5.15 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[25645, 33334, 33299, 254, 210, 264])).
% 4.96/5.15 tff(33336,plain,
% 4.96/5.15 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2619, 33335, 7060])).
% 4.96/5.15 tff(33337,plain,
% 4.96/5.15 (~b(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[12264, 33336, 8722, 6387, 17397])).
% 4.96/5.15 tff(33338,plain,
% 4.96/5.15 (r(z, s(s(s(elem!1))))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[1373, 33337])).
% 4.96/5.15 tff(33339,plain,
% 4.96/5.15 (~r(s(s(s(elem!1))), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[6359, 33338, 33192])).
% 4.96/5.15 tff(33340,plain,
% 4.96/5.15 (b(s(s(s(elem!1))), elem!1)),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[2162, 33339, 33334])).
% 4.96/5.15 tff(33341,plain,
% 4.96/5.15 (b(elem!1, s(elem!1))),
% 4.96/5.15 inference(unit_resolution,[status(thm)],[252, 22822, 232])).
% 4.96/5.15 tff(33342,plain,
% 4.96/5.15 (s(s(z)) = s(elem!1)),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33328])).
% 4.96/5.15 tff(33343,plain,
% 4.96/5.15 (s(s(s(z))) = s(s(elem!1))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33342])).
% 4.96/5.15 tff(33344,plain,
% 4.96/5.15 (s(s(elem!1)) = s(s(s(z)))),
% 4.96/5.15 inference(symmetry,[status(thm)],[33343])).
% 4.96/5.15 tff(33345,plain,
% 4.96/5.15 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(z))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33344])).
% 4.96/5.15 tff(33346,plain,
% 4.96/5.15 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.96/5.15 inference(symmetry,[status(thm)],[33345])).
% 4.96/5.15 tff(33347,plain,
% 4.96/5.15 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33342])).
% 4.96/5.15 tff(33348,plain,
% 4.96/5.15 (r(s(s(z)), s(s(s(z)))) <=> r(s(elem!1), s(s(elem!1)))),
% 4.96/5.15 inference(transitivity,[status(thm)],[33347, 33346])).
% 4.96/5.15 tff(33349,plain,
% 4.96/5.15 (b(s(z), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.96/5.15 inference(monotonicity,[status(thm)],[33328])).
% 4.96/5.16 tff(33350,plain,
% 4.96/5.16 (b(elem!1, s(s(z))) <=> b(s(z), s(s(z)))),
% 4.96/5.16 inference(symmetry,[status(thm)],[33349])).
% 4.96/5.16 tff(33351,plain,
% 4.96/5.16 (b(elem!1, s(s(z))) <=> b(elem!1, s(elem!1))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33342])).
% 4.96/5.16 tff(33352,plain,
% 4.96/5.16 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(z)))),
% 4.96/5.16 inference(symmetry,[status(thm)],[33351])).
% 4.96/5.16 tff(33353,plain,
% 4.96/5.16 (b(elem!1, s(elem!1)) <=> b(s(z), s(s(z)))),
% 4.96/5.16 inference(transitivity,[status(thm)],[33352, 33350])).
% 4.96/5.16 tff(33354,plain,
% 4.96/5.16 (b(s(z), s(s(z)))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33341, 33353])).
% 4.96/5.16 tff(33355,plain,
% 4.96/5.16 (elem!1 = s(z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[752, 33328])).
% 4.96/5.16 tff(33356,plain,
% 4.96/5.16 (r(z, s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[899, 33355, 33192])).
% 4.96/5.16 tff(33357,plain,
% 4.96/5.16 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33328])).
% 4.96/5.16 tff(33358,plain,
% 4.96/5.16 (r(s(s(s(z))), elem!1) <=> r(s(s(s(z))), s(z))),
% 4.96/5.16 inference(symmetry,[status(thm)],[33357])).
% 4.96/5.16 tff(33359,plain,
% 4.96/5.16 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33343])).
% 4.96/5.16 tff(33360,plain,
% 4.96/5.16 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(z))), elem!1)),
% 4.96/5.16 inference(symmetry,[status(thm)],[33359])).
% 4.96/5.16 tff(33361,plain,
% 4.96/5.16 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(z))), s(z))),
% 4.96/5.16 inference(transitivity,[status(thm)],[33360, 33358])).
% 4.96/5.16 tff(33362,plain,
% 4.96/5.16 (r(s(s(s(z))), s(z))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[254, 33361])).
% 4.96/5.16 tff(33363,plain,
% 4.96/5.16 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2939, 33362, 33356, 33354, 14533])).
% 4.96/5.16 tff(33364,plain,
% 4.96/5.16 (r(s(s(s(s(z)))), s(s(z)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[68, 33363])).
% 4.96/5.16 tff(33365,plain,
% 4.96/5.16 (~b(s(s(z)), s(s(s(z))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3914, 33364, 12174, 3348, 32040])).
% 4.96/5.16 tff(33366,plain,
% 4.96/5.16 (r(s(s(z)), s(s(s(z))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[534, 33365])).
% 4.96/5.16 tff(33367,plain,
% 4.96/5.16 (r(s(elem!1), s(s(elem!1)))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33366, 33348])).
% 4.96/5.16 tff(33368,plain,
% 4.96/5.16 (r(elem!1, s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[321, 33332, 137])).
% 4.96/5.16 tff(33369,plain,
% 4.96/5.16 (~r(s(elem!1), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3075, 82, 33368, 33367])).
% 4.96/5.16 tff(33370,plain,
% 4.96/5.16 (b(s(elem!1), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[312, 33369, 294])).
% 4.96/5.16 tff(33371,plain,
% 4.96/5.16 (~b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[13508, 33370, 33299, 33341, 33340])).
% 4.96/5.16 tff(33372,plain,
% 4.96/5.16 (r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1515, 33371, 210])).
% 4.96/5.16 tff(33373,plain,
% 4.96/5.16 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1336, 33334])).
% 4.96/5.16 tff(33374,plain,
% 4.96/5.16 (~(s(s(s(s(elem!1)))) = s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[19178, 33373])).
% 4.96/5.16 tff(33375,plain,
% 4.96/5.16 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[27753, 1520, 8722, 878, 1731])).
% 4.96/5.16 tff(33376,plain,
% 4.96/5.16 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1651, 33375, 1496])).
% 4.96/5.16 tff(33377,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[31553, 82, 254, 33376, 2194])).
% 4.96/5.16 tff(33378,plain,((~r(s(s(s(s(elem!1)))), s(z))) | (~r(s(s(elem!1)), elem!1)) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~(s(z) = elem!1)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33379,plain,
% 4.96/5.16 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33378, 33356, 8722, 2119, 17397, 254, 33328])).
% 4.96/5.16 tff(33380,plain,
% 4.96/5.16 (b(s(s(s(s(elem!1)))), s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1585, 33379])).
% 4.96/5.16 tff(33381,plain,
% 4.96/5.16 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1593, 33380, 33328])).
% 4.96/5.16 tff(33382,plain,
% 4.96/5.16 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[19565, 2303, 1929, 2636, 1621])).
% 4.96/5.16 tff(33383,plain,
% 4.96/5.16 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1562, 33382, 1475])).
% 4.96/5.16 tff(33384,plain,
% 4.96/5.16 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[7820, 33383, 1502])).
% 4.96/5.16 tff(33385,plain,
% 4.96/5.16 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[17655, 33384, 22908])).
% 4.96/5.16 tff(33386,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[7405, 338, 2303, 315, 314, 1621, 33385])).
% 4.96/5.16 tff(33387,plain,((~b(elem!1, s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (s(s(s(s(elem!1)))) = s(elem!1)) | (~r(s(elem!1), s(s(s(elem!1))))) | (s(s(s(s(elem!1)))) = s(s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33388,plain,
% 4.96/5.16 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33387, 33341, 33370, 33381, 33374, 33372, 2181, 33299, 33340])).
% 4.96/5.16 tff(33389,plain,
% 4.96/5.16 (~b(s(z), s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33388, 33331])).
% 4.96/5.16 tff(33390,plain,
% 4.96/5.16 (r(elem!1, z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[867, 33328, 405])).
% 4.96/5.16 tff(33391,plain,
% 4.96/5.16 (~r(z, s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[18685, 33338, 33192, 294, 33299, 210, 33334])).
% 4.96/5.16 tff(33392,plain,
% 4.96/5.16 (b(z, s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1615, 33391])).
% 4.96/5.16 tff(33393,plain,
% 4.96/5.16 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33342])).
% 4.96/5.16 tff(33394,plain,
% 4.96/5.16 (r(s(s(s(s(z)))), s(elem!1))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33364, 33393])).
% 4.96/5.16 tff(33395,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[5128, 82, 1815, 1122, 8541])).
% 4.96/5.16 tff(33396,plain,((~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33397,plain,
% 4.96/5.16 (~r(s(elem!1), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33396, 33394, 12174])).
% 4.96/5.16 tff(33398,plain,
% 4.96/5.16 (b(s(elem!1), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1812, 33397])).
% 4.96/5.16 tff(33399,plain,
% 4.96/5.16 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33328])).
% 4.96/5.16 tff(33400,plain,
% 4.96/5.16 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33399])).
% 4.96/5.16 tff(33401,plain,
% 4.96/5.16 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[2125, 33400])).
% 4.96/5.16 tff(33402,plain,
% 4.96/5.16 (r(elem!1, s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2297, 33388, 33401])).
% 4.96/5.16 tff(33403,plain,
% 4.96/5.16 (~r(z, s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2292, 2284, 802])).
% 4.96/5.16 tff(33404,plain,
% 4.96/5.16 (b(z, s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1698, 33403])).
% 4.96/5.16 tff(33405,plain,
% 4.96/5.16 (~b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[11680, 33404, 1796, 1700, 1597])).
% 4.96/5.16 tff(33406,plain,
% 4.96/5.16 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[11676, 33405, 1482])).
% 4.96/5.16 tff(33407,plain,
% 4.96/5.16 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[5975, 2284, 254])).
% 4.96/5.16 tff(33408,plain,
% 4.96/5.16 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1724, 33407, 2266])).
% 4.96/5.16 tff(33409,plain,
% 4.96/5.16 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[9639, 33408, 8722, 33404, 1700])).
% 4.96/5.16 tff(33410,plain,
% 4.96/5.16 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1651, 33409, 1496])).
% 4.96/5.16 tff(33411,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[11674, 33410, 33406, 1814])).
% 4.96/5.16 tff(33412,plain,((~r(elem!1, s(s(s(s(elem!1)))))) | (~r(s(elem!1), s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (s(elem!1) = s(s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33413,plain,
% 4.96/5.16 (~b(s(s(s(s(elem!1)))), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33412, 33402, 2119, 33373, 8722, 33367, 33398, 33392, 254, 33390])).
% 4.96/5.16 tff(33414,plain,
% 4.96/5.16 (r(s(s(s(s(elem!1)))), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1638, 33413])).
% 4.96/5.16 tff(33415,plain,
% 4.96/5.16 (~r(s(z), s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2233, 33414, 405])).
% 4.96/5.16 tff(33416,plain,
% 4.96/5.16 (b(s(z), s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2239, 33415])).
% 4.96/5.16 tff(33417,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33416, 33389])).
% 4.96/5.16 tff(33418,plain,((~r(s(s(elem!1)), elem!1)) | (~r(s(z), z)) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (elem!1 = s(s(elem!1))) | b(s(z), s(s(elem!1))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33419,plain,
% 4.96/5.16 (~r(s(s(elem!1)), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33418, 405, 8722, 3348, 6387, 264, 137, 12171, 12173])).
% 4.96/5.16 tff(33420,plain,
% 4.96/5.16 (b(s(s(elem!1)), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[327, 33419, 197])).
% 4.96/5.16 tff(33421,plain,
% 4.96/5.16 (~r(elem!1, s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[17366, 33420, 8722, 137, 33042, 12172, 405])).
% 4.96/5.16 tff(33422,plain,
% 4.96/5.16 (~(s(elem!1) = s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1912, 33043])).
% 4.96/5.16 tff(33423,plain,
% 4.96/5.16 (~(s(z) = s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1919, 33422])).
% 4.96/5.16 tff(33424,plain,
% 4.96/5.16 (b(s(z), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3066, 33423, 12216])).
% 4.96/5.16 tff(33425,plain,
% 4.96/5.16 (~r(elem!1, s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[17405, 405, 33042, 33299, 6387, 8722, 264, 33420, 12171, 137, 33192])).
% 4.96/5.16 tff(33426,plain,
% 4.96/5.16 (b(elem!1, s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[252, 33425, 232])).
% 4.96/5.16 tff(33427,plain,
% 4.96/5.16 (~b(s(elem!1), s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[9859, 16923, 315, 3083, 702])).
% 4.96/5.16 tff(33428,plain,
% 4.96/5.16 (r(s(elem!1), s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2070, 33427, 1917])).
% 4.96/5.16 tff(33429,plain,
% 4.96/5.16 (~r(s(elem!1), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[21636, 33428, 405])).
% 4.96/5.16 tff(33430,plain,
% 4.96/5.16 (b(s(elem!1), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1812, 33429])).
% 4.96/5.16 tff(33431,plain,
% 4.96/5.16 (~b(s(z), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[17391, 691, 405, 1929, 6387, 8722, 813, 176])).
% 4.96/5.16 tff(33432,plain,
% 4.96/5.16 (r(s(z), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1870, 33431])).
% 4.96/5.16 tff(33433,plain,
% 4.96/5.16 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3055, 33428, 33432])).
% 4.96/5.16 tff(33434,plain,
% 4.96/5.16 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1515, 33433, 215])).
% 4.96/5.16 tff(33435,plain,
% 4.96/5.16 (~r(s(s(s(elem!1))), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[11137, 33432, 405])).
% 4.96/5.16 tff(33436,plain,
% 4.96/5.16 (b(s(s(s(elem!1))), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1387, 33435])).
% 4.96/5.16 tff(33437,plain,
% 4.96/5.16 (~r(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[5440, 33432, 405])).
% 4.96/5.16 tff(33438,plain,
% 4.96/5.16 (b(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1373, 33437])).
% 4.96/5.16 tff(33439,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33283, 338, 33438, 33436, 6387, 8722, 33434, 33430])).
% 4.96/5.16 tff(33440,plain,((s(z) = elem!1) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(z), z)) | (s(elem!1) = s(z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | r(elem!1, s(z)) | (~b(elem!1, s(s(s(elem!1))))) | r(s(z), elem!1)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33441,plain,
% 4.96/5.16 (s(z) = elem!1),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33440, 405, 8722, 210, 6387, 33422, 33426, 33424, 33421, 33299, 33193])).
% 4.96/5.16 tff(33442,plain,
% 4.96/5.16 (s(s(z)) = s(elem!1)),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33441])).
% 4.96/5.16 tff(33443,plain,
% 4.96/5.16 (s(s(s(z))) = s(s(elem!1))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33442])).
% 4.96/5.16 tff(33444,plain,
% 4.96/5.16 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33443])).
% 4.96/5.16 tff(33445,plain,
% 4.96/5.16 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33444])).
% 4.96/5.16 tff(33446,plain,
% 4.96/5.16 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33441])).
% 4.96/5.16 tff(33447,plain,
% 4.96/5.16 (b(s(s(s(s(z)))), elem!1)),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[14535, 33446])).
% 4.96/5.16 tff(33448,plain,
% 4.96/5.16 (b(s(s(s(elem!1))), elem!1)),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33447, 33445])).
% 4.96/5.16 tff(33449,plain,
% 4.96/5.16 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[23227, 33448, 6387, 33299, 33420])).
% 4.96/5.16 tff(33450,plain,
% 4.96/5.16 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2619, 33449, 7060])).
% 4.96/5.16 tff(33451,plain,
% 4.96/5.16 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2629, 33450, 264])).
% 4.96/5.16 tff(33452,plain,
% 4.96/5.16 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1515, 33451, 210])).
% 4.96/5.16 tff(33453,plain,
% 4.96/5.16 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[6302, 33450, 264])).
% 4.96/5.16 tff(33454,plain,
% 4.96/5.16 (b(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1971, 33453, 218])).
% 4.96/5.16 tff(33455,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[23319, 33454, 33452, 33299, 33426, 33448])).
% 4.96/5.16 tff(33456,plain,((~r(s(z), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | b(s(z), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(s(z))))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33457,plain,
% 4.96/5.16 (~r(s(z), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33456, 264, 7059, 8722, 12171, 137, 3348, 12173])).
% 4.96/5.16 tff(33458,plain,
% 4.96/5.16 (b(s(z), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[26, 33457])).
% 4.96/5.16 tff(33459,plain,
% 4.96/5.16 (~(elem!1 = z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[7088, 235, 32138])).
% 4.96/5.16 tff(33460,plain,
% 4.96/5.16 (~(z = elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2752, 33459])).
% 4.96/5.16 tff(33461,plain,
% 4.96/5.16 (~(s(elem!1) = s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1912, 33460])).
% 4.96/5.16 tff(33462,plain,
% 4.96/5.16 (~(s(z) = s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1919, 33461])).
% 4.96/5.16 tff(33463,plain,
% 4.96/5.16 (b(s(z), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3066, 33462, 3063])).
% 4.96/5.16 tff(33464,plain,
% 4.96/5.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.16 inference(rewrite,[status(thm)],[])).
% 4.96/5.16 tff(33465,plain,
% 4.96/5.16 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.16 inference(rewrite,[status(thm)],[])).
% 4.96/5.16 tff(33466,plain,
% 4.96/5.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33465])).
% 4.96/5.16 tff(33467,plain,
% 4.96/5.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.16 inference(transitivity,[status(thm)],[33466, 33464])).
% 4.96/5.16 tff(33468,plain,
% 4.96/5.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.16 inference(quant_inst,[status(thm)],[])).
% 4.96/5.16 tff(33469,plain,
% 4.96/5.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33468, 33467])).
% 4.96/5.16 tff(33470,plain,
% 4.96/5.16 ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33469, 338, 7059, 8722, 12433, 1740])).
% 4.96/5.16 tff(33471,plain,
% 4.96/5.16 (~b(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33470, 33463])).
% 4.96/5.16 tff(33472,plain,
% 4.96/5.16 (r(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1373, 33471])).
% 4.96/5.16 tff(33473,plain,
% 4.96/5.16 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[7217, 33472, 787])).
% 4.96/5.16 tff(33474,plain,
% 4.96/5.16 (b(s(s(s(elem!1))), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[10324, 33473, 7050, 1740, 137, 1940, 691, 33471])).
% 4.96/5.16 tff(33475,plain,
% 4.96/5.16 (b(elem!1, z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[6374, 33474, 1940, 33459, 33472])).
% 4.96/5.16 tff(33476,plain,
% 4.96/5.16 (~b(z, elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[8731, 33475, 8722, 17369, 33203])).
% 4.96/5.16 tff(33477,plain,
% 4.96/5.16 (r(z, elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[353, 33476, 33460])).
% 4.96/5.16 tff(33478,plain,
% 4.96/5.16 (~r(s(s(s(s(z)))), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[5597, 33477, 12174])).
% 4.96/5.16 tff(33479,plain,
% 4.96/5.16 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[13780, 82, 787, 12174])).
% 4.96/5.16 tff(33480,plain,
% 4.96/5.16 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2619, 33473, 7060])).
% 4.96/5.16 tff(33481,plain,
% 4.96/5.16 (~b(s(s(s(elem!1))), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[10569, 33480, 33203, 7059, 17369])).
% 4.96/5.16 tff(33482,plain,
% 4.96/5.16 (~r(s(s(s(elem!1))), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[6359, 33477, 33472])).
% 4.96/5.16 tff(33483,plain,
% 4.96/5.16 (s(s(s(elem!1))) = elem!1),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2162, 33482, 33481])).
% 4.96/5.16 tff(33484,plain,
% 4.96/5.16 (~(s(elem!1) = s(s(s(z))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3655, 33483])).
% 4.96/5.16 tff(33485,plain,
% 4.96/5.16 (~(s(s(s(z))) = s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3985, 33484])).
% 4.96/5.16 tff(33486,plain,
% 4.96/5.16 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[4794, 33485])).
% 4.96/5.16 tff(33487,plain,
% 4.96/5.16 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[10478, 33486, 33479])).
% 4.96/5.16 tff(33488,plain,
% 4.96/5.16 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[14044, 787, 12174])).
% 4.96/5.16 tff(33489,plain,
% 4.96/5.16 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[11454, 33486])).
% 4.96/5.16 tff(33490,plain,
% 4.96/5.16 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[368, 33489, 33488])).
% 4.96/5.16 tff(33491,plain,
% 4.96/5.16 (~b(s(s(s(s(z)))), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[11385, 33490, 33203, 17369, 33487])).
% 4.96/5.16 tff(33492,plain,
% 4.96/5.16 (s(s(s(s(z)))) = elem!1),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1144, 33491, 33478])).
% 4.96/5.16 tff(33493,plain,
% 4.96/5.16 (elem!1 = s(s(s(s(z))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33492, 139])).
% 4.96/5.16 tff(33494,plain,
% 4.96/5.16 (~(elem!1 = s(s(s(s(z)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[32056, 33475, 12173])).
% 4.96/5.16 tff(33495,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33494, 33493])).
% 4.96/5.16 tff(33496,plain,((~r(elem!1, s(elem!1))) | (~b(z, s(s(elem!1)))) | b(s(s(s(s(z)))), z) | b(elem!1, s(s(s(elem!1)))) | r(s(s(s(elem!1))), s(s(elem!1))) | (~b(s(z), z)) | (elem!1 = s(s(elem!1))) | (s(z) = elem!1) | (~r(s(s(elem!1)), z)) | r(s(z), s(elem!1)) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33497,plain,
% 4.96/5.16 (~r(elem!1, s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33496, 691, 12173, 1940, 7050, 1740, 137, 8722, 10647, 28867, 264])).
% 4.96/5.16 tff(33498,plain,
% 4.96/5.16 ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33469, 338, 6387, 8722, 1796, 1740])).
% 4.96/5.16 tff(33499,plain,
% 4.96/5.16 (~b(s(z), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33498, 1595])).
% 4.96/5.16 tff(33500,plain,
% 4.96/5.16 (s(z) = s(elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3066, 33499, 3063])).
% 4.96/5.16 tff(33501,plain,
% 4.96/5.16 (s(elem!1) = s(z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1919, 33500])).
% 4.96/5.16 tff(33502,plain,
% 4.96/5.16 (z = elem!1),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1912, 33501])).
% 4.96/5.16 tff(33503,plain,
% 4.96/5.16 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33502])).
% 4.96/5.16 tff(33504,plain,
% 4.96/5.16 (b(elem!1, s(s(s(elem!1)))) <=> b(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(symmetry,[status(thm)],[33503])).
% 4.96/5.16 tff(33505,plain,
% 4.96/5.16 ((~b(elem!1, s(s(s(elem!1))))) <=> (~b(z, s(s(s(elem!1)))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33504])).
% 4.96/5.16 tff(33506,plain,
% 4.96/5.16 (~b(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[1940, 33505])).
% 4.96/5.16 tff(33507,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1595, 33506])).
% 4.96/5.16 tff(33508,plain,((~b(z, s(s(s(elem!1))))) | b(elem!1, s(s(s(elem!1)))) | r(s(z), s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33509,plain,
% 4.96/5.16 (~b(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33508, 10649, 28867, 7059, 8722, 1940, 1740])).
% 4.96/5.16 tff(33510,plain,
% 4.96/5.16 (~r(z, s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[9003, 10647, 264])).
% 4.96/5.16 tff(33511,plain,
% 4.96/5.16 (b(z, s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1615, 33510])).
% 4.96/5.16 tff(33512,plain,
% 4.96/5.16 (~b(s(z), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33498, 2794])).
% 4.96/5.16 tff(33513,plain,
% 4.96/5.16 (s(z) = s(elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3066, 33512, 3063])).
% 4.96/5.16 tff(33514,plain,
% 4.96/5.16 (s(elem!1) = s(z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1919, 33513])).
% 4.96/5.16 tff(33515,plain,
% 4.96/5.16 (z = elem!1),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1912, 33514])).
% 4.96/5.16 tff(33516,plain,
% 4.96/5.16 (elem!1 = z),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2752, 33515])).
% 4.96/5.16 tff(33517,plain,
% 4.96/5.16 (~b(z, elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1036, 33516])).
% 4.96/5.16 tff(33518,plain,
% 4.96/5.16 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2149, 33517, 2794])).
% 4.96/5.16 tff(33519,plain,
% 4.96/5.16 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2802, 33516, 2793])).
% 4.96/5.16 tff(33520,plain,
% 4.96/5.16 (elem!1 = s(s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1946, 33519, 1940])).
% 4.96/5.16 tff(33521,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1924, 33520, 33518])).
% 4.96/5.16 tff(33522,plain,(r(z, s(s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | r(s(z), s(elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33523,plain,
% 4.96/5.16 (r(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33522, 10649, 28867, 7059, 8722, 1940, 1740])).
% 4.96/5.16 tff(33524,plain,
% 4.96/5.16 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[7217, 33523, 10647])).
% 4.96/5.16 tff(33525,plain,
% 4.96/5.16 (b(s(s(s(elem!1))), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[10324, 2138, 7050, 1740, 137, 1940, 33524, 691])).
% 4.96/5.16 tff(33526,plain,
% 4.96/5.16 (~(elem!1 = z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[25711, 2138, 3348])).
% 4.96/5.16 tff(33527,plain,
% 4.96/5.16 (b(elem!1, z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[6374, 719, 1940, 1596, 1353])).
% 4.96/5.16 tff(33528,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[7200, 4712, 33527, 1597, 1796, 315])).
% 4.96/5.16 tff(33529,plain,((elem!1 = z) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | r(z, elem!1) | b(elem!1, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33530,plain,
% 4.96/5.16 (r(z, elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33529, 33526, 10649, 315, 33511, 1940, 33525, 33523])).
% 4.96/5.16 tff(33531,plain,
% 4.96/5.16 (~r(s(s(elem!1)), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2552, 33530, 10647])).
% 4.96/5.16 tff(33532,plain,
% 4.96/5.16 (b(s(s(elem!1)), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[327, 33531, 197])).
% 4.96/5.16 tff(33533,plain,
% 4.96/5.16 (~b(z, s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[10652, 33532, 28867, 795, 1740, 264, 33511])).
% 4.96/5.16 tff(33534,plain,
% 4.96/5.16 (~(z = elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2752, 33526])).
% 4.96/5.16 tff(33535,plain,
% 4.96/5.16 (~(s(elem!1) = s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1912, 33534])).
% 4.96/5.16 tff(33536,plain,
% 4.96/5.16 (~(s(z) = s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1919, 33535])).
% 4.96/5.16 tff(33537,plain,
% 4.96/5.16 (b(s(z), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3066, 33536, 28867])).
% 4.96/5.16 tff(33538,plain,
% 4.96/5.16 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[18663, 33530, 33523])).
% 4.96/5.16 tff(33539,plain,
% 4.96/5.16 (elem!1 = s(s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1946, 33538, 1940])).
% 4.96/5.16 tff(33540,plain,
% 4.96/5.16 (~r(z, s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[9875, 33539, 8722, 264, 1740, 2119, 721, 315, 33537, 691, 33530])).
% 4.96/5.16 tff(33541,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[403, 33540, 33533])).
% 4.96/5.16 tff(33542,plain,(b(z, s(s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~r(s(z), s(s(elem!1)))) | (~b(elem!1, s(elem!1))) | (s(z) = elem!1) | b(s(s(elem!1)), z) | b(elem!1, s(s(s(elem!1)))) | (~b(z, s(s(s(z))))) | r(s(s(s(elem!1))), s(s(elem!1))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33543,plain,
% 4.96/5.16 (~b(elem!1, s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33542, 691, 264, 1740, 721, 8722, 33509, 795, 1940, 3348, 7050, 137])).
% 4.96/5.16 tff(33544,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[252, 33543, 33497, 232])).
% 4.96/5.16 tff(33545,plain,((s(z) = elem!1) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~r(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | b(s(s(elem!1)), z) | b(elem!1, s(s(s(elem!1)))) | (~b(z, s(s(s(z))))) | r(s(s(s(elem!1))), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33546,plain,
% 4.96/5.16 (s(z) = elem!1),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33545, 795, 33458, 12172, 8722, 264, 1940, 3348, 7050, 137, 12173])).
% 4.96/5.16 tff(33547,plain,
% 4.96/5.16 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[13069, 33546, 12171])).
% 4.96/5.16 tff(33548,plain,
% 4.96/5.16 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33100, 33547, 7059])).
% 4.96/5.16 tff(33549,plain,
% 4.96/5.16 (r(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33522, 10649, 12216, 7059, 8722, 1940, 33458])).
% 4.96/5.16 tff(33550,plain,
% 4.96/5.16 (~b(z, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33508, 10649, 12216, 7059, 8722, 1940, 33458])).
% 4.96/5.16 tff(33551,plain,
% 4.96/5.16 (~(elem!1 = z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[25711, 33550, 3348])).
% 4.96/5.16 tff(33552,plain,
% 4.96/5.16 (~(z = elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[2752, 33551])).
% 4.96/5.16 tff(33553,plain,
% 4.96/5.16 (~(s(elem!1) = s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1912, 33552])).
% 4.96/5.16 tff(33554,plain,
% 4.96/5.16 (~(s(z) = s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1919, 33553])).
% 4.96/5.16 tff(33555,plain,
% 4.96/5.16 (b(s(z), s(elem!1))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3066, 33554, 12216])).
% 4.96/5.16 tff(33556,plain,
% 4.96/5.16 (~b(z, s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[32141, 33555, 10647, 33458, 264])).
% 4.96/5.16 tff(33557,plain,
% 4.96/5.16 (r(z, s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[403, 33556])).
% 4.96/5.16 tff(33558,plain,
% 4.96/5.16 (r(z, elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1733, 33546, 33557])).
% 4.96/5.16 tff(33559,plain,
% 4.96/5.16 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[18663, 33558, 33549])).
% 4.96/5.16 tff(33560,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1946, 33559, 33548, 1940])).
% 4.96/5.16 tff(33561,plain,(b(s(s(elem!1)), z) | b(elem!1, s(s(s(elem!1)))) | b(s(z), s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(s(z))))) | r(s(s(s(elem!1))), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33562,plain,
% 4.96/5.16 (b(s(s(elem!1)), z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33561, 1940, 12171, 8722, 264, 3348, 7050, 137, 12173])).
% 4.96/5.16 tff(33563,plain,
% 4.96/5.16 (r(elem!1, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1946, 22598, 1940])).
% 4.96/5.16 tff(33564,plain,
% 4.96/5.16 (~r(elem!1, z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[6371, 33563, 7031])).
% 4.96/5.16 tff(33565,plain,
% 4.96/5.16 (b(elem!1, z)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[846, 33564, 719])).
% 4.96/5.16 tff(33566,plain,
% 4.96/5.16 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[8965, 33565, 8722, 1021, 878])).
% 4.96/5.16 tff(33567,plain,
% 4.96/5.16 (r(elem!1, s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[321, 33566, 137])).
% 4.96/5.16 tff(33568,plain,
% 4.96/5.16 (~r(elem!1, s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[17360, 33567, 721])).
% 4.96/5.16 tff(33569,plain,
% 4.96/5.16 (b(elem!1, s(z))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[819, 33568, 697])).
% 4.96/5.16 tff(33570,plain,
% 4.96/5.16 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[18067, 33565, 1021, 8722, 878])).
% 4.96/5.16 tff(33571,plain,
% 4.96/5.16 (r(s(s(elem!1)), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[327, 33570, 197])).
% 4.96/5.16 tff(33572,plain,
% 4.96/5.16 (~r(s(z), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[7269, 33571, 721])).
% 4.96/5.16 tff(33573,plain,
% 4.96/5.16 (b(s(z), elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[701, 33572, 691])).
% 4.96/5.16 tff(33574,plain,
% 4.96/5.16 ($false),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[9043, 338, 1021, 33565, 33573, 1740, 33569])).
% 4.96/5.16 tff(33575,plain,((~b(z, elem!1)) | (~b(s(z), z)) | (s(z) = elem!1) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (elem!1 = z) | b(elem!1, s(s(s(elem!1)))) | b(z, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.16 tff(33576,plain,
% 4.96/5.16 (~b(z, elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33575, 691, 1740, 721, 137, 8722, 878, 719, 1940, 2138])).
% 4.96/5.16 tff(33577,plain,
% 4.96/5.16 (r(z, elem!1)),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[353, 33576, 4711])).
% 4.96/5.16 tff(33578,plain,
% 4.96/5.16 (~r(elem!1, s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[18663, 33577, 7031])).
% 4.96/5.16 tff(33579,plain,
% 4.96/5.16 (elem!1 = s(s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1946, 33578, 1940])).
% 4.96/5.16 tff(33580,plain,
% 4.96/5.16 (b(s(z), elem!1) <=> b(s(z), s(s(s(elem!1))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33579])).
% 4.96/5.16 tff(33581,plain,
% 4.96/5.16 (b(elem!1, s(s(elem!1)))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33100, 33579, 6387])).
% 4.96/5.16 tff(33582,plain,
% 4.96/5.16 (s(elem!1) = s(s(s(s(elem!1))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33579])).
% 4.96/5.16 tff(33583,plain,
% 4.96/5.16 (r(z, s(elem!1)) <=> r(z, s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33582])).
% 4.96/5.16 tff(33584,plain,
% 4.96/5.16 (r(z, s(s(s(s(elem!1))))) <=> r(z, s(elem!1))),
% 4.96/5.16 inference(symmetry,[status(thm)],[33583])).
% 4.96/5.16 tff(33585,plain,
% 4.96/5.16 (s(s(elem!1)) = s(s(s(s(s(elem!1)))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33582])).
% 4.96/5.16 tff(33586,plain,
% 4.96/5.16 (s(s(s(s(s(elem!1))))) = s(s(elem!1))),
% 4.96/5.16 inference(symmetry,[status(thm)],[33585])).
% 4.96/5.16 tff(33587,plain,
% 4.96/5.16 (b(s(s(s(elem!1))), s(s(s(s(s(elem!1)))))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33586])).
% 4.96/5.16 tff(33588,plain,
% 4.96/5.16 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))),
% 4.96/5.16 inference(symmetry,[status(thm)],[33587])).
% 4.96/5.16 tff(33589,plain,
% 4.96/5.16 (b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[6387, 33588])).
% 4.96/5.16 tff(33590,plain,
% 4.96/5.16 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(s(elem!1))))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33585])).
% 4.96/5.16 tff(33591,plain,
% 4.96/5.16 (b(z, s(s(s(s(s(elem!1))))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[8722, 33590])).
% 4.96/5.16 tff(33592,plain,
% 4.96/5.16 (r(s(s(s(s(elem!1)))), z)),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[1815, 9588])).
% 4.96/5.16 tff(33593,plain,
% 4.96/5.16 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.96/5.16 inference(rewrite,[status(thm)],[])).
% 4.96/5.16 tff(33594,plain,
% 4.96/5.16 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.96/5.16 inference(rewrite,[status(thm)],[])).
% 4.96/5.16 tff(33595,plain,
% 4.96/5.16 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[33594])).
% 4.96/5.16 tff(33596,plain,
% 4.96/5.16 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.96/5.16 inference(transitivity,[status(thm)],[33595, 33593])).
% 4.96/5.16 tff(33597,plain,
% 4.96/5.16 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.96/5.16 inference(quant_inst,[status(thm)],[])).
% 4.96/5.16 tff(33598,plain,
% 4.96/5.16 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33597, 33596])).
% 4.96/5.16 tff(33599,plain,
% 4.96/5.16 (~r(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[33598, 82, 33592, 1122])).
% 4.96/5.16 tff(33600,plain,
% 4.96/5.16 (b(s(s(s(s(elem!1)))), s(s(s(s(z)))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[12630, 33599, 12424])).
% 4.96/5.16 tff(33601,plain,
% 4.96/5.16 ((~r(s(s(s(s(z)))), elem!1)) <=> (~r(s(s(s(s(z)))), s(s(s(elem!1)))))),
% 4.96/5.16 inference(monotonicity,[status(thm)],[3732])).
% 4.96/5.16 tff(33602,plain,
% 4.96/5.16 (~r(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[32560, 33601])).
% 4.96/5.16 tff(33603,plain,
% 4.96/5.16 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[3768, 3761, 33602])).
% 4.96/5.16 tff(33604,plain,
% 4.96/5.16 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[7046, 1815, 1353])).
% 4.96/5.16 tff(33605,plain,
% 4.96/5.16 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.16 inference(unit_resolution,[status(thm)],[1515, 33604, 215])).
% 4.96/5.16 tff(33606,plain,
% 4.96/5.16 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.16 inference(modus_ponens,[status(thm)],[33605, 12301])).
% 4.96/5.16 tff(33607,plain,
% 4.96/5.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.96/5.17 inference(rewrite,[status(thm)],[])).
% 4.96/5.17 tff(33608,plain,
% 4.96/5.17 (((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.96/5.17 inference(rewrite,[status(thm)],[])).
% 4.96/5.17 tff(33609,plain,
% 4.96/5.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33608])).
% 4.96/5.17 tff(33610,plain,
% 4.96/5.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.96/5.17 inference(transitivity,[status(thm)],[33609, 33607])).
% 4.96/5.17 tff(33611,plain,
% 4.96/5.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z)))))))),
% 4.96/5.17 inference(quant_inst,[status(thm)],[])).
% 4.96/5.17 tff(33612,plain,
% 4.96/5.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (~b(s(s(s(s(z)))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33611, 33610])).
% 4.96/5.17 tff(33613,plain,
% 4.96/5.17 ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(z))))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33612, 338, 33606, 33603, 9794, 12355])).
% 4.96/5.17 tff(33614,plain,
% 4.96/5.17 (~b(s(s(s(elem!1))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33613, 33600])).
% 4.96/5.17 tff(33615,plain,
% 4.96/5.17 (r(s(s(s(elem!1))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1387, 33614])).
% 4.96/5.17 tff(33616,plain,
% 4.96/5.17 (r(elem!1, z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[3385, 33615, 1921])).
% 4.96/5.17 tff(33617,plain,
% 4.96/5.17 (~b(elem!1, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[10029, 33616, 1921, 33592, 1122, 12927, 8286])).
% 4.96/5.17 tff(33618,plain,
% 4.96/5.17 (~r(elem!1, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[5187, 33616, 1815])).
% 4.96/5.17 tff(33619,plain,
% 4.96/5.17 ($false),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[252, 33618, 33617, 7156])).
% 4.96/5.17 tff(33620,plain,((~r(s(elem!1), z)) | (~(elem!1 = s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(elem!1))))))) | (~b(s(s(s(elem!1))), s(s(s(s(s(elem!1))))))) | (s(elem!1) = s(s(s(elem!1)))) | (s(elem!1) = elem!1) | (~r(z, s(s(s(elem!1))))) | (~r(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.17 tff(33621,plain,
% 4.96/5.17 (~r(s(elem!1), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33620, 33579, 1122, 33591, 33589, 210, 294, 7031, 33577])).
% 4.96/5.17 tff(33622,plain,
% 4.96/5.17 (b(s(elem!1), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1812, 33621])).
% 4.96/5.17 tff(33623,plain,
% 4.96/5.17 (b(s(s(s(s(elem!1)))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[4692, 33622, 33579])).
% 4.96/5.17 tff(33624,plain,
% 4.96/5.17 (~b(z, s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[9697, 33623, 8722, 264, 1740, 33579, 2119, 721])).
% 4.96/5.17 tff(33625,plain,
% 4.96/5.17 (r(z, s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1698, 33624])).
% 4.96/5.17 tff(33626,plain,
% 4.96/5.17 (r(z, s(elem!1))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33625, 33584])).
% 4.96/5.17 tff(33627,plain,
% 4.96/5.17 (~r(s(elem!1), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[303, 33626, 33577])).
% 4.96/5.17 tff(33628,plain,
% 4.96/5.17 (b(s(elem!1), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[312, 33627, 294])).
% 4.96/5.17 tff(33629,plain,
% 4.96/5.17 (s(s(s(s(elem!1)))) = s(elem!1)),
% 4.96/5.17 inference(symmetry,[status(thm)],[33582])).
% 4.96/5.17 tff(33630,plain,
% 4.96/5.17 ((s(s(s(s(elem!1)))) = s(s(s(s(z))))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33629])).
% 4.96/5.17 tff(33631,plain,
% 4.96/5.17 ((s(s(s(s(elem!1)))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 4.96/5.17 inference(transitivity,[status(thm)],[33630, 3629])).
% 4.96/5.17 tff(33632,plain,
% 4.96/5.17 (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33586])).
% 4.96/5.17 tff(33633,plain,
% 4.96/5.17 (s(s(s(s(s(s(s(elem!1))))))) = s(s(s(s(elem!1))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33632])).
% 4.96/5.17 tff(33634,plain,
% 4.96/5.17 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(z)))) = s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33633])).
% 4.96/5.17 tff(33635,plain,
% 4.96/5.17 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(elem!1)))) = s(s(s(s(z)))))),
% 4.96/5.17 inference(transitivity,[status(thm)],[33634, 12419])).
% 4.96/5.17 tff(33636,plain,
% 4.96/5.17 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 4.96/5.17 inference(transitivity,[status(thm)],[33635, 33631])).
% 4.96/5.17 tff(33637,plain,
% 4.96/5.17 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1))))))))) <=> (~(s(s(s(s(z)))) = s(elem!1)))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33636])).
% 4.96/5.17 tff(33638,plain,
% 4.96/5.17 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[3645, 33637])).
% 4.96/5.17 tff(33639,plain,
% 4.96/5.17 (~r(elem!1, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[243, 33626, 33577])).
% 4.96/5.17 tff(33640,plain,
% 4.96/5.17 (b(elem!1, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[252, 33639, 232])).
% 4.96/5.17 tff(33641,plain,
% 4.96/5.17 (~r(elem!1, z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[9964, 33640, 33579, 33638, 33625, 1122, 33628])).
% 4.96/5.17 tff(33642,plain,
% 4.96/5.17 (b(elem!1, z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[846, 33641, 719])).
% 4.96/5.17 tff(33643,plain,
% 4.96/5.17 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[17364, 33642, 8722, 878, 33581])).
% 4.96/5.17 tff(33644,plain,
% 4.96/5.17 (~r(s(z), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[17495, 33643, 8722, 878, 33576])).
% 4.96/5.17 tff(33645,plain,
% 4.96/5.17 (b(s(z), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[701, 33644, 691])).
% 4.96/5.17 tff(33646,plain,
% 4.96/5.17 (b(s(z), s(s(s(elem!1))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33645, 33580])).
% 4.96/5.17 tff(33647,plain,
% 4.96/5.17 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33582])).
% 4.96/5.17 tff(33648,plain,
% 4.96/5.17 (s(s(s(elem!1))) = elem!1),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1924, 33579])).
% 4.96/5.17 tff(33649,plain,
% 4.96/5.17 (b(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[8325, 33640, 33648])).
% 4.96/5.17 tff(33650,plain,
% 4.96/5.17 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33649, 33647])).
% 4.96/5.17 tff(33651,plain,
% 4.96/5.17 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33582])).
% 4.96/5.17 tff(33652,plain,
% 4.96/5.17 (b(s(z), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[28868, 33651])).
% 4.96/5.17 tff(33653,plain,
% 4.96/5.17 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33582])).
% 4.96/5.17 tff(33654,plain,
% 4.96/5.17 (r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[264, 33653])).
% 4.96/5.17 tff(33655,plain,
% 4.96/5.17 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[23329, 33643, 33579])).
% 4.96/5.17 tff(33656,plain,
% 4.96/5.17 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[2619, 33655, 7060])).
% 4.96/5.17 tff(33657,plain,
% 4.96/5.17 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[2275, 33656, 33654])).
% 4.96/5.17 tff(33658,plain,
% 4.96/5.17 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1562, 33657, 2181])).
% 4.96/5.17 tff(33659,plain,
% 4.96/5.17 (~r(s(s(s(elem!1))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[3385, 33641, 33579])).
% 4.96/5.17 tff(33660,plain,
% 4.96/5.17 (b(s(s(s(elem!1))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1387, 33659])).
% 4.96/5.17 tff(33661,plain,
% 4.96/5.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(rewrite,[status(thm)],[])).
% 4.96/5.17 tff(33662,plain,
% 4.96/5.17 (((~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1))))))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(rewrite,[status(thm)],[])).
% 4.96/5.17 tff(33663,plain,
% 4.96/5.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1))))))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33662])).
% 4.96/5.17 tff(33664,plain,
% 4.96/5.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(transitivity,[status(thm)],[33663, 33661])).
% 4.96/5.17 tff(33665,plain,
% 4.96/5.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(quant_inst,[status(thm)],[])).
% 4.96/5.17 tff(33666,plain,
% 4.96/5.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(s(s(elem!1))), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(z), s(s(s(s(elem!1))))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33665, 33664])).
% 4.96/5.17 tff(33667,plain,
% 4.96/5.17 ($false),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33666, 338, 33660, 33658, 33623, 33652, 33650, 33646])).
% 4.96/5.17 tff(33668,plain,((s(z) = elem!1) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (elem!1 = z) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~r(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(elem!1, s(s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(z, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.17 tff(33669,plain,
% 4.96/5.17 (s(z) = elem!1),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33668, 33526, 878, 8722, 1122, 264, 1740, 12172, 6387, 1940, 137, 2138])).
% 4.96/5.17 tff(33670,plain,
% 4.96/5.17 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33669])).
% 4.96/5.17 tff(33671,plain,
% 4.96/5.17 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.96/5.17 inference(transitivity,[status(thm)],[33670, 5923])).
% 4.96/5.17 tff(33672,plain,
% 4.96/5.17 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33671])).
% 4.96/5.17 tff(33673,plain,
% 4.96/5.17 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[6121, 33672])).
% 4.96/5.17 tff(33674,plain,
% 4.96/5.17 ((s(z) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33669])).
% 4.96/5.17 tff(33675,plain,
% 4.96/5.17 ((~(s(z) = s(s(s(s(elem!1)))))) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33674])).
% 4.96/5.17 tff(33676,plain,
% 4.96/5.17 (~(elem!1 = s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[2125, 33675])).
% 4.96/5.17 tff(33677,plain,
% 4.96/5.17 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[6043, 33676])).
% 4.96/5.17 tff(33678,plain,
% 4.96/5.17 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[13069, 33669, 12171])).
% 4.96/5.17 tff(33679,plain,
% 4.96/5.17 (r(elem!1, s(s(elem!1)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[321, 33678, 137])).
% 4.96/5.17 tff(33680,plain,
% 4.96/5.17 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33100, 33678, 6387])).
% 4.96/5.17 tff(33681,plain,
% 4.96/5.17 (r(elem!1, s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1946, 33680, 1940])).
% 4.96/5.17 tff(33682,plain,
% 4.96/5.17 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[7644, 33681, 33679])).
% 4.96/5.17 tff(33683,plain,
% 4.96/5.17 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[2619, 33682, 7060])).
% 4.96/5.17 tff(33684,plain,
% 4.96/5.17 (~r(elem!1, z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[6371, 33681, 7031])).
% 4.96/5.17 tff(33685,plain,
% 4.96/5.17 (b(elem!1, z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[846, 33684, 33526])).
% 4.96/5.17 tff(33686,plain,
% 4.96/5.17 (~r(z, elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[18663, 33681, 7031])).
% 4.96/5.17 tff(33687,plain,
% 4.96/5.17 (b(z, elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[353, 33686, 33534])).
% 4.96/5.17 tff(33688,plain,
% 4.96/5.17 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[18067, 33687, 33685, 8722, 878])).
% 4.96/5.17 tff(33689,plain,
% 4.96/5.17 (r(s(s(elem!1)), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[327, 33688, 197])).
% 4.96/5.17 tff(33690,plain,
% 4.96/5.17 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[3379, 33680])).
% 4.96/5.17 tff(33691,plain,
% 4.96/5.17 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1336, 33690])).
% 4.96/5.17 tff(33692,plain,
% 4.96/5.17 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[5699, 33691])).
% 4.96/5.17 tff(33693,plain,
% 4.96/5.17 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33670])).
% 4.96/5.17 tff(33694,plain,
% 4.96/5.17 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[6121, 33693])).
% 4.96/5.17 tff(33695,plain,
% 4.96/5.17 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[22663, 33694, 33687, 33685, 33673, 33681, 7031])).
% 4.96/5.17 tff(33696,plain,
% 4.96/5.17 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[17558, 33695, 33692])).
% 4.96/5.17 tff(33697,plain,
% 4.96/5.17 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[8203, 33696, 33689, 6387, 33683, 33677])).
% 4.96/5.17 tff(33698,plain,
% 4.96/5.17 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[6151, 33697, 33673])).
% 4.96/5.17 tff(33699,plain,
% 4.96/5.17 (s(s(z)) = s(elem!1)),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33669])).
% 4.96/5.17 tff(33700,plain,
% 4.96/5.17 (s(s(s(z))) = s(s(elem!1))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33699])).
% 4.96/5.17 tff(33701,plain,
% 4.96/5.17 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33700])).
% 4.96/5.17 tff(33702,plain,
% 4.96/5.17 (r(s(s(s(s(z)))), z) <=> r(s(s(s(elem!1))), z)),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33701])).
% 4.96/5.17 tff(33703,plain,
% 4.96/5.17 (r(s(s(s(elem!1))), z)),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[1122, 33702])).
% 4.96/5.17 tff(33704,plain,
% 4.96/5.17 (~r(elem!1, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[2715, 33679, 264])).
% 4.96/5.17 tff(33705,plain,
% 4.96/5.17 (b(elem!1, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[252, 33704, 232])).
% 4.96/5.17 tff(33706,plain,
% 4.96/5.17 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1412, 33669])).
% 4.96/5.17 tff(33707,plain,
% 4.96/5.17 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(elem!1))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[1420])).
% 4.96/5.17 tff(33708,plain,
% 4.96/5.17 (s(s(s(z))) = s(s(elem!1))),
% 4.96/5.17 inference(transitivity,[status(thm)],[45, 33707, 204])).
% 4.96/5.17 tff(33709,plain,
% 4.96/5.17 (inj_0(s(s(s(z)))) = inj_0(s(s(elem!1)))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33708])).
% 4.96/5.17 tff(33710,plain,
% 4.96/5.17 (s(s(z)) = s(elem!1)),
% 4.96/5.17 inference(transitivity,[status(thm)],[53, 33709, 181])).
% 4.96/5.17 tff(33711,plain,
% 4.96/5.17 (b(s(s(z)), s(s(s(z)))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33710, 33708])).
% 4.96/5.17 tff(33712,plain,
% 4.96/5.17 (r(s(z), s(s(s(z)))) <=> r(s(z), s(s(elem!1)))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33708])).
% 4.96/5.17 tff(33713,plain,
% 4.96/5.17 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(z))))),
% 4.96/5.17 inference(symmetry,[status(thm)],[33712])).
% 4.96/5.17 tff(33714,plain,
% 4.96/5.17 (r(s(z), s(s(s(z))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[721, 33713])).
% 4.96/5.17 tff(33715,plain,
% 4.96/5.17 (b(s(z), s(s(z))) <=> b(s(z), s(elem!1))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33710])).
% 4.96/5.17 tff(33716,plain,
% 4.96/5.17 (b(s(z), s(elem!1)) <=> b(s(z), s(s(z)))),
% 4.96/5.17 inference(symmetry,[status(thm)],[33715])).
% 4.96/5.17 tff(33717,plain,
% 4.96/5.17 (inj_0(s(s(z))) = inj_0(s(elem!1))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33710])).
% 4.96/5.17 tff(33718,plain,
% 4.96/5.17 (s(z) = elem!1),
% 4.96/5.17 inference(transitivity,[status(thm)],[446, 33717, 199])).
% 4.96/5.17 tff(33719,plain,
% 4.96/5.17 (b(s(z), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33718])).
% 4.96/5.17 tff(33720,plain,
% 4.96/5.17 (b(elem!1, s(elem!1)) <=> b(s(z), s(elem!1))),
% 4.96/5.17 inference(symmetry,[status(thm)],[33719])).
% 4.96/5.17 tff(33721,plain,
% 4.96/5.17 (b(elem!1, s(elem!1)) <=> b(s(z), s(s(z)))),
% 4.96/5.17 inference(transitivity,[status(thm)],[33720, 33716])).
% 4.96/5.17 tff(33722,plain,
% 4.96/5.17 ((~b(elem!1, s(elem!1))) <=> (~b(s(z), s(s(z))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33721])).
% 4.96/5.17 tff(33723,plain,
% 4.96/5.17 (~(elem!1 = s(s(elem!1)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1431, 1420])).
% 4.96/5.17 tff(33724,plain,
% 4.96/5.17 (~(s(s(elem!1)) = elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[196, 33723])).
% 4.96/5.17 tff(33725,plain,
% 4.96/5.17 (~(s(elem!1) = s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[209, 33724])).
% 4.96/5.17 tff(33726,plain,
% 4.96/5.17 (r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1515, 33725, 2606])).
% 4.96/5.17 tff(33727,plain,
% 4.96/5.17 (~r(z, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[7166, 33726, 1353])).
% 4.96/5.17 tff(33728,plain,
% 4.96/5.17 (b(z, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1615, 33727])).
% 4.96/5.17 tff(33729,plain,
% 4.96/5.17 (~r(s(elem!1), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[7044, 82, 1353, 33726])).
% 4.96/5.17 tff(33730,plain,
% 4.96/5.17 (b(s(elem!1), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1812, 33729])).
% 4.96/5.17 tff(33731,plain,
% 4.96/5.17 (~b(elem!1, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[7200, 33730, 1021, 1131, 33728])).
% 4.96/5.17 tff(33732,plain,
% 4.96/5.17 (~b(s(z), s(s(z)))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33731, 33722])).
% 4.96/5.17 tff(33733,plain,
% 4.96/5.17 (r(s(z), s(s(z)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[455, 33732])).
% 4.96/5.17 tff(33734,plain,
% 4.96/5.17 (~r(s(s(z)), s(s(s(z))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[13187, 33733, 33714])).
% 4.96/5.17 tff(33735,plain,
% 4.96/5.17 (b(s(s(z)), s(s(s(z))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[534, 33734])).
% 4.96/5.17 tff(33736,plain,
% 4.96/5.17 (b(s(elem!1), s(s(elem!1)))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33735, 33711])).
% 4.96/5.17 tff(33737,plain,
% 4.96/5.17 (r(s(z), s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33718])).
% 4.96/5.17 tff(33738,plain,
% 4.96/5.17 (r(elem!1, s(s(elem!1)))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[721, 33737])).
% 4.96/5.17 tff(33739,plain,
% 4.96/5.17 (r(elem!1, s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[252, 33731, 1469])).
% 4.96/5.17 tff(33740,plain,
% 4.96/5.17 (~r(s(s(elem!1)), s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[2715, 33739, 33738])).
% 4.96/5.17 tff(33741,plain,
% 4.96/5.17 (b(s(s(elem!1)), s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[277, 33740, 229])).
% 4.96/5.17 tff(33742,plain,
% 4.96/5.17 ($false),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[9330, 338, 8722, 33728, 33741, 33730, 33736])).
% 4.96/5.17 tff(33743,plain,((~(s(s(s(s(z)))) = s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (s(s(elem!1)) = s(elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~r(z, s(s(s(elem!1))))) | (~r(s(z), s(s(elem!1)))) | b(s(elem!1), s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.17 tff(33744,plain,
% 4.96/5.17 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33743, 33685, 8722, 12172, 225, 33706, 33687, 7031])).
% 4.96/5.17 tff(33745,plain,
% 4.96/5.17 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[2611, 11726])).
% 4.96/5.17 tff(33746,plain,
% 4.96/5.17 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[2619, 29556, 33745])).
% 4.96/5.17 tff(33747,plain,
% 4.96/5.17 (b(s(s(s(z))), s(s(s(s(z)))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33746, 22616])).
% 4.96/5.17 tff(33748,plain,
% 4.96/5.17 (r(s(s(z)), z) <=> r(s(elem!1), z)),
% 4.96/5.17 inference(monotonicity,[status(thm)],[869])).
% 4.96/5.17 tff(33749,plain,
% 4.96/5.17 (r(s(elem!1), z) <=> r(s(s(z)), z)),
% 4.96/5.17 inference(symmetry,[status(thm)],[33748])).
% 4.96/5.17 tff(33750,plain,
% 4.96/5.17 (r(s(s(z)), z)),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[1815, 33749])).
% 4.96/5.17 tff(33751,plain,
% 4.96/5.17 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[3898, 33750, 1122])).
% 4.96/5.17 tff(33752,plain,
% 4.96/5.17 (b(s(s(s(s(z)))), s(s(z)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[68, 33751])).
% 4.96/5.17 tff(33753,plain,
% 4.96/5.17 (~b(s(s(z)), s(s(s(z))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[13638, 33752, 22626, 33747, 22631])).
% 4.96/5.17 tff(33754,plain,
% 4.96/5.17 (r(s(s(z)), s(s(s(z))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[534, 33753])).
% 4.96/5.17 tff(33755,plain,
% 4.96/5.17 (r(s(elem!1), s(s(elem!1)))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33754, 11719])).
% 4.96/5.17 tff(33756,plain,
% 4.96/5.17 (~r(s(elem!1), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[3075, 82, 279, 33755])).
% 4.96/5.17 tff(33757,plain,
% 4.96/5.17 (b(s(elem!1), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[312, 33756, 306])).
% 4.96/5.17 tff(33758,plain,
% 4.96/5.17 (r(s(s(s(s(z)))), z) <=> r(s(s(s(elem!1))), z)),
% 4.96/5.17 inference(monotonicity,[status(thm)],[1350])).
% 4.96/5.17 tff(33759,plain,
% 4.96/5.17 (r(s(s(s(elem!1))), z)),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[1122, 33758])).
% 4.96/5.17 tff(33760,plain,
% 4.96/5.17 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1329, 11726])).
% 4.96/5.17 tff(33761,plain,
% 4.96/5.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))))),
% 4.96/5.17 inference(rewrite,[status(thm)],[])).
% 4.96/5.17 tff(33762,plain,
% 4.96/5.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1))))),
% 4.96/5.17 inference(quant_inst,[status(thm)],[])).
% 4.96/5.17 tff(33763,plain,
% 4.96/5.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(elem!1))), s(elem!1)))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33762, 33761])).
% 4.96/5.17 tff(33764,plain,
% 4.96/5.17 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33763, 82, 1815, 33759])).
% 4.96/5.17 tff(33765,plain,
% 4.96/5.17 (b(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1971, 33764, 222])).
% 4.96/5.17 tff(33766,plain,
% 4.96/5.17 (~(s(s(s(s(elem!1)))) = s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[19178, 1482])).
% 4.96/5.17 tff(33767,plain,
% 4.96/5.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 4.96/5.17 inference(rewrite,[status(thm)],[])).
% 4.96/5.17 tff(33768,plain,
% 4.96/5.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(elem!1))))),
% 4.96/5.17 inference(quant_inst,[status(thm)],[])).
% 4.96/5.17 tff(33769,plain,
% 4.96/5.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(elem!1)))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33768, 33767])).
% 4.96/5.17 tff(33770,plain,
% 4.96/5.17 (~r(s(s(s(s(elem!1)))), s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33769, 82, 1815, 1654])).
% 4.96/5.17 tff(33771,plain,
% 4.96/5.17 (b(s(s(s(s(elem!1)))), s(elem!1))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[17655, 33770, 33766])).
% 4.96/5.17 tff(33772,plain,
% 4.96/5.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(rewrite,[status(thm)],[])).
% 4.96/5.17 tff(33773,plain,
% 4.96/5.17 (((~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1))))))) <=> ((~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(rewrite,[status(thm)],[])).
% 4.96/5.17 tff(33774,plain,
% 4.96/5.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), s(s(s(s(elem!1))))))))),
% 4.96/5.17 inference(monotonicity,[status(thm)],[33773])).
% 4.96/5.17 tff(33775,plain,
% 4.96/5.17 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(transitivity,[status(thm)],[33774, 33772])).
% 4.96/5.17 tff(33776,plain,
% 4.96/5.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(elem!1)))))))),
% 4.96/5.17 inference(quant_inst,[status(thm)],[])).
% 4.96/5.17 tff(33777,plain,
% 4.96/5.17 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(elem!1), s(s(s(s(elem!1))))))),
% 4.96/5.17 inference(modus_ponens,[status(thm)],[33776, 33775])).
% 4.96/5.17 tff(33778,plain,
% 4.96/5.17 (~r(s(elem!1), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33777, 82, 1815, 1654])).
% 4.96/5.17 tff(33779,plain,
% 4.96/5.17 (b(s(elem!1), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[11676, 33778, 1482])).
% 4.96/5.17 tff(33780,plain,
% 4.96/5.17 ($false),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1570, 338, 1500, 1564, 2208, 33779, 33771])).
% 4.96/5.17 tff(33781,plain,((~r(s(s(s(s(elem!1)))), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (s(elem!1) = s(s(s(s(elem!1))))) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.17 tff(33782,plain,
% 4.96/5.17 (~r(s(s(s(s(elem!1)))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33781, 2208, 1564, 1500, 1482, 1815])).
% 4.96/5.17 tff(33783,plain,
% 4.96/5.17 (b(s(s(s(s(elem!1)))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1638, 33782])).
% 4.96/5.17 tff(33784,plain,
% 4.96/5.17 (~r(s(s(s(s(elem!1)))), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[31559, 2208, 6386, 6387, 1496, 254])).
% 4.96/5.17 tff(33785,plain,
% 4.96/5.17 (r(elem!1, s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[16425, 33784, 1021, 1131, 6041, 33783])).
% 4.96/5.17 tff(33786,plain,
% 4.96/5.17 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[5975, 33785, 254])).
% 4.96/5.17 tff(33787,plain,
% 4.96/5.17 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1724, 33786, 2266])).
% 4.96/5.17 tff(33788,plain,
% 4.96/5.17 (~b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[7824, 33787, 6387, 6386, 2208])).
% 4.96/5.17 tff(33789,plain,
% 4.96/5.17 (r(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1651, 33788, 1496])).
% 4.96/5.17 tff(33790,plain,
% 4.96/5.17 ($false),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[2840, 82, 33785, 279, 33789])).
% 4.96/5.17 tff(33791,plain,((~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(elem!1)))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~b(z, elem!1)) | (~b(elem!1, z)) | (elem!1 = s(s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (s(elem!1) = s(s(s(s(elem!1))))) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.17 tff(33792,plain,
% 4.96/5.17 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[33791, 33765, 9586, 6387, 33746, 254, 1021, 1131, 5369, 1564, 279, 1337, 1815])).
% 4.96/5.17 tff(33793,plain,
% 4.96/5.17 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1562, 33792, 33760])).
% 4.96/5.17 tff(33794,plain,
% 4.96/5.17 (~r(s(s(s(s(elem!1)))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[12936, 1548, 1301])).
% 4.96/5.17 tff(33795,plain,
% 4.96/5.17 (b(s(s(s(s(elem!1)))), z)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1638, 33794])).
% 4.96/5.17 tff(33796,plain,
% 4.96/5.17 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1554, 1548, 749, 1269])).
% 4.96/5.17 tff(33797,plain,
% 4.96/5.17 (b(s(s(s(s(elem!1)))), s(z))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1585, 33796])).
% 4.96/5.17 tff(33798,plain,
% 4.96/5.17 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[1593, 33797, 749])).
% 4.96/5.17 tff(33799,plain,
% 4.96/5.17 (~b(elem!1, s(s(s(s(elem!1)))))),
% 4.96/5.17 inference(unit_resolution,[status(thm)],[4856, 33798, 1021, 1131, 33795])).
% 4.96/5.18 tff(33800,plain,
% 4.96/5.18 (r(elem!1, s(s(s(s(elem!1)))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2297, 33799, 5369])).
% 4.96/5.18 tff(33801,plain,
% 4.96/5.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33802,plain,
% 4.96/5.18 (((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1))))))) <=> ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33803,plain,
% 4.96/5.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1))))))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33802])).
% 4.96/5.18 tff(33804,plain,
% 4.96/5.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(transitivity,[status(thm)],[33803, 33801])).
% 4.96/5.18 tff(33805,plain,
% 4.96/5.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(quant_inst,[status(thm)],[])).
% 4.96/5.18 tff(33806,plain,
% 4.96/5.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(s(elem!1))))) | (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(s(elem!1))))))),
% 4.96/5.18 inference(modus_ponens,[status(thm)],[33805, 33804])).
% 4.96/5.18 tff(33807,plain,
% 4.96/5.18 ($false),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33806, 82, 33800, 1950, 1548])).
% 4.96/5.18 tff(33808,plain,((~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))) | (~r(elem!1, s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~(s(z) = elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(elem!1))), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.18 tff(33809,plain,
% 4.96/5.18 (~r(s(s(s(elem!1))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33808, 33793, 1021, 1131, 749, 1950, 33759])).
% 4.96/5.18 tff(33810,plain,
% 4.96/5.18 (b(s(s(s(elem!1))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2162, 33809, 1271])).
% 4.96/5.18 tff(33811,plain,
% 4.96/5.18 ($false),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[10281, 338, 33765, 33810, 1564, 315, 33757])).
% 4.96/5.18 tff(33812,plain,((~r(s(elem!1), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (s(s(s(elem!1))) = elem!1) | (~b(z, elem!1)) | (~b(elem!1, z)) | (~(s(z) = elem!1)) | (~r(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (s(elem!1) = elem!1) | (s(s(s(elem!1))) = s(elem!1)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.18 tff(33813,plain,
% 4.96/5.18 (~r(s(elem!1), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33812, 33744, 33705, 33690, 33687, 33685, 33669, 33681, 6387, 33689, 33679, 294, 218, 1122])).
% 4.96/5.18 tff(33814,plain,
% 4.96/5.18 (~b(s(s(s(elem!1))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[10173, 33813, 33685, 33687, 33703, 33744, 8722, 6387, 33684, 33683, 137, 33705, 7031, 33686])).
% 4.96/5.18 tff(33815,plain,
% 4.96/5.18 (r(s(s(s(elem!1))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2162, 33814, 33690])).
% 4.96/5.18 tff(33816,plain,
% 4.96/5.18 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33808, 33815, 33687, 33685, 33669, 33681, 33703])).
% 4.96/5.18 tff(33817,plain,
% 4.96/5.18 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1562, 33816, 2181])).
% 4.96/5.18 tff(33818,plain,
% 4.96/5.18 (~r(s(s(s(s(elem!1)))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[31559, 33817, 33683, 6387, 2119, 33689])).
% 4.96/5.18 tff(33819,plain,
% 4.96/5.18 (~r(s(s(s(s(elem!1)))), s(z))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2193, 33818, 33669])).
% 4.96/5.18 tff(33820,plain,
% 4.96/5.18 (b(s(s(s(s(elem!1)))), s(z))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1585, 33819])).
% 4.96/5.18 tff(33821,plain,
% 4.96/5.18 (b(s(s(s(s(elem!1)))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1593, 33820, 33669])).
% 4.96/5.18 tff(33822,plain,
% 4.96/5.18 (b(s(elem!1), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1812, 33813])).
% 4.96/5.18 tff(33823,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33824,plain,
% 4.96/5.18 (((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))) <=> ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33825,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33824])).
% 4.96/5.18 tff(33826,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)))),
% 4.96/5.18 inference(transitivity,[status(thm)],[33825, 33823])).
% 4.96/5.18 tff(33827,plain,
% 4.96/5.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.96/5.18 inference(quant_inst,[status(thm)],[])).
% 4.96/5.18 tff(33828,plain,
% 4.96/5.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1))),
% 4.96/5.18 inference(modus_ponens,[status(thm)],[33827, 33826])).
% 4.96/5.18 tff(33829,plain,
% 4.96/5.18 (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33828, 338, 33685, 33705, 33822, 33821, 33698])).
% 4.96/5.18 tff(33830,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33831,plain,
% 4.96/5.18 (((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33832,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33831])).
% 4.96/5.18 tff(33833,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.96/5.18 inference(transitivity,[status(thm)],[33832, 33830])).
% 4.96/5.18 tff(33834,plain,
% 4.96/5.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.96/5.18 inference(quant_inst,[status(thm)],[])).
% 4.96/5.18 tff(33835,plain,
% 4.96/5.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), z))),
% 4.96/5.18 inference(modus_ponens,[status(thm)],[33834, 33833])).
% 4.96/5.18 tff(33836,plain,
% 4.96/5.18 (~b(s(s(s(s(s(s(elem!1)))))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33835, 338, 33687, 33685, 33705, 33822, 33698])).
% 4.96/5.18 tff(33837,plain,
% 4.96/5.18 (r(s(s(s(s(s(s(elem!1)))))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[22654, 33836])).
% 4.96/5.18 tff(33838,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33839,plain,
% 4.96/5.18 (((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z))) <=> ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33840,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33839])).
% 4.96/5.18 tff(33841,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1)))),
% 4.96/5.18 inference(transitivity,[status(thm)],[33840, 33838])).
% 4.96/5.18 tff(33842,plain,
% 4.96/5.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(elem!1, z)) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(s(s(s(elem!1)))), elem!1)) | (~b(s(s(s(s(elem!1)))), z)))),
% 4.96/5.18 inference(quant_inst,[status(thm)],[])).
% 4.96/5.18 tff(33843,plain,
% 4.96/5.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(elem!1)))), z)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), elem!1))),
% 4.96/5.18 inference(modus_ponens,[status(thm)],[33842, 33841])).
% 4.96/5.18 tff(33844,plain,
% 4.96/5.18 (~b(s(s(s(s(elem!1)))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33843, 338, 33687, 33685, 33705, 33822, 33821])).
% 4.96/5.18 tff(33845,plain,
% 4.96/5.18 (r(s(s(s(s(elem!1)))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1638, 33844])).
% 4.96/5.18 tff(33846,plain,
% 4.96/5.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33847,plain,
% 4.96/5.18 (((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1))))))))) <=> ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33848,plain,
% 4.96/5.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33847])).
% 4.96/5.18 tff(33849,plain,
% 4.96/5.18 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z)))),
% 4.96/5.18 inference(transitivity,[status(thm)],[33848, 33846])).
% 4.96/5.18 tff(33850,plain,
% 4.96/5.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(elem!1)))))), z)) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))))),
% 4.96/5.18 inference(quant_inst,[status(thm)],[])).
% 4.96/5.18 tff(33851,plain,
% 4.96/5.18 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(elem!1)))), z)) | (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(s(s(s(elem!1)))))), z))),
% 4.96/5.18 inference(modus_ponens,[status(thm)],[33850, 33849])).
% 4.96/5.18 tff(33852,plain,
% 4.96/5.18 (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33851, 82, 33845, 33837])).
% 4.96/5.18 tff(33853,plain,
% 4.96/5.18 (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[17628, 33852, 33829])).
% 4.96/5.18 tff(33854,plain,
% 4.96/5.18 (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))),
% 4.96/5.18 inference(symmetry,[status(thm)],[33853])).
% 4.96/5.18 tff(33855,plain,
% 4.96/5.18 (s(s(s(s(s(s(s(elem!1))))))) = s(s(s(s(s(elem!1)))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33854])).
% 4.96/5.18 tff(33856,plain,
% 4.96/5.18 (s(s(s(s(s(elem!1))))) = s(s(s(s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(symmetry,[status(thm)],[33855])).
% 4.96/5.18 tff(33857,plain,
% 4.96/5.18 (inj_0(s(s(s(s(s(s(elem!1))))))) = inj_0(s(s(s(s(elem!1)))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33854])).
% 4.96/5.18 tff(33858,plain,
% 4.96/5.18 (inj_0(s(s(s(s(elem!1))))) = inj_0(s(s(s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(symmetry,[status(thm)],[33857])).
% 4.96/5.18 tff(33859,plain,
% 4.96/5.18 (s(s(s(s(z)))) = s(s(s(s(s(s(s(elem!1)))))))),
% 4.96/5.18 inference(transitivity,[status(thm)],[33701, 1325, 33858, 3177, 33856])).
% 4.96/5.18 tff(33860,plain,
% 4.96/5.18 ($false),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[3645, 33859])).
% 4.96/5.18 tff(33861,plain,(b(z, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | b(elem!1, s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | b(s(z), s(s(elem!1))) | (~b(s(z), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.18 tff(33862,plain,
% 4.96/5.18 (b(z, s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33861, 33562, 8722, 137, 12174, 7059, 1940, 264, 12171, 33458, 3348])).
% 4.96/5.18 tff(33863,plain,
% 4.96/5.18 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[12264, 33862, 8722, 7059, 33562])).
% 4.96/5.18 tff(33864,plain,
% 4.96/5.18 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2619, 33863, 7060])).
% 4.96/5.18 tff(33865,plain,
% 4.96/5.18 (~b(s(s(s(elem!1))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[17927, 33862, 7059, 8722, 33562])).
% 4.96/5.18 tff(33866,plain,
% 4.96/5.18 (r(s(s(s(elem!1))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1387, 33865])).
% 4.96/5.18 tff(33867,plain,
% 4.96/5.18 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2629, 33864, 264])).
% 4.96/5.18 tff(33868,plain,
% 4.96/5.18 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1515, 33867, 210])).
% 4.96/5.18 tff(33869,plain,
% 4.96/5.18 (~r(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[6302, 33864, 264])).
% 4.96/5.18 tff(33870,plain,
% 4.96/5.18 (b(s(s(s(elem!1))), s(elem!1))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1971, 33869, 218])).
% 4.96/5.18 tff(33871,plain,
% 4.96/5.18 (~b(s(elem!1), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33508, 33862, 12216, 7059, 8722, 1940, 33458])).
% 4.96/5.18 tff(33872,plain,
% 4.96/5.18 (r(s(elem!1), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1812, 33871])).
% 4.96/5.18 tff(33873,plain,
% 4.96/5.18 (~r(elem!1, s(s(elem!1)))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[7644, 7063, 2257])).
% 4.96/5.18 tff(33874,plain,
% 4.96/5.18 (b(elem!1, s(s(elem!1)))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[321, 33873, 137])).
% 4.96/5.18 tff(33875,plain,
% 4.96/5.18 (~r(s(s(elem!1)), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[6487, 7063, 2257])).
% 4.96/5.18 tff(33876,plain,
% 4.96/5.18 (b(s(s(elem!1)), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[327, 33875, 197])).
% 4.96/5.18 tff(33877,plain,
% 4.96/5.18 (~b(elem!1, z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[17364, 33876, 8722, 878, 33874])).
% 4.96/5.18 tff(33878,plain,
% 4.96/5.18 (elem!1 = z),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[846, 33877, 7064])).
% 4.96/5.18 tff(33879,plain,
% 4.96/5.18 (z = elem!1),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[716, 33878])).
% 4.96/5.18 tff(33880,plain,
% 4.96/5.18 (r(s(s(s(s(elem!1)))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2848, 33879, 1122])).
% 4.96/5.18 tff(33881,plain,
% 4.96/5.18 (~r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[12936, 33880, 1301])).
% 4.96/5.18 tff(33882,plain,
% 4.96/5.18 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33781, 33880, 1815, 1500, 1564, 1337])).
% 4.96/5.18 tff(33883,plain,
% 4.96/5.18 ($false),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1562, 33882, 33881, 2181])).
% 4.96/5.18 tff(33884,plain,((s(s(s(elem!1))) = elem!1) | (~r(s(elem!1), z)) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), z)) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (elem!1 = s(s(elem!1))) | (~r(s(s(elem!1)), s(s(s(elem!1))))) | b(elem!1, s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.18 tff(33885,plain,
% 4.96/5.18 (s(s(s(elem!1))) = elem!1),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33884, 33872, 33870, 33868, 33866, 12174, 8722, 33562, 137, 33864, 1940])).
% 4.96/5.18 tff(33886,plain,
% 4.96/5.18 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (elem!1 = s(s(s(z))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33885])).
% 4.96/5.18 tff(33887,plain,
% 4.96/5.18 ((s(s(s(elem!1))) = s(s(s(z)))) <=> (s(s(s(z))) = elem!1)),
% 4.96/5.18 inference(transitivity,[status(thm)],[33886, 1051])).
% 4.96/5.18 tff(33888,plain,
% 4.96/5.18 ((s(s(s(z))) = elem!1) <=> (s(s(s(elem!1))) = s(s(s(z))))),
% 4.96/5.18 inference(symmetry,[status(thm)],[33887])).
% 4.96/5.18 tff(33889,plain,
% 4.96/5.18 (b(s(elem!1), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2676, 33885, 33868])).
% 4.96/5.18 tff(33890,plain,
% 4.96/5.18 (elem!1 = s(s(s(elem!1)))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[3379, 33885])).
% 4.96/5.18 tff(33891,plain,
% 4.96/5.18 (r(elem!1, z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[3385, 33890, 33866])).
% 4.96/5.18 tff(33892,plain,
% 4.96/5.18 (b(elem!1, s(s(elem!1)))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33100, 33890, 7059])).
% 4.96/5.18 tff(33893,plain,
% 4.96/5.18 (b(z, elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2149, 33885, 33862])).
% 4.96/5.18 tff(33894,plain,
% 4.96/5.18 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[18010, 33893, 33562, 8722, 33892])).
% 4.96/5.18 tff(33895,plain,
% 4.96/5.18 (r(s(s(elem!1)), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[327, 33894, 197])).
% 4.96/5.18 tff(33896,plain,
% 4.96/5.18 (s(s(s(s(z)))) = s(elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[32857, 33895, 264, 33458, 2119, 12172, 8722, 12174, 33891, 33889, 1940, 232, 7059, 7060, 33562])).
% 4.96/5.18 tff(33897,plain,
% 4.96/5.18 (s(s(s(z))) = elem!1),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[8241, 33896])).
% 4.96/5.18 tff(33898,plain,
% 4.96/5.18 (s(s(s(elem!1))) = s(s(s(z)))),
% 4.96/5.18 inference(modus_ponens,[status(thm)],[33897, 33888])).
% 4.96/5.18 tff(33899,plain,
% 4.96/5.18 (~(elem!1 = z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1036, 33893])).
% 4.96/5.18 tff(33900,plain,
% 4.96/5.18 (~(z = elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2752, 33899])).
% 4.96/5.18 tff(33901,plain,
% 4.96/5.18 (~(s(elem!1) = s(z))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1912, 33900])).
% 4.96/5.18 tff(33902,plain,
% 4.96/5.18 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[3121, 33901])).
% 4.96/5.18 tff(33903,plain,
% 4.96/5.18 ($false),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33902, 33898])).
% 4.96/5.18 tff(33904,plain,(b(elem!1, s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~b(z, s(s(s(z))))) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.96/5.18 tff(33905,plain,
% 4.96/5.18 (b(elem!1, s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33904, 10433, 32026, 137, 12171, 33041, 7050, 12173])).
% 4.96/5.18 tff(33906,plain,
% 4.96/5.18 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[27030, 33905])).
% 4.96/5.18 tff(33907,plain,
% 4.96/5.18 (~r(s(z), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33456, 10433, 7059, 32026, 12171, 137, 33041, 12173])).
% 4.96/5.18 tff(33908,plain,
% 4.96/5.18 (b(s(z), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[26, 33907])).
% 4.96/5.18 tff(33909,plain,
% 4.96/5.18 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[7217, 7031, 787])).
% 4.96/5.18 tff(33910,plain,
% 4.96/5.18 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2619, 33909, 7060])).
% 4.96/5.18 tff(33911,plain,
% 4.96/5.18 (b(s(z), s(elem!1))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[3066, 33536, 3063])).
% 4.96/5.18 tff(33912,plain,
% 4.96/5.18 (~r(elem!1, s(elem!1))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[17347, 33910, 264, 6387, 137, 1929])).
% 4.96/5.18 tff(33913,plain,
% 4.96/5.18 (b(elem!1, s(elem!1))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[252, 33912, 232])).
% 4.96/5.18 tff(33914,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33915,plain,
% 4.96/5.18 (((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))) <=> ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.18 inference(rewrite,[status(thm)],[])).
% 4.96/5.18 tff(33916,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))))),
% 4.96/5.18 inference(monotonicity,[status(thm)],[33915])).
% 4.96/5.18 tff(33917,plain,
% 4.96/5.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.18 inference(transitivity,[status(thm)],[33916, 33914])).
% 4.96/5.18 tff(33918,plain,
% 4.96/5.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.18 inference(quant_inst,[status(thm)],[])).
% 4.96/5.18 tff(33919,plain,
% 4.96/5.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))),
% 4.96/5.18 inference(modus_ponens,[status(thm)],[33918, 33917])).
% 4.96/5.18 tff(33920,plain,
% 4.96/5.18 (~b(z, elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33919, 338, 32139, 33913, 12433, 1740, 33911])).
% 4.96/5.18 tff(33921,plain,
% 4.96/5.18 (r(z, elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[353, 33920, 33534])).
% 4.96/5.18 tff(33922,plain,
% 4.96/5.18 (~r(s(s(elem!1)), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2552, 33921, 787])).
% 4.96/5.18 tff(33923,plain,
% 4.96/5.18 (b(s(s(elem!1)), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[327, 33922, 197])).
% 4.96/5.18 tff(33924,plain,
% 4.96/5.18 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[6395, 33923, 1929, 33910, 6387])).
% 4.96/5.18 tff(33925,plain,
% 4.96/5.18 (~(elem!1 = s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33100, 33924, 6387])).
% 4.96/5.18 tff(33926,plain,
% 4.96/5.18 (~r(s(s(s(elem!1))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[6359, 33921, 7031])).
% 4.96/5.18 tff(33927,plain,
% 4.96/5.18 (~b(s(s(s(elem!1))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[23227, 33923, 6387, 1929, 33910])).
% 4.96/5.18 tff(33928,plain,
% 4.96/5.18 (s(s(s(elem!1))) = elem!1),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2162, 33927, 33926])).
% 4.96/5.18 tff(33929,plain,
% 4.96/5.18 ($false),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[3379, 33928, 33925])).
% 4.96/5.18 tff(33930,plain,(b(z, s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), z)) | (~b(s(z), z)) | r(s(z), s(elem!1)) | (~r(s(s(elem!1)), s(elem!1))) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.18 tff(33931,plain,
% 4.96/5.18 (b(z, s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33930, 10647, 1929, 6387, 1740, 3063, 264, 137, 3348])).
% 4.96/5.18 tff(33932,plain,
% 4.96/5.18 ((~b(z, s(s(s(elem!1))))) | (~b(s(z), s(elem!1)))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33469, 338, 6387, 8722, 10649, 1740])).
% 4.96/5.18 tff(33933,plain,
% 4.96/5.18 (~b(s(z), s(elem!1))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[33932, 33931])).
% 4.96/5.18 tff(33934,plain,
% 4.96/5.18 (s(z) = s(elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[3066, 33933, 3063])).
% 4.96/5.18 tff(33935,plain,
% 4.96/5.18 (s(elem!1) = s(z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1919, 33934])).
% 4.96/5.18 tff(33936,plain,
% 4.96/5.18 (z = elem!1),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1912, 33935])).
% 4.96/5.18 tff(33937,plain,
% 4.96/5.18 (elem!1 = z),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2752, 33936])).
% 4.96/5.18 tff(33938,plain,
% 4.96/5.18 (~b(z, elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1036, 33937])).
% 4.96/5.18 tff(33939,plain,
% 4.96/5.18 (~(s(s(s(elem!1))) = elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2149, 33938, 33931])).
% 4.96/5.18 tff(33940,plain,
% 4.96/5.18 (b(elem!1, s(s(elem!1)))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[9178, 33937, 8722])).
% 4.96/5.18 tff(33941,plain,
% 4.96/5.18 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[906, 33936, 795])).
% 4.96/5.18 tff(33942,plain,
% 4.96/5.18 (r(s(s(elem!1)), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[327, 33941, 197])).
% 4.96/5.18 tff(33943,plain,
% 4.96/5.18 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[25645, 33939, 1929, 33942, 210, 264])).
% 4.96/5.18 tff(33944,plain,
% 4.96/5.18 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2619, 33943, 7060])).
% 4.96/5.18 tff(33945,plain,
% 4.96/5.18 (~b(s(s(s(elem!1))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[16475, 33944, 6387, 1929, 33940])).
% 4.96/5.18 tff(33946,plain,
% 4.96/5.18 (r(s(s(s(elem!1))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2162, 33945, 33939])).
% 4.96/5.18 tff(33947,plain,
% 4.96/5.18 (r(s(s(s(s(elem!1)))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[2848, 33936, 1122])).
% 4.96/5.18 tff(33948,plain,
% 4.96/5.18 (r(s(s(s(s(elem!1)))), elem!1)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[7372, 33936, 1122])).
% 4.96/5.18 tff(33949,plain,
% 4.96/5.18 (~b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[31559, 33944, 33948, 6387, 2119, 33942])).
% 4.96/5.18 tff(33950,plain,
% 4.96/5.18 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1562, 33949, 2181])).
% 4.96/5.18 tff(33951,plain,
% 4.96/5.18 (~r(s(s(s(elem!1))), z)),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[12936, 33950, 33947])).
% 4.96/5.18 tff(33952,plain,
% 4.96/5.18 ($false),
% 4.96/5.18 inference(unit_resolution,[status(thm)],[1316, 33951, 33946, 33936])).
% 4.96/5.18 tff(33953,plain,(b(s(s(elem!1)), z) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | r(s(z), s(elem!1)) | (~b(s(z), z)) | (elem!1 = s(s(elem!1))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.19 tff(33954,plain,
% 4.96/5.19 (b(s(s(elem!1)), z)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[33953, 7059, 33905, 10433, 32026, 12174, 13856, 33908, 137, 33041])).
% 4.96/5.19 tff(33955,plain,
% 4.96/5.19 (b(s(s(elem!1)), z)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[33953, 6387, 1929, 264, 8722, 1122, 12216, 28760, 137, 3348])).
% 4.96/5.19 tff(33956,plain,
% 4.96/5.19 (~b(s(s(elem!1)), elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[27047, 33526, 8722, 33955, 6387, 7031, 137, 264, 1929])).
% 4.96/5.19 tff(33957,plain,
% 4.96/5.19 (r(s(s(elem!1)), elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[327, 33956, 197])).
% 4.96/5.19 tff(33958,plain,
% 4.96/5.19 (~r(s(z), elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[7269, 33957, 12172])).
% 4.96/5.19 tff(33959,plain,
% 4.96/5.19 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[25645, 33957, 1929, 27031, 210, 264])).
% 4.96/5.19 tff(33960,plain,
% 4.96/5.19 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[2619, 33959, 7060])).
% 4.96/5.19 tff(33961,plain,
% 4.96/5.19 (~r(elem!1, s(elem!1))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[7117, 33957, 264])).
% 4.96/5.19 tff(33962,plain,
% 4.96/5.19 (b(elem!1, s(elem!1))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[252, 33961, 232])).
% 4.96/5.19 tff(33963,plain,
% 4.96/5.19 (b(s(s(s(elem!1))), elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[2162, 7565, 27031])).
% 4.96/5.19 tff(33964,plain,
% 4.96/5.19 (~r(z, s(elem!1))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[18685, 234, 1929, 294, 27031, 210, 1353])).
% 4.96/5.19 tff(33965,plain,
% 4.96/5.19 (b(z, s(elem!1))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[1615, 33964])).
% 4.96/5.19 tff(33966,plain,
% 4.96/5.19 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[25645, 254, 1929, 27031, 210, 264])).
% 4.96/5.19 tff(33967,plain,
% 4.96/5.19 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[2619, 33966, 7060])).
% 4.96/5.19 tff(33968,plain,
% 4.96/5.19 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[16475, 33963, 6387, 1929, 33967])).
% 4.96/5.19 tff(33969,plain,
% 4.96/5.19 (r(elem!1, s(s(elem!1)))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[321, 33968, 137])).
% 4.96/5.19 tff(33970,plain,
% 4.96/5.19 (~r(elem!1, s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[17360, 33969, 721])).
% 4.96/5.19 tff(33971,plain,
% 4.96/5.19 (~r(s(z), elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[7269, 254, 721])).
% 4.96/5.19 tff(33972,plain,
% 4.96/5.19 (s(z) = elem!1),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[16925, 3084, 3083, 315, 813, 176])).
% 4.96/5.19 tff(33973,plain,
% 4.96/5.19 (b(s(z), z) <=> b(elem!1, z)),
% 4.96/5.19 inference(monotonicity,[status(thm)],[33972])).
% 4.96/5.19 tff(33974,plain,
% 4.96/5.19 (b(elem!1, z) <=> b(s(z), z)),
% 4.96/5.19 inference(symmetry,[status(thm)],[33973])).
% 4.96/5.19 tff(33975,plain,
% 4.96/5.19 ((~b(elem!1, z)) <=> (~b(s(z), z))),
% 4.96/5.19 inference(monotonicity,[status(thm)],[33974])).
% 4.96/5.19 tff(33976,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(33977,plain,
% 4.96/5.19 (((~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(33978,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))))),
% 4.96/5.19 inference(monotonicity,[status(thm)],[33977])).
% 4.96/5.19 tff(33979,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), s(z))))),
% 4.96/5.19 inference(transitivity,[status(thm)],[33978, 33976])).
% 4.96/5.19 tff(33980,plain,
% 4.96/5.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(z))) | (~b(z, s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, z)))),
% 4.96/5.19 inference(quant_inst,[status(thm)],[])).
% 4.96/5.19 tff(33981,plain,
% 4.96/5.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(elem!1), s(z)))),
% 4.96/5.19 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 4.96/5.19 tff(33982,plain,
% 4.96/5.19 ((~b(elem!1, z)) | (~b(s(elem!1), s(z)))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[33981, 338, 1597, 315, 1796, 1740])).
% 4.96/5.19 tff(33983,plain,
% 4.96/5.19 (~b(elem!1, z)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[33982, 3084])).
% 4.96/5.19 tff(33984,plain,
% 4.96/5.19 (~b(s(z), z)),
% 4.96/5.19 inference(modus_ponens,[status(thm)],[33983, 33975])).
% 4.96/5.19 tff(33985,plain,
% 4.96/5.19 ($false),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[1740, 33984])).
% 4.96/5.19 tff(33986,plain,((~b(s(elem!1), s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(elem!1, s(elem!1))) | r(elem!1, s(z)) | r(s(z), elem!1) | (~b(z, s(elem!1))) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.19 tff(33987,plain,
% 4.96/5.19 (~b(s(elem!1), s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[33986, 1796, 3083, 25641, 813, 176, 1597, 1740])).
% 4.96/5.19 tff(33988,plain,
% 4.96/5.19 (r(s(elem!1), s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[2070, 33987, 1917])).
% 4.96/5.19 tff(33989,plain,
% 4.96/5.19 (~b(z, s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[4302, 1796, 1740, 3083, 1597])).
% 4.96/5.19 tff(33990,plain,
% 4.96/5.19 (r(z, s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[403, 33989])).
% 4.96/5.19 tff(33991,plain,
% 4.96/5.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(33992,plain,
% 4.96/5.19 (((~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(elem!1)))) <=> ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(33993,plain,
% 4.96/5.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z)))))),
% 4.96/5.19 inference(monotonicity,[status(thm)],[33992])).
% 4.96/5.19 tff(33994,plain,
% 4.96/5.19 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 4.96/5.19 inference(transitivity,[status(thm)],[33993, 33991])).
% 4.96/5.19 tff(33995,plain,
% 4.96/5.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(elem!1))))),
% 4.96/5.19 inference(quant_inst,[status(thm)],[])).
% 4.96/5.19 tff(33996,plain,
% 4.96/5.19 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(z)))),
% 4.96/5.19 inference(modus_ponens,[status(thm)],[33995, 33994])).
% 4.96/5.19 tff(33997,plain,
% 4.96/5.19 ($false),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[33996, 82, 264, 786, 3047])).
% 4.96/5.19 tff(33998,plain,((~r(s(elem!1), s(z))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.19 tff(33999,plain,
% 4.96/5.19 (~r(s(s(elem!1)), s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[33998, 33988, 264])).
% 4.96/5.19 tff(34000,plain,
% 4.96/5.19 (b(s(s(elem!1)), s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[784, 33999])).
% 4.96/5.19 tff(34001,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(34002,plain,
% 4.96/5.19 (((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(34003,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z)))))),
% 4.96/5.19 inference(monotonicity,[status(thm)],[34002])).
% 4.96/5.19 tff(34004,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 4.96/5.19 inference(transitivity,[status(thm)],[34003, 34001])).
% 4.96/5.19 tff(34005,plain,
% 4.96/5.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)))),
% 4.96/5.19 inference(quant_inst,[status(thm)],[])).
% 4.96/5.19 tff(34006,plain,
% 4.96/5.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z)))),
% 4.96/5.19 inference(modus_ponens,[status(thm)],[34005, 34004])).
% 4.96/5.19 tff(34007,plain,
% 4.96/5.19 ((~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(z)))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[34006, 338, 6387, 8722, 878, 1740])).
% 4.96/5.19 tff(34008,plain,
% 4.96/5.19 (~b(s(s(s(elem!1))), z)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[34007, 34000])).
% 4.96/5.19 tff(34009,plain,
% 4.96/5.19 (r(s(s(s(elem!1))), z)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[1387, 34008])).
% 4.96/5.19 tff(34010,plain,
% 4.96/5.19 (~r(s(s(s(elem!1))), s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[4573, 34009, 33990])).
% 4.96/5.19 tff(34011,plain,
% 4.96/5.19 (b(s(s(s(elem!1))), s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[1990, 34010])).
% 4.96/5.19 tff(34012,plain,
% 4.96/5.19 (~b(s(z), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[17059, 706, 1929, 2636, 5431])).
% 4.96/5.19 tff(34013,plain,
% 4.96/5.19 (r(s(z), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[1870, 34012])).
% 4.96/5.19 tff(34014,plain,
% 4.96/5.19 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[3055, 34013, 3047])).
% 4.96/5.19 tff(34015,plain,
% 4.96/5.19 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[1515, 34014, 215])).
% 4.96/5.19 tff(34016,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(34017,plain,
% 4.96/5.19 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(34018,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))))),
% 4.96/5.19 inference(monotonicity,[status(thm)],[34017])).
% 4.96/5.19 tff(34019,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 4.96/5.19 inference(transitivity,[status(thm)],[34018, 34016])).
% 4.96/5.19 tff(34020,plain,
% 4.96/5.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(z))))),
% 4.96/5.19 inference(quant_inst,[status(thm)],[])).
% 4.96/5.19 tff(34021,plain,
% 4.96/5.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), elem!1)) | (~b(s(s(s(elem!1))), s(z)))),
% 4.96/5.19 inference(modus_ponens,[status(thm)],[34020, 34019])).
% 4.96/5.19 tff(34022,plain,
% 4.96/5.19 ($false),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[34021, 338, 1929, 2636, 34015, 315, 706, 5431])).
% 4.96/5.19 tff(34023,plain,((~b(s(z), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(elem!1))), s(z))) | (s(elem!1) = s(s(s(elem!1)))) | (~r(s(elem!1), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.19 tff(34024,plain,
% 4.96/5.19 (~b(s(z), elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[34023, 34011, 2636, 25641, 1929, 215, 33988])).
% 4.96/5.19 tff(34025,plain,
% 4.96/5.19 (s(z) = elem!1),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[701, 34024, 176])).
% 4.96/5.19 tff(34026,plain,
% 4.96/5.19 (r(s(s(elem!1)), s(z)) <=> r(s(s(elem!1)), elem!1)),
% 4.96/5.19 inference(monotonicity,[status(thm)],[34025])).
% 4.96/5.19 tff(34027,plain,
% 4.96/5.19 (r(s(s(elem!1)), elem!1) <=> r(s(s(elem!1)), s(z))),
% 4.96/5.19 inference(symmetry,[status(thm)],[34026])).
% 4.96/5.19 tff(34028,plain,
% 4.96/5.19 (r(s(s(elem!1)), s(z))),
% 4.96/5.19 inference(modus_ponens,[status(thm)],[254, 34027])).
% 4.96/5.19 tff(34029,plain,
% 4.96/5.19 ($false),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[33999, 34028])).
% 4.96/5.19 tff(34030,plain,((~b(s(elem!1), z)) | (~r(s(s(elem!1)), elem!1)) | r(s(z), elem!1) | (~b(s(s(s(elem!1))), elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~r(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(z)) | (~b(s(z), s(elem!1))) | r(elem!1, s(z)) | (~b(z, s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.19 tff(34031,plain,
% 4.96/5.19 (~b(s(elem!1), z)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[34030, 33963, 33971, 254, 1929, 210, 6387, 8722, 878, 1740, 264, 1917, 32771, 33970, 33965])).
% 4.96/5.19 tff(34032,plain,
% 4.96/5.19 (r(s(elem!1), z)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[1812, 34031])).
% 4.96/5.19 tff(34033,plain,
% 4.96/5.19 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[7046, 34032, 1353])).
% 4.96/5.19 tff(34034,plain,
% 4.96/5.19 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[1515, 34033, 210])).
% 4.96/5.19 tff(34035,plain,
% 4.96/5.19 (~r(s(elem!1), elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[2764, 34032, 234])).
% 4.96/5.19 tff(34036,plain,
% 4.96/5.19 (b(s(elem!1), elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[312, 34035, 294])).
% 4.96/5.19 tff(34037,plain,
% 4.96/5.19 ($false),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[13508, 34036, 34034, 1929, 33341, 33963])).
% 4.96/5.19 tff(34038,plain,((~r(z, elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(elem!1)), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~r(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(z)) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.96/5.19 tff(34039,plain,
% 4.96/5.19 (~r(z, elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[34038, 7031, 1929, 33957, 6387, 8722, 33955, 28760, 264, 33535, 12172, 137])).
% 4.96/5.19 tff(34040,plain,
% 4.96/5.19 (b(z, elem!1)),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[353, 34039, 33534])).
% 4.96/5.19 tff(34041,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(34042,plain,
% 4.96/5.19 (((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(34043,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), elem!1))))),
% 4.96/5.19 inference(monotonicity,[status(thm)],[34042])).
% 4.96/5.19 tff(34044,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 4.96/5.19 inference(transitivity,[status(thm)],[34043, 34041])).
% 4.96/5.19 tff(34045,plain,
% 4.96/5.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))),
% 4.96/5.19 inference(quant_inst,[status(thm)],[])).
% 4.96/5.19 tff(34046,plain,
% 4.96/5.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(z), elem!1))),
% 4.96/5.19 inference(modus_ponens,[status(thm)],[34045, 34044])).
% 4.96/5.19 tff(34047,plain,
% 4.96/5.19 (~b(elem!1, s(s(elem!1)))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[34046, 338, 1021, 1929, 6386, 702, 1740])).
% 4.96/5.19 tff(34048,plain,
% 4.96/5.19 (r(elem!1, s(s(elem!1)))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[321, 34047, 137])).
% 4.96/5.19 tff(34049,plain,
% 4.96/5.19 (~r(elem!1, s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[17360, 34048, 721])).
% 4.96/5.19 tff(34050,plain,
% 4.96/5.19 (~b(s(elem!1), s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[16925, 34049, 32771, 315, 691, 176])).
% 4.96/5.19 tff(34051,plain,
% 4.96/5.19 (r(s(elem!1), s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[2070, 34050, 1917])).
% 4.96/5.19 tff(34052,plain,
% 4.96/5.19 (b(elem!1, s(z))),
% 4.96/5.19 inference(unit_resolution,[status(thm)],[819, 34049, 697])).
% 4.96/5.19 tff(34053,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(34054,plain,
% 4.96/5.19 (((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))) <=> ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 4.96/5.19 inference(rewrite,[status(thm)],[])).
% 4.96/5.19 tff(34055,plain,
% 4.96/5.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1)))))),
% 4.96/5.20 inference(monotonicity,[status(thm)],[34054])).
% 4.96/5.20 tff(34056,plain,
% 4.96/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1))))),
% 4.96/5.20 inference(transitivity,[status(thm)],[34055, 34053])).
% 4.96/5.20 tff(34057,plain,
% 4.96/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(s(elem!1), z)) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 4.96/5.20 inference(quant_inst,[status(thm)],[])).
% 4.96/5.20 tff(34058,plain,
% 4.96/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), elem!1)) | (~b(s(z), s(elem!1)))),
% 4.96/5.20 inference(modus_ponens,[status(thm)],[34057, 34056])).
% 4.96/5.20 tff(34059,plain,
% 4.96/5.20 (~b(z, s(z))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[34058, 338, 1021, 702, 1796, 1740, 32771])).
% 4.96/5.20 tff(34060,plain,
% 4.96/5.20 (r(z, s(z))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[403, 34059])).
% 4.96/5.20 tff(34061,plain,
% 4.96/5.20 (~r(s(s(elem!1)), s(z))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[33998, 34051, 264])).
% 4.96/5.20 tff(34062,plain,
% 4.96/5.20 (b(s(s(elem!1)), s(z))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[784, 34061])).
% 4.96/5.20 tff(34063,plain,
% 4.96/5.20 (~b(s(s(s(elem!1))), z)),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[34007, 34062])).
% 4.96/5.20 tff(34064,plain,
% 4.96/5.20 (r(s(s(s(elem!1))), z)),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[1387, 34063])).
% 4.96/5.20 tff(34065,plain,
% 4.96/5.20 (~r(s(s(s(elem!1))), s(z))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[4573, 34064, 34060])).
% 4.96/5.20 tff(34066,plain,
% 4.96/5.20 (b(s(s(s(elem!1))), s(z))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[1990, 34065])).
% 4.96/5.20 tff(34067,plain,
% 4.96/5.20 (~b(s(z), s(s(s(elem!1))))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[17387, 34066, 1929, 702, 34052])).
% 4.96/5.20 tff(34068,plain,
% 4.96/5.20 (r(s(z), s(s(s(elem!1))))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[1870, 34067])).
% 4.96/5.20 tff(34069,plain,
% 4.96/5.20 (~r(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[3055, 34068, 34051])).
% 4.96/5.20 tff(34070,plain,
% 4.96/5.20 (b(s(elem!1), s(s(s(elem!1))))),
% 4.96/5.20 inference(unit_resolution,[status(thm)],[1515, 34069, 210])).
% 4.96/5.20 tff(34071,plain,
% 4.96/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 4.96/5.20 inference(rewrite,[status(thm)],[])).
% 4.96/5.20 tff(34072,plain,
% 4.96/5.20 (((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34073,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1))))),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34072])).
% 5.04/5.20 tff(34074,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1)))),
% 5.04/5.20 inference(transitivity,[status(thm)],[34073, 34071])).
% 5.04/5.20 tff(34075,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), z)))),
% 5.04/5.20 inference(quant_inst,[status(thm)],[])).
% 5.04/5.20 tff(34076,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(z, elem!1)) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(z), elem!1))),
% 5.04/5.20 inference(modus_ponens,[status(thm)],[34075, 34074])).
% 5.04/5.20 tff(34077,plain,
% 5.04/5.20 ($false),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34076, 338, 1021, 1929, 34070, 315, 702, 1740])).
% 5.04/5.20 tff(34078,plain,((s(z) = elem!1) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(z), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(z)) | r(s(z), elem!1) | (~r(s(z), s(s(elem!1)))) | (elem!1 = s(s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.20 tff(34079,plain,
% 5.04/5.20 (s(z) = elem!1),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34078, 6336, 1929, 315, 28760, 6387, 8722, 878, 264, 1917, 176, 721, 137, 1021, 6386])).
% 5.04/5.20 tff(34080,plain,
% 5.04/5.20 (r(s(z), z) <=> r(elem!1, z)),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34079])).
% 5.04/5.20 tff(34081,plain,
% 5.04/5.20 ((~r(s(z), z)) <=> (~r(elem!1, z))),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34080])).
% 5.04/5.20 tff(34082,plain,
% 5.04/5.20 (~r(elem!1, z)),
% 5.04/5.20 inference(modus_ponens,[status(thm)],[2, 34081])).
% 5.04/5.20 tff(34083,plain,
% 5.04/5.20 (~r(z, s(z))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[1733, 34079, 1729])).
% 5.04/5.20 tff(34084,plain,
% 5.04/5.20 (b(z, s(z))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[403, 34083])).
% 5.04/5.20 tff(34085,plain,
% 5.04/5.20 (~b(z, s(elem!1))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[4302, 34084, 28760, 32771, 6336])).
% 5.04/5.20 tff(34086,plain,
% 5.04/5.20 (r(z, s(elem!1))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[1615, 34085])).
% 5.04/5.20 tff(34087,plain,
% 5.04/5.20 (~r(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[7166, 34086, 1353])).
% 5.04/5.20 tff(34088,plain,
% 5.04/5.20 (b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[1515, 34087, 210])).
% 5.04/5.20 tff(34089,plain,
% 5.04/5.20 (s(s(z)) = s(elem!1)),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34079])).
% 5.04/5.20 tff(34090,plain,
% 5.04/5.20 (s(s(s(z))) = s(s(elem!1))),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34089])).
% 5.04/5.20 tff(34091,plain,
% 5.04/5.20 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34090])).
% 5.04/5.20 tff(34092,plain,
% 5.04/5.20 (r(s(s(s(s(z)))), z) <=> r(s(s(s(elem!1))), z)),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34091])).
% 5.04/5.20 tff(34093,plain,
% 5.04/5.20 (r(s(s(s(elem!1))), z)),
% 5.04/5.20 inference(modus_ponens,[status(thm)],[1122, 34092])).
% 5.04/5.20 tff(34094,plain,
% 5.04/5.20 (~r(s(elem!1), elem!1)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[10159, 34093, 8722, 6387, 1729, 315, 1807, 34088, 137, 6386, 1353, 34082])).
% 5.04/5.20 tff(34095,plain,
% 5.04/5.20 (b(s(elem!1), elem!1)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[312, 34094, 294])).
% 5.04/5.20 tff(34096,plain,
% 5.04/5.20 (~r(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[8904, 34093, 34086])).
% 5.04/5.20 tff(34097,plain,
% 5.04/5.20 (b(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[1971, 34096, 218])).
% 5.04/5.20 tff(34098,plain,
% 5.04/5.20 ($false),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[20156, 338, 34097, 1929, 34088, 315, 34095])).
% 5.04/5.20 tff(34099,plain,(r(s(elem!1), z) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | r(z, elem!1) | (elem!1 = s(s(elem!1))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(z, s(s(s(elem!1))))) | (~r(s(s(s(s(z)))), z)) | r(s(z), z) | (~b(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (s(elem!1) = s(z)) | r(s(z), elem!1) | (~r(s(z), s(s(elem!1)))) | (~b(z, elem!1))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.20 tff(34100,plain,
% 5.04/5.20 (r(s(elem!1), z)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34099, 33962, 1929, 8722, 6387, 34039, 137, 33960, 7031, 1122, 2, 33955, 264, 33535, 33958, 12172, 34040])).
% 5.04/5.20 tff(34101,plain,
% 5.04/5.20 (b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[1515, 33604, 210])).
% 5.04/5.20 tff(34102,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34103,plain,
% 5.04/5.20 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1)))) <=> ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34104,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1)))))),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34103])).
% 5.04/5.20 tff(34105,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1))))),
% 5.04/5.20 inference(transitivity,[status(thm)],[34104, 34102])).
% 5.04/5.20 tff(34106,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))))),
% 5.04/5.20 inference(quant_inst,[status(thm)],[])).
% 5.04/5.20 tff(34107,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(elem!1))), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(elem!1)))),
% 5.04/5.20 inference(modus_ponens,[status(thm)],[34106, 34105])).
% 5.04/5.20 tff(34108,plain,
% 5.04/5.20 (~b(s(s(s(elem!1))), z)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34107, 338, 1929, 6387, 8722, 34101, 315])).
% 5.04/5.20 tff(34109,plain,
% 5.04/5.20 (r(s(s(s(elem!1))), z)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[1387, 34108])).
% 5.04/5.20 tff(34110,plain,
% 5.04/5.20 (~r(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[33763, 82, 1815, 34109])).
% 5.04/5.20 tff(34111,plain,
% 5.04/5.20 (b(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[1971, 34110, 218])).
% 5.04/5.20 tff(34112,plain,
% 5.04/5.20 (~b(s(elem!1), elem!1)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[20156, 338, 34111, 1929, 34101, 315])).
% 5.04/5.20 tff(34113,plain,
% 5.04/5.20 (r(s(elem!1), elem!1)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[312, 34112, 294])).
% 5.04/5.20 tff(34114,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34115,plain,
% 5.04/5.20 (((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34116,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))))),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34115])).
% 5.04/5.20 tff(34117,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))))),
% 5.04/5.20 inference(transitivity,[status(thm)],[34116, 34114])).
% 5.04/5.20 tff(34118,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(elem!1, s(s(s(elem!1))))))),
% 5.04/5.20 inference(quant_inst,[status(thm)],[])).
% 5.04/5.20 tff(34119,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(elem!1))) | (~b(s(elem!1), s(s(elem!1))))),
% 5.04/5.20 inference(modus_ponens,[status(thm)],[34118, 34117])).
% 5.04/5.20 tff(34120,plain,
% 5.04/5.20 (~b(s(elem!1), s(s(elem!1)))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34119, 338, 34111, 1929, 34101, 315, 6386])).
% 5.04/5.20 tff(34121,plain,
% 5.04/5.20 (r(s(elem!1), s(s(elem!1)))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[3081, 34120, 6853])).
% 5.04/5.20 tff(34122,plain,
% 5.04/5.20 (~r(elem!1, s(s(elem!1)))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[3077, 34121, 34113])).
% 5.04/5.20 tff(34123,plain,
% 5.04/5.20 (b(elem!1, s(s(elem!1)))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[321, 34122, 137])).
% 5.04/5.20 tff(34124,plain,
% 5.04/5.20 (~(s(z) = elem!1)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[13069, 34123, 12171])).
% 5.04/5.20 tff(34125,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34126,plain,
% 5.04/5.20 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34127,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34126])).
% 5.04/5.20 tff(34128,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 5.04/5.20 inference(transitivity,[status(thm)],[34127, 34125])).
% 5.04/5.20 tff(34129,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))))),
% 5.04/5.20 inference(quant_inst,[status(thm)],[])).
% 5.04/5.20 tff(34130,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 5.04/5.20 inference(modus_ponens,[status(thm)],[34129, 34128])).
% 5.04/5.20 tff(34131,plain,
% 5.04/5.20 ($false),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34130, 338, 1929, 762, 6387, 6386, 747, 5431])).
% 5.04/5.20 tff(34132,plain,((~b(s(z), s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.20 tff(34133,plain,
% 5.04/5.20 (~b(s(z), s(s(elem!1)))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34132, 22821, 762, 6387, 1929, 5431])).
% 5.04/5.20 tff(34134,plain,
% 5.04/5.20 (r(s(z), s(s(elem!1)))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[743, 34133])).
% 5.04/5.20 tff(34135,plain,
% 5.04/5.20 (~r(s(z), elem!1)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[7269, 254, 34134])).
% 5.04/5.20 tff(34136,plain,
% 5.04/5.20 (b(s(z), elem!1)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[701, 34135, 691])).
% 5.04/5.20 tff(34137,plain,
% 5.04/5.20 (~b(s(z), z)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34046, 338, 8751, 1929, 762, 22821, 34136])).
% 5.04/5.20 tff(34138,plain,
% 5.04/5.20 (r(s(z), z)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[24, 21, 11, 34137])).
% 5.04/5.20 tff(34139,plain,
% 5.04/5.20 (~r(s(z), s(s(s(elem!1))))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[11135, 82, 8749, 34138])).
% 5.04/5.20 tff(34140,plain,
% 5.04/5.20 (b(s(z), s(s(s(elem!1))))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[1868, 21, 1263, 34139])).
% 5.04/5.20 tff(34141,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34142,plain,
% 5.04/5.20 (((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1)))))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34143,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z)))))),
% 5.04/5.20 inference(monotonicity,[status(thm)],[34142])).
% 5.04/5.20 tff(34144,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.20 inference(transitivity,[status(thm)],[34143, 34141])).
% 5.04/5.20 tff(34145,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))))),
% 5.04/5.20 inference(quant_inst,[status(thm)],[])).
% 5.04/5.20 tff(34146,plain,
% 5.04/5.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z)))),
% 5.04/5.20 inference(modus_ponens,[status(thm)],[34145, 34144])).
% 5.04/5.20 tff(34147,plain,
% 5.04/5.20 (~b(s(s(elem!1)), s(z))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34146, 338, 1929, 762, 6387, 22821, 34140])).
% 5.04/5.20 tff(34148,plain,
% 5.04/5.20 ((s(s(elem!1)) = s(z)) | r(s(s(elem!1)), s(z))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[782, 21, 34147])).
% 5.04/5.20 tff(34149,plain,
% 5.04/5.20 (r(s(s(elem!1)), s(z))),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[34148, 2538])).
% 5.04/5.20 tff(34150,plain,
% 5.04/5.20 (b(z, elem!1)),
% 5.04/5.20 inference(unit_resolution,[status(thm)],[353, 8750, 714])).
% 5.04/5.20 tff(34151,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), elem!1)))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34152,plain,
% 5.04/5.20 (((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z)))) <=> ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), elem!1)))),
% 5.04/5.20 inference(rewrite,[status(thm)],[])).
% 5.04/5.20 tff(34153,plain,
% 5.04/5.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), elem!1))))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[34152])).
% 5.04/5.21 tff(34154,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), elem!1)))),
% 5.04/5.21 inference(transitivity,[status(thm)],[34153, 34151])).
% 5.04/5.21 tff(34155,plain,
% 5.04/5.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(z, elem!1)) | (~b(z, s(z))))),
% 5.04/5.21 inference(quant_inst,[status(thm)],[])).
% 5.04/5.21 tff(34156,plain,
% 5.04/5.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(z, elem!1)) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(z, s(z))) | (~b(s(z), elem!1))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[34155, 34154])).
% 5.04/5.21 tff(34157,plain,
% 5.04/5.21 ($false),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34156, 338, 34150, 1929, 762, 6386, 706, 486])).
% 5.04/5.21 tff(34158,plain,((~b(z, s(z))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~b(s(z), elem!1)) | (z = elem!1) | (~r(s(s(s(elem!1))), elem!1)) | b(s(s(s(elem!1))), z)), inference(lemma,lemma(discharge,[]))).
% 5.04/5.21 tff(34159,plain,
% 5.04/5.21 (~b(z, s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34158, 22821, 762, 1929, 34136, 4711, 1269, 1382])).
% 5.04/5.21 tff(34160,plain,
% 5.04/5.21 ((z = s(z)) | r(z, s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[401, 21, 34159])).
% 5.04/5.21 tff(34161,plain,
% 5.04/5.21 (r(z, s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34160, 5846])).
% 5.04/5.21 tff(34162,plain,
% 5.04/5.21 (~r(s(s(elem!1)), z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[7133, 82, 34161, 34149])).
% 5.04/5.21 tff(34163,plain,
% 5.04/5.21 (b(s(s(elem!1)), z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[800, 34162])).
% 5.04/5.21 tff(34164,plain,
% 5.04/5.21 (~r(z, s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[12097, 82, 34161, 34149])).
% 5.04/5.21 tff(34165,plain,
% 5.04/5.21 (b(z, s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[161, 34164])).
% 5.04/5.21 tff(34166,plain,
% 5.04/5.21 (~b(elem!1, z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[8965, 8751, 762, 34165, 34163])).
% 5.04/5.21 tff(34167,plain,
% 5.04/5.21 (r(elem!1, z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[846, 34166, 719])).
% 5.04/5.21 tff(34168,plain,
% 5.04/5.21 ($false),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[8759, 82, 34167, 8749, 1269])).
% 5.04/5.21 tff(34169,plain,((~r(s(s(elem!1)), elem!1)) | (~r(s(s(s(elem!1))), elem!1)) | (elem!1 = z) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | b(s(s(s(elem!1))), z) | (s(z) = elem!1) | (~b(s(s(s(elem!1))), s(z))) | (s(s(elem!1)) = s(s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.21 tff(34170,plain,
% 5.04/5.21 (~b(s(s(s(elem!1))), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34169, 34124, 6387, 1929, 7060, 719, 254, 34108, 34123, 1269])).
% 5.04/5.21 tff(34171,plain,
% 5.04/5.21 (r(s(s(s(elem!1))), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1990, 34170])).
% 5.04/5.21 tff(34172,plain,
% 5.04/5.21 (~r(s(z), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[7269, 254, 12172])).
% 5.04/5.21 tff(34173,plain,
% 5.04/5.21 (b(s(z), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[701, 34124, 34172])).
% 5.04/5.21 tff(34174,plain,
% 5.04/5.21 (~b(z, s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34158, 34173, 1929, 4711, 6386, 1269, 34108, 34123])).
% 5.04/5.21 tff(34175,plain,
% 5.04/5.21 (r(z, s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[403, 34174])).
% 5.04/5.21 tff(34176,plain,
% 5.04/5.21 ($false),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[4573, 34175, 34171, 34109])).
% 5.04/5.21 tff(34177,plain,((~r(s(elem!1), z)) | (~b(elem!1, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(elem!1))))) | (~r(s(s(s(elem!1))), elem!1)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (elem!1 = z) | (~r(s(s(elem!1)), elem!1)) | b(s(z), s(s(elem!1))) | (elem!1 = s(s(elem!1))) | (~b(elem!1, s(elem!1))) | (~b(z, s(s(elem!1)))) | (~r(z, s(s(s(elem!1)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.21 tff(34178,plain,
% 5.04/5.21 (~r(s(s(s(elem!1))), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34177, 34100, 33960, 1929, 6387, 33526, 33957, 12171, 137, 33962, 8722, 7031])).
% 5.04/5.21 tff(34179,plain,
% 5.04/5.21 (b(s(s(s(elem!1))), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2162, 34178, 27031])).
% 5.04/5.21 tff(34180,plain,
% 5.04/5.21 (~b(elem!1, s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[16475, 34179, 6387, 1929, 33960])).
% 5.04/5.21 tff(34181,plain,
% 5.04/5.21 (r(elem!1, s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[321, 34180, 137])).
% 5.04/5.21 tff(34182,plain,
% 5.04/5.21 (~r(elem!1, s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[17360, 34181, 12172])).
% 5.04/5.21 tff(34183,plain,
% 5.04/5.21 (b(s(z), s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[3066, 33536, 12216])).
% 5.04/5.21 tff(34184,plain,
% 5.04/5.21 (~r(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[7046, 34100, 7031])).
% 5.04/5.21 tff(34185,plain,
% 5.04/5.21 (b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1515, 34184, 210])).
% 5.04/5.21 tff(34186,plain,
% 5.04/5.21 (~b(s(elem!1), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[13508, 34179, 1929, 33962, 34185])).
% 5.04/5.21 tff(34187,plain,
% 5.04/5.21 (r(s(elem!1), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[312, 34186, 294])).
% 5.04/5.21 tff(34188,plain,
% 5.04/5.21 (~r(s(elem!1), s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[3077, 34187, 34181])).
% 5.04/5.21 tff(34189,plain,
% 5.04/5.21 (b(s(elem!1), s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[3081, 34188, 6853])).
% 5.04/5.21 tff(34190,plain,
% 5.04/5.21 (~r(s(s(s(elem!1))), z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[33178, 34189, 1929, 33960, 33962, 34040, 34179, 210, 33955, 7031])).
% 5.04/5.21 tff(34191,plain,
% 5.04/5.21 (b(s(s(s(elem!1))), z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1387, 34190])).
% 5.04/5.21 tff(34192,plain,
% 5.04/5.21 ((~b(s(s(s(elem!1))), z)) | (~b(s(s(elem!1)), s(z)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34006, 338, 6387, 8722, 33955, 28760])).
% 5.04/5.21 tff(34193,plain,
% 5.04/5.21 (~b(s(s(elem!1)), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34192, 34191])).
% 5.04/5.21 tff(34194,plain,
% 5.04/5.21 (r(s(s(elem!1)), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[784, 34193])).
% 5.04/5.21 tff(34195,plain,
% 5.04/5.21 (~r(s(elem!1), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[33998, 34194, 264])).
% 5.04/5.21 tff(34196,plain,
% 5.04/5.21 (b(s(elem!1), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2070, 34195, 33535])).
% 5.04/5.21 tff(34197,plain,
% 5.04/5.21 (s(z) = elem!1),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[16925, 34196, 34183, 33962, 34182, 33958])).
% 5.04/5.21 tff(34198,plain,
% 5.04/5.21 (b(s(elem!1), s(z)) <=> b(s(elem!1), elem!1)),
% 5.04/5.21 inference(monotonicity,[status(thm)],[34197])).
% 5.04/5.21 tff(34199,plain,
% 5.04/5.21 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(z))),
% 5.04/5.21 inference(symmetry,[status(thm)],[34198])).
% 5.04/5.21 tff(34200,plain,
% 5.04/5.21 ((~b(s(elem!1), elem!1)) <=> (~b(s(elem!1), s(z)))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[34199])).
% 5.04/5.21 tff(34201,plain,
% 5.04/5.21 (~b(s(elem!1), s(z))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[34186, 34200])).
% 5.04/5.21 tff(34202,plain,
% 5.04/5.21 ($false),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34196, 34201])).
% 5.04/5.21 tff(34203,plain,(b(z, s(s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(s(elem!1))))) | (elem!1 = s(s(elem!1))) | b(s(z), s(s(elem!1))) | (~r(s(s(s(s(z)))), z)) | r(s(z), z) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.21 tff(34204,plain,
% 5.04/5.21 (b(z, s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34203, 10433, 7059, 32026, 33905, 137, 12171, 12174, 33907, 33041])).
% 5.04/5.21 tff(34205,plain,
% 5.04/5.21 (~b(s(s(elem!1)), s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[12264, 34204, 32026, 7059, 33954])).
% 5.04/5.21 tff(34206,plain,
% 5.04/5.21 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2619, 34205, 7060])).
% 5.04/5.21 tff(34207,plain,
% 5.04/5.21 (~r(s(s(elem!1)), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[25645, 34206, 33905, 33906, 210, 10433])).
% 5.04/5.21 tff(34208,plain,
% 5.04/5.21 (b(s(s(elem!1)), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[327, 34207, 197])).
% 5.04/5.21 tff(34209,plain,
% 5.04/5.21 (~b(s(s(s(elem!1))), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[27013, 34208, 7059, 137, 10433, 33905])).
% 5.04/5.21 tff(34210,plain,
% 5.04/5.21 (r(s(s(s(elem!1))), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2162, 34209, 33906])).
% 5.04/5.21 tff(34211,plain,
% 5.04/5.21 (~b(s(s(s(elem!1))), z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[17927, 34204, 7059, 32026, 33954])).
% 5.04/5.21 tff(34212,plain,
% 5.04/5.21 (~r(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[6302, 34206, 10433])).
% 5.04/5.21 tff(34213,plain,
% 5.04/5.21 (b(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1971, 34212, 218])).
% 5.04/5.21 tff(34214,plain,
% 5.04/5.21 (~r(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2629, 34206, 10433])).
% 5.04/5.21 tff(34215,plain,
% 5.04/5.21 (b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1515, 34214, 210])).
% 5.04/5.21 tff(34216,plain,
% 5.04/5.21 (~b(s(s(s(z))), z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[29694, 712, 3348, 878, 8722, 6387])).
% 5.04/5.21 tff(34217,plain,
% 5.04/5.21 (r(s(s(s(z))), z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[135, 34216])).
% 5.04/5.21 tff(34218,plain,
% 5.04/5.21 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[3603, 34217, 1122])).
% 5.04/5.21 tff(34219,plain,
% 5.04/5.21 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[689, 34218])).
% 5.04/5.21 tff(34220,plain,
% 5.04/5.21 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[10723, 34217, 1122])).
% 5.04/5.21 tff(34221,plain,
% 5.04/5.21 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1011, 34220])).
% 5.04/5.21 tff(34222,plain,
% 5.04/5.21 (~r(s(z), s(s(s(s(z)))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[32520, 34219, 1496, 6387, 8808, 34221, 721])).
% 5.04/5.21 tff(34223,plain,
% 5.04/5.21 (b(s(z), s(s(s(s(z)))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[106, 34222])).
% 5.04/5.21 tff(34224,plain,
% 5.04/5.21 (b(s(s(s(elem!1))), s(z)) <=> b(s(s(s(z))), s(z))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[2997])).
% 5.04/5.21 tff(34225,plain,
% 5.04/5.21 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(z))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[2995])).
% 5.04/5.21 tff(34226,plain,
% 5.04/5.21 (b(s(s(s(elem!1))), s(z))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[1500, 34225])).
% 5.04/5.21 tff(34227,plain,
% 5.04/5.21 (b(s(s(s(z))), s(z))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[34226, 34224])).
% 5.04/5.21 tff(34228,plain,
% 5.04/5.21 (b(s(z), s(s(s(elem!1)))) <=> b(s(z), s(s(s(z))))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[2997])).
% 5.04/5.21 tff(34229,plain,
% 5.04/5.21 (b(s(elem!1), s(s(s(elem!1)))) <=> b(s(z), s(s(s(elem!1))))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[2995])).
% 5.04/5.21 tff(34230,plain,
% 5.04/5.21 (b(s(z), s(s(s(elem!1))))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[1564, 34229])).
% 5.04/5.21 tff(34231,plain,
% 5.04/5.21 (b(s(z), s(s(s(z))))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[34230, 34228])).
% 5.04/5.21 tff(34232,plain,
% 5.04/5.21 ($false),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[22134, 338, 34231, 34227, 34221, 34223, 34219])).
% 5.04/5.21 tff(34233,plain,((~(elem!1 = z)) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (s(s(s(s(elem!1)))) = s(s(elem!1))) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.21 tff(34234,plain,
% 5.04/5.21 (~(elem!1 = z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34233, 34215, 34213, 2119, 7059, 12172, 12174, 33041, 33954, 32026])).
% 5.04/5.21 tff(34235,plain,
% 5.04/5.21 (r(elem!1, s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[8761, 34234, 32026, 34211, 137, 34207, 34210])).
% 5.04/5.21 tff(34236,plain,
% 5.04/5.21 (~r(s(z), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[8741, 34235, 12172])).
% 5.04/5.21 tff(34237,plain,
% 5.04/5.21 (~r(elem!1, s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[17360, 34235, 12172])).
% 5.04/5.21 tff(34238,plain,
% 5.04/5.21 (~r(elem!1, s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2715, 34235, 10433])).
% 5.04/5.21 tff(34239,plain,
% 5.04/5.21 (b(elem!1, s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[252, 34238, 232])).
% 5.04/5.21 tff(34240,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.21 inference(rewrite,[status(thm)],[])).
% 5.04/5.21 tff(34241,plain,
% 5.04/5.21 (((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.21 inference(rewrite,[status(thm)],[])).
% 5.04/5.21 tff(34242,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z)))))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[34241])).
% 5.04/5.21 tff(34243,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.21 inference(transitivity,[status(thm)],[34242, 34240])).
% 5.04/5.21 tff(34244,plain,
% 5.04/5.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(elem!1))))) | (~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.21 inference(quant_inst,[status(thm)],[])).
% 5.04/5.21 tff(34245,plain,
% 5.04/5.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(elem!1))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(elem!1))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z)))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[34244, 34243])).
% 5.04/5.21 tff(34246,plain,
% 5.04/5.21 ((~b(z, s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(z)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34245, 338, 7059, 32026, 33954, 33908])).
% 5.04/5.21 tff(34247,plain,
% 5.04/5.21 (~b(s(s(elem!1)), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34246, 34204])).
% 5.04/5.21 tff(34248,plain,
% 5.04/5.21 (r(s(s(elem!1)), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[784, 34247])).
% 5.04/5.21 tff(34249,plain,
% 5.04/5.21 (~r(s(elem!1), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[33998, 34248, 10433])).
% 5.04/5.21 tff(34250,plain,
% 5.04/5.21 (~(z = elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2752, 34234])).
% 5.04/5.21 tff(34251,plain,
% 5.04/5.21 (~(s(elem!1) = s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1912, 34250])).
% 5.04/5.21 tff(34252,plain,
% 5.04/5.21 (b(s(elem!1), s(z))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2070, 34251, 34249])).
% 5.04/5.21 tff(34253,plain,
% 5.04/5.21 (~(s(z) = s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1919, 34251])).
% 5.04/5.21 tff(34254,plain,
% 5.04/5.21 (b(s(z), s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[3066, 34253, 13856])).
% 5.04/5.21 tff(34255,plain,
% 5.04/5.21 (s(z) = elem!1),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[16925, 34254, 34252, 34239, 34237, 34236])).
% 5.04/5.21 tff(34256,plain,
% 5.04/5.21 (b(s(z), z) <=> b(elem!1, z)),
% 5.04/5.21 inference(monotonicity,[status(thm)],[34255])).
% 5.04/5.21 tff(34257,plain,
% 5.04/5.21 (b(elem!1, z) <=> b(s(z), z)),
% 5.04/5.21 inference(symmetry,[status(thm)],[34256])).
% 5.04/5.21 tff(34258,plain,
% 5.04/5.21 ((~b(elem!1, z)) <=> (~b(s(z), z))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[34257])).
% 5.04/5.21 tff(34259,plain,
% 5.04/5.21 (r(s(s(s(elem!1))), z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1387, 34211])).
% 5.04/5.21 tff(34260,plain,
% 5.04/5.21 (~r(z, elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[2157, 34210, 34259])).
% 5.04/5.21 tff(34261,plain,
% 5.04/5.21 (b(z, elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[353, 34250, 34260])).
% 5.04/5.21 tff(34262,plain,
% 5.04/5.21 (~b(elem!1, z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[18067, 34261, 34208, 32026, 33954])).
% 5.04/5.21 tff(34263,plain,
% 5.04/5.21 (~b(s(z), z)),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[34262, 34258])).
% 5.04/5.21 tff(34264,plain,
% 5.04/5.21 ($false),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[33908, 34263])).
% 5.04/5.21 tff(34265,plain,((elem!1 = s(s(elem!1))) | b(s(z), s(s(elem!1))) | r(s(s(s(elem!1))), s(s(elem!1))) | b(s(s(s(s(z)))), z) | b(s(s(elem!1)), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.21 tff(34266,plain,
% 5.04/5.21 (b(s(s(elem!1)), s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34265, 31989, 12173, 137, 31968])).
% 5.04/5.21 tff(34267,plain,
% 5.04/5.21 (~r(z, s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[18685, 32000, 32009, 234, 31982, 215, 306])).
% 5.04/5.21 tff(34268,plain,
% 5.04/5.21 (b(z, s(elem!1))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1615, 34267])).
% 5.04/5.21 tff(34269,plain,
% 5.04/5.21 (~b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[17109, 34268, 8722, 878, 306, 34266, 234, 32009])).
% 5.04/5.21 tff(34270,plain,
% 5.04/5.21 (r(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1515, 34269, 215])).
% 5.04/5.21 tff(34271,plain,
% 5.04/5.21 ($false),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[19763, 34270, 32021, 8722, 7154, 32000])).
% 5.04/5.21 tff(34272,plain,((~r(elem!1, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (s(elem!1) = s(s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (s(elem!1) = elem!1) | (~r(z, elem!1)) | (~b(s(s(elem!1)), s(z))) | b(s(s(s(s(z)))), z) | (elem!1 = s(s(elem!1))) | (s(s(s(z))) = s(s(elem!1))) | r(s(s(s(s(z)))), elem!1) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.21 tff(34273,plain,
% 5.04/5.21 (~r(elem!1, s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34272, 31967, 31953, 878, 31966, 3124, 764, 12173, 31965, 871, 31963, 651, 2911])).
% 5.04/5.21 tff(34274,plain,
% 5.04/5.21 (b(elem!1, s(s(elem!1)))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[321, 34273, 31965])).
% 5.04/5.21 tff(34275,plain,
% 5.04/5.21 (~(s(s(s(s(z)))) = elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[10609, 34274, 1267])).
% 5.04/5.21 tff(34276,plain,
% 5.04/5.21 (b(s(s(s(s(z)))), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1144, 34275, 31963])).
% 5.04/5.21 tff(34277,plain,
% 5.04/5.21 (~(elem!1 = s(s(s(s(z)))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1062, 34275])).
% 5.04/5.21 tff(34278,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.21 inference(rewrite,[status(thm)],[])).
% 5.04/5.21 tff(34279,plain,
% 5.04/5.21 (((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.21 inference(rewrite,[status(thm)],[])).
% 5.04/5.21 tff(34280,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z)))))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[34279])).
% 5.04/5.21 tff(34281,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.21 inference(transitivity,[status(thm)],[34280, 34278])).
% 5.04/5.21 tff(34282,plain,
% 5.04/5.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(z))) | (~b(z, s(s(elem!1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, z)))),
% 5.04/5.21 inference(quant_inst,[status(thm)],[])).
% 5.04/5.21 tff(34283,plain,
% 5.04/5.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z)))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[34282, 34281])).
% 5.04/5.21 tff(34284,plain,
% 5.04/5.21 (~b(elem!1, z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34283, 338, 34274, 31953, 878, 1740, 764])).
% 5.04/5.21 tff(34285,plain,
% 5.04/5.21 (r(elem!1, z)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[846, 34284, 1619])).
% 5.04/5.21 tff(34286,plain,
% 5.04/5.21 (~r(elem!1, s(s(s(s(z)))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[3590, 82, 34285, 12174])).
% 5.04/5.21 tff(34287,plain,
% 5.04/5.21 (b(elem!1, s(s(s(s(z)))))),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[1094, 34286, 34277])).
% 5.04/5.21 tff(34288,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 5.04/5.21 inference(rewrite,[status(thm)],[])).
% 5.04/5.21 tff(34289,plain,
% 5.04/5.21 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 5.04/5.21 inference(rewrite,[status(thm)],[])).
% 5.04/5.21 tff(34290,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 5.04/5.21 inference(monotonicity,[status(thm)],[34289])).
% 5.04/5.21 tff(34291,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 5.04/5.21 inference(transitivity,[status(thm)],[34290, 34288])).
% 5.04/5.21 tff(34292,plain,
% 5.04/5.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.04/5.21 inference(quant_inst,[status(thm)],[])).
% 5.04/5.21 tff(34293,plain,
% 5.04/5.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 5.04/5.21 inference(modus_ponens,[status(thm)],[34292, 34291])).
% 5.04/5.21 tff(34294,plain,
% 5.04/5.21 ($false),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34293, 338, 763, 762, 3918, 1130, 30991])).
% 5.04/5.21 tff(34295,plain,((~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.21 tff(34296,plain,
% 5.04/5.21 (~b(s(s(elem!1)), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[34295, 34274, 34287, 34276])).
% 5.04/5.21 tff(34297,plain,
% 5.04/5.21 (~r(s(z), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[17495, 34296, 31953, 878, 177])).
% 5.04/5.21 tff(34298,plain,
% 5.04/5.21 (b(s(z), elem!1)),
% 5.04/5.21 inference(unit_resolution,[status(thm)],[701, 34297, 20942])).
% 5.04/5.21 tff(34299,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 5.04/5.21 inference(rewrite,[status(thm)],[])).
% 5.04/5.21 tff(34300,plain,
% 5.04/5.21 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 5.04/5.21 inference(rewrite,[status(thm)],[])).
% 5.04/5.21 tff(34301,plain,
% 5.04/5.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34300])).
% 5.04/5.22 tff(34302,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z)))))))),
% 5.04/5.22 inference(transitivity,[status(thm)],[34301, 34299])).
% 5.04/5.22 tff(34303,plain,
% 5.04/5.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))))),
% 5.04/5.22 inference(quant_inst,[status(thm)],[])).
% 5.04/5.22 tff(34304,plain,
% 5.04/5.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(z), elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)) | (~b(elem!1, s(s(s(s(z))))))),
% 5.04/5.22 inference(modus_ponens,[status(thm)],[34303, 34302])).
% 5.04/5.22 tff(34305,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34304, 338, 34274, 34298, 34287, 651, 34276, 30991])).
% 5.04/5.22 tff(34306,plain,(b(z, elem!1) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | b(s(s(s(s(z)))), s(s(elem!1))) | b(s(s(s(s(z)))), z) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34307,plain,
% 5.04/5.22 (b(z, elem!1)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34306, 31962, 878, 1740, 31740, 1267, 12173, 871, 2911, 31938, 714])).
% 5.04/5.22 tff(34308,plain,
% 5.04/5.22 (~(elem!1 = s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[16535, 34307, 31937])).
% 5.04/5.22 tff(34309,plain,
% 5.04/5.22 (~(s(s(s(s(z)))) = elem!1)),
% 5.04/5.22 inference(modus_ponens,[status(thm)],[34308, 28870])).
% 5.04/5.22 tff(34310,plain,
% 5.04/5.22 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[30554, 878, 12173])).
% 5.04/5.22 tff(34311,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[919, 31938, 150])).
% 5.04/5.22 tff(34312,plain,
% 5.04/5.22 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[689, 34311])).
% 5.04/5.22 tff(34313,plain,
% 5.04/5.22 (~b(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[5782, 34312, 2911, 31805, 31740])).
% 5.04/5.22 tff(34314,plain,
% 5.04/5.22 (r(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[437, 34313])).
% 5.04/5.22 tff(34315,plain,
% 5.04/5.22 (~b(s(z), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[26532, 34312, 31740, 31805, 2911])).
% 5.04/5.22 tff(34316,plain,
% 5.04/5.22 (r(s(z), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[424, 34315])).
% 5.04/5.22 tff(34317,plain,
% 5.04/5.22 (~(elem!1 = s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1046, 34307, 138])).
% 5.04/5.22 tff(34318,plain,
% 5.04/5.22 (~r(z, s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[4062, 486, 71, 31740, 1740])).
% 5.04/5.22 tff(34319,plain,
% 5.04/5.22 (b(z, s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[563, 34318])).
% 5.04/5.22 tff(34320,plain,
% 5.04/5.22 (~b(s(s(z)), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[31948, 486, 34319, 1740, 31347])).
% 5.04/5.22 tff(34321,plain,
% 5.04/5.22 (r(s(s(z)), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[472, 34320])).
% 5.04/5.22 tff(34322,plain,
% 5.04/5.22 (~r(s(s(elem!1)), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[31960, 17007, 34321])).
% 5.04/5.22 tff(34323,plain,
% 5.04/5.22 (b(s(s(elem!1)), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[784, 34322])).
% 5.04/5.22 tff(34324,plain,
% 5.04/5.22 (~b(s(z), s(s(elem!1)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[31778, 34323, 31740, 2911])).
% 5.04/5.22 tff(34325,plain,
% 5.04/5.22 (r(s(z), s(s(elem!1)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[743, 34324])).
% 5.04/5.22 tff(34326,plain,
% 5.04/5.22 (elem!1 = s(s(elem!1))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[28963, 1729, 1122, 363, 691, 1740, 486, 1267, 8722, 34323, 34325, 719])).
% 5.04/5.22 tff(34327,plain,
% 5.04/5.22 (s(s(s(elem!1))) = s(elem!1)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1418, 34326])).
% 5.04/5.22 tff(34328,plain,
% 5.04/5.22 (s(elem!1) = s(s(s(elem!1)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[217, 34327])).
% 5.04/5.22 tff(34329,plain,
% 5.04/5.22 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[3225, 34328])).
% 5.04/5.22 tff(34330,plain,
% 5.04/5.22 (s(s(s(s(elem!1)))) = s(s(elem!1))),
% 5.04/5.22 inference(symmetry,[status(thm)],[34329])).
% 5.04/5.22 tff(34331,plain,
% 5.04/5.22 (s(s(s(s(s(elem!1))))) = s(s(s(elem!1)))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34330])).
% 5.04/5.22 tff(34332,plain,
% 5.04/5.22 (s(s(s(s(s(elem!1))))) = s(elem!1)),
% 5.04/5.22 inference(transitivity,[status(thm)],[34331, 34327])).
% 5.04/5.22 tff(34333,plain,
% 5.04/5.22 (s(s(s(s(s(s(elem!1)))))) = s(s(elem!1))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34332])).
% 5.04/5.22 tff(34334,plain,
% 5.04/5.22 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z)))) <=> b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34333])).
% 5.04/5.22 tff(34335,plain,
% 5.04/5.22 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 5.04/5.22 inference(symmetry,[status(thm)],[34334])).
% 5.04/5.22 tff(34336,plain,
% 5.04/5.22 (~r(elem!1, s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[28888, 1729, 1122, 31740, 1740, 691, 719, 486, 2911, 406, 2444, 427])).
% 5.04/5.22 tff(34337,plain,
% 5.04/5.22 (b(elem!1, s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1160, 34336, 1050])).
% 5.04/5.22 tff(34338,plain,
% 5.04/5.22 (b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[3458, 34337, 34326])).
% 5.04/5.22 tff(34339,plain,
% 5.04/5.22 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(z))))),
% 5.04/5.22 inference(modus_ponens,[status(thm)],[34338, 34335])).
% 5.04/5.22 tff(34340,plain,
% 5.04/5.22 (b(s(s(s(s(s(s(elem!1)))))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34333])).
% 5.04/5.22 tff(34341,plain,
% 5.04/5.22 (b(s(s(elem!1)), s(z)) <=> b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 5.04/5.22 inference(symmetry,[status(thm)],[34340])).
% 5.04/5.22 tff(34342,plain,
% 5.04/5.22 (b(s(s(s(s(s(s(elem!1)))))), s(z))),
% 5.04/5.22 inference(modus_ponens,[status(thm)],[34323, 34341])).
% 5.04/5.22 tff(34343,plain,
% 5.04/5.22 (r(s(s(s(s(s(s(elem!1)))))), s(s(z))) <=> r(s(s(elem!1)), s(s(z)))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34333])).
% 5.04/5.22 tff(34344,plain,
% 5.04/5.22 (r(s(s(elem!1)), s(s(z))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(z)))),
% 5.04/5.22 inference(symmetry,[status(thm)],[34343])).
% 5.04/5.22 tff(34345,plain,
% 5.04/5.22 (r(s(s(s(s(s(s(elem!1)))))), s(s(z)))),
% 5.04/5.22 inference(modus_ponens,[status(thm)],[17007, 34344])).
% 5.04/5.22 tff(34346,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[9466, 34345, 34342, 71, 31740, 987, 34339])).
% 5.04/5.22 tff(34347,plain,(r(z, elem!1) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))) | (elem!1 = s(s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (s(z) = elem!1) | (elem!1 = z) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (elem!1 = s(s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (s(s(elem!1)) = s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(elem!1))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34348,plain,
% 5.04/5.22 (r(z, elem!1)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34347, 31955, 31805, 71, 34317, 12174, 1740, 20942, 1619, 31807, 2911, 34316, 34308, 34314, 34310, 1267, 31953])).
% 5.04/5.22 tff(34349,plain,
% 5.04/5.22 (~r(s(s(s(s(z)))), elem!1)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[11382, 34348, 31938])).
% 5.04/5.22 tff(34350,plain,
% 5.04/5.22 (~r(elem!1, s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[3328, 34348, 150])).
% 5.04/5.22 tff(34351,plain,
% 5.04/5.22 (b(elem!1, s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1160, 34350, 34317])).
% 5.04/5.22 tff(34352,plain,
% 5.04/5.22 (~(s(s(s(z))) = elem!1)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1056, 34317])).
% 5.04/5.22 tff(34353,plain,
% 5.04/5.22 (~r(s(s(s(z))), elem!1)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[12126, 34348, 150])).
% 5.04/5.22 tff(34354,plain,
% 5.04/5.22 (b(s(s(s(z))), elem!1)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1110, 34353, 34352])).
% 5.04/5.22 tff(34355,plain,
% 5.04/5.22 (~b(s(s(s(s(z)))), elem!1)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[2389, 34354, 34312, 31805, 34351])).
% 5.04/5.22 tff(34356,plain,
% 5.04/5.22 (s(s(s(s(z)))) = elem!1),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1144, 34355, 34349])).
% 5.04/5.22 tff(34357,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34356, 34309])).
% 5.04/5.22 tff(34358,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | b(z, s(s(s(z)))) | (~b(s(s(elem!1)), z)) | b(s(s(s(s(z)))), z) | (s(s(s(z))) = s(s(elem!1))) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34359,plain,
% 5.04/5.22 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34358, 31931, 31803, 21538, 138, 71, 12173, 31932, 31936])).
% 5.04/5.22 tff(34360,plain,
% 5.04/5.22 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[31408, 34359, 31805, 31811])).
% 5.04/5.22 tff(34361,plain,
% 5.04/5.22 (r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[6881, 34360, 31933])).
% 5.04/5.22 tff(34362,plain,
% 5.04/5.22 (~b(s(s(elem!1)), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[31893, 34359, 21538, 31740])).
% 5.04/5.22 tff(34363,plain,
% 5.04/5.22 (r(s(s(elem!1)), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[784, 34362])).
% 5.04/5.22 tff(34364,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[28843, 34363, 34361, 31813])).
% 5.04/5.22 tff(34365,plain,(b(s(s(s(s(z)))), z) | b(z, s(s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34366,plain,
% 5.04/5.22 (b(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34365, 138, 71, 70])).
% 5.04/5.22 tff(34367,plain,
% 5.04/5.22 (~b(z, s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[3204, 34366, 31740, 21538, 31803])).
% 5.04/5.22 tff(34368,plain,
% 5.04/5.22 (r(z, s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[403, 34367])).
% 5.04/5.22 tff(34369,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[2890, 34368, 150])).
% 5.04/5.22 tff(34370,plain,
% 5.04/5.22 (~b(z, s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[11153, 34366, 31740, 31803, 21538])).
% 5.04/5.22 tff(34371,plain,
% 5.04/5.22 (r(z, s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[391, 34370])).
% 5.04/5.22 tff(34372,plain,
% 5.04/5.22 (~b(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[16634, 34368, 150, 34371])).
% 5.04/5.22 tff(34373,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[437, 34372, 34369])).
% 5.04/5.22 tff(34374,plain,(b(z, s(s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34375,plain,
% 5.04/5.22 (b(z, s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34374, 70, 71])).
% 5.04/5.22 tff(34376,plain,
% 5.04/5.22 (~b(s(s(s(z))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[29788, 1731, 71, 70, 31803, 1122])).
% 5.04/5.22 tff(34377,plain,
% 5.04/5.22 (r(s(s(s(z))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[135, 34376])).
% 5.04/5.22 tff(34378,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[19094, 34377, 1731])).
% 5.04/5.22 tff(34379,plain,
% 5.04/5.22 (b(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[437, 34378])).
% 5.04/5.22 tff(34380,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[3603, 34377, 1122])).
% 5.04/5.22 tff(34381,plain,
% 5.04/5.22 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[689, 34380])).
% 5.04/5.22 tff(34382,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[12548, 34381, 34379, 31740, 1122, 1731, 21538, 34375])).
% 5.04/5.22 tff(34383,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34384,plain,
% 5.04/5.22 (~r(z, s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34383, 1122, 71, 70])).
% 5.04/5.22 tff(34385,plain,
% 5.04/5.22 (b(z, s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[403, 34384])).
% 5.04/5.22 tff(34386,plain,
% 5.04/5.22 (~r(z, s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[4062, 34385, 71, 31740, 31803])).
% 5.04/5.22 tff(34387,plain,
% 5.04/5.22 (b(z, s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[563, 34386])).
% 5.04/5.22 tff(34388,plain,
% 5.04/5.22 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[31757, 34387, 34375, 71, 70, 31347])).
% 5.04/5.22 tff(34389,plain,
% 5.04/5.22 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[534, 34388])).
% 5.04/5.22 tff(34390,plain,
% 5.04/5.22 (~r(s(z), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[13187, 34389, 70])).
% 5.04/5.22 tff(34391,plain,
% 5.04/5.22 (b(s(z), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[424, 34390])).
% 5.04/5.22 tff(34392,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[30250, 34391, 21538, 31803, 1122, 34385, 31740])).
% 5.04/5.22 tff(34393,plain,
% 5.04/5.22 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1457, 34389, 71])).
% 5.04/5.22 tff(34394,plain,
% 5.04/5.22 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1011, 34393])).
% 5.04/5.22 tff(34395,plain,
% 5.04/5.22 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[26532, 34391, 31740, 34394, 21538])).
% 5.04/5.22 tff(34396,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[689, 34395, 34392])).
% 5.04/5.22 tff(34397,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34398,plain,
% 5.04/5.22 (~r(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34397, 70, 71])).
% 5.04/5.22 tff(34399,plain,
% 5.04/5.22 (b(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[127, 34398])).
% 5.04/5.22 tff(34400,plain,
% 5.04/5.22 (~b(z, s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[11153, 34399, 31740, 31803, 21538])).
% 5.04/5.22 tff(34401,plain,
% 5.04/5.22 (r(z, s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[391, 34400])).
% 5.04/5.22 tff(34402,plain,
% 5.04/5.22 (~r(z, s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[22491, 34401, 71])).
% 5.04/5.22 tff(34403,plain,
% 5.04/5.22 (b(z, s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[563, 34402])).
% 5.04/5.22 tff(34404,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 5.04/5.22 inference(rewrite,[status(thm)],[])).
% 5.04/5.22 tff(34405,plain,
% 5.04/5.22 (((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 5.04/5.22 inference(rewrite,[status(thm)],[])).
% 5.04/5.22 tff(34406,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34405])).
% 5.04/5.22 tff(34407,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 5.04/5.22 inference(transitivity,[status(thm)],[34406, 34404])).
% 5.04/5.22 tff(34408,plain,
% 5.04/5.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 5.04/5.22 inference(quant_inst,[status(thm)],[])).
% 5.04/5.22 tff(34409,plain,
% 5.04/5.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 5.04/5.22 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 5.04/5.22 tff(34410,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34409, 338, 601, 1740, 3348, 21128, 2911, 175])).
% 5.04/5.22 tff(34411,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34412,plain,
% 5.04/5.22 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34411, 34403, 31803, 34375, 21538, 34399])).
% 5.04/5.22 tff(34413,plain,
% 5.04/5.22 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[639, 34412])).
% 5.04/5.22 tff(34414,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[28755, 34413, 70])).
% 5.04/5.22 tff(34415,plain,
% 5.04/5.22 (b(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[437, 34414])).
% 5.04/5.22 tff(34416,plain,
% 5.04/5.22 (~r(s(z), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[21739, 34415, 31803, 34399, 34401, 31740, 34375])).
% 5.04/5.22 tff(34417,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[2472, 34413, 71])).
% 5.04/5.22 tff(34418,plain,
% 5.04/5.22 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[689, 34417])).
% 5.04/5.22 tff(34419,plain,
% 5.04/5.22 (~b(s(z), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[20844, 34415, 31740, 34418, 21538])).
% 5.04/5.22 tff(34420,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[424, 34419, 34416])).
% 5.04/5.22 tff(34421,plain,((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34422,plain,
% 5.04/5.22 (~r(s(z), s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34421, 71])).
% 5.04/5.22 tff(34423,plain,
% 5.04/5.22 (b(s(z), s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[455, 34422])).
% 5.04/5.22 tff(34424,plain,
% 5.04/5.22 (~r(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[11562, 405, 108])).
% 5.04/5.22 tff(34425,plain,
% 5.04/5.22 (b(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[127, 34424])).
% 5.04/5.22 tff(34426,plain,
% 5.04/5.22 (~r(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[30536, 405, 164])).
% 5.04/5.22 tff(34427,plain,
% 5.04/5.22 (b(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[127, 34426])).
% 5.04/5.22 tff(34428,plain,
% 5.04/5.22 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1463, 14780, 71, 108, 457])).
% 5.04/5.22 tff(34429,plain,
% 5.04/5.22 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[1011, 34428])).
% 5.04/5.22 tff(34430,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 5.04/5.22 inference(rewrite,[status(thm)],[])).
% 5.04/5.22 tff(34431,plain,
% 5.04/5.22 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 5.04/5.22 inference(rewrite,[status(thm)],[])).
% 5.04/5.22 tff(34432,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34431])).
% 5.04/5.22 tff(34433,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 5.04/5.22 inference(transitivity,[status(thm)],[34432, 34430])).
% 5.04/5.22 tff(34434,plain,
% 5.04/5.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 5.04/5.22 inference(quant_inst,[status(thm)],[])).
% 5.04/5.22 tff(34435,plain,
% 5.04/5.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 5.04/5.22 inference(modus_ponens,[status(thm)],[34434, 34433])).
% 5.04/5.22 tff(34436,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34435, 338, 457, 14780, 29835, 34429, 31740, 34423])).
% 5.04/5.22 tff(34437,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34438,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34437, 544, 71, 108])).
% 5.04/5.22 tff(34439,plain,
% 5.04/5.22 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[689, 34438])).
% 5.04/5.22 tff(34440,plain,
% 5.04/5.22 (~b(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[22136, 34439, 71, 31740, 544])).
% 5.04/5.22 tff(34441,plain,
% 5.04/5.22 (r(s(s(s(z))), s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[437, 34440])).
% 5.04/5.22 tff(34442,plain,
% 5.04/5.22 (~b(s(s(s(z))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[26376, 34441, 31740, 34427, 164, 544])).
% 5.04/5.22 tff(34443,plain,
% 5.04/5.22 (~r(s(s(s(z))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[432, 34441, 405])).
% 5.04/5.22 tff(34444,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[135, 34443, 34442])).
% 5.04/5.22 tff(34445,plain,((~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34446,plain,
% 5.04/5.22 (~r(s(z), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34445, 164, 71, 108])).
% 5.04/5.22 tff(34447,plain,
% 5.04/5.22 (b(s(z), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[26, 34446])).
% 5.04/5.22 tff(34448,plain,
% 5.04/5.22 (~b(z, s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[28736, 1122, 71, 108, 1740])).
% 5.04/5.22 tff(34449,plain,
% 5.04/5.22 (~r(z, s(z))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[14739, 1122, 108])).
% 5.04/5.22 tff(34450,plain,
% 5.04/5.22 ($false),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[403, 34449, 34448])).
% 5.04/5.22 tff(34451,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.22 tff(34452,plain,
% 5.04/5.22 (~r(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34451, 34447, 71, 108])).
% 5.04/5.22 tff(34453,plain,
% 5.04/5.22 (b(s(s(s(s(z)))), z)),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[127, 34452])).
% 5.04/5.22 tff(34454,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 5.04/5.22 inference(rewrite,[status(thm)],[])).
% 5.04/5.22 tff(34455,plain,
% 5.04/5.22 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z))))) <=> ((~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 5.04/5.22 inference(rewrite,[status(thm)],[])).
% 5.04/5.22 tff(34456,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 5.04/5.22 inference(monotonicity,[status(thm)],[34455])).
% 5.04/5.22 tff(34457,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 5.04/5.22 inference(transitivity,[status(thm)],[34456, 34454])).
% 5.04/5.22 tff(34458,plain,
% 5.04/5.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(z)))))),
% 5.04/5.22 inference(quant_inst,[status(thm)],[])).
% 5.04/5.22 tff(34459,plain,
% 5.04/5.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 5.04/5.22 inference(modus_ponens,[status(thm)],[34458, 34457])).
% 5.04/5.22 tff(34460,plain,
% 5.04/5.22 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[34459, 338, 1740, 475, 458, 31740, 175])).
% 5.04/5.22 tff(34461,plain,
% 5.04/5.22 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[639, 34460])).
% 5.04/5.22 tff(34462,plain,
% 5.04/5.22 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[2472, 34461, 71])).
% 5.04/5.22 tff(34463,plain,
% 5.04/5.22 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[689, 34462])).
% 5.04/5.22 tff(34464,plain,
% 5.04/5.22 (~b(s(z), s(s(s(z))))),
% 5.04/5.22 inference(unit_resolution,[status(thm)],[22136, 34463, 71, 31740, 458])).
% 5.04/5.22 tff(34465,plain,
% 5.04/5.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 5.04/5.23 inference(rewrite,[status(thm)],[])).
% 5.04/5.23 tff(34466,plain,
% 5.04/5.23 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 5.04/5.23 inference(rewrite,[status(thm)],[])).
% 5.04/5.23 tff(34467,plain,
% 5.04/5.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34466])).
% 5.04/5.23 tff(34468,plain,
% 5.04/5.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 5.04/5.23 inference(transitivity,[status(thm)],[34467, 34465])).
% 5.04/5.23 tff(34469,plain,
% 5.04/5.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))))),
% 5.04/5.23 inference(quant_inst,[status(thm)],[])).
% 5.04/5.23 tff(34470,plain,
% 5.04/5.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 5.04/5.23 inference(modus_ponens,[status(thm)],[34469, 34468])).
% 5.04/5.23 tff(34471,plain,
% 5.04/5.23 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34470, 338, 1740, 475, 458, 31740, 175])).
% 5.04/5.23 tff(34472,plain,
% 5.04/5.23 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[534, 34471])).
% 5.04/5.23 tff(34473,plain,
% 5.04/5.23 (~b(z, s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[521, 34472, 475, 164, 34423])).
% 5.04/5.23 tff(34474,plain,
% 5.04/5.23 (r(z, s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[403, 34473])).
% 5.04/5.23 tff(34475,plain,
% 5.04/5.23 (~r(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[16605, 34474, 164])).
% 5.04/5.23 tff(34476,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[424, 34475, 34464])).
% 5.04/5.23 tff(34477,plain,((~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34478,plain,
% 5.04/5.23 (~b(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34477, 164, 71, 17690, 34447, 34453])).
% 5.04/5.23 tff(34479,plain,
% 5.04/5.23 (r(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[437, 34478])).
% 5.04/5.23 tff(34480,plain,
% 5.04/5.23 (~r(z, s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[2908, 34479, 108])).
% 5.04/5.23 tff(34481,plain,
% 5.04/5.23 (b(z, s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[403, 34480])).
% 5.04/5.23 tff(34482,plain,
% 5.04/5.23 (~r(z, s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[4062, 34481, 71, 31740, 34447])).
% 5.04/5.23 tff(34483,plain,
% 5.04/5.23 (~b(z, s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31369, 34481, 34423, 34447, 71, 34453])).
% 5.04/5.23 tff(34484,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[563, 34483, 34482])).
% 5.04/5.23 tff(34485,plain,((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34486,plain,
% 5.04/5.23 (~r(z, s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34485, 108, 71])).
% 5.04/5.23 tff(34487,plain,
% 5.04/5.23 (b(z, s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[149, 34486])).
% 5.04/5.23 tff(34488,plain,
% 5.04/5.23 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[10509, 3710, 3348, 34425, 25200])).
% 5.04/5.23 tff(34489,plain,
% 5.04/5.23 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1011, 34488])).
% 5.04/5.23 tff(34490,plain,
% 5.04/5.23 (~b(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[26366, 25200, 651, 108, 34425, 427])).
% 5.04/5.23 tff(34491,plain,
% 5.04/5.23 (r(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[424, 34490])).
% 5.04/5.23 tff(34492,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[3437, 34491, 34489, 108])).
% 5.04/5.23 tff(34493,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34494,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34493, 405, 31740, 34487, 108])).
% 5.04/5.23 tff(34495,plain,
% 5.04/5.23 (b(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[437, 34494])).
% 5.04/5.23 tff(34496,plain,
% 5.04/5.23 (~b(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34437, 911, 71, 108])).
% 5.04/5.23 tff(34497,plain,
% 5.04/5.23 (r(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[424, 34496])).
% 5.04/5.23 tff(34498,plain,
% 5.04/5.23 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[3437, 34497, 108])).
% 5.04/5.23 tff(34499,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1011, 34498])).
% 5.04/5.23 tff(34500,plain,
% 5.04/5.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 5.04/5.23 inference(rewrite,[status(thm)],[])).
% 5.04/5.23 tff(34501,plain,
% 5.04/5.23 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 5.04/5.23 inference(rewrite,[status(thm)],[])).
% 5.04/5.23 tff(34502,plain,
% 5.04/5.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34501])).
% 5.04/5.23 tff(34503,plain,
% 5.04/5.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))))),
% 5.04/5.23 inference(transitivity,[status(thm)],[34502, 34500])).
% 5.04/5.23 tff(34504,plain,
% 5.04/5.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 5.04/5.23 inference(quant_inst,[status(thm)],[])).
% 5.04/5.23 tff(34505,plain,
% 5.04/5.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z))))),
% 5.04/5.23 inference(modus_ponens,[status(thm)],[34504, 34503])).
% 5.04/5.23 tff(34506,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34505, 338, 34487, 458, 29835, 34499, 34423, 175])).
% 5.04/5.23 tff(34507,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34508,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34507, 34495, 34425, 108, 71])).
% 5.04/5.23 tff(34509,plain,
% 5.04/5.23 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[689, 34508])).
% 5.04/5.23 tff(34510,plain,
% 5.04/5.23 (~b(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[22136, 34509, 71, 31740, 34495])).
% 5.04/5.23 tff(34511,plain,
% 5.04/5.23 (r(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[424, 34510])).
% 5.04/5.23 tff(34512,plain,
% 5.04/5.23 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[3437, 34511, 108])).
% 5.04/5.23 tff(34513,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1011, 34512])).
% 5.04/5.23 tff(34514,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[24559, 338, 34487, 34495, 34513, 31740, 34509, 34425])).
% 5.04/5.23 tff(34515,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34516,plain,
% 5.04/5.23 (~r(s(z), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34515, 108, 71])).
% 5.04/5.23 tff(34517,plain,
% 5.04/5.23 (b(s(z), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[26, 34516])).
% 5.04/5.23 tff(34518,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[19317, 3710, 24858, 71, 34423, 34487, 34517, 108])).
% 5.04/5.23 tff(34519,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34520,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34519, 108, 71])).
% 5.04/5.23 tff(34521,plain,
% 5.04/5.23 (b(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[437, 34520])).
% 5.04/5.23 tff(34522,plain,
% 5.04/5.23 (~r(s(s(s(s(z)))), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34451, 34517, 71, 108])).
% 5.04/5.23 tff(34523,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[127, 34522])).
% 5.04/5.23 tff(34524,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34507, 34521, 34523, 108, 71])).
% 5.04/5.23 tff(34525,plain,
% 5.04/5.23 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[689, 34524])).
% 5.04/5.23 tff(34526,plain,
% 5.04/5.23 (~b(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[22136, 34525, 71, 31740, 34521])).
% 5.04/5.23 tff(34527,plain,
% 5.04/5.23 (~r(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[21699, 34525, 31740, 34487, 34517, 34523, 34521])).
% 5.04/5.23 tff(34528,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[424, 34527, 34526])).
% 5.04/5.23 tff(34529,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34530,plain,
% 5.04/5.23 (~r(s(s(s(s(z)))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34529, 71])).
% 5.04/5.23 tff(34531,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[119, 34530])).
% 5.04/5.23 tff(34532,plain,
% 5.04/5.23 (~r(s(z), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[30536, 150, 12174])).
% 5.04/5.23 tff(34533,plain,
% 5.04/5.23 (b(s(z), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[26, 34532])).
% 5.04/5.23 tff(34534,plain,
% 5.04/5.23 (~r(z, s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[28835, 150, 31740, 12174])).
% 5.04/5.23 tff(34535,plain,
% 5.04/5.23 (b(z, s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[403, 34534])).
% 5.04/5.23 tff(34536,plain,
% 5.04/5.23 (~b(z, s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[28746, 34535, 71, 34423, 12174, 34533])).
% 5.04/5.23 tff(34537,plain,
% 5.04/5.23 (r(z, s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[391, 34536])).
% 5.04/5.23 tff(34538,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[919, 34537, 150])).
% 5.04/5.23 tff(34539,plain,
% 5.04/5.23 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[689, 34538])).
% 5.04/5.23 tff(34540,plain,
% 5.04/5.23 (~b(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[26532, 34539, 31740, 34531, 32023])).
% 5.04/5.23 tff(34541,plain,
% 5.04/5.23 (r(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[424, 34540])).
% 5.04/5.23 tff(34542,plain,
% 5.04/5.23 (~r(z, s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[4062, 34535, 71, 31740, 34533])).
% 5.04/5.23 tff(34543,plain,
% 5.04/5.23 (b(z, s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[563, 34542])).
% 5.04/5.23 tff(34544,plain,
% 5.04/5.23 (~b(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[29802, 34543, 34423, 34531, 34533, 32023])).
% 5.04/5.23 tff(34545,plain,
% 5.04/5.23 (r(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[437, 34544])).
% 5.04/5.23 tff(34546,plain,
% 5.04/5.23 (~r(s(s(z)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[29102, 34545, 34423, 150, 34535])).
% 5.04/5.23 tff(34547,plain,
% 5.04/5.23 (b(s(s(z)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[534, 34546])).
% 5.04/5.23 tff(34548,plain,
% 5.04/5.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.23 inference(rewrite,[status(thm)],[])).
% 5.04/5.23 tff(34549,plain,
% 5.04/5.23 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.23 inference(rewrite,[status(thm)],[])).
% 5.04/5.23 tff(34550,plain,
% 5.04/5.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34549])).
% 5.04/5.23 tff(34551,plain,
% 5.04/5.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.23 inference(transitivity,[status(thm)],[34550, 34548])).
% 5.04/5.23 tff(34552,plain,
% 5.04/5.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 5.04/5.23 inference(quant_inst,[status(thm)],[])).
% 5.04/5.23 tff(34553,plain,
% 5.04/5.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 5.04/5.23 inference(modus_ponens,[status(thm)],[34552, 34551])).
% 5.04/5.23 tff(34554,plain,
% 5.04/5.23 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34553, 338, 34547, 34543, 34533, 32023, 34423])).
% 5.04/5.23 tff(34555,plain,
% 5.04/5.23 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31127, 34554])).
% 5.04/5.23 tff(34556,plain,
% 5.04/5.23 (~(z = elem!1)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31130, 34555])).
% 5.04/5.23 tff(34557,plain,
% 5.04/5.23 (~b(s(s(z)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[30815, 34535, 34423, 31819, 34533])).
% 5.04/5.23 tff(34558,plain,
% 5.04/5.23 (r(s(s(z)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[472, 34557])).
% 5.04/5.23 tff(34559,plain,
% 5.04/5.23 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z)))))),
% 5.04/5.23 inference(rewrite,[status(thm)],[])).
% 5.04/5.23 tff(34560,plain,
% 5.04/5.23 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z)))))),
% 5.04/5.23 inference(quant_inst,[status(thm)],[])).
% 5.04/5.23 tff(34561,plain,
% 5.04/5.23 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(z))))),
% 5.04/5.23 inference(modus_ponens,[status(thm)],[34560, 34559])).
% 5.04/5.23 tff(34562,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34561, 82, 34545, 34558])).
% 5.04/5.23 tff(34563,plain,
% 5.04/5.23 (b(s(s(s(z))), s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[639, 34562])).
% 5.04/5.23 tff(34564,plain,
% 5.04/5.23 (~b(s(s(s(z))), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31825, 34563, 34543, 31819, 34547])).
% 5.04/5.23 tff(34565,plain,
% 5.04/5.23 (r(s(s(s(z))), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[135, 34564])).
% 5.04/5.23 tff(34566,plain,
% 5.04/5.23 (~r(s(s(elem!1)), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31929, 34565, 34547, 34563, 138, 34531, 31740, 34539, 12174])).
% 5.04/5.23 tff(34567,plain,
% 5.04/5.23 (b(s(s(elem!1)), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[800, 34566])).
% 5.04/5.23 tff(34568,plain,
% 5.04/5.23 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[881, 34567, 34564])).
% 5.04/5.23 tff(34569,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34358, 34567, 34531, 138, 34533, 71, 12173, 34568, 34556])).
% 5.04/5.23 tff(34570,plain,
% 5.04/5.23 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31408, 34569, 32023, 34539])).
% 5.04/5.23 tff(34571,plain,
% 5.04/5.23 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1207, 34568])).
% 5.04/5.23 tff(34572,plain,
% 5.04/5.23 (r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[6881, 34571, 34570])).
% 5.04/5.23 tff(34573,plain,
% 5.04/5.23 (~b(s(s(elem!1)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31893, 34569, 34531, 31740])).
% 5.04/5.23 tff(34574,plain,
% 5.04/5.23 (r(s(s(elem!1)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[784, 34573])).
% 5.04/5.23 tff(34575,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[28843, 34574, 34572, 34541])).
% 5.04/5.23 tff(34576,plain,(b(z, s(s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34577,plain,
% 5.04/5.23 (b(z, s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34576, 12173, 71])).
% 5.04/5.23 tff(34578,plain,
% 5.04/5.23 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[3914, 32040, 71, 12174, 34577])).
% 5.04/5.23 tff(34579,plain,
% 5.04/5.23 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[534, 34578])).
% 5.04/5.23 tff(34580,plain,
% 5.04/5.23 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[5636, 32040, 71, 12174])).
% 5.04/5.23 tff(34581,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1011, 34580])).
% 5.04/5.23 tff(34582,plain,
% 5.04/5.23 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[29472, 34581, 71, 31819, 34577, 32040])).
% 5.04/5.23 tff(34583,plain,
% 5.04/5.23 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[639, 34582])).
% 5.04/5.23 tff(34584,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[2472, 34583, 71])).
% 5.04/5.23 tff(34585,plain,
% 5.04/5.23 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[689, 34584])).
% 5.04/5.23 tff(34586,plain,
% 5.04/5.23 (~b(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[26532, 539, 651, 2911, 987])).
% 5.04/5.23 tff(34587,plain,
% 5.04/5.23 (r(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[424, 34586])).
% 5.04/5.23 tff(34588,plain,
% 5.04/5.23 (~r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[28843, 786, 34587])).
% 5.04/5.23 tff(34589,plain,
% 5.04/5.23 (~r(s(s(elem!1)), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31780, 405, 2911, 651])).
% 5.04/5.23 tff(34590,plain,
% 5.04/5.23 (b(s(s(elem!1)), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[800, 34589])).
% 5.04/5.23 tff(34591,plain,
% 5.04/5.23 (~b(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[5782, 539, 2911, 987, 651])).
% 5.04/5.23 tff(34592,plain,
% 5.04/5.23 (r(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[437, 34591])).
% 5.04/5.23 tff(34593,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[14054, 786, 34592])).
% 5.04/5.23 tff(34594,plain,
% 5.04/5.23 (s(s(s(z))) = s(s(elem!1))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[22431, 31953, 1741, 878, 6752, 6878])).
% 5.04/5.23 tff(34595,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34594])).
% 5.04/5.23 tff(34596,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(symmetry,[status(thm)],[34595])).
% 5.04/5.23 tff(34597,plain,
% 5.04/5.23 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34596])).
% 5.04/5.23 tff(34598,plain,
% 5.04/5.23 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(modus_ponens,[status(thm)],[1267, 34597])).
% 5.04/5.23 tff(34599,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[987, 34598])).
% 5.04/5.23 tff(34600,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(elem!1)), z)) | r(s(s(s(z))), s(s(elem!1))) | r(s(s(elem!1)), s(s(s(z)))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34601,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34600, 34593, 32040, 34590, 987, 34588, 12173])).
% 5.04/5.23 tff(34602,plain,
% 5.04/5.23 (~b(s(z), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31831, 34601, 651, 2911])).
% 5.04/5.23 tff(34603,plain,
% 5.04/5.23 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31408, 34601, 987, 539])).
% 5.04/5.23 tff(34604,plain,
% 5.04/5.23 (s(s(elem!1)) = s(s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[6881, 34603, 34588])).
% 5.04/5.23 tff(34605,plain,
% 5.04/5.23 (s(s(s(z))) = s(s(elem!1))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1207, 34604])).
% 5.04/5.23 tff(34606,plain,
% 5.04/5.23 (~(s(s(s(elem!1))) = s(elem!1))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1428, 34605])).
% 5.04/5.23 tff(34607,plain,
% 5.04/5.23 (~(elem!1 = s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1418, 34606])).
% 5.04/5.23 tff(34608,plain,
% 5.04/5.23 (inj_0(s(s(elem!1))) = inj_0(s(s(s(z))))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34604])).
% 5.04/5.23 tff(34609,plain,
% 5.04/5.23 (s(elem!1) = s(s(z))),
% 5.04/5.23 inference(transitivity,[status(thm)],[182, 34608, 52])).
% 5.04/5.23 tff(34610,plain,
% 5.04/5.23 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(s(z))), s(s(z)))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34604, 34609])).
% 5.04/5.23 tff(34611,plain,
% 5.04/5.23 (r(s(s(s(z))), s(s(z))) <=> r(s(s(elem!1)), s(elem!1))),
% 5.04/5.23 inference(symmetry,[status(thm)],[34610])).
% 5.04/5.23 tff(34612,plain,
% 5.04/5.23 (r(s(s(elem!1)), s(elem!1))),
% 5.04/5.23 inference(modus_ponens,[status(thm)],[2464, 34611])).
% 5.04/5.23 tff(34613,plain,
% 5.04/5.23 (r(s(z), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[743, 34602])).
% 5.04/5.23 tff(34614,plain,
% 5.04/5.23 (~r(z, s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[729, 34613, 405])).
% 5.04/5.23 tff(34615,plain,
% 5.04/5.23 (b(z, s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[161, 34614])).
% 5.04/5.23 tff(34616,plain,
% 5.04/5.23 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(z))), elem!1)),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34604])).
% 5.04/5.23 tff(34617,plain,
% 5.04/5.23 (r(s(s(s(z))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 5.04/5.23 inference(symmetry,[status(thm)],[34616])).
% 5.04/5.23 tff(34618,plain,
% 5.04/5.23 (s(z) = elem!1),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1237, 34605])).
% 5.04/5.23 tff(34619,plain,
% 5.04/5.23 (r(s(s(s(z))), s(z)) <=> r(s(s(s(z))), elem!1)),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34618])).
% 5.04/5.23 tff(34620,plain,
% 5.04/5.23 (r(s(s(s(z))), s(z)) <=> r(s(s(elem!1)), elem!1)),
% 5.04/5.23 inference(transitivity,[status(thm)],[34619, 34617])).
% 5.04/5.23 tff(34621,plain,
% 5.04/5.23 (r(s(s(elem!1)), elem!1)),
% 5.04/5.23 inference(modus_ponens,[status(thm)],[34592, 34620])).
% 5.04/5.23 tff(34622,plain,
% 5.04/5.23 (b(s(s(s(elem!1))), s(s(elem!1))) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34604])).
% 5.04/5.23 tff(34623,plain,
% 5.04/5.23 (b(s(s(s(elem!1))), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.23 inference(symmetry,[status(thm)],[34622])).
% 5.04/5.23 tff(34624,plain,
% 5.04/5.23 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34604])).
% 5.04/5.23 tff(34625,plain,
% 5.04/5.23 (b(s(s(s(elem!1))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(monotonicity,[status(thm)],[34624])).
% 5.04/5.23 tff(34626,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(s(z))))),
% 5.04/5.23 inference(symmetry,[status(thm)],[34625])).
% 5.04/5.23 tff(34627,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.23 inference(transitivity,[status(thm)],[34626, 34623])).
% 5.04/5.23 tff(34628,plain,
% 5.04/5.23 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.23 inference(modus_ponens,[status(thm)],[987, 34627])).
% 5.04/5.23 tff(34629,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[33418, 34628, 34621, 3348, 405, 34615, 34612, 34607, 34602, 12173])).
% 5.04/5.23 tff(34630,plain,((~r(s(s(elem!1)), s(z))) | (~b(z, s(s(s(z))))) | (~r(s(z), z)) | b(s(s(s(s(z)))), z) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34631,plain,
% 5.04/5.23 (~r(s(s(elem!1)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34630, 405, 34577, 12173, 34581, 34583, 31740, 34531, 34585])).
% 5.04/5.23 tff(34632,plain,
% 5.04/5.23 (b(s(s(elem!1)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[784, 34631])).
% 5.04/5.23 tff(34633,plain,
% 5.04/5.23 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31893, 34632, 34531, 31740])).
% 5.04/5.23 tff(34634,plain,
% 5.04/5.23 (~r(s(s(elem!1)), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31780, 405, 34531, 31740])).
% 5.04/5.23 tff(34635,plain,
% 5.04/5.23 (b(s(s(elem!1)), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[800, 34634])).
% 5.04/5.23 tff(34636,plain,
% 5.04/5.23 (~b(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[5782, 34585, 34531, 34581, 31740])).
% 5.04/5.23 tff(34637,plain,
% 5.04/5.23 (r(s(s(s(z))), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[437, 34636])).
% 5.04/5.23 tff(34638,plain,
% 5.04/5.23 (~b(s(z), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31778, 34632, 31740, 34531])).
% 5.04/5.23 tff(34639,plain,
% 5.04/5.23 (r(s(z), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[743, 34638])).
% 5.04/5.23 tff(34640,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[19136, 34639, 34637])).
% 5.04/5.23 tff(34641,plain,
% 5.04/5.23 (r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34600, 34640, 32040, 34635, 34581, 34633, 12173])).
% 5.04/5.23 tff(34642,plain,
% 5.04/5.23 (~b(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[26532, 34585, 31740, 34531, 34581])).
% 5.04/5.23 tff(34643,plain,
% 5.04/5.23 (r(s(z), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[424, 34642])).
% 5.04/5.23 tff(34644,plain,
% 5.04/5.23 (~r(s(s(z)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[3882, 82, 34579, 34643])).
% 5.04/5.23 tff(34645,plain,
% 5.04/5.23 (b(s(s(z)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[472, 34644])).
% 5.04/5.23 tff(34646,plain,
% 5.04/5.23 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[29496, 34645, 31740, 34423, 34531])).
% 5.04/5.23 tff(34647,plain,
% 5.04/5.23 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31127, 34646])).
% 5.04/5.23 tff(34648,plain,
% 5.04/5.23 (~(z = elem!1)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31130, 34647])).
% 5.04/5.23 tff(34649,plain,
% 5.04/5.23 (~(s(elem!1) = s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1912, 34648])).
% 5.04/5.23 tff(34650,plain,
% 5.04/5.23 (~(s(s(elem!1)) = s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[10916, 34649])).
% 5.04/5.23 tff(34651,plain,
% 5.04/5.23 (b(z, s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[19314, 34585, 71, 34577, 34581])).
% 5.04/5.23 tff(34652,plain,
% 5.04/5.23 (~r(z, s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[12195, 34633, 12173, 34635])).
% 5.04/5.23 tff(34653,plain,
% 5.04/5.23 (b(z, s(s(elem!1)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[161, 34652])).
% 5.04/5.23 tff(34654,plain,
% 5.04/5.23 (~b(s(s(elem!1)), s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[22104, 34653, 31819, 34651, 34635])).
% 5.04/5.23 tff(34655,plain,
% 5.04/5.23 (r(s(s(elem!1)), s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[22190, 34654, 34650])).
% 5.04/5.23 tff(34656,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[17012, 34655, 34641, 34579])).
% 5.04/5.23 tff(34657,plain,((~r(s(z), z)) | b(s(s(s(s(z)))), z) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34658,plain,
% 5.04/5.23 (~r(s(z), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34657, 12173, 71])).
% 5.04/5.23 tff(34659,plain,
% 5.04/5.23 (b(s(z), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[26, 34658])).
% 5.04/5.23 tff(34660,plain,
% 5.04/5.23 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[28102, 911, 71, 1122])).
% 5.04/5.23 tff(34661,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1011, 34660])).
% 5.04/5.23 tff(34662,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[29472, 34661, 29835, 71, 31347, 3348, 14782])).
% 5.04/5.23 tff(34663,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34664,plain,
% 5.04/5.23 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34663, 34577, 71, 12174])).
% 5.04/5.23 tff(34665,plain,
% 5.04/5.23 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[689, 34664])).
% 5.04/5.23 tff(34666,plain,
% 5.04/5.23 (~b(s(s(s(z))), z)),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[5636, 1038, 71, 1122])).
% 5.04/5.23 tff(34667,plain,
% 5.04/5.23 ($false),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[135, 10724, 34666])).
% 5.04/5.23 tff(34668,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.23 tff(34669,plain,
% 5.04/5.23 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[34668, 12174, 71])).
% 5.04/5.23 tff(34670,plain,
% 5.04/5.23 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[1011, 34669])).
% 5.04/5.23 tff(34671,plain,
% 5.04/5.23 (b(z, s(s(z)))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[19314, 34670, 71, 34577, 34665])).
% 5.04/5.23 tff(34672,plain,
% 5.04/5.23 (~b(s(s(z)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[18871, 338, 34671, 34659, 31819, 34423])).
% 5.04/5.23 tff(34673,plain,
% 5.04/5.23 (r(s(s(z)), s(z))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[472, 34672])).
% 5.04/5.23 tff(34674,plain,
% 5.04/5.23 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[31684, 338, 1740, 458, 31347, 34423, 34531])).
% 5.04/5.23 tff(34675,plain,
% 5.04/5.23 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.23 inference(unit_resolution,[status(thm)],[689, 34674])).
% 5.04/5.24 tff(34676,plain,
% 5.04/5.24 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31676, 338, 1740, 458, 31347, 34423, 34531])).
% 5.04/5.24 tff(34677,plain,
% 5.04/5.24 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1011, 34676])).
% 5.04/5.24 tff(34678,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[28102, 34677, 34675, 71, 1122])).
% 5.04/5.24 tff(34679,plain,((~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34680,plain,
% 5.04/5.24 (~b(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34679, 12174, 71, 34659])).
% 5.04/5.24 tff(34681,plain,
% 5.04/5.24 (r(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[437, 34680])).
% 5.04/5.24 tff(34682,plain,
% 5.04/5.24 (~b(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[28528, 338, 34671, 34659, 31819, 34423])).
% 5.04/5.24 tff(34683,plain,
% 5.04/5.24 (r(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[403, 34682])).
% 5.04/5.24 tff(34684,plain,
% 5.04/5.24 (~r(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[19094, 34683, 34681])).
% 5.04/5.24 tff(34685,plain,
% 5.04/5.24 (b(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[135, 34684])).
% 5.04/5.24 tff(34686,plain,
% 5.04/5.24 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[3914, 34685, 71, 12174, 34577])).
% 5.04/5.24 tff(34687,plain,
% 5.04/5.24 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[534, 34686])).
% 5.04/5.24 tff(34688,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[2929, 82, 34687, 34681, 34673])).
% 5.04/5.24 tff(34689,plain,(b(s(s(s(s(z)))), z) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34690,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34689, 71])).
% 5.04/5.24 tff(34691,plain,
% 5.04/5.24 (~b(s(z), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[11153, 555, 651, 2911, 175])).
% 5.04/5.24 tff(34692,plain,
% 5.04/5.24 (r(s(z), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[26, 34691])).
% 5.04/5.24 tff(34693,plain,
% 5.04/5.24 (~r(s(s(elem!1)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31780, 34692, 2911, 651])).
% 5.04/5.24 tff(34694,plain,
% 5.04/5.24 (~b(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[6869, 555, 651, 2911, 175])).
% 5.04/5.24 tff(34695,plain,
% 5.04/5.24 (r(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[403, 34694])).
% 5.04/5.24 tff(34696,plain,
% 5.04/5.24 (~b(s(s(elem!1)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31798, 34695, 2911, 651, 175, 555])).
% 5.04/5.24 tff(34697,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[800, 34696, 34693])).
% 5.04/5.24 tff(34698,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34699,plain,
% 5.04/5.24 (~b(z, s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34698, 34531, 31740, 34690])).
% 5.04/5.24 tff(34700,plain,
% 5.04/5.24 (r(z, s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[391, 34699])).
% 5.04/5.24 tff(34701,plain,
% 5.04/5.24 (~r(z, s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[22491, 34700, 71])).
% 5.04/5.24 tff(34702,plain,
% 5.04/5.24 (b(z, s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[563, 34701])).
% 5.04/5.24 tff(34703,plain,
% 5.04/5.24 (~b(z, s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34698, 2911, 651, 175])).
% 5.04/5.24 tff(34704,plain,
% 5.04/5.24 (r(z, s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[391, 34703])).
% 5.04/5.24 tff(34705,plain,
% 5.04/5.24 (~r(s(z), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31773, 164, 2911, 651, 34704])).
% 5.04/5.24 tff(34706,plain,
% 5.04/5.24 (b(s(z), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[26, 34705])).
% 5.04/5.24 tff(34707,plain,
% 5.04/5.24 (~b(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[3204, 34706, 651, 2911, 175])).
% 5.04/5.24 tff(34708,plain,
% 5.04/5.24 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1119, 164, 34704])).
% 5.04/5.24 tff(34709,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1011, 34708])).
% 5.04/5.24 tff(34710,plain,
% 5.04/5.24 (~r(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[29808, 34709, 474, 2911, 164, 34706])).
% 5.04/5.24 tff(34711,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[403, 34710, 34707])).
% 5.04/5.24 tff(34712,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34713,plain,
% 5.04/5.24 (~r(z, s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34712, 34423, 34531, 31740, 34690])).
% 5.04/5.24 tff(34714,plain,
% 5.04/5.24 (b(z, s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[149, 34713])).
% 5.04/5.24 tff(34715,plain,
% 5.04/5.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 5.04/5.24 inference(rewrite,[status(thm)],[])).
% 5.04/5.24 tff(34716,plain,
% 5.04/5.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 5.04/5.24 inference(quant_inst,[status(thm)],[])).
% 5.04/5.24 tff(34717,plain,
% 5.04/5.24 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[34716, 34715])).
% 5.04/5.24 tff(34718,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34717, 82, 1038, 71, 2464])).
% 5.04/5.24 tff(34719,plain,((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34720,plain,
% 5.04/5.24 (~r(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34719, 1038, 71])).
% 5.04/5.24 tff(34721,plain,
% 5.04/5.24 (b(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[639, 34720])).
% 5.04/5.24 tff(34722,plain,
% 5.04/5.24 (~b(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[25830, 34721, 34714, 24689, 34702])).
% 5.04/5.24 tff(34723,plain,
% 5.04/5.24 (r(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[135, 34722])).
% 5.04/5.24 tff(34724,plain,
% 5.04/5.24 (~r(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[432, 34723, 405])).
% 5.04/5.24 tff(34725,plain,
% 5.04/5.24 (b(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[437, 34724])).
% 5.04/5.24 tff(34726,plain,
% 5.04/5.24 (~b(s(s(z)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31749, 34721, 24689, 34714, 34702])).
% 5.04/5.24 tff(34727,plain,
% 5.04/5.24 (r(s(s(z)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[956, 34726])).
% 5.04/5.24 tff(34728,plain,
% 5.04/5.24 (~r(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[30420, 34727, 405])).
% 5.04/5.24 tff(34729,plain,
% 5.04/5.24 (b(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[472, 34728])).
% 5.04/5.24 tff(34730,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[21737, 338, 24689, 34729, 34725, 34721, 34423])).
% 5.04/5.24 tff(34731,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34732,plain,
% 5.04/5.24 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34731, 405, 71])).
% 5.04/5.24 tff(34733,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1011, 34732])).
% 5.04/5.24 tff(34734,plain,
% 5.04/5.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.04/5.24 inference(rewrite,[status(thm)],[])).
% 5.04/5.24 tff(34735,plain,
% 5.04/5.24 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.04/5.24 inference(rewrite,[status(thm)],[])).
% 5.04/5.24 tff(34736,plain,
% 5.04/5.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34735])).
% 5.04/5.24 tff(34737,plain,
% 5.04/5.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.04/5.24 inference(transitivity,[status(thm)],[34736, 34734])).
% 5.04/5.24 tff(34738,plain,
% 5.04/5.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.24 inference(quant_inst,[status(thm)],[])).
% 5.04/5.24 tff(34739,plain,
% 5.04/5.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[34738, 34737])).
% 5.04/5.24 tff(34740,plain,
% 5.04/5.24 (~b(s(s(elem!1)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34739, 338, 34714, 987, 31740, 34690, 30991])).
% 5.04/5.24 tff(34741,plain,
% 5.04/5.24 (r(s(s(elem!1)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[784, 34740])).
% 5.04/5.24 tff(34742,plain,
% 5.04/5.24 (~b(s(z), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[5079, 458, 31740, 34531, 987])).
% 5.04/5.24 tff(34743,plain,
% 5.04/5.24 (r(s(z), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[424, 34742])).
% 5.04/5.24 tff(34744,plain,
% 5.04/5.24 (~r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[28843, 34743, 34741])).
% 5.04/5.24 tff(34745,plain,
% 5.04/5.24 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[5782, 458, 34531, 987, 31740])).
% 5.04/5.24 tff(34746,plain,
% 5.04/5.24 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[689, 34745])).
% 5.04/5.24 tff(34747,plain,
% 5.04/5.24 (~r(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[2472, 34746, 71])).
% 5.04/5.24 tff(34748,plain,
% 5.04/5.24 (b(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[639, 34747])).
% 5.04/5.24 tff(34749,plain,
% 5.04/5.24 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31175, 34748, 34423, 987, 458])).
% 5.04/5.24 tff(34750,plain,
% 5.04/5.24 (~b(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[28212, 34746, 71, 31740, 34531, 34690, 34714, 458, 34700])).
% 5.04/5.24 tff(34751,plain,
% 5.04/5.24 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[881, 34750, 878])).
% 5.04/5.24 tff(34752,plain,
% 5.04/5.24 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1207, 34751])).
% 5.04/5.24 tff(34753,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[6881, 34752, 34749, 34744])).
% 5.04/5.24 tff(34754,plain,((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34755,plain,
% 5.04/5.24 (~b(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34754, 34733, 34635, 71])).
% 5.04/5.24 tff(34756,plain,
% 5.04/5.24 (r(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[437, 34755])).
% 5.04/5.24 tff(34757,plain,
% 5.04/5.24 (~r(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[432, 34756, 405])).
% 5.04/5.24 tff(34758,plain,
% 5.04/5.24 (b(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[135, 34757])).
% 5.04/5.24 tff(34759,plain,
% 5.04/5.24 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[10509, 34758, 34690, 34714, 34733])).
% 5.04/5.24 tff(34760,plain,
% 5.04/5.24 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[689, 34759])).
% 5.04/5.24 tff(34761,plain,
% 5.04/5.24 (~r(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[2472, 34760, 71])).
% 5.04/5.24 tff(34762,plain,
% 5.04/5.24 (b(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[639, 34761])).
% 5.04/5.24 tff(34763,plain,
% 5.04/5.24 (~b(s(s(z)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[30345, 34762, 34758, 34714, 34702])).
% 5.04/5.24 tff(34764,plain,
% 5.04/5.24 (r(s(s(z)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[956, 34763])).
% 5.04/5.24 tff(34765,plain,
% 5.04/5.24 (~r(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[30420, 34764, 405])).
% 5.04/5.24 tff(34766,plain,
% 5.04/5.24 (b(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[472, 34765])).
% 5.04/5.24 tff(34767,plain,
% 5.04/5.24 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[29496, 34766, 31740, 34423, 34531])).
% 5.04/5.24 tff(34768,plain,
% 5.04/5.24 (r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31474, 34767])).
% 5.04/5.24 tff(34769,plain,
% 5.04/5.24 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[25830, 34762, 34714, 34758, 34702])).
% 5.04/5.24 tff(34770,plain,
% 5.04/5.24 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[534, 34769])).
% 5.04/5.24 tff(34771,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[28473, 82, 34770, 34760, 34768])).
% 5.04/5.24 tff(34772,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34773,plain,
% 5.04/5.24 (~r(s(z), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34772, 71])).
% 5.04/5.24 tff(34774,plain,
% 5.04/5.24 (b(s(z), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[26, 34773])).
% 5.04/5.24 tff(34775,plain,
% 5.04/5.24 (~b(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[3204, 34774, 31740, 34531, 34690])).
% 5.04/5.24 tff(34776,plain,
% 5.04/5.24 (r(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[403, 34775])).
% 5.04/5.24 tff(34777,plain,
% 5.04/5.24 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34411, 34774, 34690, 34702, 34531, 34714])).
% 5.04/5.24 tff(34778,plain,
% 5.04/5.24 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[639, 34777])).
% 5.04/5.24 tff(34779,plain,
% 5.04/5.24 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34719, 34778, 71])).
% 5.04/5.24 tff(34780,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1011, 34779])).
% 5.04/5.24 tff(34781,plain,
% 5.04/5.24 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[2472, 34778, 71])).
% 5.04/5.24 tff(34782,plain,
% 5.04/5.24 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[689, 34781])).
% 5.04/5.24 tff(34783,plain,
% 5.04/5.24 (~b(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[10509, 34782, 34690, 34714, 34780])).
% 5.04/5.24 tff(34784,plain,
% 5.04/5.24 (r(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[135, 34783])).
% 5.04/5.24 tff(34785,plain,
% 5.04/5.24 (~b(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[5782, 34782, 34531, 34780, 31740])).
% 5.04/5.24 tff(34786,plain,
% 5.04/5.24 (r(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[437, 34785])).
% 5.04/5.24 tff(34787,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[19094, 34786, 34784, 34776])).
% 5.04/5.24 tff(34788,plain,(~r(s(s(s(s(z)))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34789,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[68, 34788])).
% 5.04/5.24 tff(34790,plain,
% 5.04/5.24 (~b(s(z), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[30432, 27, 34789, 10725, 1038, 1122])).
% 5.04/5.24 tff(34791,plain,
% 5.04/5.24 (r(s(z), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[455, 34790])).
% 5.04/5.24 tff(34792,plain,
% 5.04/5.24 (~r(z, s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[619, 34791, 27])).
% 5.04/5.24 tff(34793,plain,
% 5.04/5.24 (b(z, s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[563, 34792])).
% 5.04/5.24 tff(34794,plain,
% 5.04/5.24 (~r(s(z), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[30536, 150, 1122])).
% 5.04/5.24 tff(34795,plain,
% 5.04/5.24 (b(s(z), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[26, 34794])).
% 5.04/5.24 tff(34796,plain,
% 5.04/5.24 (~r(s(s(z)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[30679, 575, 1122])).
% 5.04/5.24 tff(34797,plain,
% 5.04/5.24 (b(s(s(z)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[956, 34796])).
% 5.04/5.24 tff(34798,plain,
% 5.04/5.24 (~r(s(z), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[28674, 575, 72])).
% 5.04/5.24 tff(34799,plain,
% 5.04/5.24 (b(s(z), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[455, 34798])).
% 5.04/5.24 tff(34800,plain,
% 5.04/5.24 (~b(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[30815, 34799, 486, 34797, 1740])).
% 5.04/5.24 tff(34801,plain,
% 5.04/5.24 (r(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[472, 34800])).
% 5.04/5.24 tff(34802,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[581, 82, 72, 34801, 575])).
% 5.04/5.24 tff(34803,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34804,plain,
% 5.04/5.24 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34803, 16215, 72, 30574, 1122])).
% 5.04/5.24 tff(34805,plain,
% 5.04/5.24 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31474, 34804])).
% 5.04/5.24 tff(34806,plain,
% 5.04/5.24 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[13638, 34805, 34789, 12514, 539])).
% 5.04/5.24 tff(34807,plain,
% 5.04/5.24 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[534, 34806])).
% 5.04/5.24 tff(34808,plain,
% 5.04/5.24 (~r(s(z), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[18536, 34807, 164, 16215])).
% 5.04/5.24 tff(34809,plain,
% 5.04/5.24 (b(s(z), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[424, 34808])).
% 5.04/5.24 tff(34810,plain,
% 5.04/5.24 (~r(z, s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[558, 34807, 164])).
% 5.04/5.24 tff(34811,plain,
% 5.04/5.24 (b(z, s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[563, 34810])).
% 5.04/5.24 tff(34812,plain,
% 5.04/5.24 (~b(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31948, 29073, 16215, 1740, 564])).
% 5.04/5.24 tff(34813,plain,
% 5.04/5.24 (r(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[472, 34812])).
% 5.04/5.24 tff(34814,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[2929, 82, 487, 427, 34813])).
% 5.04/5.24 tff(34815,plain,((~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34816,plain,
% 5.04/5.24 (~r(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34815, 34807, 30574, 427, 164])).
% 5.04/5.24 tff(34817,plain,
% 5.04/5.24 (b(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[135, 34816])).
% 5.04/5.24 tff(34818,plain,
% 5.04/5.24 (~b(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[26163, 34817, 30574, 16215, 34811, 34809])).
% 5.04/5.24 tff(34819,plain,
% 5.04/5.24 (r(s(s(z)), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[472, 34818])).
% 5.04/5.24 tff(34820,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[2929, 82, 34807, 427, 34819])).
% 5.04/5.24 tff(34821,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34822,plain,
% 5.04/5.24 (~r(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34821, 539, 150, 72, 1122])).
% 5.04/5.24 tff(34823,plain,
% 5.04/5.24 (b(s(s(s(z))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[437, 34822])).
% 5.04/5.24 tff(34824,plain,
% 5.04/5.24 (~r(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[29146, 34823, 1122, 28811, 539])).
% 5.04/5.24 tff(34825,plain,
% 5.04/5.24 (b(z, s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[403, 34824])).
% 5.04/5.24 tff(34826,plain,
% 5.04/5.24 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34803, 34825, 72, 34795, 1122])).
% 5.04/5.24 tff(34827,plain,
% 5.04/5.24 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31474, 34826])).
% 5.04/5.24 tff(34828,plain,
% 5.04/5.24 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[13638, 34827, 34789, 28811, 539])).
% 5.04/5.24 tff(34829,plain,
% 5.04/5.24 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[534, 34828])).
% 5.04/5.24 tff(34830,plain,
% 5.04/5.24 (~r(s(z), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[18536, 34829, 150, 34825])).
% 5.04/5.24 tff(34831,plain,
% 5.04/5.24 (b(s(z), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[424, 34830])).
% 5.04/5.24 tff(34832,plain,
% 5.04/5.24 (~b(s(s(s(s(z)))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[21016, 34831, 539, 28811, 34823])).
% 5.04/5.24 tff(34833,plain,
% 5.04/5.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.24 inference(rewrite,[status(thm)],[])).
% 5.04/5.24 tff(34834,plain,
% 5.04/5.24 (((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z))))) <=> ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.24 inference(rewrite,[status(thm)],[])).
% 5.04/5.24 tff(34835,plain,
% 5.04/5.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34834])).
% 5.04/5.24 tff(34836,plain,
% 5.04/5.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.24 inference(transitivity,[status(thm)],[34835, 34833])).
% 5.04/5.24 tff(34837,plain,
% 5.04/5.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))))),
% 5.04/5.24 inference(quant_inst,[status(thm)],[])).
% 5.04/5.24 tff(34838,plain,
% 5.04/5.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[34837, 34836])).
% 5.04/5.24 tff(34839,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34838, 338, 21128, 987, 539, 34789, 600])).
% 5.04/5.24 tff(34840,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34841,plain,
% 5.04/5.24 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34840, 539, 28811, 34827])).
% 5.04/5.24 tff(34842,plain,
% 5.04/5.24 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[639, 34841])).
% 5.04/5.24 tff(34843,plain,
% 5.04/5.24 (elem!1 = s(z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[752, 31491])).
% 5.04/5.24 tff(34844,plain,
% 5.04/5.24 (~r(z, elem!1)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[899, 34843, 393])).
% 5.04/5.24 tff(34845,plain,
% 5.04/5.24 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(s(z))))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[1204])).
% 5.04/5.24 tff(34846,plain,
% 5.04/5.24 (r(s(s(s(elem!1))), s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.24 inference(symmetry,[status(thm)],[34845])).
% 5.04/5.24 tff(34847,plain,
% 5.04/5.24 (r(s(s(s(elem!1))), s(s(s(z)))) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[31479])).
% 5.04/5.24 tff(34848,plain,
% 5.04/5.24 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(s(z))))),
% 5.04/5.24 inference(symmetry,[status(thm)],[34847])).
% 5.04/5.24 tff(34849,plain,
% 5.04/5.24 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.24 inference(transitivity,[status(thm)],[34848, 34846])).
% 5.04/5.24 tff(34850,plain,
% 5.04/5.24 ((~r(s(s(s(s(z)))), s(s(s(z))))) <=> (~r(s(s(s(elem!1))), s(s(elem!1))))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34849])).
% 5.04/5.24 tff(34851,assumption,(~r(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 5.04/5.24 tff(34852,plain,
% 5.04/5.24 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[34851, 34850])).
% 5.04/5.24 tff(34853,plain,
% 5.04/5.24 (~b(z, s(s(elem!1)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[16893, 1204, 138])).
% 5.04/5.24 tff(34854,plain,
% 5.04/5.24 (s(elem!1) = s(s(z))),
% 5.04/5.24 inference(transitivity,[status(thm)],[182, 31485, 52])).
% 5.04/5.24 tff(34855,plain,
% 5.04/5.24 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(s(z))), s(s(z)))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[1204, 34854])).
% 5.04/5.24 tff(34856,plain,
% 5.04/5.24 (r(s(s(s(z))), s(s(z))) <=> r(s(s(elem!1)), s(elem!1))),
% 5.04/5.24 inference(symmetry,[status(thm)],[34855])).
% 5.04/5.24 tff(34857,plain,
% 5.04/5.24 (r(s(s(elem!1)), s(elem!1))),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[2464, 34856])).
% 5.04/5.24 tff(34858,plain,
% 5.04/5.24 (b(s(s(s(elem!1))), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 5.04/5.24 inference(monotonicity,[status(thm)],[31479])).
% 5.04/5.24 tff(34859,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(elem!1))), elem!1)),
% 5.04/5.24 inference(symmetry,[status(thm)],[34858])).
% 5.04/5.24 tff(34860,plain,
% 5.04/5.24 ((~b(s(s(s(s(z)))), elem!1)) <=> (~b(s(s(s(elem!1))), elem!1))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34859])).
% 5.04/5.24 tff(34861,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 5.04/5.24 inference(monotonicity,[status(thm)],[31491])).
% 5.04/5.24 tff(34862,plain,
% 5.04/5.24 ((~b(s(s(s(s(z)))), s(z))) <=> (~b(s(s(s(s(z)))), elem!1))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34861])).
% 5.04/5.24 tff(34863,plain,
% 5.04/5.24 (~b(s(s(s(s(z)))), elem!1)),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[14736, 34862])).
% 5.04/5.24 tff(34864,plain,
% 5.04/5.24 (~b(s(s(s(elem!1))), elem!1)),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[34863, 34860])).
% 5.04/5.24 tff(34865,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[23106, 34864, 34857, 34853, 34852, 34844])).
% 5.04/5.24 tff(34866,plain,((~(s(s(elem!1)) = s(s(s(z))))) | r(s(s(s(s(z)))), s(s(s(z)))) | (~r(s(s(s(z))), s(s(z)))) | b(s(s(s(s(z)))), s(z)) | r(z, s(z)) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34867,plain,
% 5.04/5.24 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34866, 34842, 28810, 34832, 34824, 138])).
% 5.04/5.24 tff(34868,plain,
% 5.04/5.24 (r(s(s(s(s(z)))), s(z))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[119, 34832])).
% 5.04/5.24 tff(34869,plain,
% 5.04/5.24 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[34867, 28813])).
% 5.04/5.24 tff(34870,plain,
% 5.04/5.24 (~b(s(s(elem!1)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[6963, 31398, 1740, 486, 31400])).
% 5.04/5.24 tff(34871,plain,
% 5.04/5.24 (~b(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1749, 457, 1740, 458, 486])).
% 5.04/5.24 tff(34872,plain,
% 5.04/5.24 (r(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[135, 34871])).
% 5.04/5.24 tff(34873,plain,
% 5.04/5.24 (~r(s(s(elem!1)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1230, 31400, 34872, 871, 458, 457])).
% 5.04/5.24 tff(34874,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[800, 34873, 34870])).
% 5.04/5.24 tff(34875,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (s(s(s(z))) = s(s(elem!1))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34876,plain,
% 5.04/5.24 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34875, 34869, 34823, 34831, 34795, 34825, 34868])).
% 5.04/5.24 tff(34877,plain,
% 5.04/5.24 (s(s(s(s(z)))) = s(s(elem!1))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[10478, 1267, 10476])).
% 5.04/5.24 tff(34878,plain,
% 5.04/5.24 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(elem!1)))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34877])).
% 5.04/5.24 tff(34879,plain,
% 5.04/5.24 (b(s(s(elem!1)), s(s(elem!1))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 5.04/5.24 inference(symmetry,[status(thm)],[34878])).
% 5.04/5.24 tff(34880,plain,
% 5.04/5.24 ((~b(s(s(elem!1)), s(s(elem!1)))) <=> (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34879])).
% 5.04/5.24 tff(34881,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(elem!1)), s(s(elem!1)))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34877])).
% 5.04/5.24 tff(34882,plain,
% 5.04/5.24 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(elem!1)), s(s(elem!1))))),
% 5.04/5.24 inference(monotonicity,[status(thm)],[34881])).
% 5.04/5.24 tff(34883,plain,
% 5.04/5.24 (~b(s(s(elem!1)), s(s(elem!1)))),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[1267, 34882])).
% 5.04/5.24 tff(34884,plain,
% 5.04/5.24 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 5.04/5.24 inference(modus_ponens,[status(thm)],[34883, 34880])).
% 5.04/5.24 tff(34885,plain,
% 5.04/5.24 ($false),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[30991, 34884])).
% 5.04/5.24 tff(34886,plain,(b(s(s(s(s(z)))), s(s(elem!1))) | r(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.24 tff(34887,plain,
% 5.04/5.24 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[34886, 34876])).
% 5.04/5.24 tff(34888,plain,
% 5.04/5.24 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[31408, 34887, 28811, 539])).
% 5.04/5.24 tff(34889,plain,
% 5.04/5.24 (r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[6881, 34888, 34867])).
% 5.04/5.24 tff(34890,plain,
% 5.04/5.24 (~r(s(s(elem!1)), s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[17012, 34889, 34829])).
% 5.04/5.24 tff(34891,plain,
% 5.04/5.24 (~r(z, s(s(elem!1)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[11410, 82, 150, 34889])).
% 5.04/5.24 tff(34892,plain,
% 5.04/5.24 (b(z, s(s(elem!1)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[161, 34891])).
% 5.04/5.24 tff(34893,plain,
% 5.04/5.24 (~r(z, s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[558, 34829, 150])).
% 5.04/5.24 tff(34894,plain,
% 5.04/5.24 (b(z, s(s(z)))),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[563, 34893])).
% 5.04/5.24 tff(34895,plain,
% 5.04/5.24 (~b(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[1749, 34831, 34795, 34823, 34825])).
% 5.04/5.24 tff(34896,plain,
% 5.04/5.24 (r(s(s(s(z))), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[135, 34895])).
% 5.04/5.24 tff(34897,plain,
% 5.04/5.24 (~r(s(s(z)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[29071, 34896, 34829])).
% 5.04/5.24 tff(34898,plain,
% 5.04/5.24 (b(s(s(z)), z)),
% 5.04/5.24 inference(unit_resolution,[status(thm)],[956, 34897])).
% 5.04/5.24 tff(34899,plain,
% 5.04/5.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 5.04/5.24 inference(rewrite,[status(thm)],[])).
% 5.04/5.24 tff(34900,plain,
% 5.04/5.24 (((~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), z))) <=> ((~r(s(s(elem!1)), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 5.04/5.24 inference(rewrite,[status(thm)],[])).
% 5.04/5.24 tff(34901,plain,
% 5.04/5.24 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z)))))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34900])).
% 5.04/5.25 tff(34902,plain,
% 5.04/5.25 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 5.04/5.25 inference(transitivity,[status(thm)],[34901, 34899])).
% 5.04/5.25 tff(34903,plain,
% 5.04/5.25 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(s(elem!1)), z)))),
% 5.04/5.25 inference(quant_inst,[status(thm)],[])).
% 5.04/5.25 tff(34904,plain,
% 5.04/5.25 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z)))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[34903, 34902])).
% 5.04/5.25 tff(34905,plain,
% 5.04/5.25 (~r(s(s(elem!1)), z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[34904, 82, 150, 34889])).
% 5.04/5.25 tff(34906,plain,
% 5.04/5.25 (b(s(s(elem!1)), z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[800, 34905])).
% 5.04/5.25 tff(34907,plain,
% 5.04/5.25 (~b(s(s(elem!1)), s(s(z)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[22104, 34906, 34898, 34894, 34892])).
% 5.04/5.25 tff(34908,plain,
% 5.04/5.25 (s(s(elem!1)) = s(s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[22190, 34907, 34890])).
% 5.04/5.25 tff(34909,plain,
% 5.04/5.25 (s(elem!1) = s(z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[10916, 34908])).
% 5.04/5.25 tff(34910,plain,
% 5.04/5.25 (z = elem!1),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1912, 34909])).
% 5.04/5.25 tff(34911,plain,
% 5.04/5.25 (s(z) = s(elem!1)),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34910])).
% 5.04/5.25 tff(34912,plain,
% 5.04/5.25 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34911])).
% 5.04/5.25 tff(34913,plain,
% 5.04/5.25 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 5.04/5.25 inference(transitivity,[status(thm)],[34912, 17522])).
% 5.04/5.25 tff(34914,plain,
% 5.04/5.25 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(transitivity,[status(thm)],[34913, 17531])).
% 5.04/5.25 tff(34915,plain,
% 5.04/5.25 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(elem!1) = s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34914])).
% 5.04/5.25 tff(34916,plain,
% 5.04/5.25 (~(s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[6121, 34915])).
% 5.04/5.25 tff(34917,plain,
% 5.04/5.25 (elem!1 = z),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[2752, 34910])).
% 5.04/5.25 tff(34918,plain,
% 5.04/5.25 (~b(z, elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1036, 34917])).
% 5.04/5.25 tff(34919,plain,
% 5.04/5.25 (~(s(s(elem!1)) = elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17488, 34918, 34892])).
% 5.04/5.25 tff(34920,plain,
% 5.04/5.25 (~(s(elem!1) = s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[209, 34919])).
% 5.04/5.25 tff(34921,plain,
% 5.04/5.25 (~(s(s(s(elem!1))) = s(elem!1))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[217, 34920])).
% 5.04/5.25 tff(34922,plain,
% 5.04/5.25 (b(s(z), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[3104, 34917, 34795])).
% 5.04/5.25 tff(34923,plain,
% 5.04/5.25 (b(s(s(elem!1)), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[5940, 34917, 34906])).
% 5.04/5.25 tff(34924,plain,
% 5.04/5.25 (b(elem!1, s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[2787, 34910, 34825])).
% 5.04/5.25 tff(34925,plain,
% 5.04/5.25 (b(elem!1, s(s(elem!1)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[9178, 34917, 34892])).
% 5.04/5.25 tff(34926,plain,
% 5.04/5.25 (~b(s(z), s(s(elem!1)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[839, 34925, 34924, 34923, 34922])).
% 5.04/5.25 tff(34927,plain,
% 5.04/5.25 (r(s(z), s(s(elem!1)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[743, 34926])).
% 5.04/5.25 tff(34928,plain,
% 5.04/5.25 (~r(s(z), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[12117, 34910, 34794])).
% 5.04/5.25 tff(34929,plain,
% 5.04/5.25 (~(s(s(s(s(z)))) = elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1019, 34928, 72])).
% 5.04/5.25 tff(34930,plain,
% 5.04/5.25 ((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), elem!1)) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[11385, 30991])).
% 5.04/5.25 tff(34931,plain,
% 5.04/5.25 (~b(s(s(s(s(z)))), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[34930, 34925, 34887, 34923])).
% 5.04/5.25 tff(34932,plain,
% 5.04/5.25 (r(s(s(s(s(z)))), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1144, 34931, 34929])).
% 5.04/5.25 tff(34933,plain,
% 5.04/5.25 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[23835, 34932, 34876])).
% 5.04/5.25 tff(34934,plain,
% 5.04/5.25 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1490, 34921])).
% 5.04/5.25 tff(34935,plain,
% 5.04/5.25 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[32520, 34934, 72, 34910, 539, 34927, 28811])).
% 5.04/5.25 tff(34936,plain,
% 5.04/5.25 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1292, 34935, 34933])).
% 5.04/5.25 tff(34937,plain,
% 5.04/5.25 (~r(s(s(s(elem!1))), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[4215, 34936, 34927])).
% 5.04/5.25 tff(34938,plain,
% 5.04/5.25 (~r(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[7807, 34937, 34910])).
% 5.04/5.25 tff(34939,plain,
% 5.04/5.25 (b(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1971, 34938, 34921])).
% 5.04/5.25 tff(34940,plain,
% 5.04/5.25 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1)))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34913])).
% 5.04/5.25 tff(34941,plain,
% 5.04/5.25 (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[6121, 34940])).
% 5.04/5.25 tff(34942,plain,
% 5.04/5.25 (s(s(z)) = s(s(elem!1))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34911])).
% 5.04/5.25 tff(34943,plain,
% 5.04/5.25 (s(s(s(z))) = s(s(s(elem!1)))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34942])).
% 5.04/5.25 tff(34944,plain,
% 5.04/5.25 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34943])).
% 5.04/5.25 tff(34945,plain,
% 5.04/5.25 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 5.04/5.25 inference(symmetry,[status(thm)],[34944])).
% 5.04/5.25 tff(34946,plain,
% 5.04/5.25 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34945])).
% 5.04/5.25 tff(34947,plain,
% 5.04/5.25 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 5.04/5.25 inference(symmetry,[status(thm)],[34946])).
% 5.04/5.25 tff(34948,plain,
% 5.04/5.25 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[34887, 34947])).
% 5.04/5.25 tff(34949,plain,
% 5.04/5.25 (b(s(s(elem!1)), s(s(s(s(elem!1))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34945])).
% 5.04/5.25 tff(34950,plain,
% 5.04/5.25 (b(s(s(elem!1)), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 5.04/5.25 inference(symmetry,[status(thm)],[34949])).
% 5.04/5.25 tff(34951,plain,
% 5.04/5.25 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[30991, 34950])).
% 5.04/5.25 tff(34952,plain,
% 5.04/5.25 (r(s(s(z)), s(z)) <=> r(s(s(elem!1)), s(elem!1))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34942, 34911])).
% 5.04/5.25 tff(34953,plain,
% 5.04/5.25 (~b(s(s(z)), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[31948, 34898, 34825, 34795, 34894])).
% 5.04/5.25 tff(34954,plain,
% 5.04/5.25 (r(s(s(z)), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[472, 34953])).
% 5.04/5.25 tff(34955,plain,
% 5.04/5.25 (r(s(s(elem!1)), s(elem!1))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[34954, 34952])).
% 5.04/5.25 tff(34956,plain,
% 5.04/5.25 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34944])).
% 5.04/5.25 tff(34957,plain,
% 5.04/5.25 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), s(elem!1))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34911])).
% 5.04/5.25 tff(34958,plain,
% 5.04/5.25 (r(s(s(s(s(z)))), s(elem!1))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[34868, 34957])).
% 5.04/5.25 tff(34959,plain,
% 5.04/5.25 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[34958, 34956])).
% 5.04/5.25 tff(34960,plain,
% 5.04/5.25 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[8071, 34959, 34955, 34951, 34948, 34910])).
% 5.04/5.25 tff(34961,plain,
% 5.04/5.25 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17602, 34960, 34941])).
% 5.04/5.25 tff(34962,plain,
% 5.04/5.25 (~r(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[4520, 34917, 34830])).
% 5.04/5.25 tff(34963,plain,
% 5.04/5.25 (b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1515, 34920, 34962])).
% 5.04/5.25 tff(34964,plain,
% 5.04/5.25 (~r(elem!1, z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[28941, 34932, 1122])).
% 5.04/5.25 tff(34965,plain,
% 5.04/5.25 (~b(s(s(s(z))), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[6908, 34922, 34823, 34831, 34924])).
% 5.04/5.25 tff(34966,plain,
% 5.04/5.25 (~b(s(s(s(elem!1))), z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[4508, 34965, 34910])).
% 5.04/5.25 tff(34967,plain,
% 5.04/5.25 (r(s(s(s(elem!1))), z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1387, 34966])).
% 5.04/5.25 tff(34968,plain,
% 5.04/5.25 (~(elem!1 = s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[3385, 34967, 34964])).
% 5.04/5.25 tff(34969,plain,
% 5.04/5.25 (~(s(s(s(elem!1))) = elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[3379, 34968])).
% 5.04/5.25 tff(34970,plain,
% 5.04/5.25 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1336, 34969])).
% 5.04/5.25 tff(34971,plain,
% 5.04/5.25 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[5699, 34970])).
% 5.04/5.25 tff(34972,plain,
% 5.04/5.25 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34910])).
% 5.04/5.25 tff(34973,plain,
% 5.04/5.25 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(transitivity,[status(thm)],[34972, 5922])).
% 5.04/5.25 tff(34974,plain,
% 5.04/5.25 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.25 inference(transitivity,[status(thm)],[34973, 5923])).
% 5.04/5.25 tff(34975,plain,
% 5.04/5.25 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34974])).
% 5.04/5.25 tff(34976,plain,
% 5.04/5.25 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[5929, 34975])).
% 5.04/5.25 tff(34977,plain,
% 5.04/5.25 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34973])).
% 5.04/5.25 tff(34978,plain,
% 5.04/5.25 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[5929, 34977])).
% 5.04/5.25 tff(34979,plain,
% 5.04/5.25 (~r(s(z), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[4223, 34936, 34927])).
% 5.04/5.25 tff(34980,plain,
% 5.04/5.25 (b(s(z), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1870, 34979])).
% 5.04/5.25 tff(34981,plain,
% 5.04/5.25 (b(s(s(s(elem!1))), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1990, 34937])).
% 5.04/5.25 tff(34982,plain,
% 5.04/5.25 (~b(elem!1, s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17387, 34981, 34922, 34924, 34980])).
% 5.04/5.25 tff(34983,plain,
% 5.04/5.25 (r(elem!1, s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[1946, 34982, 34968])).
% 5.04/5.25 tff(34984,plain,
% 5.04/5.25 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[7335, 34917, 34829])).
% 5.04/5.25 tff(34985,plain,
% 5.04/5.25 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34910])).
% 5.04/5.25 tff(34986,plain,
% 5.04/5.25 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 5.04/5.25 inference(transitivity,[status(thm)],[34985, 2831])).
% 5.04/5.25 tff(34987,plain,
% 5.04/5.25 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34986])).
% 5.04/5.25 tff(34988,plain,
% 5.04/5.25 (~(elem!1 = s(s(s(s(elem!1)))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[1633, 34987])).
% 5.04/5.25 tff(34989,plain,
% 5.04/5.25 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[6043, 34988])).
% 5.04/5.25 tff(34990,plain,
% 5.04/5.25 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[6051, 34989])).
% 5.04/5.25 tff(34991,plain,
% 5.04/5.25 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17554, 34990, 34984, 34923, 34925, 34983, 34978, 34976])).
% 5.04/5.25 tff(34992,plain,
% 5.04/5.25 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17558, 34991, 34971])).
% 5.04/5.25 tff(34993,plain,
% 5.04/5.25 (~b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17802, 34992, 34963, 34961, 34939])).
% 5.04/5.25 tff(34994,plain,
% 5.04/5.25 (r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17650, 34993, 34916])).
% 5.04/5.25 tff(34995,plain,
% 5.04/5.25 (~b(s(s(s(elem!1))), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[10102, 34966, 34917])).
% 5.04/5.25 tff(34996,plain,
% 5.04/5.25 (r(s(s(s(elem!1))), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[2162, 34969, 34995])).
% 5.04/5.25 tff(34997,plain,
% 5.04/5.25 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34911])).
% 5.04/5.25 tff(34998,plain,
% 5.04/5.25 (b(elem!1, s(elem!1))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[34924, 34997])).
% 5.04/5.25 tff(34999,plain,
% 5.04/5.25 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34944])).
% 5.04/5.25 tff(35000,plain,
% 5.04/5.25 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(transitivity,[status(thm)],[34999, 17561])).
% 5.04/5.25 tff(35001,plain,
% 5.04/5.25 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[35000])).
% 5.04/5.25 tff(35002,plain,
% 5.04/5.25 (~(s(s(s(s(elem!1)))) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[3187, 35001])).
% 5.04/5.25 tff(35003,plain,
% 5.04/5.25 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(elem!1)))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34944])).
% 5.04/5.25 tff(35004,plain,
% 5.04/5.25 (r(s(z), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34911])).
% 5.04/5.25 tff(35005,plain,
% 5.04/5.25 (r(s(elem!1), s(s(s(s(z)))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[72, 35004])).
% 5.04/5.25 tff(35006,plain,
% 5.04/5.25 (r(s(elem!1), s(s(s(s(elem!1)))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[35005, 35003])).
% 5.04/5.25 tff(35007,plain,
% 5.04/5.25 (~r(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17653, 34992, 34963, 34959, 34916, 35006, 34941, 34939])).
% 5.04/5.25 tff(35008,plain,
% 5.04/5.25 (b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[17628, 35007, 35002])).
% 5.04/5.25 tff(35009,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 5.04/5.25 inference(rewrite,[status(thm)],[])).
% 5.04/5.25 tff(35010,plain,
% 5.04/5.25 (((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1))))))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 5.04/5.25 inference(rewrite,[status(thm)],[])).
% 5.04/5.25 tff(35011,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[35010])).
% 5.04/5.25 tff(35012,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 5.04/5.25 inference(transitivity,[status(thm)],[35011, 35009])).
% 5.04/5.25 tff(35013,plain,
% 5.04/5.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(quant_inst,[status(thm)],[])).
% 5.04/5.25 tff(35014,plain,
% 5.04/5.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[35013, 35012])).
% 5.04/5.25 tff(35015,plain,
% 5.04/5.25 (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[35014, 338, 1500, 2302, 6229, 8019, 17615])).
% 5.04/5.25 tff(35016,plain,
% 5.04/5.25 (r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[6076, 21, 35015, 5711])).
% 5.04/5.25 tff(35017,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 5.04/5.25 inference(rewrite,[status(thm)],[])).
% 5.04/5.25 tff(35018,plain,
% 5.04/5.25 (((~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1))))))) <=> ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 5.04/5.25 inference(rewrite,[status(thm)],[])).
% 5.04/5.25 tff(35019,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[35018])).
% 5.04/5.25 tff(35020,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))))),
% 5.04/5.25 inference(transitivity,[status(thm)],[35019, 35017])).
% 5.04/5.25 tff(35021,plain,
% 5.04/5.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(quant_inst,[status(thm)],[])).
% 5.04/5.25 tff(35022,plain,
% 5.04/5.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(elem!1, s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[35021, 35020])).
% 5.04/5.25 tff(35023,plain,
% 5.04/5.25 (~b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[35022, 338, 315, 2302, 6229, 8019, 17615])).
% 5.04/5.25 tff(35024,plain,
% 5.04/5.25 (r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[6151, 35023, 6170])).
% 5.04/5.25 tff(35025,plain,
% 5.04/5.25 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 5.04/5.25 inference(rewrite,[status(thm)],[])).
% 5.04/5.25 tff(35026,plain,
% 5.04/5.25 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))))),
% 5.04/5.25 inference(quant_inst,[status(thm)],[])).
% 5.04/5.25 tff(35027,plain,
% 5.04/5.25 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(elem!1))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), elem!1)) | (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1)))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[35026, 35025])).
% 5.04/5.25 tff(35028,plain,
% 5.04/5.25 ($false),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[35027, 82, 1269, 35024, 35016])).
% 5.04/5.25 tff(35029,plain,((~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))) | (~r(s(s(s(elem!1))), elem!1)) | (s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1)))) | (s(s(s(s(s(s(elem!1)))))) = elem!1) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(elem!1)))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(elem!1))) | (~b(s(s(s(s(elem!1)))), s(s(s(s(s(s(elem!1)))))))) | (~b(s(s(s(elem!1))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.25 tff(35030,plain,
% 5.04/5.25 (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[35029, 35008, 34998, 34951, 34971, 34939, 34976, 34961, 34996])).
% 5.04/5.25 tff(35031,plain,
% 5.04/5.25 (r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[6226, 35030, 34989])).
% 5.04/5.25 tff(35032,plain,
% 5.04/5.25 (r(s(z), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[34911])).
% 5.04/5.25 tff(35033,plain,
% 5.04/5.25 (r(s(elem!1), s(s(elem!1)))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[34927, 35032])).
% 5.04/5.25 tff(35034,plain,
% 5.04/5.25 ($false),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[7963, 82, 35033, 35031, 34994])).
% 5.04/5.25 tff(35035,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.25 tff(35036,plain,
% 5.04/5.25 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[35035, 72, 1122, 138])).
% 5.04/5.25 tff(35037,plain,
% 5.04/5.25 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[689, 35036])).
% 5.04/5.25 tff(35038,plain,
% 5.04/5.25 (~r(s(z), s(s(s(z))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[11205, 35037, 72])).
% 5.04/5.25 tff(35039,plain,
% 5.04/5.25 (b(s(z), s(s(s(z))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[424, 35038])).
% 5.04/5.25 tff(35040,plain,
% 5.04/5.25 (~r(s(s(s(z))), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[2959, 35037, 72])).
% 5.04/5.25 tff(35041,plain,
% 5.04/5.25 (b(s(s(s(z))), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[437, 35040])).
% 5.04/5.25 tff(35042,plain,
% 5.04/5.25 (~b(z, s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[15221, 35037, 1122, 34795, 72])).
% 5.04/5.25 tff(35043,plain,
% 5.04/5.25 (r(z, s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[403, 35042])).
% 5.04/5.25 tff(35044,plain,
% 5.04/5.25 (~r(s(s(s(s(z)))), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[14739, 35043, 1122])).
% 5.04/5.25 tff(35045,plain,
% 5.04/5.25 (b(s(s(s(s(z)))), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[119, 35044])).
% 5.04/5.25 tff(35046,plain,
% 5.04/5.25 (~b(s(z), s(s(z)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[29806, 35045, 35041, 35039, 150, 34795, 28811])).
% 5.04/5.25 tff(35047,plain,
% 5.04/5.25 (r(s(z), s(s(z)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[455, 35046])).
% 5.04/5.25 tff(35048,plain,
% 5.04/5.25 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[28674, 35047, 72])).
% 5.04/5.25 tff(35049,plain,
% 5.04/5.25 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[31474, 35048])).
% 5.04/5.25 tff(35050,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.25 inference(rewrite,[status(thm)],[])).
% 5.04/5.25 tff(35051,plain,
% 5.04/5.25 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.25 inference(rewrite,[status(thm)],[])).
% 5.04/5.25 tff(35052,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))))),
% 5.04/5.25 inference(monotonicity,[status(thm)],[35051])).
% 5.04/5.25 tff(35053,plain,
% 5.04/5.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.25 inference(transitivity,[status(thm)],[35052, 35050])).
% 5.04/5.25 tff(35054,plain,
% 5.04/5.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.25 inference(quant_inst,[status(thm)],[])).
% 5.04/5.25 tff(35055,plain,
% 5.04/5.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[35054, 35053])).
% 5.04/5.25 tff(35056,plain,
% 5.04/5.25 (~b(s(s(elem!1)), s(s(z)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[35055, 338, 35039, 28811, 35045, 35049, 30991])).
% 5.04/5.25 tff(35057,plain,
% 5.04/5.25 (~r(s(s(s(z))), z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[3603, 35037, 1122])).
% 5.04/5.25 tff(35058,plain,
% 5.04/5.25 (b(s(s(s(z))), z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[135, 35057])).
% 5.04/5.25 tff(35059,plain,
% 5.04/5.25 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[30667, 35058, 34789, 34795, 35041, 28811])).
% 5.04/5.25 tff(35060,plain,
% 5.04/5.25 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[534, 35059])).
% 5.04/5.25 tff(35061,plain,
% 5.04/5.25 (~r(z, s(s(s(s(z)))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[919, 35037, 150])).
% 5.04/5.25 tff(35062,plain,
% 5.04/5.25 (b(z, s(s(s(s(z)))))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[391, 35061])).
% 5.04/5.25 tff(35063,plain,
% 5.04/5.25 (~b(s(s(z)), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[28686, 35060, 34789, 150, 34795, 35062])).
% 5.04/5.25 tff(35064,plain,
% 5.04/5.25 (r(s(s(z)), s(z))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[472, 35063])).
% 5.04/5.25 tff(35065,plain,
% 5.04/5.25 (~r(s(s(z)), z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[29921, 35064, 35043])).
% 5.04/5.25 tff(35066,plain,
% 5.04/5.25 (b(s(s(z)), z)),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[956, 35065])).
% 5.04/5.25 tff(35067,plain,
% 5.04/5.25 (~r(z, s(s(z)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[558, 35060, 150])).
% 5.04/5.25 tff(35068,plain,
% 5.04/5.25 (b(z, s(s(z)))),
% 5.04/5.25 inference(unit_resolution,[status(thm)],[563, 35067])).
% 5.04/5.25 tff(35069,plain,
% 5.04/5.25 (b(s(s(z)), z) <=> b(s(elem!1), z)),
% 5.04/5.25 inference(monotonicity,[status(thm)],[869])).
% 5.04/5.25 tff(35070,plain,
% 5.04/5.25 (b(s(elem!1), z)),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[2431, 35069])).
% 5.04/5.25 tff(35071,plain,
% 5.04/5.25 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.25 inference(symmetry,[status(thm)],[22629])).
% 5.04/5.25 tff(35072,plain,
% 5.04/5.25 (b(s(elem!1), s(s(s(s(z)))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[600, 22627])).
% 5.04/5.25 tff(35073,plain,
% 5.04/5.25 (b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.25 inference(modus_ponens,[status(thm)],[35072, 35071])).
% 5.04/5.25 tff(35074,plain,
% 5.04/5.25 (b(z, s(s(z))) <=> b(z, s(elem!1))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[869])).
% 5.04/5.26 tff(35075,plain,
% 5.04/5.26 (b(z, s(elem!1))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[601, 35074])).
% 5.04/5.26 tff(35076,plain,
% 5.04/5.26 (b(s(s(s(s(z)))), s(elem!1))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[540, 1479])).
% 5.04/5.26 tff(35077,plain,
% 5.04/5.26 (b(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[35076, 1478])).
% 5.04/5.26 tff(35078,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[12022, 338, 35077, 11792, 35075, 35073, 35070])).
% 5.04/5.26 tff(35079,plain,((~(s(z) = elem!1)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35080,plain,
% 5.04/5.26 (~(s(z) = elem!1)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35079, 35049, 34789, 35062, 35068, 35066])).
% 5.04/5.26 tff(35081,plain,
% 5.04/5.26 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1237, 35080])).
% 5.04/5.26 tff(35082,plain,
% 5.04/5.26 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1207, 35081])).
% 5.04/5.26 tff(35083,plain,
% 5.04/5.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 5.04/5.26 inference(rewrite,[status(thm)],[])).
% 5.04/5.26 tff(35084,plain,
% 5.04/5.26 (((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 5.04/5.26 inference(rewrite,[status(thm)],[])).
% 5.04/5.26 tff(35085,plain,
% 5.04/5.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35084])).
% 5.04/5.26 tff(35086,plain,
% 5.04/5.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35085, 35083])).
% 5.04/5.26 tff(35087,plain,
% 5.04/5.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 5.04/5.26 inference(quant_inst,[status(thm)],[])).
% 5.04/5.26 tff(35088,plain,
% 5.04/5.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[35087, 35086])).
% 5.04/5.26 tff(35089,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35088, 338, 8722, 747, 1740, 458, 987, 2911])).
% 5.04/5.26 tff(35090,plain,((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35091,plain,
% 5.04/5.26 (~b(s(z), s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35090, 8722, 28760, 458, 987, 2911])).
% 5.04/5.26 tff(35092,plain,
% 5.04/5.26 (r(s(z), s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[743, 35091])).
% 5.04/5.26 tff(35093,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z)))))),
% 5.04/5.26 inference(rewrite,[status(thm)],[])).
% 5.04/5.26 tff(35094,plain,
% 5.04/5.26 (((~r(s(s(elem!1)), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1))))) <=> ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z)))))),
% 5.04/5.26 inference(rewrite,[status(thm)],[])).
% 5.04/5.26 tff(35095,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35094])).
% 5.04/5.26 tff(35096,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z)))))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35095, 35093])).
% 5.04/5.26 tff(35097,plain,
% 5.04/5.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))))),
% 5.04/5.26 inference(quant_inst,[status(thm)],[])).
% 5.04/5.26 tff(35098,plain,
% 5.04/5.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z))))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[35097, 35096])).
% 5.04/5.26 tff(35099,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35098, 82, 721, 70, 17007])).
% 5.04/5.26 tff(35100,plain,((~r(s(s(elem!1)), s(s(z)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35101,plain,
% 5.04/5.26 (~r(s(s(elem!1)), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35100, 35092, 70])).
% 5.04/5.26 tff(35102,plain,
% 5.04/5.26 (s(s(elem!1)) = s(s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[22190, 35101, 22188])).
% 5.04/5.26 tff(35103,plain,
% 5.04/5.26 (s(elem!1) = s(z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[10916, 35102])).
% 5.04/5.26 tff(35104,plain,
% 5.04/5.26 (z = elem!1),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1912, 35103])).
% 5.04/5.26 tff(35105,plain,
% 5.04/5.26 (s(elem!1) = s(s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[32470, 35104, 72, 2911, 35092, 987, 164, 1731, 8722])).
% 5.04/5.26 tff(35106,plain,
% 5.04/5.26 (~r(s(z), elem!1)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[12117, 35104, 2])).
% 5.04/5.26 tff(35107,plain,
% 5.04/5.26 (~(s(s(elem!1)) = elem!1)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[13678, 35106, 35091])).
% 5.04/5.26 tff(35108,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[209, 35107, 35105])).
% 5.04/5.26 tff(35109,plain,((~b(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | r(s(z), z) | b(s(s(elem!1)), s(s(z))) | (~r(s(z), s(s(z)))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35110,plain,
% 5.04/5.26 (~b(z, s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35109, 72, 35045, 28811, 150, 35043, 34794, 35056, 35047, 35041])).
% 5.04/5.26 tff(35111,plain,
% 5.04/5.26 (r(z, s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[161, 35110])).
% 5.04/5.26 tff(35112,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[6876, 10215, 31041, 457, 458, 3485])).
% 5.04/5.26 tff(35113,plain,((~r(z, s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(elem!1)), s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35114,plain,
% 5.04/5.26 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35113, 35111, 35041, 35039, 35081, 35043, 150])).
% 5.04/5.26 tff(35115,plain,
% 5.04/5.26 (r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[6881, 35114, 35082])).
% 5.04/5.26 tff(35116,plain,
% 5.04/5.26 (~r(s(s(elem!1)), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[17012, 35115, 35060])).
% 5.04/5.26 tff(35117,plain,
% 5.04/5.26 (s(s(elem!1)) = s(s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[22190, 35116, 35056])).
% 5.04/5.26 tff(35118,plain,
% 5.04/5.26 (~(z = elem!1)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[11899, 35115, 150, 35111])).
% 5.04/5.26 tff(35119,plain,
% 5.04/5.26 (~(s(elem!1) = s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1912, 35118])).
% 5.04/5.26 tff(35120,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[10916, 35119, 35117])).
% 5.04/5.26 tff(35121,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35122,plain,
% 5.04/5.26 (~r(s(z), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35121, 138, 1122])).
% 5.04/5.26 tff(35123,plain,
% 5.04/5.26 (b(s(z), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[106, 35122])).
% 5.04/5.26 tff(35124,plain,
% 5.04/5.26 (~r(z, s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[28835, 35123, 1122, 150])).
% 5.04/5.26 tff(35125,plain,
% 5.04/5.26 (b(z, s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[403, 35124])).
% 5.04/5.26 tff(35126,plain,
% 5.04/5.26 (~r(z, s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[28835, 651, 1122, 164])).
% 5.04/5.26 tff(35127,plain,
% 5.04/5.26 (b(z, s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[403, 35126])).
% 5.04/5.26 tff(35128,plain,
% 5.04/5.26 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[30671, 427, 164, 651, 30574, 35127])).
% 5.04/5.26 tff(35129,plain,
% 5.04/5.26 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[689, 35128])).
% 5.04/5.26 tff(35130,plain,
% 5.04/5.26 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[29094, 35129, 34789, 164, 651, 12514, 35127])).
% 5.04/5.26 tff(35131,plain,
% 5.04/5.26 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[639, 35130])).
% 5.04/5.26 tff(35132,plain,
% 5.04/5.26 (~r(s(z), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[29067, 35129, 34789, 12514, 651, 427])).
% 5.04/5.26 tff(35133,plain,
% 5.04/5.26 (b(s(z), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[455, 35132])).
% 5.04/5.26 tff(35134,plain,
% 5.04/5.26 (~b(s(s(z)), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[30977, 35133, 34789, 30574, 35127, 1122, 651])).
% 5.04/5.26 tff(35135,plain,
% 5.04/5.26 (r(s(s(z)), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[472, 35134])).
% 5.04/5.26 tff(35136,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[34561, 82, 427, 35135, 35131])).
% 5.04/5.26 tff(35137,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35138,plain,
% 5.04/5.26 (~r(s(s(s(z))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35137, 35123, 1122, 150])).
% 5.04/5.26 tff(35139,plain,
% 5.04/5.26 (b(s(s(s(z))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[437, 35138])).
% 5.04/5.26 tff(35140,plain,
% 5.04/5.26 (~r(s(s(s(z))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35137, 651, 1122, 164])).
% 5.04/5.26 tff(35141,plain,
% 5.04/5.26 (b(s(s(s(z))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[437, 35140])).
% 5.04/5.26 tff(35142,plain,
% 5.04/5.26 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[30667, 1741, 34789, 30574, 35141, 12514])).
% 5.04/5.26 tff(35143,plain,
% 5.04/5.26 (~r(s(s(z)), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[30657, 1741, 34789, 164, 1122, 12514, 651, 35127])).
% 5.04/5.26 tff(35144,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[534, 35143, 35142])).
% 5.04/5.26 tff(35145,plain,((~b(s(s(s(z))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35146,plain,
% 5.04/5.26 (~b(s(s(s(z))), z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35145, 150, 1122, 35123])).
% 5.04/5.26 tff(35147,plain,
% 5.04/5.26 (r(s(s(s(z))), z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[135, 35146])).
% 5.04/5.26 tff(35148,plain,
% 5.04/5.26 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[3603, 35147, 1122])).
% 5.04/5.26 tff(35149,plain,
% 5.04/5.26 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[689, 35148])).
% 5.04/5.26 tff(35150,plain,
% 5.04/5.26 (~b(s(z), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[29399, 35149, 35123, 28811, 35139])).
% 5.04/5.26 tff(35151,plain,
% 5.04/5.26 (r(s(z), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[424, 35150])).
% 5.04/5.26 tff(35152,plain,
% 5.04/5.26 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[29395, 35149, 34789, 28811, 35123, 35139])).
% 5.04/5.26 tff(35153,plain,
% 5.04/5.26 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[534, 35152])).
% 5.04/5.26 tff(35154,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[18536, 35153, 35151, 150, 35125])).
% 5.04/5.26 tff(35155,plain,(b(z, s(s(s(z)))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35156,plain,
% 5.04/5.26 (b(z, s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35155, 1122])).
% 5.04/5.26 tff(35157,plain,
% 5.04/5.26 (~r(s(s(z)), z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[21488, 34791, 27])).
% 5.04/5.26 tff(35158,plain,
% 5.04/5.26 (b(s(s(z)), z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[956, 35157])).
% 5.04/5.26 tff(35159,plain,
% 5.04/5.26 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[30345, 35158, 35156, 10725, 34793])).
% 5.04/5.26 tff(35160,plain,
% 5.04/5.26 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[639, 35159])).
% 5.04/5.26 tff(35161,plain,
% 5.04/5.26 (~r(s(s(s(z))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[28755, 35160, 34791])).
% 5.04/5.26 tff(35162,plain,
% 5.04/5.26 (b(s(s(s(z))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[437, 35161])).
% 5.04/5.26 tff(35163,plain,
% 5.04/5.26 (~r(s(z), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[30721, 82, 34791, 35160])).
% 5.04/5.26 tff(35164,plain,
% 5.04/5.26 (b(s(z), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[424, 35163])).
% 5.04/5.26 tff(35165,plain,
% 5.04/5.26 (~b(s(z), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[30733, 476, 3348, 14542, 540, 1122, 14544])).
% 5.04/5.26 tff(35166,plain,
% 5.04/5.26 (r(s(z), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[455, 35165])).
% 5.04/5.26 tff(35167,plain,
% 5.04/5.26 (~r(s(s(z)), z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[21488, 35166, 405])).
% 5.04/5.26 tff(35168,plain,
% 5.04/5.26 (b(s(s(z)), z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[956, 35167])).
% 5.04/5.26 tff(35169,plain,
% 5.04/5.26 (~r(z, s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[2492, 35166, 1731])).
% 5.04/5.26 tff(35170,plain,
% 5.04/5.26 (b(z, s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[563, 35169])).
% 5.04/5.26 tff(35171,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[3906, 338, 476, 35170, 1741, 3348, 35168])).
% 5.04/5.26 tff(35172,plain,((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35173,plain,
% 5.04/5.26 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35172, 1731, 34789, 35156, 27, 10725, 1122])).
% 5.04/5.26 tff(35174,plain,
% 5.04/5.26 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[534, 35173])).
% 5.04/5.26 tff(35175,plain,
% 5.04/5.26 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[20909, 82, 35174, 1038])).
% 5.04/5.26 tff(35176,plain,
% 5.04/5.26 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[31474, 35175])).
% 5.04/5.26 tff(35177,plain,
% 5.04/5.26 (~r(s(s(s(s(z)))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[11562, 27, 1122])).
% 5.04/5.26 tff(35178,plain,
% 5.04/5.26 (b(s(s(s(s(z)))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[119, 35177])).
% 5.04/5.26 tff(35179,plain,
% 5.04/5.26 (~r(s(z), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[2977, 27, 1122])).
% 5.04/5.26 tff(35180,plain,
% 5.04/5.26 (b(s(z), s(s(s(s(z)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[106, 35179])).
% 5.04/5.26 tff(35181,plain,
% 5.04/5.26 (~r(s(s(elem!1)), z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[31780, 35178, 27, 35180])).
% 5.04/5.26 tff(35182,plain,
% 5.04/5.26 (b(s(s(elem!1)), z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[800, 35181])).
% 5.04/5.26 tff(35183,plain,
% 5.04/5.26 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[11555, 165, 1122])).
% 5.04/5.26 tff(35184,plain,
% 5.04/5.26 (~b(s(z), s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[31840, 35183, 651, 2911])).
% 5.04/5.26 tff(35185,plain,
% 5.04/5.26 ($false),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[743, 35184, 10214])).
% 5.04/5.26 tff(35186,plain,((~r(z, s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.26 tff(35187,plain,
% 5.04/5.26 (~r(z, s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35186, 1731, 35178, 35180, 1122])).
% 5.04/5.26 tff(35188,plain,
% 5.04/5.26 (b(z, s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[161, 35187])).
% 5.04/5.26 tff(35189,plain,
% 5.04/5.26 (~b(s(s(elem!1)), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[22104, 35188, 35158, 34793, 35182])).
% 5.04/5.26 tff(35190,plain,
% 5.04/5.26 (~r(s(s(elem!1)), s(s(z)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35100, 721, 34791])).
% 5.04/5.26 tff(35191,plain,
% 5.04/5.26 (s(s(elem!1)) = s(s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[22190, 35190, 35189])).
% 5.04/5.26 tff(35192,plain,
% 5.04/5.26 (s(s(s(elem!1))) = s(s(s(z)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35191])).
% 5.04/5.26 tff(35193,plain,
% 5.04/5.26 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35192])).
% 5.04/5.26 tff(35194,plain,
% 5.04/5.26 (s(s(s(s(s(elem!1))))) = s(s(s(s(s(z)))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35193])).
% 5.04/5.26 tff(35195,plain,
% 5.04/5.26 (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(s(s(z))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35194])).
% 5.04/5.26 tff(35196,plain,
% 5.04/5.26 (s(s(s(s(s(s(z)))))) = s(s(s(s(s(s(elem!1))))))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35195])).
% 5.04/5.26 tff(35197,plain,
% 5.04/5.26 (r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) <=> r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35196])).
% 5.04/5.26 tff(35198,plain,
% 5.04/5.26 (r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))) <=> r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35197])).
% 5.04/5.26 tff(35199,plain,
% 5.04/5.26 (b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) <=> b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35196])).
% 5.04/5.26 tff(35200,plain,
% 5.04/5.26 ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) <=> (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35199])).
% 5.04/5.26 tff(35201,plain,
% 5.04/5.26 (s(s(z)) = s(s(elem!1))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35191])).
% 5.04/5.26 tff(35202,plain,
% 5.04/5.26 (b(s(s(s(s(s(s(z)))))), s(s(z))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35196, 35201])).
% 5.04/5.26 tff(35203,plain,
% 5.04/5.26 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))) <=> b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35202])).
% 5.04/5.26 tff(35204,plain,
% 5.04/5.26 (s(elem!1) = s(z)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[10916, 35191])).
% 5.04/5.26 tff(35205,plain,
% 5.04/5.26 (z = elem!1),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1912, 35204])).
% 5.04/5.26 tff(35206,plain,
% 5.04/5.26 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35205])).
% 5.04/5.26 tff(35207,plain,
% 5.04/5.26 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35206, 2831])).
% 5.04/5.26 tff(35208,plain,
% 5.04/5.26 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35207])).
% 5.04/5.26 tff(35209,plain,
% 5.04/5.26 (~(elem!1 = s(s(s(s(elem!1)))))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[1633, 35208])).
% 5.04/5.26 tff(35210,plain,
% 5.04/5.26 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[6043, 35209])).
% 5.04/5.26 tff(35211,plain,
% 5.04/5.26 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[6051, 35210])).
% 5.04/5.26 tff(35212,plain,
% 5.04/5.26 (r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(z)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35191])).
% 5.04/5.26 tff(35213,plain,
% 5.04/5.26 (r(s(s(s(s(s(s(elem!1)))))), s(s(z))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35212])).
% 5.04/5.26 tff(35214,plain,
% 5.04/5.26 (r(s(s(s(s(s(s(z)))))), s(s(z))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(z)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35196])).
% 5.04/5.26 tff(35215,plain,
% 5.04/5.26 (r(s(s(s(s(s(s(z)))))), s(s(z))) <=> r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35214, 35213])).
% 5.04/5.26 tff(35216,plain,
% 5.04/5.26 ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35215])).
% 5.04/5.26 tff(35217,plain,
% 5.04/5.26 (elem!1 = z),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[2752, 35205])).
% 5.04/5.26 tff(35218,plain,
% 5.04/5.26 (~b(z, elem!1)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1036, 35217])).
% 5.04/5.26 tff(35219,plain,
% 5.04/5.26 (~(s(s(elem!1)) = elem!1)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[17488, 35218, 35188])).
% 5.04/5.26 tff(35220,plain,
% 5.04/5.26 (~(s(elem!1) = s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[209, 35219])).
% 5.04/5.26 tff(35221,plain,
% 5.04/5.26 (~(s(s(s(elem!1))) = s(elem!1))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[217, 35220])).
% 5.04/5.26 tff(35222,plain,
% 5.04/5.26 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[29694, 35217, 10725, 35182, 35188, 35156])).
% 5.04/5.26 tff(35223,plain,
% 5.04/5.26 (b(z, s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[25711, 35217, 35156])).
% 5.04/5.26 tff(35224,plain,
% 5.04/5.26 (~(s(s(s(elem!1))) = elem!1)),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[2149, 35223, 35218])).
% 5.04/5.26 tff(35225,plain,
% 5.04/5.26 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1287, 35224])).
% 5.04/5.26 tff(35226,plain,
% 5.04/5.26 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1292, 35225, 35222])).
% 5.04/5.26 tff(35227,plain,
% 5.04/5.26 (~r(s(s(s(elem!1))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[4215, 35226, 721])).
% 5.04/5.26 tff(35228,plain,
% 5.04/5.26 (~r(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[7807, 35227, 35205])).
% 5.04/5.26 tff(35229,plain,
% 5.04/5.26 (b(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1971, 35228, 35221])).
% 5.04/5.26 tff(35230,plain,
% 5.04/5.26 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1336, 35224])).
% 5.04/5.26 tff(35231,plain,
% 5.04/5.26 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[5699, 35230])).
% 5.04/5.26 tff(35232,plain,
% 5.04/5.26 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[7335, 35217, 35174])).
% 5.04/5.26 tff(35233,plain,
% 5.04/5.26 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[5747, 35205, 1038])).
% 5.04/5.26 tff(35234,plain,
% 5.04/5.26 (~r(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[2275, 35233, 35232])).
% 5.04/5.26 tff(35235,plain,
% 5.04/5.26 (~(s(s(s(s(elem!1)))) = s(s(elem!1)))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1490, 35221])).
% 5.04/5.26 tff(35236,plain,
% 5.04/5.26 (~(s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1498, 35235])).
% 5.04/5.26 tff(35237,plain,
% 5.04/5.26 (b(s(s(elem!1)), s(s(s(s(elem!1)))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1724, 35236, 35234])).
% 5.04/5.26 tff(35238,plain,
% 5.04/5.26 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35193, 35191])).
% 5.04/5.26 tff(35239,plain,
% 5.04/5.26 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35238])).
% 5.04/5.26 tff(35240,plain,
% 5.04/5.26 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[34789, 35239])).
% 5.04/5.26 tff(35241,plain,
% 5.04/5.26 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[6072, 35240, 35205, 35233, 35237, 35232])).
% 5.04/5.26 tff(35242,plain,
% 5.04/5.26 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[17558, 35241, 35231])).
% 5.04/5.26 tff(35243,plain,
% 5.04/5.26 (~r(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[4520, 35217, 35163])).
% 5.04/5.26 tff(35244,plain,
% 5.04/5.26 (b(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[1515, 35220, 35243])).
% 5.04/5.26 tff(35245,plain,
% 5.04/5.26 (inj_0(s(s(elem!1))) = inj_0(s(s(z)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[10910])).
% 5.04/5.26 tff(35246,plain,
% 5.04/5.26 (s(elem!1) = s(z)),
% 5.04/5.26 inference(transitivity,[status(thm)],[182, 35245, 40])).
% 5.04/5.26 tff(35247,plain,
% 5.04/5.26 ((s(s(s(s(s(s(elem!1)))))) = s(elem!1)) <=> (s(s(s(s(s(s(elem!1)))))) = s(z))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35246])).
% 5.04/5.26 tff(35248,plain,
% 5.04/5.26 ((s(s(s(s(s(s(elem!1)))))) = s(elem!1)) <=> (s(z) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35247, 6114])).
% 5.04/5.26 tff(35249,plain,
% 5.04/5.26 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35248])).
% 5.04/5.26 tff(35250,plain,
% 5.04/5.26 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35249])).
% 5.04/5.26 tff(35251,plain,
% 5.04/5.26 (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[6121, 35250])).
% 5.04/5.26 tff(35252,plain,
% 5.04/5.26 (r(s(s(s(s(s(s(elem!1)))))), s(elem!1)) <=> r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35246])).
% 5.04/5.26 tff(35253,plain,
% 5.04/5.26 (r(s(s(s(s(s(s(elem!1)))))), s(z)) <=> r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35252])).
% 5.04/5.26 tff(35254,plain,
% 5.04/5.26 (s(s(s(elem!1))) = s(s(s(z)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[10910])).
% 5.04/5.26 tff(35255,plain,
% 5.04/5.26 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35254])).
% 5.04/5.26 tff(35256,plain,
% 5.04/5.26 (s(s(s(s(s(elem!1))))) = s(s(s(s(s(z)))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35255])).
% 5.04/5.26 tff(35257,plain,
% 5.04/5.26 (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(s(s(z))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35256])).
% 5.04/5.26 tff(35258,plain,
% 5.04/5.26 (s(s(s(s(s(s(z)))))) = s(s(s(s(s(s(elem!1))))))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35257])).
% 5.04/5.26 tff(35259,plain,
% 5.04/5.26 (r(s(s(s(s(s(s(z)))))), s(z)) <=> r(s(s(s(s(s(s(elem!1)))))), s(z))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35258])).
% 5.04/5.26 tff(35260,plain,
% 5.04/5.26 (r(s(s(s(s(s(s(z)))))), s(z)) <=> r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35259, 35253])).
% 5.04/5.26 tff(35261,plain,
% 5.04/5.26 ((~r(s(s(s(s(s(s(z)))))), s(z))) <=> (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1)))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35260])).
% 5.04/5.26 tff(35262,assumption,(r(s(s(s(s(s(s(z)))))), s(s(z)))), introduced(assumption)).
% 5.04/5.26 tff(35263,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.26 inference(rewrite,[status(thm)],[])).
% 5.04/5.26 tff(35264,plain,
% 5.04/5.26 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.26 inference(rewrite,[status(thm)],[])).
% 5.04/5.26 tff(35265,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35264])).
% 5.04/5.26 tff(35266,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35265, 35263])).
% 5.04/5.26 tff(35267,plain,
% 5.04/5.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 5.04/5.26 inference(quant_inst,[status(thm)],[])).
% 5.04/5.26 tff(35268,plain,
% 5.04/5.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[35267, 35266])).
% 5.04/5.26 tff(35269,plain,
% 5.04/5.26 ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35268, 82, 70])).
% 5.04/5.26 tff(35270,plain,
% 5.04/5.26 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[35269, 35262])).
% 5.04/5.26 tff(35271,plain,
% 5.04/5.26 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[35270, 35261])).
% 5.04/5.26 tff(35272,plain,
% 5.04/5.26 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 5.04/5.26 inference(unit_resolution,[status(thm)],[17602, 35271, 35251])).
% 5.04/5.26 tff(35273,plain,
% 5.04/5.26 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35249, 17531])).
% 5.04/5.26 tff(35274,plain,
% 5.04/5.26 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(elem!1) = s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35273])).
% 5.04/5.26 tff(35275,plain,
% 5.04/5.26 (~(s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(modus_ponens,[status(thm)],[6121, 35274])).
% 5.04/5.26 tff(35276,plain,
% 5.04/5.26 (r(s(elem!1), s(s(s(s(s(s(elem!1))))))) <=> r(s(z), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35246])).
% 5.04/5.26 tff(35277,plain,
% 5.04/5.26 (r(s(z), s(s(s(s(s(s(elem!1))))))) <=> r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(symmetry,[status(thm)],[35276])).
% 5.04/5.26 tff(35278,plain,
% 5.04/5.26 (r(s(z), s(s(s(s(s(s(z))))))) <=> r(s(z), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35258])).
% 5.04/5.26 tff(35279,plain,
% 5.04/5.26 (r(s(z), s(s(s(s(s(s(z))))))) <=> r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35278, 35277])).
% 5.04/5.26 tff(35280,plain,
% 5.04/5.26 ((~r(s(z), s(s(s(s(s(s(z)))))))) <=> (~r(s(elem!1), s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35279])).
% 5.04/5.26 tff(35281,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.26 inference(rewrite,[status(thm)],[])).
% 5.04/5.26 tff(35282,plain,
% 5.04/5.26 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.26 inference(rewrite,[status(thm)],[])).
% 5.04/5.26 tff(35283,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 5.04/5.26 inference(monotonicity,[status(thm)],[35282])).
% 5.04/5.26 tff(35284,plain,
% 5.04/5.26 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.26 inference(transitivity,[status(thm)],[35283, 35281])).
% 5.04/5.26 tff(35285,plain,
% 5.04/5.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 5.04/5.26 inference(quant_inst,[status(thm)],[])).
% 5.04/5.26 tff(35286,plain,
% 5.04/5.26 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35285, 35284])).
% 5.04/5.27 tff(35287,plain,
% 5.04/5.27 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35286, 82, 70])).
% 5.04/5.27 tff(35288,plain,
% 5.04/5.27 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35287, 35262])).
% 5.04/5.27 tff(35289,plain,
% 5.04/5.27 (~r(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35288, 35280])).
% 5.04/5.27 tff(35290,plain,
% 5.04/5.27 (b(s(elem!1), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[17650, 35289, 35275])).
% 5.04/5.27 tff(35291,plain,
% 5.04/5.27 ($false),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[17802, 35290, 35272, 1564, 6138, 1500])).
% 5.04/5.27 tff(35292,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(elem!1), s(s(s(elem!1))))) | (~b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))) | (~b(s(s(s(elem!1))), s(elem!1))) | (~(s(s(elem!1)) = s(s(z)))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.27 tff(35293,plain,
% 5.04/5.27 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35292, 35244, 35242, 35229, 35191, 34791])).
% 5.04/5.27 tff(35294,plain,
% 5.04/5.27 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35293, 35216])).
% 5.04/5.27 tff(35295,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[6063, 35294, 35211])).
% 5.04/5.27 tff(35296,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35295, 35203])).
% 5.04/5.27 tff(35297,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35196])).
% 5.04/5.27 tff(35298,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z))))) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 5.04/5.27 inference(symmetry,[status(thm)],[35297])).
% 5.04/5.27 tff(35299,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) <=> b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(z)))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35193])).
% 5.04/5.27 tff(35300,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1))))) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 5.04/5.27 inference(transitivity,[status(thm)],[35299, 35298])).
% 5.04/5.27 tff(35301,plain,
% 5.04/5.27 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35193])).
% 5.04/5.27 tff(35302,plain,
% 5.04/5.27 ((s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 5.04/5.27 inference(symmetry,[status(thm)],[35301])).
% 5.04/5.27 tff(35303,plain,
% 5.04/5.27 ((~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1))))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35302])).
% 5.04/5.27 tff(35304,plain,
% 5.04/5.27 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(s(elem!1)))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[3187, 35303])).
% 5.04/5.27 tff(35305,plain,
% 5.04/5.27 (r(elem!1, s(s(s(s(elem!1))))) <=> r(elem!1, s(s(s(s(z)))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35193])).
% 5.04/5.27 tff(35306,plain,
% 5.04/5.27 (r(elem!1, s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(elem!1)))))),
% 5.04/5.27 inference(symmetry,[status(thm)],[35305])).
% 5.04/5.27 tff(35307,plain,
% 5.04/5.27 (r(z, s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35205])).
% 5.04/5.27 tff(35308,plain,
% 5.04/5.27 (~b(z, s(s(s(s(z)))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[30112, 35158, 34789, 1038, 34793, 10725])).
% 5.04/5.27 tff(35309,plain,
% 5.04/5.27 (r(z, s(s(s(s(z)))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[391, 35308])).
% 5.04/5.27 tff(35310,plain,
% 5.04/5.27 (r(elem!1, s(s(s(s(z)))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35309, 35307])).
% 5.04/5.27 tff(35311,plain,
% 5.04/5.27 (r(elem!1, s(s(s(s(elem!1)))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35310, 35306])).
% 5.04/5.27 tff(35312,plain,
% 5.04/5.27 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35205])).
% 5.04/5.27 tff(35313,plain,
% 5.04/5.27 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(transitivity,[status(thm)],[35312, 5922])).
% 5.04/5.27 tff(35314,plain,
% 5.04/5.27 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.27 inference(transitivity,[status(thm)],[35313, 5923])).
% 5.04/5.27 tff(35315,plain,
% 5.04/5.27 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35314])).
% 5.04/5.27 tff(35316,plain,
% 5.04/5.27 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[5929, 35315])).
% 5.04/5.27 tff(35317,plain,
% 5.04/5.27 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35313])).
% 5.04/5.27 tff(35318,plain,
% 5.04/5.27 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[5929, 35317])).
% 5.04/5.27 tff(35319,plain,
% 5.04/5.27 (b(z, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(elem!1))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35205])).
% 5.04/5.27 tff(35320,plain,
% 5.04/5.27 (b(elem!1, s(s(s(elem!1))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35223, 35319])).
% 5.04/5.27 tff(35321,plain,
% 5.04/5.27 (r(s(s(s(s(elem!1)))), elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[7372, 35205, 1122])).
% 5.04/5.27 tff(35322,plain,
% 5.04/5.27 (~r(s(s(s(elem!1))), elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[8866, 35321, 35180, 35178, 35162, 35205])).
% 5.04/5.27 tff(35323,plain,
% 5.04/5.27 (b(s(s(s(elem!1))), elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[2162, 35224, 35322])).
% 5.04/5.27 tff(35324,plain,
% 5.04/5.27 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[29730, 35242, 35323, 35320, 35318, 35316, 35311])).
% 5.04/5.27 tff(35325,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(s(elem!1)))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[17585, 35324, 35304])).
% 5.04/5.27 tff(35326,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35325, 35300])).
% 5.04/5.27 tff(35327,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.27 inference(rewrite,[status(thm)],[])).
% 5.04/5.27 tff(35328,plain,
% 5.04/5.27 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.27 inference(rewrite,[status(thm)],[])).
% 5.04/5.27 tff(35329,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35328])).
% 5.04/5.27 tff(35330,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.27 inference(transitivity,[status(thm)],[35329, 35327])).
% 5.04/5.27 tff(35331,plain,
% 5.04/5.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 5.04/5.27 inference(quant_inst,[status(thm)],[])).
% 5.04/5.27 tff(35332,plain,
% 5.04/5.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35331, 35330])).
% 5.04/5.27 tff(35333,plain,
% 5.04/5.27 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35332, 338, 34789, 35176, 35326, 35296])).
% 5.04/5.27 tff(35334,plain,
% 5.04/5.27 (~b(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35333, 35200])).
% 5.04/5.27 tff(35335,plain,
% 5.04/5.27 (r(s(s(s(s(z)))), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[6011, 35334])).
% 5.04/5.27 tff(35336,plain,
% 5.04/5.27 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35335, 35198])).
% 5.04/5.27 tff(35337,plain,
% 5.04/5.27 (r(elem!1, s(s(s(s(s(s(z))))))) <=> r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35196])).
% 5.04/5.27 tff(35338,plain,
% 5.04/5.27 (r(elem!1, s(s(s(s(s(s(elem!1))))))) <=> r(elem!1, s(s(s(s(s(s(z)))))))),
% 5.04/5.27 inference(symmetry,[status(thm)],[35337])).
% 5.04/5.27 tff(35339,plain,
% 5.04/5.27 (inj_0(s(s(elem!1))) = inj_0(s(s(z)))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35191])).
% 5.04/5.27 tff(35340,plain,
% 5.04/5.27 (s(elem!1) = s(z)),
% 5.04/5.27 inference(transitivity,[status(thm)],[182, 35339, 40])).
% 5.04/5.27 tff(35341,plain,
% 5.04/5.27 (r(s(elem!1), elem!1) <=> r(s(z), elem!1)),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35340])).
% 5.04/5.27 tff(35342,plain,
% 5.04/5.27 (r(s(z), elem!1) <=> r(s(elem!1), elem!1)),
% 5.04/5.27 inference(symmetry,[status(thm)],[35341])).
% 5.04/5.27 tff(35343,plain,
% 5.04/5.27 (~b(s(z), elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[709, 35205, 1])).
% 5.04/5.27 tff(35344,plain,
% 5.04/5.27 (~r(z, z)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[27637, 82, 35309])).
% 5.04/5.27 tff(35345,plain,
% 5.04/5.27 (~r(z, elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[10543, 35217, 35344])).
% 5.04/5.27 tff(35346,plain,
% 5.04/5.27 (~(s(z) = elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[1733, 35345, 1731])).
% 5.04/5.27 tff(35347,plain,
% 5.04/5.27 (r(s(z), elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[701, 35346, 35343])).
% 5.04/5.27 tff(35348,plain,
% 5.04/5.27 (r(s(elem!1), elem!1)),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35347, 35342])).
% 5.04/5.27 tff(35349,plain,
% 5.04/5.27 (~r(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[6146, 35242, 35205, 35244, 35229, 35348])).
% 5.04/5.27 tff(35350,plain,
% 5.04/5.27 (b(s(s(s(s(s(s(elem!1)))))), elem!1)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[6151, 35349, 35316])).
% 5.04/5.27 tff(35351,plain,
% 5.04/5.27 (~b(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[6196, 35350, 35320, 35323, 35242])).
% 5.04/5.27 tff(35352,plain,
% 5.04/5.27 (r(elem!1, s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[6185, 35351, 35318])).
% 5.04/5.27 tff(35353,plain,
% 5.04/5.27 (r(elem!1, s(s(s(s(s(s(z)))))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35352, 35338])).
% 5.04/5.27 tff(35354,plain,
% 5.04/5.27 (r(s(s(s(s(z)))), z) <=> r(s(s(s(s(z)))), elem!1)),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35205])).
% 5.04/5.27 tff(35355,plain,
% 5.04/5.27 (r(s(s(s(s(z)))), elem!1)),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[1122, 35354])).
% 5.04/5.27 tff(35356,plain,
% 5.04/5.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 5.04/5.27 inference(rewrite,[status(thm)],[])).
% 5.04/5.27 tff(35357,plain,
% 5.04/5.27 (((~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), elem!1))) <=> ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 5.04/5.27 inference(rewrite,[status(thm)],[])).
% 5.04/5.27 tff(35358,plain,
% 5.04/5.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z))))))))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35357])).
% 5.04/5.27 tff(35359,plain,
% 5.04/5.27 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 5.04/5.27 inference(transitivity,[status(thm)],[35358, 35356])).
% 5.04/5.27 tff(35360,plain,
% 5.04/5.27 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), elem!1)))),
% 5.04/5.27 inference(quant_inst,[status(thm)],[])).
% 5.04/5.27 tff(35361,plain,
% 5.04/5.27 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z))))))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35360, 35359])).
% 5.04/5.27 tff(35362,plain,
% 5.04/5.27 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z))))))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35361, 82, 35355])).
% 5.04/5.27 tff(35363,plain,
% 5.04/5.27 ($false),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35362, 35353, 35336])).
% 5.04/5.27 tff(35364,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | b(s(z), z) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.27 tff(35365,plain,
% 5.04/5.27 (~r(s(z), s(s(elem!1)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35364, 1731, 1122, 1, 1038])).
% 5.04/5.27 tff(35366,plain,
% 5.04/5.27 (b(s(z), s(s(elem!1)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[743, 35365])).
% 5.04/5.27 tff(35367,plain,
% 5.04/5.27 (r(s(s(elem!1)), s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[784, 31837])).
% 5.04/5.27 tff(35368,plain,
% 5.04/5.27 (~r(s(s(elem!1)), s(s(z)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[31960, 35367, 459])).
% 5.04/5.27 tff(35369,plain,
% 5.04/5.27 (s(s(elem!1)) = s(s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[22190, 35368, 22188])).
% 5.04/5.27 tff(35370,plain,
% 5.04/5.27 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(z)))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35369])).
% 5.04/5.27 tff(35371,plain,
% 5.04/5.27 (b(s(z), s(s(z))) <=> b(s(z), s(s(elem!1)))),
% 5.04/5.27 inference(symmetry,[status(thm)],[35370])).
% 5.04/5.27 tff(35372,plain,
% 5.04/5.27 ((~b(s(z), s(s(z)))) <=> (~b(s(z), s(s(elem!1))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35371])).
% 5.04/5.27 tff(35373,plain,
% 5.04/5.27 (~b(s(z), s(s(elem!1)))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[28752, 35372])).
% 5.04/5.27 tff(35374,plain,
% 5.04/5.27 ($false),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[747, 35373])).
% 5.04/5.27 tff(35375,plain,((~b(s(z), s(s(elem!1)))) | b(s(z), s(s(z))) | b(s(s(elem!1)), s(s(z))) | (~r(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.27 tff(35376,plain,
% 5.04/5.27 (~r(s(s(z)), s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35375, 35366, 35189, 34790, 35180, 35178])).
% 5.04/5.27 tff(35377,plain,
% 5.04/5.27 (b(s(s(z)), s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[472, 35376])).
% 5.04/5.27 tff(35378,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.27 inference(rewrite,[status(thm)],[])).
% 5.04/5.27 tff(35379,plain,
% 5.04/5.27 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.27 inference(rewrite,[status(thm)],[])).
% 5.04/5.27 tff(35380,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35379])).
% 5.04/5.27 tff(35381,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.27 inference(transitivity,[status(thm)],[35380, 35378])).
% 5.04/5.27 tff(35382,plain,
% 5.04/5.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.27 inference(quant_inst,[status(thm)],[])).
% 5.04/5.27 tff(35383,plain,
% 5.04/5.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 5.04/5.27 inference(modus_ponens,[status(thm)],[35382, 35381])).
% 5.04/5.27 tff(35384,plain,
% 5.04/5.27 ($false),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35383, 338, 35366, 35377, 35180, 35178, 35176, 30991])).
% 5.04/5.27 tff(35385,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | b(s(z), z) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.27 tff(35386,plain,
% 5.04/5.27 (~r(z, s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35385, 1, 1122, 1038])).
% 5.04/5.27 tff(35387,plain,
% 5.04/5.27 (b(z, s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[403, 35386])).
% 5.04/5.27 tff(35388,plain,
% 5.04/5.27 ($false),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[24717, 338, 35387, 35164, 10725, 35156, 35162])).
% 5.04/5.27 tff(35389,plain,(b(s(z), z) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.27 tff(35390,plain,
% 5.04/5.27 (b(s(z), z)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35389, 1038, 1122])).
% 5.04/5.27 tff(35391,plain,
% 5.04/5.27 (~b(z, s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[10806, 108, 1122, 1038, 35390])).
% 5.04/5.27 tff(35392,plain,
% 5.04/5.27 ($false),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[403, 35391, 14754])).
% 5.04/5.27 tff(35393,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.27 tff(35394,plain,
% 5.04/5.27 (~r(s(s(s(s(z)))), s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35393, 1038, 12174])).
% 5.04/5.27 tff(35395,plain,
% 5.04/5.27 (b(s(s(s(s(z)))), s(z))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[119, 35394])).
% 5.04/5.27 tff(35396,plain,
% 5.04/5.27 (b(z, s(s(s(z))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35155, 12174])).
% 5.04/5.27 tff(35397,plain,
% 5.04/5.27 (b(s(z), z)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[35389, 1038, 12174])).
% 5.04/5.27 tff(35398,plain,
% 5.04/5.27 (~r(s(z), s(s(s(s(z)))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[10729, 486, 12174, 1038, 35397])).
% 5.04/5.27 tff(35399,plain,
% 5.04/5.27 (b(s(z), s(s(s(s(z)))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[106, 35398])).
% 5.04/5.27 tff(35400,plain,
% 5.04/5.27 (~r(s(s(s(z))), z)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[10723, 1038, 12174])).
% 5.04/5.27 tff(35401,plain,
% 5.04/5.27 (b(s(s(s(z))), z)),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[135, 35400])).
% 5.04/5.27 tff(35402,plain,
% 5.04/5.27 (~b(s(z), s(s(s(z))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[3859, 486, 35396, 35397, 35401])).
% 5.04/5.27 tff(35403,plain,
% 5.04/5.27 (r(s(z), s(s(s(z))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[424, 35402])).
% 5.04/5.27 tff(35404,plain,
% 5.04/5.27 (~r(s(s(z)), s(s(s(z))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[5882, 35403, 1038])).
% 5.04/5.27 tff(35405,plain,
% 5.04/5.27 (b(s(s(z)), s(s(s(z))))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[534, 35404])).
% 5.04/5.27 tff(35406,plain,
% 5.04/5.27 (~b(s(z), s(s(z)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[30733, 35405, 34789, 35399, 35396, 12174, 35395])).
% 5.04/5.27 tff(35407,plain,
% 5.04/5.27 (r(s(z), s(s(z)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[455, 35406])).
% 5.04/5.27 tff(35408,plain,
% 5.04/5.27 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[31840, 747, 651, 2911])).
% 5.04/5.27 tff(35409,plain,
% 5.04/5.27 (~r(z, s(s(elem!1)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[11555, 35408, 1122])).
% 5.04/5.27 tff(35410,plain,
% 5.04/5.27 (b(z, s(s(elem!1)))),
% 5.04/5.27 inference(unit_resolution,[status(thm)],[161, 35409])).
% 5.04/5.27 tff(35411,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.27 inference(rewrite,[status(thm)],[])).
% 5.04/5.27 tff(35412,plain,
% 5.04/5.27 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.27 inference(rewrite,[status(thm)],[])).
% 5.04/5.27 tff(35413,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))))),
% 5.04/5.27 inference(monotonicity,[status(thm)],[35412])).
% 5.04/5.27 tff(35414,plain,
% 5.04/5.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.28 inference(transitivity,[status(thm)],[35413, 35411])).
% 5.04/5.28 tff(35415,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))),
% 5.04/5.28 inference(quant_inst,[status(thm)],[])).
% 5.04/5.28 tff(35416,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))),
% 5.04/5.28 inference(modus_ponens,[status(thm)],[35415, 35414])).
% 5.04/5.28 tff(35417,plain,
% 5.04/5.28 (~b(s(s(elem!1)), s(s(z)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35416, 338, 35410, 747, 1740, 600, 30991])).
% 5.04/5.28 tff(35418,plain,
% 5.04/5.28 (~r(s(s(z)), s(z))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35375, 35417, 747, 28752, 651, 2911])).
% 5.04/5.28 tff(35419,plain,
% 5.04/5.28 (b(s(s(z)), s(z))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[472, 35418])).
% 5.04/5.28 tff(35420,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35421,plain,
% 5.04/5.28 (((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35422,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 5.04/5.28 inference(monotonicity,[status(thm)],[35421])).
% 5.04/5.28 tff(35423,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.28 inference(transitivity,[status(thm)],[35422, 35420])).
% 5.04/5.28 tff(35424,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.28 inference(quant_inst,[status(thm)],[])).
% 5.04/5.28 tff(35425,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 5.04/5.28 inference(modus_ponens,[status(thm)],[35424, 35423])).
% 5.04/5.28 tff(35426,plain,
% 5.04/5.28 ($false),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35425, 338, 35410, 747, 1740, 35419, 2911, 600])).
% 5.04/5.28 tff(35427,plain,((~b(s(z), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | b(s(z), s(s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.28 tff(35428,plain,
% 5.04/5.28 (~b(s(z), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35427, 600, 35395, 35397, 35406, 35399, 12174])).
% 5.04/5.28 tff(35429,plain,
% 5.04/5.28 (r(s(z), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[743, 35428])).
% 5.04/5.28 tff(35430,plain,
% 5.04/5.28 (~r(s(s(elem!1)), s(s(z)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35100, 35429, 35407])).
% 5.04/5.28 tff(35431,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35432,plain,
% 5.04/5.28 (((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))) <=> ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35433,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))))),
% 5.04/5.28 inference(monotonicity,[status(thm)],[35432])).
% 5.04/5.28 tff(35434,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.28 inference(transitivity,[status(thm)],[35433, 35431])).
% 5.04/5.28 tff(35435,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.28 inference(quant_inst,[status(thm)],[])).
% 5.04/5.28 tff(35436,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))),
% 5.04/5.28 inference(modus_ponens,[status(thm)],[35435, 35434])).
% 5.04/5.28 tff(35437,plain,
% 5.04/5.28 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35436, 338, 34789, 600, 30991, 11071])).
% 5.04/5.28 tff(35438,plain,
% 5.04/5.28 (~b(s(s(s(z))), s(z))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[3607, 486, 35396, 35401, 35397])).
% 5.04/5.28 tff(35439,plain,
% 5.04/5.28 (r(s(s(s(z))), s(z))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[437, 35438])).
% 5.04/5.28 tff(35440,plain,
% 5.04/5.28 (~r(s(s(s(z))), s(s(z)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[28755, 35407, 35439])).
% 5.04/5.28 tff(35441,plain,
% 5.04/5.28 (b(s(s(s(z))), s(s(z)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[639, 35440])).
% 5.04/5.28 tff(35442,plain,
% 5.04/5.28 (~b(z, s(s(z)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[25830, 35441, 35396, 35401, 35405])).
% 5.04/5.28 tff(35443,plain,
% 5.04/5.28 (r(z, s(s(z)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[563, 35442])).
% 5.04/5.28 tff(35444,plain,
% 5.04/5.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(z)))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35445,plain,
% 5.04/5.28 (((~r(z, s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, z))) <=> ((~r(z, z)) | (~r(z, s(s(z)))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35446,plain,
% 5.04/5.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, z)) | (~r(z, s(s(z))))))),
% 5.04/5.28 inference(monotonicity,[status(thm)],[35445])).
% 5.04/5.28 tff(35447,plain,
% 5.04/5.28 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, z)))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(z)))))),
% 5.04/5.28 inference(transitivity,[status(thm)],[35446, 35444])).
% 5.04/5.28 tff(35448,plain,
% 5.04/5.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, z)))),
% 5.04/5.28 inference(quant_inst,[status(thm)],[])).
% 5.04/5.28 tff(35449,plain,
% 5.04/5.28 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, z)) | (~r(z, s(s(z))))),
% 5.04/5.28 inference(modus_ponens,[status(thm)],[35448, 35447])).
% 5.04/5.28 tff(35450,plain,
% 5.04/5.28 (~r(z, z)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35449, 82, 35443])).
% 5.04/5.28 tff(35451,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35452,plain,
% 5.04/5.28 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35453,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 5.04/5.28 inference(monotonicity,[status(thm)],[35452])).
% 5.04/5.28 tff(35454,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.04/5.28 inference(transitivity,[status(thm)],[35453, 35451])).
% 5.04/5.28 tff(35455,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))),
% 5.04/5.28 inference(quant_inst,[status(thm)],[])).
% 5.04/5.28 tff(35456,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 5.04/5.28 inference(modus_ponens,[status(thm)],[35455, 35454])).
% 5.04/5.28 tff(35457,plain,
% 5.04/5.28 ($false),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35456, 338, 475, 651, 2911, 34789, 600])).
% 5.04/5.28 tff(35458,plain,((~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.28 tff(35459,plain,
% 5.04/5.28 (~b(s(s(z)), s(z))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35458, 600, 35395, 35399])).
% 5.04/5.28 tff(35460,plain,
% 5.04/5.28 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(z)), s(z))),
% 5.04/5.28 inference(monotonicity,[status(thm)],[10910, 35246])).
% 5.04/5.28 tff(35461,plain,
% 5.04/5.28 (b(s(s(z)), s(z)) <=> b(s(s(elem!1)), s(elem!1))),
% 5.04/5.28 inference(symmetry,[status(thm)],[35460])).
% 5.04/5.28 tff(35462,plain,
% 5.04/5.28 ((~b(s(s(z)), s(z))) <=> (~b(s(s(elem!1)), s(elem!1)))),
% 5.04/5.28 inference(monotonicity,[status(thm)],[35461])).
% 5.04/5.28 tff(35463,plain,
% 5.04/5.28 (~b(s(s(elem!1)), s(elem!1))),
% 5.04/5.28 inference(modus_ponens,[status(thm)],[467, 35462])).
% 5.04/5.28 tff(35464,plain,
% 5.04/5.28 (s(elem!1) = s(z)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[10916, 10910])).
% 5.04/5.28 tff(35465,plain,
% 5.04/5.28 (z = elem!1),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[1912, 35464])).
% 5.04/5.28 tff(35466,plain,
% 5.04/5.28 (elem!1 = z),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[2752, 35465])).
% 5.04/5.28 tff(35467,plain,
% 5.04/5.28 (~r(z, elem!1)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[10543, 35466, 10540])).
% 5.04/5.28 tff(35468,plain,
% 5.04/5.28 (~(s(s(elem!1)) = s(elem!1))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[22545, 35467, 140])).
% 5.04/5.28 tff(35469,plain,
% 5.04/5.28 (b(z, s(s(s(elem!1))))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[25711, 35466, 35156])).
% 5.04/5.28 tff(35470,plain,
% 5.04/5.28 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[4229, 35469, 721, 140])).
% 5.04/5.28 tff(35471,plain,
% 5.04/5.28 (~b(z, elem!1)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[1036, 35466])).
% 5.04/5.28 tff(35472,plain,
% 5.04/5.28 (r(s(s(s(s(elem!1)))), z)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[2848, 35465, 1122])).
% 5.04/5.28 tff(35473,plain,
% 5.04/5.28 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[5747, 35465, 1038])).
% 5.04/5.28 tff(35474,plain,
% 5.04/5.28 (~r(s(s(s(elem!1))), z)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[12936, 35473, 35472])).
% 5.04/5.28 tff(35475,plain,
% 5.04/5.28 (~r(s(s(s(elem!1))), elem!1)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[1316, 35474, 35465])).
% 5.04/5.28 tff(35476,plain,
% 5.04/5.28 (~(s(s(s(elem!1))) = elem!1)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[2149, 35469, 35471])).
% 5.04/5.28 tff(35477,plain,
% 5.04/5.28 (b(s(s(s(elem!1))), elem!1)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[2162, 35476, 35475])).
% 5.04/5.28 tff(35478,plain,
% 5.04/5.28 (~r(s(s(elem!1)), s(elem!1))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[23309, 35477, 35471, 140, 35467, 35470])).
% 5.04/5.28 tff(35479,plain,
% 5.04/5.28 (b(s(s(elem!1)), s(elem!1))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[277, 35478, 35468])).
% 5.04/5.28 tff(35480,plain,
% 5.04/5.28 ($false),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35479, 35463])).
% 5.04/5.28 tff(35481,plain,((~(s(s(elem!1)) = s(s(z)))) | b(s(s(z)), s(z)) | b(z, s(s(elem!1))) | (~r(s(z), s(s(elem!1)))) | r(z, z) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.28 tff(35482,plain,
% 5.04/5.28 (~(s(s(elem!1)) = s(s(z)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35481, 140, 467, 721, 10540, 1038, 1122])).
% 5.04/5.28 tff(35483,plain,
% 5.04/5.28 (b(s(s(elem!1)), s(s(z)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[22190, 35482, 18337])).
% 5.04/5.28 tff(35484,plain,
% 5.04/5.28 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[11555, 162, 1122])).
% 5.04/5.28 tff(35485,plain,
% 5.04/5.28 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[34886, 35484])).
% 5.04/5.28 tff(35486,plain,
% 5.04/5.28 ($false),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35436, 338, 34789, 600, 35485, 30991, 35483])).
% 5.04/5.28 tff(35487,plain,(b(z, s(s(elem!1))) | (~b(s(s(z)), s(s(s(s(z)))))) | r(s(s(elem!1)), s(s(z))) | b(s(s(z)), s(z)) | (~r(s(z), s(s(elem!1)))) | r(z, z) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.28 tff(35488,plain,
% 5.04/5.28 (b(z, s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35487, 600, 35430, 35459, 35429, 35450, 1038, 12174])).
% 5.04/5.28 tff(35489,plain,
% 5.04/5.28 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[13911, 35428, 35399])).
% 5.04/5.28 tff(35490,plain,
% 5.04/5.28 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[11454, 35489])).
% 5.04/5.28 tff(35491,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35492,plain,
% 5.04/5.28 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.28 inference(rewrite,[status(thm)],[])).
% 5.04/5.28 tff(35493,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))))),
% 5.04/5.28 inference(monotonicity,[status(thm)],[35492])).
% 5.04/5.28 tff(35494,plain,
% 5.04/5.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.04/5.28 inference(transitivity,[status(thm)],[35493, 35491])).
% 5.04/5.28 tff(35495,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.04/5.28 inference(quant_inst,[status(thm)],[])).
% 5.04/5.28 tff(35496,plain,
% 5.04/5.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))),
% 5.04/5.28 inference(modus_ponens,[status(thm)],[35495, 35494])).
% 5.04/5.28 tff(35497,plain,
% 5.04/5.28 (~b(s(s(z)), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35496, 338, 34789, 600, 30991, 11071])).
% 5.04/5.28 tff(35498,plain,
% 5.04/5.28 (b(s(s(z)), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 5.04/5.28 inference(monotonicity,[status(thm)],[869])).
% 5.04/5.28 tff(35499,plain,
% 5.04/5.28 (b(s(elem!1), s(s(elem!1))) <=> b(s(s(z)), s(s(elem!1)))),
% 5.04/5.28 inference(symmetry,[status(thm)],[35498])).
% 5.04/5.28 tff(35500,plain,
% 5.04/5.28 (b(s(elem!1), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[6759, 749, 476])).
% 5.04/5.28 tff(35501,plain,
% 5.04/5.28 (b(s(s(z)), s(s(elem!1)))),
% 5.04/5.28 inference(modus_ponens,[status(thm)],[35500, 35499])).
% 5.04/5.28 tff(35502,assumption,(~b(s(s(z)), s(s(elem!1)))), introduced(assumption)).
% 5.04/5.28 tff(35503,plain,
% 5.04/5.28 ($false),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35502, 35501])).
% 5.04/5.28 tff(35504,plain,((~(s(z) = elem!1)) | b(s(s(z)), s(s(elem!1))) | (~b(s(s(z)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.28 tff(35505,plain,
% 5.04/5.28 (~(s(z) = elem!1)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35504, 35497, 35405])).
% 5.04/5.28 tff(35506,plain,
% 5.04/5.28 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[1237, 35505])).
% 5.04/5.28 tff(35507,plain,
% 5.04/5.28 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[19136, 721, 35439])).
% 5.04/5.28 tff(35508,plain,
% 5.04/5.28 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[34886, 1267])).
% 5.04/5.28 tff(35509,plain,
% 5.04/5.28 ($false),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[13780, 82, 787, 1122, 10491])).
% 5.04/5.28 tff(35510,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.28 tff(35511,plain,
% 5.04/5.28 (~r(s(s(elem!1)), z)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[35510, 35508, 12174])).
% 5.04/5.28 tff(35512,plain,
% 5.04/5.28 (b(s(s(elem!1)), z)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[800, 35511])).
% 5.04/5.28 tff(35513,plain,
% 5.04/5.28 (r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[22431, 871, 35401, 35512, 35507, 8722])).
% 5.04/5.28 tff(35514,plain,
% 5.04/5.28 (~r(s(s(elem!1)), s(z))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[28843, 35513, 35403])).
% 5.04/5.28 tff(35515,plain,
% 5.04/5.28 (b(s(s(elem!1)), s(z))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[784, 35514])).
% 5.04/5.28 tff(35516,plain,
% 5.04/5.28 (~b(z, s(s(s(s(z)))))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[3815, 35399, 486, 35395, 35397])).
% 5.04/5.28 tff(35517,plain,
% 5.04/5.28 (r(z, s(s(s(s(z)))))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[391, 35516])).
% 5.04/5.28 tff(35518,plain,
% 5.04/5.28 (b(z, elem!1)),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[34306, 35515, 35397, 35399, 35512, 1267, 12173, 871, 35395, 35517, 714])).
% 5.04/5.28 tff(35519,plain,
% 5.04/5.28 (~(elem!1 = s(s(s(s(z)))))),
% 5.04/5.28 inference(unit_resolution,[status(thm)],[16535, 35518, 35516])).
% 5.04/5.28 tff(35520,plain,
% 5.04/5.28 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2444, 32764])).
% 5.04/5.29 tff(35521,plain,((~(s(s(s(s(z)))) = elem!1)) | (elem!1 = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35522,plain,
% 5.04/5.29 (~(s(s(s(s(z)))) = elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35521, 35519])).
% 5.04/5.29 tff(35523,plain,
% 5.04/5.29 (~(elem!1 = s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3464, 1130, 1267])).
% 5.04/5.29 tff(35524,plain,
% 5.04/5.29 (~r(s(z), elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[28953, 35523, 1122, 363, 1267, 719, 8722, 1021, 721])).
% 5.04/5.29 tff(35525,plain,
% 5.04/5.29 (b(s(z), elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[701, 35524, 691])).
% 5.04/5.29 tff(35526,plain,
% 5.04/5.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 5.04/5.29 inference(rewrite,[status(thm)],[])).
% 5.04/5.29 tff(35527,plain,
% 5.04/5.29 (((~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 5.04/5.29 inference(rewrite,[status(thm)],[])).
% 5.04/5.29 tff(35528,plain,
% 5.04/5.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35527])).
% 5.04/5.29 tff(35529,plain,
% 5.04/5.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1)))),
% 5.04/5.29 inference(transitivity,[status(thm)],[35528, 35526])).
% 5.04/5.29 tff(35530,plain,
% 5.04/5.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))),
% 5.04/5.29 inference(quant_inst,[status(thm)],[])).
% 5.04/5.29 tff(35531,plain,
% 5.04/5.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), elem!1))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35530, 35529])).
% 5.04/5.29 tff(35532,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35531, 338, 35525, 764, 651, 2911, 1130, 30991])).
% 5.04/5.29 tff(35533,plain,((~b(s(s(s(s(z)))), elem!1)) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (s(z) = elem!1) | (~r(s(s(s(s(z)))), z)) | (s(s(elem!1)) = s(s(s(s(z))))) | b(s(s(s(s(z)))), s(s(elem!1))) | (elem!1 = z) | (~b(z, s(s(elem!1)))) | (~b(z, elem!1)) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35534,plain,
% 5.04/5.29 (~b(s(s(s(s(z)))), elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35533, 35515, 35399, 35395, 20942, 12174, 363, 1267, 1619, 8722, 35518, 721])).
% 5.04/5.29 tff(35535,plain,
% 5.04/5.29 (r(s(s(s(s(z)))), elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1144, 35534, 35522])).
% 5.04/5.29 tff(35536,plain,
% 5.04/5.29 (~r(z, elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[5597, 35535, 12174])).
% 5.04/5.29 tff(35537,plain,
% 5.04/5.29 (elem!1 = s(s(elem!1))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[28963, 35536, 12174, 35397, 1267, 20942, 486, 363, 8722, 35515, 721, 1619])).
% 5.04/5.29 tff(35538,plain,
% 5.04/5.29 ((elem!1 = s(s(s(s(elem!1))))) <=> (s(s(elem!1)) = s(s(s(s(elem!1)))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35537])).
% 5.04/5.29 tff(35539,plain,
% 5.04/5.29 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 5.04/5.29 inference(symmetry,[status(thm)],[35538])).
% 5.04/5.29 tff(35540,plain,
% 5.04/5.29 ((s(s(elem!1)) = s(s(s(s(elem!1))))) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 5.04/5.29 inference(transitivity,[status(thm)],[35539, 5274])).
% 5.04/5.29 tff(35541,plain,
% 5.04/5.29 (s(s(s(elem!1))) = s(elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1418, 35537])).
% 5.04/5.29 tff(35542,plain,
% 5.04/5.29 (s(elem!1) = s(s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[217, 35541])).
% 5.04/5.29 tff(35543,plain,
% 5.04/5.29 (s(s(elem!1)) = s(s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3225, 35542])).
% 5.04/5.29 tff(35544,plain,
% 5.04/5.29 (s(s(s(s(elem!1)))) = elem!1),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35543, 35540])).
% 5.04/5.29 tff(35545,plain,
% 5.04/5.29 (~r(elem!1, s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1152, 35535, 1038])).
% 5.04/5.29 tff(35546,plain,
% 5.04/5.29 (b(s(s(s(z))), s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[6754, 871, 35507])).
% 5.04/5.29 tff(35547,plain,
% 5.04/5.29 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[25691, 35546, 35396, 35512, 35401])).
% 5.04/5.29 tff(35548,plain,
% 5.04/5.29 (~b(elem!1, s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3458, 35537, 35547])).
% 5.04/5.29 tff(35549,plain,
% 5.04/5.29 (elem!1 = s(s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1160, 35548, 35545])).
% 5.04/5.29 tff(35550,plain,
% 5.04/5.29 (s(s(s(z))) = elem!1),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[5482, 35549])).
% 5.04/5.29 tff(35551,plain,
% 5.04/5.29 (~(s(s(s(s(elem!1)))) = elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[15395, 35550])).
% 5.04/5.29 tff(35552,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35551, 35544])).
% 5.04/5.29 tff(35553,plain,((s(s(s(z))) = s(s(elem!1))) | b(s(s(s(s(z)))), s(s(elem!1))) | (~b(z, s(z))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(s(s(z)))), z) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35554,plain,
% 5.04/5.29 (z = elem!1),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35553, 35506, 486, 35490, 35488, 35429, 1038, 12173, 35437])).
% 5.04/5.29 tff(35555,plain,
% 5.04/5.29 (r(s(s(s(s(elem!1)))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2848, 35554, 12174])).
% 5.04/5.29 tff(35556,plain,
% 5.04/5.29 (r(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[5747, 35554, 1038])).
% 5.04/5.29 tff(35557,plain,
% 5.04/5.29 (~r(s(s(s(elem!1))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[12936, 35556, 35555])).
% 5.04/5.29 tff(35558,plain,
% 5.04/5.29 (b(s(s(s(elem!1))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1387, 35557])).
% 5.04/5.29 tff(35559,plain,
% 5.04/5.29 (elem!1 = z),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2752, 35554])).
% 5.04/5.29 tff(35560,plain,
% 5.04/5.29 (b(z, s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[25711, 35559, 35396])).
% 5.04/5.29 tff(35561,plain,
% 5.04/5.29 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[34886, 35437])).
% 5.04/5.29 tff(35562,plain,
% 5.04/5.29 (~r(s(s(elem!1)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35510, 35561, 12174])).
% 5.04/5.29 tff(35563,plain,
% 5.04/5.29 (b(s(s(elem!1)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[800, 35562])).
% 5.04/5.29 tff(35564,plain,
% 5.04/5.29 (~b(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[29694, 35559, 35401, 35488, 35563, 35396])).
% 5.04/5.29 tff(35565,plain,
% 5.04/5.29 (~b(z, elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1036, 35559])).
% 5.04/5.29 tff(35566,plain,
% 5.04/5.29 (~(s(s(s(elem!1))) = elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2149, 35560, 35565])).
% 5.04/5.29 tff(35567,plain,
% 5.04/5.29 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1287, 35566])).
% 5.04/5.29 tff(35568,plain,
% 5.04/5.29 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1292, 35567, 35564])).
% 5.04/5.29 tff(35569,plain,
% 5.04/5.29 (~r(s(s(s(elem!1))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[4215, 35568, 35429])).
% 5.04/5.29 tff(35570,plain,
% 5.04/5.29 (~r(s(z), s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[4223, 35568, 35429])).
% 5.04/5.29 tff(35571,plain,
% 5.04/5.29 (b(s(z), s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1870, 35570])).
% 5.04/5.29 tff(35572,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1888, 35571, 35569, 35397, 35560, 35558])).
% 5.04/5.29 tff(35573,plain,((~b(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | b(s(s(s(s(z)))), z) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35574,plain,
% 5.04/5.29 (~b(s(s(elem!1)), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35573, 600, 486, 12173, 1038])).
% 5.04/5.29 tff(35575,plain,
% 5.04/5.29 (s(s(elem!1)) = s(s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[22190, 35574, 35430])).
% 5.04/5.29 tff(35576,plain,
% 5.04/5.29 (b(z, s(s(elem!1))) <=> b(z, s(s(z)))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35575])).
% 5.04/5.29 tff(35577,plain,
% 5.04/5.29 (b(z, s(s(z))) <=> b(z, s(s(elem!1)))),
% 5.04/5.29 inference(symmetry,[status(thm)],[35576])).
% 5.04/5.29 tff(35578,plain,
% 5.04/5.29 ((~b(z, s(s(z)))) <=> (~b(z, s(s(elem!1))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35577])).
% 5.04/5.29 tff(35579,plain,
% 5.04/5.29 (~b(z, s(s(elem!1)))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35442, 35578])).
% 5.04/5.29 tff(35580,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35488, 35579])).
% 5.04/5.29 tff(35581,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(z))) | b(s(s(s(s(z)))), z) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35582,plain,
% 5.04/5.29 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35581, 486, 12173, 1038])).
% 5.04/5.29 tff(35583,plain,
% 5.04/5.29 (r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31474, 35582])).
% 5.04/5.29 tff(35584,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[18554, 82, 35443, 35517, 35583])).
% 5.04/5.29 tff(35585,plain,((~b(z, s(z))) | b(s(s(s(s(z)))), z) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35586,plain,
% 5.04/5.29 (~b(z, s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35585, 1038, 12173])).
% 5.04/5.29 tff(35587,plain,
% 5.04/5.29 (r(z, s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[403, 35586])).
% 5.04/5.29 tff(35588,plain,
% 5.04/5.29 (~r(s(s(s(s(z)))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35393, 1038, 1122])).
% 5.04/5.29 tff(35589,plain,
% 5.04/5.29 (b(s(s(s(s(z)))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[119, 35588])).
% 5.04/5.29 tff(35590,plain,
% 5.04/5.29 (~b(z, s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[30112, 34797, 34789, 1038, 16673, 10725])).
% 5.04/5.29 tff(35591,plain,
% 5.04/5.29 (r(z, s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[563, 35590])).
% 5.04/5.29 tff(35592,plain,
% 5.04/5.29 (~r(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2514, 35591, 1731])).
% 5.04/5.29 tff(35593,plain,
% 5.04/5.29 (b(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[472, 35592])).
% 5.04/5.29 tff(35594,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[30456, 338, 35390, 35593, 34797, 34799, 35589, 34789])).
% 5.04/5.29 tff(35595,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35596,plain,
% 5.04/5.29 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35595, 72, 1038, 1731, 1122])).
% 5.04/5.29 tff(35597,plain,
% 5.04/5.29 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31474, 35596])).
% 5.04/5.29 tff(35598,plain,
% 5.04/5.29 (~b(s(s(z)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[30112, 601, 34789, 1038, 555, 1741])).
% 5.04/5.29 tff(35599,plain,
% 5.04/5.29 (r(s(s(z)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[956, 35598])).
% 5.04/5.29 tff(35600,plain,
% 5.04/5.29 (~r(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[29921, 35599, 1731])).
% 5.04/5.29 tff(35601,plain,
% 5.04/5.29 (b(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[472, 35600])).
% 5.04/5.29 tff(35602,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[29931, 338, 601, 35601, 2911, 34789, 600, 555])).
% 5.04/5.29 tff(35603,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35604,plain,
% 5.04/5.29 (~b(z, s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35603, 35597, 35589, 16673, 1731, 1038, 10725])).
% 5.04/5.29 tff(35605,plain,
% 5.04/5.29 (r(z, s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[563, 35604])).
% 5.04/5.29 tff(35606,plain,
% 5.04/5.29 (~r(s(z), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2492, 35605, 1731])).
% 5.04/5.29 tff(35607,plain,
% 5.04/5.29 (b(s(z), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[455, 35606])).
% 5.04/5.29 tff(35608,plain,
% 5.04/5.29 (~r(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2514, 35605, 1731])).
% 5.04/5.29 tff(35609,plain,
% 5.04/5.29 (b(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[472, 35608])).
% 5.04/5.29 tff(35610,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[20921, 338, 35609, 35607, 35589, 34789, 35597])).
% 5.04/5.29 tff(35611,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35612,plain,
% 5.04/5.29 (~r(s(z), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35611, 35587, 1038, 12174])).
% 5.04/5.29 tff(35613,plain,
% 5.04/5.29 (b(s(z), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[106, 35612])).
% 5.04/5.29 tff(35614,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2919, 11068, 11070, 34789, 651, 2911])).
% 5.04/5.29 tff(35615,plain,((~r(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35616,plain,
% 5.04/5.29 (~r(z, s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35615, 35613, 35395, 35587])).
% 5.04/5.29 tff(35617,plain,
% 5.04/5.29 (b(z, s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[563, 35616])).
% 5.04/5.29 tff(35618,plain,
% 5.04/5.29 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[30679, 3893, 1122])).
% 5.04/5.29 tff(35619,plain,
% 5.04/5.29 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31474, 35618])).
% 5.04/5.29 tff(35620,plain,
% 5.04/5.29 (~r(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[29921, 3893, 1731])).
% 5.04/5.29 tff(35621,plain,
% 5.04/5.29 (b(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[472, 35620])).
% 5.04/5.29 tff(35622,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35458, 35621, 35619, 2911, 651])).
% 5.04/5.29 tff(35623,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35624,plain,
% 5.04/5.29 (~r(s(s(z)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35623, 35395, 35613, 35587, 12174])).
% 5.04/5.29 tff(35625,plain,
% 5.04/5.29 (b(s(s(z)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[956, 35624])).
% 5.04/5.29 tff(35626,plain,
% 5.04/5.29 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[30345, 35625, 35396, 35401, 35617])).
% 5.04/5.29 tff(35627,plain,
% 5.04/5.29 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[639, 35626])).
% 5.04/5.29 tff(35628,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[28388, 82, 911, 575, 2464])).
% 5.04/5.29 tff(35629,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35630,plain,
% 5.04/5.29 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35629, 2464, 575])).
% 5.04/5.29 tff(35631,plain,
% 5.04/5.29 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[689, 35630])).
% 5.04/5.29 tff(35632,plain,
% 5.04/5.29 (~b(s(s(s(z))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[12548, 35631, 1122, 1731, 651, 2911, 35156])).
% 5.04/5.29 tff(35633,plain,
% 5.04/5.29 (r(s(s(s(z))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[437, 35632])).
% 5.04/5.29 tff(35634,plain,
% 5.04/5.29 (~b(s(z), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2939, 35633, 34789, 1731, 651])).
% 5.04/5.29 tff(35635,plain,
% 5.04/5.29 (~r(s(z), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[28755, 35633, 2464])).
% 5.04/5.29 tff(35636,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[455, 35635, 35634])).
% 5.04/5.29 tff(35637,plain,((~r(s(s(s(z))), s(s(z)))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35638,plain,
% 5.04/5.29 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35637, 35627, 35613, 12174, 35395, 35587])).
% 5.04/5.29 tff(35639,plain,
% 5.04/5.29 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31474, 35638])).
% 5.04/5.29 tff(35640,plain,
% 5.04/5.29 (~r(s(s(s(z))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[28755, 2464, 70])).
% 5.04/5.29 tff(35641,plain,
% 5.04/5.29 (b(s(s(s(z))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[437, 35640])).
% 5.04/5.29 tff(35642,plain,
% 5.04/5.29 (~r(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[30721, 82, 70, 2464])).
% 5.04/5.29 tff(35643,plain,
% 5.04/5.29 (b(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[424, 35642])).
% 5.04/5.29 tff(35644,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[24458, 338, 35643, 1741, 1740, 3348, 35641])).
% 5.04/5.29 tff(35645,plain,((~r(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35646,plain,
% 5.04/5.29 (~r(s(z), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35645, 35627, 35397, 35396, 35401])).
% 5.04/5.29 tff(35647,plain,
% 5.04/5.29 (b(s(z), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[455, 35646])).
% 5.04/5.29 tff(35648,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[5800, 35647, 35639, 34789, 35613, 35395])).
% 5.04/5.29 tff(35649,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35650,plain,
% 5.04/5.29 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35649, 12173])).
% 5.04/5.29 tff(35651,plain,
% 5.04/5.29 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1011, 35650])).
% 5.04/5.29 tff(35652,plain,
% 5.04/5.29 (~r(z, s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[14739, 108, 12174])).
% 5.04/5.29 tff(35653,plain,
% 5.04/5.29 (b(z, s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[403, 35652])).
% 5.04/5.29 tff(35654,plain,
% 5.04/5.29 (~r(s(z), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[11562, 108, 12174])).
% 5.04/5.29 tff(35655,plain,
% 5.04/5.29 (b(s(z), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[26, 35654])).
% 5.04/5.29 tff(35656,plain,
% 5.04/5.29 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[15221, 16950, 12174, 35655, 35653])).
% 5.04/5.29 tff(35657,plain,
% 5.04/5.29 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[689, 35656])).
% 5.04/5.29 tff(35658,plain,
% 5.04/5.29 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[34803, 16950, 35653, 35655, 12174])).
% 5.04/5.29 tff(35659,plain,
% 5.04/5.29 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31474, 35658])).
% 5.04/5.29 tff(35660,plain,
% 5.04/5.29 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[13638, 35659, 34789, 35651, 35657])).
% 5.04/5.29 tff(35661,plain,
% 5.04/5.29 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[534, 35660])).
% 5.04/5.29 tff(35662,plain,
% 5.04/5.29 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[34840, 35659, 35651, 35657])).
% 5.04/5.29 tff(35663,plain,
% 5.04/5.29 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[639, 35662])).
% 5.04/5.29 tff(35664,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[34561, 82, 427, 459, 2464])).
% 5.04/5.29 tff(35665,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(z))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35666,plain,
% 5.04/5.29 (~r(s(s(s(z))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35665, 459, 2464])).
% 5.04/5.29 tff(35667,plain,
% 5.04/5.29 (b(s(s(s(z))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[437, 35666])).
% 5.04/5.29 tff(35668,plain,
% 5.04/5.29 (~b(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3356, 35667, 3348, 1740, 486])).
% 5.04/5.29 tff(35669,plain,
% 5.04/5.29 (r(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[424, 35668])).
% 5.04/5.29 tff(35670,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3882, 82, 487, 35669, 459])).
% 5.04/5.29 tff(35671,plain,((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(s(s(s(z))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35672,plain,
% 5.04/5.29 (~r(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35671, 35661, 35396, 35655, 35653, 35663])).
% 5.04/5.29 tff(35673,plain,
% 5.04/5.29 (b(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[472, 35672])).
% 5.04/5.29 tff(35674,plain,
% 5.04/5.29 (~r(s(s(z)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[29071, 426, 487])).
% 5.04/5.29 tff(35675,plain,
% 5.04/5.29 (b(s(s(z)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[956, 35674])).
% 5.04/5.29 tff(35676,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[646, 82, 426, 556, 2464])).
% 5.04/5.29 tff(35677,plain,((~r(z, s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35678,plain,
% 5.04/5.29 (~r(z, s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35677, 426, 2464])).
% 5.04/5.29 tff(35679,plain,
% 5.04/5.29 (b(z, s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[563, 35678])).
% 5.04/5.29 tff(35680,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31948, 35679, 35675, 1740, 486, 475])).
% 5.04/5.29 tff(35681,plain,((~r(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(z)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35682,plain,
% 5.04/5.29 (~r(s(s(s(z))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35681, 35673, 35653, 35655, 35663, 35661])).
% 5.04/5.29 tff(35683,plain,
% 5.04/5.29 (b(s(s(s(z))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[135, 35682])).
% 5.04/5.29 tff(35684,plain,
% 5.04/5.29 (~b(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3859, 35683, 35396, 35655, 35653])).
% 5.04/5.29 tff(35685,plain,
% 5.04/5.29 (r(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[424, 35684])).
% 5.04/5.29 tff(35686,plain,
% 5.04/5.29 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[15221, 72, 1122, 24363, 14755])).
% 5.04/5.29 tff(35687,plain,
% 5.04/5.29 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[689, 35686])).
% 5.04/5.29 tff(35688,plain,
% 5.04/5.29 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31408, 35485, 987, 35687])).
% 5.04/5.29 tff(35689,plain,
% 5.04/5.29 (b(z, s(s(elem!1)))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[3348, 16889])).
% 5.04/5.29 tff(35690,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[140, 35689])).
% 5.04/5.29 tff(35691,plain,((~(s(s(elem!1)) = s(s(s(z))))) | b(z, s(s(elem!1))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35692,plain,
% 5.04/5.29 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35691, 140, 35156])).
% 5.04/5.29 tff(35693,plain,
% 5.04/5.29 (r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[6881, 35692, 35688])).
% 5.04/5.29 tff(35694,plain,
% 5.04/5.29 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[34803, 72, 14755, 24363, 1122])).
% 5.04/5.29 tff(35695,plain,
% 5.04/5.29 (b(s(s(z)), s(s(s(s(z)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31474, 35694])).
% 5.04/5.29 tff(35696,plain,
% 5.04/5.29 (~b(s(s(z)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[13638, 35695, 34789, 987, 35687])).
% 5.04/5.29 tff(35697,plain,
% 5.04/5.29 (r(s(s(z)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[534, 35696])).
% 5.04/5.29 tff(35698,plain,
% 5.04/5.29 (~b(s(s(s(z))), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[34840, 35695, 987, 35687])).
% 5.04/5.29 tff(35699,plain,
% 5.04/5.29 (r(s(s(s(z))), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[639, 35698])).
% 5.04/5.29 tff(35700,plain,
% 5.04/5.29 (~r(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35671, 35697, 35156, 24363, 14755, 35699])).
% 5.04/5.29 tff(35701,plain,
% 5.04/5.29 (b(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[472, 35700])).
% 5.04/5.29 tff(35702,plain,
% 5.04/5.29 (~r(s(s(s(z))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35681, 35701, 14755, 24363, 35699, 35697])).
% 5.04/5.29 tff(35703,plain,
% 5.04/5.29 (b(s(s(s(z))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[135, 35702])).
% 5.04/5.29 tff(35704,plain,
% 5.04/5.29 (~r(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[21929, 108, 72, 70])).
% 5.04/5.29 tff(35705,plain,
% 5.04/5.29 (b(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[424, 35704])).
% 5.04/5.29 tff(35706,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3859, 35705, 14755, 1741, 3348, 1740])).
% 5.04/5.29 tff(35707,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35708,plain,
% 5.04/5.29 (~r(s(z), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35707, 35703, 35156, 108, 24363, 72, 1122])).
% 5.04/5.29 tff(35709,plain,
% 5.04/5.29 (b(s(z), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[455, 35708])).
% 5.04/5.29 tff(35710,plain,
% 5.04/5.29 (~b(s(s(s(z))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[30307, 35703, 1122, 35156, 108])).
% 5.04/5.29 tff(35711,plain,
% 5.04/5.29 (r(s(s(s(z))), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[437, 35710])).
% 5.04/5.29 tff(35712,plain,
% 5.04/5.29 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[31408, 3484, 987, 539])).
% 5.04/5.29 tff(35713,plain,
% 5.04/5.29 (~r(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35671, 487, 3348, 1740, 486, 2464])).
% 5.04/5.29 tff(35714,plain,
% 5.04/5.29 (b(s(s(z)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[472, 35713])).
% 5.04/5.29 tff(35715,plain,
% 5.04/5.29 (~r(s(s(s(z))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35681, 35714, 486, 1740, 2464, 487])).
% 5.04/5.29 tff(35716,plain,
% 5.04/5.29 (b(s(s(s(z))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[135, 35715])).
% 5.04/5.29 tff(35717,plain,
% 5.04/5.29 (~b(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3859, 35716, 3348, 1740, 486])).
% 5.04/5.29 tff(35718,plain,
% 5.04/5.29 (r(s(z), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[424, 35717])).
% 5.04/5.29 tff(35719,plain,
% 5.04/5.29 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[25678, 6520, 35718])).
% 5.04/5.29 tff(35720,plain,
% 5.04/5.29 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1207, 35719])).
% 5.04/5.29 tff(35721,plain,
% 5.04/5.29 (r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[6881, 35720, 35712])).
% 5.04/5.29 tff(35722,plain,
% 5.04/5.29 (~r(s(s(elem!1)), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[17012, 35721, 487])).
% 5.04/5.29 tff(35723,plain,
% 5.04/5.29 (~r(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[28843, 406, 786])).
% 5.04/5.29 tff(35724,plain,
% 5.04/5.29 (b(s(s(elem!1)), s(s(s(z))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[6881, 35723, 6879])).
% 5.04/5.29 tff(35725,plain,
% 5.04/5.29 ($false),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[11402, 26542, 35724, 987, 3484, 3253])).
% 5.04/5.29 tff(35726,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.29 tff(35727,plain,
% 5.04/5.29 ((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35726, 30991])).
% 5.04/5.29 tff(35728,plain,
% 5.04/5.29 (~r(s(s(elem!1)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[35727, 35720, 72, 987, 35718, 3484])).
% 5.04/5.29 tff(35729,plain,
% 5.04/5.29 (b(s(s(elem!1)), s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[784, 35728])).
% 5.04/5.29 tff(35730,plain,
% 5.04/5.29 (~b(s(s(elem!1)), s(s(z)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[11079, 35729, 6521, 474, 35714])).
% 5.04/5.29 tff(35731,plain,
% 5.04/5.29 (s(s(elem!1)) = s(s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[22190, 35730, 35722])).
% 5.04/5.29 tff(35732,plain,
% 5.04/5.29 (s(elem!1) = s(z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[10916, 35731])).
% 5.04/5.29 tff(35733,plain,
% 5.04/5.29 (z = elem!1),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1912, 35732])).
% 5.04/5.29 tff(35734,plain,
% 5.04/5.29 ((s(s(s(s(elem!1)))) = z) <=> (s(s(s(s(elem!1)))) = elem!1)),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35733])).
% 5.04/5.29 tff(35735,plain,
% 5.04/5.29 ((s(s(s(s(elem!1)))) = z) <=> (elem!1 = s(s(s(s(elem!1)))))),
% 5.04/5.29 inference(transitivity,[status(thm)],[35734, 2831])).
% 5.04/5.29 tff(35736,plain,
% 5.04/5.29 ((~(s(s(s(s(elem!1)))) = z)) <=> (~(elem!1 = s(s(s(s(elem!1))))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35735])).
% 5.04/5.29 tff(35737,plain,
% 5.04/5.29 (~(elem!1 = s(s(s(s(elem!1)))))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[1633, 35736])).
% 5.04/5.29 tff(35738,plain,
% 5.04/5.29 (~(s(s(elem!1)) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[6043, 35737])).
% 5.04/5.29 tff(35739,plain,
% 5.04/5.29 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35733])).
% 5.04/5.29 tff(35740,plain,
% 5.04/5.29 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.29 inference(transitivity,[status(thm)],[35739, 5922])).
% 5.04/5.29 tff(35741,plain,
% 5.04/5.29 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(elem!1 = s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35740])).
% 5.04/5.29 tff(35742,plain,
% 5.04/5.29 (~(elem!1 = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[5929, 35741])).
% 5.04/5.29 tff(35743,plain,
% 5.04/5.29 (elem!1 = z),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2752, 35733])).
% 5.04/5.29 tff(35744,plain,
% 5.04/5.29 (~b(z, elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1036, 35743])).
% 5.04/5.29 tff(35745,plain,
% 5.04/5.29 (b(z, s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[25711, 35743, 3348])).
% 5.04/5.29 tff(35746,plain,
% 5.04/5.29 (~(s(s(s(elem!1))) = elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2149, 35745, 35744])).
% 5.04/5.29 tff(35747,plain,
% 5.04/5.29 (~b(s(s(elem!1)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[6963, 35729, 1740, 486, 6521])).
% 5.04/5.29 tff(35748,plain,
% 5.04/5.29 (r(s(s(elem!1)), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[800, 35747])).
% 5.04/5.29 tff(35749,plain,
% 5.04/5.29 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[7335, 35743, 487])).
% 5.04/5.29 tff(35750,plain,
% 5.04/5.29 (~r(s(s(s(elem!1))), z)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[8996, 35749, 35748])).
% 5.04/5.29 tff(35751,plain,
% 5.04/5.29 (~r(s(s(s(elem!1))), elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1316, 35750, 35733])).
% 5.04/5.29 tff(35752,plain,
% 5.04/5.29 (b(s(s(s(elem!1))), elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2162, 35751, 35746])).
% 5.04/5.29 tff(35753,plain,
% 5.04/5.29 ((s(s(s(s(s(s(elem!1)))))) = z) <=> (s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.29 inference(transitivity,[status(thm)],[35740, 5923])).
% 5.04/5.29 tff(35754,plain,
% 5.04/5.29 ((~(s(s(s(s(s(s(elem!1)))))) = z)) <=> (~(s(s(s(s(s(s(elem!1)))))) = elem!1))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35753])).
% 5.04/5.29 tff(35755,plain,
% 5.04/5.29 (~(s(s(s(s(s(s(elem!1)))))) = elem!1)),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[5929, 35754])).
% 5.04/5.29 tff(35756,plain,
% 5.04/5.29 (~(elem!1 = s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1924, 35746])).
% 5.04/5.29 tff(35757,plain,
% 5.04/5.29 (~r(z, s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[7217, 35749, 35748])).
% 5.04/5.29 tff(35758,plain,
% 5.04/5.29 (~r(elem!1, s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2802, 35757, 35743])).
% 5.04/5.29 tff(35759,plain,
% 5.04/5.29 (b(elem!1, s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1946, 35758, 35756])).
% 5.04/5.29 tff(35760,plain,
% 5.04/5.29 (r(s(s(elem!1)), z) <=> r(s(s(elem!1)), elem!1)),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35733])).
% 5.04/5.29 tff(35761,plain,
% 5.04/5.29 (r(s(s(elem!1)), elem!1)),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35748, 35760])).
% 5.04/5.29 tff(35762,plain,
% 5.04/5.29 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[1336, 35746])).
% 5.04/5.29 tff(35763,plain,
% 5.04/5.29 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[5699, 35762])).
% 5.04/5.29 tff(35764,plain,
% 5.04/5.29 (s(z) = s(elem!1)),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35733])).
% 5.04/5.29 tff(35765,plain,
% 5.04/5.29 (s(s(z)) = s(s(elem!1))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35764])).
% 5.04/5.29 tff(35766,plain,
% 5.04/5.29 (s(s(s(z))) = s(s(s(elem!1)))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35765])).
% 5.04/5.29 tff(35767,plain,
% 5.04/5.29 (r(s(elem!1), s(s(s(z)))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35766])).
% 5.04/5.29 tff(35768,plain,
% 5.04/5.29 (r(s(z), s(s(s(z)))) <=> r(s(elem!1), s(s(s(z))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35764])).
% 5.04/5.29 tff(35769,plain,
% 5.04/5.29 (r(s(elem!1), s(s(s(z))))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35718, 35768])).
% 5.04/5.29 tff(35770,plain,
% 5.04/5.29 (r(s(elem!1), s(s(s(elem!1))))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35769, 35767])).
% 5.04/5.29 tff(35771,plain,
% 5.04/5.29 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35764])).
% 5.04/5.29 tff(35772,plain,
% 5.04/5.29 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 5.04/5.29 inference(transitivity,[status(thm)],[35771, 17522])).
% 5.04/5.29 tff(35773,plain,
% 5.04/5.29 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1)))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35772])).
% 5.04/5.29 tff(35774,plain,
% 5.04/5.29 (~(s(s(s(s(s(s(elem!1)))))) = s(elem!1))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[6121, 35773])).
% 5.04/5.29 tff(35775,plain,
% 5.04/5.29 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35764])).
% 5.04/5.29 tff(35776,plain,
% 5.04/5.29 (b(s(z), elem!1)),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[3104, 35743, 1740])).
% 5.04/5.29 tff(35777,plain,
% 5.04/5.29 (b(s(elem!1), elem!1)),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35776, 35775])).
% 5.04/5.29 tff(35778,plain,
% 5.04/5.29 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35764])).
% 5.04/5.29 tff(35779,plain,
% 5.04/5.29 (b(elem!1, s(z))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[2787, 35733, 486])).
% 5.04/5.29 tff(35780,plain,
% 5.04/5.29 (b(elem!1, s(elem!1))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35779, 35778])).
% 5.04/5.29 tff(35781,plain,
% 5.04/5.29 (r(z, s(s(elem!1))) <=> r(elem!1, s(s(elem!1)))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35733])).
% 5.04/5.29 tff(35782,plain,
% 5.04/5.29 (r(elem!1, s(s(elem!1)))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[165, 35781])).
% 5.04/5.29 tff(35783,plain,
% 5.04/5.29 (b(s(z), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35764])).
% 5.04/5.29 tff(35784,plain,
% 5.04/5.29 (b(s(elem!1), s(s(elem!1)))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[6521, 35783])).
% 5.04/5.29 tff(35785,plain,
% 5.04/5.29 ((s(z) = s(s(s(s(s(s(elem!1))))))) <=> (s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.29 inference(transitivity,[status(thm)],[35772, 17531])).
% 5.04/5.29 tff(35786,plain,
% 5.04/5.29 ((~(s(z) = s(s(s(s(s(s(elem!1)))))))) <=> (~(s(elem!1) = s(s(s(s(s(s(elem!1))))))))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35785])).
% 5.04/5.29 tff(35787,plain,
% 5.04/5.29 (~(s(elem!1) = s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[6121, 35786])).
% 5.04/5.29 tff(35788,plain,
% 5.04/5.29 (~r(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[23001, 35787, 35784, 35738, 35742, 35782, 35761, 35780, 35777, 35774, 35770])).
% 5.04/5.29 tff(35789,plain,
% 5.04/5.29 (b(s(s(s(s(s(s(elem!1)))))), s(s(s(elem!1))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[17558, 35788, 35763])).
% 5.04/5.29 tff(35790,plain,
% 5.04/5.29 (~r(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[25783, 35789, 35761, 35759, 35755, 35752, 35742])).
% 5.04/5.29 tff(35791,plain,
% 5.04/5.29 (~(s(s(s(s(s(s(elem!1)))))) = s(s(elem!1)))),
% 5.04/5.29 inference(unit_resolution,[status(thm)],[6051, 35738])).
% 5.04/5.29 tff(35792,plain,
% 5.04/5.29 (s(s(s(elem!1))) = s(s(s(z)))),
% 5.04/5.29 inference(symmetry,[status(thm)],[35766])).
% 5.04/5.29 tff(35793,plain,
% 5.04/5.29 (r(s(s(s(elem!1))), s(s(elem!1))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35792])).
% 5.04/5.29 tff(35794,plain,
% 5.04/5.29 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.29 inference(symmetry,[status(thm)],[35793])).
% 5.04/5.29 tff(35795,plain,
% 5.04/5.29 (r(s(s(s(z))), s(s(z))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 5.04/5.29 inference(monotonicity,[status(thm)],[35765])).
% 5.04/5.29 tff(35796,plain,
% 5.04/5.29 (r(s(s(s(z))), s(s(elem!1)))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[2464, 35795])).
% 5.04/5.29 tff(35797,plain,
% 5.04/5.29 (r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.04/5.29 inference(modus_ponens,[status(thm)],[35796, 35794])).
% 5.04/5.29 tff(35798,plain,
% 5.04/5.30 (~r(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 5.04/5.30 inference(unit_resolution,[status(thm)],[25968, 35782, 35797, 35755, 35752, 35763, 35759, 35742])).
% 5.04/5.30 tff(35799,plain,
% 5.04/5.30 (b(s(s(s(s(s(s(elem!1)))))), s(s(elem!1)))),
% 5.04/5.30 inference(unit_resolution,[status(thm)],[6063, 35798, 35791])).
% 5.04/5.30 tff(35800,plain,
% 5.04/5.30 (b(s(s(elem!1)), s(z)) <=> b(s(s(elem!1)), s(elem!1))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35764])).
% 5.04/5.30 tff(35801,plain,
% 5.04/5.30 (b(s(s(elem!1)), s(elem!1))),
% 5.04/5.30 inference(modus_ponens,[status(thm)],[35729, 35800])).
% 5.04/5.30 tff(35802,plain,
% 5.04/5.30 (s(s(s(s(z)))) = s(s(s(s(elem!1))))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35766])).
% 5.04/5.30 tff(35803,plain,
% 5.04/5.30 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 5.04/5.30 inference(symmetry,[status(thm)],[35802])).
% 5.04/5.30 tff(35804,plain,
% 5.04/5.30 (b(s(s(s(s(elem!1)))), s(s(s(elem!1)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35803])).
% 5.04/5.30 tff(35805,plain,
% 5.04/5.30 (b(s(s(s(s(z)))), s(s(s(elem!1)))) <=> b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 5.04/5.30 inference(symmetry,[status(thm)],[35804])).
% 5.04/5.30 tff(35806,plain,
% 5.04/5.30 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35766])).
% 5.04/5.30 tff(35807,plain,
% 5.04/5.30 (b(s(s(s(s(z)))), s(s(s(elem!1))))),
% 5.04/5.30 inference(modus_ponens,[status(thm)],[987, 35806])).
% 5.04/5.30 tff(35808,plain,
% 5.04/5.30 (b(s(s(s(s(elem!1)))), s(s(s(elem!1))))),
% 5.04/5.30 inference(modus_ponens,[status(thm)],[35807, 35805])).
% 5.04/5.30 tff(35809,plain,
% 5.04/5.30 (b(s(s(s(elem!1))), s(s(s(s(elem!1))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35803])).
% 5.04/5.30 tff(35810,plain,
% 5.04/5.30 (b(s(s(s(elem!1))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 5.04/5.30 inference(symmetry,[status(thm)],[35809])).
% 5.04/5.30 tff(35811,plain,
% 5.04/5.30 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35766])).
% 5.04/5.30 tff(35812,plain,
% 5.04/5.30 (b(s(s(s(elem!1))), s(s(s(s(z)))))),
% 5.04/5.30 inference(modus_ponens,[status(thm)],[539, 35811])).
% 5.04/5.30 tff(35813,plain,
% 5.04/5.30 (b(s(s(s(elem!1))), s(s(s(s(elem!1)))))),
% 5.04/5.30 inference(modus_ponens,[status(thm)],[35812, 35810])).
% 5.04/5.30 tff(35814,plain,
% 5.04/5.30 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(z))))),
% 5.04/5.30 inference(unit_resolution,[status(thm)],[23277, 35733])).
% 5.04/5.30 tff(35815,plain,
% 5.04/5.30 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35766, 35764])).
% 5.04/5.30 tff(35816,plain,
% 5.04/5.30 (r(s(s(s(elem!1))), s(elem!1))),
% 5.04/5.30 inference(modus_ponens,[status(thm)],[427, 35815])).
% 5.04/5.30 tff(35817,plain,
% 5.04/5.30 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(elem!1)))), s(elem!1))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35802])).
% 5.04/5.30 tff(35818,plain,
% 5.04/5.30 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), s(elem!1))),
% 5.04/5.30 inference(monotonicity,[status(thm)],[35764])).
% 5.04/5.30 tff(35819,plain,
% 5.04/5.30 (r(s(s(s(s(z)))), s(elem!1))),
% 5.04/5.30 inference(modus_ponens,[status(thm)],[108, 35818])).
% 5.04/5.30 tff(35820,plain,
% 5.04/5.30 (r(s(s(s(s(elem!1)))), s(elem!1))),
% 5.04/5.30 inference(modus_ponens,[status(thm)],[35819, 35817])).
% 5.04/5.30 tff(35821,plain,
% 5.04/5.30 (~r(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 5.04/5.30 inference(unit_resolution,[status(thm)],[8167, 35820, 35733, 35816, 35814, 35813, 35808])).
% 5.04/5.30 tff(35822,plain,
% 5.04/5.30 (b(s(s(s(s(s(s(elem!1)))))), s(elem!1))),
% 5.04/5.30 inference(unit_resolution,[status(thm)],[17602, 35821, 35774])).
% 5.04/5.30 tff(35823,plain,
% 5.04/5.30 (~b(s(s(elem!1)), s(s(s(s(s(s(elem!1)))))))),
% 5.04/5.30 inference(unit_resolution,[status(thm)],[17611, 35822, 35784, 35801, 35799])).
% 5.04/5.30 tff(35824,plain,
% 5.04/5.30 ($false),
% 5.04/5.30 inference(unit_resolution,[status(thm)],[6226, 35823, 35790, 35738])).
% 5.04/5.30 tff(35825,plain,(r(s(z), s(s(elem!1))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 5.04/5.30 tff(35826,plain,
% 5.04/5.30 (r(s(z), s(s(elem!1)))),
% 5.04/5.30 inference(unit_resolution,[status(thm)],[35825, 162, 35687, 987, 35699, 108, 35711, 35697, 24363, 35156, 14755, 35709, 72, 35485])).
% 5.14/5.30 tff(35827,plain,
% 5.14/5.30 (~b(s(z), s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[3859, 35703, 35156, 24363, 14755])).
% 5.14/5.30 tff(35828,plain,
% 5.14/5.30 (r(s(z), s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[424, 35827])).
% 5.14/5.30 tff(35829,plain,
% 5.14/5.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35830,plain,
% 5.14/5.30 (((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1))))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35831,plain,
% 5.14/5.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(z)))))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35830])).
% 5.14/5.30 tff(35832,plain,
% 5.14/5.30 (((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 5.14/5.30 inference(transitivity,[status(thm)],[35831, 35829])).
% 5.14/5.30 tff(35833,plain,
% 5.14/5.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))))),
% 5.14/5.30 inference(quant_inst,[status(thm)],[])).
% 5.14/5.30 tff(35834,plain,
% 5.14/5.30 ((~![X0: $i, X2: $i, X1: $i] : ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(z)))))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35833, 35832])).
% 5.14/5.30 tff(35835,plain,
% 5.14/5.30 ($false),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35834, 82, 35828, 35826, 35693])).
% 5.14/5.30 tff(35836,plain,(b(z, s(s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.30 tff(35837,plain,
% 5.14/5.30 (b(z, s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35836, 16950, 108, 35651, 12174])).
% 5.14/5.30 tff(35838,plain,
% 5.14/5.30 (b(elem!1, s(s(s(elem!1)))) <=> b(elem!1, s(s(s(s(z)))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[31479])).
% 5.14/5.30 tff(35839,plain,
% 5.14/5.30 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(s(s(elem!1))))),
% 5.14/5.30 inference(symmetry,[status(thm)],[35838])).
% 5.14/5.30 tff(35840,plain,
% 5.14/5.30 ((~b(elem!1, s(s(s(s(z)))))) <=> (~b(elem!1, s(s(s(elem!1)))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35839])).
% 5.14/5.30 tff(35841,plain,
% 5.14/5.30 (b(s(z), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[31491])).
% 5.14/5.30 tff(35842,plain,
% 5.14/5.30 ((~b(s(z), s(s(s(s(z)))))) <=> (~b(elem!1, s(s(s(s(z))))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35841])).
% 5.14/5.30 tff(35843,plain,
% 5.14/5.30 (~b(elem!1, s(s(s(s(z)))))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[16949, 35842])).
% 5.14/5.30 tff(35844,plain,
% 5.14/5.30 (~b(elem!1, s(s(s(elem!1))))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35843, 35840])).
% 5.14/5.30 tff(35845,plain,
% 5.14/5.30 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(z))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[1204])).
% 5.14/5.30 tff(35846,plain,
% 5.14/5.30 (b(s(z), s(s(s(z)))) <=> b(s(z), s(s(elem!1)))),
% 5.14/5.30 inference(symmetry,[status(thm)],[35845])).
% 5.14/5.30 tff(35847,plain,
% 5.14/5.30 ((~b(s(z), s(s(s(z))))) <=> (~b(s(z), s(s(elem!1))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35846])).
% 5.14/5.30 tff(35848,assumption,(~b(s(z), s(s(s(z))))), introduced(assumption)).
% 5.14/5.30 tff(35849,plain,
% 5.14/5.30 (~b(s(z), s(s(elem!1)))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35848, 35847])).
% 5.14/5.30 tff(35850,plain,
% 5.14/5.30 (~(elem!1 = s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[1418, 31498])).
% 5.14/5.30 tff(35851,plain,
% 5.14/5.30 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35650, 34850])).
% 5.14/5.30 tff(35852,plain,
% 5.14/5.30 ($false),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[33904, 35851, 34857, 35396, 12173, 8722, 35850, 35849, 35844])).
% 5.14/5.30 tff(35853,plain,((~(s(s(elem!1)) = s(s(s(z))))) | b(s(s(s(s(z)))), z) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(z)))) | b(s(z), s(s(s(s(z))))) | b(s(z), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.30 tff(35854,plain,
% 5.14/5.30 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35853, 35837, 12173, 35663, 16949, 35684])).
% 5.14/5.30 tff(35855,plain,
% 5.14/5.30 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[34886, 18227])).
% 5.14/5.30 tff(35856,plain,
% 5.14/5.30 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[31408, 35855, 987, 539])).
% 5.14/5.30 tff(35857,plain,
% 5.14/5.30 (r(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[6881, 35856, 6879])).
% 5.14/5.30 tff(35858,plain,
% 5.14/5.30 ($false),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35834, 82, 406, 721, 35857])).
% 5.14/5.30 tff(35859,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(z), s(s(s(z))))) | (s(s(elem!1)) = s(s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.30 tff(35860,plain,
% 5.14/5.30 (~r(s(z), s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35859, 35685, 35854, 35651, 35657, 108])).
% 5.14/5.30 tff(35861,plain,
% 5.14/5.30 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[25678, 6520, 406])).
% 5.14/5.30 tff(35862,plain,
% 5.14/5.30 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[1207, 35861])).
% 5.14/5.30 tff(35863,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35864,plain,
% 5.14/5.30 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z))) <=> ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35865,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35864])).
% 5.14/5.30 tff(35866,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(transitivity,[status(thm)],[35865, 35863])).
% 5.14/5.30 tff(35867,plain,
% 5.14/5.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), z)))),
% 5.14/5.30 inference(quant_inst,[status(thm)],[])).
% 5.14/5.30 tff(35868,plain,
% 5.14/5.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35867, 35866])).
% 5.14/5.30 tff(35869,plain,
% 5.14/5.30 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35868, 338, 8722, 6521, 1740, 539, 30991])).
% 5.14/5.30 tff(35870,plain,
% 5.14/5.30 (r(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[6881, 35869, 35862])).
% 5.14/5.30 tff(35871,plain,
% 5.14/5.30 (~b(s(s(elem!1)), s(s(z)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35416, 338, 8722, 6521, 1740, 600, 30991])).
% 5.14/5.30 tff(35872,plain,
% 5.14/5.30 (r(s(s(elem!1)), s(s(z)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[22190, 35871, 10936])).
% 5.14/5.30 tff(35873,plain,
% 5.14/5.30 ($false),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[17012, 35872, 35870, 487])).
% 5.14/5.30 tff(35874,plain,(r(s(z), s(s(elem!1))) | (~r(s(s(z)), s(s(s(z))))) | (s(s(elem!1)) = s(s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.30 tff(35875,plain,
% 5.14/5.30 (s(s(elem!1)) = s(s(z))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35874, 35860, 35661, 35837, 35655, 35659, 35657, 35685])).
% 5.14/5.30 tff(35876,plain,
% 5.14/5.30 (s(elem!1) = s(z)),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[10916, 35875])).
% 5.14/5.30 tff(35877,plain,
% 5.14/5.30 (z = elem!1),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[1912, 35876])).
% 5.14/5.30 tff(35878,plain,
% 5.14/5.30 (s(z) = s(elem!1)),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35877])).
% 5.14/5.30 tff(35879,plain,
% 5.14/5.30 (b(elem!1, s(z)) <=> b(elem!1, s(elem!1))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35878])).
% 5.14/5.30 tff(35880,plain,
% 5.14/5.30 (b(elem!1, s(z))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[2787, 35877, 35653])).
% 5.14/5.30 tff(35881,plain,
% 5.14/5.30 (b(elem!1, s(elem!1))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35880, 35879])).
% 5.14/5.30 tff(35882,plain,
% 5.14/5.30 (elem!1 = z),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[2752, 35877])).
% 5.14/5.30 tff(35883,plain,
% 5.14/5.30 (~b(z, elem!1)),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[1036, 35882])).
% 5.14/5.30 tff(35884,plain,
% 5.14/5.30 (b(z, s(s(s(elem!1))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[25711, 35882, 35396])).
% 5.14/5.30 tff(35885,plain,
% 5.14/5.30 (~(s(s(s(elem!1))) = elem!1)),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[2149, 35884, 35883])).
% 5.14/5.30 tff(35886,plain,
% 5.14/5.30 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[1287, 35885])).
% 5.14/5.30 tff(35887,plain,
% 5.14/5.30 (~(s(s(elem!1)) = s(elem!1))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[1343, 35886])).
% 5.14/5.30 tff(35888,plain,
% 5.14/5.30 (~(s(s(elem!1)) = elem!1)),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[17488, 35883, 35837])).
% 5.14/5.30 tff(35889,plain,
% 5.14/5.30 (b(elem!1, s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[9178, 35882, 35837])).
% 5.14/5.30 tff(35890,plain,
% 5.14/5.30 (b(s(z), s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[743, 35860])).
% 5.14/5.30 tff(35891,plain,
% 5.14/5.30 (b(s(z), elem!1)),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[3104, 35882, 35655])).
% 5.14/5.30 tff(35892,plain,
% 5.14/5.30 (~b(s(s(elem!1)), elem!1)),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[839, 35891, 35890, 35880, 35889])).
% 5.14/5.30 tff(35893,plain,
% 5.14/5.30 (r(s(s(elem!1)), elem!1)),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[327, 35892, 35888])).
% 5.14/5.30 tff(35894,plain,
% 5.14/5.30 (~(s(elem!1) = s(s(s(elem!1))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[209, 35888])).
% 5.14/5.30 tff(35895,plain,
% 5.14/5.30 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[7335, 35882, 35661])).
% 5.14/5.30 tff(35896,plain,
% 5.14/5.30 (~(elem!1 = s(s(s(elem!1))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[1924, 35885])).
% 5.14/5.30 tff(35897,plain,
% 5.14/5.30 (~r(elem!1, s(s(s(elem!1))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[6487, 35893, 35895])).
% 5.14/5.30 tff(35898,plain,
% 5.14/5.30 (b(elem!1, s(s(s(elem!1))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[1946, 35897, 35896])).
% 5.14/5.30 tff(35899,plain,
% 5.14/5.30 (~r(s(s(elem!1)), s(elem!1))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[25645, 35898, 35895, 35885, 35894, 35893])).
% 5.14/5.30 tff(35900,plain,
% 5.14/5.30 (b(s(s(elem!1)), s(elem!1))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[277, 35899, 35887])).
% 5.14/5.30 tff(35901,plain,
% 5.14/5.30 (b(s(z), elem!1) <=> b(s(elem!1), elem!1)),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35878])).
% 5.14/5.30 tff(35902,plain,
% 5.14/5.30 (b(s(elem!1), elem!1)),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35891, 35901])).
% 5.14/5.30 tff(35903,plain,
% 5.14/5.30 (b(s(z), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35878])).
% 5.14/5.30 tff(35904,plain,
% 5.14/5.30 (b(s(elem!1), s(s(elem!1)))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35890, 35903])).
% 5.14/5.30 tff(35905,plain,
% 5.14/5.30 ($false),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[18651, 35904, 35902, 35889, 35900, 35881])).
% 5.14/5.30 tff(35906,plain,(b(s(z), s(s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 5.14/5.30 tff(35907,plain,
% 5.14/5.30 (b(s(z), s(s(s(s(z)))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35906, 108, 12173])).
% 5.14/5.30 tff(35908,plain,
% 5.14/5.30 ($false),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[30307, 14780, 14782, 1122, 35156, 108])).
% 5.14/5.30 tff(35909,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.30 tff(35910,plain,
% 5.14/5.30 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35909, 108, 12174])).
% 5.14/5.30 tff(35911,plain,
% 5.14/5.30 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[689, 35910])).
% 5.14/5.30 tff(35912,plain,
% 5.14/5.30 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35909, 108, 1122])).
% 5.14/5.30 tff(35913,plain,
% 5.14/5.30 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[689, 35912])).
% 5.14/5.30 tff(35914,plain,
% 5.14/5.30 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[29395, 458, 34789, 987, 651, 35913])).
% 5.14/5.30 tff(35915,plain,
% 5.14/5.30 (r(s(s(z)), s(s(s(z))))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[534, 35914])).
% 5.14/5.30 tff(35916,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35917,plain,
% 5.14/5.30 (((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1))))) <=> ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35918,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35917])).
% 5.14/5.30 tff(35919,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(transitivity,[status(thm)],[35918, 35916])).
% 5.14/5.30 tff(35920,plain,
% 5.14/5.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 5.14/5.30 inference(quant_inst,[status(thm)],[])).
% 5.14/5.30 tff(35921,plain,
% 5.14/5.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35920, 35919])).
% 5.14/5.30 tff(35922,plain,
% 5.14/5.30 (~b(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35921, 338, 21128, 987, 35913, 34789, 30991])).
% 5.14/5.30 tff(35923,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35924,plain,
% 5.14/5.30 (((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35925,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35924])).
% 5.14/5.30 tff(35926,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.30 inference(transitivity,[status(thm)],[35925, 35923])).
% 5.14/5.30 tff(35927,plain,
% 5.14/5.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))),
% 5.14/5.30 inference(quant_inst,[status(thm)],[])).
% 5.14/5.30 tff(35928,plain,
% 5.14/5.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.30 inference(modus_ponens,[status(thm)],[35927, 35926])).
% 5.14/5.30 tff(35929,plain,
% 5.14/5.30 (~b(s(s(elem!1)), s(z))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[35928, 338, 21128, 987, 651, 34789, 30991])).
% 5.14/5.30 tff(35930,plain,
% 5.14/5.30 (r(s(s(elem!1)), s(z))),
% 5.14/5.30 inference(unit_resolution,[status(thm)],[784, 35929])).
% 5.14/5.30 tff(35931,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35932,plain,
% 5.14/5.30 (((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.30 inference(rewrite,[status(thm)],[])).
% 5.14/5.30 tff(35933,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 5.14/5.30 inference(monotonicity,[status(thm)],[35932])).
% 5.14/5.30 tff(35934,plain,
% 5.14/5.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.31 inference(transitivity,[status(thm)],[35933, 35931])).
% 5.14/5.31 tff(35935,plain,
% 5.14/5.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 5.14/5.31 inference(quant_inst,[status(thm)],[])).
% 5.14/5.31 tff(35936,plain,
% 5.14/5.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[35935, 35934])).
% 5.14/5.31 tff(35937,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35936, 338, 21128, 987, 651, 35913, 34789])).
% 5.14/5.31 tff(35938,plain,
% 5.14/5.31 (r(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[437, 35937])).
% 5.14/5.31 tff(35939,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[14054, 35938, 35930])).
% 5.14/5.31 tff(35940,plain,
% 5.14/5.31 (s(s(s(z))) = s(s(elem!1))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[6754, 35939, 35922])).
% 5.14/5.31 tff(35941,plain,
% 5.14/5.31 (s(z) = elem!1),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[1237, 35940])).
% 5.14/5.31 tff(35942,plain,
% 5.14/5.31 (s(s(z)) = s(elem!1)),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35941])).
% 5.14/5.31 tff(35943,plain,
% 5.14/5.31 (s(s(s(z))) = s(s(elem!1))),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35942])).
% 5.14/5.31 tff(35944,plain,
% 5.14/5.31 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35943])).
% 5.14/5.31 tff(35945,plain,
% 5.14/5.31 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 5.14/5.31 inference(symmetry,[status(thm)],[35944])).
% 5.14/5.31 tff(35946,plain,
% 5.14/5.31 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35945])).
% 5.14/5.31 tff(35947,plain,
% 5.14/5.31 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 5.14/5.31 inference(symmetry,[status(thm)],[35946])).
% 5.14/5.31 tff(35948,plain,
% 5.14/5.31 (r(s(s(z)), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35942])).
% 5.14/5.31 tff(35949,plain,
% 5.14/5.31 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[34840, 21128, 987, 35913])).
% 5.14/5.31 tff(35950,plain,
% 5.14/5.31 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[31474, 35949])).
% 5.14/5.31 tff(35951,plain,
% 5.14/5.31 (r(s(elem!1), s(s(s(s(z)))))),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[35950, 35948])).
% 5.14/5.31 tff(35952,plain,
% 5.14/5.31 (r(s(elem!1), s(s(s(elem!1))))),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[35951, 35947])).
% 5.14/5.31 tff(35953,plain,
% 5.14/5.31 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(elem!1))), elem!1)),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35944])).
% 5.14/5.31 tff(35954,plain,
% 5.14/5.31 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), elem!1)),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35941])).
% 5.14/5.31 tff(35955,plain,
% 5.14/5.31 (r(s(s(s(s(z)))), elem!1)),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[108, 35954])).
% 5.14/5.31 tff(35956,plain,
% 5.14/5.31 (r(s(s(s(elem!1))), elem!1)),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[35955, 35953])).
% 5.14/5.31 tff(35957,plain,
% 5.14/5.31 (r(s(s(z)), elem!1) <=> r(s(elem!1), elem!1)),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35942])).
% 5.14/5.31 tff(35958,plain,
% 5.14/5.31 (r(s(s(z)), s(z)) <=> r(s(s(z)), elem!1)),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35941])).
% 5.14/5.31 tff(35959,plain,
% 5.14/5.31 (~r(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[29067, 35938, 34789, 987, 651, 35913])).
% 5.14/5.31 tff(35960,plain,
% 5.14/5.31 (b(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[455, 35959])).
% 5.14/5.31 tff(35961,plain,
% 5.14/5.31 (~b(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30977, 35960, 34789, 24363, 14755, 1122, 651])).
% 5.14/5.31 tff(35962,plain,
% 5.14/5.31 (r(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[472, 35961])).
% 5.14/5.31 tff(35963,plain,
% 5.14/5.31 (r(s(s(z)), elem!1)),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[35962, 35958])).
% 5.14/5.31 tff(35964,plain,
% 5.14/5.31 (r(s(elem!1), elem!1)),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[35963, 35957])).
% 5.14/5.31 tff(35965,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[1508, 82, 35964, 35956, 35952])).
% 5.14/5.31 tff(35966,plain,((~b(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(35967,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35966, 108, 1122, 651, 987])).
% 5.14/5.31 tff(35968,plain,
% 5.14/5.31 (r(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[639, 35967])).
% 5.14/5.31 tff(35969,plain,
% 5.14/5.31 (~b(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30307, 458, 1122, 35156, 108])).
% 5.14/5.31 tff(35970,plain,
% 5.14/5.31 (r(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[135, 35969])).
% 5.14/5.31 tff(35971,plain,
% 5.14/5.31 (~b(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35681, 35970, 14755, 24363, 35968, 35915])).
% 5.14/5.31 tff(35972,plain,
% 5.14/5.31 (~r(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35671, 35915, 35156, 24363, 14755, 35968])).
% 5.14/5.31 tff(35973,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[472, 35972, 35971])).
% 5.14/5.31 tff(35974,plain,((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(35975,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35974, 35907, 35651, 12174, 108])).
% 5.14/5.31 tff(35976,plain,
% 5.14/5.31 (r(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[437, 35975])).
% 5.14/5.31 tff(35977,plain,
% 5.14/5.31 (~r(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[29067, 35976, 34789, 35651, 35907, 35911])).
% 5.14/5.31 tff(35978,plain,
% 5.14/5.31 (b(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[455, 35977])).
% 5.14/5.31 tff(35979,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35966, 108, 12174, 35907, 35651])).
% 5.14/5.31 tff(35980,plain,
% 5.14/5.31 (r(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[639, 35979])).
% 5.14/5.31 tff(35981,plain,
% 5.14/5.31 (~r(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35665, 35976, 35980])).
% 5.14/5.31 tff(35982,plain,
% 5.14/5.31 (b(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[472, 35981])).
% 5.14/5.31 tff(35983,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30977, 35982, 35978, 34789, 35655, 35653, 12174, 35907])).
% 5.14/5.31 tff(35984,plain,((~r(s(s(s(s(z)))), s(z))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(35985,plain,
% 5.14/5.31 (~r(s(s(s(s(z)))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35984, 12173])).
% 5.14/5.31 tff(35986,plain,
% 5.14/5.31 (b(s(s(s(s(z)))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[119, 35985])).
% 5.14/5.31 tff(35987,plain,
% 5.14/5.31 (~b(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30745, 405, 34789, 35156, 1122, 987])).
% 5.14/5.31 tff(35988,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[135, 35987, 33044])).
% 5.14/5.31 tff(35989,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(35990,plain,
% 5.14/5.31 (~r(s(z), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35989, 1122, 987])).
% 5.14/5.31 tff(35991,plain,
% 5.14/5.31 (b(s(z), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[26, 35990])).
% 5.14/5.31 tff(35992,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.31 inference(rewrite,[status(thm)],[])).
% 5.14/5.31 tff(35993,plain,
% 5.14/5.31 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.31 inference(rewrite,[status(thm)],[])).
% 5.14/5.31 tff(35994,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 5.14/5.31 inference(monotonicity,[status(thm)],[35993])).
% 5.14/5.31 tff(35995,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.31 inference(transitivity,[status(thm)],[35994, 35992])).
% 5.14/5.31 tff(35996,plain,
% 5.14/5.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 5.14/5.31 inference(quant_inst,[status(thm)],[])).
% 5.14/5.31 tff(35997,plain,
% 5.14/5.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[35996, 35995])).
% 5.14/5.31 tff(35998,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35997, 338, 35156, 21128, 987, 34789, 24139])).
% 5.14/5.31 tff(35999,plain,
% 5.14/5.31 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[689, 35998])).
% 5.14/5.31 tff(36000,plain,
% 5.14/5.31 (~r(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[3603, 35999, 1122])).
% 5.14/5.31 tff(36001,plain,
% 5.14/5.31 (b(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[135, 36000])).
% 5.14/5.31 tff(36002,plain,
% 5.14/5.31 (~r(s(z), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[11205, 35999, 72])).
% 5.14/5.31 tff(36003,plain,
% 5.14/5.31 (b(s(z), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[424, 36002])).
% 5.14/5.31 tff(36004,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[26422, 338, 601, 457, 1741, 21128, 987, 2911])).
% 5.14/5.31 tff(36005,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36006,plain,
% 5.14/5.31 (~b(z, s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36005, 36003, 987, 21128, 36001, 2911])).
% 5.14/5.31 tff(36007,plain,
% 5.14/5.31 (r(z, s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[563, 36006])).
% 5.14/5.31 tff(36008,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[2959, 35999, 72])).
% 5.14/5.31 tff(36009,plain,
% 5.14/5.31 (b(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[437, 36008])).
% 5.14/5.31 tff(36010,plain,
% 5.14/5.31 (~b(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[21865, 36009, 35156, 21128, 35991, 36003])).
% 5.14/5.31 tff(36011,plain,
% 5.14/5.31 (r(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[455, 36010])).
% 5.14/5.31 tff(36012,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[2492, 36011, 36007, 1731])).
% 5.14/5.31 tff(36013,plain,((~b(s(s(s(z))), s(s(z)))) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36014,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36013, 1731, 987, 2911, 72, 1122])).
% 5.14/5.31 tff(36015,plain,
% 5.14/5.31 (r(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[639, 36014])).
% 5.14/5.31 tff(36016,plain,
% 5.14/5.31 (~r(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35645, 14782, 35991, 35156, 36015])).
% 5.14/5.31 tff(36017,plain,
% 5.14/5.31 (b(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[455, 36016])).
% 5.14/5.31 tff(36018,plain,
% 5.14/5.31 (~b(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30877, 36017, 34789, 987, 2911, 35991, 24139, 35156, 1122])).
% 5.14/5.31 tff(36019,plain,
% 5.14/5.31 (r(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[472, 36018])).
% 5.14/5.31 tff(36020,plain,
% 5.14/5.31 (~b(z, s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[29802, 36017, 987, 2911, 3831, 35991])).
% 5.14/5.31 tff(36021,plain,
% 5.14/5.31 (r(z, s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[563, 36020])).
% 5.14/5.31 tff(36022,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[2514, 36021, 36019, 1731])).
% 5.14/5.31 tff(36023,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36024,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36023, 1731, 987, 2911, 1122, 72])).
% 5.14/5.31 tff(36025,plain,
% 5.14/5.31 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[689, 36024])).
% 5.14/5.31 tff(36026,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[29146, 36025, 1122, 987, 1731])).
% 5.14/5.31 tff(36027,plain,
% 5.14/5.31 (r(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[437, 36026])).
% 5.14/5.31 tff(36028,plain,
% 5.14/5.31 (~r(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[28755, 36027, 36015])).
% 5.14/5.31 tff(36029,plain,
% 5.14/5.31 (b(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[455, 36028])).
% 5.14/5.31 tff(36030,plain,
% 5.14/5.31 (~r(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35665, 36027, 36015])).
% 5.14/5.31 tff(36031,plain,
% 5.14/5.31 (b(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[472, 36030])).
% 5.14/5.31 tff(36032,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30877, 36031, 36029, 34789, 987, 2911, 35991, 24139, 35156, 1122])).
% 5.14/5.31 tff(36033,plain,((~r(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36034,plain,
% 5.14/5.31 (~r(z, s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36033, 72, 2911, 1122, 987])).
% 5.14/5.31 tff(36035,plain,
% 5.14/5.31 (b(z, s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[403, 36034])).
% 5.14/5.31 tff(36036,plain,
% 5.14/5.31 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[34803, 36035, 72, 35991, 1122])).
% 5.14/5.31 tff(36037,plain,
% 5.14/5.31 (b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[31474, 36036])).
% 5.14/5.31 tff(36038,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[15221, 36035, 1122, 35991, 72])).
% 5.14/5.31 tff(36039,plain,
% 5.14/5.31 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[689, 36038])).
% 5.14/5.31 tff(36040,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[34840, 36037, 987, 36039])).
% 5.14/5.31 tff(36041,plain,
% 5.14/5.31 (r(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[639, 36040])).
% 5.14/5.31 tff(36042,plain,
% 5.14/5.31 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[13638, 36037, 34789, 987, 36039])).
% 5.14/5.31 tff(36043,plain,
% 5.14/5.31 (r(s(s(z)), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[534, 36042])).
% 5.14/5.31 tff(36044,plain,
% 5.14/5.31 (~r(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35671, 36043, 35156, 35991, 36035, 36041])).
% 5.14/5.31 tff(36045,plain,
% 5.14/5.31 (b(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[472, 36044])).
% 5.14/5.31 tff(36046,plain,
% 5.14/5.31 (~r(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35681, 36045, 36035, 35991, 36041, 36043])).
% 5.14/5.31 tff(36047,plain,
% 5.14/5.31 (b(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[135, 36046])).
% 5.14/5.31 tff(36048,plain,
% 5.14/5.31 (~r(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35645, 36047, 35991, 35156, 36041])).
% 5.14/5.31 tff(36049,plain,
% 5.14/5.31 (b(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[455, 36048])).
% 5.14/5.31 tff(36050,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[20921, 338, 36045, 36049, 2911, 34789, 36037])).
% 5.14/5.31 tff(36051,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36052,plain,
% 5.14/5.31 (~r(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36051, 35986, 35651, 12174])).
% 5.14/5.31 tff(36053,plain,
% 5.14/5.31 (b(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[106, 36052])).
% 5.14/5.31 tff(36054,plain,
% 5.14/5.31 (~r(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36051, 2911, 987, 1122])).
% 5.14/5.31 tff(36055,plain,
% 5.14/5.31 (b(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[106, 36054])).
% 5.14/5.31 tff(36056,plain,
% 5.14/5.31 (~b(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30959, 70, 34789, 1122, 35156, 987, 36055])).
% 5.14/5.31 tff(36057,plain,
% 5.14/5.31 (r(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[135, 36056])).
% 5.14/5.31 tff(36058,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[3603, 36057, 1122])).
% 5.14/5.31 tff(36059,plain,
% 5.14/5.31 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[689, 36058])).
% 5.14/5.31 tff(36060,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[5782, 36059, 987, 2911, 36055])).
% 5.14/5.31 tff(36061,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[29067, 36059, 34789, 987, 36055, 70])).
% 5.14/5.31 tff(36062,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[437, 36061, 36060])).
% 5.14/5.31 tff(36063,plain,((~r(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36064,plain,
% 5.14/5.31 (~r(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36063, 35651, 35986, 12174])).
% 5.14/5.31 tff(36065,plain,
% 5.14/5.31 (b(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[455, 36064])).
% 5.14/5.31 tff(36066,plain,
% 5.14/5.31 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30733, 36065, 34789, 35986, 35396, 12174, 36053])).
% 5.14/5.31 tff(36067,plain,
% 5.14/5.31 (r(s(s(z)), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[534, 36066])).
% 5.14/5.31 tff(36068,plain,
% 5.14/5.31 (~r(s(z), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30739, 36067, 34789, 35986, 36053])).
% 5.14/5.31 tff(36069,plain,
% 5.14/5.31 (b(s(z), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[424, 36068])).
% 5.14/5.31 tff(36070,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[26532, 36069, 35651, 35986, 36053])).
% 5.14/5.31 tff(36071,plain,
% 5.14/5.31 (~r(z, s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30969, 36065, 34789, 35396, 35651, 12174, 36053])).
% 5.14/5.31 tff(36072,plain,
% 5.14/5.31 (b(z, s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[403, 36071])).
% 5.14/5.31 tff(36073,plain,
% 5.14/5.31 (~r(s(z), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35989, 12174, 35651])).
% 5.14/5.31 tff(36074,plain,
% 5.14/5.31 (b(s(z), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[26, 36073])).
% 5.14/5.31 tff(36075,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30250, 36069, 12174, 35986, 36074, 36072, 36053])).
% 5.14/5.31 tff(36076,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[689, 36075, 36070])).
% 5.14/5.31 tff(36077,plain,(b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36078,plain,
% 5.14/5.31 (b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[31474, 28675])).
% 5.14/5.31 tff(36079,assumption,(~b(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 5.14/5.31 tff(36080,plain,
% 5.14/5.31 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[689, 36079])).
% 5.14/5.31 tff(36081,plain,
% 5.14/5.31 (~r(z, s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[919, 36080, 164])).
% 5.14/5.31 tff(36082,plain,
% 5.14/5.31 (b(z, s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[391, 36081])).
% 5.14/5.31 tff(36083,plain,
% 5.14/5.31 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[572, 555, 34789, 36077, 164])).
% 5.14/5.31 tff(36084,plain,
% 5.14/5.31 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[534, 36083])).
% 5.14/5.31 tff(36085,plain,
% 5.14/5.31 (~r(z, s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[18283, 28490, 34789, 164, 405, 36077, 36084])).
% 5.14/5.31 tff(36086,plain,
% 5.14/5.31 (b(z, s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[403, 36085])).
% 5.14/5.31 tff(36087,plain,
% 5.14/5.31 (~b(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[16111, 36086, 36077, 164, 426, 405])).
% 5.14/5.31 tff(36088,plain,
% 5.14/5.31 (r(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[106, 36087])).
% 5.14/5.31 tff(36089,plain,
% 5.14/5.31 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[593, 36088, 36084, 28490, 544])).
% 5.14/5.31 tff(36090,plain,
% 5.14/5.31 (b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[31474, 36089])).
% 5.14/5.31 tff(36091,plain,
% 5.14/5.31 (~r(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[21492, 555, 34789, 36077, 405])).
% 5.14/5.31 tff(36092,plain,
% 5.14/5.31 (b(s(z), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[455, 36091])).
% 5.14/5.31 tff(36093,plain,
% 5.14/5.31 (~b(z, s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[17852, 28490, 34789, 36077, 164, 555, 405, 36092])).
% 5.14/5.31 tff(36094,plain,
% 5.14/5.31 (r(z, s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[563, 36093])).
% 5.14/5.31 tff(36095,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[35677, 36094, 426])).
% 5.14/5.31 tff(36096,plain,
% 5.14/5.31 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[639, 36095])).
% 5.14/5.31 tff(36097,plain,
% 5.14/5.31 (~b(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[484, 28490, 36092, 544, 36084])).
% 5.14/5.31 tff(36098,plain,
% 5.14/5.31 (r(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[472, 36097])).
% 5.14/5.31 tff(36099,plain,
% 5.14/5.31 (~r(s(s(z)), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30420, 36098, 405])).
% 5.14/5.31 tff(36100,plain,
% 5.14/5.31 (b(s(s(z)), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[956, 36099])).
% 5.14/5.31 tff(36101,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.14/5.31 inference(rewrite,[status(thm)],[])).
% 5.14/5.31 tff(36102,plain,
% 5.14/5.31 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.14/5.31 inference(rewrite,[status(thm)],[])).
% 5.14/5.31 tff(36103,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 5.14/5.31 inference(monotonicity,[status(thm)],[36102])).
% 5.14/5.31 tff(36104,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.14/5.31 inference(transitivity,[status(thm)],[36103, 36101])).
% 5.14/5.31 tff(36105,plain,
% 5.14/5.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(z))))))),
% 5.14/5.31 inference(quant_inst,[status(thm)],[])).
% 5.14/5.31 tff(36106,plain,
% 5.14/5.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[36105, 36104])).
% 5.14/5.31 tff(36107,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36106, 338, 544, 36100, 36096, 36092, 36077, 36090])).
% 5.14/5.31 tff(36108,plain,((~r(s(s(s(z))), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36109,plain,
% 5.14/5.31 (~r(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36108, 555, 405, 164])).
% 5.14/5.31 tff(36110,plain,
% 5.14/5.31 (b(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[135, 36109])).
% 5.14/5.31 tff(36111,plain,
% 5.14/5.31 (~b(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[28353, 458, 36077, 164, 36110, 555])).
% 5.14/5.31 tff(36112,plain,
% 5.14/5.31 (r(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[106, 36111])).
% 5.14/5.31 tff(36113,plain,
% 5.14/5.31 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[593, 36112, 36084, 458, 544])).
% 5.14/5.31 tff(36114,plain,
% 5.14/5.31 (b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[31474, 36113])).
% 5.14/5.31 tff(36115,plain,
% 5.14/5.31 (~b(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[484, 458, 36092, 544, 36084])).
% 5.14/5.31 tff(36116,plain,
% 5.14/5.31 (r(s(s(z)), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[472, 36115])).
% 5.14/5.31 tff(36117,plain,
% 5.14/5.31 (~r(s(s(z)), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[30420, 36116, 405])).
% 5.14/5.31 tff(36118,plain,
% 5.14/5.31 (b(s(s(z)), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[956, 36117])).
% 5.14/5.31 tff(36119,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.14/5.31 inference(rewrite,[status(thm)],[])).
% 5.14/5.31 tff(36120,plain,
% 5.14/5.31 (((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.14/5.31 inference(rewrite,[status(thm)],[])).
% 5.14/5.31 tff(36121,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 5.14/5.31 inference(monotonicity,[status(thm)],[36120])).
% 5.14/5.31 tff(36122,plain,
% 5.14/5.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 5.14/5.31 inference(transitivity,[status(thm)],[36121, 36119])).
% 5.14/5.31 tff(36123,plain,
% 5.14/5.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))),
% 5.14/5.31 inference(quant_inst,[status(thm)],[])).
% 5.14/5.31 tff(36124,plain,
% 5.14/5.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 5.14/5.31 inference(modus_ponens,[status(thm)],[36123, 36122])).
% 5.14/5.31 tff(36125,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36124, 338, 36118, 34789, 36077, 36114, 555])).
% 5.14/5.31 tff(36126,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36127,plain,
% 5.14/5.31 (~b(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36126, 555, 405, 164])).
% 5.14/5.31 tff(36128,plain,
% 5.14/5.31 (r(s(s(s(z))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[437, 36127])).
% 5.14/5.31 tff(36129,plain,
% 5.14/5.31 (~r(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[31305, 36128, 405, 36110, 164])).
% 5.14/5.31 tff(36130,plain,
% 5.14/5.31 (~b(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[26376, 36128, 36077, 164, 544, 36110])).
% 5.14/5.31 tff(36131,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[106, 36130, 36129])).
% 5.14/5.31 tff(36132,plain,((~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36133,plain,
% 5.14/5.31 (~b(z, s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36132, 405, 164])).
% 5.14/5.31 tff(36134,plain,
% 5.14/5.31 (r(z, s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[391, 36133])).
% 5.14/5.31 tff(36135,plain,
% 5.14/5.31 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[919, 36134, 164])).
% 5.14/5.31 tff(36136,plain,
% 5.14/5.31 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[689, 36135])).
% 5.14/5.31 tff(36137,plain,
% 5.14/5.31 (~r(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[673, 36136, 34789, 164, 36077, 405])).
% 5.14/5.31 tff(36138,plain,
% 5.14/5.31 (~r(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[552, 36134, 405])).
% 5.14/5.31 tff(36139,plain,
% 5.14/5.31 (b(s(z), s(s(s(s(z)))))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[106, 36138])).
% 5.14/5.31 tff(36140,plain,
% 5.14/5.31 (~b(s(s(s(z))), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[26372, 36139, 36077, 164, 544, 36134])).
% 5.14/5.31 tff(36141,plain,
% 5.14/5.31 ($false),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[135, 36140, 36137])).
% 5.14/5.31 tff(36142,plain,((~r(s(z), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.31 tff(36143,plain,
% 5.14/5.31 (~r(s(z), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[36142, 164])).
% 5.14/5.31 tff(36144,plain,
% 5.14/5.31 (b(s(z), z)),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[26, 36143])).
% 5.14/5.31 tff(36145,plain,
% 5.14/5.31 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.31 inference(unit_resolution,[status(thm)],[18635, 1121, 36077, 36144, 16215])).
% 5.14/5.32 tff(36146,plain,
% 5.14/5.32 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[119, 36145])).
% 5.14/5.32 tff(36147,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[2880, 82, 1038, 36146, 427])).
% 5.14/5.32 tff(36148,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36149,plain,
% 5.14/5.32 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36148, 427, 164])).
% 5.14/5.32 tff(36150,plain,
% 5.14/5.32 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1011, 36149])).
% 5.14/5.32 tff(36151,plain,
% 5.14/5.32 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[34815, 427, 164, 36144, 426])).
% 5.14/5.32 tff(36152,plain,
% 5.14/5.32 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[534, 36151])).
% 5.14/5.32 tff(36153,plain,
% 5.14/5.32 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[13638, 36150, 34789, 36152, 25198])).
% 5.14/5.32 tff(36154,plain,
% 5.14/5.32 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[31474, 36153])).
% 5.14/5.32 tff(36155,plain,
% 5.14/5.32 (~r(s(z), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[28674, 36154, 72])).
% 5.14/5.32 tff(36156,plain,
% 5.14/5.32 (b(s(z), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[455, 36155])).
% 5.14/5.32 tff(36157,plain,
% 5.14/5.32 (~r(s(s(z)), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[581, 82, 72, 36154])).
% 5.14/5.32 tff(36158,plain,
% 5.14/5.32 (b(s(s(z)), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[472, 36157])).
% 5.14/5.32 tff(36159,plain,
% 5.14/5.32 (~b(s(s(z)), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[30815, 36158, 36156, 16215, 36144])).
% 5.14/5.32 tff(36160,plain,
% 5.14/5.32 (r(s(s(z)), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[956, 36159])).
% 5.14/5.32 tff(36161,plain,
% 5.14/5.32 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[960, 82, 426, 36160])).
% 5.14/5.32 tff(36162,plain,
% 5.14/5.32 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[639, 36161])).
% 5.14/5.32 tff(36163,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[24236, 338, 36152, 36162, 36150, 25198, 34789])).
% 5.14/5.32 tff(36164,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36165,plain,
% 5.14/5.32 (~r(s(s(s(z))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36164, 426, 72, 164])).
% 5.14/5.32 tff(36166,plain,
% 5.14/5.32 (b(s(s(s(z))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[437, 36165])).
% 5.14/5.32 tff(36167,plain,
% 5.14/5.32 (~r(s(z), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[11205, 36080, 72])).
% 5.14/5.32 tff(36168,plain,
% 5.14/5.32 (b(s(z), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[424, 36167])).
% 5.14/5.32 tff(36169,plain,
% 5.14/5.32 (~b(z, s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[17860, 36168, 34789, 36077, 72, 164, 36166, 36082])).
% 5.14/5.32 tff(36170,plain,
% 5.14/5.32 (r(z, s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[563, 36169])).
% 5.14/5.32 tff(36171,plain,
% 5.14/5.32 (~r(z, s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[2492, 36170, 70])).
% 5.14/5.32 tff(36172,plain,
% 5.14/5.32 (b(z, s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[403, 36171])).
% 5.14/5.32 tff(36173,plain,
% 5.14/5.32 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.32 inference(modus_ponens,[status(thm)],[30991, 10345])).
% 5.14/5.32 tff(36174,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36079, 36173])).
% 5.14/5.32 tff(36175,plain,((~(s(z) = elem!1)) | b(s(s(s(z))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36176,plain,
% 5.14/5.32 (~(s(z) = elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36175, 36079])).
% 5.14/5.32 tff(36177,plain,
% 5.14/5.32 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1237, 36176])).
% 5.14/5.32 tff(36178,plain,
% 5.14/5.32 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[18635, 486, 36077, 1740, 555])).
% 5.14/5.32 tff(36179,plain,
% 5.14/5.32 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[119, 36178])).
% 5.14/5.32 tff(36180,plain,
% 5.14/5.32 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[34875, 871, 1740, 458, 457, 486, 36179])).
% 5.14/5.32 tff(36181,plain,
% 5.14/5.32 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[34886, 36180])).
% 5.14/5.32 tff(36182,plain,
% 5.14/5.32 (~r(s(s(elem!1)), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1230, 871, 426, 747, 458, 457])).
% 5.14/5.32 tff(36183,plain,
% 5.14/5.32 (b(s(s(elem!1)), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[800, 36182])).
% 5.14/5.32 tff(36184,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[31036, 36183, 36181, 36077, 555])).
% 5.14/5.32 tff(36185,plain,((s(s(s(z))) = s(s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36186,plain,
% 5.14/5.32 (~b(s(z), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36185, 36177, 426, 36082, 36166, 36168, 36144, 36172])).
% 5.14/5.32 tff(36187,plain,
% 5.14/5.32 (r(s(z), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[743, 36186])).
% 5.14/5.32 tff(36188,plain,
% 5.14/5.32 (~r(s(s(elem!1)), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[35100, 36187, 70])).
% 5.14/5.32 tff(36189,plain,
% 5.14/5.32 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1207, 36177])).
% 5.14/5.32 tff(36190,plain,
% 5.14/5.32 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[18635, 36172, 36077, 36144, 36082])).
% 5.14/5.32 tff(36191,plain,
% 5.14/5.32 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[119, 36190])).
% 5.14/5.32 tff(36192,plain,
% 5.14/5.32 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[34875, 36177, 36144, 36166, 36168, 36172, 36191])).
% 5.14/5.32 tff(36193,plain,
% 5.14/5.32 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[34886, 36192])).
% 5.14/5.32 tff(36194,plain,
% 5.14/5.32 (~b(s(s(elem!1)), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[31036, 36193, 36077, 36082])).
% 5.14/5.32 tff(36195,plain,
% 5.14/5.32 (r(s(s(elem!1)), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[800, 36194])).
% 5.14/5.32 tff(36196,plain,
% 5.14/5.32 (~r(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1202, 82, 36195, 426])).
% 5.14/5.32 tff(36197,plain,
% 5.14/5.32 (b(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[6881, 36196, 36189])).
% 5.14/5.32 tff(36198,plain,
% 5.14/5.32 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1217, 36195, 426])).
% 5.14/5.32 tff(36199,plain,
% 5.14/5.32 (b(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[6754, 36198, 36177])).
% 5.14/5.32 tff(36200,plain,
% 5.14/5.32 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[35677, 36170, 426])).
% 5.14/5.32 tff(36201,plain,
% 5.14/5.32 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[639, 36200])).
% 5.14/5.32 tff(36202,plain,
% 5.14/5.32 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[26838, 36082, 36077, 36144, 36168, 164, 36166])).
% 5.14/5.32 tff(36203,plain,
% 5.14/5.32 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[534, 36202])).
% 5.14/5.32 tff(36204,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.14/5.32 inference(rewrite,[status(thm)],[])).
% 5.14/5.32 tff(36205,plain,
% 5.14/5.32 (((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.14/5.32 inference(rewrite,[status(thm)],[])).
% 5.14/5.32 tff(36206,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z))))))),
% 5.14/5.32 inference(monotonicity,[status(thm)],[36205])).
% 5.14/5.32 tff(36207,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.14/5.32 inference(transitivity,[status(thm)],[36206, 36204])).
% 5.14/5.32 tff(36208,plain,
% 5.14/5.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(z)))))),
% 5.14/5.32 inference(quant_inst,[status(thm)],[])).
% 5.14/5.32 tff(36209,plain,
% 5.14/5.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z))))),
% 5.14/5.32 inference(modus_ponens,[status(thm)],[36208, 36207])).
% 5.14/5.32 tff(36210,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36209, 338, 476, 21128, 3254, 3485, 11071])).
% 5.14/5.32 tff(36211,plain,((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36212,plain,
% 5.14/5.32 (~b(s(s(elem!1)), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36211, 36203, 36201, 36199, 36197])).
% 5.14/5.32 tff(36213,plain,
% 5.14/5.32 (s(s(elem!1)) = s(s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[22190, 36212, 36188])).
% 5.14/5.32 tff(36214,plain,
% 5.14/5.32 (s(elem!1) = s(z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[10916, 36213])).
% 5.14/5.32 tff(36215,plain,
% 5.14/5.32 (z = elem!1),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1912, 36214])).
% 5.14/5.32 tff(36216,plain,
% 5.14/5.32 (b(elem!1, z) <=> b(elem!1, elem!1)),
% 5.14/5.32 inference(monotonicity,[status(thm)],[36215])).
% 5.14/5.32 tff(36217,plain,
% 5.14/5.32 (b(elem!1, elem!1) <=> b(elem!1, z)),
% 5.14/5.32 inference(symmetry,[status(thm)],[36216])).
% 5.14/5.32 tff(36218,plain,
% 5.14/5.32 ((~b(elem!1, elem!1)) <=> (~b(elem!1, z))),
% 5.14/5.32 inference(monotonicity,[status(thm)],[36217])).
% 5.14/5.32 tff(36219,plain,
% 5.14/5.32 (~b(elem!1, z)),
% 5.14/5.32 inference(modus_ponens,[status(thm)],[7551, 36218])).
% 5.14/5.32 tff(36220,plain,
% 5.14/5.32 (~r(s(z), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[12117, 36215, 36143])).
% 5.14/5.32 tff(36221,plain,
% 5.14/5.32 (~(s(s(elem!1)) = elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[13678, 36220, 36186])).
% 5.14/5.32 tff(36222,plain,
% 5.14/5.32 (~(s(elem!1) = s(s(s(elem!1))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[209, 36221])).
% 5.14/5.32 tff(36223,plain,
% 5.14/5.32 (~(s(s(s(elem!1))) = s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[217, 36222])).
% 5.14/5.32 tff(36224,plain,
% 5.14/5.32 (elem!1 = z),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[2752, 36215])).
% 5.14/5.32 tff(36225,plain,
% 5.14/5.32 (~r(s(elem!1), s(s(s(elem!1))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[4520, 36224, 36167])).
% 5.14/5.32 tff(36226,plain,
% 5.14/5.32 (b(s(elem!1), s(s(s(elem!1))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1515, 36222, 36225])).
% 5.14/5.32 tff(36227,plain,
% 5.14/5.32 (b(elem!1, s(s(z))) <=> b(elem!1, s(s(elem!1)))),
% 5.14/5.32 inference(monotonicity,[status(thm)],[2807])).
% 5.14/5.32 tff(36228,plain,
% 5.14/5.32 (b(elem!1, s(s(elem!1))) <=> b(elem!1, s(s(z)))),
% 5.14/5.32 inference(symmetry,[status(thm)],[36227])).
% 5.14/5.32 tff(36229,plain,
% 5.14/5.32 (b(elem!1, s(s(z)))),
% 5.14/5.32 inference(modus_ponens,[status(thm)],[17793, 36228])).
% 5.14/5.32 tff(36230,plain,
% 5.14/5.32 (b(z, s(s(z))) <=> b(elem!1, s(s(z)))),
% 5.14/5.32 inference(monotonicity,[status(thm)],[703])).
% 5.14/5.32 tff(36231,plain,
% 5.14/5.32 ((~b(z, s(s(z)))) <=> (~b(elem!1, s(s(z))))),
% 5.14/5.32 inference(monotonicity,[status(thm)],[36230])).
% 5.14/5.32 tff(36232,plain,
% 5.14/5.32 (~b(elem!1, s(s(z)))),
% 5.14/5.32 inference(modus_ponens,[status(thm)],[561, 36231])).
% 5.14/5.32 tff(36233,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36232, 36229])).
% 5.14/5.32 tff(36234,plain,((~(z = elem!1)) | b(z, s(s(z))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36235,plain,
% 5.14/5.32 (~b(z, s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36234, 36215, 36169])).
% 5.14/5.32 tff(36236,plain,
% 5.14/5.32 (~r(z, elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[10543, 36224, 31087])).
% 5.14/5.32 tff(36237,plain,
% 5.14/5.32 (~(s(s(elem!1)) = s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[22545, 36236, 36235])).
% 5.14/5.32 tff(36238,plain,
% 5.14/5.32 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1280, 36237])).
% 5.14/5.32 tff(36239,plain,
% 5.14/5.32 (b(elem!1, s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[2787, 36215, 36172])).
% 5.14/5.32 tff(36240,plain,
% 5.14/5.32 (b(s(z), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[3104, 36224, 36144])).
% 5.14/5.32 tff(36241,plain,
% 5.14/5.32 (~b(s(s(s(z))), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[6908, 36240, 36166, 36168, 36239])).
% 5.14/5.32 tff(36242,plain,
% 5.14/5.32 (~b(s(s(s(elem!1))), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[4508, 36241, 36215])).
% 5.14/5.32 tff(36243,plain,
% 5.14/5.32 (r(s(s(s(elem!1))), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1387, 36242])).
% 5.14/5.32 tff(36244,plain,
% 5.14/5.32 (~r(s(s(s(elem!1))), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[8977, 36243, 36195])).
% 5.14/5.32 tff(36245,plain,
% 5.14/5.32 (b(s(s(s(elem!1))), s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1292, 36244, 36238])).
% 5.14/5.32 tff(36246,plain,
% 5.14/5.32 (b(s(s(elem!1)), s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[25566, 36244, 36235])).
% 5.14/5.32 tff(36247,plain,
% 5.14/5.32 (~(s(s(elem!1)) = s(s(s(elem!1))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[2611, 36238])).
% 5.14/5.32 tff(36248,plain,
% 5.14/5.32 (~r(s(s(elem!1)), s(s(s(elem!1))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[8996, 36243, 36195])).
% 5.14/5.32 tff(36249,plain,
% 5.14/5.32 (b(s(s(elem!1)), s(s(s(elem!1))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[2619, 36248, 36247])).
% 5.14/5.32 tff(36250,plain,
% 5.14/5.32 (~b(s(s(s(elem!1))), s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[7170, 36249, 36246, 36245, 36226])).
% 5.14/5.32 tff(36251,plain,
% 5.14/5.32 (r(s(s(s(elem!1))), s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1971, 36250, 36223])).
% 5.14/5.32 tff(36252,plain,
% 5.14/5.32 (r(s(s(s(elem!1))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[7807, 36251, 36215])).
% 5.14/5.32 tff(36253,plain,
% 5.14/5.32 (~b(z, elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1036, 36224])).
% 5.14/5.32 tff(36254,plain,
% 5.14/5.32 (~(s(elem!1) = elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[293, 36221])).
% 5.14/5.32 tff(36255,plain,
% 5.14/5.32 (~b(s(s(s(elem!1))), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[10102, 36242, 36224])).
% 5.14/5.32 tff(36256,plain,
% 5.14/5.32 (~b(s(s(elem!1)), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[906, 36215, 36194])).
% 5.14/5.32 tff(36257,plain,
% 5.14/5.32 (r(s(s(elem!1)), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[327, 36256, 36221])).
% 5.14/5.32 tff(36258,plain,
% 5.14/5.32 (~r(elem!1, z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[891, 36257, 36195])).
% 5.14/5.32 tff(36259,plain,
% 5.14/5.32 (~(elem!1 = s(s(s(elem!1))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[3385, 36243, 36258])).
% 5.14/5.32 tff(36260,plain,
% 5.14/5.32 (~(s(s(s(elem!1))) = elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[3379, 36259])).
% 5.14/5.32 tff(36261,plain,
% 5.14/5.32 (r(s(s(s(elem!1))), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[2162, 36260, 36255])).
% 5.14/5.32 tff(36262,plain,
% 5.14/5.32 (~r(s(elem!1), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[29591, 36261, 36246, 36249, 36245, 36222])).
% 5.14/5.32 tff(36263,plain,
% 5.14/5.32 (b(s(elem!1), elem!1)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[312, 36262, 36254])).
% 5.14/5.32 tff(36264,plain,
% 5.14/5.32 (~(elem!1 = s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[2015, 36221])).
% 5.14/5.32 tff(36265,plain,
% 5.14/5.32 (r(z, s(s(elem!1)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[161, 36235])).
% 5.14/5.32 tff(36266,plain,
% 5.14/5.32 (~(elem!1 = s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[231, 36237])).
% 5.14/5.32 tff(36267,plain,
% 5.14/5.32 (~r(z, s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[8904, 36251, 36243])).
% 5.14/5.32 tff(36268,plain,
% 5.14/5.32 (~r(elem!1, s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[7088, 36267, 36224])).
% 5.14/5.32 tff(36269,plain,
% 5.14/5.32 (b(elem!1, s(elem!1))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[252, 36268, 36266])).
% 5.14/5.32 tff(36270,plain,
% 5.14/5.32 (~r(z, s(s(s(elem!1))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[7854, 36269, 164, 36215, 36265, 36197, 36245, 36249, 36246, 36144, 36261, 36168, 36264, 36263])).
% 5.14/5.32 tff(36271,plain,
% 5.14/5.32 (b(elem!1, z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[13842, 36270, 36186, 36235, 36253, 36252])).
% 5.14/5.32 tff(36272,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36271, 36219])).
% 5.14/5.32 tff(36273,plain,(b(s(s(s(z))), s(s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36274,plain,
% 5.14/5.32 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36273, 70, 426, 164, 72])).
% 5.14/5.32 tff(36275,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[26411, 338, 564, 29073, 34789, 36077, 600])).
% 5.14/5.32 tff(36276,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36277,plain,
% 5.14/5.32 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36276, 36078, 426, 164])).
% 5.14/5.32 tff(36278,plain,
% 5.14/5.32 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[534, 36277])).
% 5.14/5.32 tff(36279,plain,
% 5.14/5.32 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[13638, 36278, 34789, 36078, 36274])).
% 5.14/5.32 tff(36280,plain,
% 5.14/5.32 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1011, 36279])).
% 5.14/5.32 tff(36281,plain,
% 5.14/5.32 (~r(z, s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1119, 36280, 164])).
% 5.14/5.32 tff(36282,plain,
% 5.14/5.32 (b(z, s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[391, 36281])).
% 5.14/5.32 tff(36283,plain,
% 5.14/5.32 (~b(z, s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[982, 36282, 34789, 36077, 36078])).
% 5.14/5.32 tff(36284,plain,
% 5.14/5.32 (r(z, s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[563, 36283])).
% 5.14/5.32 tff(36285,plain,
% 5.14/5.32 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[35677, 36284, 426])).
% 5.14/5.32 tff(36286,plain,
% 5.14/5.32 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[639, 36285])).
% 5.14/5.32 tff(36287,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[30285, 338, 36278, 36286, 36274, 34789, 36078])).
% 5.14/5.32 tff(36288,plain,((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36289,plain,
% 5.14/5.32 (~r(s(z), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36288, 426, 150, 72])).
% 5.14/5.32 tff(36290,plain,
% 5.14/5.32 (b(s(z), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[455, 36289])).
% 5.14/5.32 tff(36291,plain,
% 5.14/5.32 (~r(s(z), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36288, 426, 164, 72])).
% 5.14/5.32 tff(36292,plain,
% 5.14/5.32 (b(s(z), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[455, 36291])).
% 5.14/5.32 tff(36293,plain,
% 5.14/5.32 (~b(z, s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[17860, 11927, 34789, 36077, 72, 164, 36166, 15219])).
% 5.14/5.32 tff(36294,plain,
% 5.14/5.32 (r(z, s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[563, 36293])).
% 5.14/5.32 tff(36295,plain,
% 5.14/5.32 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[35677, 36294, 426])).
% 5.14/5.32 tff(36296,plain,
% 5.14/5.32 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[639, 36295])).
% 5.14/5.32 tff(36297,plain,
% 5.14/5.32 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[26838, 11927, 36077, 36144, 15219, 164, 36166])).
% 5.14/5.32 tff(36298,plain,
% 5.14/5.32 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[534, 36297])).
% 5.14/5.32 tff(36299,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[968, 338, 36298, 15219, 36166, 36296, 36292])).
% 5.14/5.32 tff(36300,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36301,plain,
% 5.14/5.32 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36300, 426, 72, 150])).
% 5.14/5.32 tff(36302,plain,
% 5.14/5.32 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[689, 36301])).
% 5.14/5.32 tff(36303,plain,
% 5.14/5.32 (~r(s(s(s(z))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36164, 426, 72, 150])).
% 5.14/5.32 tff(36304,plain,
% 5.14/5.32 (b(s(s(s(z))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[437, 36303])).
% 5.14/5.32 tff(36305,plain,
% 5.14/5.32 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1119, 371, 150])).
% 5.14/5.32 tff(36306,plain,
% 5.14/5.32 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[1011, 36305])).
% 5.14/5.32 tff(36307,plain,
% 5.14/5.32 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[34840, 21128, 987, 539])).
% 5.14/5.32 tff(36308,plain,
% 5.14/5.32 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[31474, 36307])).
% 5.14/5.32 tff(36309,plain,
% 5.14/5.32 (~r(s(s(z)), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[581, 82, 72, 36308])).
% 5.14/5.32 tff(36310,plain,
% 5.14/5.32 (b(s(s(z)), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[472, 36309])).
% 5.14/5.32 tff(36311,plain,
% 5.14/5.32 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[521, 36310, 164, 474, 486])).
% 5.14/5.32 tff(36312,plain,
% 5.14/5.32 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[534, 36311])).
% 5.14/5.32 tff(36313,plain,
% 5.14/5.32 (((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.32 inference(rewrite,[status(thm)],[])).
% 5.14/5.32 tff(36314,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 5.14/5.32 inference(monotonicity,[status(thm)],[36313])).
% 5.14/5.32 tff(36315,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.32 inference(transitivity,[status(thm)],[36314, 24373])).
% 5.14/5.32 tff(36316,plain,
% 5.14/5.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 5.14/5.32 inference(quant_inst,[status(thm)],[])).
% 5.14/5.32 tff(36317,plain,
% 5.14/5.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 5.14/5.32 inference(modus_ponens,[status(thm)],[36316, 36315])).
% 5.14/5.32 tff(36318,plain,
% 5.14/5.32 ($false),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36317, 338, 36312, 36310, 458, 21128, 987, 34789])).
% 5.14/5.32 tff(36319,plain,((~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.32 tff(36320,plain,
% 5.14/5.32 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36319, 36306, 36304, 150, 36290, 31361, 72, 36302])).
% 5.14/5.32 tff(36321,plain,
% 5.14/5.32 (r(s(s(s(z))), s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[639, 36320])).
% 5.14/5.32 tff(36322,plain,
% 5.14/5.32 (~r(z, s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[35677, 36321, 426])).
% 5.14/5.32 tff(36323,plain,
% 5.14/5.32 (b(z, s(s(z)))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[563, 36322])).
% 5.14/5.32 tff(36324,plain,
% 5.14/5.32 (~r(s(z), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36142, 150])).
% 5.14/5.32 tff(36325,plain,
% 5.14/5.32 (b(s(z), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[26, 36324])).
% 5.14/5.32 tff(36326,plain,
% 5.14/5.32 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[29802, 36323, 36304, 36306, 36290, 36325])).
% 5.14/5.32 tff(36327,plain,
% 5.14/5.32 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[34866, 36326, 138, 31360, 36305, 36321])).
% 5.14/5.32 tff(36328,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.32 inference(rewrite,[status(thm)],[])).
% 5.14/5.32 tff(36329,plain,
% 5.14/5.32 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z)))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.32 inference(rewrite,[status(thm)],[])).
% 5.14/5.32 tff(36330,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.32 inference(monotonicity,[status(thm)],[36329])).
% 5.14/5.32 tff(36331,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.32 inference(transitivity,[status(thm)],[36330, 36328])).
% 5.14/5.32 tff(36332,plain,
% 5.14/5.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(z))))))),
% 5.14/5.32 inference(quant_inst,[status(thm)],[])).
% 5.14/5.32 tff(36333,plain,
% 5.14/5.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.32 inference(modus_ponens,[status(thm)],[36332, 36331])).
% 5.14/5.32 tff(36334,plain,
% 5.14/5.32 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[36333, 338, 36323, 36302, 34789, 36077, 30991])).
% 5.14/5.32 tff(36335,plain,
% 5.14/5.32 (r(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[6881, 36334, 36327])).
% 5.14/5.32 tff(36336,plain,
% 5.14/5.32 (~r(s(s(elem!1)), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[34904, 82, 150, 36335])).
% 5.14/5.32 tff(36337,plain,
% 5.14/5.32 (b(s(s(elem!1)), z)),
% 5.14/5.32 inference(unit_resolution,[status(thm)],[800, 36336])).
% 5.14/5.32 tff(36338,plain,
% 5.14/5.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.32 inference(rewrite,[status(thm)],[])).
% 5.14/5.32 tff(36339,plain,
% 5.14/5.32 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(rewrite,[status(thm)],[])).
% 5.14/5.33 tff(36340,plain,
% 5.14/5.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36339])).
% 5.14/5.33 tff(36341,plain,
% 5.14/5.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(transitivity,[status(thm)],[36340, 36338])).
% 5.14/5.33 tff(36342,plain,
% 5.14/5.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(quant_inst,[status(thm)],[])).
% 5.14/5.33 tff(36343,plain,
% 5.14/5.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.33 inference(modus_ponens,[status(thm)],[36342, 36341])).
% 5.14/5.33 tff(36344,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36343, 338, 36337, 31361, 36323, 36290, 36077, 30991])).
% 5.14/5.33 tff(36345,plain,((~r(z, s(s(s(s(z)))))) | b(z, s(s(s(z)))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36346,plain,
% 5.14/5.33 (~r(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36345, 426, 138, 72])).
% 5.14/5.33 tff(36347,plain,
% 5.14/5.33 (b(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[391, 36346])).
% 5.14/5.33 tff(36348,plain,
% 5.14/5.33 (~r(z, s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[35677, 2464, 426])).
% 5.14/5.33 tff(36349,plain,
% 5.14/5.33 (b(z, s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[563, 36348])).
% 5.14/5.33 tff(36350,plain,
% 5.14/5.33 (~b(s(s(z)), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[2496, 36349, 34789, 36077, 555])).
% 5.14/5.33 tff(36351,plain,
% 5.14/5.33 (r(s(s(z)), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[956, 36350])).
% 5.14/5.33 tff(36352,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[960, 82, 426, 36351, 2464])).
% 5.14/5.33 tff(36353,plain,((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36354,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36353, 426, 36347])).
% 5.14/5.33 tff(36355,plain,
% 5.14/5.33 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[639, 36354])).
% 5.14/5.33 tff(36356,plain,
% 5.14/5.33 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[572, 36347, 34789, 36077, 150])).
% 5.14/5.33 tff(36357,plain,
% 5.14/5.33 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[534, 36356])).
% 5.14/5.33 tff(36358,plain,
% 5.14/5.33 (~b(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[27102, 1731, 34789, 36077, 72, 476, 458])).
% 5.14/5.33 tff(36359,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[424, 36358, 16628])).
% 5.14/5.33 tff(36360,plain,((~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36361,plain,
% 5.14/5.33 (~r(z, s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36360, 36357, 72, 36304, 150])).
% 5.14/5.33 tff(36362,plain,
% 5.14/5.33 (b(z, s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[403, 36361])).
% 5.14/5.33 tff(36363,plain,
% 5.14/5.33 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36319, 36362, 36304, 150, 36290, 36355, 72, 36302])).
% 5.14/5.33 tff(36364,plain,
% 5.14/5.33 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1011, 36363])).
% 5.14/5.33 tff(36365,plain,
% 5.14/5.33 (~r(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[4106, 36364, 72])).
% 5.14/5.33 tff(36366,plain,
% 5.14/5.33 (b(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[424, 36365])).
% 5.14/5.33 tff(36367,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[968, 338, 36357, 36366, 36304, 36355, 36290])).
% 5.14/5.33 tff(36368,plain,((~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36369,plain,
% 5.14/5.33 (~r(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36368, 72, 138])).
% 5.14/5.33 tff(36370,plain,
% 5.14/5.33 (b(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[135, 36369])).
% 5.14/5.33 tff(36371,plain,
% 5.14/5.33 (~r(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[22339, 427, 36077, 72, 1741])).
% 5.14/5.33 tff(36372,plain,
% 5.14/5.33 (b(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[424, 36371])).
% 5.14/5.33 tff(36373,plain,
% 5.14/5.33 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[24261, 25198, 36077, 1741, 36150, 36372])).
% 5.14/5.33 tff(36374,plain,
% 5.14/5.33 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[119, 36373])).
% 5.14/5.33 tff(36375,plain,
% 5.14/5.33 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26130, 36374, 36077, 1741, 36150, 36372, 25198])).
% 5.14/5.33 tff(36376,plain,
% 5.14/5.33 (r(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[534, 36375])).
% 5.14/5.33 tff(36377,plain,
% 5.14/5.33 (~b(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[29102, 36376, 164, 427, 16215])).
% 5.14/5.33 tff(36378,plain,
% 5.14/5.33 (r(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[455, 36377])).
% 5.14/5.33 tff(36379,plain,
% 5.14/5.33 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[28674, 36378, 72])).
% 5.14/5.33 tff(36380,plain,
% 5.14/5.33 (b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[31474, 36379])).
% 5.14/5.33 tff(36381,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[28755, 36378, 427])).
% 5.14/5.33 tff(36382,plain,
% 5.14/5.33 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[639, 36381])).
% 5.14/5.33 tff(36383,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[34840, 36382, 36380, 36150, 25198])).
% 5.14/5.33 tff(36384,plain,((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36385,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36384, 72, 150, 36370])).
% 5.14/5.33 tff(36386,plain,
% 5.14/5.33 (b(s(s(s(z))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[437, 36385])).
% 5.14/5.33 tff(36387,plain,
% 5.14/5.33 (~r(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26568, 36386, 36077, 72, 36370])).
% 5.14/5.33 tff(36388,plain,
% 5.14/5.33 (b(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[424, 36387])).
% 5.14/5.33 tff(36389,plain,
% 5.14/5.33 (~b(z, s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1749, 36388, 36325, 36370, 36386])).
% 5.14/5.33 tff(36390,plain,
% 5.14/5.33 (r(z, s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[403, 36389])).
% 5.14/5.33 tff(36391,plain,
% 5.14/5.33 (~r(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[11465, 36390, 72])).
% 5.14/5.33 tff(36392,plain,
% 5.14/5.33 (b(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[391, 36391])).
% 5.14/5.33 tff(36393,plain,
% 5.14/5.33 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[27102, 36390, 34789, 36077, 72, 36388, 36386])).
% 5.14/5.33 tff(36394,plain,
% 5.14/5.33 (r(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[534, 36393])).
% 5.14/5.33 tff(36395,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[572, 36394, 36392, 34789, 36077, 150])).
% 5.14/5.33 tff(36396,plain,((~r(s(z), s(s(s(s(z)))))) | b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36397,plain,
% 5.14/5.33 (~r(s(z), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36396, 138])).
% 5.14/5.33 tff(36398,plain,
% 5.14/5.33 (b(s(z), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[106, 36397])).
% 5.14/5.33 tff(36399,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[7735, 16215, 36077, 36144, 427])).
% 5.14/5.33 tff(36400,plain,
% 5.14/5.33 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[689, 36399])).
% 5.14/5.33 tff(36401,plain,
% 5.14/5.33 (~b(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3505, 16215, 36077, 36144, 651])).
% 5.14/5.33 tff(36402,plain,
% 5.14/5.33 (r(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[391, 36401])).
% 5.14/5.33 tff(36403,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[29112, 36402, 36400, 34789, 164, 36144, 651, 427, 16215, 36150])).
% 5.14/5.33 tff(36404,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36405,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36404, 164, 651])).
% 5.14/5.33 tff(36406,plain,
% 5.14/5.33 (b(s(s(s(z))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[437, 36405])).
% 5.14/5.33 tff(36407,plain,
% 5.14/5.33 (~b(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[28353, 1741, 36077, 164, 651, 36406])).
% 5.14/5.33 tff(36408,plain,
% 5.14/5.33 (r(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[391, 36407])).
% 5.14/5.33 tff(36409,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[919, 36408, 164])).
% 5.14/5.33 tff(36410,plain,
% 5.14/5.33 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[689, 36409])).
% 5.14/5.33 tff(36411,plain,
% 5.14/5.33 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1119, 36408, 164])).
% 5.14/5.33 tff(36412,plain,
% 5.14/5.33 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1011, 36411])).
% 5.14/5.33 tff(36413,plain,
% 5.14/5.33 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[29395, 36412, 34789, 651, 36406, 36410])).
% 5.14/5.33 tff(36414,plain,
% 5.14/5.33 (~r(z, s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[16634, 36408, 164, 36406])).
% 5.14/5.33 tff(36415,plain,
% 5.14/5.33 (b(z, s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[403, 36414])).
% 5.14/5.33 tff(36416,plain,
% 5.14/5.33 (~b(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26372, 36408, 36077, 164, 651, 1741])).
% 5.14/5.33 tff(36417,plain,
% 5.14/5.33 (r(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[424, 36416])).
% 5.14/5.33 tff(36418,plain,
% 5.14/5.33 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[18536, 36417, 164, 36415])).
% 5.14/5.33 tff(36419,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[534, 36418, 36413])).
% 5.14/5.33 tff(36420,plain,((~b(s(s(s(z))), z)) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36421,plain,
% 5.14/5.33 (~b(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36420, 164, 651])).
% 5.14/5.33 tff(36422,plain,
% 5.14/5.33 (r(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[135, 36421])).
% 5.14/5.33 tff(36423,plain,
% 5.14/5.33 (~b(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[21801, 1731, 34789, 36144, 651, 36406, 36422, 36077])).
% 5.14/5.33 tff(36424,plain,
% 5.14/5.33 (~r(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[16634, 1731, 164, 36406])).
% 5.14/5.33 tff(36425,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[391, 36424, 36423])).
% 5.14/5.33 tff(36426,plain,((~r(z, s(z))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36427,plain,
% 5.14/5.33 (~r(z, s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36426, 150, 36398])).
% 5.14/5.33 tff(36428,plain,
% 5.14/5.33 (b(z, s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[403, 36427])).
% 5.14/5.33 tff(36429,plain,
% 5.14/5.33 (~b(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3505, 36428, 36077, 36325, 36398])).
% 5.14/5.33 tff(36430,plain,
% 5.14/5.33 (r(z, s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[391, 36429])).
% 5.14/5.33 tff(36431,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[919, 36430, 150])).
% 5.14/5.33 tff(36432,plain,
% 5.14/5.33 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[689, 36431])).
% 5.14/5.33 tff(36433,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36404, 150, 36398])).
% 5.14/5.33 tff(36434,plain,
% 5.14/5.33 (b(s(s(s(z))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[437, 36433])).
% 5.14/5.33 tff(36435,plain,
% 5.14/5.33 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1119, 36430, 150])).
% 5.14/5.33 tff(36436,plain,
% 5.14/5.33 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1011, 36435])).
% 5.14/5.33 tff(36437,plain,
% 5.14/5.33 (~b(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[29399, 36436, 36398, 36434, 36432])).
% 5.14/5.33 tff(36438,plain,
% 5.14/5.33 (r(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[424, 36437])).
% 5.14/5.33 tff(36439,plain,
% 5.14/5.33 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[29395, 36436, 34789, 36398, 36434, 36432])).
% 5.14/5.33 tff(36440,plain,
% 5.14/5.33 (r(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[534, 36439])).
% 5.14/5.33 tff(36441,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[18536, 36440, 36438, 150, 36428])).
% 5.14/5.33 tff(36442,plain,(b(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36443,plain,
% 5.14/5.33 (~b(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[10813, 911, 36077, 371, 486, 36442])).
% 5.14/5.33 tff(36444,plain,
% 5.14/5.33 (r(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26, 36443])).
% 5.14/5.33 tff(36445,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26411, 338, 21486, 21490, 540, 175, 600])).
% 5.14/5.33 tff(36446,plain,((~r(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36447,plain,
% 5.14/5.33 (~r(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36446, 600, 34789, 36077, 405])).
% 5.14/5.33 tff(36448,plain,
% 5.14/5.33 (~b(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[5800, 600, 34789, 651, 2911])).
% 5.14/5.33 tff(36449,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[455, 36448, 36447])).
% 5.14/5.33 tff(36450,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36451,plain,
% 5.14/5.33 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36450, 7731, 651, 36444])).
% 5.14/5.33 tff(36452,plain,
% 5.14/5.33 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[31474, 36451])).
% 5.14/5.33 tff(36453,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[35629, 36452, 911])).
% 5.14/5.33 tff(36454,plain,
% 5.14/5.33 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[639, 36453])).
% 5.14/5.33 tff(36455,plain,
% 5.14/5.33 (~r(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[432, 36444, 427])).
% 5.14/5.33 tff(36456,plain,
% 5.14/5.33 (b(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[135, 36455])).
% 5.14/5.33 tff(36457,plain,
% 5.14/5.33 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[28473, 82, 911, 36452])).
% 5.14/5.33 tff(36458,plain,
% 5.14/5.33 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[534, 36457])).
% 5.14/5.33 tff(36459,plain,
% 5.14/5.33 (~b(z, s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[25830, 36458, 36442, 36456, 36454])).
% 5.14/5.33 tff(36460,plain,
% 5.14/5.33 (r(z, s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[563, 36459])).
% 5.14/5.33 tff(36461,plain,
% 5.14/5.33 (~b(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[27536, 36458, 34789, 36442, 371, 7731, 651])).
% 5.14/5.33 tff(36462,plain,
% 5.14/5.33 (r(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[455, 36461])).
% 5.14/5.33 tff(36463,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[619, 36462, 36460, 36444])).
% 5.14/5.33 tff(36464,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36465,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36464, 651, 371, 427, 404])).
% 5.14/5.33 tff(36466,plain,
% 5.14/5.33 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[689, 36465])).
% 5.14/5.33 tff(36467,plain,
% 5.14/5.33 (~r(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26366, 457, 36077, 651, 1741, 427])).
% 5.14/5.33 tff(36468,plain,
% 5.14/5.33 (b(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[119, 36467])).
% 5.14/5.33 tff(36469,plain,
% 5.14/5.33 ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(elem!1))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3262, 30991])).
% 5.14/5.33 tff(36470,plain,
% 5.14/5.33 (~b(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36469, 36468, 36077, 404, 539])).
% 5.14/5.33 tff(36471,plain,
% 5.14/5.33 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[10509, 1741, 36077, 36442, 539])).
% 5.14/5.33 tff(36472,plain,
% 5.14/5.33 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1011, 36471])).
% 5.14/5.33 tff(36473,plain,
% 5.14/5.33 (~b(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3859, 457, 36442, 1741, 404])).
% 5.14/5.33 tff(36474,plain,
% 5.14/5.33 (r(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26, 36473])).
% 5.14/5.33 tff(36475,plain,
% 5.14/5.33 (~r(s(s(elem!1)), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[31780, 36468, 36474, 651])).
% 5.14/5.33 tff(36476,plain,
% 5.14/5.33 (b(s(s(elem!1)), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[800, 36475])).
% 5.14/5.33 tff(36477,plain,
% 5.14/5.33 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[11503, 36476, 36077, 36442, 404, 457])).
% 5.14/5.33 tff(36478,plain,
% 5.14/5.33 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[34886, 36477])).
% 5.14/5.33 tff(36479,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[18334, 36478, 36472])).
% 5.14/5.33 tff(36480,plain,
% 5.14/5.33 (s(s(s(z))) = s(s(elem!1))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[6754, 36479, 36470])).
% 5.14/5.33 tff(36481,plain,
% 5.14/5.33 (s(z) = elem!1),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1237, 36480])).
% 5.14/5.33 tff(36482,plain,
% 5.14/5.33 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), elem!1)),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36481])).
% 5.14/5.33 tff(36483,plain,
% 5.14/5.33 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(symmetry,[status(thm)],[36482])).
% 5.14/5.33 tff(36484,plain,
% 5.14/5.33 ((~b(s(s(s(s(z)))), elem!1)) <=> (~b(s(s(s(s(z)))), s(z)))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36483])).
% 5.14/5.33 tff(36485,plain,
% 5.14/5.33 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36450, 36468, 651, 36474])).
% 5.14/5.33 tff(36486,plain,
% 5.14/5.33 (~(s(s(s(elem!1))) = s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[31127, 36485])).
% 5.14/5.33 tff(36487,plain,
% 5.14/5.33 (~(z = elem!1)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[31130, 36486])).
% 5.14/5.33 tff(36488,plain,
% 5.14/5.33 (elem!1 = s(z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[752, 36481])).
% 5.14/5.33 tff(36489,plain,
% 5.14/5.33 (~r(z, elem!1)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[899, 36488, 393])).
% 5.14/5.33 tff(36490,plain,
% 5.14/5.33 (b(z, elem!1)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[353, 36489, 36487])).
% 5.14/5.33 tff(36491,plain,
% 5.14/5.33 (~b(s(s(s(s(z)))), elem!1)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[4967, 36490, 36077, 651, 539, 457])).
% 5.14/5.33 tff(36492,plain,
% 5.14/5.33 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(modus_ponens,[status(thm)],[36491, 36484])).
% 5.14/5.33 tff(36493,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36468, 36492])).
% 5.14/5.33 tff(36494,plain,((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | r(z, s(z)) | (~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36495,plain,
% 5.14/5.33 (~b(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36494, 1741, 36466, 393, 651, 427])).
% 5.14/5.33 tff(36496,plain,
% 5.14/5.33 (r(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[424, 36495])).
% 5.14/5.33 tff(36497,plain,
% 5.14/5.33 (~b(z, s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[22526, 36496, 36077, 36442, 1741, 36466])).
% 5.14/5.33 tff(36498,plain,
% 5.14/5.33 (r(z, s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[563, 36497])).
% 5.14/5.33 tff(36499,plain,
% 5.14/5.33 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[10509, 1741, 36077, 36442, 36466])).
% 5.14/5.33 tff(36500,plain,
% 5.14/5.33 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1011, 36499])).
% 5.14/5.33 tff(36501,plain,
% 5.14/5.33 (~r(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3437, 36496, 36500])).
% 5.14/5.33 tff(36502,plain,
% 5.14/5.33 (b(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[119, 36501])).
% 5.14/5.33 tff(36503,plain,
% 5.14/5.33 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[5882, 36496, 36500])).
% 5.14/5.33 tff(36504,plain,
% 5.14/5.33 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[534, 36503])).
% 5.14/5.33 tff(36505,plain,
% 5.14/5.33 (~b(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[27536, 36504, 34789, 36442, 371, 36502, 651])).
% 5.14/5.33 tff(36506,plain,
% 5.14/5.33 (r(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[455, 36505])).
% 5.14/5.33 tff(36507,plain,
% 5.14/5.33 (~b(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3204, 36502, 36077, 404, 651])).
% 5.14/5.33 tff(36508,plain,
% 5.14/5.33 (r(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26, 36507])).
% 5.14/5.33 tff(36509,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[619, 36508, 36506, 36498])).
% 5.14/5.33 tff(36510,plain,((~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | r(z, s(z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36511,plain,
% 5.14/5.33 (~b(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36510, 651, 371, 393, 427])).
% 5.14/5.33 tff(36512,plain,
% 5.14/5.33 (r(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[135, 36511])).
% 5.14/5.33 tff(36513,plain,
% 5.14/5.33 (~r(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[432, 36512, 427])).
% 5.14/5.33 tff(36514,plain,
% 5.14/5.33 (b(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26, 36513])).
% 5.14/5.33 tff(36515,plain,
% 5.14/5.33 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3204, 36514, 36077, 404, 651])).
% 5.14/5.33 tff(36516,plain,
% 5.14/5.33 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[119, 36515])).
% 5.14/5.33 tff(36517,plain,
% 5.14/5.33 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[11489, 36516, 36442, 404, 36514])).
% 5.14/5.33 tff(36518,plain,
% 5.14/5.33 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1011, 36517])).
% 5.14/5.33 tff(36519,plain,
% 5.14/5.33 (~r(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[29067, 36518, 34789, 427, 651, 36466])).
% 5.14/5.33 tff(36520,plain,
% 5.14/5.33 (b(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[455, 36519])).
% 5.14/5.33 tff(36521,plain,
% 5.14/5.33 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[29083, 36520, 34789, 427, 651, 36512, 36514])).
% 5.14/5.33 tff(36522,plain,
% 5.14/5.33 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[534, 36521])).
% 5.14/5.33 tff(36523,plain,
% 5.14/5.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(rewrite,[status(thm)],[])).
% 5.14/5.33 tff(36524,plain,
% 5.14/5.33 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(rewrite,[status(thm)],[])).
% 5.14/5.33 tff(36525,plain,
% 5.14/5.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36524])).
% 5.14/5.33 tff(36526,plain,
% 5.14/5.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(transitivity,[status(thm)],[36525, 36523])).
% 5.14/5.33 tff(36527,plain,
% 5.14/5.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.33 inference(quant_inst,[status(thm)],[])).
% 5.14/5.33 tff(36528,plain,
% 5.14/5.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.33 inference(modus_ponens,[status(thm)],[36527, 36526])).
% 5.14/5.33 tff(36529,plain,
% 5.14/5.33 (~b(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36528, 338, 36522, 36518, 36466, 34789, 30991])).
% 5.14/5.33 tff(36530,plain,
% 5.14/5.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(rewrite,[status(thm)],[])).
% 5.14/5.33 tff(36531,plain,
% 5.14/5.33 (((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(rewrite,[status(thm)],[])).
% 5.14/5.33 tff(36532,plain,
% 5.14/5.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36531])).
% 5.14/5.33 tff(36533,plain,
% 5.14/5.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.33 inference(transitivity,[status(thm)],[36532, 36530])).
% 5.14/5.33 tff(36534,plain,
% 5.14/5.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))),
% 5.14/5.33 inference(quant_inst,[status(thm)],[])).
% 5.14/5.33 tff(36535,plain,
% 5.14/5.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.33 inference(modus_ponens,[status(thm)],[36534, 36533])).
% 5.14/5.33 tff(36536,plain,
% 5.14/5.33 (~b(s(s(elem!1)), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36535, 338, 36522, 36518, 651, 34789, 30991])).
% 5.14/5.33 tff(36537,plain,
% 5.14/5.33 (r(s(s(elem!1)), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[784, 36536])).
% 5.14/5.33 tff(36538,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[14054, 36537, 427])).
% 5.14/5.33 tff(36539,plain,
% 5.14/5.33 (s(s(s(z))) = s(s(elem!1))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[6754, 36538, 36529])).
% 5.14/5.33 tff(36540,plain,
% 5.14/5.33 (s(z) = elem!1),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[1237, 36539])).
% 5.14/5.33 tff(36541,plain,
% 5.14/5.33 (s(s(z)) = s(elem!1)),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36540])).
% 5.14/5.33 tff(36542,plain,
% 5.14/5.33 (s(s(s(z))) = s(s(elem!1))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36541])).
% 5.14/5.33 tff(36543,plain,
% 5.14/5.33 (s(s(s(s(z)))) = s(s(s(elem!1)))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36542])).
% 5.14/5.33 tff(36544,plain,
% 5.14/5.33 (r(z, s(s(s(s(z))))) <=> r(z, s(s(s(elem!1))))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36543])).
% 5.14/5.33 tff(36545,plain,
% 5.14/5.33 (r(z, s(s(s(elem!1))))),
% 5.14/5.33 inference(modus_ponens,[status(thm)],[371, 36544])).
% 5.14/5.33 tff(36546,plain,
% 5.14/5.33 (r(s(s(z)), z) <=> r(s(elem!1), z)),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36541])).
% 5.14/5.33 tff(36547,plain,
% 5.14/5.33 (~b(s(s(z)), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3952, 338, 36522, 36442, 651, 36520, 34789])).
% 5.14/5.33 tff(36548,plain,
% 5.14/5.33 (r(s(s(z)), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[956, 36547])).
% 5.14/5.33 tff(36549,plain,
% 5.14/5.33 (r(s(elem!1), z)),
% 5.14/5.33 inference(modus_ponens,[status(thm)],[36548, 36546])).
% 5.14/5.33 tff(36550,plain,
% 5.14/5.33 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 5.14/5.33 inference(symmetry,[status(thm)],[36543])).
% 5.14/5.33 tff(36551,plain,
% 5.14/5.33 (r(s(elem!1), s(s(s(elem!1)))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36550])).
% 5.14/5.33 tff(36552,plain,
% 5.14/5.33 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(elem!1))))),
% 5.14/5.33 inference(symmetry,[status(thm)],[36551])).
% 5.14/5.33 tff(36553,plain,
% 5.14/5.33 (r(s(s(z)), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 5.14/5.33 inference(monotonicity,[status(thm)],[36541])).
% 5.14/5.33 tff(36554,plain,
% 5.14/5.33 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[13638, 36522, 34789, 36518, 36466])).
% 5.14/5.33 tff(36555,plain,
% 5.14/5.33 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[31474, 36554])).
% 5.14/5.33 tff(36556,plain,
% 5.14/5.33 (r(s(elem!1), s(s(s(s(z)))))),
% 5.14/5.33 inference(modus_ponens,[status(thm)],[36555, 36553])).
% 5.14/5.33 tff(36557,plain,
% 5.14/5.33 (r(s(elem!1), s(s(s(elem!1))))),
% 5.14/5.33 inference(modus_ponens,[status(thm)],[36556, 36552])).
% 5.14/5.33 tff(36558,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[7046, 36557, 36549, 36545])).
% 5.14/5.33 tff(36559,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | r(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36560,plain,
% 5.14/5.33 (~b(s(z), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36559, 371, 427, 393])).
% 5.14/5.33 tff(36561,plain,
% 5.14/5.33 (r(s(z), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[106, 36560])).
% 5.14/5.33 tff(36562,plain,
% 5.14/5.33 (~r(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[552, 36561, 371])).
% 5.14/5.33 tff(36563,plain,
% 5.14/5.33 (b(s(z), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[26, 36562])).
% 5.14/5.33 tff(36564,plain,
% 5.14/5.33 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[2959, 36561, 427])).
% 5.14/5.33 tff(36565,plain,
% 5.14/5.33 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[689, 36564])).
% 5.14/5.33 tff(36566,plain,
% 5.14/5.33 (~b(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[3859, 1741, 36442, 1740, 486])).
% 5.14/5.33 tff(36567,plain,
% 5.14/5.33 (~r(s(z), s(s(s(z))))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[22339, 1741, 36077, 427, 72])).
% 5.14/5.33 tff(36568,plain,
% 5.14/5.33 ($false),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[424, 36567, 36566])).
% 5.14/5.33 tff(36569,plain,((~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.33 tff(36570,plain,
% 5.14/5.33 (~b(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[36569, 36561, 427, 36563, 404])).
% 5.14/5.33 tff(36571,plain,
% 5.14/5.33 (r(s(s(s(z))), z)),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[135, 36570])).
% 5.14/5.33 tff(36572,plain,
% 5.14/5.33 (~r(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[13187, 406, 487])).
% 5.14/5.33 tff(36573,plain,
% 5.14/5.33 (b(s(z), s(s(z)))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[455, 36572])).
% 5.14/5.33 tff(36574,plain,
% 5.14/5.33 (~b(s(s(z)), s(z))),
% 5.14/5.33 inference(unit_resolution,[status(thm)],[30815, 36573, 2431, 486, 1740])).
% 5.14/5.34 tff(36575,plain,
% 5.14/5.34 (r(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[472, 36574])).
% 5.14/5.34 tff(36576,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[3882, 82, 487, 406, 36575])).
% 5.14/5.34 tff(36577,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(z)), s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36578,plain,
% 5.14/5.34 (~r(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36577, 487, 29073, 486, 1740])).
% 5.14/5.34 tff(36579,plain,
% 5.14/5.34 (b(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[424, 36578])).
% 5.14/5.34 tff(36580,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.34 inference(rewrite,[status(thm)],[])).
% 5.14/5.34 tff(36581,plain,
% 5.14/5.34 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.34 inference(rewrite,[status(thm)],[])).
% 5.14/5.34 tff(36582,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 5.14/5.34 inference(monotonicity,[status(thm)],[36581])).
% 5.14/5.34 tff(36583,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.34 inference(transitivity,[status(thm)],[36582, 36580])).
% 5.14/5.34 tff(36584,plain,
% 5.14/5.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 5.14/5.34 inference(quant_inst,[status(thm)],[])).
% 5.14/5.34 tff(36585,plain,
% 5.14/5.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))),
% 5.14/5.34 inference(modus_ponens,[status(thm)],[36584, 36583])).
% 5.14/5.34 tff(36586,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36585, 338, 486, 36579, 36442, 29073, 34789, 36077])).
% 5.14/5.34 tff(36587,plain,((~r(s(s(z)), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36588,plain,
% 5.14/5.34 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36587, 36563, 404, 36571])).
% 5.14/5.34 tff(36589,plain,
% 5.14/5.34 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[534, 36588])).
% 5.14/5.34 tff(36590,plain,
% 5.14/5.34 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[13638, 24132, 34789, 476, 539])).
% 5.14/5.34 tff(36591,plain,
% 5.14/5.34 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[31474, 36590])).
% 5.14/5.34 tff(36592,plain,
% 5.14/5.34 (~r(s(z), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[552, 72, 371])).
% 5.14/5.34 tff(36593,plain,
% 5.14/5.34 (b(s(z), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[26, 36592])).
% 5.14/5.34 tff(36594,plain,
% 5.14/5.34 (~r(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[30897, 24132, 34789, 72, 406])).
% 5.14/5.34 tff(36595,plain,
% 5.14/5.34 (b(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[455, 36594])).
% 5.14/5.34 tff(36596,plain,
% 5.14/5.34 (~r(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[581, 82, 72, 36591])).
% 5.14/5.34 tff(36597,plain,
% 5.14/5.34 (b(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[472, 36596])).
% 5.14/5.34 tff(36598,plain,
% 5.14/5.34 (~b(s(s(z)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[30815, 36597, 36595, 486, 36593])).
% 5.14/5.34 tff(36599,plain,
% 5.14/5.34 (r(s(s(z)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[956, 36598])).
% 5.14/5.34 tff(36600,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[18546, 82, 36599, 371, 36591])).
% 5.14/5.34 tff(36601,plain,((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36602,plain,
% 5.14/5.34 (~r(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36601, 371, 404, 36561, 36589, 36565])).
% 5.14/5.34 tff(36603,plain,
% 5.14/5.34 (b(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[424, 36602])).
% 5.14/5.34 tff(36604,plain,
% 5.14/5.34 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[3847, 338, 404, 36603, 36563, 36442, 36077])).
% 5.14/5.34 tff(36605,plain,
% 5.14/5.34 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[119, 36604])).
% 5.14/5.34 tff(36606,plain,
% 5.14/5.34 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[11489, 36605, 36442, 404, 36563])).
% 5.14/5.34 tff(36607,plain,
% 5.14/5.34 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[1011, 36606])).
% 5.14/5.34 tff(36608,plain,
% 5.14/5.34 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[13638, 36607, 34789, 36589, 36565])).
% 5.14/5.34 tff(36609,plain,
% 5.14/5.34 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[31474, 36608])).
% 5.14/5.34 tff(36610,plain,
% 5.14/5.34 (~r(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[28674, 36609, 36561])).
% 5.14/5.34 tff(36611,plain,
% 5.14/5.34 (b(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[455, 36610])).
% 5.14/5.34 tff(36612,plain,
% 5.14/5.34 (~r(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[581, 82, 36561, 36609])).
% 5.14/5.34 tff(36613,plain,
% 5.14/5.34 (b(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[472, 36612])).
% 5.14/5.34 tff(36614,plain,
% 5.14/5.34 (~r(s(s(z)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[18546, 82, 371, 36609])).
% 5.14/5.34 tff(36615,plain,
% 5.14/5.34 (b(s(s(z)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[956, 36614])).
% 5.14/5.34 tff(36616,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[30815, 36615, 36613, 36611, 404, 36563])).
% 5.14/5.34 tff(36617,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | r(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36618,plain,
% 5.14/5.34 (~r(z, s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36617, 427, 393])).
% 5.14/5.34 tff(36619,plain,
% 5.14/5.34 (b(z, s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[391, 36618])).
% 5.14/5.34 tff(36620,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[34698, 7731, 7733, 36077, 555])).
% 5.14/5.34 tff(36621,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36622,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36621, 36619, 427])).
% 5.14/5.34 tff(36623,plain,
% 5.14/5.34 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[689, 36622])).
% 5.14/5.34 tff(36624,plain,
% 5.14/5.34 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[21871, 36623, 36077, 36442, 36619])).
% 5.14/5.34 tff(36625,plain,
% 5.14/5.34 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[1011, 36624])).
% 5.14/5.34 tff(36626,plain,
% 5.14/5.34 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[21528, 36623, 36077, 36442, 404, 36619])).
% 5.14/5.34 tff(36627,plain,
% 5.14/5.34 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[119, 36626])).
% 5.14/5.34 tff(36628,plain,
% 5.14/5.34 (~b(s(z), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[11489, 36627, 36442, 404, 36625])).
% 5.14/5.34 tff(36629,plain,
% 5.14/5.34 (~b(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[25652, 36623, 36077, 36442, 36619])).
% 5.14/5.34 tff(36630,plain,
% 5.14/5.34 (r(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[135, 36629])).
% 5.14/5.34 tff(36631,plain,
% 5.14/5.34 (~r(s(z), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[432, 36630, 427])).
% 5.14/5.34 tff(36632,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[26, 36631, 36628])).
% 5.14/5.34 tff(36633,plain,((~r(s(s(s(z))), s(z))) | r(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36634,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36633, 393])).
% 5.14/5.34 tff(36635,plain,
% 5.14/5.34 (b(s(s(s(z))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[437, 36634])).
% 5.14/5.34 tff(36636,plain,
% 5.14/5.34 (~r(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[26578, 555, 36077, 486, 405])).
% 5.14/5.34 tff(36637,plain,
% 5.14/5.34 (b(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[455, 36636])).
% 5.14/5.34 tff(36638,plain,
% 5.14/5.34 (~b(s(z), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[21562, 338, 486, 36442, 458, 36637, 34789])).
% 5.14/5.34 tff(36639,plain,
% 5.14/5.34 (r(s(z), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[106, 36638])).
% 5.14/5.34 tff(36640,plain,
% 5.14/5.34 (~r(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[22019, 36639, 36077, 36442, 555])).
% 5.14/5.34 tff(36641,plain,
% 5.14/5.34 (b(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[424, 36640])).
% 5.14/5.34 tff(36642,plain,
% 5.14/5.34 (~b(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[24717, 338, 486, 36641, 36442, 458])).
% 5.14/5.34 tff(36643,plain,
% 5.14/5.34 (r(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[135, 36642])).
% 5.14/5.34 tff(36644,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36353, 36643, 555])).
% 5.14/5.34 tff(36645,plain,
% 5.14/5.34 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[639, 36644])).
% 5.14/5.34 tff(36646,plain,
% 5.14/5.34 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 5.14/5.34 inference(rewrite,[status(thm)],[])).
% 5.14/5.34 tff(36647,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))))),
% 5.14/5.34 inference(monotonicity,[status(thm)],[36646])).
% 5.14/5.34 tff(36648,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 5.14/5.34 inference(transitivity,[status(thm)],[36647, 21545])).
% 5.14/5.34 tff(36649,plain,
% 5.14/5.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 5.14/5.34 inference(quant_inst,[status(thm)],[])).
% 5.14/5.34 tff(36650,plain,
% 5.14/5.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))),
% 5.14/5.34 inference(modus_ponens,[status(thm)],[36649, 36648])).
% 5.14/5.34 tff(36651,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36650, 338, 486, 36641, 36442, 458, 36645, 36637])).
% 5.14/5.34 tff(36652,plain,((~b(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36653,plain,
% 5.14/5.34 (~b(z, s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36652, 405, 458, 486])).
% 5.14/5.34 tff(36654,plain,
% 5.14/5.34 (r(z, s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[391, 36653])).
% 5.14/5.34 tff(36655,plain,
% 5.14/5.34 (~r(s(z), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[552, 36654, 405])).
% 5.14/5.34 tff(36656,plain,
% 5.14/5.34 (b(s(z), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[106, 36655])).
% 5.14/5.34 tff(36657,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.34 inference(rewrite,[status(thm)],[])).
% 5.14/5.34 tff(36658,plain,
% 5.14/5.34 (((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.34 inference(rewrite,[status(thm)],[])).
% 5.14/5.34 tff(36659,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.34 inference(monotonicity,[status(thm)],[36658])).
% 5.14/5.34 tff(36660,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.34 inference(transitivity,[status(thm)],[36659, 36657])).
% 5.14/5.34 tff(36661,plain,
% 5.14/5.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 5.14/5.34 inference(quant_inst,[status(thm)],[])).
% 5.14/5.34 tff(36662,plain,
% 5.14/5.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.34 inference(modus_ponens,[status(thm)],[36661, 36660])).
% 5.14/5.34 tff(36663,plain,
% 5.14/5.34 (~b(s(z), s(s(elem!1)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36662, 338, 486, 36442, 458, 36656, 30991])).
% 5.14/5.34 tff(36664,plain,
% 5.14/5.34 (r(s(z), s(s(elem!1)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[743, 36663])).
% 5.14/5.34 tff(36665,plain,
% 5.14/5.34 (~r(s(s(elem!1)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[17354, 36664, 405])).
% 5.14/5.34 tff(36666,plain,
% 5.14/5.34 (b(s(s(elem!1)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[800, 36665])).
% 5.14/5.34 tff(36667,plain,
% 5.14/5.34 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[11503, 457, 36077, 36442, 486, 36666])).
% 5.14/5.34 tff(36668,plain,
% 5.14/5.34 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[34886, 36667])).
% 5.14/5.34 tff(36669,plain,
% 5.14/5.34 (~r(s(s(s(s(z)))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[15263, 36668, 36664])).
% 5.14/5.34 tff(36670,plain,
% 5.14/5.34 (b(s(s(s(s(z)))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[119, 36669])).
% 5.14/5.34 tff(36671,plain,
% 5.14/5.34 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[5079, 36670, 458, 457, 36656])).
% 5.14/5.34 tff(36672,plain,
% 5.14/5.34 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[1011, 36671])).
% 5.14/5.34 tff(36673,plain,
% 5.14/5.34 (~r(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[26437, 36672, 36077, 36656, 486, 457, 36670, 405, 36654])).
% 5.14/5.34 tff(36674,plain,
% 5.14/5.34 (b(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[563, 36673])).
% 5.14/5.34 tff(36675,plain,
% 5.14/5.34 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36450, 36670, 405, 36656])).
% 5.14/5.34 tff(36676,plain,
% 5.14/5.34 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[31474, 36675])).
% 5.14/5.34 tff(36677,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[35629, 36676, 911])).
% 5.14/5.34 tff(36678,plain,
% 5.14/5.34 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[639, 36677])).
% 5.14/5.34 tff(36679,plain,
% 5.14/5.34 (~b(s(s(z)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[30345, 36678, 36442, 1741, 36674])).
% 5.14/5.34 tff(36680,plain,
% 5.14/5.34 (r(s(s(z)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[956, 36679])).
% 5.14/5.34 tff(36681,plain,
% 5.14/5.34 (~r(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[21488, 36680, 405])).
% 5.14/5.34 tff(36682,plain,
% 5.14/5.34 (b(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[455, 36681])).
% 5.14/5.34 tff(36683,plain,
% 5.14/5.34 (~r(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[30420, 36680, 405])).
% 5.14/5.34 tff(36684,plain,
% 5.14/5.34 (b(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[472, 36683])).
% 5.14/5.34 tff(36685,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[2919, 36684, 36682, 34789, 36656, 36670])).
% 5.14/5.34 tff(36686,plain,((~b(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36687,plain,
% 5.14/5.34 (~b(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36686, 1741, 405, 911, 486, 458])).
% 5.14/5.34 tff(36688,plain,
% 5.14/5.34 (r(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[424, 36687])).
% 5.14/5.34 tff(36689,plain,
% 5.14/5.34 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36446, 70, 34789, 36077, 405])).
% 5.14/5.34 tff(36690,plain,
% 5.14/5.34 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[31474, 36689])).
% 5.14/5.34 tff(36691,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[35629, 36690, 911])).
% 5.14/5.34 tff(36692,plain,
% 5.14/5.34 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[31749, 21490, 36442, 21486, 19282])).
% 5.14/5.34 tff(36693,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[639, 36692, 36691])).
% 5.14/5.34 tff(36694,plain,((~r(s(z), s(s(z)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36695,plain,
% 5.14/5.34 (~r(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36694, 36688, 405, 911])).
% 5.14/5.34 tff(36696,plain,
% 5.14/5.34 (b(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[455, 36695])).
% 5.14/5.34 tff(36697,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 5.14/5.34 inference(rewrite,[status(thm)],[])).
% 5.14/5.34 tff(36698,plain,
% 5.14/5.34 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 5.14/5.34 inference(rewrite,[status(thm)],[])).
% 5.14/5.34 tff(36699,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))))),
% 5.14/5.34 inference(monotonicity,[status(thm)],[36698])).
% 5.14/5.34 tff(36700,plain,
% 5.14/5.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))))),
% 5.14/5.34 inference(transitivity,[status(thm)],[36699, 36697])).
% 5.14/5.34 tff(36701,plain,
% 5.14/5.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 5.14/5.34 inference(quant_inst,[status(thm)],[])).
% 5.14/5.34 tff(36702,plain,
% 5.14/5.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z))))),
% 5.14/5.34 inference(modus_ponens,[status(thm)],[36701, 36700])).
% 5.14/5.34 tff(36703,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36702, 338, 486, 1741, 458, 36656, 36696, 34789])).
% 5.14/5.34 tff(36704,plain,((~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36705,plain,
% 5.14/5.34 (~b(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36704, 911, 458, 405, 486])).
% 5.14/5.34 tff(36706,plain,
% 5.14/5.34 (r(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[135, 36705])).
% 5.14/5.34 tff(36707,plain,
% 5.14/5.34 (~r(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[20840, 82, 405, 36706])).
% 5.14/5.34 tff(36708,plain,
% 5.14/5.34 (b(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[424, 36707])).
% 5.14/5.34 tff(36709,plain,
% 5.14/5.34 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[11503, 36708, 36077, 36442, 486, 36666])).
% 5.14/5.34 tff(36710,plain,
% 5.14/5.34 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[34886, 36709])).
% 5.14/5.34 tff(36711,plain,
% 5.14/5.34 (~r(s(s(s(s(z)))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[15263, 36710, 36664])).
% 5.14/5.34 tff(36712,plain,
% 5.14/5.34 (b(s(s(s(s(z)))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[119, 36711])).
% 5.14/5.34 tff(36713,plain,
% 5.14/5.34 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36450, 36712, 405, 36656])).
% 5.14/5.34 tff(36714,plain,
% 5.14/5.34 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[31474, 36713])).
% 5.14/5.34 tff(36715,plain,
% 5.14/5.34 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[28473, 82, 911, 36714])).
% 5.14/5.34 tff(36716,plain,
% 5.14/5.34 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[534, 36715])).
% 5.14/5.34 tff(36717,plain,
% 5.14/5.34 (~b(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[18442, 36716, 36077, 36712, 486, 36708])).
% 5.14/5.34 tff(36718,plain,
% 5.14/5.34 (r(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[455, 36717])).
% 5.14/5.34 tff(36719,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[35629, 36714, 911])).
% 5.14/5.34 tff(36720,plain,
% 5.14/5.34 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[639, 36719])).
% 5.14/5.34 tff(36721,plain,
% 5.14/5.34 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[5079, 36712, 458, 36708, 36656])).
% 5.14/5.34 tff(36722,plain,
% 5.14/5.34 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[1011, 36721])).
% 5.14/5.34 tff(36723,plain,
% 5.14/5.34 (~r(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[26437, 36722, 36077, 36656, 486, 36708, 36712, 405, 36654])).
% 5.14/5.34 tff(36724,plain,
% 5.14/5.34 (b(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[563, 36723])).
% 5.14/5.34 tff(36725,plain,
% 5.14/5.34 (~b(s(s(z)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[31749, 36716, 36442, 36724, 36720])).
% 5.14/5.34 tff(36726,plain,
% 5.14/5.34 (r(s(s(z)), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[956, 36725])).
% 5.14/5.34 tff(36727,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[21488, 36726, 36718, 405])).
% 5.14/5.34 tff(36728,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36729,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36728, 405, 486, 458])).
% 5.14/5.34 tff(36730,plain,
% 5.14/5.34 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[689, 36729])).
% 5.14/5.34 tff(36731,plain,
% 5.14/5.34 (~b(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[659, 36730, 34789, 36077, 458, 36656])).
% 5.14/5.34 tff(36732,plain,
% 5.14/5.34 (r(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[563, 36731])).
% 5.14/5.34 tff(36733,plain,
% 5.14/5.34 (~r(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[619, 36732, 405])).
% 5.14/5.34 tff(36734,plain,
% 5.14/5.34 (b(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[455, 36733])).
% 5.14/5.34 tff(36735,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[21562, 338, 486, 36442, 458, 36656, 36734, 34789])).
% 5.14/5.34 tff(36736,plain,((~r(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36737,plain,
% 5.14/5.34 (~r(s(z), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36736, 404, 36635])).
% 5.14/5.34 tff(36738,plain,
% 5.14/5.34 (b(s(z), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[26, 36737])).
% 5.14/5.34 tff(36739,plain,
% 5.14/5.34 (~b(s(z), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[3427, 338, 404, 36738, 36442, 36635, 36077])).
% 5.14/5.34 tff(36740,plain,
% 5.14/5.34 (r(s(z), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[106, 36739])).
% 5.14/5.34 tff(36741,plain,
% 5.14/5.34 (~b(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[3607, 36738, 36442, 404, 36635])).
% 5.14/5.34 tff(36742,plain,
% 5.14/5.34 (r(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[135, 36741])).
% 5.14/5.34 tff(36743,plain,
% 5.14/5.34 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36587, 36742, 404, 36738])).
% 5.14/5.34 tff(36744,plain,
% 5.14/5.34 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[534, 36743])).
% 5.14/5.34 tff(36745,plain,
% 5.14/5.34 (~b(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[3356, 36738, 36442, 36635, 404])).
% 5.14/5.34 tff(36746,plain,
% 5.14/5.34 (r(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[424, 36745])).
% 5.14/5.34 tff(36747,plain,
% 5.14/5.34 (~b(z, s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[22019, 36740, 36077, 36442, 36746])).
% 5.14/5.34 tff(36748,plain,
% 5.14/5.34 (r(z, s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[391, 36747])).
% 5.14/5.34 tff(36749,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[11205, 36740, 36746])).
% 5.14/5.34 tff(36750,plain,
% 5.14/5.34 (b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[689, 36749])).
% 5.14/5.34 tff(36751,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36601, 36750, 36748, 404, 36746, 36744, 36740])).
% 5.14/5.34 tff(36752,plain,(r(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36753,plain,
% 5.14/5.34 (~r(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[2492, 70, 36752])).
% 5.14/5.34 tff(36754,plain,
% 5.14/5.34 (b(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[563, 36753])).
% 5.14/5.34 tff(36755,plain,
% 5.14/5.34 (~r(z, s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[11465, 72, 36752])).
% 5.14/5.34 tff(36756,plain,
% 5.14/5.34 (b(z, s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[391, 36755])).
% 5.14/5.34 tff(36757,plain,
% 5.14/5.34 (~r(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[22019, 36756, 36077, 36442, 72])).
% 5.14/5.34 tff(36758,plain,
% 5.14/5.34 (b(s(z), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[424, 36757])).
% 5.14/5.34 tff(36759,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[982, 29925, 24139, 34789, 36077, 36078])).
% 5.14/5.34 tff(36760,plain,((~r(z, s(z))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36761,plain,
% 5.14/5.34 (~r(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36760, 72, 36752])).
% 5.14/5.34 tff(36762,plain,
% 5.14/5.34 (b(s(z), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[455, 36761])).
% 5.14/5.34 tff(36763,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36353, 426, 36756])).
% 5.14/5.34 tff(36764,plain,
% 5.14/5.34 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[639, 36763])).
% 5.14/5.34 tff(36765,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[19094, 426, 36752])).
% 5.14/5.34 tff(36766,plain,
% 5.14/5.34 (b(s(s(s(z))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[437, 36765])).
% 5.14/5.34 tff(36767,plain,
% 5.14/5.34 (~b(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[21859, 36766, 34789, 36077, 36758, 426, 72, 36756])).
% 5.14/5.34 tff(36768,plain,
% 5.14/5.34 (r(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[563, 36767])).
% 5.14/5.34 tff(36769,plain,
% 5.14/5.34 (~r(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[2514, 36768, 36752])).
% 5.14/5.34 tff(36770,plain,
% 5.14/5.34 (b(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[472, 36769])).
% 5.14/5.34 tff(36771,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[2480, 338, 36758, 36770, 36766, 36764, 36762])).
% 5.14/5.34 tff(36772,plain,((~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.34 tff(36773,plain,
% 5.14/5.34 (~r(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[36772, 72])).
% 5.14/5.34 tff(36774,plain,
% 5.14/5.34 (b(s(s(s(z))), z)),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[135, 36773])).
% 5.14/5.34 tff(36775,plain,
% 5.14/5.34 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[26503, 36774, 36077, 36442, 36756])).
% 5.14/5.34 tff(36776,plain,
% 5.14/5.34 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[1011, 36775])).
% 5.14/5.34 tff(36777,plain,
% 5.14/5.34 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[25652, 36774, 36077, 36442, 36756])).
% 5.14/5.34 tff(36778,plain,
% 5.14/5.34 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[689, 36777])).
% 5.14/5.34 tff(36779,plain,
% 5.14/5.34 (~r(s(s(s(z))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[2959, 36778, 72])).
% 5.14/5.34 tff(36780,plain,
% 5.14/5.34 (b(s(s(s(z))), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[437, 36779])).
% 5.14/5.34 tff(36781,plain,
% 5.14/5.34 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[27102, 36780, 34789, 36077, 36752, 72, 36758])).
% 5.14/5.34 tff(36782,plain,
% 5.14/5.34 (r(s(s(z)), s(s(s(z))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[534, 36781])).
% 5.14/5.34 tff(36783,plain,
% 5.14/5.34 (~r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[20909, 82, 36782, 36776])).
% 5.14/5.34 tff(36784,plain,
% 5.14/5.34 (b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[31474, 36783])).
% 5.14/5.34 tff(36785,plain,
% 5.14/5.34 (~b(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[982, 36784, 34789, 36077, 36756])).
% 5.14/5.34 tff(36786,plain,
% 5.14/5.34 (r(z, s(s(z)))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[563, 36785])).
% 5.14/5.34 tff(36787,plain,
% 5.14/5.34 (~r(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[2514, 36786, 36752])).
% 5.14/5.34 tff(36788,plain,
% 5.14/5.34 (b(s(s(z)), s(z))),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[472, 36787])).
% 5.14/5.34 tff(36789,plain,
% 5.14/5.34 ($false),
% 5.14/5.34 inference(unit_resolution,[status(thm)],[20921, 338, 475, 474, 2911, 34789, 600])).
% 5.14/5.34 tff(36790,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36791,plain,
% 5.14/5.35 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36790, 36788, 36762, 36784])).
% 5.14/5.35 tff(36792,plain,
% 5.14/5.35 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[119, 36791])).
% 5.14/5.35 tff(36793,plain,
% 5.14/5.35 (~(s(z) = elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36175, 36777])).
% 5.14/5.35 tff(36794,plain,
% 5.14/5.35 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1237, 36793])).
% 5.14/5.35 tff(36795,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36124, 338, 2431, 34789, 36077, 600, 555])).
% 5.14/5.35 tff(36796,plain,((~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36797,plain,
% 5.14/5.35 (~b(s(s(z)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36796, 36784, 36756])).
% 5.14/5.35 tff(36798,plain,
% 5.14/5.35 (r(s(s(z)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[956, 36797])).
% 5.14/5.35 tff(36799,plain,
% 5.14/5.35 (b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[31474, 26399])).
% 5.14/5.35 tff(36800,plain,
% 5.14/5.35 (~b(z, s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[982, 36799, 34789, 36077, 555])).
% 5.14/5.35 tff(36801,plain,
% 5.14/5.35 (r(z, s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[563, 36800])).
% 5.14/5.35 tff(36802,plain,
% 5.14/5.35 (~r(s(s(z)), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2514, 36801, 36752])).
% 5.14/5.35 tff(36803,plain,
% 5.14/5.35 (b(s(s(z)), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[472, 36802])).
% 5.14/5.35 tff(36804,plain,
% 5.14/5.35 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36790, 36803, 474, 36799])).
% 5.14/5.35 tff(36805,plain,
% 5.14/5.35 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[119, 36804])).
% 5.14/5.35 tff(36806,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[35436, 338, 34789, 600, 3484, 30991, 11071])).
% 5.14/5.35 tff(36807,plain,((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36808,plain,
% 5.14/5.35 (~b(s(s(elem!1)), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36807, 3484, 600])).
% 5.14/5.35 tff(36809,plain,
% 5.14/5.35 (~b(s(s(z)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36796, 600, 555])).
% 5.14/5.35 tff(36810,plain,
% 5.14/5.35 (r(s(s(z)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[956, 36809])).
% 5.14/5.35 tff(36811,plain,
% 5.14/5.35 (~b(s(s(elem!1)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[31036, 3484, 36077, 555])).
% 5.14/5.35 tff(36812,plain,
% 5.14/5.35 (r(s(s(elem!1)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[800, 36811])).
% 5.14/5.35 tff(36813,plain,
% 5.14/5.35 (~r(s(s(elem!1)), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[21940, 82, 36812, 36810])).
% 5.14/5.35 tff(36814,plain,
% 5.14/5.35 (s(s(elem!1)) = s(s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[22190, 36813, 36808])).
% 5.14/5.35 tff(36815,plain,
% 5.14/5.35 ((s(s(elem!1)) = elem!1) <=> (s(s(z)) = elem!1)),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36814])).
% 5.14/5.35 tff(36816,plain,
% 5.14/5.35 ((s(s(elem!1)) = elem!1) <=> (elem!1 = s(s(z)))),
% 5.14/5.35 inference(transitivity,[status(thm)],[36815, 3512])).
% 5.14/5.35 tff(36817,plain,
% 5.14/5.35 ((elem!1 = s(s(z))) <=> (s(s(elem!1)) = elem!1)),
% 5.14/5.35 inference(symmetry,[status(thm)],[36816])).
% 5.14/5.35 tff(36818,plain,
% 5.14/5.35 ((~(elem!1 = s(s(z)))) <=> (~(s(s(elem!1)) = elem!1))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36817])).
% 5.14/5.35 tff(36819,plain,
% 5.14/5.35 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[26172, 36811, 36077])).
% 5.14/5.35 tff(36820,plain,
% 5.14/5.35 (~(s(s(s(z))) = s(elem!1))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[10692, 36819])).
% 5.14/5.35 tff(36821,plain,
% 5.14/5.35 (~(elem!1 = s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[31165, 36820])).
% 5.14/5.35 tff(36822,plain,
% 5.14/5.35 (~(s(s(elem!1)) = elem!1)),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[36821, 36818])).
% 5.14/5.35 tff(36823,plain,
% 5.14/5.35 ((~r(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~(s(s(s(elem!1))) = s(s(elem!1)))) | (~r(s(s(elem!1)), z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[24676, 30991])).
% 5.14/5.35 tff(36824,plain,
% 5.14/5.35 (~(s(s(s(elem!1))) = s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36823, 36812, 34789, 36810, 3484])).
% 5.14/5.35 tff(36825,plain,
% 5.14/5.35 (~(s(s(elem!1)) = s(elem!1))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1343, 36824])).
% 5.14/5.35 tff(36826,plain,
% 5.14/5.35 (s(elem!1) = s(z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[10916, 36814])).
% 5.14/5.35 tff(36827,plain,
% 5.14/5.35 (z = elem!1),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1912, 36826])).
% 5.14/5.35 tff(36828,plain,
% 5.14/5.35 (~b(s(z), elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[709, 36827, 1])).
% 5.14/5.35 tff(36829,plain,
% 5.14/5.35 (r(s(z), elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[701, 36828, 691])).
% 5.14/5.35 tff(36830,plain,
% 5.14/5.35 (~r(s(z), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[17354, 36812, 27])).
% 5.14/5.35 tff(36831,plain,
% 5.14/5.35 (b(s(z), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[743, 36830])).
% 5.14/5.35 tff(36832,plain,
% 5.14/5.35 (elem!1 = z),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2752, 36827])).
% 5.14/5.35 tff(36833,plain,
% 5.14/5.35 (b(z, s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[25711, 36832, 36442])).
% 5.14/5.35 tff(36834,plain,
% 5.14/5.35 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[7335, 36832, 487])).
% 5.14/5.35 tff(36835,plain,
% 5.14/5.35 (~r(s(s(s(elem!1))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[8996, 36834, 36812])).
% 5.14/5.35 tff(36836,plain,
% 5.14/5.35 (b(s(s(s(elem!1))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1387, 36835])).
% 5.14/5.35 tff(36837,plain,
% 5.14/5.35 (inj_0(s(s(elem!1))) = inj_0(s(s(z)))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36814])).
% 5.14/5.35 tff(36838,plain,
% 5.14/5.35 (s(elem!1) = s(z)),
% 5.14/5.35 inference(transitivity,[status(thm)],[182, 36837, 40])).
% 5.14/5.35 tff(36839,plain,
% 5.14/5.35 (r(s(elem!1), elem!1) <=> r(s(z), elem!1)),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36838])).
% 5.14/5.35 tff(36840,plain,
% 5.14/5.35 (r(s(z), elem!1) <=> r(s(elem!1), elem!1)),
% 5.14/5.35 inference(symmetry,[status(thm)],[36839])).
% 5.14/5.35 tff(36841,plain,
% 5.14/5.35 (r(s(elem!1), elem!1)),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[36829, 36840])).
% 5.14/5.35 tff(36842,plain,
% 5.14/5.35 (~(s(s(s(s(elem!1)))) = s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1329, 36824])).
% 5.14/5.35 tff(36843,plain,
% 5.14/5.35 (~b(z, elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1036, 36832])).
% 5.14/5.35 tff(36844,plain,
% 5.14/5.35 (~(s(s(s(elem!1))) = elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2149, 36833, 36843])).
% 5.14/5.35 tff(36845,plain,
% 5.14/5.35 (~(s(elem!1) = s(s(s(s(elem!1)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1336, 36844])).
% 5.14/5.35 tff(36846,plain,
% 5.14/5.35 (~(s(s(s(s(s(s(elem!1)))))) = s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[5699, 36845])).
% 5.14/5.35 tff(36847,plain,
% 5.14/5.35 (~b(s(s(elem!1)), elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[906, 36827, 36811])).
% 5.14/5.35 tff(36848,plain,
% 5.14/5.35 (~(elem!1 = s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1924, 36844])).
% 5.14/5.35 tff(36849,plain,
% 5.14/5.35 (~r(z, s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[7217, 36834, 36812])).
% 5.14/5.35 tff(36850,plain,
% 5.14/5.35 (~r(elem!1, s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2802, 36849, 36832])).
% 5.14/5.35 tff(36851,plain,
% 5.14/5.35 (b(elem!1, s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1946, 36850, 36848])).
% 5.14/5.35 tff(36852,plain,
% 5.14/5.35 (b(s(s(s(elem!1))), s(elem!1)) <=> b(s(s(s(elem!1))), s(z))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36838])).
% 5.14/5.35 tff(36853,plain,
% 5.14/5.35 (b(s(s(s(elem!1))), s(z)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 5.14/5.35 inference(symmetry,[status(thm)],[36852])).
% 5.14/5.35 tff(36854,plain,
% 5.14/5.35 (s(s(s(elem!1))) = s(s(s(z)))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36814])).
% 5.14/5.35 tff(36855,plain,
% 5.14/5.35 (b(s(s(s(elem!1))), s(z)) <=> b(s(s(s(z))), s(z))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36854])).
% 5.14/5.35 tff(36856,plain,
% 5.14/5.35 (b(s(s(s(z))), s(z)) <=> b(s(s(s(elem!1))), s(z))),
% 5.14/5.35 inference(symmetry,[status(thm)],[36855])).
% 5.14/5.35 tff(36857,plain,
% 5.14/5.35 (b(s(s(s(z))), s(z)) <=> b(s(s(s(elem!1))), s(elem!1))),
% 5.14/5.35 inference(transitivity,[status(thm)],[36856, 36853])).
% 5.14/5.35 tff(36858,plain,
% 5.14/5.35 (b(s(s(s(elem!1))), s(elem!1))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[19446, 36857])).
% 5.14/5.35 tff(36859,plain,
% 5.14/5.35 (~r(s(s(s(elem!1))), elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1316, 36835, 36827])).
% 5.14/5.35 tff(36860,plain,
% 5.14/5.35 (b(s(s(s(elem!1))), elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2162, 36859, 36844])).
% 5.14/5.35 tff(36861,plain,
% 5.14/5.35 (s(s(s(z))) = s(s(s(elem!1)))),
% 5.14/5.35 inference(symmetry,[status(thm)],[36854])).
% 5.14/5.35 tff(36862,plain,
% 5.14/5.35 (r(s(s(s(z))), s(z)) <=> r(s(s(s(elem!1))), s(z))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36861])).
% 5.14/5.35 tff(36863,plain,
% 5.14/5.35 ((~r(s(s(s(z))), s(z))) <=> (~r(s(s(s(elem!1))), s(z)))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36862])).
% 5.14/5.35 tff(36864,plain,
% 5.14/5.35 (~r(s(s(s(elem!1))), s(z))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[19445, 36863])).
% 5.14/5.35 tff(36865,plain,
% 5.14/5.35 (r(elem!1, s(s(elem!1))) <=> r(elem!1, s(s(z)))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36814])).
% 5.14/5.35 tff(36866,plain,
% 5.14/5.35 (r(elem!1, s(s(z))) <=> r(elem!1, s(s(elem!1)))),
% 5.14/5.35 inference(symmetry,[status(thm)],[36865])).
% 5.14/5.35 tff(36867,plain,
% 5.14/5.35 (r(z, s(s(z))) <=> r(elem!1, s(s(z)))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36827])).
% 5.14/5.35 tff(36868,plain,
% 5.14/5.35 (r(z, s(s(z))) <=> r(elem!1, s(s(elem!1)))),
% 5.14/5.35 inference(transitivity,[status(thm)],[36867, 36866])).
% 5.14/5.35 tff(36869,plain,
% 5.14/5.35 (~b(z, s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[982, 600, 34789, 36077, 555])).
% 5.14/5.35 tff(36870,plain,
% 5.14/5.35 (r(z, s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[563, 36869])).
% 5.14/5.35 tff(36871,plain,
% 5.14/5.35 (r(elem!1, s(s(elem!1)))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[36870, 36868])).
% 5.14/5.35 tff(36872,plain,
% 5.14/5.35 (s(s(s(s(elem!1)))) = s(s(s(s(z))))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36854])).
% 5.14/5.35 tff(36873,plain,
% 5.14/5.35 (b(s(s(s(s(elem!1)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36872, 36814])).
% 5.14/5.35 tff(36874,plain,
% 5.14/5.35 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 5.14/5.35 inference(symmetry,[status(thm)],[36873])).
% 5.14/5.35 tff(36875,plain,
% 5.14/5.35 (b(s(s(s(s(elem!1)))), s(s(elem!1)))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[34789, 36874])).
% 5.14/5.35 tff(36876,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[6273, 36875, 36871, 36827, 36864, 36860, 36858, 36851, 36847, 36846, 36834, 36842, 36841, 36836, 36833, 36831, 36829, 36825, 27, 36822])).
% 5.14/5.35 tff(36877,plain,((~b(s(s(s(s(z)))), s(s(elem!1)))) | r(s(s(s(z))), s(z)) | (s(z) = elem!1) | (~r(s(s(z)), s(s(s(z))))) | b(s(z), z) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36878,plain,
% 5.14/5.35 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36877, 1, 691, 487, 19445, 36799, 555])).
% 5.14/5.35 tff(36879,plain,
% 5.14/5.35 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[34886, 36878])).
% 5.14/5.35 tff(36880,plain,
% 5.14/5.35 (~r(s(z), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[15263, 36879, 36805])).
% 5.14/5.35 tff(36881,plain,
% 5.14/5.35 (b(s(z), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[743, 36880])).
% 5.14/5.35 tff(36882,plain,
% 5.14/5.35 (~r(s(s(elem!1)), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[10675, 36879, 36805])).
% 5.14/5.35 tff(36883,plain,
% 5.14/5.35 (b(s(s(elem!1)), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[784, 36882])).
% 5.14/5.35 tff(36884,plain,
% 5.14/5.35 (~b(s(s(elem!1)), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[11079, 36883, 36881, 474, 36803])).
% 5.14/5.35 tff(36885,plain,
% 5.14/5.35 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[18334, 36879, 1038])).
% 5.14/5.35 tff(36886,plain,
% 5.14/5.35 (r(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[19482, 36885, 19446, 36442, 27, 11888])).
% 5.14/5.35 tff(36887,plain,
% 5.14/5.35 (~r(s(s(elem!1)), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[17012, 36886, 487])).
% 5.14/5.35 tff(36888,plain,
% 5.14/5.35 (s(s(elem!1)) = s(s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[22190, 36887, 36884])).
% 5.14/5.35 tff(36889,plain,
% 5.14/5.35 (s(elem!1) = s(z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[10916, 36888])).
% 5.14/5.35 tff(36890,plain,
% 5.14/5.35 (z = elem!1),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1912, 36889])).
% 5.14/5.35 tff(36891,plain,
% 5.14/5.35 (s(z) = s(elem!1)),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36890])).
% 5.14/5.35 tff(36892,plain,
% 5.14/5.35 (s(s(z)) = s(s(elem!1))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36891])).
% 5.14/5.35 tff(36893,plain,
% 5.14/5.35 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36892])).
% 5.14/5.35 tff(36894,plain,
% 5.14/5.35 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 5.14/5.35 inference(symmetry,[status(thm)],[36893])).
% 5.14/5.35 tff(36895,plain,
% 5.14/5.35 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(s(s(z)))), s(s(z))))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36894])).
% 5.14/5.35 tff(36896,plain,
% 5.14/5.35 (~b(s(s(s(s(z)))), s(s(z)))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[36878, 36895])).
% 5.14/5.35 tff(36897,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[34789, 36896])).
% 5.14/5.35 tff(36898,plain,(b(s(z), z) | (~r(s(s(z)), s(s(s(z))))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (s(z) = elem!1) | r(s(s(s(z))), s(z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36899,plain,
% 5.14/5.35 (b(s(z), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36898, 36782, 36762, 36776, 36793, 36779, 36756])).
% 5.14/5.35 tff(36900,plain,
% 5.14/5.35 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[21865, 1740, 36442, 474, 458, 457])).
% 5.14/5.35 tff(36901,plain,
% 5.14/5.35 (~b(s(s(elem!1)), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[11079, 31398, 31400, 474, 475])).
% 5.14/5.35 tff(36902,plain,
% 5.14/5.35 (s(s(elem!1)) = s(s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[22190, 36901, 18337])).
% 5.14/5.35 tff(36903,plain,
% 5.14/5.35 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36902])).
% 5.14/5.35 tff(36904,plain,
% 5.14/5.35 (b(s(s(s(z))), s(s(z))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.35 inference(symmetry,[status(thm)],[36903])).
% 5.14/5.35 tff(36905,plain,
% 5.14/5.35 ((~b(s(s(s(z))), s(s(z)))) <=> (~b(s(s(s(z))), s(s(elem!1))))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36904])).
% 5.14/5.35 tff(36906,plain,
% 5.14/5.35 (~b(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[634, 36905])).
% 5.14/5.35 tff(36907,plain,
% 5.14/5.35 (~r(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[18334, 10491, 1038])).
% 5.14/5.35 tff(36908,plain,
% 5.14/5.35 (b(s(s(s(z))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[6754, 36907, 871])).
% 5.14/5.35 tff(36909,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36908, 36906])).
% 5.14/5.35 tff(36910,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | b(s(s(s(z))), s(s(z))) | r(s(s(elem!1)), s(s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36911,plain,
% 5.14/5.35 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36910, 24665, 36900, 474, 475, 871, 1038, 108])).
% 5.14/5.35 tff(36912,plain,
% 5.14/5.35 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[34886, 36911])).
% 5.14/5.35 tff(36913,plain,
% 5.14/5.35 (~b(s(s(elem!1)), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36807, 36912, 36799])).
% 5.14/5.35 tff(36914,plain,
% 5.14/5.35 (s(s(elem!1)) = s(s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[22190, 36913, 24665])).
% 5.14/5.35 tff(36915,plain,
% 5.14/5.35 (s(elem!1) = s(z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[10916, 36914])).
% 5.14/5.35 tff(36916,plain,
% 5.14/5.35 (z = elem!1),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1912, 36915])).
% 5.14/5.35 tff(36917,plain,
% 5.14/5.35 (elem!1 = z),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2752, 36916])).
% 5.14/5.35 tff(36918,plain,
% 5.14/5.35 (r(s(s(elem!1)), s(s(s(elem!1))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[7335, 36917, 487])).
% 5.14/5.35 tff(36919,plain,
% 5.14/5.35 (~r(s(s(s(elem!1))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[8996, 36918, 787])).
% 5.14/5.35 tff(36920,plain,
% 5.14/5.35 (b(s(s(s(elem!1))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[1387, 36919])).
% 5.14/5.35 tff(36921,plain,
% 5.14/5.35 (b(s(s(s(z))), elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[4508, 36920, 36916])).
% 5.14/5.35 tff(36922,plain,
% 5.14/5.35 (b(z, s(s(s(z)))) <=> b(elem!1, s(s(s(z))))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36916])).
% 5.14/5.35 tff(36923,plain,
% 5.14/5.35 (b(elem!1, s(s(s(z))))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[36442, 36922])).
% 5.14/5.35 tff(36924,plain,
% 5.14/5.35 (b(s(z), elem!1)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[3104, 36917, 1740])).
% 5.14/5.35 tff(36925,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2407, 338, 36924, 457, 458, 36923, 36921])).
% 5.14/5.35 tff(36926,plain,((~r(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (s(s(s(z))) = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36927,plain,
% 5.14/5.35 (~r(s(s(elem!1)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36926, 36899, 36780, 36782, 36798, 36762, 36788, 36794, 36776, 36792, 36758])).
% 5.14/5.35 tff(36928,plain,
% 5.14/5.35 (b(s(s(elem!1)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[800, 36927])).
% 5.14/5.35 tff(36929,plain,
% 5.14/5.35 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[21865, 36899, 36442, 36762, 36780, 36758])).
% 5.14/5.35 tff(36930,plain,
% 5.14/5.35 (r(s(s(elem!1)), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36910, 10491, 634, 474, 475, 871, 1038, 108])).
% 5.14/5.35 tff(36931,plain,
% 5.14/5.35 (~r(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[17012, 36930, 487])).
% 5.14/5.35 tff(36932,plain,
% 5.14/5.35 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[6876, 36908, 457, 458, 31400])).
% 5.14/5.35 tff(36933,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[6881, 36932, 36931, 1208])).
% 5.14/5.35 tff(36934,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(z)), s(s(s(z))))) | (s(s(s(z))) = s(s(elem!1))) | b(s(s(s(z))), s(s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36935,plain,
% 5.14/5.35 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36934, 36929, 36780, 36782, 36794, 36792, 36762, 36788, 36776, 36758])).
% 5.14/5.35 tff(36936,plain,
% 5.14/5.35 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[34886, 36935])).
% 5.14/5.35 tff(36937,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[31036, 36936, 36928, 36077, 36756])).
% 5.14/5.35 tff(36938,plain,(~r(s(z), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36939,plain,
% 5.14/5.35 (b(s(z), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[106, 36938])).
% 5.14/5.35 tff(36940,plain,
% 5.14/5.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.35 inference(rewrite,[status(thm)],[])).
% 5.14/5.35 tff(36941,plain,
% 5.14/5.35 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.35 inference(rewrite,[status(thm)],[])).
% 5.14/5.35 tff(36942,plain,
% 5.14/5.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36941])).
% 5.14/5.35 tff(36943,plain,
% 5.14/5.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.35 inference(transitivity,[status(thm)],[36942, 36940])).
% 5.14/5.35 tff(36944,plain,
% 5.14/5.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))))),
% 5.14/5.35 inference(quant_inst,[status(thm)],[])).
% 5.14/5.35 tff(36945,plain,
% 5.14/5.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[36944, 36943])).
% 5.14/5.35 tff(36946,plain,
% 5.14/5.35 (~b(s(s(elem!1)), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36945, 338, 36754, 36939, 34789, 36077, 30991])).
% 5.14/5.35 tff(36947,plain,
% 5.14/5.35 (r(s(s(elem!1)), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[784, 36946])).
% 5.14/5.35 tff(36948,plain,
% 5.14/5.35 (~r(s(s(elem!1)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[7133, 82, 36752, 36947])).
% 5.14/5.35 tff(36949,plain,
% 5.14/5.35 (b(s(s(elem!1)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[800, 36948])).
% 5.14/5.35 tff(36950,plain,
% 5.14/5.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.35 inference(rewrite,[status(thm)],[])).
% 5.14/5.35 tff(36951,plain,
% 5.14/5.35 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.35 inference(rewrite,[status(thm)],[])).
% 5.14/5.35 tff(36952,plain,
% 5.14/5.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))))),
% 5.14/5.35 inference(monotonicity,[status(thm)],[36951])).
% 5.14/5.35 tff(36953,plain,
% 5.14/5.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.35 inference(transitivity,[status(thm)],[36952, 36950])).
% 5.14/5.35 tff(36954,plain,
% 5.14/5.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 5.14/5.35 inference(quant_inst,[status(thm)],[])).
% 5.14/5.35 tff(36955,plain,
% 5.14/5.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z))))))),
% 5.14/5.35 inference(modus_ponens,[status(thm)],[36954, 36953])).
% 5.14/5.35 tff(36956,plain,
% 5.14/5.35 (~b(z, s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36955, 338, 36949, 36754, 34789, 36077, 30991])).
% 5.14/5.35 tff(36957,plain,
% 5.14/5.35 (r(z, s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[391, 36956])).
% 5.14/5.35 tff(36958,plain,
% 5.14/5.35 (~r(s(s(s(z))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[19094, 427, 36752])).
% 5.14/5.35 tff(36959,plain,
% 5.14/5.35 (b(s(s(s(z))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[135, 36958])).
% 5.14/5.35 tff(36960,plain,
% 5.14/5.35 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[28755, 427, 70])).
% 5.14/5.35 tff(36961,plain,
% 5.14/5.35 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[639, 36960])).
% 5.14/5.35 tff(36962,plain,
% 5.14/5.35 (~b(s(s(z)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[30345, 36961, 36442, 36959, 36754])).
% 5.14/5.35 tff(36963,plain,
% 5.14/5.35 (r(s(s(z)), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[956, 36962])).
% 5.14/5.35 tff(36964,plain,
% 5.14/5.35 (~r(s(s(s(s(z)))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2112, 36957, 36752])).
% 5.14/5.35 tff(36965,plain,
% 5.14/5.35 (b(s(s(s(s(z)))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[119, 36964])).
% 5.14/5.35 tff(36966,plain,
% 5.14/5.35 (~b(s(z), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[34411, 36961, 36077, 36754, 36965, 36442])).
% 5.14/5.35 tff(36967,plain,
% 5.14/5.35 (r(s(z), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[26, 36966])).
% 5.14/5.35 tff(36968,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[21488, 36967, 36963, 70])).
% 5.14/5.35 tff(36969,plain,((~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36970,plain,
% 5.14/5.35 (~r(s(s(s(z))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36969, 70])).
% 5.14/5.35 tff(36971,plain,
% 5.14/5.35 (b(s(s(s(z))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[437, 36970])).
% 5.14/5.35 tff(36972,plain,
% 5.14/5.35 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[659, 36971, 34789, 36077, 36754, 36939])).
% 5.14/5.35 tff(36973,plain,
% 5.14/5.35 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[689, 36972])).
% 5.14/5.35 tff(36974,plain,
% 5.14/5.35 (~r(s(s(s(z))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[4987, 82, 36973, 36957])).
% 5.14/5.35 tff(36975,plain,
% 5.14/5.35 (b(s(s(s(z))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[135, 36974])).
% 5.14/5.35 tff(36976,plain,
% 5.14/5.35 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36446, 405, 34789, 36077, 70])).
% 5.14/5.35 tff(36977,plain,
% 5.14/5.35 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[31474, 36976])).
% 5.14/5.35 tff(36978,plain,
% 5.14/5.35 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[35629, 36977, 36973])).
% 5.14/5.35 tff(36979,plain,
% 5.14/5.35 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[30345, 31747, 36442, 36975, 36754])).
% 5.14/5.35 tff(36980,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[639, 36979, 36978])).
% 5.14/5.35 tff(36981,plain,((~r(s(z), z)) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36982,plain,
% 5.14/5.35 (~r(s(z), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36981, 70])).
% 5.14/5.35 tff(36983,plain,
% 5.14/5.35 (b(s(z), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[26, 36982])).
% 5.14/5.35 tff(36984,plain,
% 5.14/5.35 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[35645, 36983, 36442, 70, 36975])).
% 5.14/5.35 tff(36985,plain,
% 5.14/5.35 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[34411, 36983, 36077, 36754, 36965, 36442])).
% 5.14/5.35 tff(36986,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[639, 36985, 36984])).
% 5.14/5.35 tff(36987,plain,(~r(s(z), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36988,plain,
% 5.14/5.35 (b(s(z), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[455, 36987])).
% 5.14/5.35 tff(36989,plain,
% 5.14/5.35 (~r(s(s(s(s(z)))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2112, 371, 36752])).
% 5.14/5.35 tff(36990,plain,
% 5.14/5.35 (b(s(s(s(s(z)))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[119, 36989])).
% 5.14/5.35 tff(36991,plain,
% 5.14/5.35 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[27536, 36990, 34789, 36442, 36988, 36939, 371])).
% 5.14/5.35 tff(36992,plain,
% 5.14/5.35 (~r(s(s(s(z))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2939, 36988, 34789, 36752, 36939])).
% 5.14/5.35 tff(36993,plain,
% 5.14/5.35 (b(s(s(s(z))), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[437, 36992])).
% 5.14/5.35 tff(36994,plain,
% 5.14/5.35 (~b(s(z), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[21787, 371, 36752, 426, 36993])).
% 5.14/5.35 tff(36995,plain,
% 5.14/5.35 (r(s(z), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[424, 36994])).
% 5.14/5.35 tff(36996,plain,
% 5.14/5.35 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[30739, 36995, 34789, 36939, 36990])).
% 5.14/5.35 tff(36997,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[534, 36996, 36991])).
% 5.14/5.35 tff(36998,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(36999,plain,
% 5.14/5.35 (~r(z, s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36998, 426])).
% 5.14/5.35 tff(37000,plain,
% 5.14/5.35 (b(z, s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[391, 36999])).
% 5.14/5.35 tff(37001,plain,
% 5.14/5.35 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[28465, 37000, 34789, 36939, 405, 36988])).
% 5.14/5.35 tff(37002,plain,
% 5.14/5.35 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[31474, 37001])).
% 5.14/5.35 tff(37003,plain,
% 5.14/5.35 (~b(z, s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[659, 539, 34789, 36077, 36993, 36939])).
% 5.14/5.35 tff(37004,plain,
% 5.14/5.35 (r(z, s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[563, 37003])).
% 5.14/5.35 tff(37005,plain,
% 5.14/5.35 (~r(s(s(z)), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[2514, 37004, 36752])).
% 5.14/5.35 tff(37006,plain,
% 5.14/5.35 (b(s(s(z)), s(z))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[472, 37005])).
% 5.14/5.35 tff(37007,plain,
% 5.14/5.35 (~r(s(s(s(z))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[20868, 539, 34789, 36752, 36939, 36993, 36077, 405])).
% 5.14/5.35 tff(37008,plain,
% 5.14/5.35 (b(s(s(s(z))), z)),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[135, 37007])).
% 5.14/5.35 tff(37009,plain,
% 5.14/5.35 (~b(z, s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[25652, 37008, 36077, 36442, 539])).
% 5.14/5.35 tff(37010,plain,
% 5.14/5.35 (r(z, s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[391, 37009])).
% 5.14/5.35 tff(37011,plain,
% 5.14/5.35 ($false),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[5914, 37010, 37006, 34789, 36752, 36988, 405])).
% 5.14/5.35 tff(37012,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.35 tff(37013,plain,
% 5.14/5.35 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[37012, 405])).
% 5.14/5.35 tff(37014,plain,
% 5.14/5.35 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[689, 37013])).
% 5.14/5.35 tff(37015,plain,
% 5.14/5.35 (~r(s(s(z)), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[28473, 82, 37014, 37002])).
% 5.14/5.35 tff(37016,plain,
% 5.14/5.35 (b(s(s(z)), s(s(s(z))))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[534, 37015])).
% 5.14/5.35 tff(37017,plain,
% 5.14/5.35 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[36353, 37000, 426])).
% 5.14/5.35 tff(37018,plain,
% 5.14/5.35 (b(s(s(s(z))), s(s(z)))),
% 5.14/5.35 inference(unit_resolution,[status(thm)],[639, 37017])).
% 5.14/5.35 tff(37019,plain,
% 5.14/5.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 5.14/5.36 inference(rewrite,[status(thm)],[])).
% 5.14/5.36 tff(37020,plain,
% 5.14/5.36 (((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z))))) <=> ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 5.14/5.36 inference(rewrite,[status(thm)],[])).
% 5.14/5.36 tff(37021,plain,
% 5.14/5.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))))),
% 5.14/5.36 inference(monotonicity,[status(thm)],[37020])).
% 5.14/5.36 tff(37022,plain,
% 5.14/5.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z)))))),
% 5.14/5.36 inference(transitivity,[status(thm)],[37021, 37019])).
% 5.14/5.36 tff(37023,plain,
% 5.14/5.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(z)))))),
% 5.14/5.36 inference(quant_inst,[status(thm)],[])).
% 5.14/5.36 tff(37024,plain,
% 5.14/5.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X2, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(z))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(z)))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(z))))),
% 5.14/5.36 inference(modus_ponens,[status(thm)],[37023, 37022])).
% 5.14/5.36 tff(37025,plain,
% 5.14/5.36 (~b(z, s(s(z)))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[37024, 338, 37016, 36442, 36993, 37018, 36988])).
% 5.14/5.36 tff(37026,plain,
% 5.14/5.36 (r(z, s(s(z)))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[563, 37025])).
% 5.14/5.36 tff(37027,plain,
% 5.14/5.36 (~b(s(z), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[26842, 37026, 36752, 36993, 37016])).
% 5.14/5.36 tff(37028,plain,
% 5.14/5.36 (r(s(z), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[424, 37027])).
% 5.14/5.36 tff(37029,plain,
% 5.14/5.36 (~(s(z) = elem!1)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[36175, 37013])).
% 5.14/5.36 tff(37030,plain,
% 5.14/5.36 (~(s(s(s(z))) = s(s(elem!1)))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[1237, 37029])).
% 5.14/5.36 tff(37031,plain,
% 5.14/5.36 (~(s(s(elem!1)) = s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[1207, 37030])).
% 5.14/5.36 tff(37032,plain,
% 5.14/5.36 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[34698, 37000, 36077, 36939])).
% 5.14/5.36 tff(37033,plain,
% 5.14/5.36 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[119, 37032])).
% 5.14/5.36 tff(37034,plain,
% 5.14/5.36 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[3437, 37028, 37033])).
% 5.14/5.36 tff(37035,plain,
% 5.14/5.36 (b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[1011, 37034])).
% 5.14/5.36 tff(37036,plain,
% 5.14/5.36 (~b(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[31175, 37035, 36988, 36993, 37018])).
% 5.14/5.36 tff(37037,plain,
% 5.14/5.36 (r(s(s(elem!1)), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[6881, 37036, 37031])).
% 5.14/5.36 tff(37038,plain,
% 5.14/5.36 ((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[35928, 338, 37018, 36939, 34789, 30991])).
% 5.14/5.36 tff(37039,plain,
% 5.14/5.36 (~b(s(s(elem!1)), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[37038, 37035])).
% 5.14/5.36 tff(37040,plain,
% 5.14/5.36 (r(s(s(elem!1)), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[784, 37039])).
% 5.14/5.36 tff(37041,plain,
% 5.14/5.36 ($false),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[28843, 37040, 37037, 37028])).
% 5.14/5.36 tff(37042,plain,((~r(s(s(s(z))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.36 tff(37043,plain,
% 5.14/5.36 (~r(s(s(s(z))), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[37042, 27])).
% 5.14/5.36 tff(37044,plain,
% 5.14/5.36 (b(s(s(s(z))), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[135, 37043])).
% 5.14/5.36 tff(37045,plain,
% 5.14/5.36 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[5800, 36990, 34789, 36939, 36988])).
% 5.14/5.36 tff(37046,plain,
% 5.14/5.36 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[31474, 37045])).
% 5.14/5.36 tff(37047,plain,
% 5.14/5.36 (~r(s(s(s(z))), s(s(z)))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[35629, 37046, 37014])).
% 5.14/5.36 tff(37048,plain,
% 5.14/5.36 (~r(z, s(s(z)))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[35615, 36990, 36752, 36939])).
% 5.14/5.36 tff(37049,plain,
% 5.14/5.36 (b(z, s(s(z)))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[563, 37048])).
% 5.14/5.36 tff(37050,plain,
% 5.14/5.36 (~r(s(s(s(z))), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[37042, 405])).
% 5.14/5.36 tff(37051,plain,
% 5.14/5.36 (b(s(s(s(z))), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[135, 37050])).
% 5.14/5.36 tff(37052,plain,
% 5.14/5.36 (~b(s(s(z)), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[5914, 371, 34789, 36752, 36988, 405])).
% 5.14/5.36 tff(37053,plain,
% 5.14/5.36 (r(s(s(z)), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[472, 37052])).
% 5.14/5.36 tff(37054,plain,
% 5.14/5.36 (~r(s(s(z)), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[29921, 37053, 36752])).
% 5.14/5.36 tff(37055,plain,
% 5.14/5.36 (b(s(s(z)), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[956, 37054])).
% 5.14/5.36 tff(37056,plain,
% 5.14/5.36 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[30345, 37055, 36442, 37051, 37049])).
% 5.14/5.36 tff(37057,plain,
% 5.14/5.36 ($false),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[639, 37056, 37047])).
% 5.14/5.36 tff(37058,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.36 tff(37059,plain,
% 5.14/5.36 (~r(z, s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[37058, 27])).
% 5.14/5.36 tff(37060,plain,
% 5.14/5.36 (b(z, s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[391, 37059])).
% 5.14/5.36 tff(37061,plain,
% 5.14/5.36 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[26503, 37060, 36077, 36442, 37044])).
% 5.14/5.36 tff(37062,plain,
% 5.14/5.36 (~b(s(s(z)), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[3952, 338, 476, 36442, 36939, 36988, 34789])).
% 5.14/5.36 tff(37063,plain,
% 5.14/5.36 (r(s(s(z)), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[956, 37062])).
% 5.14/5.36 tff(37064,plain,
% 5.14/5.36 (~r(s(s(z)), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[30420, 37063, 405])).
% 5.14/5.36 tff(37065,plain,
% 5.14/5.36 (b(s(s(z)), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[472, 37064])).
% 5.14/5.36 tff(37066,plain,
% 5.14/5.36 (~r(z, s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[5914, 37065, 34789, 36752, 36988, 405])).
% 5.14/5.36 tff(37067,plain,
% 5.14/5.36 (b(z, s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[391, 37066])).
% 5.14/5.36 tff(37068,plain,
% 5.14/5.36 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[26503, 37067, 36077, 36442, 37051])).
% 5.14/5.36 tff(37069,plain,
% 5.14/5.36 (~b(s(s(s(s(z)))), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[2919, 37065, 34789, 36939, 36988])).
% 5.14/5.36 tff(37070,plain,
% 5.14/5.36 (r(s(s(s(s(z)))), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[119, 37069])).
% 5.14/5.36 tff(37071,plain,
% 5.14/5.36 (~b(s(z), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[484, 37065, 36988, 36993, 476])).
% 5.14/5.36 tff(37072,plain,
% 5.14/5.36 (r(s(z), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[424, 37071])).
% 5.14/5.36 tff(37073,plain,
% 5.14/5.36 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[3437, 37072, 37070])).
% 5.14/5.36 tff(37074,plain,
% 5.14/5.36 ($false),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[1011, 37073, 37068])).
% 5.14/5.36 tff(37075,plain,((~b(s(s(z)), s(s(s(z))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.36 tff(37076,plain,
% 5.14/5.36 (~b(s(s(z)), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[37075, 27])).
% 5.14/5.36 tff(37077,plain,
% 5.14/5.36 (r(s(s(z)), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[534, 37076])).
% 5.14/5.36 tff(37078,plain,
% 5.14/5.36 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[37012, 27])).
% 5.14/5.36 tff(37079,plain,
% 5.14/5.36 (~(s(z) = elem!1)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[36175, 37078])).
% 5.14/5.36 tff(37080,plain,
% 5.14/5.36 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[36898, 37060, 36988, 1, 37079, 36992, 37077])).
% 5.14/5.36 tff(37081,plain,
% 5.14/5.36 ($false),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[1011, 37080, 37061])).
% 5.14/5.36 tff(37082,plain,(b(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 5.14/5.36 tff(37083,plain,
% 5.14/5.36 (~r(s(z), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[21770, 555, 36077, 36939, 37082, 36442])).
% 5.14/5.36 tff(37084,plain,
% 5.14/5.36 (b(s(z), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[424, 37083])).
% 5.14/5.36 tff(37085,plain,
% 5.14/5.36 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[21813, 37084, 36442, 36939, 36993, 37082])).
% 5.14/5.36 tff(37086,plain,
% 5.14/5.36 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[689, 37085])).
% 5.14/5.36 tff(37087,plain,
% 5.14/5.36 (~r(s(s(s(z))), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[21801, 555, 34789, 36752, 36939, 36993, 37082, 36077])).
% 5.14/5.36 tff(37088,plain,
% 5.14/5.36 (b(s(s(s(z))), z)),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[135, 37087])).
% 5.14/5.36 tff(37089,plain,
% 5.14/5.36 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[26503, 37088, 36077, 36442, 555])).
% 5.14/5.36 tff(37090,plain,
% 5.14/5.36 (r(s(s(s(s(z)))), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[1011, 37089])).
% 5.14/5.36 tff(37091,plain,
% 5.14/5.36 ($false),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[28453, 37090, 37086, 36077, 36939, 37082, 36993, 555, 36442, 37084])).
% 5.14/5.36 tff(37092,plain,(~b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 5.14/5.36 tff(37093,plain,
% 5.14/5.36 (r(z, s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[391, 37092])).
% 5.14/5.36 tff(37094,plain,
% 5.14/5.36 (~r(s(z), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[21739, 37093, 36077, 36442, 36939, 37082, 36993])).
% 5.14/5.36 tff(37095,plain,
% 5.14/5.36 (b(s(z), s(s(s(z))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[424, 37094])).
% 5.14/5.36 tff(37096,plain,
% 5.14/5.36 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[21813, 37095, 36442, 36939, 36993, 37082])).
% 5.14/5.36 tff(37097,plain,
% 5.14/5.36 (r(s(s(s(z))), s(s(s(s(z)))))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[689, 37096])).
% 5.14/5.36 tff(37098,plain,
% 5.14/5.36 (~r(s(s(s(s(z)))), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[2112, 37093, 36752])).
% 5.14/5.36 tff(37099,plain,
% 5.14/5.36 (b(s(s(s(s(z)))), s(z))),
% 5.14/5.36 inference(unit_resolution,[status(thm)],[119, 37098])).
% 5.14/5.37 tff(37100,plain,
% 5.14/5.37 (~b(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.37 inference(unit_resolution,[status(thm)],[5800, 37099, 34789, 36939, 36988])).
% 5.14/5.37 tff(37101,plain,
% 5.14/5.37 (r(s(s(z)), s(s(s(s(z)))))),
% 5.14/5.37 inference(unit_resolution,[status(thm)],[31474, 37100])).
% 5.14/5.37 tff(37102,plain,
% 5.14/5.37 (~b(s(s(s(z))), s(s(z)))),
% 5.14/5.37 inference(unit_resolution,[status(thm)],[21865, 37095, 36442, 36988, 36993, 37082])).
% 5.14/5.37 tff(37103,plain,
% 5.14/5.37 (r(s(s(s(z))), s(s(z)))),
% 5.14/5.37 inference(unit_resolution,[status(thm)],[639, 37102])).
% 5.14/5.37 tff(37104,plain,
% 5.14/5.37 ($false),
% 5.14/5.37 inference(unit_resolution,[status(thm)],[35629, 37103, 37101, 37097])).
% 5.14/5.37 % SZS output end Proof
% 5.14/5.37 % E exiting
%------------------------------------------------------------------------------